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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 11 computations (0% saved)

sample1.0s (24.1%)

Memory

-3.7MiB live, 1 224.3MiB allocated

Samples

705.0ms	8 252×	0	valid
0.0ms	3×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 498.0ms

ival-div: 262.0ms (52.6% of total)

ival-mult: 176.0ms (35.4% of total)

ival-add: 37.0ms (7.4% of total)

exact: 14.0ms (2.8% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain156.0ms (3.6%)

Memory

-9.8MiB live, 188.2MiB 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

28.0ms

512×

valid

Compiler

Compiled 63 to 31 computations (50.8% saved)

Precisions

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

ival-div: 8.0ms (54.4% of total)

ival-mult: 3.0ms (20.4% of total)

ival-add: 2.0ms (13.6% of total)

exact: 1.0ms (6.8% of total)

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

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

preprocess14.0ms (0.3%)

Memory

31.6MiB live, 31.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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

7.4MiB live, 7.4MiB 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)

localize26.0ms (0.6%)

Memory

-1.5MiB live, 50.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
accuracy	0.0	(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
accuracy	0.00390625	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
accuracy	0.1328125	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)

Samples

19.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 8.0ms (69.4% of total)

ival-mult: 2.0ms (17.3% of total)

ival-add: 1.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

2.1MiB live, 2.1MiB 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 (0.3%)

Memory

-39.5MiB live, 7.8MiB 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))

rewrite332.0ms (7.7%)

Memory

28.8MiB live, 221.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 174

Calls

Call 1

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

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

eval21.0ms (0.5%)

Memory: 1.1MiB live, 46.5MiB allocated
Compiler: Compiled 5 013 to 600 computations (88% saved)

prune7.0ms (0.2%)

Memory

-28.0MiB live, 18.3MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	171	6	177
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	172	6	178

Accuracy

100.0%

Counts

178 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.7%	(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))
▶	44.5%	(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
▶	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
	98.4%	(-.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))))
▶	74.7%	(+.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)))))
▶	46.4%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Compiler

Compiled 142 to 108 computations (23.9% saved)

simplify21.0ms (0.5%)

Memory

33.2MiB live, 33.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize102.0ms (2.4%)

Memory

-16.3MiB live, 168.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(*.f64 x #s(literal 841/108 binary64))
accuracy	0.08867359264898864	(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
accuracy	0.29127569702031114	(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
accuracy	7.205976016035948	(/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
accuracy	0.0	(sqrt.f64 #s(literal 841/108 binary64))
accuracy	0.05078125	(fma.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
accuracy	0.078125	(.f64 (.f64 x x) #s(literal 841/108 binary64))
accuracy	12.523843855134514	(sqrt.f64 (.f64 (.f64 x x) #s(literal 841/108 binary64)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.06640625	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	0.08203125	(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
accuracy	0.5624740131085122	(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x))
accuracy	14.302705767107526	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
accuracy	0.0234375	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))

Samples

41.0ms	141×	0	invalid
32.0ms	115×	0	valid

Compiler

Compiled 129 to 34 computations (73.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

const: 15.0ms (31.3% of total)

ival-mult: 12.0ms (25% of total)

ival-sqrt: 7.0ms (14.6% of total)

ival-div: 6.0ms (12.5% of total)

ival-add: 5.0ms (10.4% of total)

ival-sub: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

17 → 41

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* 707281/11664 x)) (sqrt x)) 4/29) (sqrt (* 707281/11664 x)) (* 707281/11664 x) (sqrt x) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt (* (* x x) 841/108)) (* (* x x) 841/108) (* x x) (+ (/ 16/841 (- 4/29 (* x 841/108))) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108)))) (- 4/29 (* x 841/108)) (/ 16/841 (- 4/29 (* x 841/108))) (* x 841/108) (sqrt 841/108) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* -707281/11664 (* x x)))
4.0ms	x	@	-inf	((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* 707281/11664 x)) (sqrt x)) 4/29) (sqrt (* 707281/11664 x)) (* 707281/11664 x) (sqrt x) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt (* (* x x) 841/108)) (* (* x x) 841/108) (* x x) (+ (/ 16/841 (- 4/29 (* x 841/108))) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108)))) (- 4/29 (* x 841/108)) (/ 16/841 (- 4/29 (* x 841/108))) (* x 841/108) (sqrt 841/108) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* -707281/11664 (* x x)))
4.0ms	x	@	0	((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* 707281/11664 x)) (sqrt x)) 4/29) (sqrt (* 707281/11664 x)) (* 707281/11664 x) (sqrt x) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt (* (* x x) 841/108)) (* (* x x) 841/108) (* x x) (+ (/ 16/841 (- 4/29 (* x 841/108))) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108)))) (- 4/29 (* x 841/108)) (/ 16/841 (- 4/29 (* x 841/108))) (* x 841/108) (sqrt 841/108) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* -707281/11664 (* x x)))

