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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 11 computations (0% saved)

sample1.4s (24.2%)

Memory

-121.5MiB live, 943.8MiB allocated

Samples

1.2s	8 251×	0	valid
0.0ms	5×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 572.0ms

ival-div: 318.0ms (55.6% of total)

ival-add: 145.0ms (25.4% of total)

ival-mult: 86.0ms (15% of total)

exact: 14.0ms (2.4% of total)

ival-true: 6.0ms (1% of total)

ival-assert: 4.0ms (0.7% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain120.0ms (2%)

Memory

-6.7MiB live, 150.5MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

52.0ms

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 (54.5% 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 (0.2%)

Memory

25.5MiB live, 25.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))

Compiler

Compiled 9 to 9 computations (0% saved)

simplify8.0ms (0.1%)

Memory

-29.3MiB live, 8.1MiB 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)

localize19.0ms (0.3%)

Memory

28.2MiB live, 28.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
accuracy	0.0	(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
accuracy	0.0078125	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
accuracy	0.15625	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)

Samples

13.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

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

ival-div: 4.0ms (56.2% of total)

ival-mult: 2.0ms (28.1% of total)

ival-add: 1.0ms (14% 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))
0.0ms	x	@	-inf	((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x))
0.0ms	x	@	0	((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x))

Time

Variable

Point

Expression

1.0ms

inf

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

0.0ms

-inf

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

0.0ms

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

simplify15.0ms (0.2%)

Memory

-26.5MiB live, 10.8MiB 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))

rewrite219.0ms (3.7%)

Memory

-20.9MiB live, 273.0MiB 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)))))

eval20.0ms (0.3%)

Memory: 35.1MiB live, 35.1MiB allocated
Compiler: Compiled 5 013 to 600 computations (88% saved)

prune17.0ms (0.3%)

Memory

-20.2MiB live, 18.4MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	167	10	177
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	168	10	178

Accuracy

100.0%

Counts

178 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.8%	(fma.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
	49.0%	(fma.f64 (sqrt.f64 (.f64 x #s(literal 841/108 binary64))) (sqrt.f64 (.f64 x #s(literal 841/108 binary64))) #s(literal 4/29 binary64))
▶	49.0%	(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
	99.8%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
	52.0%	(/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)))
	76.6%	(/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 (.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)) (.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)))) (-.f64 #s(literal 4/29 binary64) (.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64))))
	99.3%	(-.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))))
▶	99.8%	(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
▶	76.6%	(+.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)))))
▶	51.7%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Compiler

Compiled 244 to 178 computations (27% saved)

simplify23.0ms (0.4%)

Memory

19.5MiB live, 19.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 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	(*.f64 #s(literal -841/108 binary64) x)
cost-diff	1	(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	126
0	52	120
1	78	120
2	155	120
3	334	120
4	602	120
5	738	120
6	761	120
7	765	120
8	775	120
9	786	120
10	787	120
0	787	113

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize107.0ms (1.8%)

Memory

4.9MiB live, 157.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(*.f64 x #s(literal 841/108 binary64))
accuracy	0.11947250976844202	(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
accuracy	0.12188329618683774	(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
accuracy	7.337340837840183	(/.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	0.08203125	(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	0.09338629138909577	(.f64 (.f64 x x) #s(literal 841/108 binary64))
accuracy	16.129554575057597	(sqrt.f64 (.f64 (.f64 x x) #s(literal 841/108 binary64)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.05859375	(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x))
accuracy	0.07421875	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	0.08984375	(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
accuracy	14.265592608438356	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
accuracy	0.0078125	(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
accuracy	0.08984375	(*.f64 #s(literal -841/108 binary64) x)

Samples

46.0ms	126×	0	valid
43.0ms	130×	0	invalid

Compiler

Compiled 132 to 36 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

const: 22.0ms (35% of total)

ival-mult: 17.0ms (27.1% of total)

ival-div: 7.0ms (11.1% of total)

ival-add: 7.0ms (11.1% of total)

ival-sqrt: 7.0ms (11.1% of total)

ival-sub: 2.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory

-5.4MiB live, 31.9MiB allocated

Counts

18 → 41

Calls

Call 1

Inputs
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
(*.f64 #s(literal -841/108 binary64) x)
#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 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)))
(* 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
7.0ms	x	@	inf	((- 4/29 (* -841/108 x)) (* -841/108 x) (+ (* (/ 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	((- 4/29 (* -841/108 x)) (* -841/108 x) (+ (* (/ 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	((- 4/29 (* -841/108 x)) (* -841/108 x) (+ (* (/ 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

7.0ms

inf

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

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

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

simplify124.0ms (2.1%)

Memory

15.6MiB live, 171.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	318
1	427	306
2	1174	297
3	3220	292
4	7950	292
0	8257	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 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)))
(* 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 x)
(*.f64 #s(literal -841/108 binary64) x)
(* 841/108 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64))
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(sqrt x)
(sqrt.f64 x)
(+ 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))
(* 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)))

rewrite213.0ms (3.6%)

Memory

-36.0MiB live, 247.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	108
0	52	86
1	175	85
2	1247	84
0	9432	76

Stop Event

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

Counts

18 → 1 760

Calls

Call 1

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

eval91.0ms (1.6%)

Memory: 20.4MiB live, 138.8MiB allocated
Compiler: Compiled 15 551 to 1 678 computations (89.2% saved)

prune35.0ms (0.6%)

Memory

4.3MiB live, 43.2MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	619	5	624
Fresh	3	2	5
Picked	3	2	5
Done	0	0	0
Total	625	9	634

Accuracy

100.0%

Counts

634 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
▶	99.8%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	96.2%	(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
▶	76.6%	(/.f64 (.f64 (-.f64 (.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 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
	99.3%	(-.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))))
✓	99.8%	(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
	76.6%	(+.f64 (/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 (* x 841/108)) (.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
✓	51.7%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
▶	48.3%	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))

Compiler

Compiled 226 to 160 computations (29.2% saved)

simplify240.0ms (4.1%)

Memory

-10.1MiB live, 111.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
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	5	(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
cost-diff	0	(*.f64 #s(literal 841/108 binary64) x)
cost-diff	0	(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
cost-diff	3	(.f64 (-.f64 (.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)))
cost-diff	9	(/.f64 (.f64 (-.f64 (.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 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
cost-diff	0	(sqrt.f64 #s(literal 841/108 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
cost-diff	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	(*.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))
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	25	130
0	41	114
1	71	113
2	174	107
3	422	107
4	995	102
5	3703	102
6	7187	102
0	8532	100

Stop Event

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

Calls

Call 1

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

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

localize97.0ms (1.6%)

