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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 11 computations (0% saved)

sample764.0ms (16%)

Memory

16.6MiB live, 969.2MiB allocated

Samples

457.0ms	8 248×	0	valid
0.0ms	5×	1	valid
0.0ms	3×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 284.0ms

ival-div: 162.0ms (57% of total)

ival-mult: 55.0ms (19.4% of total)

ival-add: 46.0ms (16.2% of total)

exact: 12.0ms (4.2% of total)

ival-true: 6.0ms (2.1% of total)

ival-assert: 3.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain133.0ms (2.8%)

Memory

26.6MiB live, 140.5MiB 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

66.0ms

512×

valid

Compiler

Compiled 88 to 40 computations (54.5% saved)

Precisions

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

ival-div: 11.0ms (63.1% of total)

ival-mult: 3.0ms (17.2% of total)

ival-add: 2.0ms (11.5% of total)

exact: 1.0ms (5.7% of total)

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

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

preprocess43.0ms (0.9%)

Memory

-28.2MiB live, 15.3MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

simplify4.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB 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)

localize22.0ms (0.5%)

Memory

5.5MiB live, 41.4MiB 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	0.01171875	(+.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 52 to 20 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 5.0ms (63.4% of total)

ival-mult: 2.0ms (25.3% of total)

ival-add: 1.0ms (12.7% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

3.3MiB live, 3.3MiB 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))
0.0ms	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))

0.0ms

-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))

simplify10.0ms (0.2%)

Memory

13.7MiB live, 13.7MiB 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))

rewrite399.0ms (8.4%)

Memory

-112.3MiB live, 230.5MiB 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)))))

eval28.0ms (0.6%)

Memory: 2.6MiB live, 48.2MiB allocated
Compiler: Compiled 5 013 to 600 computations (88% saved)

prune7.0ms (0.2%)

Memory

-17.1MiB live, 21.3MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	170	7	177
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	171	7	178

Accuracy

100.0%

Counts

178 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.0%	(fma.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
▶	49.0%	(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))
	99.1%	(-.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))))
	71.4%	(+.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)))))
▶	71.4%	(+.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)))))
▶	49.0%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Compiler

Compiled 182 to 134 computations (26.4% saved)

simplify23.0ms (0.5%)

Memory

5.5MiB live, 41.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	122
0	49	115
1	72	115
2	150	115
3	329	115
4	597	115
5	733	115
6	757	115
7	761	115
8	771	115
9	782	115
10	783	115
0	783	110

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

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

localize92.0ms (1.9%)

Memory

25.9MiB live, 222.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.053066259768442016	(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
accuracy	0.08984375	(*.f64 x #s(literal 841/108 binary64))
accuracy	0.14519501953688405	(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
accuracy	9.214923559543278	(/.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 #s(literal 841/108 binary64))
accuracy	0.03125	(.f64 (.f64 x x) #s(literal 841/108 binary64))
accuracy	0.06640625	(fma.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
accuracy	16.020586019620264	(sqrt.f64 (.f64 (.f64 x x) #s(literal 841/108 binary64)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.046875	(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x))
accuracy	0.10546875	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	0.1171875	(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
accuracy	16.288306010139404	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
accuracy	0.046875	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))

Samples

38.0ms	126×	0	valid
36.0ms	130×	0	invalid

Compiler

Compiled 255 to 65 computations (74.5% saved)

Precisions

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

const: 21.0ms (36.2% of total)

ival-mult: 14.0ms (24.1% of total)

ival-div: 9.0ms (15.5% of total)

ival-add: 6.0ms (10.3% of total)

ival-sqrt: 6.0ms (10.3% of total)

ival-sub: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.4%)

Memory

-17.0MiB live, 26.8MiB allocated

Counts

17 → 41

Calls

Call 1

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

Outputs
4/29
(+ 4/29 (* 841/108 x))
(* 841/108 (sqrt x))
(* 707281/11664 x)
(sqrt x)
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* x (sqrt 841/108))
(* 841/108 (pow x 2))
(pow x 2)
(+ 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)
(* -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 (pow (sqrt 841/108) 2))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* -841/108 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 (pow (sqrt 841/108) 2)))
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x)))))
(* -1 (* x (sqrt 841/108)))
(* -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
8.0ms	x	@	0	((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* 707281/11664 x)) (sqrt x)) 4/29) (sqrt (* 707281/11664 x)) (* 707281/11664 x) (sqrt x) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt (* (* x x) 841/108)) (* (* x x) 841/108) (* x 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) (sqrt 841/108) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* -707281/11664 (* x x)))
5.0ms	x	@	inf	((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* 707281/11664 x)) (sqrt x)) 4/29) (sqrt (* 707281/11664 x)) (* 707281/11664 x) (sqrt x) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt (* (* x x) 841/108)) (* (* x x) 841/108) (* x 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) (sqrt 841/108) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* -707281/11664 (* x x)))
4.0ms	x	@	-inf	((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* 707281/11664 x)) (sqrt x)) 4/29) (sqrt (* 707281/11664 x)) (* 707281/11664 x) (sqrt x) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt (* (* x x) 841/108)) (* (* x x) 841/108) (* x 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) (sqrt 841/108) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* -707281/11664 (* x x)))