Time

Variable

Point

Expression

5.0ms

inf

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

4.0ms

-inf

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

4.0ms

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

simplify130.0ms (3%)

Memory

-23.7MiB live, 121.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 41

Calls

Call 1

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

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

rewrite241.0ms (5.6%)

Memory

6.3MiB live, 343.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Counts

17 → 1 899

Calls

Call 1

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

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

eval211.0ms (4.9%)

Memory: 3.4MiB live, 142.3MiB allocated
Compiler: Compiled 23 346 to 2 094 computations (91% saved)

prune14.0ms (0.3%)

Memory

-8.2MiB live, 38.9MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	779	4	783
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	783	6	789

Accuracy

100.0%

Counts

789 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
▶	98.3%	(fma.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))) #s(literal -707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	74.7%	(/.f64 (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
✓	46.4%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
▶	56.0%	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))

Compiler

Compiled 65 to 54 computations (16.9% saved)

simplify56.0ms (1.3%)

Memory

-2.8MiB live, 43.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	116
0	44	116
1	73	116
2	163	113
3	402	113
4	802	112
5	1071	112
6	1154	108
7	1184	108
8	1198	108
9	1211	108
10	1212	108
0	1212	106

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize94.0ms (2.2%)

Memory

22.4MiB live, 117.1MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 #s(literal 841/108 binary64))
accuracy	0.1484375	(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
accuracy	0.17578125	(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
accuracy	0.17578125	(fma.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))) #s(literal -707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
accuracy	0.2109375	(*.f64 x (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))
accuracy	0.5741749384226456	(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))
accuracy	0.6413002238808925	(/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.07421875	(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
accuracy	0.0859375	(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
accuracy	16.159811413052914	(/.f64 (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy	0.1328125	(*.f64 #s(literal 841/108 binary64) x)
accuracy	47.92588648197048	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))

Samples

78.0ms	254×	0	valid
1.0ms	1×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 127 to 30 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

const: 27.0ms (41.6% of total)

ival-mult: 23.0ms (35.5% of total)

ival-add: 7.0ms (10.8% of total)

ival-div: 5.0ms (7.7% of total)

ival-sqrt: 3.0ms (4.6% of total)

adjust: 0.0ms (0% of total)

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

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

series9.0ms (0.2%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

14 → 60

Calls

Call 1

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

Outputs
4/29
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* 841/108 x)
(+ 4/29 (* 841/108 x))
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(pow x 2)
(+ 4/29 (* -841/108 x))
(+ 4/29 (* x (+ 841/108 (* 20511149/23328 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/23328 (* 12200509765705829/4353564672 (pow x 2)))))))
(* -29/4 (pow x 2))
(* (pow x 2) (- (* 707281/1728 x) 29/4))
(* (pow x 2) (- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4))
(* (pow x 2) (- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4))
(* -29/4 x)
(* x (- (* 707281/1728 x) 29/4))
(* x (- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4))
(* x (- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4))
-4/29
(- (* -841/108 x) 4/29)
(* x (sqrt 841/108))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(* x (pow (sqrt 841/108) 2))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* -1 (/ (+ 4/29 (* 1492992/17249876309 (/ 1 (pow x 2)))) x))))
(* x (- (+ 841/108 (* -1 (/ (+ 1492992/17249876309 (* 278628139008/10260628712958602189 (/ 1 (pow x 2)))) (pow x 3)))) (* 4/29 (/ 1 x))))
(* -108/841 x)
(* x (- (* 46656/20511149 (/ 1 x)) 108/841))
(* x (- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))))
(* x (- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))))
-108/841
(- (* 46656/20511149 (/ 1 x)) 108/841)
(- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2))))
(- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2))))
(* -1 (* x (+ 841/108 (* 4/29 (/ 1 x)))))
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(* -1 (* x (pow (sqrt 841/108) 2)))
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 4/29 (/ 1 x))) 841/108)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1492992/17249876309 (* 278628139008/10260628712958602189 (/ 1 (pow x 2)))) (pow x 2))) 4/29) x)) 841/108)))
(* -1 (* x (- 108/841 (* 46656/20511149 (/ 1 x)))))
(* -1 (* x (+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)))))
(* -1 (* x (+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x)))))
(- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841)
(- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841)
(* -1 (* x (- (* -1 (pow (sqrt 841/108) 2)) (* 4/29 (/ 1 x)))))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify125.0ms (2.9%)

Memory

-1.1MiB live, 133.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	213	550
1	658	507
2	1896	482
3	5890	475
0	8340	443

