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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 11 computations (0% saved)

sample1.4s (25.7%)

Memory

48.7MiB live, 1 315.7MiB allocated

Samples

985.0ms	8 251×	0	valid
1.0ms	1×	2	valid
0.0ms	4×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 488.0ms

ival-div: 354.0ms (72.6% of total)

ival-mult: 56.0ms (11.5% of total)

ival-add: 41.0ms (8.4% of total)

ival-true: 18.0ms (3.7% of total)

exact: 15.0ms (3.1% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

explain233.0ms (4.3%)

Memory

-1.2MiB live, 230.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

35.0ms

512×

valid

Compiler

Compiled 63 to 31 computations (50.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 11.0ms (60.7% of total)

ival-mult: 3.0ms (16.5% of total)

ival-add: 2.0ms (11% of total)

exact: 1.0ms (5.5% of total)

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

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

preprocess18.0ms (0.3%)

Memory

-10.4MiB live, 34.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 9 computations (0% saved)

simplify4.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize47.0ms (0.9%)

Memory

-27.1MiB live, 38.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
accuracy	0.0	(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
accuracy	0.0078125	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
accuracy	0.171875	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)

Samples

41.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 5.0ms (55.8% of total)

ival-add: 2.0ms (22.3% of total)

ival-mult: 2.0ms (22.3% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

simplify11.0ms (0.2%)

Memory

18.5MiB live, 18.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

4 → 4

Calls

Call 1

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

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

rewrite192.0ms (3.5%)

Memory

0.6MiB live, 276.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 174

Calls

Call 1

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

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

eval22.0ms (0.4%)

Memory: -8.4MiB live, 37.0MiB allocated
Compiler: Compiled 5 013 to 600 computations (88% saved)

prune7.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

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

Accuracy

100.0%

Counts

178 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.1%	(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))
▶	51.0%	(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))
	51.0%	(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
▶	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	80.6%	(/.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))))
▶	99.6%	(-.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))))
	80.5%	(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
▶	52.8%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Compiler

Compiled 204 to 142 computations (30.4% saved)

simplify155.0ms (2.8%)

Memory

-19.0MiB live, 40.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	161
0	49	128
1	92	128
2	231	128
3	714	128
4	1815	128
5	2942	128
6	3127	128
7	3201	128
8	3212	128
9	3222	128
10	3223	128
11	3311	128
12	3321	128
13	3321	128
14	3321	128
15	3321	128
0	3321	124

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

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

localize101.0ms (1.9%)

Memory

20.1MiB live, 110.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(*.f64 x #s(literal 841/108 binary64))
accuracy	0.08984375	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	0.14519501953688405	(/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
accuracy	0.15234375	(.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
accuracy	0.015625	(-.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)))
accuracy	0.08203125	(*.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64))
accuracy	0.15625	(.f64 (.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)))
accuracy	5.207701934906938	(/.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))))
accuracy	0.0546875	(sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))
accuracy	0.08203125	(*.f64 x #s(literal 841/108 binary64))
accuracy	0.109375	(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	14.786293284563497	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
accuracy	0.03515625	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))

Samples

52.0ms	125×	0	invalid
29.0ms	128×	0	valid
2.0ms	2×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 167 to 33 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

const: 34.0ms (50.2% of total)

ival-mult: 13.0ms (19.2% of total)

ival-div: 8.0ms (11.8% of total)

ival-sub: 4.0ms (5.9% of total)

ival-add: 3.0ms (4.4% of total)

ival-sqrt: 2.0ms (3% of total)

ival-neg: 2.0ms (3% of total)

adjust: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.4%)

Memory

-24.1MiB live, 21.6MiB allocated

Counts

16 → 49

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

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

Calls

3 calls:

Time	Variable		Point	Expression
11.0ms	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) (* (* (neg (neg x)) 841/108) (* (neg (neg x)) 841/108)) (neg (neg x)) (- 16/841 (* (* (neg (neg x)) 841/108) (* (neg (neg x)) 841/108))) (- 4/29 (* (neg (neg x)) 841/108)) (- (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (/ 16/841 (- (* x 841/108) 4/29))) (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (* 707281/11664 x) (/ x (- (* x 841/108) 4/29)) (/ (- 16/841 (* (* (neg (neg x)) 841/108) (* (neg (neg x)) 841/108))) (- 4/29 (* (neg (neg x)) 841/108))) (* (neg (neg x)) 841/108) (/ 16/841 (- (* x 841/108) 4/29)))
4.0ms	x	@	0	((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (sqrt (* x 841/108)) (* x 841/108) (* (* (neg (neg x)) 841/108) (* (neg (neg x)) 841/108)) (neg (neg x)) (- 16/841 (* (* (neg (neg x)) 841/108) (* (neg (neg x)) 841/108))) (- 4/29 (* (neg (neg x)) 841/108)) (- (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (/ 16/841 (- (* x 841/108) 4/29))) (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (* 707281/11664 x) (/ x (- (* x 841/108) 4/29)) (/ (- 16/841 (* (* (neg (neg x)) 841/108) (* (neg (neg x)) 841/108))) (- 4/29 (* (neg (neg x)) 841/108))) (* (neg (neg x)) 841/108) (/ 16/841 (- (* x 841/108) 4/29)))
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) (* (* (neg (neg x)) 841/108) (* (neg (neg x)) 841/108)) (neg (neg x)) (- 16/841 (* (* (neg (neg x)) 841/108) (* (neg (neg x)) 841/108))) (- 4/29 (* (neg (neg x)) 841/108)) (- (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (/ 16/841 (- (* x 841/108) 4/29))) (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (* 707281/11664 x) (/ x (- (* x 841/108) 4/29)) (/ (- 16/841 (* (* (neg (neg x)) 841/108) (* (neg (neg x)) 841/108))) (- 4/29 (* (neg (neg x)) 841/108))) (* (neg (neg x)) 841/108) (/ 16/841 (- (* x 841/108) 4/29)))

Time

Variable

Point

Expression

11.0ms

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

4.0ms

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

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

simplify129.0ms (2.4%)

Memory

33.0MiB live, 214.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	399
1	467	383
2	1138	372
3	3111	363
0	8328	352

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

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

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

rewrite704.0ms (12.9%)

Memory

-3.0MiB live, 255.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	135
0	49	77
1	185	77
2	1065	77
0	9115	76

Stop Event

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

Counts

16 → 1 501

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

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

eval101.0ms (1.8%)

Memory: -0.6MiB live, 223.1MiB allocated
Compiler: Compiled 20 799 to 2 257 computations (89.1% saved)

prune12.0ms (0.2%)

Memory

-0.6MiB live, 45.3MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	763	3	766
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	768	6	774

Accuracy

100.0%

Counts

774 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
▶	51.0%	(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	98.1%	(-.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
✓	52.8%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
▶	49.1%	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))

Compiler

Compiled 67 to 56 computations (16.4% saved)

simplify13.0ms (0.2%)

Memory

-24.2MiB live, 22.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	124
0	43	118
1	60	118
2	105	115
3	156	115
4	201	115
5	216	115
6	244	115
7	273	115
8	290	115
9	292	115
10	296	115
11	299	115
0	299	113

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize252.0ms (4.6%)

Memory

12.8MiB live, 116.2MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 #s(literal 841/108 binary64))
accuracy	0.07421875	(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
accuracy	0.10546875	(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
accuracy	0.0	(sqrt.f64 x)
accuracy	0.04296875	(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	0.08984375	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	0.14519501953688405	(/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
accuracy	0.15234375	(.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64)))
accuracy	17.01934678750543	#s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64))
accuracy	0.08203125	(*.f64 #s(literal 841/108 binary64) x)
accuracy	16.46286166417218	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))

Samples

206.0ms	128×	0	valid
28.0ms	125×	0	invalid
1.0ms	2×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 118 to 27 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 222.0ms

const: 180.0ms (81.2% of total)

ival-sqrt: 19.0ms (8.6% of total)

ival-mult: 13.0ms (5.9% of total)

ival-div: 4.0ms (1.8% of total)

ival-add: 3.0ms (1.4% of total)

ival-sub: 2.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

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

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

series8.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

13 → 45

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify194.0ms (3.6%)