Memory

-4.5MiB live, 122.2MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.1015625	(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
accuracy	0.16796875	(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
accuracy	0.21875	(*.f64 x (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
accuracy	0.30210878907376804	(/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
accuracy	0.1015625	(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
accuracy	0.11556625976844201	(.f64 (-.f64 (.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)))
accuracy	0.15625	(*.f64 #s(literal 841/108 binary64) x)
accuracy	14.983979662405968	(/.f64 (.f64 (-.f64 (.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 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
accuracy	0.0	(sqrt.f64 #s(literal 841/108 binary64))
accuracy	0.16796875	(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
accuracy	0.21484375	(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
accuracy	0.15625	(*.f64 #s(literal 841/108 binary64) x)
accuracy	48.89146789005858	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))
accuracy	0.1015625	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))

Samples

59.0ms	254×	0	valid
1.0ms	1×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 140 to 28 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 15.0ms (34.7% of total)

const: 13.0ms (30.1% of total)

ival-div: 5.0ms (11.6% of total)

ival-add: 5.0ms (11.6% of total)

ival-sqrt: 4.0ms (9.3% of total)

ival-sub: 1.0ms (2.3% of total)

adjust: 0.0ms (0% of total)

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

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

series9.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

14 → 56

Calls

Call 1

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

Outputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* 841/108 x)
(* x (sqrt 841/108))
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
-4/29
(- (* 841/108 x) 4/29)
(+ 4/29 (* -841/108 x))
(+ 4/29 (* x (- (* 20511149/23328 x) 841/108)))
(+ 4/29 (* x (- (* x (+ 20511149/23328 (* -500246412961/10077696 x))) 841/108)))
(* 29/4 (pow x 2))
(* (pow x 2) (+ 29/4 (* -707281/1728 x)))
(* (pow x 2) (+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728))))
(* (pow x 2) (+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728))))
(* 29/4 x)
(* x (+ 29/4 (* -707281/1728 x)))
(* x (+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728))))
(* x (+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728))))
(+ 4/29 (* x (- (* 20511149/46656 x) 841/108)))
(+ 4/29 (* x (- (* x (+ 20511149/46656 (* -500246412961/20155392 x))) 841/108)))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (pow (sqrt 841/108) 2))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (* 4/29 (/ 1 x))))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (+ (* 4/29 (/ 1 x)) (* 1492992/17249876309 (/ 1 (pow x 3))))))
(* 108/841 x)
(* x (- 108/841 (* 46656/20511149 (/ 1 x))))
(* x (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))))
(* x (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
108/841
(- 108/841 (* 46656/20511149 (/ 1 x)))
(- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x)))
(- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))))
(/ 1728/707281 x)
(/ (- 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/ (- (+ 1728/707281 (/ 322486272/420707233300201 (pow x 2))) (* 746496/17249876309 (/ 1 x))) x)
(/ (- (+ 1728/707281 (/ 322486272/420707233300201 (pow x 2))) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3))))) x)
(* -1 (* x (pow (sqrt 841/108) 2)))
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x)))))
(* -1 (* x (- (* -1 (pow (sqrt 841/108) 2)) (* 4/29 (/ 1 x)))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* -1 (/ (- (* 3456/707281 (/ 1 x)) 4/29) x)) 841/108)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1492992/17249876309 (/ 1 x)) 3456/707281) x)) 4/29) x)) 841/108)))
(* -1 (* x (- (* 46656/20511149 (/ 1 x)) 108/841)))
(* -1 (* x (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841)))
(+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)))
(+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x)))
(* -1 (/ (- (* 746496/17249876309 (/ 1 x)) 1728/707281) x))
(* -1 (/ (- (* -1 (/ (- (* 322486272/420707233300201 (/ 1 x)) 746496/17249876309) x)) 1728/707281) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 139314069504/10260628712958602189 (/ 1 x)) 322486272/420707233300201) x)) 746496/17249876309) x)) 1728/707281) x))

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify260.0ms (4.4%)

Memory

-12.5MiB live, 146.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	209	507
1	605	483
2	1374	472
3	3532	469
0	8280	441

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 56

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* 841/108 x)
(* x (sqrt 841/108))
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
-4/29
(- (* 841/108 x) 4/29)
(+ 4/29 (* -841/108 x))
(+ 4/29 (* x (- (* 20511149/23328 x) 841/108)))
(+ 4/29 (* x (- (* x (+ 20511149/23328 (* -500246412961/10077696 x))) 841/108)))
(* 29/4 (pow x 2))
(* (pow x 2) (+ 29/4 (* -707281/1728 x)))
(* (pow x 2) (+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728))))
(* (pow x 2) (+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728))))
(* 29/4 x)
(* x (+ 29/4 (* -707281/1728 x)))
(* x (+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728))))
(* x (+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728))))
(+ 4/29 (* x (- (* 20511149/46656 x) 841/108)))
(+ 4/29 (* x (- (* x (+ 20511149/46656 (* -500246412961/20155392 x))) 841/108)))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (pow (sqrt 841/108) 2))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (* 4/29 (/ 1 x))))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (+ (* 4/29 (/ 1 x)) (* 1492992/17249876309 (/ 1 (pow x 3))))))
(* 108/841 x)
(* x (- 108/841 (* 46656/20511149 (/ 1 x))))
(* x (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))))
(* x (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
108/841
(- 108/841 (* 46656/20511149 (/ 1 x)))
(- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x)))
(- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))))
(/ 1728/707281 x)
(/ (- 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/ (- (+ 1728/707281 (/ 322486272/420707233300201 (pow x 2))) (* 746496/17249876309 (/ 1 x))) x)
(/ (- (+ 1728/707281 (/ 322486272/420707233300201 (pow x 2))) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3))))) x)
(* -1 (* x (pow (sqrt 841/108) 2)))
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x)))))
(* -1 (* x (- (* -1 (pow (sqrt 841/108) 2)) (* 4/29 (/ 1 x)))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* -1 (/ (- (* 3456/707281 (/ 1 x)) 4/29) x)) 841/108)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1492992/17249876309 (/ 1 x)) 3456/707281) x)) 4/29) x)) 841/108)))
(* -1 (* x (- (* 46656/20511149 (/ 1 x)) 108/841)))
(* -1 (* x (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841)))
(+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)))
(+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x)))
(* -1 (/ (- (* 746496/17249876309 (/ 1 x)) 1728/707281) x))
(* -1 (/ (- (* -1 (/ (- (* 322486272/420707233300201 (/ 1 x)) 746496/17249876309) x)) 1728/707281) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 139314069504/10260628712958602189 (/ 1 x)) 322486272/420707233300201) x)) 746496/17249876309) x)) 1728/707281) x))