Time

Variable

Point

Expression

8.0ms

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

5.0ms

inf

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

4.0ms

-inf

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

simplify399.0ms (8.4%)

Memory

18.9MiB live, 94.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	318
1	427	306
2	1174	297
3	3217	292
4	7952	292
0	8266	277

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 41

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 841/108 x))
(* 841/108 (sqrt x))
(* 707281/11664 x)
(sqrt x)
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* x (sqrt 841/108))
(* 841/108 (pow x 2))
(pow x 2)
(+ 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)
(* -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 (pow (sqrt 841/108) 2))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* -841/108 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 (pow (sqrt 841/108) 2)))
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x)))))
(* -1 (* x (sqrt 841/108)))
(* -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 (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 (* x (pow (sqrt 841/108) 2)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (sqrt 841/108))
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
(* 841/108 (pow x 2))
(.f64 (.f64 x x) #s(literal 841/108 binary64))
(pow x 2)
(*.f64 x 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)
(* -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 #s(literal -707281/11664 binary64) x) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (pow (sqrt 841/108) 2))
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* -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)
(/ -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 (pow (sqrt 841/108) 2)))
(*.f64 #s(literal -841/108 binary64) x)
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (sqrt 841/108)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 841/108 binary64)))
(* -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 (/.f64 #s(literal -1728/707281 binary64) x) #s(literal 4/29 binary64)) 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)))

rewrite445.0ms (9.3%)

Memory

-9.0MiB live, 237.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	104
0	49	77
1	165	76
2	1121	73
0	9786	73

