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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 11 to 11 computations (0% saved)

sample1.2s (26.8%)

Memory

42.0MiB live, 1 361.2MiB allocated; 373ms collecting garbage

Samples

580.0ms	8 254×	0	valid
0.0ms	2×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 393.0ms

ival-div: 248.0ms (63.1% of total)

ival-mult: 75.0ms (19.1% of total)

ival-add: 45.0ms (11.5% of total)

exact: 13.0ms (3.3% of total)

ival-true: 6.0ms (1.5% of total)

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

adjust: 2.0ms (0.5% of total)

Bogosity

explain165.0ms (3.7%)

Memory

-22.7MiB live, 133.4MiB allocated; 26ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

114.0ms

512×

valid

Compiler

Compiled 63 to 31 computations (50.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 38.0ms (85% of total)

ival-mult: 3.0ms (6.7% of total)

ival-add: 2.0ms (4.5% of total)

exact: 1.0ms (2.2% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess15.0ms (0.3%)

Memory

23.4MiB live, 23.4MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 9 computations (0% saved)

simplify4.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize34.0ms (0.8%)

Memory

-2.6MiB live, 38.2MiB allocated; 16ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
accuracy	0.0	(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
accuracy	0.0	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
accuracy	0.13671875	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)

Samples

28.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 14.0ms (69.3% of total)

ival-div: 4.0ms (19.8% of total)

ival-add: 1.0ms (4.9% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Counts

4 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

simplify17.0ms (0.4%)

Memory

-24.7MiB live, 16.4MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

4 → 4

Calls

Call 1

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

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

rewrite198.0ms (4.4%)

Memory

8.3MiB live, 396.2MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 174

Calls

Call 1

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

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

eval24.0ms (0.5%)

Memory: -14.5MiB live, 87.2MiB allocated; 8ms collecting garbage
Compiler: Compiled 5 013 to 600 computations (88% saved)

prune7.0ms (0.2%)

Memory

34.7MiB live, 34.7MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

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

Accuracy

100.0%

Counts

178 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.7%	(fma.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
	45.9%	(fma.f64 (sqrt.f64 (.f64 x #s(literal 841/108 binary64))) (sqrt.f64 (.f64 x #s(literal 841/108 binary64))) #s(literal 4/29 binary64))
▶	46.0%	(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
	77.8%	(/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 (.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)) (.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)))) (-.f64 #s(literal 4/29 binary64) (.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64))))
▶	99.6%	(-.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
▶	99.9%	(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
▶	55.1%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Compiler

Compiled 176 to 128 computations (27.3% saved)

simplify21.0ms (0.5%)

Memory

-19.2MiB live, 27.5MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
cost-diff	0	(*.f64 #s(literal 707281/11664 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
cost-diff	0	(-.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
cost-diff	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	32	128
0	51	128
1	72	128
2	120	128
3	201	128
4	318	128
5	431	128
6	510	128
7	556	128
8	560	128
9	563	128
0	563	126

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

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

localize191.0ms (4.2%)

Memory

18.5MiB live, 208.5MiB allocated; 25ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(*.f64 x #s(literal 841/108 binary64))
accuracy	0.0859375	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	0.1015625	(.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
accuracy	0.12013627930532605	(/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
accuracy	0.0	(sqrt.f64 #s(literal 841/108 binary64))
accuracy	0.05078125	(fma.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
accuracy	0.0703125	(.f64 (.f64 x x) #s(literal 841/108 binary64))
accuracy	13.298572486081142	(sqrt.f64 (.f64 (.f64 x x) #s(literal 841/108 binary64)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.04296875	(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x))
accuracy	0.05859375	(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
accuracy	0.0859375	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	12.257084985999995	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
accuracy	0.0	(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
accuracy	0.05859375	(*.f64 #s(literal -841/108 binary64) x)

Samples

102.0ms	138×	0	invalid
67.0ms	116×	0	valid
1.0ms	1×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 134 to 35 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-add: 46.0ms (43% of total)

const: 28.0ms (26.2% of total)

ival-mult: 16.0ms (15% of total)

ival-div: 7.0ms (6.5% of total)

ival-sqrt: 6.0ms (5.6% of total)

ival-sub: 3.0ms (2.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series36.0ms (0.8%)

Memory

-15.5MiB live, 30.5MiB allocated; 4ms collecting garbage

Counts

17 → 48

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

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

Calls

3 calls:

Time	Variable		Point	Expression
25.0ms	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) (- (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (/ 16/841 (- (* x 841/108) 4/29))) (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (/ x (- (* x 841/108) 4/29)) (sqrt 841/108) (/ 16/841 (- (* x 841/108) 4/29)) (* x 841/108))
5.0ms	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) (- (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (/ 16/841 (- (* x 841/108) 4/29))) (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (/ x (- (* x 841/108) 4/29)) (sqrt 841/108) (/ 16/841 (- (* x 841/108) 4/29)) (* x 841/108))
5.0ms	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) (- (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (/ 16/841 (- (* x 841/108) 4/29))) (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (/ x (- (* x 841/108) 4/29)) (sqrt 841/108) (/ 16/841 (- (* x 841/108) 4/29)) (* x 841/108))

Time

Variable

Point

Expression

25.0ms

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

5.0ms

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

5.0ms

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

simplify156.0ms (3.5%)

Memory

30.4MiB live, 203.5MiB allocated; 53ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	398
1	463	379
2	1147	363
3	3106	353
0	8345	346

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

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

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

rewrite253.0ms (5.6%)

Memory

7.9MiB live, 337.3MiB allocated; 82ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	105
0	51	83
1	162	82
2	1035	81
0	10086	76

Stop Event

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

Counts

17 → 1 361

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

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

eval111.0ms (2.5%)

Memory: -19.2MiB live, 181.2MiB allocated; 56ms collecting garbage
Compiler: Compiled 17 528 to 1 868 computations (89.3% saved)

prune15.0ms (0.3%)

Memory

2.9MiB live, 48.4MiB allocated; 5ms collecting garbage

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	661	4	665
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	666	7	673

Accuracy

100.0%

Counts

673 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
▶	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	76.4%	(/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
▶	99.6%	(-.f64 #s(literal 4/29 binary64) (.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64))) x))
✓	99.9%	(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
✓	55.1%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
▶	47.0%	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))

Compiler

Compiled 114 to 96 computations (15.8% saved)

simplify57.0ms (1.3%)

Memory

-10.9MiB live, 34.0MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (sqrt.f64 #s(literal 841/108 binary64)))
cost-diff	0	(.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64))) x)
cost-diff	1	(-.f64 #s(literal 4/29 binary64) (.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64))) x))
cost-diff	5	(*.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 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 x x)
cost-diff	0	(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
cost-diff	0	(/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
cost-diff	1	(-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x)))
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	26	112
0	42	102
1	75	92
2	169	92
3	379	91
4	653	91
5	826	87
6	880	87
7	897	87
8	907	87
9	918	87
10	919	87
0	919	84

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize111.0ms (2.5%)

Memory

22.9MiB live, 167.1MiB allocated; 22ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 #s(literal 841/108 binary64))
accuracy	0.0	(neg.f64 (sqrt.f64 #s(literal 841/108 binary64)))
accuracy	0.13671875	(.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64))) x)
accuracy	1.0	(*.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)))
accuracy	0.0	(sqrt.f64 #s(literal 841/108 binary64))
accuracy	0.125	(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
accuracy	0.17578125	(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
accuracy	0.0078125	(-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x)))
accuracy	0.078125	(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
accuracy	0.1586223840380844	(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
accuracy	14.304929807849161	(/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
accuracy	0.13671875	(*.f64 #s(literal 841/108 binary64) x)
accuracy	49.96649087542543	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))
accuracy	0.078125	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))

Samples

96.0ms

256×

valid

Compiler

Compiled 114 to 27 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 20.0ms (44.2% of total)

const: 12.0ms (26.5% of total)

ival-add: 4.0ms (8.8% of total)

ival-sqrt: 3.0ms (6.6% of total)

ival-div: 2.0ms (4.4% of total)

ival-sub: 2.0ms (4.4% of total)

ival-neg: 1.0ms (2.2% of total)

adjust: 0.0ms (0% of total)

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

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

series7.0ms (0.2%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Counts

15 → 27

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

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

simplify165.0ms (3.7%)

Memory

-13.5MiB live, 214.7MiB allocated; 29ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	186
1	247	178
2	580	176
3	1401	169
4	4842	169
0	8226	153

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

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

rewrite257.0ms (5.7%)

Memory

-30.3MiB live, 244.2MiB allocated; 102ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	94
0	42	70
1	158	61
2	1009	59
0	9358	58

Stop Event

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

Counts

15 → 1 416

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

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

eval173.0ms (3.8%)

Memory: -4.3MiB live, 88.5MiB allocated; 16ms collecting garbage
Compiler: Compiled 10 789 to 1 323 computations (87.7% saved)

prune9.0ms (0.2%)

Memory

24.6MiB live, 24.6MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	497	4	501
Fresh	0	0	0
Picked	2	3	5
Done	0	2	2
Total	499	9	508