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
4/29
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* 841/108 x)
(+ 4/29 (* 841/108 x))
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(pow x 2)
(+ 4/29 (* -841/108 x))
(+ 4/29 (* x (+ 841/108 (* 20511149/23328 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/23328 (* 12200509765705829/4353564672 (pow x 2)))))))
(* -29/4 (pow x 2))
(* (pow x 2) (- (* 707281/1728 x) 29/4))
(* (pow x 2) (- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4))
(* (pow x 2) (- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4))
(* -29/4 x)
(* x (- (* 707281/1728 x) 29/4))
(* x (- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4))
(* x (- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4))
-4/29
(- (* -841/108 x) 4/29)
(* x (sqrt 841/108))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(* x (pow (sqrt 841/108) 2))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* -1 (/ (+ 4/29 (* 1492992/17249876309 (/ 1 (pow x 2)))) x))))
(* x (- (+ 841/108 (* -1 (/ (+ 1492992/17249876309 (* 278628139008/10260628712958602189 (/ 1 (pow x 2)))) (pow x 3)))) (* 4/29 (/ 1 x))))
(* -108/841 x)
(* x (- (* 46656/20511149 (/ 1 x)) 108/841))
(* x (- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))))
(* x (- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))))
-108/841
(- (* 46656/20511149 (/ 1 x)) 108/841)
(- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2))))
(- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2))))
(* -1 (* x (+ 841/108 (* 4/29 (/ 1 x)))))
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(* -1 (* x (pow (sqrt 841/108) 2)))
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 4/29 (/ 1 x))) 841/108)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1492992/17249876309 (* 278628139008/10260628712958602189 (/ 1 (pow x 2)))) (pow x 2))) 4/29) x)) 841/108)))
(* -1 (* x (- 108/841 (* 46656/20511149 (/ 1 x)))))
(* -1 (* x (+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)))))
(* -1 (* x (+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x)))))
(- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841)
(- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841)
(* -1 (* x (- (* -1 (pow (sqrt 841/108) 2)) (* 4/29 (/ 1 x)))))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(pow x 2)
(*.f64 x x)
(+ 4/29 (* -841/108 x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* 20511149/23328 x))))
(fma.f64 (fma.f64 #s(literal 20511149/23328 binary64) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/23328 (* 12200509765705829/4353564672 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 12200509765705829/4353564672 binary64) (*.f64 x x) #s(literal 20511149/23328 binary64)) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(* -29/4 (pow x 2))
(.f64 #s(literal -29/4 binary64) (.f64 x x))
(* (pow x 2) (- (* 707281/1728 x) 29/4))
(.f64 (.f64 (-.f64 (*.f64 #s(literal 707281/1728 binary64) x) #s(literal 29/4 binary64)) x) x)
(* (pow x 2) (- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4))
(.f64 (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -17249876309/746496 binary64) x #s(literal 707281/1728 binary64)) x) #s(literal 29/4 binary64)) x) x)
(* (pow x 2) (- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4))
(.f64 (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 420707233300201/322486272 binary64) x) #s(literal 17249876309/746496 binary64)) x #s(literal 707281/1728 binary64)) x) #s(literal 29/4 binary64)) x) x)
(* -29/4 x)
(*.f64 #s(literal -29/4 binary64) x)
(* x (- (* 707281/1728 x) 29/4))
(.f64 (-.f64 (.f64 #s(literal 707281/1728 binary64) x) #s(literal 29/4 binary64)) x)
(* x (- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4))
(.f64 (-.f64 (.f64 (fma.f64 #s(literal -17249876309/746496 binary64) x #s(literal 707281/1728 binary64)) x) #s(literal 29/4 binary64)) x)
(* x (- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4))
(.f64 (-.f64 (.f64 (fma.f64 (-.f64 (*.f64 #s(literal 420707233300201/322486272 binary64) x) #s(literal 17249876309/746496 binary64)) x #s(literal 707281/1728 binary64)) x) #s(literal 29/4 binary64)) x)
-4/29
#s(literal -4/29 binary64)
(- (* -841/108 x) 4/29)
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
(* x (sqrt 841/108))
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(* x (pow (sqrt 841/108) 2))
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 16/841 binary64) (*.f64 x x)) #s(literal 707281/11664 binary64)) x) x)
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* x (+ 841/108 (* -1 (/ (+ 4/29 (* 1492992/17249876309 (/ 1 (pow x 2)))) x))))
(fma.f64 #s(literal 841/108 binary64) x (-.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 1492992/17249876309 binary64) (*.f64 x x))))
(* x (- (+ 841/108 (* -1 (/ (+ 1492992/17249876309 (* 278628139008/10260628712958602189 (/ 1 (pow x 2)))) (pow x 3)))) (* 4/29 (/ 1 x))))
(fma.f64 (-.f64 (-.f64 #s(literal 841/108 binary64) (/.f64 #s(literal 1492992/17249876309 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 278628139008/10260628712958602189 binary64) (pow.f64 x #s(literal 5 binary64)))) x #s(literal -4/29 binary64))
(* -108/841 x)
(*.f64 #s(literal -108/841 binary64) x)
(* x (- (* 46656/20511149 (/ 1 x)) 108/841))
(*.f64 (-.f64 (/.f64 #s(literal 46656/20511149 binary64) x) #s(literal 108/841 binary64)) x)
(* x (- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x) #s(literal 108/841 binary64)) x)
(* x (- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))))
(fma.f64 (-.f64 (/.f64 (+.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) (*.f64 x x)) #s(literal 108/841 binary64)) x #s(literal 46656/20511149 binary64))
-108/841
#s(literal -108/841 binary64)
(- (* 46656/20511149 (/ 1 x)) 108/841)
(-.f64 (/.f64 #s(literal 46656/20511149 binary64) x) #s(literal 108/841 binary64))
(- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2))))
(-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x) #s(literal 108/841 binary64))
(- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2))))
(-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x) #s(literal 108/841 binary64))
(* -1 (* x (+ 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
(/ -1728/707281 x)
(/.f64 #s(literal -1728/707281 binary64) x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 #s(literal 322486272/420707233300201 binary64) x)) x) #s(literal 1728/707281 binary64)) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -322486272/420707233300201 binary64) (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x)) x) #s(literal 746496/17249876309 binary64)) x) #s(literal 1728/707281 binary64)) x)
(* -1 (* x (pow (sqrt 841/108) 2)))
(*.f64 #s(literal -841/108 binary64) x)
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)))
(* -1 (* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 4/29 (/ 1 x))) 841/108)))
(-.f64 #s(literal -4/29 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1492992/17249876309 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1492992/17249876309 (* 278628139008/10260628712958602189 (/ 1 (pow x 2)))) (pow x 2))) 4/29) x)) 841/108)))
(.f64 (neg.f64 x) (-.f64 (-.f64 (/.f64 #s(literal 278628139008/10260628712958602189 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 1492992/17249876309 binary64) (.f64 x x))) x)) #s(literal 841/108 binary64)))
(* -1 (* x (- 108/841 (* 46656/20511149 (/ 1 x)))))
(fma.f64 #s(literal -108/841 binary64) x #s(literal 46656/20511149 binary64))
(* -1 (* x (+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)))))
(fma.f64 #s(literal -108/841 binary64) x (-.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)))
(* -1 (* x (+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x)))))
(fma.f64 #s(literal -108/841 binary64) x (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)))
(- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841)
(-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x) #s(literal 108/841 binary64))
(- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841)
(-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x) #s(literal 108/841 binary64))
(* -1 (* x (- (* -1 (pow (sqrt 841/108) 2)) (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 #s(literal 322486272/420707233300201 binary64) x)) x) #s(literal -1728/707281 binary64)) x)
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -322486272/420707233300201 binary64) (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x)) x) #s(literal 746496/17249876309 binary64)) x) #s(literal -1728/707281 binary64)) x)