Stop Event

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

Counts

17 → 1 899

Calls

Call 1

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

Outputs
(.f64 (/.f64 (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 -707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)))) (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(.f64 (/.f64 (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 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 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 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal 16/841 binary64)) (-.f64 (.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 (/.f64 (fma.f64 #s(literal -707281/11664 binary64) (.f64 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 (*.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 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)) (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 (-.f64 (.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)) (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)) (fma.f64 #s(literal -841/108 binary64) x #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 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #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 #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 (pow.f64 (.f64 #s(literal -841/108 binary64) x) #s(literal 3 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 (pow.f64 (.f64 #s(literal -841/108 binary64) x) #s(literal 3 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))))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal -841/108 binary64) x) #s(literal 3 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 (pow.f64 (.f64 #s(literal -841/108 binary64) x) #s(literal 3 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 #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 #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))))) (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 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 841/729 binary64) (.f64 x x)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 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 3 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 841/729 binary64) (.f64 x x)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)))))) (.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -841/108 binary64) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 841/729 binary64) (.f64 x x)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -841/108 binary64) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 841/729 binary64) (.f64 x x)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))))))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
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(+.f64 (.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)))) (.f64 (.f64 (.f64 x x) (/.f64 #s(literal -707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)))))
(+.f64 (.f64 (.f64 #s(literal -841/108 binary64) x) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)))) (.f64 #s(literal 4/29 binary64) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)))))
(+.f64 (.f64 #s(literal 4/29 binary64) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)))) (.f64 (.f64 #s(literal -841/108 binary64) x) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)))))
(+.f64 (.f64 (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal 16/841 binary64)) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (.f64 (.f64 #s(literal 29/27 binary64) x) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))))
(+.f64 (.f64 (fma.f64 #s(literal 29/27 binary64) x (.f64 #s(literal -707281/11664 binary64) (.f64 x x))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (.f64 #s(literal 16/841 binary64) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))))
(+.f64 (.f64 #s(literal 16/841 binary64) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (.f64 (fma.f64 #s(literal 29/27 binary64) x (.f64 #s(literal -707281/11664 binary64) (.f64 x x))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64))) (/.f64 (pow.f64 (.f64 #s(literal -841/108 binary64) x) #s(literal 3 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 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64))) (/.f64 #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 (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal -16/841 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 3 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 841/729 binary64) (.f64 x x)) (pow.f64 (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) (.f64 x x)) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64))) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -841/108 binary64) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 841/729 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)))))))
(+.f64 (.f64 (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64))) (/.f64 (.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (pow.f64 (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) (.f64 x x)) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64))) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -707281/11664 binary64)) (.f64 x x)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64))) (.f64 (.f64 x x) (/.f64 #s(literal -707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))) (.f64 (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal -16/841 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 -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64))) (.f64 (.f64 x x) (/.f64 #s(literal -707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))))
(+.f64 (.f64 (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64))) (.f64 #s(literal -841/108 binary64) x)) (.f64 (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))) #s(literal 4/29 binary64)))
(+.f64 (.f64 (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64))) #s(literal 4/29 binary64)) (.f64 (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64))) (*.f64 #s(literal -841/108 binary64) x)))
(+.f64 (.f64 (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (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) #s(literal 16/841 binary64))) (.f64 (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (.f64 #s(literal 29/27 binary64) x)))
(+.f64 (.f64 (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 #s(literal 29/27 binary64) x (.f64 #s(literal -707281/11664 binary64) (.f64 x x)))) (.f64 (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) #s(literal 16/841 binary64)))
(+.f64 (.f64 (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) #s(literal 16/841 binary64)) (.f64 (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 #s(literal 29/27 binary64) x (.f64 #s(literal -707281/11664 binary64) (.f64 x x)))))
(.f64 (neg.f64 (.f64 (.f64 #s(literal -841/108 binary64) x) (sqrt.f64 x))) (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)))
(.f64 (neg.f64 (.f64 (.f64 #s(literal -841/108 binary64) x) (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)))) (sqrt.f64 x))
(.f64 (neg.f64 (.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 841/108 binary64))) x)
(.f64 (neg.f64 (.f64 (.f64 #s(literal -841/108 binary64) x) (sqrt.f64 #s(literal 841/108 binary64)))) (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x))
(.f64 (neg.f64 (.f64 (.f64 #s(literal -841/108 binary64) x) (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x))) (sqrt.f64 #s(literal 841/108 binary64)))
(.f64 (.f64 (.f64 #s(literal -841/108 binary64) x) (sqrt.f64 x)) (.f64 #s(literal -841/108 binary64) (sqrt.f64 x)))
(.f64 (.f64 (.f64 #s(literal -841/108 binary64) x) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)))
(.f64 (.f64 (.f64 #s(literal -841/108 binary64) x) (.f64 (sqrt.f64 x) #s(literal 841/108 binary64))) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 (.f64 #s(literal -841/108 binary64) x) (.f64 (sqrt.f64 x) #s(literal 841/108 binary64))) (sqrt.f64 x))
(.f64 (.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 841/108 binary64)) x)
(.f64 (.f64 (.f64 #s(literal -841/108 binary64) x) (sqrt.f64 #s(literal 841/108 binary64))) (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x))
(.f64 (.f64 (.f64 #s(literal -841/108 binary64) x) (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))))
(.f64 (.f64 (.f64 #s(literal -841/108 binary64) x) (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) (sqrt.f64 #s(literal 841/108 binary64)))
(.f64 #s(literal -841/108 binary64) (.f64 (*.f64 x x) #s(literal 841/108 binary64)))
(.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (.f64 #s(literal -841/108 binary64) x)))
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (.f64 #s(literal -841/108 binary64) x)))
(.f64 (.f64 #s(literal -841/108 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (.f64 #s(literal -841/108 binary64) x)))
(.f64 (.f64 #s(literal -841/108 binary64) x) (*.f64 #s(literal -841/108 binary64) x))
(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
(.f64 (sqrt.f64 #s(literal 841/108 binary64)) (neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (.f64 #s(literal -841/108 binary64) x))))
(.f64 (sqrt.f64 #s(literal 841/108 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (.f64 #s(literal -841/108 binary64) x)))
(.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (neg.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) (.f64 #s(literal -841/108 binary64) x))))
(.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (.f64 (sqrt.f64 #s(literal 841/108 binary64)) (.f64 #s(literal -841/108 binary64) x)))
(.f64 (.f64 (*.f64 x x) #s(literal 841/108 binary64)) #s(literal -841/108 binary64))
(.f64 (.f64 (*.f64 x x) #s(literal 841/108 binary64)) #s(literal 841/108 binary64))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(.f64 (.f64 x x) #s(literal 707281/11664 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 (sqrt.f64 x) (.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 (sqrt.f64 x) #s(literal 841/108 binary64)) (.f64 (sqrt.f64 x) (.f64 #s(literal -841/108 binary64) x)))
(.f64 (.f64 #s(literal -707281/11664 binary64) x) x)
(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
(.f64 #s(literal 841/108 binary64) (.f64 (*.f64 x 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 (neg.f64 (.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 841/108 binary64))))
(.f64 x (.f64 #s(literal 841/108 binary64) (*.f64 #s(literal -841/108 binary64) x)))
(.f64 x (.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 841/108 binary64)))
(.f64 x (.f64 #s(literal -707281/11664 binary64) x))
(pow.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 2 binary64))
(neg.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)))
(fabs.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -841/108 binary64) x)) #s(literal 2 binary64)))

eval248.0ms (5.2%)

Memory: -16.9MiB live, 172.9MiB allocated
Compiler: Compiled 23 346 to 2 094 computations (91% saved)

prune34.0ms (0.7%)

Memory

5.7MiB live, 45.3MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	779	4	783
Fresh	2	0	2
Picked	3	2	5
Done	0	0	0
Total	784	6	790

Accuracy

100.0%

Counts

790 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
▶	98.2%	(fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	71.4%	(/.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)))
✓	49.0%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
▶	52.6%	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))

Compiler

Compiled 65 to 54 computations (16.9% saved)

simplify35.0ms (0.7%)

