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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

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)

sample940.0ms (18.6%)

Memory

7.4MiB live, 1 420.1MiB allocated; 239ms collecting garbage

Samples

636.0ms	8 254×	0	valid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 364.0ms

ival-div: 219.0ms (60.2% of total)

ival-mult: 82.0ms (22.6% of total)

ival-add: 38.0ms (10.5% of total)

exact: 13.0ms (3.6% of total)

ival-true: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.8% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

explain174.0ms (3.5%)

Memory

-12.3MiB live, 110.2MiB allocated; 112ms collecting garbage

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

41.0ms

512×

valid

Compiler

Compiled 63 to 31 computations (50.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 7.0ms (47.9% of total)

ival-mult: 3.0ms (20.5% of total)

ival-add: 2.0ms (13.7% of total)

exact: 1.0ms (6.8% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess27.0ms (0.5%)

Memory

-25.8MiB live, 25.1MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 9 computations (0% saved)

simplify4.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

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)

localize23.0ms (0.4%)

Memory

-6.3MiB live, 38.8MiB allocated; 5ms collecting garbage

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	0.015625	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
accuracy	0.14453125	(*.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 (56.1% of total)

ival-mult: 2.0ms (28% of total)

ival-add: 1.0ms (14% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Counts

4 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

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

0.0ms

-inf

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

0.0ms

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

simplify10.0ms (0.2%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

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))

rewrite251.0ms (5%)

Memory

-12.6MiB live, 411.4MiB allocated; 48ms collecting garbage

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)))))

eval32.0ms (0.6%)

Memory: 11.1MiB live, 64.7MiB allocated; 8ms collecting garbage
Compiler: Compiled 5 013 to 600 computations (88% saved)

prune32.0ms (0.6%)

Memory

-2.7MiB live, 43.9MiB allocated; 2ms collecting garbage

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	166	11	177
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	167	11	178

Accuracy

100.0%

Counts

178 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.8%	(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))
▶	49.4%	(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))
	49.5%	(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))
	53.3%	(/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #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)))
	68.5%	(/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))))
	62.6%	(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) #s(literal 256/707281 binary64)) (.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))))
	99.5%	(-.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))))
▶	76.9%	(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (.f64 (neg.f64 (.f64 #s(literal 707281/11664 binary64) x)) x) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
▶	76.9%	(+.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)))))
▶	53.9%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Compiler

Compiled 304 to 234 computations (23% saved)

simplify31.0ms (0.6%)

Memory

-4.5MiB live, 42.4MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
cost-diff	1	(neg.f64 (*.f64 #s(literal 707281/11664 binary64) x))
cost-diff	1	(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
cost-diff	6	(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (.f64 (neg.f64 (.f64 #s(literal 707281/11664 binary64) x)) x) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
cost-diff	0	(*.f64 x #s(literal 841/108 binary64))
cost-diff	0	(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
cost-diff	1	(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
cost-diff	6	(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
cost-diff	0	(*.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	30	158
0	46	135
1	76	135
2	170	135
3	355	135
4	576	135
5	692	135
6	718	135
7	728	135
8	739	135
9	740	135
0	740	125

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize167.0ms (3.3%)

Memory

29.4MiB live, 174.6MiB allocated; 28ms collecting garbage

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(.f64 (neg.f64 (.f64 #s(literal 707281/11664 binary64) x)) x)
accuracy	0.08984375	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	0.125	(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
accuracy	8.233838103318984	(/.f64 (.f64 (neg.f64 (.f64 #s(literal 707281/11664 binary64) x)) x) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
accuracy	0.0703125	(*.f64 x #s(literal 841/108 binary64))
accuracy	0.09128748963390108	(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
accuracy	0.125	(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
accuracy	8.233838103318984	(/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
accuracy	0.06640625	(sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))
accuracy	0.0703125	(*.f64 x #s(literal 841/108 binary64))
accuracy	0.12890625	(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	13.975354827297442	#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

91.0ms	129×	0	invalid
57.0ms	127×	0	valid

Compiler

Compiled 164 to 32 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

const: 73.0ms (55.7% of total)

ival-add: 24.0ms (18.3% of total)

ival-mult: 21.0ms (16% of total)

ival-div: 8.0ms (6.1% of total)

ival-sqrt: 2.0ms (1.5% of total)

ival-sub: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% 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)

series59.0ms (1.2%)

