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

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 11 computations (0% saved)

sample1.0s (17.4%)

Memory

-11.7MiB live, 1 299.8MiB allocated

Samples

727.0ms	8 253×	0	valid
0.0ms	2×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 448.0ms

ival-div: 322.0ms (71.9% of total)

ival-mult: 62.0ms (13.8% of total)

ival-add: 41.0ms (9.2% of total)

exact: 14.0ms (3.1% of total)

ival-true: 6.0ms (1.3% of total)

ival-assert: 4.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain136.0ms (2.3%)

Memory

6.2MiB live, 149.8MiB 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

62.0ms

512×

valid

Compiler

Compiled 63 to 31 computations (50.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-add: 36.0ms (74% of total)

ival-div: 8.0ms (16.4% of total)

ival-mult: 3.0ms (6.2% of total)

exact: 1.0ms (2.1% of total)

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

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

preprocess14.0ms (0.2%)

Memory

32.6MiB live, 32.6MiB 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

1.7MiB live, 1.7MiB 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)

simplify8.0ms (0.1%)

Memory

-35.4MiB live, 8.8MiB 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)

localize45.0ms (0.8%)

Memory

14.3MiB live, 57.7MiB 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	0.00390625	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
accuracy	0.17578125	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)

Samples

13.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

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

ival-div: 4.0ms (56.4% of total)

ival-mult: 2.0ms (28.2% of total)

ival-add: 1.0ms (14.1% 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

5.6MiB live, 5.6MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

simplify68.0ms (1.1%)

Memory

-30.0MiB live, 31.0MiB 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))

rewrite228.0ms (3.8%)

Memory

30.7MiB live, 352.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 174

Calls

Call 1

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

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

eval49.0ms (0.8%)

Memory: -21.4MiB live, 88.0MiB allocated
Compiler: Compiled 5 013 to 600 computations (88% saved)

prune7.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

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

Accuracy

100.0%

Counts

178 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.2%	(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))
▶	49.9%	(fma.f64 (sqrt.f64 (.f64 x #s(literal 841/108 binary64))) (sqrt.f64 (.f64 x #s(literal 841/108 binary64))) #s(literal 4/29 binary64))
	49.9%	(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))
▶	69.8%	(/.f64 (-.f64 (.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (.f64 (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64))) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)))) (.f64 (-.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)))))
	99.2%	(-.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))))
▶	78.3%	(+.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)))))
▶	56.3%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Compiler

Compiled 224 to 146 computations (34.8% saved)

simplify322.0ms (5.4%)

Memory

-12.4MiB live, 215.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	1	(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
cost-diff	1	(.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64))))
cost-diff	5	(-.f64 (.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (.f64 (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64))) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))))
cost-diff	10	(/.f64 (-.f64 (.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (.f64 (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64))) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)))) (.f64 (-.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)))))
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 #s(literal 841/108 binary64))
cost-diff	0	(sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))
cost-diff	6	(fma.f64 (sqrt.f64 (.f64 x #s(literal 841/108 binary64))) (sqrt.f64 (.f64 x #s(literal 841/108 binary64))) #s(literal 4/29 binary64))
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	190
0	48	159
1	84	153
2	289	152
3	1653	151
4	5759	151
0	8414	138

Stop Event

1×	iter limit
1×	node limit
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 x #s(literal 841/108 binary64))) (sqrt.f64 (.f64 x #s(literal 841/108 binary64))) #s(literal 4/29 binary64))
(sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))
(*.f64 x #s(literal 841/108 binary64))
x
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
#s(literal 16/841 binary64)
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
#s(literal 4/29 binary64)
(*.f64 x #s(literal 841/108 binary64))
x
#s(literal 841/108 binary64)
(/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
#s(literal -707281/11664 binary64)
(*.f64 x x)
(/.f64 (-.f64 (.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (.f64 (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64))) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)))) (.f64 (-.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 (.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (.f64 (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64))) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 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 4/29 binary64) (.f64 x #s(literal 841/108 binary64))) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (-.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))))

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

localize152.0ms (2.5%)

Memory

-3.1MiB live, 146.2MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(*.f64 x #s(literal 841/108 binary64))
accuracy	0.10384750976844201	(pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))
accuracy	0.3430252203666818	(.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64))))
accuracy	8.211511938437221	(/.f64 (-.f64 (.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (.f64 (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64))) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)))) (.f64 (-.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)))))
accuracy	0.07650375976844201	(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
accuracy	0.09765625	(*.f64 x #s(literal 841/108 binary64))
accuracy	0.2826097566042826	(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
accuracy	6.353371648846079	(/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
accuracy	0.06869125976844201	(fma.f64 (sqrt.f64 (.f64 x #s(literal 841/108 binary64))) (sqrt.f64 (.f64 x #s(literal 841/108 binary64))) #s(literal 4/29 binary64))
accuracy	0.09765625	(*.f64 x #s(literal 841/108 binary64))
accuracy	0.26561985672226707	(sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))
accuracy	11.855423171366843	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
accuracy	0.0390625	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))

Samples

46.0ms	128×	0	valid
31.0ms	128×	0	invalid

Compiler

Compiled 196 to 33 computations (83.2% saved)

Precisions

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

ival-div: 23.0ms (37.7% of total)

const: 14.0ms (23% of total)

ival-mult: 12.0ms (19.7% of total)

ival-add: 4.0ms (6.6% of total)

ival-pow2: 3.0ms (4.9% of total)

ival-sub: 2.0ms (3.3% of total)

ival-sqrt: 2.0ms (3.3% of total)

exact: 1.0ms (1.6% of total)

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

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

series18.0ms (0.3%)

Memory

2.8MiB live, 46.4MiB allocated

Counts

14 → 47

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 x #s(literal 841/108 binary64))) (sqrt.f64 (.f64 x #s(literal 841/108 binary64))) #s(literal 4/29 binary64))
(sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))
(*.f64 x #s(literal 841/108 binary64))
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (.f64 #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 (-.f64 (.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (.f64 (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64))) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)))) (.f64 (-.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 (.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (.f64 (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64))) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))))
(.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 -707281/11664 binary64) (.f64 x x))
(pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))

Outputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* (sqrt x) (sqrt 841/108))
(* 841/108 x)
(+ 4/29 (* -841/108 x))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
64/24389
(+ 64/24389 (* -4/27 x))
(+ 64/24389 (* x (- (* -24389/2916 x) 4/27)))
(+ 64/24389 (* x (- (* x (- (* 594823321/1259712 x) 24389/2916)) 4/27)))
(* -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))
(* 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)
(* 594823321/1259712 (pow x 3))
(* (pow x 3) (- 594823321/1259712 (* 24389/2916 (/ 1 x))))
(* (pow x 3) (+ 594823321/1259712 (* -1 (/ (+ 24389/2916 (* 4/27 (/ 1 x))) x))))
(* (pow x 3) (- (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))) (+ (/ 4/27 (pow x 2)) (* 24389/2916 (/ 1 x)))))
(* -4/27 x)
(* x (- (* 64/24389 (/ 1 x)) 4/27))
(* 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 (pow (sqrt -841/108) 2)))
(* -1 (* x (- (pow (sqrt -841/108) 2) (* 4/29 (/ 1 x)))))
(* -1 (* (sqrt x) (* (sqrt -841/108) (sqrt -1))))
(* -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 (* (pow x 3) (- (* 24389/2916 (/ 1 x)) 594823321/1259712)))
(* -1 (* (pow x 3) (- (+ (/ 4/27 (pow x 2)) (* 24389/2916 (/ 1 x))) 594823321/1259712)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 4/27 (* 64/24389 (/ 1 x))) x)) 24389/2916) x)) 594823321/1259712)))
(* -1 (* x (- 4/27 (* 64/24389 (/ 1 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	@	-inf	((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (sqrt (* x 841/108)) (* x 841/108) (+ (/ 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))) (/ (- (* 16/841 (- 4/29 (* x 841/108))) (* (- 4/29 (* x 841/108)) (pow (* x 841/108) 2))) (* (- 4/29 (* x 841/108)) (- 4/29 (* x 841/108)))) (- (* 16/841 (- 4/29 (* x 841/108))) (* (- 4/29 (* x 841/108)) (pow (* x 841/108) 2))) (* 16/841 (- 4/29 (* x 841/108))) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* -707281/11664 (* x x)) (pow (* x 841/108) 2))
5.0ms	x	@	inf	((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (sqrt (* x 841/108)) (* x 841/108) (+ (/ 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))) (/ (- (* 16/841 (- 4/29 (* x 841/108))) (* (- 4/29 (* x 841/108)) (pow (* x 841/108) 2))) (* (- 4/29 (* x 841/108)) (- 4/29 (* x 841/108)))) (- (* 16/841 (- 4/29 (* x 841/108))) (* (- 4/29 (* x 841/108)) (pow (* x 841/108) 2))) (* 16/841 (- 4/29 (* x 841/108))) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* -707281/11664 (* x x)) (pow (* x 841/108) 2))
4.0ms	x	@	0	((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (sqrt (* x 841/108)) (* x 841/108) (+ (/ 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))) (/ (- (* 16/841 (- 4/29 (* x 841/108))) (* (- 4/29 (* x 841/108)) (pow (* x 841/108) 2))) (* (- 4/29 (* x 841/108)) (- 4/29 (* x 841/108)))) (- (* 16/841 (- 4/29 (* x 841/108))) (* (- 4/29 (* x 841/108)) (pow (* x 841/108) 2))) (* 16/841 (- 4/29 (* x 841/108))) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* -707281/11664 (* x x)) (pow (* x 841/108) 2))

Time

Variable

Point

Expression

8.0ms

-inf

((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (sqrt (* x 841/108)) (* x 841/108) (+ (/ 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))) (/ (- (* 16/841 (- 4/29 (* x 841/108))) (* (- 4/29 (* x 841/108)) (pow (* x 841/108) 2))) (* (- 4/29 (* x 841/108)) (- 4/29 (* x 841/108)))) (- (* 16/841 (- 4/29 (* x 841/108))) (* (- 4/29 (* x 841/108)) (pow (* x 841/108) 2))) (* 16/841 (- 4/29 (* x 841/108))) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* -707281/11664 (* x x)) (pow (* x 841/108) 2))

5.0ms

inf

((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (sqrt (* x 841/108)) (* x 841/108) (+ (/ 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))) (/ (- (* 16/841 (- 4/29 (* x 841/108))) (* (- 4/29 (* x 841/108)) (pow (* x 841/108) 2))) (* (- 4/29 (* x 841/108)) (- 4/29 (* x 841/108)))) (- (* 16/841 (- 4/29 (* x 841/108))) (* (- 4/29 (* x 841/108)) (pow (* x 841/108) 2))) (* 16/841 (- 4/29 (* x 841/108))) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* -707281/11664 (* x x)) (pow (* x 841/108) 2))

4.0ms

((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (sqrt (* x 841/108)) (* x 841/108) (+ (/ 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))) (/ (- (* 16/841 (- 4/29 (* x 841/108))) (* (- 4/29 (* x 841/108)) (pow (* x 841/108) 2))) (* (- 4/29 (* x 841/108)) (- 4/29 (* x 841/108)))) (- (* 16/841 (- 4/29 (* x 841/108))) (* (- 4/29 (* x 841/108)) (pow (* x 841/108) 2))) (* 16/841 (- 4/29 (* x 841/108))) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* -707281/11664 (* x x)) (pow (* x 841/108) 2))

simplify346.0ms (5.8%)

Memory

-31.5MiB live, 335.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	418
1	552	401
2	1576	393
3	4981	388
0	8866	371