rewrite324.0ms (7.5%)

Memory

-0.5MiB live, 145.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	96
0	44	72
1	160	70
2	1059	66
0	9973	66

Stop Event

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

Counts

14 → 943

Calls

Call 1

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

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

eval138.0ms (3.2%)

Memory: -16.3MiB live, 95.1MiB allocated
Compiler: Compiled 14 025 to 1 694 computations (87.9% saved)

prune17.0ms (0.4%)

Memory

-14.3MiB live, 35.0MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	536	5	541
Fresh	0	0	0
Picked	3	1	4
Done	0	2	2
Total	539	8	547

Accuracy

100.0%

Counts

547 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(fma.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)) x (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
▶	98.8%	(fma.f64 (.f64 x #s(approx (/ x (+ ( -841/108 x) -4/29)) #s(literal -108/841 binary64))) #s(literal -707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	30.7%	(/.f64 (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal 16/841 binary64)) #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
✓	46.4%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
▶	55.8%	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64))))
✓	56.0%	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))
▶	14.9%	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x))))

Compiler

Compiled 206 to 161 computations (21.8% saved)

simplify36.0ms (0.8%)

Memory

5.3MiB live, 48.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	207
0	57	207
1	93	207
2	202	194
3	474	194
4	853	192
5	1162	192
6	1283	184
7	1328	184
8	1360	184
9	1365	184
0	1365	179

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize222.0ms (5.1%)