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (sqrt 841/108))
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
-16/841
#s(literal -16/841 binary64)
(- (* 707281/11664 (pow x 2)) 16/841)
(-.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64))
-4/29
#s(literal -4/29 binary64)
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(+ 4/29 (* -841/108 x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* x (- (* 20511149/23328 x) 841/108)))
(fma.f64 (-.f64 (*.f64 #s(literal 20511149/23328 binary64) x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 4/29 (* x (- (* x (+ 20511149/23328 (* -500246412961/10077696 x))) 841/108)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -500246412961/10077696 binary64) x #s(literal 20511149/23328 binary64)) x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(* 29/4 (pow x 2))
(.f64 #s(literal 29/4 binary64) (.f64 x x))
(* (pow x 2) (+ 29/4 (* -707281/1728 x)))
(.f64 (.f64 (fma.f64 #s(literal -707281/1728 binary64) x #s(literal 29/4 binary64)) x) x)
(* (pow x 2) (+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728))))
(.f64 (.f64 (fma.f64 (-.f64 (*.f64 #s(literal 17249876309/746496 binary64) x) #s(literal 707281/1728 binary64)) x #s(literal 29/4 binary64)) x) x)
(* (pow x 2) (+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728))))
(.f64 (.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -420707233300201/322486272 binary64) x #s(literal 17249876309/746496 binary64)) x) #s(literal 707281/1728 binary64)) x #s(literal 29/4 binary64)) x) x)
(* 29/4 x)
(*.f64 #s(literal 29/4 binary64) x)
(* x (+ 29/4 (* -707281/1728 x)))
(*.f64 (fma.f64 #s(literal -707281/1728 binary64) x #s(literal 29/4 binary64)) x)
(* x (+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 17249876309/746496 binary64) x) #s(literal 707281/1728 binary64)) x #s(literal 29/4 binary64)) x)
(* x (+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -420707233300201/322486272 binary64) x #s(literal 17249876309/746496 binary64)) x) #s(literal 707281/1728 binary64)) x #s(literal 29/4 binary64)) x)
(+ 4/29 (* x (- (* 20511149/46656 x) 841/108)))
(fma.f64 (-.f64 (*.f64 #s(literal 20511149/46656 binary64) x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 4/29 (* x (- (* x (+ 20511149/46656 (* -500246412961/20155392 x))) 841/108)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (pow (sqrt 841/108) 2))
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal 707281/11664 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(.f64 (.f64 (-.f64 #s(literal 707281/11664 binary64) (/.f64 (/.f64 #s(literal 16/841 binary64) x) x)) 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 (/ 3456/707281 (pow x 2))) (* 4/29 (/ 1 x))))
(fma.f64 (+.f64 (/.f64 #s(literal 3456/707281 binary64) (*.f64 x x)) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (+ (* 4/29 (/ 1 x)) (* 1492992/17249876309 (/ 1 (pow x 3))))))
(fma.f64 x (+.f64 #s(literal 841/108 binary64) (/.f64 (+.f64 #s(literal 3456/707281 binary64) (/.f64 #s(literal -1492992/17249876309 binary64) x)) (*.f64 x x))) #s(literal -4/29 binary64))
(* 108/841 x)
(*.f64 #s(literal 108/841 binary64) x)
(* x (- 108/841 (* 46656/20511149 (/ 1 x))))
(fma.f64 #s(literal 108/841 binary64) x #s(literal -46656/20511149 binary64))
(* x (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))))
(fma.f64 (+.f64 (/.f64 #s(literal 20155392/500246412961 binary64) (*.f64 x x)) #s(literal 108/841 binary64)) x #s(literal -46656/20511149 binary64))
(* x (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
(fma.f64 x (-.f64 #s(literal 108/841 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 8707129344/12200509765705829 binary64) x) #s(literal 20155392/500246412961 binary64)) x) x)) #s(literal -46656/20511149 binary64))
108/841
#s(literal 108/841 binary64)
(- 108/841 (* 46656/20511149 (/ 1 x)))
(-.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))
(- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x)))
(-.f64 #s(literal 108/841 binary64) (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x))
(- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))))
(-.f64 #s(literal 108/841 binary64) (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x))
(/ 1728/707281 x)
(/.f64 #s(literal 1728/707281 binary64) x)
(/ (- 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)
(/ (- (+ 1728/707281 (/ 322486272/420707233300201 (pow x 2))) (* 746496/17249876309 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal 746496/17249876309 binary64)) x) #s(literal 1728/707281 binary64)) x)
(/ (- (+ 1728/707281 (/ 322486272/420707233300201 (pow x 2))) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal 322486272/420707233300201 binary64)) #s(literal -746496/17249876309 binary64)) x) #s(literal 1728/707281 binary64)) x)
(* -1 (* x (pow (sqrt 841/108) 2)))
(*.f64 #s(literal -841/108 binary64) x)
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (- (* -1 (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 (- (* -1 (/ (- (* 3456/707281 (/ 1 x)) 4/29) x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 3456/707281 binary64) x) #s(literal -4/29 binary64)) (neg.f64 x)) #s(literal 841/108 binary64)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1492992/17249876309 (/ 1 x)) 3456/707281) x)) 4/29) x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal 1492992/17249876309 binary64) x) #s(literal 3456/707281 binary64)) #s(literal -4/29 binary64)) (neg.f64 x)) #s(literal 841/108 binary64)))
(* -1 (* x (- (* 46656/20511149 (/ 1 x)) 108/841)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 46656/20511149 binary64) x) #s(literal 108/841 binary64)))
(* -1 (* x (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x) #s(literal 108/841 binary64)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x) #s(literal 108/841 binary64)))
(+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)))
(-.f64 #s(literal 108/841 binary64) (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x))
(+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x)))
(-.f64 #s(literal 108/841 binary64) (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x))
(* -1 (/ (- (* 746496/17249876309 (/ 1 x)) 1728/707281) x))
(/.f64 (-.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal 1728/707281 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* 322486272/420707233300201 (/ 1 x)) 746496/17249876309) x)) 1728/707281) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal -746496/17249876309 binary64)) (neg.f64 x)) #s(literal 1728/707281 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 139314069504/10260628712958602189 (/ 1 x)) 322486272/420707233300201) x)) 746496/17249876309) x)) 1728/707281) x))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal 322486272/420707233300201 binary64)) #s(literal -746496/17249876309 binary64)) (neg.f64 x)) #s(literal 1728/707281 binary64)) (neg.f64 x))

rewrite277.0ms (4.7%)

Memory

15.9MiB live, 285.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	107
0	41	78
1	151	73
2	988	69
0	10117	68

Stop Event

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

Counts

14 → 2 170

Calls

Call 1

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

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

eval257.0ms (4.4%)

Memory: 0.8MiB live, 313.0MiB allocated
Compiler: Compiled 42 318 to 3 296 computations (92.2% saved)

prune31.0ms (0.5%)

Memory

-1.5MiB live, 83.6MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1 367	8	1 375
Fresh	2	0	2
Picked	3	2	5
Done	0	2	2
Total	1 372	12	1 384