Memory

-11.1MiB live, 32.2MiB allocated; 15ms collecting garbage

Counts

15 → 34

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

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))))))
(* -707281/11664 x)
(* -20511149/46656 (pow x 2))
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656))
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(* -707281/11664 (pow x 2))
(* 707281/11664 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (pow (sqrt 841/108) 2))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))
(* -1 (* x (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 (* 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
50.0ms	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))) (/ (* (neg (* 707281/11664 x)) x) (- 4/29 (* x 841/108)))) (neg (* 707281/11664 x)) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* -707281/11664 (* x x)) (/ (* (neg (* 707281/11664 x)) x) (- 4/29 (* x 841/108))) (* 707281/11664 x) (* (neg (* 707281/11664 x)) x))
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))) (/ (* (neg (* 707281/11664 x)) x) (- 4/29 (* x 841/108)))) (neg (* 707281/11664 x)) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* -707281/11664 (* x x)) (/ (* (neg (* 707281/11664 x)) x) (- 4/29 (* x 841/108))) (* 707281/11664 x) (* (neg (* 707281/11664 x)) x))
4.0ms	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))) (/ (* (neg (* 707281/11664 x)) x) (- 4/29 (* x 841/108)))) (neg (* 707281/11664 x)) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* -707281/11664 (* x x)) (/ (* (neg (* 707281/11664 x)) x) (- 4/29 (* x 841/108))) (* 707281/11664 x) (* (neg (* 707281/11664 x)) x))

Time

Variable

Point

Expression

50.0ms

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

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

4.0ms

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

simplify134.0ms (2.6%)

Memory

0.6MiB live, 147.7MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	281
1	401	269
2	1111	262
3	3156	258
4	7869	258
0	8167	243

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 34

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

rewrite404.0ms (8%)

Memory

-8.9MiB live, 650.6MiB allocated; 94ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	120
0	46	78
1	161	78
2	921	75
0	10436	75

Stop Event

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

Counts

15 → 2 036

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

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

eval173.0ms (3.4%)

Memory: 11.5MiB live, 250.4MiB allocated; 56ms collecting garbage
Compiler: Compiled 27 376 to 2 240 computations (91.8% saved)

prune22.0ms (0.4%)

Memory

23.5MiB live, 68.9MiB allocated; 6ms collecting garbage

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	1 008	5	1 013
Fresh	4	2	6
Picked	3	2	5
Done	0	0	0
Total	1 015	9	1 024

Accuracy

100.0%

Counts

1 024 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)) x (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
▶	99.7%	(fma.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
▶	49.5%	(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))
	62.6%	(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) #s(literal 256/707281 binary64)) (.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))))
▶	76.9%	(/.f64 (neg.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
	77.0%	(+.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))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
✓	53.9%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
▶	47.8%	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))

Compiler

Compiled 227 to 175 computations (22.9% saved)

simplify38.0ms (0.8%)

Memory

-34.7MiB live, 11.2MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 #s(literal 841/108 binary64))
cost-diff	0	(*.f64 x (sqrt.f64 #s(literal 841/108 binary64)))
cost-diff	4	(fma.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 #s(literal 707281/11664 binary64) x)
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x))
cost-diff	0	(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
cost-diff	0	(*.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 (neg.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
cost-diff	1	(neg.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 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	(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
cost-diff	0	(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
cost-diff	0	(*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64))
cost-diff	5	(fma.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)) x (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	139
0	52	137
1	88	134
2	195	126
3	441	126
4	765	126
5	938	126
6	952	126
7	959	126
8	959	126
0	959	121

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize126.0ms (2.5%)

Memory

14.7MiB live, 154.9MiB allocated; 40ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 #s(literal 841/108 binary64))
accuracy	0.06640625	(fma.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
accuracy	0.13671875	(*.f64 x (sqrt.f64 #s(literal 841/108 binary64)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0625	(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x))
accuracy	0.0859375	(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
accuracy	0.08984375	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	0.0	(neg.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)))
accuracy	0.02734375	(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))
accuracy	0.03125	(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
accuracy	8.161240593550543	(/.f64 (neg.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy	0.0703125	(*.f64 #s(literal 841/108 binary64) x)
accuracy	16.656358979045482	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))
accuracy	0.03515625	(fma.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)) x (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
accuracy	0.05078125	(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy	0.09765625	(*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64))
accuracy	0.125	(/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))

Samples

57.0ms	126×	0	valid
44.0ms	129×	0	invalid
1.0ms	1×	2	valid

Compiler

Compiled 151 to 36 computations (76.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-mult: 38.0ms (47.9% of total)

const: 21.0ms (26.4% of total)

ival-add: 8.0ms (10.1% of total)

ival-sqrt: 6.0ms (7.6% of total)

ival-div: 5.0ms (6.3% of total)

ival-neg: 1.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

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

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

series13.0ms (0.3%)

Memory

26.4MiB live, 26.4MiB allocated; 0ms collecting garbage

Counts

18 → 57

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

-inf

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

3.0ms

inf

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

3.0ms

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

simplify247.0ms (4.9%)

Memory

-36.5MiB live, 200.7MiB allocated; 69ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	418
1	575	412
2	1562	391
3	4286	386
0	8434	363

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 57

Calls

Call 1

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

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

rewrite368.0ms (7.3%)

Memory

15.2MiB live, 202.8MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	117
0	52	83
1	178	83
2	1242	82
0	10300	81