Memory

-21.3MiB live, 176.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 #s(literal 841/108 binary64))
accuracy	0.17578125	(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
accuracy	0.30859375	(.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)))
accuracy	47.92588648197048	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64))))
accuracy	0.17578125	(fma.f64 (.f64 x #s(approx (/ x (+ ( -841/108 x) -4/29)) #s(literal -108/841 binary64))) #s(literal -707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
accuracy	0.2109375	(.f64 x #s(approx (/ x (+ ( -841/108 x) -4/29)) #s(literal -108/841 binary64)))
accuracy	0.6413002238808925	(/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy	28.10185300344445	#s(approx (/ x (+ (* -841/108 x) -4/29)) #s(literal -108/841 binary64))
accuracy	0.07421875	(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
accuracy	0.1328125	(*.f64 #s(literal -841/108 binary64) x)
accuracy	16.159811413052914	(/.f64 (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal 16/841 binary64)) #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
accuracy	28.044052165230543	#s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.18557732281327616	(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
accuracy	27.616122599457384	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x))))
accuracy	27.77437289063214	(sqrt.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))
accuracy	0.0859375	(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
accuracy	0.1171875	(*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64))
accuracy	0.5741749384226456	(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy	0.6413002238808925	(/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))

Samples

85.0ms	254×	0	valid
1.0ms	1×	2	valid
1.0ms	1×	1	valid

Compiler

Compiled 195 to 36 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

const: 24.0ms (35.9% of total)

ival-mult: 21.0ms (31.4% of total)

ival-sqrt: 9.0ms (13.4% of total)

ival-div: 7.0ms (10.5% of total)

ival-add: 6.0ms (9% of total)

adjust: 0.0ms (0% of total)

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

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

series9.0ms (0.2%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

20 → 74

Calls

Call 1

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

Outputs
4/29
(+ 4/29 (* 841/108 x))
(* -20511149/46656 x)
(* x (- (* -500246412961/20155392 x) 20511149/46656))
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(* 29/4 x)
(* x (+ 29/4 (* 707281/1728 x)))
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
(+ 4/29 (* -841/108 x))
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* 841/108 x)
(* 707281/11664 (pow x 2))
(pow x 2)
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 4/29 (* x (+ 841/108 (* 20511149/23328 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/23328 (* 12200509765705829/4353564672 (pow x 2)))))))
(* -29/4 (pow x 2))
(* (pow x 2) (- (* 707281/1728 x) 29/4))
(* (pow x 2) (- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4))
(* (pow x 2) (- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4))
(* -29/4 x)
(* x (- (* 707281/1728 x) 29/4))
(* x (- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4))
(* x (- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(* x (pow (sqrt 841/108) 2))
(* x (sqrt 841/108))
(* -841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
841/108
(+ 841/108 (* 4/29 (/ 1 x)))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))
-108/841
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* 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))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* -1 (/ (+ 4/29 (* 1492992/17249876309 (/ 1 (pow x 2)))) x))))
(* x (- (+ 841/108 (* -1 (/ (+ 1492992/17249876309 (* 278628139008/10260628712958602189 (/ 1 (pow x 2)))) (pow x 3)))) (* 4/29 (/ 1 x))))
(* -108/841 x)
(* x (- (* 46656/20511149 (/ 1 x)) 108/841))
(* x (- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))))
(* x (- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))))
(- (* 46656/20511149 (/ 1 x)) 108/841)
(- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2))))
(- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2))))
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (pow (sqrt 841/108) 2)))
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x)))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 4/29 (/ 1 x))) 841/108)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1492992/17249876309 (* 278628139008/10260628712958602189 (/ 1 (pow x 2)))) (pow x 2))) 4/29) x)) 841/108)))
(* -1 (* x (- 108/841 (* 46656/20511149 (/ 1 x)))))
(* -1 (* x (+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)))))
(* -1 (* x (+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x)))))
(- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841)
(- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841)
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

simplify148.0ms (3.4%)

Memory

17.4MiB live, 114.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	269	689
1	834	666
2	2347	628
3	7326	624
0	8094	590

