Metrics for Crypto.Random.Test:calculate from crypto-random-0.0.9

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze46.0ms (0.9%)

Memory

14.0MiB live, 52.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.2s (21.7%)

Memory

-10.2MiB live, 909.9MiB allocated

Samples

698.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 312.0ms

ival-mult: 186.0ms (59.7% of total)

ival-div: 75.0ms (24.1% of total)

ival-add: 40.0ms (12.8% of total)

ival-true: 7.0ms (2.2% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain77.0ms (1.4%)

Memory

-15.7MiB live, 148.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
36	1	(1.9513298063826252e+167 3.388214744147989e-276 -5.970265582935001e-229)	1	(6.274688416411629e-209 -8.249165562619339e-156 -2.6078706614110947e-50)	`(/.f64 (*.f64 y y) z)`
0	0	-	0	-	`(+.f64 x (/.f64 (*.f64 y y) z))`
0	0	-	0	-	`y`
0	0	-	0	-	`(*.f64 y y)`
0	0	-	0	-	`z`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 y y) z)`	o/n	20	0
↳	`(*.f64 y y)`	overflow	67
`/.f64`	`(/.f64 (*.f64 y y) z)`	u/n	2	0
↳	`(*.f64 y y)`	underflow	68

Confusion

	Predicted +	Predicted -
+	21	0
-	1	234

Precision

0.9545454545454546

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	21	0	0
-	1	0	234

Precision?

0.9545454545454546

Recall?

1.0

Freqs

test

number	freq
0	234
1	22

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 4.0ms (37.9% of total)

ival-mult: 4.0ms (37.9% of total)

ival-add: 2.0ms (18.9% of total)

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

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

preprocess62.0ms (1.1%)

Memory

13.2MiB live, 52.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	68
1	72	64
2	175	64
3	519	64
4	1164	64
5	1897	64
6	2027	64
7	2087	64
8	2133	64
9	2145	64
0	6	7
0	9	7
1	12	7
2	13	7
0	13	6

Stop Event

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

Calls

Call 1

Inputs
(+.f64 x (/.f64 (*.f64 y y) z))

Outputs
(+.f64 x (/.f64 (*.f64 y y) z))
(fma.f64 (/.f64 y z) y x)

Symmetry

(abs y)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.3%	(+.f64 x (/.f64 (*.f64 y y) z))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 (*.f64 y y) z)
cost-diff	128	(+.f64 x (/.f64 (*.f64 y y) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	12	18
2	13	18
0	13	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 x (/.f64 (*.f64 y y) z))
x
(/.f64 (*.f64 y y) z)
(*.f64 y y)
y
z

Outputs
(+.f64 x (/.f64 (*.f64 y y) z))
(fma.f64 (/.f64 y z) y x)
x
(/.f64 (*.f64 y y) z)
(*.f64 y y)
y
z

localize37.0ms (0.7%)

Memory

-15.4MiB live, 63.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.00390625	(+.f64 x (/.f64 (*.f64 y y) z))
accuracy	8.190564088560153	(/.f64 (*.f64 y y) z)

Samples

27.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 6.0ms (52.2% of total)

ival-div: 3.0ms (26.1% of total)

ival-add: 2.0ms (17.4% of total)

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

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

series10.0ms (0.2%)

Memory

23.0MiB live, 23.0MiB allocated

Counts

3 → 8

Calls

Call 1

Inputs
(+.f64 x (/.f64 (*.f64 y y) z))
(/.f64 (*.f64 y y) z)
(*.f64 y y)

Outputs
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(pow y 2)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (+ (* x z) (pow y 2)) z)

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	((+ x (/ (* y y) z)) (/ (* y y) z) (* y y))
1.0ms	y	@	0	((+ x (/ (* y y) z)) (/ (* y y) z) (* y y))
1.0ms	y	@	-inf	((+ x (/ (* y y) z)) (/ (* y y) z) (* y y))
1.0ms	z	@	-inf	((+ x (/ (* y y) z)) (/ (* y y) z) (* y y))
1.0ms	z	@	0	((+ x (/ (* y y) z)) (/ (* y y) z) (* y y))

simplify158.0ms (2.9%)

Memory

-23.5MiB live, 139.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	46
1	58	46
2	150	46
3	489	46
4	2240	46
5	4077	46
6	6068	46
7	7783	46
0	8068	41

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 7

Calls

Call 1

Inputs
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(pow y 2)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (+ (* x z) (pow y 2)) z)

Outputs
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (/.f64 y z) y x)
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (/.f64 y z) y x)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 z x (*.f64 y y)) z)

rewrite192.0ms (3.6%)

Memory

26.7MiB live, 95.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	35	15
2	269	15
3	4534	15
0	8159	14

Stop Event

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

Counts

3 → 147

Calls

Call 1

Inputs
(+.f64 x (/.f64 (*.f64 y y) z))
(/.f64 (*.f64 y y) z)
(*.f64 y y)