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 (pow (sqrt 841/108) 2)))
(* (sqrt x) (sqrt 841/108))
(* 841/108 x)
(+ 4/29 (* -841/108 x))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
64/24389
(+ 64/24389 (* -4/27 x))
(+ 64/24389 (* x (- (* -24389/2916 x) 4/27)))
(+ 64/24389 (* x (- (* x (- (* 594823321/1259712 x) 24389/2916)) 4/27)))
(* -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))
(* 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)
(* 594823321/1259712 (pow x 3))
(* (pow x 3) (- 594823321/1259712 (* 24389/2916 (/ 1 x))))
(* (pow x 3) (+ 594823321/1259712 (* -1 (/ (+ 24389/2916 (* 4/27 (/ 1 x))) x))))
(* (pow x 3) (- (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))) (+ (/ 4/27 (pow x 2)) (* 24389/2916 (/ 1 x)))))
(* -4/27 x)
(* x (- (* 64/24389 (/ 1 x)) 4/27))
(* 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 (pow (sqrt -841/108) 2)))
(* -1 (* x (- (pow (sqrt -841/108) 2) (* 4/29 (/ 1 x)))))
(* -1 (* (sqrt x) (* (sqrt -841/108) (sqrt -1))))
(* -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 (* (pow x 3) (- (* 24389/2916 (/ 1 x)) 594823321/1259712)))
(* -1 (* (pow x 3) (- (+ (/ 4/27 (pow x 2)) (* 24389/2916 (/ 1 x))) 594823321/1259712)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 4/27 (* 64/24389 (/ 1 x))) x)) 24389/2916) x)) 594823321/1259712)))
(* -1 (* x (- 4/27 (* 64/24389 (/ 1 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))
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* (sqrt x) (sqrt 841/108))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 841/108 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))
(+ 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))
64/24389
#s(literal 64/24389 binary64)
(+ 64/24389 (* -4/27 x))
(fma.f64 #s(literal -4/27 binary64) x #s(literal 64/24389 binary64))
(+ 64/24389 (* x (- (* -24389/2916 x) 4/27)))
(fma.f64 (-.f64 (*.f64 #s(literal -24389/2916 binary64) x) #s(literal 4/27 binary64)) x #s(literal 64/24389 binary64))
(+ 64/24389 (* x (- (* x (- (* 594823321/1259712 x) 24389/2916)) 4/27)))
(fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 594823321/1259712 binary64) x) #s(literal 24389/2916 binary64)) x) #s(literal 4/27 binary64)) x #s(literal 64/24389 binary64))
(* -20511149/46656 (pow x 2))
(.f64 (.f64 #s(literal -20511149/46656 binary64) x) x)
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656))
(.f64 (-.f64 (.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)
(* 707281/11664 (pow x 2))
(.f64 #s(literal 707281/11664 binary64) (.f64 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 (/.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)
(* 594823321/1259712 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64))
(* (pow x 3) (- 594823321/1259712 (* 24389/2916 (/ 1 x))))
(*.f64 (-.f64 #s(literal 594823321/1259712 binary64) (/.f64 #s(literal 24389/2916 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 594823321/1259712 (* -1 (/ (+ 24389/2916 (* 4/27 (/ 1 x))) x))))
(*.f64 (-.f64 #s(literal 594823321/1259712 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/27 binary64) x) #s(literal 24389/2916 binary64)) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))) (+ (/ 4/27 (pow x 2)) (* 24389/2916 (/ 1 x)))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -4/27 binary64) (/.f64 #s(literal -64/24389 binary64) x)) x) #s(literal 24389/2916 binary64)) x) #s(literal 594823321/1259712 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -4/27 x)
(*.f64 #s(literal -4/27 binary64) x)
(* x (- (* 64/24389 (/ 1 x)) 4/27))
(*.f64 (-.f64 (/.f64 #s(literal 64/24389 binary64) x) #s(literal 4/27 binary64)) x)
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1728/707281 binary64) x) (fma.f64 #s(literal 841/108 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 (+.f64 #s(literal 841/108 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal 1728/707281 binary64)) x) x)) x #s(literal 4/29 binary64))
(* -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 (* (sqrt x) (* (sqrt -841/108) (sqrt -1))))
(.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.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 (/.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 (* (pow x 3) (- (* 24389/2916 (/ 1 x)) 594823321/1259712)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 24389/2916 binary64) x) #s(literal 594823321/1259712 binary64)))
(* -1 (* (pow x 3) (- (+ (/ 4/27 (pow x 2)) (* 24389/2916 (/ 1 x))) 594823321/1259712)))
(*.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/27 binary64) x) #s(literal 24389/2916 binary64)) x) #s(literal 594823321/1259712 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 4/27 (* 64/24389 (/ 1 x))) x)) 24389/2916) x)) 594823321/1259712)))
(*.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 4/27 binary64) (/.f64 #s(literal 64/24389 binary64) x)) x) #s(literal 24389/2916 binary64)) x) #s(literal 594823321/1259712 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- 4/27 (* 64/24389 (/ 1 x)))))
(fma.f64 #s(literal -4/27 binary64) x #s(literal 64/24389 binary64))
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 1728/707281 binary64) x)) x) #s(literal 841/108 binary64)))
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 (+.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal 1728/707281 binary64)) x)) x) #s(literal 841/108 binary64)))

rewrite824.0ms (13.8%)

Memory

26.7MiB live, 582.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	137
0	48	87
1	172	81
2	1231	77
0	8739	76

Stop Event

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

Counts

14 → 2 605

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 x #s(literal 841/108 binary64))) (sqrt.f64 (.f64 x #s(literal 841/108 binary64))) #s(literal 4/29 binary64))
(sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))
(*.f64 x #s(literal 841/108 binary64))
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (.f64 #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 (-.f64 (.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (.f64 (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64))) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)))) (.f64 (-.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 (.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (.f64 (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64))) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))))
(.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 -707281/11664 binary64) (.f64 x x))
(pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))

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

eval257.0ms (4.3%)

Memory: 40.9MiB live, 367.7MiB allocated
Compiler: Compiled 46 199 to 3 740 computations (91.9% saved)

prune31.0ms (0.5%)

Memory

-8.8MiB live, 82.3MiB allocated

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	1 338	6	1 344
Fresh	1	2	3
Picked	2	3	5
Done	0	0	0
Total	1 341	11	1 352

Accuracy

100.0%

Counts

1 352 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.9%	(fma.f64 (sqrt.f64 (.f64 x #s(literal 841/108 binary64))) (sqrt.f64 (.f64 x #s(literal 841/108 binary64))) #s(literal 4/29 binary64))
▶	49.9%	(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
▶	99.6%	(fma.f64 x (pow.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) #s(literal 2 binary64)) #s(literal 4/29 binary64))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
	78.3%	(/.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)) (+.f64 #s(literal -4/29 binary64) (.f64 x #s(literal 841/108 binary64))))
	99.2%	(-.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))))
▶	78.3%	(+.f64 (/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 (* x 841/108)) (.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
	99.5%	(.f64 (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (+.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))))
▶	72.5%	(fabs.f64 (-.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))))
✓	56.3%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
▶	44.6%	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))

Compiler

Compiled 271 to 197 computations (27.3% saved)

simplify113.0ms (1.9%)

Memory

-6.6MiB live, 135.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- 4/29 (* x 841/108)) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))
cost-diff	0	(/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 (* x 841/108)) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)))
cost-diff	1	(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
cost-diff	1	(+.f64 (/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 (* x 841/108)) (.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
cost-diff	0	(*.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
cost-diff	0	(.f64 #s(literal 707281/11664 binary64) (.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))))
cost-diff	0	(-.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
cost-diff	6	(fabs.f64 (-.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))))
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	(*.f64 #s(literal 841/108 binary64) x)
cost-diff	0	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))
cost-diff	0	(sqrt.f64 #s(literal 841/108 binary64))
cost-diff	0	(neg.f64 (sqrt.f64 #s(literal 841/108 binary64)))
cost-diff	0	(fma.f64 x (pow.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) #s(literal 2 binary64)) #s(literal 4/29 binary64))
cost-diff	4	(pow.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	238
0	69	231
1	105	231
2	228	223
3	523	218
4	1031	218
5	2390	218
6	7464	218
0	8069	210