Stop Event

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

Counts

18 → 1 343

Calls

Call 1

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

Outputs
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(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) x) #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x x) #s(literal 841/729 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x x) #s(literal 841/729 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x (-.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64))))) (/.f64 #s(literal 64/24389 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) x) #s(literal 2 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(+.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) x) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(+.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (.f64 (.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) x))
(+.f64 #s(literal 4/29 binary64) (.f64 (neg.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 (.f64 (neg.f64 x) (sqrt.f64 #s(literal 841/108 binary64)))) (sqrt.f64 #s(literal 841/108 binary64))))
(+.f64 #s(literal 4/29 binary64) (.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64)))) (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(.f64 (.f64 x (pow.f64 #s(literal 841/108 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 841/108 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 841/108 binary64)))
(*.f64 (neg.f64 (pow.f64 #s(literal 841/108 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 841/108 binary64) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(literal 841/108 binary64) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(literal 841/108 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 841/108 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 841/108 binary64) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(literal 841/108 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 841/108 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 707281/11664 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))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 841/108 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 841/108 binary64)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 #s(literal 841/108 binary64)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 #s(literal 841/108 binary64)) #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal -16/841 binary64) (-.f64 (.f64 (*.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) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)))))
(/.f64 (.f64 #s(literal 16/841 binary64) (-.f64 (.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64/24389 binary64))) (.f64 (-.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (+.f64 #s(literal 16/841 binary64) (.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64))))))
(/.f64 (.f64 #s(literal 16/841 binary64) (-.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) x) #s(literal 16/841 binary64))) (.f64 (-.f64 (.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 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64)) (pow.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -29/27 binary64) x)) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (-.f64 (-.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (*.f64 #s(literal -29/27 binary64) x))))
(/.f64 (.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -29/27 binary64) x)) #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -29/27 binary64) x)) (+.f64 #s(literal 16/841 binary64) (.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64))))))))
(/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
(neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(fma.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -29/27 binary64) x)) (.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (.f64 (.f64 #s(literal 707281/11664 binary64) x) x)))
(fma.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (.f64 (.f64 #s(literal 707281/11664 binary64) x) x) (.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -29/27 binary64) x))))
(fma.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -29/27 binary64) x)) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) x) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))))
(fma.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) x) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -29/27 binary64) x)) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))))
(+.f64 (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -29/27 binary64) x)) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (.f64 (.f64 (*.f64 #s(literal 707281/11664 binary64) x) x) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))))
(+.f64 (.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) x) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x)) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -29/27 binary64) x))) (.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)))
(+.f64 (.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (.f64 (.f64 #s(literal 707281/11664 binary64) x) x)) (.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x))))

eval160.0ms (3.2%)

Memory: 8.8MiB live, 158.7MiB allocated; 15ms collecting garbage
Compiler: Compiled 14 078 to 1 884 computations (86.6% saved)

prune145.0ms (2.9%)

Memory

-10.2MiB live, 36.5MiB allocated; 2ms collecting garbage

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	662	6	668
Fresh	2	0	2
Picked	4	1	5
Done	0	2	2
Total	668	9	677

Accuracy

100.0%

Counts

677 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.1%	(fma.f64 (.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)) x #s(approx (/ 16/841 (+ ( -841/108 x) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x)))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	75.2%	(/.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)))
▶	77.0%	(/.f64 (neg.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64))) #s(approx (+ ( -841/108 x) 4/29) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)))
▶	24.7%	(/.f64 #s(approx (neg (+ (* 707281/11664 (* x x)) -16/841)) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
✓	53.9%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
▶	23.4%	#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)))
▶	47.7%	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64))))
✓	47.8%	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))

Compiler

Compiled 250 to 189 computations (24.4% saved)

simplify65.0ms (1.3%)

Memory

-1.1MiB live, 45.2MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	212
0	65	198
1	105	198
2	205	182
3	485	182
4	1346	182
5	2556	182
6	3413	182
7	3484	182
8	3499	182
9	3509	182
10	3510	182
11	3510	182
12	3510	182
0	3510	178

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize115.0ms (2.3%)

Memory

0.4MiB live, 51.3MiB allocated; 6ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 x)
accuracy	0.15234375	(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64))
accuracy	0.1796875	(.f64 (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x))
accuracy	16.656358979045482	#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	(sqrt.f64 #s(literal 841/108 binary64))
accuracy	0.13671875	(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
accuracy	0.15625	(.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)))
accuracy	16.656358979045482	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64))))
accuracy	0.015625	(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64))
accuracy	0.0390625	(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
accuracy	0.08984375	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	8.161240593550543	(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
accuracy	0.03125	(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
accuracy	0.09128748963390108	(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
accuracy	8.161240593550543	(/.f64 #s(approx (neg (+ (* 707281/11664 (* x x)) -16/841)) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy	17.047062804583074	#s(approx (neg (+ (* 707281/11664 (* x x)) -16/841)) (.f64 (.f64 x x) #s(literal -707281/11664 binary64)))
accuracy	0.02734375	(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))
accuracy	0.03125	(/.f64 #s(literal 4/29 binary64) x)
accuracy	0.04296875	(*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)
accuracy	8.161240593550543	(/.f64 (neg.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64))) #s(approx (+ ( -841/108 x) 4/29) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)))