Accuracy

100.0%

Counts

508 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	76.4%	(/.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)))
▶	24.9%	(/.f64 #s(approx (- 16/841 (* -707281/11664 (* x x))) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
✓	99.6%	(-.f64 #s(literal 4/29 binary64) (.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64))) x))
✓	99.9%	(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
✓	55.1%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
▶	46.8%	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64))))
✓	47.0%	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))
▶	14.1%	#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 111 to 91 computations (18% saved)

simplify26.0ms (0.6%)

Memory

-27.7MiB live, 19.3MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	144
0	44	142
1	73	142
2	153	134
3	350	134
4	579	132
5	766	132
6	824	124
7	860	124
8	885	124
9	900	124
10	905	124
0	905	122

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize120.0ms (2.7%)

Memory

10.9MiB live, 107.8MiB allocated; 13ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64))
accuracy	0.078125	(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
accuracy	0.19921875	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	14.304929807849161	(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
accuracy	0.078125	(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
accuracy	0.1586223840380844	(.f64 (.f64 x x) #s(literal 707281/11664 binary64))
accuracy	14.304929807849161	(/.f64 #s(approx (- 16/841 (* -707281/11664 (* x x))) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
accuracy	33.485417108905274	#s(approx (- 16/841 (* -707281/11664 (* x x))) (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))
accuracy	0.0	(sqrt.f64 #s(literal 841/108 binary64))
accuracy	0.17578125	(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
accuracy	0.33203125	(.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)))
accuracy	49.96649087542543	#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	0.0	(*.f64 x x)
accuracy	0.1586223840380844	(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
accuracy	30.8559855150145	(sqrt.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))
accuracy	33.3453532038153	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x))))

Samples

105.0ms

256×

valid

Compiler

Compiled 125 to 28 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-mult: 65.0ms (70.4% of total)

const: 15.0ms (16.2% of total)

ival-sqrt: 5.0ms (5.4% of total)

ival-div: 3.0ms (3.2% of total)

ival-add: 3.0ms (3.2% of total)

ival-sub: 1.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

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

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

series6.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Counts

15 → 26

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify143.0ms (3.2%)

Memory

11.4MiB live, 199.9MiB allocated; 28ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	191
1	231	169
2	514	167
3	1293	160
4	4648	160
0	8118	146

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 26

Calls

Call 1

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

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

rewrite280.0ms (6.2%)

Memory

-13.6MiB live, 134.0MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	124
0	44	111
1	140	95
2	863	87
0	9366	87

Stop Event

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

Counts

15 → 846

Calls

Call 1

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

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

eval107.0ms (2.4%)

Memory: 11.7MiB live, 101.9MiB allocated; 8ms collecting garbage
Compiler: Compiled 14 749 to 1 660 computations (88.7% saved)

prune135.0ms (3%)

Memory

10.4MiB live, 53.5MiB allocated; 7ms collecting garbage

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	578	1	579
Fresh	0	0	0
Picked	1	3	4
Done	0	5	5
Total	579	9	588

Accuracy

100.0%

Counts

588 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
✓	24.9%	(/.f64 #s(approx (- 16/841 (* -707281/11664 (* x x))) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
✓	99.6%	(-.f64 #s(literal 4/29 binary64) (.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64))) x))
✓	99.9%	(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
✓	55.1%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
✓	46.8%	#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (.f64 (.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64))))
✓	47.0%	#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 (fabs.f64 (.f64 #s(literal -707281/11664 binary64) x)) x)))
✓	14.1%	#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 346 to 187 computations (46% saved)

regimes63.0ms (1.4%)

Memory

-25.2MiB live, 33.5MiB allocated; 14ms collecting garbage

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

52.0ms	x
5.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
5.0ms	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))

Results

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

Compiler

Compiled 15 to 15 computations (0% saved)

regimes4.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(approx (+ (* (sqrt (* (* x 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
98.7%	3	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`
98.7%	3	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
98.7%	3	`x`

Compiler

Compiled 15 to 15 computations (0% saved)

regimes7.0ms (0.2%)

Memory

-36.3MiB live, 9.1MiB allocated; 3ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
1.0ms	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
1.0ms	x

Results

Accuracy	Segments	Branch
55.1%	1	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`
55.1%	1	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
55.1%	1	`x`

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch41.0ms (0.9%)

Memory

17.8MiB live, 63.7MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	6.892902141111966e-24	162.24835259462802
14.0ms	-16.08042219332681	-2.993839301979434e-11

Samples

16.0ms

336×

valid

Compiler

Compiled 558 to 538 computations (3.6% saved)