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 x (pow.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) #s(literal 2 binary64)) #s(literal 4/29 binary64))
x
(pow.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) #s(literal 2 binary64))
(neg.f64 (sqrt.f64 #s(literal 841/108 binary64)))
(sqrt.f64 #s(literal 841/108 binary64))
#s(literal 841/108 binary64)
#s(literal 2 binary64)
#s(literal 4/29 binary64)
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 841/108 binary64) x)
#s(literal 841/108 binary64)
x
(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)
(fabs.f64 (-.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))))
(-.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(.f64 #s(literal 707281/11664 binary64) (.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))))
#s(literal 707281/11664 binary64)
(*.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
x
(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(+.f64 (/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 (* x 841/108)) (.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
(/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 (* x 841/108)) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)))
#s(literal 16/841 binary64)
#s(approx (- 4/29 (* x 841/108)) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)
(-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))
(/.f64 #s(literal 4/29 binary64) x)
#s(literal 4/29 binary64)
x
#s(literal 841/108 binary64)
(/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
#s(literal -707281/11664 binary64)
(*.f64 x x)
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
(*.f64 x #s(literal 841/108 binary64))

Outputs
(fma.f64 x (pow.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) #s(literal 2 binary64)) #s(literal 4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
x
(pow.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) #s(literal 2 binary64))
#s(literal 841/108 binary64)
(neg.f64 (sqrt.f64 #s(literal 841/108 binary64)))
(sqrt.f64 #s(literal 841/108 binary64))
#s(literal 841/108 binary64)
#s(literal 2 binary64)
#s(literal 4/29 binary64)
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 841/108 binary64) x)
#s(literal 841/108 binary64)
x
(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)
(fabs.f64 (-.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))))
(fabs.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(-.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(-.f64 (.f64 (.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) x) #s(literal 707281/11664 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(.f64 #s(literal 707281/11664 binary64) (.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))))
(.f64 (.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) x) #s(literal 707281/11664 binary64))
#s(literal 707281/11664 binary64)
(*.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) x)
x
(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(+.f64 (/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 (* x 841/108)) (.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 ( x 841/108)) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))))
(/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 (* x 841/108)) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)))
#s(literal 16/841 binary64)
#s(approx (- 4/29 (* x 841/108)) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)
(-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))
(/.f64 #s(literal 4/29 binary64) x)
#s(literal 4/29 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 (.f64 (/.f64 #s(literal -707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x) x)
(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
#s(literal -707281/11664 binary64)
(*.f64 x x)
(-.f64 #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))
(*.f64 x #s(literal 841/108 binary64))
(*.f64 #s(literal 841/108 binary64) x)

localize123.0ms (2.1%)

Memory

-13.4MiB live, 271.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.07650375976844201	(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
accuracy	0.09765625	(*.f64 x #s(literal 841/108 binary64))
accuracy	0.2826097566042826	(/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 (* x 841/108)) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)))
accuracy	6.353371648846079	(/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
accuracy	0.08822250976844201	(.f64 #s(literal 707281/11664 binary64) (.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))))
accuracy	0.109375	(*.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
accuracy	0.2982347566042826	(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
accuracy	0.3046655942113228	(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0625	(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
accuracy	0.0703125	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	0.3007589337534543	(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x))
accuracy	0.09765625	(*.f64 #s(literal 841/108 binary64) x)
accuracy	19.566359377766616	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))
accuracy	0.0	(sqrt.f64 #s(literal 841/108 binary64))
accuracy	0.0	(neg.f64 (sqrt.f64 #s(literal 841/108 binary64)))
accuracy	0.0390625	(fma.f64 x (pow.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) #s(literal 2 binary64)) #s(literal 4/29 binary64))
accuracy	0.5	(pow.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) #s(literal 2 binary64))

Samples

48.0ms	124×	0	valid
45.0ms	128×	0	invalid
2.0ms	4×	1	valid

Compiler

Compiled 223 to 40 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-mult: 19.0ms (25.7% of total)

ival-div: 16.0ms (21.7% of total)

const: 16.0ms (21.7% of total)

ival-sqrt: 7.0ms (9.5% of total)

ival-add: 6.0ms (8.1% of total)

ival-sub: 5.0ms (6.8% of total)

ival-pow2: 3.0ms (4.1% of total)

ival-fabs: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory

23.0MiB live, 23.0MiB allocated

Counts

23 → 82

Calls

Call 1

Inputs
(pow.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) #s(literal 2 binary64))
(fma.f64 x (pow.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) #s(literal 2 binary64)) #s(literal 4/29 binary64))
(neg.f64 (sqrt.f64 #s(literal 841/108 binary64)))
(sqrt.f64 #s(literal 841/108 binary64))
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 841/108 binary64) x)
(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)
(fabs.f64 (-.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))))
(-.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(.f64 #s(literal 707281/11664 binary64) (.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))))
(*.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(+.f64 (/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 (* x 841/108)) (.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
(/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 (* x 841/108)) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)))
#s(approx (- 4/29 (* x 841/108)) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))
(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
(*.f64 x #s(literal 841/108 binary64))
(.f64 #s(literal -707281/11664 binary64) (.f64 x x))

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

5.0ms

((pow (neg (sqrt 841/108)) 2) (+ (* x (pow (neg (sqrt 841/108)) 2)) 4/29) (neg (sqrt 841/108)) (sqrt 841/108) (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (* 841/108 x) (+ (* (sqrt (* 707281/11664 x)) (sqrt x)) 4/29) (sqrt (* 707281/11664 x)) (* 707281/11664 x) (sqrt x) (fabs (- (* 707281/11664 (* x (/ x (+ (* x 841/108) 4/29)))) (/ 16/841 (+ (* x 841/108) 4/29)))) (- (* 707281/11664 (* x (/ x (+ (* x 841/108) 4/29)))) (/ 16/841 (+ (* x 841/108) 4/29))) (* 707281/11664 (* x (/ x (+ (* x 841/108) 4/29)))) (* x (/ x (+ (* x 841/108) 4/29))) (+ (/ 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))) (- 4/29 (* x 841/108)) (/ x (+ (* x 841/108) 4/29)) (/ 16/841 (+ (* x 841/108) 4/29)) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* x 841/108) (* -707281/11664 (* x x)))