Memory

14.3MiB live, 51.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	111
0	44	111
1	72	111
2	157	108
3	400	108
4	811	107
5	1066	107
6	1152	103
7	1179	103
8	1193	103
9	1206	103
10	1207	103
0	1207	101

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize89.0ms (1.9%)

Memory

7.9MiB live, 165.2MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 #s(literal 841/108 binary64))
accuracy	0.14453125	(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
accuracy	0.203125	(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
accuracy	0.1796875	(fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
accuracy	0.1796875	(*.f64 #s(literal -707281/11664 binary64) x)
accuracy	0.3515405942113228	(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))
accuracy	0.43449908151601424	(/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0546875	(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
accuracy	0.06640625	(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
accuracy	18.314109572874592	(/.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)))
accuracy	0.1328125	(*.f64 #s(literal 841/108 binary64) x)
accuracy	46.190159808286175	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))

Samples

70.0ms	254×	0	valid
1.0ms	1×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 232 to 59 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

const: 23.0ms (40.3% of total)

ival-mult: 17.0ms (29.8% of total)

ival-div: 7.0ms (12.3% of total)

ival-add: 6.0ms (10.5% of total)

ival-sqrt: 3.0ms (5.3% of total)

adjust: 0.0ms (0% of total)

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

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

series145.0ms (3%)

Memory

-31.5MiB live, 13.2MiB allocated

Counts

14 → 50

Calls

Call 1

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

Outputs
4/29
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* 841/108 x)
(+ 4/29 (* 841/108 x))
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(pow x 2)
(+ 4/29 (* -841/108 x))
(+ 4/29 (* x (+ 841/108 (* 20511149/23328 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/23328 (* 12200509765705829/4353564672 (pow x 2)))))))
(* -707281/11664 x)
(* -29/4 x)
(* x (- (* 707281/1728 x) 29/4))
(* x (- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4))
(* x (- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4))
-4/29
(- (* -841/108 x) 4/29)
(* x (sqrt 841/108))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(* x (pow (sqrt 841/108) 2))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* 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))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* -1 (/ (+ 4/29 (* 1492992/17249876309 (/ 1 (pow x 2)))) x))))
(* x (- (+ 841/108 (* -1 (/ (+ 1492992/17249876309 (* 278628139008/10260628712958602189 (/ 1 (pow x 2)))) (pow x 3)))) (* 4/29 (/ 1 x))))
-108/841
(- (* 46656/20511149 (/ 1 x)) 108/841)
(- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2))))
(- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2))))
(* -1 (* x (+ 841/108 (* 4/29 (/ 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 (pow (sqrt 841/108) 2)))
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 4/29 (/ 1 x))) 841/108)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1492992/17249876309 (* 278628139008/10260628712958602189 (/ 1 (pow x 2)))) (pow x 2))) 4/29) x)) 841/108)))
(- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841)
(- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841)
(* -1 (* x (- (* -1 (pow (sqrt 841/108) 2)) (* 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))

Calls

3 calls:

Time

Variable

Point

Expression

141.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify289.0ms (6.1%)

Memory

28.5MiB live, 102.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	428
1	566	400
2	1556	382
3	4734	373
0	8250	347

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 50

Calls

Call 1

Inputs
4/29
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* 841/108 x)
(+ 4/29 (* 841/108 x))
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(pow x 2)
(+ 4/29 (* -841/108 x))
(+ 4/29 (* x (+ 841/108 (* 20511149/23328 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/23328 (* 12200509765705829/4353564672 (pow x 2)))))))
(* -707281/11664 x)
(* -29/4 x)
(* x (- (* 707281/1728 x) 29/4))
(* x (- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4))
(* x (- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4))
-4/29
(- (* -841/108 x) 4/29)
(* x (sqrt 841/108))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(* x (pow (sqrt 841/108) 2))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* 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))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* -1 (/ (+ 4/29 (* 1492992/17249876309 (/ 1 (pow x 2)))) x))))
(* x (- (+ 841/108 (* -1 (/ (+ 1492992/17249876309 (* 278628139008/10260628712958602189 (/ 1 (pow x 2)))) (pow x 3)))) (* 4/29 (/ 1 x))))
-108/841
(- (* 46656/20511149 (/ 1 x)) 108/841)
(- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2))))
(- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2))))
(* -1 (* x (+ 841/108 (* 4/29 (/ 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 (pow (sqrt 841/108) 2)))
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 4/29 (/ 1 x))) 841/108)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1492992/17249876309 (* 278628139008/10260628712958602189 (/ 1 (pow x 2)))) (pow x 2))) 4/29) x)) 841/108)))
(- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841)
(- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841)
(* -1 (* x (- (* -1 (pow (sqrt 841/108) 2)) (* 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))