Samples

53.0ms	127×	0	valid
37.0ms	129×	0	invalid

Compiler

Compiled 183 to 37 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 20.0ms (27.5% of total)

const: 20.0ms (27.5% of total)

ival-neg: 18.0ms (24.7% of total)

ival-add: 5.0ms (6.9% of total)

ival-div: 4.0ms (5.5% of total)

ival-sqrt: 4.0ms (5.5% of total)

ival-sub: 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)

series11.0ms (0.2%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

Counts

22 → 40

Calls

Call 1

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

Outputs
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
4/29
(+ 4/29 (* 841/108 x))
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
(pow x 2)
(* -707281/11664 (pow x 2))
(+ 4/29 (* -841/108 x))
(+ 4/29 (* x (- (* 20511149/23328 x) 841/108)))
(+ 4/29 (* x (- (* x (+ 20511149/23328 (* -500246412961/10077696 x))) 841/108)))
(+ 16/841 (* 707281/11664 (pow x 2)))
(* 707281/11664 x)
(* x (pow (sqrt 841/108) 2))
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* x (sqrt 841/108))
(* 841/108 x)
(* 841/108 (sqrt x))
(sqrt x)
(/ 4/29 x)
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (* 4/29 (/ 1 x))))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (+ (* 4/29 (/ 1 x)) (* 1492992/17249876309 (/ 1 (pow x 3))))))
(* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* -1 (/ (- (* 3456/707281 (/ 1 x)) 4/29) x)) 841/108)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1492992/17249876309 (/ 1 x)) 3456/707281) x)) 4/29) x)) 841/108)))
(* -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 (- 841/108 (* 4/29 (/ 1 x)))))

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

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

3.0ms

inf

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

3.0ms

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

simplify163.0ms (3.2%)

Memory

-16.6MiB live, 116.8MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	241
1	275	237
2	651	235
3	1763	230
4	6148	230
0	8156	212

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 40

Calls

Call 1

Inputs
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
4/29
(+ 4/29 (* 841/108 x))
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
(pow x 2)
(* -707281/11664 (pow x 2))
(+ 4/29 (* -841/108 x))
(+ 4/29 (* x (- (* 20511149/23328 x) 841/108)))
(+ 4/29 (* x (- (* x (+ 20511149/23328 (* -500246412961/10077696 x))) 841/108)))
(+ 16/841 (* 707281/11664 (pow x 2)))
(* 707281/11664 x)
(* x (pow (sqrt 841/108) 2))
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* x (sqrt 841/108))
(* 841/108 x)
(* 841/108 (sqrt x))
(sqrt x)
(/ 4/29 x)
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (* 4/29 (/ 1 x))))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (+ (* 4/29 (/ 1 x)) (* 1492992/17249876309 (/ 1 (pow x 3))))))
(* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* -1 (/ (- (* 3456/707281 (/ 1 x)) 4/29) x)) 841/108)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1492992/17249876309 (/ 1 x)) 3456/707281) x)) 4/29) x)) 841/108)))
(* -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 (- 841/108 (* 4/29 (/ 1 x)))))

Outputs
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
-16/841
#s(literal -16/841 binary64)
(- (* 707281/11664 (pow x 2)) 16/841)
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(pow x 2)
(*.f64 x x)
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(+ 4/29 (* -841/108 x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* x (- (* 20511149/23328 x) 841/108)))
(fma.f64 (-.f64 (*.f64 #s(literal 20511149/23328 binary64) x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 4/29 (* x (- (* x (+ 20511149/23328 (* -500246412961/10077696 x))) 841/108)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -500246412961/10077696 binary64) x #s(literal 20511149/23328 binary64)) x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 16/841 (* 707281/11664 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64))
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* x (pow (sqrt 841/108) 2))
(*.f64 #s(literal 841/108 binary64) x)
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (sqrt 841/108))
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64))
(sqrt x)
(sqrt.f64 x)
(/ 4/29 x)
(/.f64 #s(literal 4/29 binary64) x)
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 16/841 binary64) (*.f64 x x)) #s(literal 707281/11664 binary64)) x) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal 707281/11664 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (* 4/29 (/ 1 x))))
(fma.f64 (+.f64 (/.f64 #s(literal 3456/707281 binary64) (*.f64 x x)) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (+ (* 4/29 (/ 1 x)) (* 1492992/17249876309 (/ 1 (pow x 3))))))
(fma.f64 (-.f64 #s(literal 841/108 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1492992/17249876309 binary64) x) #s(literal 3456/707281 binary64)) x) x)) x #s(literal -4/29 binary64))
(* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64))
(* 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)
(* -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 (/ (- (* 3456/707281 (/ 1 x)) 4/29) x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -3456/707281 binary64) x) #s(literal 4/29 binary64)) x) #s(literal 841/108 binary64)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1492992/17249876309 (/ 1 x)) 3456/707281) x)) 4/29) x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1492992/17249876309 binary64) x) #s(literal 3456/707281 binary64)) x) #s(literal 4/29 binary64)) x) #s(literal 841/108 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 (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))

rewrite273.0ms (5.4%)