Outputs
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z))))
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z)) (-.f64 (.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (-.f64 (.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (fma.f64 (/.f64 y z) y x))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 (/.f64 y z) y x) (*.f64 x x)))
(.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x)) (pow.f64 (-.f64 (/.f64 (*.f64 y y) z) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 x (/.f64 (.f64 y y) z)) #s(literal -1 binary64)) (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (.f64 y y) z)) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (.f64 y y) z)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x))
(.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (/.f64 (fma.f64 (/.f64 y z) y x) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))))
(.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (.f64 (fma.f64 (/.f64 y z) y x) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) #s(literal -1 binary64))))
(.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (/.f64 y z) y x) (/.f64 (-.f64 x (/.f64 (.f64 y y) z)) (-.f64 x (/.f64 (*.f64 y y) z))))
(.f64 (fma.f64 (/.f64 y z) y x) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (pow.f64 (-.f64 x (/.f64 (.f64 y y) z)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 (/.f64 (.f64 y y) z) x) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -4 binary64))) (pow.f64 (-.f64 x (/.f64 (.f64 y y) z)) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) (pow.f64 (-.f64 x (/.f64 (.f64 y y) z)) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 z #s(literal -4 binary64)) (pow.f64 (.f64 (/.f64 (*.f64 y y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) #s(literal -1 binary64))) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 z #s(literal -9 binary64)) (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) #s(literal -1 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) (pow.f64 (.f64 (/.f64 (.f64 y y) z) x) #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) z)) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z))))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x (/.f64 (.f64 y y) z)) #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64)) (pow.f64 (-.f64 x (/.f64 (.f64 y y) z)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) z)) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) z))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (/.f64 (.f64 y y) z) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 y y) z))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (-.f64 x (/.f64 (*.f64 y y) z))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 z #s(literal -4 binary64)) (pow.f64 (.f64 (/.f64 (.f64 y y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (/.f64 (.f64 y y) z))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))))
(/.f64 (.f64 (fma.f64 (pow.f64 z #s(literal -9 binary64)) (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) (pow.f64 (.f64 (/.f64 (.f64 y y) z) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 y y) z))) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)))) (pow.f64 (-.f64 x (/.f64 (*.f64 y y) z)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -4 binary64))) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (/.f64 (.f64 y y) z) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (+.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 z #s(literal -4 binary64)) (pow.f64 (.f64 (/.f64 (*.f64 y y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) (.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (fma.f64 (pow.f64 z #s(literal -9 binary64)) (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) (pow.f64 (.f64 (/.f64 (.f64 y y) z) x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 y y) z)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (-.f64 x (/.f64 (*.f64 y y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 y y) z) x) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)))) (-.f64 x (/.f64 (*.f64 y y) z))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z))))))
(neg.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 y y) z))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))))))
(fma.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 y) y))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) z))) x)
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 (/.f64 y z) y x) (.f64 x x)) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)))) (fma.f64 (/.f64 y z) y x) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z))))
(fma.f64 (pow.f64 (/.f64 z (.f64 y y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -1/2 binary64)) x)
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 y z) x)
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z) x)
(fma.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 y z) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x)
(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
(fma.f64 (neg.f64 y) (/.f64 y (neg.f64 z)) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y z)) x)
(fma.f64 (/.f64 y z) (*.f64 y #s(literal 1 binary64)) x)
(fma.f64 (/.f64 y z) y x)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 (*.f64 y y) z))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x (/.f64 (.f64 y y) z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) z))))
(fma.f64 (.f64 (neg.f64 y) y) (.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64) x)
(fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) x)
(fma.f64 y (*.f64 (/.f64 y z) #s(literal 1 binary64)) x)
(fma.f64 y (/.f64 y z) x)
(fma.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z))) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z))))
(fma.f64 x #s(literal 1 binary64) (/.f64 (*.f64 y y) z))
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 y y) z) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y y) z) x)))
(-.f64 (.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) z)))
(-.f64 x (*.f64 (neg.f64 y) (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) z))))
(+.f64 (/.f64 (*.f64 y y) z) x)
(+.f64 x (/.f64 (*.f64 y y) z))
(.f64 (exp.f64 (log.f64 (.f64 (neg.f64 y) y))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) z))))
(.f64 (pow.f64 (/.f64 z (.f64 y y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 y z))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z))
(.f64 (.f64 #s(literal 1 binary64) y) (/.f64 y z))
(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 y) y))
(.f64 (neg.f64 y) (.f64 y (/.f64 #s(literal -1 binary64) z)))
(*.f64 (neg.f64 y) (/.f64 y (neg.f64 z)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y z)))
(.f64 (/.f64 y z) (.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 y z) y)
(.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 y y))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) z))
(.f64 (.f64 (neg.f64 y) y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z))
(.f64 (/.f64 (.f64 y y) z) #s(literal 1 binary64))
(.f64 (.f64 y y) (pow.f64 z #s(literal -1 binary64)))
(.f64 y (.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 y (/.f64 y z))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 z (*.f64 y y))))
(pow.f64 (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 z (*.f64 y y)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))))
(/.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 y) y))) (exp.f64 (log.f64 (neg.f64 z))))
(/.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) z)
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 z y))
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 z y))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y)))
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(neg.f64 (.f64 (.f64 (neg.f64 y) (/.f64 y z)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (neg.f64 y) (/.f64 y z)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 y) (/.f64 y z)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (/.f64 y z)))
(exp.f64 (-.f64 (neg.f64 (log.f64 z)) (neg.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y y) z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 (*.f64 y y) z)))
(*.f64 (neg.f64 (neg.f64 y)) y)
(.f64 (.f64 #s(literal 1 binary64) y) y)
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 y (neg.f64 (neg.f64 y)))
(.f64 y (.f64 y #s(literal 1 binary64)))
(*.f64 y y)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 y) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y))
(exp.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))
(exp.f64 (.f64 (neg.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval28.0ms (0.5%)

Memory: -4.9MiB live, 30.3MiB allocated
Compiler: Compiled 2 705 to 430 computations (84.1% saved)

prune6.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	143	8	151
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	143	9	152

Accuracy

100.0%

Counts

152 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 y z) y x)
	92.3%	(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x)
▶	99.8%	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
✓	92.3%	(+.f64 x (/.f64 (*.f64 y y) z))
▶	99.9%	(+.f64 x (/.f64 y (/.f64 z y)))
	92.3%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
▶	92.7%	(+.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))))
	80.3%	#s(approx (+ x (/ (* y y) z)) (/.f64 (fma.f64 z x (*.f64 y y)) z))
▶	41.9%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))

Compiler

Compiled 165 to 134 computations (18.8% saved)

simplify74.0ms (1.4%)

Memory

-39.4MiB live, 14.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 y #s(literal -2 binary64))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))
cost-diff	384	(+.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))))
cost-diff	0	(/.f64 z y)
cost-diff	128	(+.f64 x (/.f64 y (/.f64 z y)))
cost-diff	384	(/.f64 y (/.f64 z y))
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	0	(neg.f64 y)
cost-diff	192	(*.f64 y (/.f64 #s(literal -1 binary64) z))
cost-diff	256	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 (*.f64 y y) z)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
cost-diff	0	(/.f64 y z)
cost-diff	0	(fma.f64 (/.f64 y z) y x)

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	110
0	43	105
1	66	102
2	115	102
3	211	102
4	378	102
5	674	102
6	1011	102
7	1474	102
8	1925	102
9	2174	102
10	2266	102
11	2298	102
12	2300	102
13	2300	102
0	2300	102

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (/.f64 y z) y x)
(/.f64 y z)
y
z
x
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
(/.f64 (*.f64 y y) z)
(*.f64 y y)
y
z
(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
(neg.f64 y)
y
(*.f64 y (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
x
(+.f64 x (/.f64 y (/.f64 z y)))
x
(/.f64 y (/.f64 z y))
y
(/.f64 z y)
z
(+.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))))
x
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))
#s(literal -1 binary64)
(*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))
(neg.f64 z)
z
(pow.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)

Outputs
(fma.f64 (/.f64 y z) y x)
(/.f64 y z)
y
z
x
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
(/.f64 (*.f64 y y) z)
(*.f64 (/.f64 y z) y)
(*.f64 y y)
y
z
(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
(fma.f64 (/.f64 y z) y x)
(neg.f64 y)
y
(*.f64 y (/.f64 #s(literal -1 binary64) z))
(/.f64 (neg.f64 y) z)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
x
(+.f64 x (/.f64 y (/.f64 z y)))
(fma.f64 (/.f64 y z) y x)
x
(/.f64 y (/.f64 z y))
(*.f64 (/.f64 y z) y)
y
(/.f64 z y)
z
(+.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))))
(-.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) z)))
x
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) z)
#s(literal -1 binary64)
(*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 z))
(neg.f64 z)
z
(pow.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)

localize104.0ms (1.9%)

Memory

23.7MiB live, 137.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(pow.f64 y #s(literal -2 binary64))
accuracy	0.00390625	(+.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))))
accuracy	0.3554914744792097	(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))
accuracy	8.211628157634463	(*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))
accuracy	0.0	(/.f64 z y)
accuracy	0.00390625	(+.f64 x (/.f64 y (/.f64 z y)))
accuracy	0.125	(/.f64 y (/.f64 z y))
accuracy	0.0	(/.f64 #s(literal -1 binary64) z)
accuracy	0.0	(neg.f64 y)
accuracy	0.0546875	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
accuracy	0.19140625	(*.f64 y (/.f64 #s(literal -1 binary64) z))
accuracy	0.0	(*.f64 y y)
accuracy	8.190564088560153	(/.f64 (*.f64 y y) z)
accuracy	32.801471506067934	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
accuracy	0.0	(/.f64 y z)
accuracy	0.0546875	(fma.f64 (/.f64 y z) y x)