Stop Event

1×	iter limit
1×	node limit

Counts

74 → 74

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 841/108 x))
(* -20511149/46656 x)
(* x (- (* -500246412961/20155392 x) 20511149/46656))
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(* 29/4 x)
(* x (+ 29/4 (* 707281/1728 x)))
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
(+ 4/29 (* -841/108 x))
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* 841/108 x)
(* 707281/11664 (pow x 2))
(pow x 2)
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 4/29 (* x (+ 841/108 (* 20511149/23328 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/23328 (* 12200509765705829/4353564672 (pow x 2)))))))
(* -29/4 (pow x 2))
(* (pow x 2) (- (* 707281/1728 x) 29/4))
(* (pow x 2) (- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4))
(* (pow x 2) (- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4))
(* -29/4 x)
(* x (- (* 707281/1728 x) 29/4))
(* x (- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4))
(* x (- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(* x (pow (sqrt 841/108) 2))
(* x (sqrt 841/108))
(* -841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
841/108
(+ 841/108 (* 4/29 (/ 1 x)))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))
-108/841
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* 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))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* -1 (/ (+ 4/29 (* 1492992/17249876309 (/ 1 (pow x 2)))) x))))
(* x (- (+ 841/108 (* -1 (/ (+ 1492992/17249876309 (* 278628139008/10260628712958602189 (/ 1 (pow x 2)))) (pow x 3)))) (* 4/29 (/ 1 x))))
(* -108/841 x)
(* x (- (* 46656/20511149 (/ 1 x)) 108/841))
(* x (- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))))
(* x (- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))))
(- (* 46656/20511149 (/ 1 x)) 108/841)
(- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2))))
(- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2))))
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (pow (sqrt 841/108) 2)))
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x)))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 4/29 (/ 1 x))) 841/108)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1492992/17249876309 (* 278628139008/10260628712958602189 (/ 1 (pow x 2)))) (pow x 2))) 4/29) x)) 841/108)))
(* -1 (* x (- 108/841 (* 46656/20511149 (/ 1 x)))))
(* -1 (* x (+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)))))
(* -1 (* x (+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x)))))
(- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841)
(- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841)
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* -20511149/46656 x)
(*.f64 #s(literal -20511149/46656 binary64) x)
(* x (- (* -500246412961/20155392 x) 20511149/46656))
(.f64 (-.f64 (.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x)
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -12200509765705829/8707129344 binary64) x) #s(literal 500246412961/20155392 binary64)) x) #s(literal 20511149/46656 binary64)) x)
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -297558232675799463481/3761479876608 binary64) x) #s(literal 12200509765705829/8707129344 binary64)) x) #s(literal 500246412961/20155392 binary64)) x) #s(literal 20511149/46656 binary64)) x)
(* 29/4 x)
(*.f64 #s(literal 29/4 binary64) x)
(* x (+ 29/4 (* 707281/1728 x)))
(*.f64 (fma.f64 #s(literal 707281/1728 binary64) x #s(literal 29/4 binary64)) x)
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 17249876309/746496 binary64) x #s(literal 707281/1728 binary64)) x #s(literal 29/4 binary64)) x)
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 420707233300201/322486272 binary64) x #s(literal 17249876309/746496 binary64)) x #s(literal 707281/1728 binary64)) x #s(literal 29/4 binary64)) x)
(+ 4/29 (* -841/108 x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal 707281/11664 binary64))
(pow x 2)
(*.f64 x x)
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
(+ 4/29 (* x (+ 841/108 (* 20511149/23328 x))))
(fma.f64 (fma.f64 #s(literal 20511149/23328 binary64) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/23328 (* 12200509765705829/4353564672 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 12200509765705829/4353564672 binary64) (*.f64 x x) #s(literal 20511149/23328 binary64)) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(* -29/4 (pow x 2))
(.f64 #s(literal -29/4 binary64) (.f64 x x))
(* (pow x 2) (- (* 707281/1728 x) 29/4))
(.f64 (.f64 (-.f64 (*.f64 #s(literal 707281/1728 binary64) x) #s(literal 29/4 binary64)) x) x)
(* (pow x 2) (- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4))
(.f64 (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -17249876309/746496 binary64) x #s(literal 707281/1728 binary64)) x) #s(literal 29/4 binary64)) x) x)
(* (pow x 2) (- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4))
(.f64 (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 420707233300201/322486272 binary64) x) #s(literal 17249876309/746496 binary64)) x #s(literal 707281/1728 binary64)) x) #s(literal 29/4 binary64)) x) x)
(* -29/4 x)
(*.f64 #s(literal -29/4 binary64) x)
(* x (- (* 707281/1728 x) 29/4))
(.f64 (-.f64 (.f64 #s(literal 707281/1728 binary64) x) #s(literal 29/4 binary64)) x)
(* x (- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4))
(.f64 (-.f64 (.f64 (fma.f64 #s(literal -17249876309/746496 binary64) x #s(literal 707281/1728 binary64)) x) #s(literal 29/4 binary64)) x)
(* x (- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4))
(.f64 (-.f64 (.f64 (fma.f64 (-.f64 (*.f64 #s(literal 420707233300201/322486272 binary64) x) #s(literal 17249876309/746496 binary64)) x #s(literal 707281/1728 binary64)) x) #s(literal 29/4 binary64)) x)