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 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)
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(pow x 2)
(*.f64 x x)
(+ 4/29 (* -841/108 x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* 20511149/23328 x))))
(fma.f64 (fma.f64 #s(literal 20511149/23328 binary64) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/23328 (* 12200509765705829/4353564672 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 12200509765705829/4353564672 binary64) (*.f64 x x) #s(literal 20511149/23328 binary64)) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(* -707281/11664 x)
(*.f64 #s(literal -707281/11664 binary64) x)
(* -29/4 x)
(*.f64 #s(literal -29/4 binary64) x)
(* x (- (* 707281/1728 x) 29/4))
(.f64 (-.f64 (.f64 #s(literal 707281/1728 binary64) x) #s(literal 29/4 binary64)) x)
(* x (- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4))
(.f64 (-.f64 (.f64 (fma.f64 #s(literal -17249876309/746496 binary64) x #s(literal 707281/1728 binary64)) x) #s(literal 29/4 binary64)) x)
(* x (- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4))
(.f64 (-.f64 (.f64 (fma.f64 (-.f64 (*.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
#s(literal -4/29 binary64)
(- (* -841/108 x) 4/29)
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
(* x (sqrt 841/108))
(*.f64 (sqrt.f64 #s(literal 841/108 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))
(* x (pow (sqrt 841/108) 2))
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 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)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* x (+ 841/108 (* -1 (/ (+ 4/29 (* 1492992/17249876309 (/ 1 (pow x 2)))) x))))
(fma.f64 #s(literal 841/108 binary64) x (-.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 1492992/17249876309 binary64) (*.f64 x x))))
(* x (- (+ 841/108 (* -1 (/ (+ 1492992/17249876309 (* 278628139008/10260628712958602189 (/ 1 (pow x 2)))) (pow x 3)))) (* 4/29 (/ 1 x))))
(fma.f64 (-.f64 (-.f64 #s(literal 841/108 binary64) (/.f64 #s(literal 1492992/17249876309 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 278628139008/10260628712958602189 binary64) (pow.f64 x #s(literal 5 binary64)))) x #s(literal -4/29 binary64))
-108/841
#s(literal -108/841 binary64)
(- (* 46656/20511149 (/ 1 x)) 108/841)
(-.f64 (/.f64 #s(literal 46656/20511149 binary64) x) #s(literal 108/841 binary64))
(- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2))))
(-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal 46656/20511149 binary64))) x) #s(literal 108/841 binary64))
(- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2))))
(-.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 (* x (+ 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 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 (pow (sqrt 841/108) 2)))
(*.f64 #s(literal -841/108 binary64) x)
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -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)))
(* -1 (* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 4/29 (/ 1 x))) 841/108)))
(neg.f64 (fma.f64 x (-.f64 (/.f64 #s(literal 1492992/17249876309 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1492992/17249876309 (* 278628139008/10260628712958602189 (/ 1 (pow x 2)))) (pow x 2))) 4/29) x)) 841/108)))
(.f64 (neg.f64 x) (-.f64 (-.f64 (/.f64 #s(literal 278628139008/10260628712958602189 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 1492992/17249876309 binary64) (.f64 x x))) x)) #s(literal 841/108 binary64)))
(- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841)
(-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal 46656/20511149 binary64))) x) #s(literal 108/841 binary64))
(- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) 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 (* x (- (* -1 (pow (sqrt 841/108) 2)) (* 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 (/.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)

rewrite187.0ms (3.9%)

Memory

2.1MiB live, 289.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	91
0	44	79
1	159	77
2	1091	73
0	9175	73

Stop Event

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

Counts

14 → 747

Calls

Call 1

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

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

eval66.0ms (1.4%)

Memory: -1.2MiB live, 114.3MiB allocated
Compiler: Compiled 14 699 to 1 569 computations (89.3% saved)

prune13.0ms (0.3%)

Memory

-3.8MiB live, 34.1MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	503	6	509
Fresh	0	0	0
Picked	2	2	4
Done	0	2	2
Total	505	10	515

Accuracy

100.0%

Counts

515 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
	51.7%	(fma.f64 (.f64 #s(literal -707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) #s(approx (/ 16/841 (+ ( -841/108 x) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x)))
▶	97.9%	(fma.f64 (.f64 #s(literal -707281/11664 binary64) x) #s(approx (/ x (+ ( -841/108 x) -4/29)) #s(literal -108/841 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	71.4%	(/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
▶	24.0%	(/.f64 (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal 16/841 binary64)) #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
✓	49.0%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
▶	52.4%	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64))))
✓	52.6%	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))
▶	14.2%	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x))))

Compiler

Compiled 246 to 199 computations (19.1% saved)

simplify38.0ms (0.8%)

Memory

-4.4MiB live, 34.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	183
0	55	183
1	89	183
2	189	175
3	467	175
4	872	173
5	1165	173
6	1287	165
7	1324	165
8	1358	165
9	1378	165
10	1379	165
0	1379	161

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize107.0ms (2.2%)