4.0ms

-inf

((pow (neg (sqrt 841/108)) 2) (+ (* x (pow (neg (sqrt 841/108)) 2)) 4/29) (neg (sqrt 841/108)) (sqrt 841/108) (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (* 841/108 x) (+ (* (sqrt (* 707281/11664 x)) (sqrt x)) 4/29) (sqrt (* 707281/11664 x)) (* 707281/11664 x) (sqrt x) (fabs (- (* 707281/11664 (* x (/ x (+ (* x 841/108) 4/29)))) (/ 16/841 (+ (* x 841/108) 4/29)))) (- (* 707281/11664 (* x (/ x (+ (* x 841/108) 4/29)))) (/ 16/841 (+ (* x 841/108) 4/29))) (* 707281/11664 (* x (/ x (+ (* x 841/108) 4/29)))) (* x (/ x (+ (* x 841/108) 4/29))) (+ (/ 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))) (- 4/29 (* x 841/108)) (/ x (+ (* x 841/108) 4/29)) (/ 16/841 (+ (* x 841/108) 4/29)) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* x 841/108) (* -707281/11664 (* x x)))

3.0ms

inf

((pow (neg (sqrt 841/108)) 2) (+ (* x (pow (neg (sqrt 841/108)) 2)) 4/29) (neg (sqrt 841/108)) (sqrt 841/108) (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (* 841/108 x) (+ (* (sqrt (* 707281/11664 x)) (sqrt x)) 4/29) (sqrt (* 707281/11664 x)) (* 707281/11664 x) (sqrt x) (fabs (- (* 707281/11664 (* x (/ x (+ (* x 841/108) 4/29)))) (/ 16/841 (+ (* x 841/108) 4/29)))) (- (* 707281/11664 (* x (/ x (+ (* x 841/108) 4/29)))) (/ 16/841 (+ (* x 841/108) 4/29))) (* 707281/11664 (* x (/ x (+ (* x 841/108) 4/29)))) (* x (/ x (+ (* x 841/108) 4/29))) (+ (/ 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))) (- 4/29 (* x 841/108)) (/ x (+ (* x 841/108) 4/29)) (/ 16/841 (+ (* x 841/108) 4/29)) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* x 841/108) (* -707281/11664 (* x x)))

simplify200.0ms (3.4%)

Memory

3.2MiB live, 188.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	307	825
1	916	766
2	2367	734
3	6506	733
0	8092	691

Stop Event

1×	iter limit
1×	node limit

Counts

82 → 82

Calls

Call 1

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

rewrite86.0ms (1.4%)

Memory

10.5MiB live, 72.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	197
0	69	190
1	223	174
0	1552	173

Stop Event

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

Counts

23 → 253

Calls

Call 1

Inputs
(pow.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) #s(literal 2 binary64))
(fma.f64 x (pow.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) #s(literal 2 binary64)) #s(literal 4/29 binary64))
(neg.f64 (sqrt.f64 #s(literal 841/108 binary64)))
(sqrt.f64 #s(literal 841/108 binary64))
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 841/108 binary64) x)
(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)
(fabs.f64 (-.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))))
(-.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(.f64 #s(literal 707281/11664 binary64) (.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))))
(*.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(+.f64 (/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 (* x 841/108)) (.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
(/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 (* x 841/108)) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)))
#s(approx (- 4/29 (* x 841/108)) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))
(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
(*.f64 x #s(literal 841/108 binary64))
(.f64 #s(literal -707281/11664 binary64) (.f64 x x))

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

eval165.0ms (2.8%)

Memory: -23.8MiB live, 64.7MiB allocated
Compiler: Compiled 8 054 to 1 133 computations (85.9% saved)

prune8.0ms (0.1%)

Memory

27.9MiB live, 27.9MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	298	4	302
Fresh	2	1	3
Picked	4	1	5
Done	1	2	3
Total	305	8	313

Accuracy

100.0%

Counts

313 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) (sqrt.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))
▶	78.3%	(/.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)) (+.f64 #s(literal -4/29 binary64) (.f64 x #s(literal 841/108 binary64))))
▶	56.4%	(+.f64 (/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 (* x 841/108)) (.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))) #s(approx (/ ( -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (.f64 (.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x) x)))
✓	56.3%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
▶	19.3%	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (.f64 (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x)))
✓	44.6%	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))
▶	11.3%	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (sqrt.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64))))

Compiler

Compiled 218 to 155 computations (28.9% saved)

simplify48.0ms (0.8%)

Memory

-24.0MiB live, 21.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)
cost-diff	0	#s(approx (- 4/29 (* x 841/108)) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))
cost-diff	0	(/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 (* x 841/108)) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)))
cost-diff	0	(+.f64 (/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 (* x 841/108)) (.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))) #s(approx (/ ( -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (.f64 (.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x) 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)) (+.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	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64))
cost-diff	0	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (.f64 (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x)))
cost-diff	4	(.f64 (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 707281/11664 binary64))
cost-diff	0	(sqrt.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))
cost-diff	0	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (sqrt.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64))))
cost-diff	0	(sqrt.f64 #s(literal 841/108 binary64))
cost-diff	0	(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) (sqrt.f64 #s(literal 841/108 binary64))) x #s(literal 4/29 binary64))
cost-diff	4	(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) (sqrt.f64 #s(literal 841/108 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	251
0	69	233
1	116	233
2	229	221
3	503	221
4	1273	221
5	2469	221
6	2904	221
7	2963	221
8	2974	221
9	2975	221
10	2975	221
11	2975	221
0	2975	214

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) (sqrt.f64 #s(literal 841/108 binary64))) x #s(literal 4/29 binary64))
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) (sqrt.f64 #s(literal 841/108 binary64)))
(sqrt.f64 #s(literal 841/108 binary64))
#s(literal 841/108 binary64)
x
#s(literal 4/29 binary64)
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (sqrt.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64))))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))
(.f64 (.f64 x x) #s(literal 707281/11664 binary64))
(*.f64 x x)
x
#s(literal 707281/11664 binary64)
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (.f64 (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64))
(sqrt.f64 x)
x
#s(literal 841/108 binary64)
(/.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)) (+.f64 #s(literal -4/29 binary64) (.f64 x #s(literal 841/108 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)
(+.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))
#s(literal 841/108 binary64)
(+.f64 (/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 (* x 841/108)) (.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))) #s(approx (/ ( -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (.f64 (.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x) x)))
(/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 (* x 841/108)) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)))
#s(literal 16/841 binary64)
#s(approx (- 4/29 (* x 841/108)) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)
(-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))
(/.f64 #s(literal 4/29 binary64) x)
#s(literal 4/29 binary64)
x
#s(literal 841/108 binary64)
#s(approx (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (.f64 (.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x) x))
(.f64 (.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x) x)
(.f64 (-.f64 (.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x)
(-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64))
(*.f64 #s(literal -500246412961/20155392 binary64) x)
#s(literal -500246412961/20155392 binary64)
#s(literal 20511149/46656 binary64)