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(* x (pow (sqrt 841/108) 2))
(*.f64 #s(literal 841/108 binary64) x)
(* x (sqrt 841/108))
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
841/108
#s(literal 841/108 binary64)
(+ 841/108 (* 4/29 (/ 1 x)))
(-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal -841/108 binary64))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1728/707281 binary64) x) #s(literal 4/29 binary64)) x) #s(literal -841/108 binary64))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))
(-.f64 #s(literal 841/108 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -746496/17249876309 binary64) x) #s(literal -1728/707281 binary64)) x) #s(literal 4/29 binary64)) x))
-108/841
#s(literal -108/841 binary64)
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(-.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(-.f64 (/.f64 (-.f64 #s(literal -46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x) #s(literal 108/841 binary64))
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x) #s(literal -46656/20511149 binary64)) x) #s(literal 108/841 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #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)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* x (+ 841/108 (* -1 (/ (+ 4/29 (* 1492992/17249876309 (/ 1 (pow x 2)))) x))))
(fma.f64 #s(literal 841/108 binary64) x (fma.f64 (/.f64 #s(literal -1492992/17249876309 binary64) (pow.f64 x #s(literal 3 binary64))) x #s(literal -4/29 binary64)))
(* x (- (+ 841/108 (* -1 (/ (+ 1492992/17249876309 (* 278628139008/10260628712958602189 (/ 1 (pow x 2)))) (pow x 3)))) (* 4/29 (/ 1 x))))
(fma.f64 (-.f64 (-.f64 #s(literal 841/108 binary64) (/.f64 #s(literal 1492992/17249876309 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 278628139008/10260628712958602189 binary64) (pow.f64 x #s(literal 5 binary64)))) x #s(literal -4/29 binary64))
(* -108/841 x)
(*.f64 #s(literal -108/841 binary64) x)
(* x (- (* 46656/20511149 (/ 1 x)) 108/841))
(*.f64 (-.f64 (/.f64 #s(literal 46656/20511149 binary64) x) #s(literal 108/841 binary64)) x)
(* x (- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x) #s(literal 108/841 binary64)) x)
(* x (- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))))
(fma.f64 (-.f64 (/.f64 (+.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) (*.f64 x x)) #s(literal 108/841 binary64)) x #s(literal 46656/20511149 binary64))
(- (* 46656/20511149 (/ 1 x)) 108/841)
(-.f64 (/.f64 #s(literal 46656/20511149 binary64) x) #s(literal 108/841 binary64))
(- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2))))
(-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x) #s(literal 108/841 binary64))
(- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2))))
(-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x) #s(literal 108/841 binary64))
(/ -1728/707281 x)
(/.f64 #s(literal -1728/707281 binary64) x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/.f64 (+.f64 (/.f64 #s(literal -746496/17249876309 binary64) x) #s(literal -1728/707281 binary64)) x)
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal -746496/17249876309 binary64) (/.f64 #s(literal -322486272/420707233300201 binary64) x)) x) #s(literal 1728/707281 binary64)) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -139314069504/10260628712958602189 binary64) x) #s(literal -322486272/420707233300201 binary64)) x) #s(literal 746496/17249876309 binary64)) x) #s(literal 1728/707281 binary64)) x)
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(-.f64 #s(literal 841/108 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -746496/17249876309 binary64) x) #s(literal -1728/707281 binary64)) x) #s(literal 4/29 binary64)) x))
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x) #s(literal -46656/20511149 binary64)) x) #s(literal 108/841 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (pow (sqrt 841/108) 2)))
(*.f64 #s(literal -841/108 binary64) x)
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)))
(* -1 (* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 4/29 (/ 1 x))) 841/108)))
(neg.f64 (+.f64 #s(literal 4/29 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1492992/17249876309 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) x)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1492992/17249876309 (* 278628139008/10260628712958602189 (/ 1 (pow x 2)))) (pow x 2))) 4/29) x)) 841/108)))
(.f64 (neg.f64 x) (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 278628139008/10260628712958602189 binary64) (.f64 x x)) #s(literal 1492992/17249876309 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -4/29 binary64) x)) #s(literal 841/108 binary64)))
(* -1 (* x (- 108/841 (* 46656/20511149 (/ 1 x)))))
(fma.f64 #s(literal -108/841 binary64) x #s(literal 46656/20511149 binary64))
(* -1 (* x (+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x) #s(literal -108/841 binary64)) x)
(* -1 (* x (+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x) #s(literal -108/841 binary64)) x)
(- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841)
(-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x) #s(literal 108/841 binary64))
(- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841)
(-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x) #s(literal 108/841 binary64))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -746496/17249876309 binary64) (/.f64 #s(literal -322486272/420707233300201 binary64) x)) x) #s(literal -1728/707281 binary64)) x)
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -139314069504/10260628712958602189 binary64) x) #s(literal -322486272/420707233300201 binary64)) x) #s(literal 746496/17249876309 binary64)) x) #s(literal -1728/707281 binary64)) x)