Memory

-1.0MiB live, 196.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 #s(literal 841/108 binary64))
accuracy	0.203125	(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
accuracy	0.28125	(.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)))
accuracy	46.190159808286175	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64))))
accuracy	0.05859375	(fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))
accuracy	0.06640625	(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
accuracy	0.1796875	(*.f64 #s(literal -707281/11664 binary64) x)
accuracy	18.314109572874592	(/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy	0.0546875	(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
accuracy	0.1328125	(*.f64 #s(literal -841/108 binary64) x)
accuracy	18.314109572874592	(/.f64 (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal 16/841 binary64)) #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
accuracy	30.22217103590933	#s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.20482255376864533	(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
accuracy	29.7126979837078	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x))))
accuracy	32.20330218383817	(sqrt.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))
accuracy	0.1796875	(fma.f64 (.f64 #s(literal -707281/11664 binary64) x) #s(approx (/ x (+ ( -841/108 x) -4/29)) #s(literal -108/841 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
accuracy	0.1796875	(*.f64 #s(literal -707281/11664 binary64) x)
accuracy	0.43449908151601424	(/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy	30.244613215938582	#s(approx (/ x (+ (* -841/108 x) -4/29)) #s(literal -108/841 binary64))

Samples

80.0ms	254×	0	valid
1.0ms	1×	2	valid
1.0ms	1×	1	valid

Compiler

Compiled 355 to 76 computations (78.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

const: 23.0ms (37.8% of total)

ival-mult: 16.0ms (26.3% of total)

ival-sqrt: 8.0ms (13.2% of total)

ival-div: 6.0ms (9.9% of total)

ival-add: 6.0ms (9.9% 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

12.2MiB live, 12.2MiB allocated

Counts

19 → 47

Calls

Call 1

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

Outputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (+ 841/108 (* 20511149/23328 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/23328 (* 12200509765705829/4353564672 (pow x 2)))))))
(* -707281/11664 x)
(* -29/4 x)
(* x (- (* 707281/1728 x) 29/4))
(* x (- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4))
(* x (- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* 841/108 x)
(* 707281/11664 (pow x 2))
(pow x 2)
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 4/29 (* -841/108 x))
(* x (pow (sqrt 841/108) 2))
(* x (sqrt 841/108))
(* -841/108 x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* -1 (/ (+ 4/29 (* 1492992/17249876309 (/ 1 (pow x 2)))) x))))
(* x (- (+ 841/108 (* -1 (/ (+ 1492992/17249876309 (* 278628139008/10260628712958602189 (/ 1 (pow x 2)))) (pow x 3)))) (* 4/29 (/ 1 x))))
-108/841
(- (* 46656/20511149 (/ 1 x)) 108/841)
(- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2))))
(- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2))))
(/ -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 (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 4/29 (/ 1 x))) 841/108)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1492992/17249876309 (* 278628139008/10260628712958602189 (/ 1 (pow x 2)))) (pow x 2))) 4/29) x)) 841/108)))
(- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841)
(- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) 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 (pow (sqrt 841/108) 2)))
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

simplify130.0ms (2.7%)

Memory

-17.2MiB live, 142.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	396
1	551	389
2	1475	371
3	4573	362
0	8442	339