Memory

-13.8MiB live, 140.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	408
1	473	365
2	1183	352
3	3170	342
0	8295	333

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 45

Calls

Call 1

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

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

rewrite149.0ms (2.7%)

Memory

-15.3MiB live, 178.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	99
0	43	93
1	130	87
2	851	87
0	8928	83

Stop Event

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

Counts

13 → 689

Calls

Call 1

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

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

eval245.0ms (4.5%)

Memory: 31.7MiB live, 123.0MiB allocated
Compiler: Compiled 16 076 to 1 505 computations (90.6% saved)

prune16.0ms (0.3%)

Memory

-13.1MiB live, 30.5MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	560	4	564
Fresh	0	0	0
Picked	1	3	4
Done	0	2	2
Total	561	9	570

Accuracy

100.0%

Counts

570 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
✓	51.0%	(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	78.9%	(/.f64 (neg.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)))
▶	99.7%	(-.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64))) #s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64)))
✓	52.8%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
▶	48.9%	#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))))
✓	49.1%	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))
▶	18.8%	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (sqrt.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) x)))

Compiler

Compiled 118 to 88 computations (25.4% saved)

simplify138.0ms (2.5%)

Memory

-29.1MiB live, 24.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	166
0	44	154
1	70	154
2	133	146
3	254	146
4	481	146
5	825	146
6	990	146
7	1027	146
8	1055	146
9	1057	146
10	1059	146
11	1061	146
0	1061	142

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize196.0ms (3.6%)

Memory

43.4MiB live, 134.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.03125	(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64))
accuracy	0.03515625	(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
accuracy	0.08984375	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	5.211608184906938	(/.f64 (neg.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	0.08984375	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	0.15234375	(.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64)))
accuracy	15.287868091799051	#s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64))
accuracy	17.01934678750543	#s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64))
accuracy	0.0	(sqrt.f64 #s(literal 841/108 binary64))
accuracy	0.10546875	(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
accuracy	0.13671875	(.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)))
accuracy	16.46286166417218	#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	0.05859375	(.f64 (.f64 #s(literal 707281/11664 binary64) x) x)
accuracy	0.08984375	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	12.038688658660142	(sqrt.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) x))
accuracy	16.46286166417218	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (sqrt.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) x)))

Samples

139.0ms	125×	0	invalid
32.0ms	128×	0	valid
1.0ms	2×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 148 to 30 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

const: 128.0ms (80.7% of total)

ival-mult: 13.0ms (8.2% of total)

ival-div: 6.0ms (3.8% of total)

ival-sqrt: 5.0ms (3.2% of total)

ival-add: 4.0ms (2.5% of total)

ival-sub: 2.0ms (1.3% of total)

ival-neg: 1.0ms (0.6% of total)

adjust: 0.0ms (0% of total)

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

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

series21.0ms (0.4%)

Memory

-27.1MiB live, 19.3MiB allocated

Counts

16 → 57

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

13.0ms

inf

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

4.0ms

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

3.0ms

-inf

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

simplify134.0ms (2.5%)

Memory

14.2MiB live, 152.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	225	516
1	585	472
2	1455	459
3	4073	450
0	8492	430