Accuracy

100.0%

Counts

1 384 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(fma.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 841/108 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 4/29 binary64))
✓	99.8%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	47.8%	(fma.f64 #s(literal 707281/11664 binary64) (.f64 x (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (+ ( 841/108 x) 4/29)) (/.f64 #s(literal 1728/707281 binary64) x)))
▶	96.3%	(fma.f64 #s(literal 707281/11664 binary64) (.f64 x #s(approx (/ x (+ ( 841/108 x) 4/29)) #s(literal 108/841 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
	76.6%	(/.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)))
	51.7%	(/.f64 (.f64 #s(approx (- ( 841/108 x) 4/29) #s(literal -4/29 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
	25.1%	(/.f64 #s(approx (* (- (* 841/108 x) 4/29) (+ (* 841/108 x) 4/29)) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
✓	99.8%	(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
✓	51.7%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
▶	48.2%	#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))))
✓	48.3%	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))
▶	13.1%	#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 325 to 256 computations (21.2% saved)

simplify407.0ms (6.9%)

Memory

16.9MiB live, 243.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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 #s(literal 707281/11664 binary64) (.f64 x (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (+ ( 841/108 x) 4/29)) (/.f64 #s(literal 1728/707281 binary64) x)))
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 #s(literal 707281/11664 binary64) (.f64 x #s(approx (/ x (+ ( 841/108 x) 4/29)) #s(literal 108/841 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.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	2	(sqrt.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))
cost-diff	0	(*.f64 #s(literal 841/108 binary64) (/.f64 x (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	2	(/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 1 binary64))
cost-diff	2	(fma.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 841/108 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 4/29 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	226
0	69	222
1	113	222
2	246	214
3	623	214
4	1666	212
5	3832	200
6	6950	200
0	8642	196

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 841/108 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 4/29 binary64))
(/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
#s(literal -841/108 binary64)
x
#s(literal -4/29 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 841/108 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
#s(literal 841/108 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(literal 4/29 binary64)
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x))))
(sqrt.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))
(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
#s(literal 707281/11664 binary64)
(*.f64 x x)
x
(fma.f64 #s(literal 707281/11664 binary64) (.f64 x #s(approx (/ x (+ ( 841/108 x) 4/29)) #s(literal 108/841 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
#s(literal 707281/11664 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)
(/.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
(fma.f64 #s(literal 707281/11664 binary64) (.f64 x (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (+ ( 841/108 x) 4/29)) (/.f64 #s(literal 1728/707281 binary64) x)))
#s(literal 707281/11664 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(approx (/ 16/841 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 1728/707281 binary64) x))
(/.f64 #s(literal 1728/707281 binary64) x)
#s(literal 1728/707281 binary64)

Outputs
(fma.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 841/108 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 4/29 binary64))
(fma.f64 (fma.f64 #s(literal -707281/11664 binary64) x #s(literal -29/27 binary64)) (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 4/29 binary64))
(/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64))
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
(fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64))
#s(literal -841/108 binary64)
x
#s(literal -4/29 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 841/108 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(*.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 841/108 binary64))
#s(literal 841/108 binary64)
(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 x (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))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x))))
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (fabs.f64 x) #s(literal 841/108 binary64)))
(sqrt.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))
(*.f64 (fabs.f64 x) #s(literal 841/108 binary64))
(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
(.f64 (.f64 #s(literal 707281/11664 binary64) x) x)
#s(literal 707281/11664 binary64)
(*.f64 x x)
x
(fma.f64 #s(literal 707281/11664 binary64) (.f64 x #s(approx (/ x (+ ( 841/108 x) 4/29)) #s(literal 108/841 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(fma.f64 (.f64 #s(approx (/ x (+ ( 841/108 x) 4/29)) #s(literal 108/841 binary64)) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64))))
#s(literal 707281/11664 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)
(/.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 x #s(literal -841/108 binary64) #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
(fma.f64 #s(literal 707281/11664 binary64) (.f64 x (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (+ ( 841/108 x) 4/29)) (/.f64 #s(literal 1728/707281 binary64) x)))
(fma.f64 (/.f64 #s(literal -707281/11664 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64))) (.f64 x x) #s(approx (/ 16/841 (+ ( 841/108 x) 4/29)) (/.f64 #s(literal 1728/707281 binary64) x)))
#s(literal 707281/11664 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(approx (/ 16/841 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 1728/707281 binary64) x))
(/.f64 #s(literal 1728/707281 binary64) x)
#s(literal 1728/707281 binary64)

localize160.0ms (2.7%)

Memory

-3.4MiB live, 164.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16796875	(fma.f64 #s(literal 707281/11664 binary64) (.f64 x (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (+ ( 841/108 x) 4/29)) (/.f64 #s(literal 1728/707281 binary64) x)))
accuracy	0.21875	(*.f64 x (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
accuracy	0.41796875	(/.f64 #s(literal 1728/707281 binary64) x)
accuracy	33.140807899451865	#s(approx (/ 16/841 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 1728/707281 binary64) x))
accuracy	0.0	(sqrt.f64 #s(literal 841/108 binary64))
accuracy	0.21484375	(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
accuracy	0.34375	(.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)))
accuracy	48.89146789005858	#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	0.16796875	(fma.f64 #s(literal 707281/11664 binary64) (.f64 x #s(approx (/ x (+ ( 841/108 x) 4/29)) #s(literal 108/841 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
accuracy	0.21875	(.f64 x #s(approx (/ x (+ ( 841/108 x) 4/29)) #s(literal 108/841 binary64)))
accuracy	0.30210878907376804	(/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
accuracy	32.961316430563606	#s(approx (/ x (+ (* 841/108 x) 4/29)) #s(literal 108/841 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.16485204618683774	(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
accuracy	30.522726426275497	(sqrt.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))
accuracy	32.34045158980607	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x))))
accuracy	0.0859375	(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy	0.1015625	(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
accuracy	0.1015625	(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
accuracy	0.13671875	(*.f64 #s(literal 841/108 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))

Samples

136.0ms	254×	0	valid
1.0ms	1×	2	valid
1.0ms	1×	1	valid

Compiler

Compiled 221 to 38 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

const: 53.0ms (44.7% of total)

ival-mult: 42.0ms (35.4% of total)

ival-div: 9.0ms (7.6% of total)

ival-sqrt: 8.0ms (6.7% of total)

ival-add: 7.0ms (5.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

24 → 81

Calls

Call 1

Inputs
(fma.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 841/108 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 4/29 binary64))
(/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
(*.f64 #s(literal 841/108 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(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 #s(literal 707281/11664 binary64) (.f64 x x))))
(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
(*.f64 x x)
(fma.f64 #s(literal 707281/11664 binary64) (.f64 x #s(approx (/ x (+ ( 841/108 x) 4/29)) #s(literal 108/841 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(.f64 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))
(fma.f64 #s(literal 707281/11664 binary64) (.f64 x (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (+ ( 841/108 x) 4/29)) (/.f64 #s(literal 1728/707281 binary64) x)))
(*.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 #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)))
#s(approx (/ 16/841 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 1728/707281 binary64) x))
(/.f64 #s(literal 1728/707281 binary64) x)