Memory

-13.2MiB live, 192.1MiB allocated; 65ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	174
0	65	154
1	208	154
2	1050	133
0	9106	133

Stop Event

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

Counts

22 → 927

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 #s(literal -707281/11664 binary64) x) x) #s(literal -16/841 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 #s(literal -707281/11664 binary64) x) x) #s(literal -16/841 binary64)))) (.f64 (/.f64 #s(literal -256/707281 binary64) (-.f64 (.f64 (.f64 #s(literal -707281/11664 binary64) x) x) #s(literal -16/841 binary64))) (/.f64 #s(literal -256/707281 binary64) (-.f64 (.f64 (.f64 #s(literal -707281/11664 binary64) x) x) #s(literal -16/841 binary64))))) (+.f64 (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 #s(literal -707281/11664 binary64) x) x) #s(literal -16/841 binary64))) (/.f64 #s(literal -256/707281 binary64) (-.f64 (.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal -16/841 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal 841/729 binary64) (.f64 x x))))) (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal 841/729 binary64) (.f64 x x)))))) (.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal 841/729 binary64) (.f64 x x))))) (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal 841/729 binary64) (.f64 x x))))))) (-.f64 (.f64 (.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 #s(literal -707281/11664 binary64) x) x) #s(literal -16/841 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -256/707281 binary64) (-.f64 (.f64 (.f64 #s(literal -707281/11664 binary64) x) x) #s(literal -16/841 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 #s(literal -707281/11664 binary64) x) x) #s(literal -16/841 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 #s(literal -707281/11664 binary64) x) x) #s(literal -16/841 binary64))) (fma.f64 (/.f64 #s(literal -256/707281 binary64) (-.f64 (.f64 (.f64 #s(literal -707281/11664 binary64) x) x) #s(literal -16/841 binary64))) (/.f64 #s(literal -256/707281 binary64) (-.f64 (.f64 (.f64 #s(literal -707281/11664 binary64) x) x) #s(literal -16/841 binary64))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 #s(literal -707281/11664 binary64) x) x) #s(literal -16/841 binary64))) (/.f64 #s(literal -256/707281 binary64) (-.f64 (.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal -16/841 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal 841/729 binary64) (.f64 x x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal 841/729 binary64) (.f64 x x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal 841/729 binary64) (.f64 x x))))) (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal 841/729 binary64) (.f64 x x))))) (-.f64 (.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal 841/729 binary64) (.f64 x x))))) (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal 841/729 binary64) (.f64 x x)))))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal 841/729 binary64) (.f64 x x))))) (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal 841/729 binary64) (.f64 x x)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 256/707281 binary64) (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)))) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) #s(literal 256/707281 binary64)))) (-.f64 (.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64))) (.f64 (-.f64 (.f64 (.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) #s(literal 256/707281 binary64))) (.f64 (-.f64 (.f64 (.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (-.f64 (.f64 (.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal 841/729 binary64) (.f64 x x)))) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal 841/729 binary64) (.f64 x x)))) #s(literal 4096/594823321 binary64))) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal 841/729 binary64) (.f64 x x)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal 841/729 binary64) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 256/707281 binary64) (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)))
(/.f64 (fma.f64 #s(literal -353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -4096/594823321 binary64)) (neg.f64 (+.f64 #s(literal 256/707281 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (.f64 #s(literal 841/729 binary64) (.f64 x x))))))
(/.f64 (fma.f64 #s(literal -353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -4096/594823321 binary64)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal 841/729 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) #s(literal 256/707281 binary64))) (-.f64 (.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal -16/841 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) #s(literal 256/707281 binary64)) (-.f64 (.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)))
(/.f64 (fma.f64 #s(literal -353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal 841/729 binary64) (.f64 x x)))))))
(/.f64 (fma.f64 #s(literal -353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) (+.f64 #s(literal 256/707281 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (.f64 #s(literal 841/729 binary64) (.f64 x x)))))
(/.f64 (fma.f64 #s(literal -353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal 841/729 binary64) (.f64 x x)))))
(neg.f64 (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)))
(fma.f64 (.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 3/2 binary64)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 16/841 binary64))
(fma.f64 (.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1/4 binary64)) #s(literal 16/841 binary64))
(fma.f64 (.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 3/2 binary64)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) #s(literal 16/841 binary64))
(fma.f64 (.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 3/2 binary64)) (sqrt.f64 x)) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 16/841 binary64))
(fma.f64 (.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 x) #s(literal 16/841 binary64))
(fma.f64 (.f64 (.f64 #s(literal 841/108 binary64) x) (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 16/841 binary64))
(fma.f64 (.f64 (.f64 #s(literal 841/108 binary64) x) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) #s(literal 16/841 binary64))
(fma.f64 (fabs.f64 (.f64 #s(literal 841/108 binary64) (.f64 x x))) #s(literal 841/108 binary64) #s(literal 16/841 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal -707281/11664 binary64) x)) x #s(literal 16/841 binary64))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 707281/11664 binary64))) (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) #s(literal 16/841 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 x x))) x #s(literal 16/841 binary64))
(fma.f64 (sqrt.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 707281/11664 binary64)) #s(literal 707281/11664 binary64))) (sqrt.f64 x) #s(literal 16/841 binary64))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 707281/11664 binary64))) #s(literal 841/108 binary64) #s(literal 16/841 binary64))
(fma.f64 (pow.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1/4 binary64)) #s(literal 4 binary64)) #s(literal 16/841 binary64))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4 binary64)) #s(literal 16/841 binary64))
(fma.f64 (pow.f64 (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 16/841 binary64))
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) #s(literal 2 binary64)) #s(literal 841/108 binary64) #s(literal 16/841 binary64))
(fma.f64 (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))
(fma.f64 (.f64 #s(literal 841/108 binary64) (.f64 x x)) #s(literal 841/108 binary64) #s(literal 16/841 binary64))
(fma.f64 (.f64 #s(literal 841/108 binary64) (.f64 x x)) #s(literal -841/108 binary64) #s(literal 16/841 binary64))