rewrite158.0ms (3.7%)

Memory

17.9MiB live, 250.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	175
0	57	171
1	185	147
2	1145	132
0	9445	132

Stop Event

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

Counts

20 → 674

Calls

Call 1

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

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

eval202.0ms (4.7%)

Memory: -17.1MiB live, 126.0MiB allocated
Compiler: Compiled 17 564 to 1 660 computations (90.5% saved)

prune38.0ms (0.9%)

Memory

-17.3MiB live, 30.9MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	550	4	554
Fresh	0	0	0
Picked	3	2	5
Done	0	3	3
Total	553	9	562

Accuracy

100.0%

Counts

562 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.3%	(fma.f64 (.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)) x #s(approx (/ 16/841 (+ ( -841/108 x) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x)))
	55.5%	(fma.f64 (.f64 x #s(approx (/ x (+ ( -841/108 x) -4/29)) #s(literal -108/841 binary64))) #s(literal -707281/11664 binary64) #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x)))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
	18.9%	(/.f64 (fma.f64 (fabs.f64 (.f64 #s(literal 707281/11664 binary64) x)) x #s(literal 16/841 binary64)) #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
	30.8%	(/.f64 #s(approx (+ (* -707281/11664 (* x x)) 16/841) (.f64 #s(literal -707281/11664 binary64) (.f64 x x))) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
✓	46.4%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
✓	55.8%	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64))))
✓	56.0%	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))
✓	14.9%	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x))))

Compiler

Compiled 455 to 224 computations (50.8% saved)

regimes17.0ms (0.4%)

Memory

26.1MiB live, 26.1MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`(*.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

7.4MiB live, 7.4MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.1%	3	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`
99.1%	3	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
99.1%	3	`x`

Compiler

Compiled 15 to 15 computations (0% saved)

regimes3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB 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
46.4%	1	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`
46.4%	1	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
46.4%	1	`x`

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch43.0ms (1%)

Memory

-13.3MiB live, 32.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	7.762945999683119e-12	328612.0637198716
26.0ms	-1792600134929.2236	-5.336615640060729e-7

Samples

27.0ms

320×

valid

Compiler

Compiled 532 to 513 computations (3.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 17.0ms (81.2% of total)

ival-mult: 2.0ms (9.6% of total)

ival-add: 1.0ms (4.8% of total)

exact: 1.0ms (4.8% of total)

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

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

simplify13.0ms (0.3%)

Memory

10.6MiB live, 10.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	42
1	41	42
2	73	42
3	128	42
4	184	42
5	199	42
6	202	42

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 -1224979098644775/72057594037927936 binary64)) #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 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 x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))))

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

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

soundness290.0ms (6.7%)

Memory

-29.0MiB live, 158.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	32	14
2	62	14
3	122	14
4	172	14
5	219	14
6	278	14
7	377	14
8	413	14
9	417	14
0	417	12
0	148	318
1	427	306
2	1174	297
3	3217	292
4	7952	292
0	8266	277
0	9	10
0	15	10
1	32	10
2	153	10
3	1184	10
0	8573	9

Stop Event

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

Compiler

Compiled 127 to 70 computations (44.9% saved)

preprocess21.0ms (0.5%)

Memory: 26.0MiB live, 26.0MiB allocated
Compiler: Compiled 118 to 78 computations (33.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (24.1%)

explain156.0ms (3.6%)

preprocess14.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize26.0ms (0.6%)

series2.0ms (0%)

simplify11.0ms (0.3%)

rewrite332.0ms (7.7%)

eval21.0ms (0.5%)

prune7.0ms (0.2%)

simplify21.0ms (0.5%)

localize102.0ms (2.4%)

series14.0ms (0.3%)

simplify130.0ms (3%)

rewrite241.0ms (5.6%)

eval211.0ms (4.9%)

prune14.0ms (0.3%)

simplify56.0ms (1.3%)

localize94.0ms (2.2%)

series9.0ms (0.2%)

simplify125.0ms (2.9%)

rewrite324.0ms (7.5%)

eval138.0ms (3.2%)

prune17.0ms (0.4%)

simplify36.0ms (0.8%)

localize222.0ms (5.1%)

series9.0ms (0.2%)

simplify148.0ms (3.4%)

rewrite158.0ms (3.7%)

eval202.0ms (4.7%)

prune38.0ms (0.9%)

regimes17.0ms (0.4%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch43.0ms (1%)

simplify13.0ms (0.3%)

soundness290.0ms (6.7%)

preprocess21.0ms (0.5%)

end0.0ms (0%)

Profiling

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

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