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 57

Calls

Call 1

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

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 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 (pow (sqrt 841/108) 2))
(*.f64 #s(literal 841/108 binary64) x)
(* x (sqrt 841/108))
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* -20511149/46656 (pow x 2))
(.f64 (.f64 #s(literal -20511149/46656 binary64) x) x)
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656))
(.f64 (.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x) x)
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -12200509765705829/8707129344 binary64) x) #s(literal 500246412961/20155392 binary64)) x) #s(literal 20511149/46656 binary64)) x) x)
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -297558232675799463481/3761479876608 binary64) x) #s(literal 12200509765705829/8707129344 binary64)) x) #s(literal 500246412961/20155392 binary64)) x) #s(literal 20511149/46656 binary64)) x) x)
(* -29/4 x)
(*.f64 #s(literal -29/4 binary64) x)
(* x (- (* -707281/1728 x) 29/4))
(.f64 (-.f64 (.f64 #s(literal -707281/1728 binary64) x) #s(literal 29/4 binary64)) x)
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -17249876309/746496 binary64) x) #s(literal 707281/1728 binary64)) x) #s(literal 29/4 binary64)) x)
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -420707233300201/322486272 binary64) x) #s(literal 17249876309/746496 binary64)) x) #s(literal 707281/1728 binary64)) x) #s(literal 29/4 binary64)) x)
-16/841
#s(literal -16/841 binary64)
(- (* -707281/11664 (pow x 2)) 16/841)
(fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal -16/841 binary64))
(+ 4/29 (* -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
#s(literal 16/841 binary64)
(+ 16/841 (* 707281/11664 (pow x 2)))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64))
-4/29
#s(literal -4/29 binary64)
(- (* -841/108 x) 4/29)
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
(- (* x (- (* -20511149/46656 x) 841/108)) 4/29)
(-.f64 (.f64 (-.f64 (.f64 #s(literal -20511149/46656 binary64) x) #s(literal 841/108 binary64)) x) #s(literal 4/29 binary64))
(- (* x (- (* x (- (* -500246412961/20155392 x) 20511149/46656)) 841/108)) 4/29)
(-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.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 (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))
(-.f64 (/.f64 #s(literal 1728/707281 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))
(fma.f64 (+.f64 #s(literal 841/108 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal 1728/707281 binary64)) x) x)) x #s(literal 4/29 binary64))
108/841
#s(literal 108/841 binary64)
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 (/.f64 #s(literal 46656/20511149 binary64) x) #s(literal 108/841 binary64))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal 46656/20511149 binary64)) x) #s(literal 108/841 binary64))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
(-.f64 #s(literal 108/841 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x) #s(literal 46656/20511149 binary64)) x))
(* -707281/11664 (pow x 2))
(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
(* -1 (* (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 x (+.f64 #s(literal 841/108 binary64) (/.f64 (+.f64 #s(literal 3456/707281 binary64) (/.f64 #s(literal -1492992/17249876309 binary64) x)) (*.f64 x x))) #s(literal -4/29 binary64))
(* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64))
(/ 1728/707281 x)
(/.f64 #s(literal 1728/707281 binary64) x)
(/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal 1728/707281 binary64)) x)
(/ (+ 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)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3)))))) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal 322486272/420707233300201 binary64)) x) #s(literal 746496/17249876309 binary64)) x) #s(literal 1728/707281 binary64)) x)
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* -1 (* x (+ 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
(* -1 (* x (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 (- (* -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)))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
(-.f64 #s(literal 108/841 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x) #s(literal 46656/20511149 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)) (neg.f64 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 (fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal 1492992/17249876309 binary64) x) #s(literal 3456/707281 binary64)) #s(literal -4/29 binary64)) (neg.f64 x)) #s(literal 841/108 binary64)))
(* -1 (/ (- (* -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 (/ (- (* -1 (/ (+ 746496/17249876309 (+ (/ 139314069504/10260628712958602189 (pow x 2)) (* 322486272/420707233300201 (/ 1 x)))) x)) 1728/707281) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal 322486272/420707233300201 binary64)) x) #s(literal 746496/17249876309 binary64)) x) #s(literal 1728/707281 binary64)) x)

rewrite207.0ms (3.8%)

Memory

4.9MiB live, 249.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	147
0	44	133
1	146	121
2	929	114
0	8970	110

Stop Event

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

Counts

16 → 1 049

Calls

Call 1

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

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

eval144.0ms (2.6%)

Memory: 2.2MiB live, 239.0MiB allocated
Compiler: Compiled 32 309 to 2 835 computations (91.2% saved)

prune22.0ms (0.4%)

Memory

18.4MiB live, 62.6MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	1 092	2	1 094
Fresh	0	0	0
Picked	1	3	4
Done	1	4	5
Total	1 094	9	1 103