Samples

89.0ms

256×

valid

Compiler

Compiled 218 to 51 computations (76.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 32.0ms (51.4% of total)

ival-div: 11.0ms (17.7% of total)

ival-neg: 10.0ms (16.1% of total)

ival-add: 6.0ms (9.6% of total)

ival-pow: 3.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

series76.0ms (1.4%)

Memory

3.0MiB live, 47.0MiB allocated

Counts

17 → 16

Calls

Call 1

Inputs
(fma.f64 (/.f64 y z) y x)
(/.f64 y z)
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
(/.f64 (*.f64 y y) z)
(*.f64 y y)
(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
(*.f64 y (/.f64 #s(literal -1 binary64) z))
(neg.f64 y)
(/.f64 #s(literal -1 binary64) z)
(/.f64 y (/.f64 z y))
(+.f64 x (/.f64 y (/.f64 z y)))
(/.f64 z y)
(+.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))
(neg.f64 z)
(pow.f64 y #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))

Outputs
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(/ y z)
(pow y 2)
(* -1 (/ y z))
(* -1 y)
(/ z y)
(* -1 (/ z (pow y 2)))
(/ 1 (pow y 2))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (+ (* x z) (pow y 2)) z)
(/ -1 z)
(* -1 z)

Calls

9 calls:

Time	Variable		Point	Expression
63.0ms	y	@	0	((+ (* (/ y z) y) x) (/ y z) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (neg y) (* y (/ -1 z))) x) (* y (/ -1 z)) (neg y) (/ -1 z) (/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y) (+ x (/ -1 (* (neg z) (pow y -2)))) (* (neg z) (pow y -2)) (neg z) (pow y -2) (/ -1 (* (neg z) (pow y -2))))
3.0ms	z	@	inf	((+ (* (/ y z) y) x) (/ y z) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (neg y) (* y (/ -1 z))) x) (* y (/ -1 z)) (neg y) (/ -1 z) (/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y) (+ x (/ -1 (* (neg z) (pow y -2)))) (* (neg z) (pow y -2)) (neg z) (pow y -2) (/ -1 (* (neg z) (pow y -2))))
2.0ms	z	@	0	((+ (* (/ y z) y) x) (/ y z) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (neg y) (* y (/ -1 z))) x) (* y (/ -1 z)) (neg y) (/ -1 z) (/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y) (+ x (/ -1 (* (neg z) (pow y -2)))) (* (neg z) (pow y -2)) (neg z) (pow y -2) (/ -1 (* (neg z) (pow y -2))))
2.0ms	y	@	-inf	((+ (* (/ y z) y) x) (/ y z) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (neg y) (* y (/ -1 z))) x) (* y (/ -1 z)) (neg y) (/ -1 z) (/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y) (+ x (/ -1 (* (neg z) (pow y -2)))) (* (neg z) (pow y -2)) (neg z) (pow y -2) (/ -1 (* (neg z) (pow y -2))))
2.0ms	y	@	inf	((+ (* (/ y z) y) x) (/ y z) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (neg y) (* y (/ -1 z))) x) (* y (/ -1 z)) (neg y) (/ -1 z) (/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y) (+ x (/ -1 (* (neg z) (pow y -2)))) (* (neg z) (pow y -2)) (neg z) (pow y -2) (/ -1 (* (neg z) (pow y -2))))

simplify180.0ms (3.4%)

Memory

-25.6MiB live, 52.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	74
1	77	74
2	182	74
3	543	74
4	2300	74
5	4245	74
6	6443	74
0	8079	69

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 15

Calls

Call 1

Inputs
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(/ y z)
(pow y 2)
(* -1 (/ y z))
(* -1 y)
(/ z y)
(* -1 (/ z (pow y 2)))
(/ 1 (pow y 2))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (+ (* x z) (pow y 2)) z)
(/ -1 z)
(* -1 z)

Outputs
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (/.f64 y z) y x)
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (/.f64 y z) y x)
(/ y z)
(/.f64 y z)
(pow y 2)
(*.f64 y y)
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(* -1 y)
(neg.f64 y)
(/ z y)
(/.f64 z y)
(* -1 (/ z (pow y 2)))
(/.f64 (/.f64 (neg.f64 z) y) y)
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 x z (*.f64 y y)) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(* -1 z)
(neg.f64 z)

rewrite198.0ms (3.7%)

Memory

35.1MiB live, 149.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	93
0	43	81
1	164	80
2	1192	80
0	8304	80

Stop Event

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

Counts

17 → 762

Calls

Call 1

Inputs
(fma.f64 (/.f64 y z) y x)
(/.f64 y z)
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
(/.f64 (*.f64 y y) z)
(*.f64 y y)
(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
(*.f64 y (/.f64 #s(literal -1 binary64) z))
(neg.f64 y)
(/.f64 #s(literal -1 binary64) z)
(/.f64 y (/.f64 z y))
(+.f64 x (/.f64 y (/.f64 z y)))
(/.f64 z y)
(+.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))
(neg.f64 z)
(pow.f64 y #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))