Outputs
(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) (sqrt.f64 #s(literal 841/108 binary64))) x #s(literal 4/29 binary64))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) (sqrt.f64 #s(literal 841/108 binary64)))
#s(literal 841/108 binary64)
(sqrt.f64 #s(literal 841/108 binary64))
#s(literal 841/108 binary64)
x
#s(literal 4/29 binary64)
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (sqrt.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64))))
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (sqrt.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x))))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))
(sqrt.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))
(.f64 (.f64 x x) #s(literal 707281/11664 binary64))
(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal 707281/11664 binary64)
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (.f64 (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x)))
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 x #s(literal 841/108 binary64)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x))
(*.f64 x #s(literal 841/108 binary64))
(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64))
(sqrt.f64 x)
x
#s(literal 841/108 binary64)
(/.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)) (+.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)))
(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)
(+.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
(*.f64 x #s(literal 841/108 binary64))
#s(literal 841/108 binary64)
(+.f64 (/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 (* x 841/108)) (.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))) #s(approx (/ ( -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (.f64 (.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x) x)))
(+.f64 #s(approx (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (.f64 (.f64 (-.f64 (.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x) x)) (/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 ( x 841/108)) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))))
(/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 (* x 841/108)) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)))
#s(literal 16/841 binary64)
#s(approx (- 4/29 (* x 841/108)) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)
(-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))
(/.f64 #s(literal 4/29 binary64) x)
#s(literal 4/29 binary64)
x
#s(literal 841/108 binary64)
#s(approx (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (.f64 (.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x) x))
(.f64 (.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x) x)
(.f64 (-.f64 (.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x)
(-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64))
(*.f64 #s(literal -500246412961/20155392 binary64) x)
#s(literal -500246412961/20155392 binary64)
#s(literal 20511149/46656 binary64)

localize328.0ms (5.5%)

Memory

21.6MiB live, 206.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(.f64 (.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x) x)
accuracy	0.09765625	(.f64 (-.f64 (.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x)
accuracy	0.2826097566042826	(/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 (* x 841/108)) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)))
accuracy	12.209572146010574	#s(approx (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (.f64 (.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x) x))
accuracy	0.00390625	(+.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
accuracy	0.01953125	(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))
accuracy	0.09765625	(*.f64 x #s(literal 841/108 binary64))
accuracy	6.314309148846079	(/.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)) (+.f64 #s(literal -4/29 binary64) (.f64 x #s(literal 841/108 binary64))))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.08203125	(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64))
accuracy	0.174160009768442	(.f64 (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x))
accuracy	19.566359377766616	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (.f64 (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x)))
accuracy	0.0	(*.f64 x x)
accuracy	0.07650375976844201	(.f64 (.f64 x x) #s(literal 707281/11664 binary64))
accuracy	16.646918639593235	(sqrt.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))
accuracy	19.566359377766616	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (sqrt.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64))))
accuracy	0.0	(sqrt.f64 #s(literal 841/108 binary64))
accuracy	0.0390625	(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) (sqrt.f64 #s(literal 841/108 binary64))) x #s(literal 4/29 binary64))
accuracy	0.5	(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) (sqrt.f64 #s(literal 841/108 binary64)))

Samples

221.0ms	128×	0	invalid
81.0ms	128×	0	valid

Compiler

Compiled 197 to 42 computations (78.7% saved)

Precisions

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

const: 204.0ms (71.9% of total)

ival-mult: 52.0ms (18.3% of total)

ival-sqrt: 12.0ms (4.2% of total)

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

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

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

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

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

series18.0ms (0.3%)

Memory

-29.8MiB live, 27.6MiB allocated

Counts

22 → 50

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) (sqrt.f64 #s(literal 841/108 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) (sqrt.f64 #s(literal 841/108 binary64))) x #s(literal 4/29 binary64))
(sqrt.f64 #s(literal 841/108 binary64))
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (sqrt.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64))))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))
(.f64 (.f64 x x) #s(literal 707281/11664 binary64))
(*.f64 x x)
(.f64 (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x))
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (.f64 (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64))
(sqrt.f64 x)
(+.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
(/.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)) (+.f64 #s(literal -4/29 binary64) (.f64 x #s(literal 841/108 binary64))))
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))
(+.f64 (/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 (* x 841/108)) (.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))) #s(approx (/ ( -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (.f64 (.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x) x)))
(/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 (* x 841/108)) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)))
#s(approx (- 4/29 (* x 841/108)) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)
(*.f64 x #s(literal 841/108 binary64))
#s(approx (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (.f64 (.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x) x))
(.f64 (-.f64 (.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x)
(.f64 (.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x) x)

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

10.0ms

inf

((* (sqrt 841/108) (sqrt 841/108)) (+ (* (* (sqrt 841/108) (sqrt 841/108)) x) 4/29) (sqrt 841/108) (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (sqrt (* (* x x) 707281/11664)) (* (* x x) 707281/11664) (* x x) (* (* (sqrt x) 841/108) (sqrt x)) (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (* (sqrt x) 841/108) (sqrt x) (+ -4/29 (* x 841/108)) (/ (+ (* 707281/11664 (* x x)) -16/841) (+ -4/29 (* x 841/108))) (+ (* 707281/11664 (* x x)) -16/841) (+ (/ 16/841 (- 4/29 (* x 841/108))) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108)))) (/ 16/841 (- 4/29 (* x 841/108))) (- 4/29 (* x 841/108)) (* (- (/ 4/29 x) 841/108) x) (* x 841/108) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* (- (* -500246412961/20155392 x) 20511149/46656) x) (* (* (- (* -500246412961/20155392 x) 20511149/46656) x) x))