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 47

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (+ 841/108 (* 20511149/23328 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/23328 (* 12200509765705829/4353564672 (pow x 2)))))))
(* -707281/11664 x)
(* -29/4 x)
(* x (- (* 707281/1728 x) 29/4))
(* x (- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4))
(* x (- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* 841/108 x)
(* 707281/11664 (pow x 2))
(pow x 2)
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 4/29 (* -841/108 x))
(* x (pow (sqrt 841/108) 2))
(* x (sqrt 841/108))
(* -841/108 x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* -1 (/ (+ 4/29 (* 1492992/17249876309 (/ 1 (pow x 2)))) x))))
(* x (- (+ 841/108 (* -1 (/ (+ 1492992/17249876309 (* 278628139008/10260628712958602189 (/ 1 (pow x 2)))) (pow x 3)))) (* 4/29 (/ 1 x))))
-108/841
(- (* 46656/20511149 (/ 1 x)) 108/841)
(- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2))))
(- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2))))
(/ -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 (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 4/29 (/ 1 x))) 841/108)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1492992/17249876309 (* 278628139008/10260628712958602189 (/ 1 (pow x 2)))) (pow x 2))) 4/29) x)) 841/108)))
(- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841)
(- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) 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 (pow (sqrt 841/108) 2)))
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x)))))
(* -1 (* 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))
(+ 4/29 (* x (+ 841/108 (* 20511149/23328 x))))
(fma.f64 (fma.f64 #s(literal 20511149/23328 binary64) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/23328 (* 12200509765705829/4353564672 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 12200509765705829/4353564672 binary64) #s(literal 20511149/23328 binary64)) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(* -707281/11664 x)
(*.f64 #s(literal -707281/11664 binary64) x)
(* -29/4 x)
(*.f64 #s(literal -29/4 binary64) x)
(* x (- (* 707281/1728 x) 29/4))
(.f64 (-.f64 (.f64 #s(literal 707281/1728 binary64) x) #s(literal 29/4 binary64)) x)
(* x (- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4))
(.f64 (-.f64 (.f64 (fma.f64 #s(literal -17249876309/746496 binary64) x #s(literal 707281/1728 binary64)) x) #s(literal 29/4 binary64)) x)
(* x (- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4))
(.f64 (-.f64 (.f64 (fma.f64 (-.f64 (*.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))
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 707281/11664 (pow x 2))
(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
(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))
(* x (pow (sqrt 841/108) 2))
(*.f64 #s(literal 841/108 binary64) x)
(* x (sqrt 841/108))
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
(* -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))
(* x (+ 841/108 (* -1 (/ (+ 4/29 (* 1492992/17249876309 (/ 1 (pow x 2)))) x))))
(fma.f64 (-.f64 #s(literal 841/108 binary64) (/.f64 #s(literal 1492992/17249876309 binary64) (pow.f64 x #s(literal 3 binary64)))) x #s(literal -4/29 binary64))
(* x (- (+ 841/108 (* -1 (/ (+ 1492992/17249876309 (* 278628139008/10260628712958602189 (/ 1 (pow x 2)))) (pow x 3)))) (* 4/29 (/ 1 x))))
(fma.f64 (-.f64 (-.f64 #s(literal 841/108 binary64) (/.f64 #s(literal 1492992/17249876309 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 278628139008/10260628712958602189 binary64) (pow.f64 x #s(literal 5 binary64)))) x #s(literal -4/29 binary64))
-108/841
#s(literal -108/841 binary64)
(- (* 46656/20511149 (/ 1 x)) 108/841)
(-.f64 (/.f64 #s(literal 46656/20511149 binary64) x) #s(literal 108/841 binary64))
(- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2))))
(-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal 46656/20511149 binary64))) x) #s(literal 108/841 binary64))
(- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2))))
(-.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)
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 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 #s(literal -707281/11664 binary64) x) x)
(* (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)
(* -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)))
(* -1 (* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 4/29 (/ 1 x))) 841/108)))
(neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1492992/17249876309 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1492992/17249876309 (* 278628139008/10260628712958602189 (/ 1 (pow x 2)))) (pow x 2))) 4/29) x)) 841/108)))
(.f64 (neg.f64 x) (-.f64 (-.f64 (/.f64 #s(literal 278628139008/10260628712958602189 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 1492992/17249876309 binary64) (.f64 x x))) x)) #s(literal 841/108 binary64)))
(- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841)
(-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal 46656/20511149 binary64))) x) #s(literal 108/841 binary64))
(- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) 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)
(* -1 (* x (pow (sqrt 841/108) 2)))
(*.f64 #s(literal -841/108 binary64) x)
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))

rewrite183.0ms (3.8%)

Memory

20.6MiB live, 222.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	154
0	55	155
1	186	131
2	1043	117
0	10311	117

Stop Event

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

Counts

19 → 781

Calls

Call 1

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

Outputs
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(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) (sqrt.f64 (*.f64 (pow.f64 #s(literal 841/108 binary64) #s(literal 3/2 binary64)) x)))
(.f64 (sqrt.f64 #s(literal -841/108 binary64)) (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 #s(literal 841/108 binary64) #s(literal 3/2 binary64)) x) x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (pow.f64 #s(literal 841/108 binary64) #s(literal 3/2 binary64)) x) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 #s(literal 841/108 binary64) #s(literal 3/2 binary64)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 #s(literal 841/108 binary64) #s(literal 3/2 binary64)) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(literal -841/108 binary64) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x))
(.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x))
(.f64 (sqrt.f64 (.f64 #s(literal 841/108 binary64) x)) (neg.f64 (sqrt.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 (pow.f64 #s(literal 841/108 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 841/108 binary64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)))
(.f64 (.f64 (pow.f64 #s(literal 841/108 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)) (.f64 (.f64 (pow.f64 #s(literal 841/108 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)) (sqrt.f64 #s(literal 841/108 binary64))))
(.f64 (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (*.f64 #s(literal 841/108 binary64) x)) (sqrt.f64 #s(literal 841/108 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)))
(.f64 (sqrt.f64 #s(literal 841/108 binary64)) (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x))
(.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal -841/108 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (pow.f64 #s(literal -841/108 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)))
(*.f64 #s(literal 841/108 binary64) x)
(*.f64 #s(literal -841/108 binary64) x)
(*.f64 x #s(literal 841/108 binary64))
(*.f64 x #s(literal -841/108 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 841/108 binary64) x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal 841/108 binary64) x))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))
(fabs.f64 (*.f64 #s(literal 841/108 binary64) x))
(exp.f64 (fma.f64 (log.f64 #s(literal 841/108 binary64)) #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 841/108 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (.f64 (.f64 x x) #s(literal 841/108 binary64))) #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 841/108 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 #s(literal 841/108 binary64) x)))
(+.f64 (cosh.f64 (log.f64 (.f64 #s(literal 841/108 binary64) x))) (sinh.f64 (log.f64 (.f64 #s(literal 841/108 binary64) x))))

eval255.0ms (5.3%)

Memory: -6.9MiB live, 104.5MiB allocated
Compiler: Compiled 16 551 to 1 565 computations (90.5% saved)

prune18.0ms (0.4%)