(fma.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (.f64 (sqrt.f64 #s(literal 841/108 binary64)) (*.f64 #s(literal 841/108 binary64) x)) #s(literal 16/841 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (.f64 (sqrt.f64 #s(literal 841/108 binary64)) (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 3/2 binary64))) #s(literal 16/841 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64))
(fma.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 3/2 binary64)) (sqrt.f64 (.f64 #s(literal 841/108 binary64) x)) #s(literal 16/841 binary64))
(fma.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 3/2 binary64))) #s(literal 16/841 binary64))
(fma.f64 (neg.f64 x) (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 16/841 binary64))
(fma.f64 (sqrt.f64 x) (.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 3/2 binary64))) #s(literal 16/841 binary64))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 #s(literal 841/108 binary64)) (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 3/2 binary64))) #s(literal 16/841 binary64))
(fma.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (*.f64 #s(literal 841/108 binary64) x)) #s(literal 16/841 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 707281/11664 binary64)) #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal 841/108 binary64) x)) (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 3/2 binary64)) #s(literal 16/841 binary64))
(fma.f64 (sqrt.f64 #s(literal 841/108 binary64)) (.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 3/2 binary64))) #s(literal 16/841 binary64))
(fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) (neg.f64 x) #s(literal 16/841 binary64))
(fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 (neg.f64 x) x) #s(literal 16/841 binary64))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
(fma.f64 #s(literal 841/108 binary64) (fabs.f64 (.f64 #s(literal 841/108 binary64) (.f64 x x))) #s(literal 16/841 binary64))
(fma.f64 #s(literal 841/108 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))
(fma.f64 #s(literal 841/108 binary64) (.f64 #s(literal 841/108 binary64) (.f64 x x)) #s(literal 16/841 binary64))
(fma.f64 (.f64 #s(literal 841/108 binary64) x) (.f64 #s(literal 841/108 binary64) x) #s(literal 16/841 binary64))
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(fma.f64 (*.f64 x x) (/.f64 #s(literal -707281/11664 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(fma.f64 x (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(fma.f64 x (*.f64 x (/.f64 #s(literal -707281/11664 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(fma.f64 x (pow.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) #s(literal 2 binary64)) #s(literal 4/29 binary64))
(fma.f64 x (/.f64 (*.f64 #s(literal -707281/11664 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(fma.f64 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 707281/11664 binary64) (*.f64 x (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(fma.f64 #s(literal 707281/11664 binary64) (/.f64 (*.f64 x x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) (.f64 (-.f64 (.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 256/707281 binary64) (.f64 (-.f64 (.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 (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) (-.f64 (.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 -256/707281 binary64) (-.f64 (.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 (.f64 (.f64 #s(literal -707281/11664 binary64) x) x) (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal -707281/11664 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))
(-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (.f64 (neg.f64 (/.f64 (.f64 (.f64 #s(literal -707281/11664 binary64) x) x) (-.f64 (.f64 (.f64 #s(literal -707281/11664 binary64) x) x) #s(literal -16/841 binary64)))) (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (.f64 (neg.f64 (/.f64 (.f64 (.f64 #s(literal -707281/11664 binary64) x) x) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (-.f64 #s(literal 16/841 binary64) (.f64 x (-.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 29/27 binary64))))))
(-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (.f64 (neg.f64 x) (/.f64 (.f64 #s(literal -707281/11664 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))
(-.f64 (/.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 (.f64 x x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (.f64 (.f64 #s(literal -707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(-.f64 (.f64 (.f64 #s(literal -707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) (.f64 (neg.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (.f64 (.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)))) (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(-.f64 (.f64 (.f64 #s(literal -707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) (.f64 (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (-.f64 #s(literal 16/841 binary64) (.f64 x (-.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 29/27 binary64))))))
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+.f64 (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x)) (/.f64 (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (.f64 (.f64 (.f64 #s(literal -707281/11664 binary64) x) x) (/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))))
(+.f64 (.f64 (.f64 (.f64 #s(literal -707281/11664 binary64) x) x) (/.f64 (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x)) (/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x))) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (.f64 (*.f64 #s(literal -707281/11664 binary64) x) x)))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (.f64 (.f64 #s(literal -707281/11664 binary64) x) x)) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -707281/11664 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))) (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (+.f64 (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -707281/11664 binary64) x) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 4096/594823321 binary64) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal 841/729 binary64) (.f64 x x)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 6 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal 841/729 binary64) (*.f64 x x)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 6 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal 841/729 binary64) (.f64 x x)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal 4096/594823321 binary64) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal 841/729 binary64) (*.f64 x x)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(+.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal 841/729 binary64) (.f64 x x))))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal 841/729 binary64) (*.f64 x x))))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(+.f64 (/.f64 #s(literal 64/24389 binary64) (-.f64 #s(literal 16/841 binary64) (.f64 x (-.f64 (.f64 #s(literal -707281/11664 binary64) x) #s(literal 29/27 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 3 binary64)) (-.f64 #s(literal 16/841 binary64) (.f64 x (-.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 29/27 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 3 binary64)) (-.f64 #s(literal 16/841 binary64) (.f64 x (-.f64 (.f64 #s(literal -707281/11664 binary64) x) #s(literal 29/27 binary64))))) (/.f64 #s(literal 64/24389 binary64) (-.f64 #s(literal 16/841 binary64) (.f64 x (-.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 29/27 binary64))))))
(+.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (.f64 (.f64 #s(literal -707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(+.f64 (.f64 (.f64 #s(literal -707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))