Outputs
4/29
(+ 4/29 (* -841/108 x))
(+ 4/29 (* x (- (* -20511149/23328 x) 841/108)))
(+ 4/29 (* x (- (* x (- (* -500246412961/10077696 x) 20511149/23328)) 841/108)))
-4/29
(- (* -841/108 x) 4/29)
(* 24389/432 x)
(* x (+ 24389/432 (* 594823321/186624 x)))
(* x (+ 24389/432 (* x (+ 594823321/186624 (* 14507145975869/80621568 x)))))
(* x (+ 24389/432 (* x (+ 594823321/186624 (* x (+ 14507145975869/80621568 (* 353814783205469041/34828517376 x)))))))
(* 841/108 x)
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* 707281/11664 (pow x 2))
(pow x 2)
(+ 4/29 (* x (- (* 20511149/23328 x) 841/108)))
(+ 4/29 (* x (- (* x (+ 20511149/23328 (* -500246412961/10077696 x))) 841/108)))
(* 29/4 (pow x 2))
(* (pow x 2) (+ 29/4 (* -707281/1728 x)))
(* (pow x 2) (+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728))))
(* (pow x 2) (+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728))))
(* 29/4 x)
(* x (+ 29/4 (* -707281/1728 x)))
(* x (+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728))))
(* x (+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728))))
(+ 4/29 (* x (- (* 20511149/46656 x) 841/108)))
(+ 4/29 (* x (- (* x (+ 20511149/46656 (* -500246412961/20155392 x))) 841/108)))
(* x (pow (sqrt 841/108) 2))
(* x (sqrt 841/108))
(+ 4/29 (* 841/108 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)))))))
(/ 1728/707281 x)
(* x (+ 841/108 (* 12/29 (/ 1 x))))
(* x (+ 841/108 (+ (/ 3456/707281 (pow x 2)) (* 12/29 (/ 1 x)))))
(* x (+ 841/108 (+ (/ 3456/707281 (pow x 2)) (+ (* 12/29 (/ 1 x)) (* 1492992/17249876309 (/ 1 (pow x 3)))))))
(* -841/108 x)
(* -1 (* x (+ 841/108 (* 4/29 (/ 1 x)))))
-1
(* -1 (+ 1 (* 432/24389 (/ 1 x))))
(- (* -1 (/ (+ 432/24389 (* 186624/594823321 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 186624/594823321 (* 80621568/14507145975869 (/ 1 x))) (pow x 2))) (+ 1 (* 432/24389 (/ 1 x))))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (* 4/29 (/ 1 x))))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (+ (* 4/29 (/ 1 x)) (* 1492992/17249876309 (/ 1 (pow x 3))))))
(* 108/841 x)
(* x (- 108/841 (* 46656/20511149 (/ 1 x))))
(* x (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))))
(* x (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
108/841
(- 108/841 (* 46656/20511149 (/ 1 x)))
(- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x)))
(- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))))
(/ (- 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/ (- (+ 1728/707281 (/ 322486272/420707233300201 (pow x 2))) (* 746496/17249876309 (/ 1 x))) x)
(/ (- (+ 1728/707281 (/ 322486272/420707233300201 (pow x 2))) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3))))) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (- (* 4/29 (/ 1 x)) 841/108))
-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))))
(* -1 (* x (- (* -1 (/ (+ 12/29 (* 3456/707281 (/ 1 x))) x)) 841/108)))
(* -1 (* x (- (* -1 (/ (+ 12/29 (+ (/ 1492992/17249876309 (pow x 2)) (* 3456/707281 (/ 1 x)))) x)) 841/108)))
(- (* -1 (/ (+ 432/24389 (+ (/ 80621568/14507145975869 (pow x 2)) (* 186624/594823321 (/ 1 x)))) x)) 1)
(* -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 (- (* -1 (/ (- (* 3456/707281 (/ 1 x)) 4/29) x)) 841/108)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1492992/17249876309 (/ 1 x)) 3456/707281) x)) 4/29) x)) 841/108)))
(* -1 (* x (- (* 46656/20511149 (/ 1 x)) 108/841)))
(* -1 (* x (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841)))
(+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)))
(+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x)))
(* -1 (/ (- (* 746496/17249876309 (/ 1 x)) 1728/707281) x))
(* -1 (/ (- (* -1 (/ (- (* 322486272/420707233300201 (/ 1 x)) 746496/17249876309) x)) 1728/707281) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 139314069504/10260628712958602189 (/ 1 x)) 322486272/420707233300201) x)) 746496/17249876309) x)) 1728/707281) x))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

((+ (* (/ (+ (* -841/108 x) -4/29) 1) (* 841/108 (/ x (+ (* -841/108 x) 4/29)))) 4/29) (/ (+ (* -841/108 x) -4/29) 1) (+ (* -841/108 x) -4/29) (* 841/108 (/ x (+ (* -841/108 x) 4/29))) (sqrt (* 707281/11664 (* x x))) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (* 707281/11664 (* x x)) (* x x) (+ (* 707281/11664 (* x (/ x (+ (* 841/108 x) 4/29)))) (/ 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) (+ (* 707281/11664 (* x (/ x (+ (* 841/108 x) 4/29)))) (/ 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) (+ (* -841/108 x) 4/29) (/ x (+ (* -841/108 x) 4/29)) (/ 16/841 (+ (* 841/108 x) 4/29)) (/ 1728/707281 x))

3.0ms

-inf

((+ (* (/ (+ (* -841/108 x) -4/29) 1) (* 841/108 (/ x (+ (* -841/108 x) 4/29)))) 4/29) (/ (+ (* -841/108 x) -4/29) 1) (+ (* -841/108 x) -4/29) (* 841/108 (/ x (+ (* -841/108 x) 4/29))) (sqrt (* 707281/11664 (* x x))) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (* 707281/11664 (* x x)) (* x x) (+ (* 707281/11664 (* x (/ x (+ (* 841/108 x) 4/29)))) (/ 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) (+ (* 707281/11664 (* x (/ x (+ (* 841/108 x) 4/29)))) (/ 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) (+ (* -841/108 x) 4/29) (/ x (+ (* -841/108 x) 4/29)) (/ 16/841 (+ (* 841/108 x) 4/29)) (/ 1728/707281 x))

2.0ms

((+ (* (/ (+ (* -841/108 x) -4/29) 1) (* 841/108 (/ x (+ (* -841/108 x) 4/29)))) 4/29) (/ (+ (* -841/108 x) -4/29) 1) (+ (* -841/108 x) -4/29) (* 841/108 (/ x (+ (* -841/108 x) 4/29))) (sqrt (* 707281/11664 (* x x))) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (* 707281/11664 (* x x)) (* x x) (+ (* 707281/11664 (* x (/ x (+ (* 841/108 x) 4/29)))) (/ 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) (+ (* 707281/11664 (* x (/ x (+ (* 841/108 x) 4/29)))) (/ 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) (+ (* -841/108 x) 4/29) (/ x (+ (* -841/108 x) 4/29)) (/ 16/841 (+ (* 841/108 x) 4/29)) (/ 1728/707281 x))

simplify207.0ms (3.5%)

Memory

-27.7MiB live, 186.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	309	776
1	993	738
2	2530	704
3	7057	704
0	8086	658