Outputs
(.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x)) (pow.f64 (-.f64 (*.f64 (/.f64 y z) y) x) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 y z) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (.f64 (/.f64 y z) y)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (*.f64 (/.f64 y z) y)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (/.f64 y z) y) (-.f64 (.f64 (/.f64 y z) y) x) (.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 y z) y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (/.f64 y z) y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 y z) y) x)) (/.f64 (pow.f64 (.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 y z) y) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (/.f64 y z) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (/.f64 y z) y) x)) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 y z) y) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (/.f64 y z) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (.f64 (/.f64 y z) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (/.f64 y z) y))) (/.f64 (.f64 x x) (-.f64 x (.f64 (/.f64 y z) y))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (.f64 (/.f64 y z) y))) (/.f64 (pow.f64 (.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (.f64 (/.f64 y z) y))) (.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (/.f64 y z) y))) (/.f64 (pow.f64 (.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y z) y)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (neg.f64 y) z) y) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (*.f64 (/.f64 (neg.f64 y) z) y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (.f64 (/.f64 y z) y) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 y z) y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (*.f64 (/.f64 y z) y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (/.f64 y z) y)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (/.f64 y z) y) (-.f64 (.f64 (/.f64 y z) y) x) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 y z) y) x)) (.f64 (-.f64 (.f64 (/.f64 y z) y) x) (.f64 x x))) (.f64 (-.f64 (.f64 (/.f64 y z) y) x) (-.f64 (*.f64 (/.f64 y z) y) x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x (.f64 (/.f64 y z) y))) (.f64 (-.f64 x (.f64 (/.f64 y z) y)) (pow.f64 (.f64 (/.f64 y z) y) #s(literal 2 binary64)))) (.f64 (-.f64 x (.f64 (/.f64 y z) y)) (-.f64 x (*.f64 (/.f64 y z) y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (.f64 (/.f64 y z) y) x)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 y z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 y z) y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (/.f64 y z) y))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (/.f64 y z) y) (-.f64 (.f64 (/.f64 y z) y) x) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (.f64 (/.f64 y z) y) x))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 y z) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 y z) y)))
(/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (/.f64 y z) y)))))
(/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 y z) y) (-.f64 (.f64 (/.f64 y z) y) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) (/.f64 (neg.f64 y) z) x)
(fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 y (pow.f64 y #s(literal -1 binary64))) x)
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64))) x)
(fma.f64 (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1 binary64))) x)
(fma.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 y z) (pow.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 (neg.f64 y) z) (pow.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 (/.f64 y (pow.f64 (neg.f64 y) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (/.f64 y (pow.f64 y #s(literal -1 binary64))) (pow.f64 z #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1 binary64))) x)
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z) x)
(fma.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)) x)
(fma.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) y x)
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 y z) x)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y (pow.f64 y #s(literal -1 binary64))) x)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) y) #s(literal -1 binary64)) x)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x)
(fma.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64) x)
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) y) x)
(fma.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) x)
(fma.f64 (/.f64 (neg.f64 y) z) (/.f64 y #s(literal -1 binary64)) x)
(fma.f64 (/.f64 (neg.f64 y) z) (neg.f64 y) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (neg.f64 (pow.f64 y #s(literal -1 binary64)))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (pow.f64 (neg.f64 y) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y y) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x)
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 y) z) (pow.f64 y #s(literal -1 binary64))) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) z) y) x)
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) z) x)
(fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) x)
(fma.f64 (/.f64 y z) (/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -1 binary64)))) x)
(fma.f64 (/.f64 y z) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 y z) (/.f64 y #s(literal 1 binary64)) x)
(fma.f64 (/.f64 y z) y x)
(fma.f64 y (/.f64 y z) x)
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 y z) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (/.f64 y z) y) x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (/.f64 y z) y))) (/.f64 (pow.f64 (.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (.f64 (/.f64 y z) y))))
(-.f64 x (*.f64 (/.f64 (neg.f64 y) z) y))
(+.f64 (*.f64 (/.f64 y z) y) x)
(+.f64 x (*.f64 (/.f64 y z) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) y)
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
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(.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 y y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 y) y))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 y) z) (pow.f64 y #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 (neg.f64 y) z) y))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) z))
(.f64 (.f64 y y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 y z) (/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 y z) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 y z) (/.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(pow.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) z) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (/.f64 z y)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (neg.f64 y) z) y) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 #s(literal 0 binary64) (/.f64 z y)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (/.f64 #s(literal 0 binary64) (/.f64 z y)) (*.f64 (/.f64 (neg.f64 y) z) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (/.f64 (neg.f64 y) z) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) z) y)))))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -2 binary64)))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 y) y))) (neg.f64 (neg.f64 (neg.f64 z))))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) #s(literal 1 binary64))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (.f64 (.f64 y y) #s(literal 1 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (/.f64 (neg.f64 z) y))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (/.f64 (neg.f64 z) y))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (.f64 (/.f64 (neg.f64 z) y) y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -2 binary64))) (neg.f64 z))
(/.f64 (.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64)) z)
(/.f64 (neg.f64 (*.f64 (neg.f64 y) y)) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (/.f64 y z)) (neg.f64 (pow.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 y)) (/.f64 z y))
(/.f64 (.f64 (.f64 (neg.f64 y) y) #s(literal 1 binary64)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 z y))
(/.f64 (.f64 (.f64 y y) #s(literal 1 binary64)) z)
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 z y))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64)))))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (.f64 (.f64 (neg.f64 y) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) (*.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) (*.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y z)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) z))
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 z)))
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) y))
(/.f64 (*.f64 y y) z)
(/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64)))
(/.f64 y (/.f64 z y))
(neg.f64 (*.f64 (/.f64 (neg.f64 y) z) y))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (pow.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 (neg.f64 y) z) (pow.f64 y #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z y)) (*.f64 (/.f64 (neg.f64 y) z) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (/.f64 (neg.f64 y) z) y))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) z) y))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) z)) #s(literal -1 binary64)))

eval88.0ms (1.6%)

Memory: -5.7MiB live, 69.8MiB allocated
Compiler: Compiled 5 770 to 1 170 computations (79.7% saved)

prune53.0ms (1%)

Memory

-17.5MiB live, 36.0MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	376	5	381
Fresh	2	1	3
Picked	2	3	5
Done	0	1	1
Total	380	10	390

Accuracy

100.0%

Counts

390 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	99.8%	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
✓	92.3%	(+.f64 x (/.f64 (*.f64 y y) z))
▶	92.3%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
▶	80.3%	#s(approx (+ (* (/ y z) y) x) (/.f64 (fma.f64 x z (*.f64 y y)) z))
	31.5%	#s(approx (+ x (/ (* y y) z)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (.f64 (/.f64 (neg.f64 z) y) y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))))
✓	41.9%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
▶	48.7%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
▶	41.9%	#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) z)))
▶	48.7%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Compiler

Compiled 221 to 158 computations (28.5% saved)

simplify232.0ms (4.3%)

Memory

23.8MiB live, 132.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 y #s(literal -2 binary64))
cost-diff	0	(*.f64 (pow.f64 y #s(literal -2 binary64)) z)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) z))
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) z)))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 x z (*.f64 y y))
cost-diff	0	#s(approx (+ (* (/ y z) y) x) (/.f64 (fma.f64 x z (*.f64 y y)) z))
cost-diff	320	(/.f64 (fma.f64 x z (*.f64 y y)) z)
cost-diff	0	(/.f64 z y)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
cost-diff	384	(/.f64 y (/.f64 z y))
cost-diff	0	(/.f64 y z)
cost-diff	0	(*.f64 (/.f64 y z) y)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 z (*.f64 y y))
cost-diff	128	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	144
0	42	149
1	56	149
2	64	139
3	75	139
4	94	139
5	96	139
6	102	139
7	116	139
8	119	139
9	126	139
10	140	139
11	163	138
12	223	138
13	286	138
14	446	138
15	939	138
16	1381	138
17	1912	138
18	2191	138
19	2521	138
20	2990	138
21	3660	138
22	4307	138
23	4650	138
24	4878	138
25	5088	138
26	5303	138
27	6134	138
28	7341	138
29	7940	138
0	8095	131

Stop Event

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

Calls

Call 1

Inputs
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
x
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y)))
#s(literal 1 binary64)
(/.f64 z (*.f64 y y))
z
(*.f64 y y)
y
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
(*.f64 (/.f64 y z) y)
(/.f64 y z)
y
z
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
(/.f64 y (/.f64 z y))
y
(/.f64 z y)
z
#s(approx (+ (* (/ y z) y) x) (/.f64 (fma.f64 x z (*.f64 y y)) z))
(/.f64 (fma.f64 x z (*.f64 y y)) z)
(fma.f64 x z (*.f64 y y))
x
z
(*.f64 y y)
y
#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) z))
#s(literal 1 binary64)
(*.f64 (pow.f64 y #s(literal -2 binary64)) z)
(pow.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
z