eval97.0ms (1.9%)

Memory: 5.7MiB live, 102.3MiB allocated; 31ms collecting garbage
Compiler: Compiled 15 907 to 1 810 computations (88.6% saved)

prune17.0ms (0.3%)

Memory

33.2MiB live, 33.2MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	601	3	604
Fresh	0	1	1
Picked	2	3	5
Done	0	3	3
Total	603	10	613

Accuracy

100.0%

Counts

613 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.1%	(fma.f64 (.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)) x #s(approx (/ 16/841 (+ ( -841/108 x) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x)))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
	77.0%	(/.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (+ ( -841/108 x) 4/29) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)))
✓	24.7%	(/.f64 #s(approx (neg (+ (* 707281/11664 (* x x)) -16/841)) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
	24.7%	(/.f64 #s(approx (neg (+ (* 707281/11664 (* x x)) -16/841)) (.f64 (.f64 #s(literal -707281/11664 binary64) x) x)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
	53.7%	(/.f64 #s(approx (neg (+ (* 707281/11664 (* x x)) -16/841)) #s(literal 16/841 binary64)) #s(approx (+ (* -841/108 x) 4/29) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)))
✓	53.9%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
✓	23.4%	#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)))
✓	47.7%	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64))))
✓	47.8%	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))

Compiler

Compiled 583 to 265 computations (54.5% saved)

regimes59.0ms (1.2%)

Memory

-18.4MiB live, 28.4MiB allocated; 2ms collecting garbage

Counts

26 → 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))
(/.f64 #s(approx (neg (+ (* 707281/11664 (* x x)) -16/841)) (.f64 (.f64 #s(literal -707281/11664 binary64) x) x)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 #s(approx (neg (+ (* 707281/11664 (* x x)) -16/841)) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64))))
#s(approx (+ (* (sqrt (* x 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 #s(approx (neg (+ (* 707281/11664 (* x x)) -16/841)) #s(literal 16/841 binary64)) #s(approx (+ (* -841/108 x) 4/29) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 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 (sqrt.f64 (.f64 (.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(fma.f64 (.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)) x #s(approx (/ 16/841 (+ ( -841/108 x) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x)))
(/.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (+ ( -841/108 x) 4/29) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64))) #s(approx (+ ( -841/108 x) 4/29) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)))
(fma.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)) x (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
(-.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (.f64 (neg.f64 (.f64 #s(literal 707281/11664 binary64) x)) x) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
(+.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 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #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 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) #s(literal 256/707281 binary64)) (.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))))

Outputs

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

Calls

3 calls:

45.0ms	x
6.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
6.0ms	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))

Results

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

Compiler

Compiled 15 to 15 computations (0% saved)

regimes15.0ms (0.3%)

Memory

22.4MiB live, 22.4MiB allocated; 0ms collecting garbage

Counts

18 → 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))
(/.f64 #s(approx (neg (+ (* 707281/11664 (* x x)) -16/841)) (.f64 (.f64 #s(literal -707281/11664 binary64) x) x)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 #s(approx (neg (+ (* 707281/11664 (* x x)) -16/841)) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64))))
#s(approx (+ (* (sqrt (* x 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 #s(approx (neg (+ (* 707281/11664 (* x x)) -16/841)) #s(literal 16/841 binary64)) #s(approx (+ (* -841/108 x) 4/29) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 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 (sqrt.f64 (.f64 (.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(fma.f64 (.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)) x #s(approx (/ 16/841 (+ ( -841/108 x) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x)))
(/.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (+ ( -841/108 x) 4/29) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64))) #s(approx (+ ( -841/108 x) 4/29) (*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)))