Stop Event

1×	iter limit
1×	node limit

Counts

81 → 81

Calls

Call 1

Inputs
4/29
(+ 4/29 (* -841/108 x))
(+ 4/29 (* x (- (* -20511149/23328 x) 841/108)))
(+ 4/29 (* x (- (* x (- (* -500246412961/10077696 x) 20511149/23328)) 841/108)))
-4/29
(- (* -841/108 x) 4/29)
(* 24389/432 x)
(* x (+ 24389/432 (* 594823321/186624 x)))
(* x (+ 24389/432 (* x (+ 594823321/186624 (* 14507145975869/80621568 x)))))
(* x (+ 24389/432 (* x (+ 594823321/186624 (* x (+ 14507145975869/80621568 (* 353814783205469041/34828517376 x)))))))
(* 841/108 x)
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* 707281/11664 (pow x 2))
(pow x 2)
(+ 4/29 (* x (- (* 20511149/23328 x) 841/108)))
(+ 4/29 (* x (- (* x (+ 20511149/23328 (* -500246412961/10077696 x))) 841/108)))
(* 29/4 (pow x 2))
(* (pow x 2) (+ 29/4 (* -707281/1728 x)))
(* (pow x 2) (+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728))))
(* (pow x 2) (+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728))))
(* 29/4 x)
(* x (+ 29/4 (* -707281/1728 x)))
(* x (+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728))))
(* x (+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728))))
(+ 4/29 (* x (- (* 20511149/46656 x) 841/108)))
(+ 4/29 (* x (- (* x (+ 20511149/46656 (* -500246412961/20155392 x))) 841/108)))
(* x (pow (sqrt 841/108) 2))
(* x (sqrt 841/108))
(+ 4/29 (* 841/108 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)))))))
(/ 1728/707281 x)
(* x (+ 841/108 (* 12/29 (/ 1 x))))
(* x (+ 841/108 (+ (/ 3456/707281 (pow x 2)) (* 12/29 (/ 1 x)))))
(* x (+ 841/108 (+ (/ 3456/707281 (pow x 2)) (+ (* 12/29 (/ 1 x)) (* 1492992/17249876309 (/ 1 (pow x 3)))))))
(* -841/108 x)
(* -1 (* x (+ 841/108 (* 4/29 (/ 1 x)))))
-1
(* -1 (+ 1 (* 432/24389 (/ 1 x))))
(- (* -1 (/ (+ 432/24389 (* 186624/594823321 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 186624/594823321 (* 80621568/14507145975869 (/ 1 x))) (pow x 2))) (+ 1 (* 432/24389 (/ 1 x))))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (* 4/29 (/ 1 x))))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (+ (* 4/29 (/ 1 x)) (* 1492992/17249876309 (/ 1 (pow x 3))))))
(* 108/841 x)
(* x (- 108/841 (* 46656/20511149 (/ 1 x))))
(* x (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))))
(* x (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
108/841
(- 108/841 (* 46656/20511149 (/ 1 x)))
(- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x)))
(- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))))
(/ (- 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/ (- (+ 1728/707281 (/ 322486272/420707233300201 (pow x 2))) (* 746496/17249876309 (/ 1 x))) x)
(/ (- (+ 1728/707281 (/ 322486272/420707233300201 (pow x 2))) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3))))) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (- (* 4/29 (/ 1 x)) 841/108))
-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))))
(* -1 (* x (- (* -1 (/ (+ 12/29 (* 3456/707281 (/ 1 x))) x)) 841/108)))
(* -1 (* x (- (* -1 (/ (+ 12/29 (+ (/ 1492992/17249876309 (pow x 2)) (* 3456/707281 (/ 1 x)))) x)) 841/108)))
(- (* -1 (/ (+ 432/24389 (+ (/ 80621568/14507145975869 (pow x 2)) (* 186624/594823321 (/ 1 x)))) x)) 1)
(* -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 (- (* -1 (/ (- (* 3456/707281 (/ 1 x)) 4/29) x)) 841/108)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1492992/17249876309 (/ 1 x)) 3456/707281) x)) 4/29) x)) 841/108)))
(* -1 (* x (- (* 46656/20511149 (/ 1 x)) 108/841)))
(* -1 (* x (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841)))
(+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)))
(+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x)))
(* -1 (/ (- (* 746496/17249876309 (/ 1 x)) 1728/707281) x))
(* -1 (/ (- (* -1 (/ (- (* 322486272/420707233300201 (/ 1 x)) 746496/17249876309) x)) 1728/707281) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 139314069504/10260628712958602189 (/ 1 x)) 322486272/420707233300201) x)) 746496/17249876309) x)) 1728/707281) x))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* -841/108 x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* x (- (* -20511149/23328 x) 841/108)))
(fma.f64 (-.f64 (*.f64 #s(literal -20511149/23328 binary64) x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 4/29 (* x (- (* x (- (* -500246412961/10077696 x) 20511149/23328)) 841/108)))
(fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -500246412961/10077696 binary64) x) #s(literal 20511149/23328 binary64)) x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
-4/29
#s(literal -4/29 binary64)
(- (* -841/108 x) 4/29)
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
(* 24389/432 x)
(*.f64 #s(literal 24389/432 binary64) x)
(* x (+ 24389/432 (* 594823321/186624 x)))
(*.f64 (fma.f64 #s(literal 594823321/186624 binary64) x #s(literal 24389/432 binary64)) x)
(* x (+ 24389/432 (* x (+ 594823321/186624 (* 14507145975869/80621568 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 14507145975869/80621568 binary64) x #s(literal 594823321/186624 binary64)) x #s(literal 24389/432 binary64)) x)
(* x (+ 24389/432 (* x (+ 594823321/186624 (* x (+ 14507145975869/80621568 (* 353814783205469041/34828517376 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 353814783205469041/34828517376 binary64) x #s(literal 14507145975869/80621568 binary64)) x #s(literal 594823321/186624 binary64)) x #s(literal 24389/432 binary64)) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal 707281/11664 binary64))
(pow x 2)
(*.f64 x x)
(+ 4/29 (* x (- (* 20511149/23328 x) 841/108)))
(fma.f64 (-.f64 (*.f64 #s(literal 20511149/23328 binary64) x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 4/29 (* x (- (* x (+ 20511149/23328 (* -500246412961/10077696 x))) 841/108)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -500246412961/10077696 binary64) x #s(literal 20511149/23328 binary64)) x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(* 29/4 (pow x 2))
(.f64 #s(literal 29/4 binary64) (.f64 x x))
(* (pow x 2) (+ 29/4 (* -707281/1728 x)))
(.f64 (.f64 (fma.f64 #s(literal -707281/1728 binary64) x #s(literal 29/4 binary64)) x) x)
(* (pow x 2) (+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728))))
(.f64 (.f64 (fma.f64 (-.f64 (*.f64 #s(literal 17249876309/746496 binary64) x) #s(literal 707281/1728 binary64)) x #s(literal 29/4 binary64)) x) x)
(* (pow x 2) (+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728))))
(.f64 (.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -420707233300201/322486272 binary64) x #s(literal 17249876309/746496 binary64)) x) #s(literal 707281/1728 binary64)) x #s(literal 29/4 binary64)) x) x)
(* 29/4 x)
(*.f64 #s(literal 29/4 binary64) x)
(* x (+ 29/4 (* -707281/1728 x)))
(*.f64 (fma.f64 #s(literal -707281/1728 binary64) x #s(literal 29/4 binary64)) x)
(* x (+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 17249876309/746496 binary64) x) #s(literal 707281/1728 binary64)) x #s(literal 29/4 binary64)) x)