Accuracy

100.0%

Counts

1 103 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.0%	(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
	80.5%	(/.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)))
	29.9%	(/.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)))
✓	99.7%	(-.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64))) #s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64)))
✓	52.8%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
✓	48.9%	#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))))
✓	49.1%	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))
✓	18.8%	#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (sqrt.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) x)))

Compiler

Compiled 385 to 191 computations (50.4% saved)

regimes16.0ms (0.3%)

Memory

-26.6MiB live, 20.2MiB allocated

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

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

Calls

3 calls:

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

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)

regimes4.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.3%	3	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`
98.3%	3	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
98.3%	3	`x`

Compiler

Compiled 15 to 15 computations (0% saved)

regimes3.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
1.0ms	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
52.8%	1	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`
52.8%	1	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
52.8%	1	`x`

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch59.0ms (1.1%)

Memory

-9.1MiB live, 37.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	2.4693585350989088e-8	18946671.756132536
12.0ms	-441.60792735669696	-0.002793552294091778

Samples

44.0ms

304×

valid

Compiler

Compiled 506 to 450 computations (11.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 33.0ms (88% of total)

ival-mult: 2.0ms (5.3% of total)

ival-add: 1.0ms (2.7% of total)

exact: 1.0ms (2.7% of total)

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

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

simplify11.0ms (0.2%)

Memory

19.4MiB live, 19.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	36
1	36	36
2	58	36
3	82	36
4	94	36

Stop Event

1×

saturated

Calls

Call 1

Inputs

(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 5188146770730811/288230376151711744 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))))

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

Outputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(if (<=.f64 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 5188146770730811/288230376151711744 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 5188146770730811/288230376151711744 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))

soundness348.0ms (6.4%)

Memory

-16.1MiB live, 227.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	399
1	467	383
2	1138	372
3	3111	363
0	8328	352
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	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×	saturated
1×	iter limit
1×	node limit

Compiler

Compiled 139 to 63 computations (54.7% saved)

preprocess112.0ms (2.1%)

Memory: -19.3MiB live, 27.6MiB allocated
Compiler: Compiled 114 to 62 computations (45.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	27	124
0	43	118
1	60	118
2	105	115
3	156	115
4	201	115
5	216	115
6	244	115
7	273	115
8	290	115
9	292	115
10	296	115
11	299	115
0	299	113

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	27	124
0	43	118
1	60	118
2	105	115
3	156	115
4	201	115
5	216	115
6	244	115
7	273	115
8	290	115
9	292	115
10	296	115
11	299	115
0	299	113

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (25.7%)

explain233.0ms (4.3%)

preprocess18.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize47.0ms (0.9%)

series2.0ms (0%)

simplify11.0ms (0.2%)

rewrite192.0ms (3.5%)

eval22.0ms (0.4%)

prune7.0ms (0.1%)

simplify155.0ms (2.8%)

localize101.0ms (1.9%)

series20.0ms (0.4%)

simplify129.0ms (2.4%)

rewrite704.0ms (12.9%)

eval101.0ms (1.8%)

prune12.0ms (0.2%)

simplify13.0ms (0.2%)

localize252.0ms (4.6%)

series8.0ms (0.1%)

simplify194.0ms (3.6%)

rewrite149.0ms (2.7%)

eval245.0ms (4.5%)

prune16.0ms (0.3%)

simplify138.0ms (2.5%)

localize196.0ms (3.6%)

series21.0ms (0.4%)

simplify134.0ms (2.5%)

rewrite207.0ms (3.8%)

eval144.0ms (2.6%)

prune22.0ms (0.4%)

regimes16.0ms (0.3%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch59.0ms (1.1%)

simplify11.0ms (0.2%)

soundness348.0ms (6.4%)

preprocess112.0ms (2.1%)

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	27	124
0	43	118
1	60	118
2	105	115
3	156	115
4	201	115
5	216	115
6	244	115
7	273	115
8	290	115
9	292	115
10	296	115
11	299	115
0	299	113