Outputs
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
(fma.f64 (/.f64 y z) y x)
x
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y)))
(/.f64 (*.f64 y y) z)
#s(literal 1 binary64)
(/.f64 z (*.f64 y y))
z
(*.f64 y y)
y
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
#s(approx (+ (* (/ y z) y) x) (/.f64 (*.f64 y y) z))
(*.f64 (/.f64 y z) y)
(/.f64 (*.f64 y y) z)
(/.f64 y z)
y
z
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
#s(approx (+ (* (/ y z) y) x) (/.f64 (*.f64 y y) z))
(/.f64 y (/.f64 z y))
(/.f64 (*.f64 y y) z)
y
(/.f64 z y)
z
#s(approx (+ (* (/ y z) y) x) (/.f64 (fma.f64 x z (*.f64 y y)) z))
#s(approx (+ (* (/ y z) y) x) (fma.f64 (/.f64 y z) y x))
(/.f64 (fma.f64 x z (*.f64 y y)) z)
(fma.f64 (/.f64 y z) y x)
(fma.f64 x z (*.f64 y y))
(fma.f64 z x (*.f64 y y))
x
z
(*.f64 y y)
y
#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) z)))
#s(approx (+ (* (/ y z) y) x) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) z))
#s(literal 1 binary64)
(*.f64 (pow.f64 y #s(literal -2 binary64)) z)
(pow.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
z

localize106.0ms (2%)

Memory

-17.8MiB live, 103.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(pow.f64 y #s(literal -2 binary64))
accuracy	0.3554914744792097	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) z))
accuracy	8.211628157634463	(*.f64 (pow.f64 y #s(literal -2 binary64)) z)
accuracy	32.801471506067934	#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) z)))
accuracy	0.0	(*.f64 y y)
accuracy	0.0	#s(approx (+ (* (/ y z) y) x) (/.f64 (fma.f64 x z (*.f64 y y)) z))
accuracy	0.5039007452111204	(fma.f64 x z (*.f64 y y))
accuracy	12.561155544779652	(/.f64 (fma.f64 x z (*.f64 y y)) z)
accuracy	0.0	(/.f64 z y)
accuracy	0.125	(/.f64 y (/.f64 z y))
accuracy	32.801471506067934	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
accuracy	0.0	(/.f64 y z)
accuracy	0.13671875	(*.f64 (/.f64 y z) y)
accuracy	32.801471506067934	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
accuracy	0.0	(*.f64 y y)
accuracy	0.00390625	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
accuracy	0.3554914744792097	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y)))
accuracy	8.122421827690733	(/.f64 z (*.f64 y y))

Samples

82.0ms

256×

valid

Compiler

Compiled 263 to 52 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-add: 28.0ms (52.5% of total)

ival-div: 15.0ms (28.1% of total)

ival-mult: 7.0ms (13.1% of total)

ival-pow: 3.0ms (5.6% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.3%)

Memory

-10.7MiB live, 27.1MiB allocated

Counts

17 → 19

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
(/.f64 z (*.f64 y y))
(*.f64 y y)
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
(*.f64 (/.f64 y z) y)
(/.f64 y z)
(/.f64 y (/.f64 z y))
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
(/.f64 z y)
(/.f64 (fma.f64 x z (*.f64 y y)) z)
#s(approx (+ (* (/ y z) y) x) (/.f64 (fma.f64 x z (*.f64 y y)) z))
(fma.f64 x z (*.f64 y y))
#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) z))
(*.f64 (pow.f64 y #s(literal -2 binary64)) z)
(pow.f64 y #s(literal -2 binary64))

Outputs
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
(pow y 2)
(+ (* x z) (pow y 2))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x z)
(* x (+ z (/ (pow y 2) x)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (+ (* -1 z) (* -1 (/ (pow y 2) x)))))
(/ z (pow y 2))
(/ y z)
(/ z y)
(/ 1 (pow y 2))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ 1 (/ (* x z) (pow y 2))))
(/ (+ (* x z) (pow y 2)) z)
(* z (+ x (/ (pow y 2) z)))
(* -1 (* z (+ (* -1 x) (* -1 (/ (pow y 2) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	((/ 1 (/ z (* y y))) (+ x (/ 1 (/ z (* y y)))) (/ z (* y y)) (* y y) (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (/ y (/ z y)) (+ x (/ (* y y) z)) (/ z y) (/ (+ (* x z) (* y y)) z) (+ (* (/ y z) y) x) (+ (* x z) (* y y)) (+ x (/ (* y y) z)) (/ 1 (* (pow y -2) z)) (* (pow y -2) z) (pow y -2))
2.0ms	y	@	0	((/ 1 (/ z (* y y))) (+ x (/ 1 (/ z (* y y)))) (/ z (* y y)) (* y y) (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (/ y (/ z y)) (+ x (/ (* y y) z)) (/ z y) (/ (+ (* x z) (* y y)) z) (+ (* (/ y z) y) x) (+ (* x z) (* y y)) (+ x (/ (* y y) z)) (/ 1 (* (pow y -2) z)) (* (pow y -2) z) (pow y -2))
1.0ms	y	@	inf	((/ 1 (/ z (* y y))) (+ x (/ 1 (/ z (* y y)))) (/ z (* y y)) (* y y) (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (/ y (/ z y)) (+ x (/ (* y y) z)) (/ z y) (/ (+ (* x z) (* y y)) z) (+ (* (/ y z) y) x) (+ (* x z) (* y y)) (+ x (/ (* y y) z)) (/ 1 (* (pow y -2) z)) (* (pow y -2) z) (pow y -2))
1.0ms	y	@	-inf	((/ 1 (/ z (* y y))) (+ x (/ 1 (/ z (* y y)))) (/ z (* y y)) (* y y) (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (/ y (/ z y)) (+ x (/ (* y y) z)) (/ z y) (/ (+ (* x z) (* y y)) z) (+ (* (/ y z) y) x) (+ (* x z) (* y y)) (+ x (/ (* y y) z)) (/ 1 (* (pow y -2) z)) (* (pow y -2) z) (pow y -2))
1.0ms	z	@	inf	((/ 1 (/ z (* y y))) (+ x (/ 1 (/ z (* y y)))) (/ z (* y y)) (* y y) (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (/ y (/ z y)) (+ x (/ (* y y) z)) (/ z y) (/ (+ (* x z) (* y y)) z) (+ (* (/ y z) y) x) (+ (* x z) (* y y)) (+ x (/ (* y y) z)) (/ 1 (* (pow y -2) z)) (* (pow y -2) z) (pow y -2))

simplify96.0ms (1.8%)

Memory

20.1MiB live, 139.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	107
1	133	107
2	373	107
3	1308	107
4	2906	107
5	5577	107
0	8186	96

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 18

Calls

Call 1

Inputs
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
(pow y 2)
(+ (* x z) (pow y 2))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x z)
(* x (+ z (/ (pow y 2) x)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (+ (* -1 z) (* -1 (/ (pow y 2) x)))))
(/ z (pow y 2))
(/ y z)
(/ z y)
(/ 1 (pow y 2))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ 1 (/ (* x z) (pow y 2))))
(/ (+ (* x z) (pow y 2)) z)
(* z (+ x (/ (pow y 2) z)))
(* -1 (* z (+ (* -1 x) (* -1 (/ (pow y 2) z)))))