5.0ms

-inf

((* (sqrt 841/108) (sqrt 841/108)) (+ (* (* (sqrt 841/108) (sqrt 841/108)) x) 4/29) (sqrt 841/108) (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (sqrt (* (* x x) 707281/11664)) (* (* x x) 707281/11664) (* x x) (* (* (sqrt x) 841/108) (sqrt x)) (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (* (sqrt x) 841/108) (sqrt x) (+ -4/29 (* x 841/108)) (/ (+ (* 707281/11664 (* x x)) -16/841) (+ -4/29 (* x 841/108))) (+ (* 707281/11664 (* x x)) -16/841) (+ (/ 16/841 (- 4/29 (* x 841/108))) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108)))) (/ 16/841 (- 4/29 (* x 841/108))) (- 4/29 (* x 841/108)) (* (- (/ 4/29 x) 841/108) x) (* x 841/108) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* (- (* -500246412961/20155392 x) 20511149/46656) x) (* (* (- (* -500246412961/20155392 x) 20511149/46656) x) x))

3.0ms

((* (sqrt 841/108) (sqrt 841/108)) (+ (* (* (sqrt 841/108) (sqrt 841/108)) x) 4/29) (sqrt 841/108) (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (sqrt (* (* x x) 707281/11664)) (* (* x x) 707281/11664) (* x x) (* (* (sqrt x) 841/108) (sqrt x)) (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (* (sqrt x) 841/108) (sqrt x) (+ -4/29 (* x 841/108)) (/ (+ (* 707281/11664 (* x x)) -16/841) (+ -4/29 (* x 841/108))) (+ (* 707281/11664 (* x x)) -16/841) (+ (/ 16/841 (- 4/29 (* x 841/108))) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108)))) (/ 16/841 (- 4/29 (* x 841/108))) (- 4/29 (* x 841/108)) (* (- (/ 4/29 x) 841/108) x) (* x 841/108) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* (- (* -500246412961/20155392 x) 20511149/46656) x) (* (* (- (* -500246412961/20155392 x) 20511149/46656) x) x))

simplify192.0ms (3.2%)

Memory

46.1MiB live, 180.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	164	384
1	474	342
2	1407	335
3	4160	331
0	8835	308

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

rewrite441.0ms (7.4%)

Memory

-25.2MiB live, 272.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	214
0	69	185
1	240	170
2	1383	165
0	8684	164

Stop Event

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

Counts

22 → 947

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) (sqrt.f64 #s(literal 841/108 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) (sqrt.f64 #s(literal 841/108 binary64))) x #s(literal 4/29 binary64))
(sqrt.f64 #s(literal 841/108 binary64))
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (sqrt.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64))))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))
(.f64 (.f64 x x) #s(literal 707281/11664 binary64))
(*.f64 x x)
(.f64 (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x))
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (.f64 (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64))
(sqrt.f64 x)
(+.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
(/.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)) (+.f64 #s(literal -4/29 binary64) (.f64 x #s(literal 841/108 binary64))))
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))
(+.f64 (/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 (* x 841/108)) (.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))) #s(approx (/ ( -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (.f64 (.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x) x)))
(/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 (* x 841/108)) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)))
#s(approx (- 4/29 (* x 841/108)) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)
(*.f64 x #s(literal 841/108 binary64))
#s(approx (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (.f64 (.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x) x))
(.f64 (-.f64 (.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x)
(.f64 (.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x) x)

Outputs
#s(literal 841/108 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))) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal 16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64))) (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x))))
(.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 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (fma.f64 (*.f64 x #s(literal 841/108 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) (.f64 (/.f64 #s(literal 16/841 binary64) (-.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 (.f64 #s(literal -707281/11664 binary64) (.f64 x 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 (.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (.f64 x #s(literal 841/108 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 (.f64 x #s(literal 841/108 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) (.f64 (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal 841/108 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal 841/108 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x)))) (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x))))) (.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x)))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x)))))) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 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 (sqrt.f64 #s(literal 841/108 binary64))) (.f64 x (sqrt.f64 #s(literal 841/108 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (*.f64 x (sqrt.f64 #s(literal 841/108 binary64)))))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 (.f64 #s(literal -841/108 binary64) x) (*.f64 #s(literal -841/108 binary64) x))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.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))) (fma.f64 (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) (fma.f64 (/.f64 #s(literal 16/841 binary64) (-.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 (.f64 #s(literal -707281/11664 binary64) (.f64 x 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 64/24389 binary64) (pow.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (.f64 x (sqrt.f64 #s(literal 841/108 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 16/841 binary64) (fma.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (.f64 x (sqrt.f64 #s(literal 841/108 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (.f64 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 x (sqrt.f64 #s(literal 841/108 binary64))))))))
(/.f64 (-.f64 #s(literal 64/24389 binary64) (pow.f64 (.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 16/841 binary64) (fma.f64 (.f64 #s(literal -841/108 binary64) x) (.f64 #s(literal -841/108 binary64) x) (.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) #s(literal 3 binary64)) (.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 (.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) (.f64 (.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) #s(literal -707281/11664 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (.f64 x #s(literal 841/108 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal 841/108 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (.f64 x #s(literal 841/108 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 (.f64 x #s(literal 841/108 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal 841/108 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal 841/108 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (.f64 x #s(literal 841/108 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x #s(literal 841/108 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x)))) (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x)))) (-.f64 (.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x)))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x))))) (.f64 (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x)))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) #s(literal 3 binary64)) (.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 (.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) (.f64 (.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) #s(literal -707281/11664 binary64))))))
(/.f64 (+.f64 #s(literal 64/24389 binary64) (pow.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (.f64 x (sqrt.f64 #s(literal 841/108 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 16/841 binary64) (-.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (.f64 x (sqrt.f64 #s(literal 841/108 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (.f64 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 x (sqrt.f64 #s(literal 841/108 binary64))))))))
(/.f64 (+.f64 #s(literal 64/24389 binary64) (pow.f64 (.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 16/841 binary64) (-.f64 (.f64 (.f64 #s(literal -841/108 binary64) x) (.f64 #s(literal -841/108 binary64) x)) (.f64 #s(literal 4/29 binary64) (.f64 #s(literal -841/108 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) #s(literal 16/841 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x))))))
(/.f64 (neg.f64 (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) (neg.f64 (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 (.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.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) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 841/729 binary64) (.f64 x x)) (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal -16/841 binary64)))) (neg.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)))) (neg.f64 (fma.f64 (*.f64 x #s(literal 841/108 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 64/24389 binary64) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x #s(literal 841/108 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)) (-.f64 #s(literal -64/24389 binary64) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal 16/841 binary64)) (+.f64 #s(literal 16/841 binary64) (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x (*.f64 #s(literal -29/27 binary64) x)))))
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(+.f64 (cosh.f64 (log.f64 (.f64 x #s(literal 841/108 binary64)))) (sinh.f64 (log.f64 (.f64 x #s(literal 841/108 binary64)))))
#s(approx (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (.f64 (.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x) x))
(.f64 (-.f64 (.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x)
(.f64 x (-.f64 (.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x)) #s(literal 420707233300201/2176782336 binary64)) x)) (neg.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 3 binary64)) #s(literal 8629188747598184440949/101559956668416 binary64)) x)) (neg.f64 (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x) (fma.f64 x #s(literal -10260628712958602189/940369969152 binary64) #s(literal 420707233300201/2176782336 binary64)))))
(/.f64 (neg.f64 (.f64 x (-.f64 (.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x)) #s(literal 420707233300201/2176782336 binary64)))) (neg.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64))))
(/.f64 (neg.f64 (.f64 x (-.f64 (pow.f64 (.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 3 binary64)) #s(literal 8629188747598184440949/101559956668416 binary64)))) (neg.f64 (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x) (fma.f64 x #s(literal -10260628712958602189/940369969152 binary64) #s(literal 420707233300201/2176782336 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x)) #s(literal 420707233300201/2176782336 binary64)) x) (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 3 binary64)) #s(literal 8629188747598184440949/101559956668416 binary64)) x) (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x) (fma.f64 x #s(literal -10260628712958602189/940369969152 binary64) #s(literal 420707233300201/2176782336 binary64))))
(/.f64 (.f64 x (-.f64 (.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x)) #s(literal 420707233300201/2176782336 binary64))) (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 3 binary64)) #s(literal 8629188747598184440949/101559956668416 binary64))) (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x) (fma.f64 x #s(literal -10260628712958602189/940369969152 binary64) #s(literal 420707233300201/2176782336 binary64))))
(.f64 (.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x) x)
(.f64 (-.f64 (.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)))
(.f64 x (.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (.f64 x x)) #s(literal 420707233300201/2176782336 binary64)) (.f64 x x))) (neg.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 3 binary64)) #s(literal 8629188747598184440949/101559956668416 binary64)) (.f64 x x))) (neg.f64 (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (.f64 x x) (fma.f64 x #s(literal -10260628712958602189/940369969152 binary64) #s(literal 420707233300201/2176782336 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (.f64 x x)) #s(literal 420707233300201/2176782336 binary64)) (.f64 x x)) (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 3 binary64)) #s(literal 8629188747598184440949/101559956668416 binary64)) (.f64 x x)) (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (.f64 x x) (fma.f64 x #s(literal -10260628712958602189/940369969152 binary64) #s(literal 420707233300201/2176782336 binary64))))