(* x (+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -420707233300201/322486272 binary64) x #s(literal 17249876309/746496 binary64)) x) #s(literal 707281/1728 binary64)) x #s(literal 29/4 binary64)) x)
(+ 4/29 (* x (- (* 20511149/46656 x) 841/108)))
(fma.f64 (-.f64 (*.f64 #s(literal 20511149/46656 binary64) x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 4/29 (* x (- (* x (+ 20511149/46656 (* -500246412961/20155392 x))) 841/108)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(* x (pow (sqrt 841/108) 2))
(*.f64 #s(literal 841/108 binary64) x)
(* x (sqrt 841/108))
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 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)
(/ 1728/707281 x)
(/.f64 #s(literal 1728/707281 binary64) x)
(* x (+ 841/108 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 12/29 binary64))
(* x (+ 841/108 (+ (/ 3456/707281 (pow x 2)) (* 12/29 (/ 1 x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 3456/707281 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 12/29 binary64)))
(* x (+ 841/108 (+ (/ 3456/707281 (pow x 2)) (+ (* 12/29 (/ 1 x)) (* 1492992/17249876309 (/ 1 (pow x 3)))))))
(fma.f64 (+.f64 #s(literal 841/108 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1492992/17249876309 binary64) x) #s(literal 3456/707281 binary64)) (*.f64 x x))) x #s(literal 12/29 binary64))
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* -1 (* x (+ 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 432/24389 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 432/24389 binary64) x))
(- (* -1 (/ (+ 432/24389 (* 186624/594823321 (/ 1 x))) x)) 1)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -186624/594823321 binary64) x) #s(literal -432/24389 binary64)) x) #s(literal 1 binary64))
(- (* -1 (/ (+ 186624/594823321 (* 80621568/14507145975869 (/ 1 x))) (pow x 2))) (+ 1 (* 432/24389 (/ 1 x))))
(-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -80621568/14507145975869 binary64) x) #s(literal -186624/594823321 binary64)) x) #s(literal -432/24389 binary64)) x) #s(literal 1 binary64))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 3456/707281 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (+ (* 4/29 (/ 1 x)) (* 1492992/17249876309 (/ 1 (pow x 3))))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 3456/707281 binary64) x) #s(literal 4/29 binary64)) x) (-.f64 (/.f64 #s(literal 1492992/17249876309 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64))) x)
(* 108/841 x)
(*.f64 #s(literal 108/841 binary64) x)
(* x (- 108/841 (* 46656/20511149 (/ 1 x))))
(fma.f64 #s(literal 108/841 binary64) x #s(literal -46656/20511149 binary64))
(* x (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))))
(fma.f64 (+.f64 (/.f64 #s(literal 20155392/500246412961 binary64) (*.f64 x x)) #s(literal 108/841 binary64)) x #s(literal -46656/20511149 binary64))
(* x (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
(*.f64 (-.f64 #s(literal 108/841 binary64) (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x)) x)
108/841
#s(literal 108/841 binary64)
(- 108/841 (* 46656/20511149 (/ 1 x)))
(-.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))
(- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x)))
(-.f64 #s(literal 108/841 binary64) (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x))
(- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))))
(-.f64 #s(literal 108/841 binary64) (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x))
(/ (- 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)
(/ (- (+ 1728/707281 (/ 322486272/420707233300201 (pow x 2))) (* 746496/17249876309 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal 746496/17249876309 binary64)) x) #s(literal 1728/707281 binary64)) x)
(/ (- (+ 1728/707281 (/ 322486272/420707233300201 (pow x 2))) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal 746496/17249876309 binary64)) x) (-.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1728/707281 binary64))) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 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))
(* -1 (* x (- (* -1 (/ (+ 12/29 (* 3456/707281 (/ 1 x))) x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -3456/707281 binary64) x) #s(literal -12/29 binary64)) x) #s(literal 841/108 binary64)))
(* -1 (* x (- (* -1 (/ (+ 12/29 (+ (/ 1492992/17249876309 (pow x 2)) (* 3456/707281 (/ 1 x)))) x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1492992/17249876309 binary64) x) #s(literal 3456/707281 binary64)) x) #s(literal 12/29 binary64))) x) #s(literal 841/108 binary64)))
(- (* -1 (/ (+ 432/24389 (+ (/ 80621568/14507145975869 (pow x 2)) (* 186624/594823321 (/ 1 x)))) x)) 1)
(-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -80621568/14507145975869 binary64) x) #s(literal -186624/594823321 binary64)) x) #s(literal -432/24389 binary64)) x) #s(literal 1 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 (- (* -1 (/ (- (* 3456/707281 (/ 1 x)) 4/29) x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 3456/707281 binary64) x) #s(literal 4/29 binary64)) (neg.f64 x)) #s(literal 841/108 binary64)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1492992/17249876309 (/ 1 x)) 3456/707281) x)) 4/29) x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1492992/17249876309 binary64) x) #s(literal 3456/707281 binary64)) (neg.f64 x)) #s(literal 4/29 binary64)) (neg.f64 x)) #s(literal 841/108 binary64)))
(* -1 (* x (- (* 46656/20511149 (/ 1 x)) 108/841)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 46656/20511149 binary64) x) #s(literal 108/841 binary64)))
(* -1 (* x (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x) #s(literal 108/841 binary64)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x) #s(literal 108/841 binary64)))
(+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)))
(-.f64 #s(literal 108/841 binary64) (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x))
(+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x)))
(-.f64 #s(literal 108/841 binary64) (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x))
(* -1 (/ (- (* 746496/17249876309 (/ 1 x)) 1728/707281) x))
(/.f64 (-.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal 1728/707281 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* 322486272/420707233300201 (/ 1 x)) 746496/17249876309) x)) 1728/707281) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal 746496/17249876309 binary64)) (neg.f64 x)) #s(literal 1728/707281 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 139314069504/10260628712958602189 (/ 1 x)) 322486272/420707233300201) x)) 746496/17249876309) x)) 1728/707281) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal 322486272/420707233300201 binary64)) (neg.f64 x)) #s(literal 746496/17249876309 binary64)) (neg.f64 x)) #s(literal 1728/707281 binary64)) (neg.f64 x))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(- (* -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))

rewrite540.0ms (9.2%)