Outputs
(/ (pow y 2) z)
(*.f64 (/.f64 y z) y)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(pow y 2)
(*.f64 y y)
(+ (* x z) (pow y 2))
(fma.f64 x z (*.f64 y y))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (/.f64 y z) y x)
(* x z)
(*.f64 x z)
(* x (+ z (/ (pow y 2) x)))
(fma.f64 x z (*.f64 y y))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (/.f64 y z) y x)
(* -1 (* x (+ (* -1 z) (* -1 (/ (pow y 2) x)))))
(fma.f64 x z (*.f64 y y))
(/ z (pow y 2))
(/.f64 z (*.f64 y y))
(/ y z)
(/.f64 y z)
(/ z y)
(/.f64 z y)
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(* (pow y 2) (+ 1 (/ (* x z) (pow y 2))))
(fma.f64 x z (*.f64 y y))
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 x z (*.f64 y y)) z)
(* z (+ x (/ (pow y 2) z)))
(fma.f64 x z (*.f64 y y))
(* -1 (* z (+ (* -1 x) (* -1 (/ (pow y 2) z)))))
(fma.f64 x z (*.f64 y y))

rewrite181.0ms (3.4%)

Memory

-0.2MiB live, 321.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	126
0	42	118
1	152	118
2	979	118
0	8227	113

Stop Event

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

Counts

17 → 669

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
(/.f64 z (*.f64 y y))
(*.f64 y y)
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
(*.f64 (/.f64 y z) y)
(/.f64 y z)
(/.f64 y (/.f64 z y))
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
(/.f64 z y)
(/.f64 (fma.f64 x z (*.f64 y y)) z)
#s(approx (+ (* (/ y z) y) x) (/.f64 (fma.f64 x z (*.f64 y y)) z))
(fma.f64 x z (*.f64 y y))
#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) z))
(*.f64 (pow.f64 y #s(literal -2 binary64)) z)
(pow.f64 y #s(literal -2 binary64))

Outputs
(*.f64 (/.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 y (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 y z) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (neg.f64 (pow.f64 y #s(literal -1 binary64)))))
(.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 y y))
(*.f64 (/.f64 y (pow.f64 (neg.f64 y) #s(literal -1 binary64))) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) (/.f64 y (neg.f64 z)))
(.f64 (pow.f64 (pow.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 z y)))
(*.f64 (/.f64 y (neg.f64 z)) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 y (neg.f64 z)) (neg.f64 y))
(.f64 (pow.f64 (/.f64 (.f64 y y) z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 y (pow.f64 (neg.f64 y) #s(literal -1 binary64))))
(.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) (.f64 (neg.f64 y) y))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 y z))
(.f64 (.f64 #s(literal 1 binary64) y) (/.f64 y z))
(.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 y y))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (/.f64 z y)))
(.f64 (.f64 (neg.f64 y) y) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (neg.f64 y) y) z))
(*.f64 #s(literal -1 binary64) (/.f64 y (/.f64 (neg.f64 z) y)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 z (.f64 y y))))
(*.f64 (/.f64 y z) y)
(.f64 (/.f64 (.f64 y y) z) #s(literal 1 binary64))
(.f64 (.f64 y y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 y (/.f64 y z))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) z))
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64))
(pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 y) y))) (neg.f64 (neg.f64 (neg.f64 z))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (/.f64 (neg.f64 z) y))
(/.f64 (neg.f64 (.f64 (.f64 y y) #s(literal 1 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (/.f64 (neg.f64 z) y))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) (/.f64 z y))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (/.f64 (neg.f64 z) y))
(/.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) y)) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (neg.f64 y)) (/.f64 z y))
(/.f64 (neg.f64 (/.f64 y z)) (neg.f64 (pow.f64 y #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 y y) #s(literal 1 binary64)) z)
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 z y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 (neg.f64 z) y))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 z y))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) y))
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))
(/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y)))
(neg.f64 (/.f64 (*.f64 (neg.f64 y) y) z))
(neg.f64 (/.f64 y (/.f64 (neg.f64 z) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (/.f64 y (/.f64 (neg.f64 z) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 y (/.f64 (neg.f64 z) y)))
(exp.f64 (log.f64 (/.f64 (*.f64 y y) z)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (.f64 y y) z)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x)) (pow.f64 (-.f64 (/.f64 (*.f64 y y) z) x) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (.f64 y y) z) (-.f64 (/.f64 (.f64 y y) z) x) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 x (/.f64 (.f64 y y) z)) (-.f64 (.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 (.f64 y y) z) x) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 (.f64 y y) z) (-.f64 (/.f64 (.f64 y y) z) x) (*.f64 x x)) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 y y) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (.f64 y y) z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 y y) z))) (/.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 y y) z))) (fma.f64 (/.f64 (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (.f64 y y) z))) (/.f64 (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (.f64 y y) z))) (.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 y y) z))) (/.f64 (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 y y) z)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 y y) z) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y y) z) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 y y) z) x)) (/.f64 (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 y y) z) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y y) z) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y y) z) x)) (.f64 (/.f64 (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 y y) z) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 (*.f64 y y) z)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (.f64 y y) z) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (.f64 y y) z) (-.f64 (/.f64 (.f64 y y) z) x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 y y) z))) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)))) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (-.f64 x (/.f64 (*.f64 y y) z))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 y y) z) x)) (.f64 (-.f64 (/.f64 (.f64 y y) z) x) (.f64 x x))) (.f64 (-.f64 (/.f64 (.f64 y y) z) x) (-.f64 (/.f64 (*.f64 y y) z) x)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (*.f64 y y) z))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (/.f64 (.f64 y y) z) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (.f64 y y) z) (-.f64 (/.f64 (.f64 y y) z) x) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z))))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (-.f64 x (/.f64 (*.f64 y y) z)))
(/.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (/.f64 (.f64 y y) z) x))
(/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 y y) z) (-.f64 (/.f64 (.f64 y y) z) x) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (/.f64 (.f64 y y) z)) (-.f64 (.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 y y) z) x) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 y y) z) (-.f64 (/.f64 (.f64 y y) z) x) (*.f64 x x)) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (.f64 y y) z)) (-.f64 (.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 y y) z) x) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 y y) z) (-.f64 (/.f64 (.f64 y y) z) x) (*.f64 x x)) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (/.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 y z) (pow.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) x)
(fma.f64 (/.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (neg.f64 (pow.f64 y #s(literal -1 binary64)))) x)
(fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y y) x)
(fma.f64 (/.f64 y (pow.f64 (neg.f64 y) #s(literal -1 binary64))) (pow.f64 (neg.f64 z) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) (/.f64 y (neg.f64 z)) x)
(fma.f64 (pow.f64 (pow.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 z) #s(literal -1 binary64)) x)
(fma.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 z y)) x)
(fma.f64 (/.f64 y (neg.f64 z)) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 y (neg.f64 z)) (neg.f64 y) x)
(fma.f64 (pow.f64 (/.f64 (.f64 y y) z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64))) x)
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eval119.0ms (2.2%)

Memory: -23.4MiB live, 101.1MiB allocated
Compiler: Compiled 7 396 to 1 325 computations (82.1% saved)

prune10.0ms (0.2%)

Memory

-6.0MiB live, 33.1MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	412	1	413
Fresh	0	1	1
Picked	0	5	5
Done	0	4	4
Total	412	11	423