Memory

-2.7MiB live, 42.0MiB allocated

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	547	4	551
Fresh	0	1	1
Picked	3	2	5
Done	0	4	4
Total	550	11	561

Accuracy

100.0%

Counts

561 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
	98.0%	(fma.f64 (.f64 #s(approx (/ x (+ ( -841/108 x) -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))))
	51.7%	(fma.f64 (.f64 #s(literal -707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) #s(approx (/ 16/841 (+ ( -841/108 x) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x)))
	52.1%	(fma.f64 (.f64 #s(literal -707281/11664 binary64) x) #s(approx (/ x (+ ( -841/108 x) -4/29)) #s(literal -108/841 binary64)) #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x)))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
	24.1%	(/.f64 #s(approx (+ (* -707281/11664 (* x x)) 16/841) (.f64 (.f64 #s(literal -707281/11664 binary64) x) x)) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
✓	49.0%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
✓	52.4%	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64))))
✓	52.6%	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))
	14.2%	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt.f64 (.f64 (.f64 (*.f64 x x) #s(literal 841/108 binary64)) #s(literal 841/108 binary64))))
✓	14.2%	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x))))

Compiler

Compiled 522 to 254 computations (51.3% saved)

regimes22.0ms (0.5%)

Memory

-2.5MiB live, 35.1MiB allocated

Counts

22 → 1

Calls

Call 1

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

Calls

3 calls:

8.0ms	x
6.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
6.0ms	(+.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

11.4MiB live, 11.4MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 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 (+ (* (sqrt (* (* x x) 841/108)) (sqrt 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
98.2%	3	`x`
98.2%	3	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
98.2%	3	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`

Compiler

Compiled 15 to 15 computations (0% saved)

regimes4.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB 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:

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

Results

Accuracy	Segments	Branch
49.0%	1	`x`
49.0%	1	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
49.0%	1	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.9556059269359276e-7	215.7323735098823
0.0ms	-0.2622765296898056	-5.44716304123583e-5

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify13.0ms (0.3%)

Memory

-15.8MiB live, 23.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	50
1	43	50
2	75	50
3	128	50
4	184	50
5	200	50
6	202	50

Stop Event

1×

saturated

Calls

Call 1

Inputs

(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 -3602879701896397/18014398509481984 binary64)) #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 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 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))))

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

Outputs
(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 -3602879701896397/18014398509481984 binary64)) #s(approx (+ ( (sqrt (* (* x x) 841/108)) (sqrt 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 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 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 -3602879701896397/18014398509481984 binary64)) (not (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 944473296573929/4722366482869645213696 binary64)))) #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 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 (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

soundness475.0ms (10%)

Memory

-16.2MiB live, 240.9MiB allocated

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
0	148	318
1	427	306
2	1174	297
3	3217	292
4	7952	292
0	8266	277
0	9	10
0	15	10
1	32	10
2	153	10
3	1184	10
0	8573	9

Stop Event

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

Compiler

Compiled 135 to 74 computations (45.2% saved)

preprocess23.0ms (0.5%)

Memory: 1.9MiB live, 38.3MiB allocated
Compiler: Compiled 134 to 86 computations (35.8% 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	31	122
0	49	115
1	72	115
2	150	115
3	329	115
4	597	115
5	733	115
6	757	115
7	761	115
8	771	115
9	782	115
10	783	115
0	783	110

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	31	122
0	49	115
1	72	115
2	150	115
3	329	115
4	597	115
5	733	115
6	757	115
7	761	115
8	771	115
9	782	115
10	783	115
0	783	110

start0.0ms (0%)

analyze0.0ms (0%)

sample764.0ms (16%)

explain133.0ms (2.8%)

preprocess43.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize22.0ms (0.5%)

series2.0ms (0%)

simplify10.0ms (0.2%)

rewrite399.0ms (8.4%)

eval28.0ms (0.6%)

prune7.0ms (0.2%)

simplify23.0ms (0.5%)

localize92.0ms (1.9%)

series17.0ms (0.4%)

simplify399.0ms (8.4%)

rewrite445.0ms (9.3%)

eval248.0ms (5.2%)

prune34.0ms (0.7%)

simplify35.0ms (0.7%)

localize89.0ms (1.9%)

series145.0ms (3%)

simplify289.0ms (6.1%)

rewrite187.0ms (3.9%)

eval66.0ms (1.4%)

prune13.0ms (0.3%)

simplify38.0ms (0.8%)

localize107.0ms (2.2%)

series7.0ms (0.1%)

simplify130.0ms (2.7%)

rewrite183.0ms (3.8%)

eval255.0ms (5.3%)

prune18.0ms (0.4%)

regimes22.0ms (0.5%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

simplify13.0ms (0.3%)

soundness475.0ms (10%)

preprocess23.0ms (0.5%)

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	31	122
0	49	115
1	72	115
2	150	115
3	329	115
4	597	115
5	733	115
6	757	115
7	761	115
8	771	115
9	782	115
10	783	115
0	783	110