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

Calls

3 calls:

5.0ms	x
5.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
4.0ms	(+.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	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) 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	`x`

Compiler

Compiled 15 to 15 computations (0% saved)

regimes32.0ms (0.6%)

Memory

-36.0MiB live, 8.0MiB allocated; 5ms collecting garbage

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:

29.0ms	x
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)))

Results

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

Compiler

Compiled 15 to 15 computations (0% saved)

regimes3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

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

Results

Accuracy	Segments	Branch
53.9%	1	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`
53.9%	1	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
53.9%	1	`x`

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch55.0ms (1.1%)

Memory

-15.9MiB live, 38.5MiB allocated; 8ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0011941623377177601	374538.72953674983
12.0ms	-1125.7824294275438	-5.627203128924076e-7

Samples

13.0ms

288×

valid

Compiler

Compiled 480 to 427 computations (11% saved)

Precisions

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

ival-div: 4.0ms (52.3% of total)

ival-mult: 2.0ms (26.2% of total)

ival-add: 1.0ms (13.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify12.0ms (0.2%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	52
1	44	52
2	66	52
3	91	52
4	103	52

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)) x (/.f64 #s(literal 16/841 binary64) (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))
(if (<=.f64 x #s(literal -5188146770730811/288230376151711744 binary64)) #s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 x #s(literal 1224979098644775/72057594037927936 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 (*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)) x (/.f64 #s(literal 16/841 binary64) (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))
(if (<=.f64 x #s(literal -5188146770730811/288230376151711744 binary64)) #s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 x #s(literal 1224979098644775/72057594037927936 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 x #s(literal -5188146770730811/288230376151711744 binary64)) (not (<=.f64 x #s(literal 1224979098644775/72057594037927936 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))

derivations482.0ms (9.5%)

Memory

5.1MiB live, 326.8MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	281
1	401	269
2	1111	262
3	3156	258
4	7869	258
0	8167	243
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	30	120
0	46	78
1	161	78
2	921	75
0	10436	75
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×	iter limit
1×	saturated
1×	iter limit
1×	node limit

Compiler

Compiled 64 to 30 computations (53.1% saved)

preprocess77.0ms (1.5%)

Memory: 34.4MiB live, 92.4MiB allocated; 31ms collecting garbage
Compiler: Compiled 146 to 78 computations (46.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

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	30	158
0	46	135
1	76	135
2	170	135
3	355	135
4	576	135
5	692	135
6	718	135
7	728	135
8	739	135
9	740	135
0	740	125

Iter	Nodes	Cost
0	30	139
0	52	137
1	88	134
2	195	126
3	441	126
4	765	126
5	938	126
6	952	126
7	959	126
8	959	126
0	959	121

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	30	158
0	46	135
1	76	135
2	170	135
3	355	135
4	576	135
5	692	135
6	718	135
7	728	135
8	739	135
9	740	135
0	740	125

Iter	Nodes	Cost
0	30	139
0	52	137
1	88	134
2	195	126
3	441	126
4	765	126
5	938	126
6	952	126
7	959	126
8	959	126
0	959	121

start0.0ms (0%)

analyze0.0ms (0%)

sample940.0ms (18.6%)

explain174.0ms (3.5%)

preprocess27.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize23.0ms (0.4%)

series2.0ms (0%)

simplify10.0ms (0.2%)

rewrite251.0ms (5%)

eval32.0ms (0.6%)

prune32.0ms (0.6%)

simplify31.0ms (0.6%)

localize167.0ms (3.3%)

series59.0ms (1.2%)

simplify134.0ms (2.6%)

rewrite404.0ms (8%)

eval173.0ms (3.4%)

prune22.0ms (0.4%)

simplify38.0ms (0.8%)

localize126.0ms (2.5%)

series13.0ms (0.3%)

simplify247.0ms (4.9%)

rewrite368.0ms (7.3%)

eval160.0ms (3.2%)

prune145.0ms (2.9%)

simplify65.0ms (1.3%)

localize115.0ms (2.3%)

series11.0ms (0.2%)

simplify163.0ms (3.2%)

rewrite273.0ms (5.4%)

eval97.0ms (1.9%)

prune17.0ms (0.3%)

regimes59.0ms (1.2%)

regimes15.0ms (0.3%)

regimes32.0ms (0.6%)

regimes3.0ms (0.1%)

bsearch55.0ms (1.1%)

simplify12.0ms (0.2%)

derivations482.0ms (9.5%)

preprocess77.0ms (1.5%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	30	158
0	46	135
1	76	135
2	170	135
3	355	135
4	576	135
5	692	135
6	718	135
7	728	135
8	739	135
9	740	135
0	740	125

Iter	Nodes	Cost
0	30	139
0	52	137
1	88	134
2	195	126
3	441	126
4	765	126
5	938	126
6	952	126
7	959	126
8	959	126
0	959	121