Accuracy

100.0%

Counts

423 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	99.8%	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
✓	92.3%	(+.f64 x (/.f64 (*.f64 y y) z))
✓	92.3%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
✓	80.3%	#s(approx (+ (* (/ y z) y) x) (/.f64 (fma.f64 x z (*.f64 y y)) z))
▶	40.9%	#s(approx (+ (* (/ y z) y) x) (/.f64 #s(approx (+ (* x z) (* y y)) (*.f64 x z)) z))
▶	31.5%	#s(approx (+ x (/ (* y y) z)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (.f64 (/.f64 (neg.f64 z) y) y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))))
✓	41.9%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	48.7%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
✓	41.9%	#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) z)))
✓	48.7%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Compiler

Compiled 149 to 106 computations (28.9% saved)

simplify274.0ms (5.1%)

Memory

7.0MiB live, 127.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x z)
cost-diff	0	#s(approx (+ (* x z) (* y y)) (*.f64 x z))
cost-diff	0	(/.f64 #s(approx (+ (* x z) (* y y)) (*.f64 x z)) z)
cost-diff	0	#s(approx (+ (* (/ y z) y) x) (/.f64 #s(approx (+ (* x z) (* y y)) (*.f64 x z)) z))
cost-diff	320	(-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (.f64 (/.f64 (neg.f64 z) y) y))
cost-diff	1024	(*.f64 (/.f64 (neg.f64 z) y) y)
cost-diff	1152	(*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y))
cost-diff	6848	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (.f64 (/.f64 (neg.f64 z) y) y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	139
0	36	108
1	63	102
2	126	94
3	422	90
4	2038	90
5	3974	90
6	5627	90
7	6557	90
8	7165	90
9	7251	90
10	7321	90
11	7788	90
0	8073	85

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ x (/ (* y y) z)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (.f64 (/.f64 (neg.f64 z) y) y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (.f64 (/.f64 (neg.f64 z) y) y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (.f64 (/.f64 (neg.f64 z) y) y))
(*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y))
#s(literal 0 binary64)
(/.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(*.f64 (/.f64 (neg.f64 z) y) y)
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(/.f64 z y)
#s(literal 2 binary64)
#s(approx (+ (* (/ y z) y) x) (/.f64 #s(approx (+ (* x z) (* y y)) (*.f64 x z)) z))
(/.f64 #s(approx (+ (* x z) (* y y)) (*.f64 x z)) z)
#s(approx (+ (* x z) (* y y)) (*.f64 x z))
(*.f64 x z)
x
z

Outputs
#s(approx (+ x (/ (* y y) z)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (.f64 (/.f64 (neg.f64 z) y) y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))))
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (.f64 (/.f64 (neg.f64 z) y) y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(/.f64 (*.f64 y y) z)
(-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (.f64 (/.f64 (neg.f64 z) y) y))
z
(*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y))
#s(literal 0 binary64)
#s(literal 0 binary64)
(/.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(*.f64 (/.f64 (neg.f64 z) y) y)
(neg.f64 z)
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(/.f64 z y)
#s(literal 2 binary64)
#s(approx (+ (* (/ y z) y) x) (/.f64 #s(approx (+ (* x z) (* y y)) (*.f64 x z)) z))
#s(approx (+ x (/ (* y y) z)) (/.f64 #s(approx (+ (* x z) (* y y)) (*.f64 z x)) z))
(/.f64 #s(approx (+ (* x z) (* y y)) (*.f64 x z)) z)
(/.f64 #s(approx (+ (* x z) (* y y)) (*.f64 z x)) z)
#s(approx (+ (* x z) (* y y)) (*.f64 x z))
#s(approx (+ (* x z) (* y y)) (*.f64 z x))
(*.f64 x z)
(*.f64 z x)
x
z

localize69.0ms (1.3%)

Memory

2.5MiB live, 79.7MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x z)
accuracy	0.0	#s(approx (+ (* (/ y z) y) x) (/.f64 #s(approx (+ (* x z) (* y y)) (*.f64 x z)) z))
accuracy	12.561155544779652	(/.f64 #s(approx (+ (* x z) (* y y)) (*.f64 x z)) z)
accuracy	28.93668020641749	#s(approx (+ (* x z) (* y y)) (*.f64 x z))
accuracy	8.592270890595563	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (.f64 (/.f64 (neg.f64 z) y) y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
accuracy	9.105417836920122	(*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y))
accuracy	15.229161149669713	(*.f64 (/.f64 (neg.f64 z) y) y)
accuracy	32.801471506067934	#s(approx (+ x (/ (* y y) z)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (.f64 (/.f64 (neg.f64 z) y) y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))))

Samples

42.0ms

256×

valid

Compiler

Compiled 238 to 50 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 12.0ms (39.1% of total)

ival-div: 10.0ms (32.6% of total)

ival-add: 3.0ms (9.8% of total)

ival-pow2: 3.0ms (9.8% of total)

ival-sub: 1.0ms (3.3% of total)

ival-neg: 1.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

9 → 18

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (.f64 (/.f64 (neg.f64 z) y) y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 (neg.f64 z) y) y)
(-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (.f64 (/.f64 (neg.f64 z) y) y))
#s(approx (+ (* (/ y z) y) x) (/.f64 #s(approx (+ (* x z) (* y y)) (*.f64 x z)) z))
(/.f64 #s(approx (+ (* x z) (* y y)) (*.f64 x z)) z)
#s(approx (+ (* x z) (* y y)) (*.f64 x z))
(*.f64 x z)
#s(approx (+ x (/ (* y y) z)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (.f64 (/.f64 (neg.f64 z) y) y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))))

Outputs
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
(pow y 2)
(+ (* x z) (pow y 2))
(* x z)
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ z (/ (pow y 2) x)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (+ (* -1 z) (* -1 (/ (pow y 2) x)))))
0
(* -1 z)
z
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ 1 (/ (* x z) (pow y 2))))
(/ (+ (* x z) (pow y 2)) z)
(* z (+ x (/ (pow y 2) z)))
(* -1 (* z (+ (* -1 x) (* -1 (/ (pow y 2) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	((/ (- (* 0 (/ (neg z) y)) (* (/ (neg z) y) y)) (pow (/ z y) 2)) (* 0 (/ (neg z) y)) (* (/ (neg z) y) y) (- (* 0 (/ (neg z) y)) (* (/ (neg z) y) y)) (+ (* (/ y z) y) x) (/ (+ (* x z) (* y y)) z) (+ (* x z) (* y y)) (* x z) (+ x (/ (* y y) z)))
1.0ms	z	@	inf	((/ (- (* 0 (/ (neg z) y)) (* (/ (neg z) y) y)) (pow (/ z y) 2)) (* 0 (/ (neg z) y)) (* (/ (neg z) y) y) (- (* 0 (/ (neg z) y)) (* (/ (neg z) y) y)) (+ (* (/ y z) y) x) (/ (+ (* x z) (* y y)) z) (+ (* x z) (* y y)) (* x z) (+ x (/ (* y y) z)))
1.0ms	y	@	-inf	((/ (- (* 0 (/ (neg z) y)) (* (/ (neg z) y) y)) (pow (/ z y) 2)) (* 0 (/ (neg z) y)) (* (/ (neg z) y) y) (- (* 0 (/ (neg z) y)) (* (/ (neg z) y) y)) (+ (* (/ y z) y) x) (/ (+ (* x z) (* y y)) z) (+ (* x z) (* y y)) (* x z) (+ x (/ (* y y) z)))
1.0ms	y	@	inf	((/ (- (* 0 (/ (neg z) y)) (* (/ (neg z) y) y)) (pow (/ z y) 2)) (* 0 (/ (neg z) y)) (* (/ (neg z) y) y) (- (* 0 (/ (neg z) y)) (* (/ (neg z) y) y)) (+ (* (/ y z) y) x) (/ (+ (* x z) (* y y)) z) (+ (* x z) (* y y)) (* x z) (+ x (/ (* y y) z)))
1.0ms	z	@	0	((/ (- (* 0 (/ (neg z) y)) (* (/ (neg z) y) y)) (pow (/ z y) 2)) (* 0 (/ (neg z) y)) (* (/ (neg z) y) y) (- (* 0 (/ (neg z) y)) (* (/ (neg z) y) y)) (+ (* (/ y z) y) x) (/ (+ (* x z) (* y y)) z) (+ (* x z) (* y y)) (* x z) (+ x (/ (* y y) z)))