eval122.0ms (2%)

Memory: 16.3MiB live, 156.5MiB allocated
Compiler: Compiled 22 702 to 2 143 computations (90.6% saved)

prune22.0ms (0.4%)

Memory

-29.9MiB live, 60.2MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	716	3	719
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	718	9	727

Accuracy

100.0%

Counts

727 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) (sqrt.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))
	78.3%	(/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
	78.3%	(/.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)) #s(approx (+ -4/29 ( x 841/108)) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)))))
✓	56.3%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
✓	19.3%	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (.f64 (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x)))
	44.5%	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (.f64 (.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64))))
✓	44.6%	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))
✓	11.3%	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (sqrt.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64))))

Compiler

Compiled 476 to 208 computations (56.3% saved)

regimes18.0ms (0.3%)

Memory

22.6MiB live, 22.6MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (sqrt.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64))))
(/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (.f64 (.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64))))
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (.f64 (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(/.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)) (+.f64 #s(literal -4/29 binary64) (.f64 x #s(literal 841/108 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)) (sqrt.f64 #s(literal 841/108 binary64))) x #s(literal 4/29 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 841/108 binary64))) (sqrt.f64 (.f64 x #s(literal 841/108 binary64))) #s(literal 4/29 binary64))
(fma.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(.f64 (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (+.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 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)) #s(approx (+ -4/29 ( x 841/108)) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)))))
(fabs.f64 (-.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))))
(+.f64 (/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 (* x 841/108)) (.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))) #s(approx (/ ( -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (.f64 (.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) 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 (.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) #s(approx (- 4/29 (* x 841/108)) (.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
(fma.f64 x (pow.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) #s(literal 2 binary64)) #s(literal 4/29 binary64))
(/.f64 (-.f64 (.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (.f64 (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64))) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)))) (.f64 (-.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)))))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 15 computations (0% saved)

regimes4.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.6%	3	`x`
97.6%	3	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
97.6%	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

6.2MiB live, 6.2MiB 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
56.3%	1	`x`
56.3%	1	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
56.3%	1	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.007214719669082383	0.3235355890750438
0.0ms	-618.4207879390159	-2.257443767292809e-6

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify14.0ms (0.2%)

Memory

-33.6MiB live, 13.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	44
1	38	44
2	60	44
3	84	44
4	96	44

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 -500 binary64)) #s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))))

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

Outputs
(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 -500 binary64)) #s(approx (+ ( (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))))
(if (or (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -500 binary64)) (not (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 5764607523034235/576460752303423488 binary64)))) #s(approx (+ (* (/ 841 108) x) (/ 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))

soundness481.0ms (8.1%)

Memory

-18.1MiB live, 240.0MiB 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	193	418
1	552	401
2	1576	393
3	4981	388
0	8866	371
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 147 to 67 computations (54.4% saved)

preprocess22.0ms (0.4%)

Memory: 26.2MiB live, 26.2MiB allocated
Compiler: Compiled 130 to 70 computations (46.2% 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	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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (17.4%)

explain136.0ms (2.3%)

preprocess14.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify8.0ms (0.1%)

localize45.0ms (0.8%)

series2.0ms (0%)

simplify68.0ms (1.1%)

rewrite228.0ms (3.8%)

eval49.0ms (0.8%)

prune7.0ms (0.1%)

simplify322.0ms (5.4%)

localize152.0ms (2.5%)

series18.0ms (0.3%)

simplify346.0ms (5.8%)

rewrite824.0ms (13.8%)

eval257.0ms (4.3%)

prune31.0ms (0.5%)

simplify113.0ms (1.9%)

localize123.0ms (2.1%)

series14.0ms (0.2%)

simplify200.0ms (3.4%)

rewrite86.0ms (1.4%)

eval165.0ms (2.8%)

prune8.0ms (0.1%)

simplify48.0ms (0.8%)

localize328.0ms (5.5%)

series18.0ms (0.3%)

simplify192.0ms (3.2%)

rewrite441.0ms (7.4%)

eval122.0ms (2%)

prune22.0ms (0.4%)

regimes18.0ms (0.3%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

simplify14.0ms (0.2%)

soundness481.0ms (8.1%)

preprocess22.0ms (0.4%)

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