Memory

0.1MiB live, 159.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	201
0	69	193
1	218	177
2	1391	169
0	9315	169

Stop Event

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

Counts

24 → 762

Calls

Call 1

Inputs
(fma.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 841/108 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 4/29 binary64))
(/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
(*.f64 #s(literal 841/108 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(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 #s(literal 707281/11664 binary64) (.f64 x x))))
(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
(*.f64 x x)
(fma.f64 #s(literal 707281/11664 binary64) (.f64 x #s(approx (/ x (+ ( 841/108 x) 4/29)) #s(literal 108/841 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(.f64 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))
(fma.f64 #s(literal 707281/11664 binary64) (.f64 x (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (+ ( 841/108 x) 4/29)) (/.f64 #s(literal 1728/707281 binary64) x)))
(*.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 #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)))
#s(approx (/ 16/841 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 1728/707281 binary64) x))
(/.f64 #s(literal 1728/707281 binary64) x)

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

eval150.0ms (2.6%)

Memory: 1.7MiB live, 155.0MiB allocated
Compiler: Compiled 24 429 to 2 178 computations (91.1% saved)

prune37.0ms (0.6%)

Memory

4.9MiB live, 43.4MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	681	2	683
Fresh	1	2	3
Picked	3	2	5
Done	0	4	4
Total	685	10	695

Accuracy

100.0%

Counts

695 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.3%	(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))))
	96.6%	(fma.f64 #s(approx (/ (+ (* -841/108 x) -4/29) 1) (.f64 #s(literal -841/108 binary64) x)) (.f64 #s(literal 841/108 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 4/29 binary64))
✓	99.8%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
	76.6%	(/.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)))
	25.1%	(/.f64 #s(approx (* (- (* 841/108 x) 4/29) (+ (* 841/108 x) 4/29)) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
✓	99.8%	(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
✓	51.7%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
✓	48.2%	#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))))
✓	48.3%	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))
✓	13.1%	#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 544 to 260 computations (52.2% saved)

regimes35.0ms (0.6%)

Memory

-12.0MiB live, 25.3MiB allocated

Counts

26 → 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))
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x))))
(/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(fma.f64 #s(literal 707281/11664 binary64) (.f64 x #s(approx (/ x (+ ( 841/108 x) 4/29)) #s(literal 108/841 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(fma.f64 (.f64 #s(approx (/ x (+ ( 841/108 x) 4/29)) #s(literal 108/841 binary64)) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(/.f64 #s(approx (* (- (* 841/108 x) 4/29) (+ (* 841/108 x) 4/29)) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(/.f64 (.f64 #s(approx (- ( 841/108 x) 4/29) #s(literal -4/29 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
(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 #s(approx (/ (+ (* -841/108 x) -4/29) 1) (.f64 #s(literal -841/108 binary64) x)) (.f64 #s(literal 841/108 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 4/29 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 841/108 binary64))) (sqrt.f64 (.f64 x #s(literal 841/108 binary64))) #s(literal 4/29 binary64))
(fma.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(/.f64 (.f64 (-.f64 (.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 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
(fma.f64 #s(literal 707281/11664 binary64) (.f64 x (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (+ ( 841/108 x) 4/29)) (/.f64 #s(literal 1728/707281 binary64) x)))
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(fma.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 841/108 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 4/29 binary64))
(/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 (.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)) (.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)))) (-.f64 #s(literal 4/29 binary64) (.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64))))
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
(-.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(+.f64 (/.f64 #s(literal 16/841 binary64) #s(approx (- 4/29 (* x 841/108)) (.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x))) (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64)))))
(/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)))

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

Calls

3 calls:

20.0ms	x
7.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
6.0ms	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
99.8%	1	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`

Compiler

Compiled 15 to 15 computations (0% saved)

regimes5.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

3 → 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))

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

Calls

3 calls:

2.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
2.0ms	x
2.0ms	(+.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
99.8%	1	`x`
99.8%	1	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
99.8%	1	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`

Compiler

Compiled 15 to 15 computations (0% saved)

regimes4.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB 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
96.5%	3	`x`
96.5%	3	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
96.5%	3	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`

Compiler

Compiled 15 to 15 computations (0% saved)

regimes4.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB 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
51.7%	1	`x`
51.7%	1	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
51.7%	1	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.065237079021112e-5	0.6216299917418666
0.0ms	-108.43398623441789	-6.525441387495346e-6

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify25.0ms (0.4%)

Memory

-23.0MiB live, 14.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	55
1	51	55
2	93	55
3	151	55
4	208	55
5	224	55
6	224	55

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -100 binary64)) #s(approx (+ ( (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 7378697629483821/73786976294838206464 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
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -100 binary64)) #s(approx (+ ( (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))))
(if (or (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -100 binary64)) (not (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 7378697629483821/73786976294838206464 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))

soundness644.0ms (10.9%)

Memory

-4.5MiB live, 277.6MiB 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	3220	292
4	7950	292
0	8257	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 154 to 90 computations (41.6% saved)

preprocess25.0ms (0.4%)

Memory: 26.8MiB live, 26.8MiB allocated
Compiler: Compiled 144 to 92 computations (36.1% 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	33	126
0	52	120
1	78	120
2	155	120
3	334	120
4	602	120
5	738	120
6	761	120
7	765	120
8	775	120
9	786	120
10	787	120
0	787	113

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

Iter	Nodes	Cost
0	33	126
0	52	120
1	78	120
2	155	120
3	334	120
4	602	120
5	738	120
6	761	120
7	765	120
8	775	120
9	786	120
10	787	120
0	787	113

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (24.2%)

explain120.0ms (2%)

preprocess14.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify8.0ms (0.1%)

localize19.0ms (0.3%)

series2.0ms (0%)

simplify15.0ms (0.2%)

rewrite219.0ms (3.7%)

eval20.0ms (0.3%)

prune17.0ms (0.3%)

simplify23.0ms (0.4%)

localize107.0ms (1.8%)

series16.0ms (0.3%)

simplify124.0ms (2.1%)

rewrite213.0ms (3.6%)

eval91.0ms (1.6%)

prune35.0ms (0.6%)

simplify240.0ms (4.1%)

localize97.0ms (1.6%)

series9.0ms (0.1%)

simplify260.0ms (4.4%)

rewrite277.0ms (4.7%)

eval257.0ms (4.4%)

prune31.0ms (0.5%)

simplify407.0ms (6.9%)

localize160.0ms (2.7%)

series9.0ms (0.2%)

simplify207.0ms (3.5%)

rewrite540.0ms (9.2%)

eval150.0ms (2.6%)

prune37.0ms (0.6%)

regimes35.0ms (0.6%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

simplify25.0ms (0.4%)

soundness644.0ms (10.9%)

preprocess25.0ms (0.4%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	33	126
0	52	120
1	78	120
2	155	120
3	334	120
4	602	120
5	738	120
6	761	120
7	765	120
8	775	120
9	786	120
10	787	120
0	787	113