Precisions

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

ival-div: 5.0ms (54.2% of total)

ival-mult: 2.0ms (21.7% of total)

ival-add: 1.0ms (10.8% of total)

exact: 1.0ms (10.8% of total)

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

adjust: 0.0ms (0% of total)

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

simplify12.0ms (0.3%)

Memory

26.0MiB live, 26.0MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x #s(literal -1261007895663739/72057594037927936 binary64)) #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 x #s(literal 1261007895663739/72057594037927936 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))))

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

Outputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(if (<=.f64 x #s(literal -1261007895663739/72057594037927936 binary64)) #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 x #s(literal 1261007895663739/72057594037927936 binary64)) #s(approx (+ ( (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))))
(if (or (<=.f64 x #s(literal -1261007895663739/72057594037927936 binary64)) (not (<=.f64 x #s(literal 1261007895663739/72057594037927936 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))

derivations304.0ms (6.7%)

Memory

-21.7MiB live, 124.7MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	398
1	463	379
2	1147	363
3	3106	353
0	8345	346
0	9	10
0	15	10
1	32	10
2	153	10
3	1184	10
0	8573	9
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×	fuel
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 50 to 30 computations (40% saved)

preprocess23.0ms (0.5%)

Memory: 11.3MiB live, 56.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 118 to 78 computations (33.9% saved)

end0.0ms (0%)

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

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

Iter	Nodes	Cost
0	32	128
0	51	128
1	72	128
2	120	128
3	201	128
4	318	128
5	431	128
6	510	128
7	556	128
8	560	128
9	563	128
0	563	126

Iter	Nodes	Cost
0	26	112
0	42	102
1	75	92
2	169	92
3	379	91
4	653	91
5	826	87
6	880	87
7	897	87
8	907	87
9	918	87
10	919	87
0	919	84

Iter	Nodes	Cost
0	29	144
0	44	142
1	73	142
2	153	134
3	350	134
4	579	132
5	766	132
6	824	124
7	860	124
8	885	124
9	900	124
10	905	124
0	905	122

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	32	128
0	51	128
1	72	128
2	120	128
3	201	128
4	318	128
5	431	128
6	510	128
7	556	128
8	560	128
9	563	128
0	563	126

Iter	Nodes	Cost
0	26	112
0	42	102
1	75	92
2	169	92
3	379	91
4	653	91
5	826	87
6	880	87
7	897	87
8	907	87
9	918	87
10	919	87
0	919	84

Iter	Nodes	Cost
0	29	144
0	44	142
1	73	142
2	153	134
3	350	134
4	579	132
5	766	132
6	824	124
7	860	124
8	885	124
9	900	124
10	905	124
0	905	122

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (26.8%)

explain165.0ms (3.7%)

preprocess15.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize34.0ms (0.8%)

series2.0ms (0%)

simplify17.0ms (0.4%)

rewrite198.0ms (4.4%)

eval24.0ms (0.5%)

prune7.0ms (0.2%)

simplify21.0ms (0.5%)

localize191.0ms (4.2%)

series36.0ms (0.8%)

simplify156.0ms (3.5%)

rewrite253.0ms (5.6%)

eval111.0ms (2.5%)

prune15.0ms (0.3%)

simplify57.0ms (1.3%)

localize111.0ms (2.5%)

series7.0ms (0.2%)

simplify165.0ms (3.7%)

rewrite257.0ms (5.7%)

eval173.0ms (3.8%)

prune9.0ms (0.2%)

simplify26.0ms (0.6%)

localize120.0ms (2.7%)

series6.0ms (0.1%)

simplify143.0ms (3.2%)

rewrite280.0ms (6.2%)

eval107.0ms (2.4%)

prune135.0ms (3%)

regimes63.0ms (1.4%)

regimes4.0ms (0.1%)

regimes7.0ms (0.2%)

bsearch41.0ms (0.9%)

simplify12.0ms (0.3%)

derivations304.0ms (6.7%)

preprocess23.0ms (0.5%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	32	128
0	51	128
1	72	128
2	120	128
3	201	128
4	318	128
5	431	128
6	510	128
7	556	128
8	560	128
9	563	128
0	563	126

Iter	Nodes	Cost
0	26	112
0	42	102
1	75	92
2	169	92
3	379	91
4	653	91
5	826	87
6	880	87
7	897	87
8	907	87
9	918	87
10	919	87
0	919	84

Iter	Nodes	Cost
0	29	144
0	44	142
1	73	142
2	153	134
3	350	134
4	579	132
5	766	132
6	824	124
7	860	124
8	885	124
9	900	124
10	905	124
0	905	122