simplify145.0ms (2.7%)

Memory

-10.8MiB live, 141.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	95
1	130	95
2	370	95
3	1308	95
4	2886	95
5	5548	95
0	8194	84

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 16

Calls

Call 1

Inputs
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
(pow y 2)
(+ (* x z) (pow y 2))
(* x z)
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ z (/ (pow y 2) x)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (+ (* -1 z) (* -1 (/ (pow y 2) x)))))
0
(* -1 z)
z
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ 1 (/ (* x z) (pow y 2))))
(/ (+ (* x z) (pow y 2)) z)
(* z (+ x (/ (pow y 2) z)))
(* -1 (* z (+ (* -1 x) (* -1 (/ (pow y 2) z)))))

Outputs
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(pow y 2)
(*.f64 y y)
(+ (* x z) (pow y 2))
(fma.f64 x z (*.f64 y y))
(* x z)
(*.f64 x z)
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (/.f64 y z) y x)
(* x (+ z (/ (pow y 2) x)))
(fma.f64 x z (*.f64 y y))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (/.f64 y z) y x)
(* -1 (* x (+ (* -1 z) (* -1 (/ (pow y 2) x)))))
(fma.f64 x z (*.f64 y y))
0
#s(literal 0 binary64)
(* -1 z)
(neg.f64 z)
z
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(* (pow y 2) (+ 1 (/ (* x z) (pow y 2))))
(fma.f64 x z (*.f64 y y))
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 x z (*.f64 y y)) z)
(* z (+ x (/ (pow y 2) z)))
(fma.f64 x z (*.f64 y y))
(* -1 (* z (+ (* -1 x) (* -1 (/ (pow y 2) z)))))
(fma.f64 x z (*.f64 y y))

rewrite201.0ms (3.7%)

Memory

1.0MiB live, 242.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	119
0	36	99
1	157	90
2	1107	74
0	9122	69

Stop Event

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

Counts

9 → 500

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (.f64 (/.f64 (neg.f64 z) y) y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 (neg.f64 z) y) y)
(-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (.f64 (/.f64 (neg.f64 z) y) y))
#s(approx (+ (* (/ y z) y) x) (/.f64 #s(approx (+ (* x z) (* y y)) (*.f64 x z)) z))
(/.f64 #s(approx (+ (* x z) (* y y)) (*.f64 x z)) z)
#s(approx (+ (* x z) (* y y)) (*.f64 x z))
(*.f64 x z)
#s(approx (+ x (/ (* y y) z)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (.f64 (/.f64 (neg.f64 z) y) y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))))

Outputs
(.f64 (neg.f64 (.f64 (/.f64 (neg.f64 z) y) (/.f64 y z))) (*.f64 (/.f64 y z) y))
(*.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) z) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 z) z) (*.f64 y (neg.f64 z))) (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 y #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (neg.f64 z) z) (/.f64 (neg.f64 z) y)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) y))
(.f64 (/.f64 (.f64 (neg.f64 z) z) y) (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (/.f64 (neg.f64 z) y)))
(.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 z (/.f64 z y))) (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) y))
(.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 y (neg.f64 z))) (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (/.f64 (neg.f64 z) y)))
(.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 y y)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (neg.f64 z) y)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (.f64 y (neg.f64 z))))
(.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (.f64 (/.f64 z y) z)))
(.f64 (/.f64 (.f64 (neg.f64 z) z) (*.f64 (/.f64 z y) z)) (/.f64 (neg.f64 y) z))
(.f64 (/.f64 (.f64 (neg.f64 z) z) (*.f64 z z)) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -2 binary64))))
(.f64 (/.f64 (.f64 (neg.f64 z) z) (/.f64 z y)) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 z y)))
(.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 (/.f64 z y) z)) (/.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 z y)) (/.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 z y)))
(.f64 (/.f64 (neg.f64 y) (.f64 (/.f64 z y) z)) (/.f64 (/.f64 (neg.f64 z) y) (pow.f64 y #s(literal -1 binary64))))
(.f64 (/.f64 (neg.f64 y) (.f64 z z)) (/.f64 (/.f64 (neg.f64 z) y) (pow.f64 y #s(literal -2 binary64))))
(.f64 (/.f64 (/.f64 z y) (.f64 (/.f64 z y) z)) (/.f64 y (pow.f64 y #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 z y) (.f64 z z)) (/.f64 y (pow.f64 y #s(literal -2 binary64))))
(.f64 (/.f64 (/.f64 (neg.f64 z) y) (.f64 (/.f64 z y) z)) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 (neg.f64 z) y) (.f64 z z)) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -2 binary64))))
(.f64 (/.f64 y (.f64 (/.f64 z y) z)) (/.f64 (/.f64 z y) (pow.f64 y #s(literal -1 binary64))))
(.f64 (/.f64 y (.f64 z z)) (/.f64 (/.f64 z y) (pow.f64 y #s(literal -2 binary64))))
(.f64 (/.f64 (.f64 y (neg.f64 z)) (/.f64 z y)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 z) y)))
(.f64 (/.f64 (.f64 y (neg.f64 z)) (/.f64 (neg.f64 z) y)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 z y)))
(.f64 (/.f64 (.f64 y (neg.f64 z)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 z y) z)) (/.f64 (neg.f64 z) (pow.f64 y #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) (/.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))
(.f64 (/.f64 z (.f64 (/.f64 z y) z)) y)
(.f64 (/.f64 (.f64 (neg.f64 z) z) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) z))
(*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 z)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (neg.f64 z)))
(*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) z) (/.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (/.f64 z y) y)))
(.f64 (/.f64 (/.f64 z y) z) (.f64 y (*.f64 (/.f64 y z) y)))
(.f64 (/.f64 (/.f64 (neg.f64 z) y) (/.f64 (neg.f64 z) y)) (.f64 (/.f64 y z) y))
(*.f64 (/.f64 (/.f64 (neg.f64 z) y) z) (/.f64 (neg.f64 y) (/.f64 (/.f64 z y) y)))
(.f64 (/.f64 z z) (.f64 (/.f64 y z) y))
(.f64 (/.f64 (/.f64 z y) (/.f64 z y)) (.f64 (/.f64 y z) y))
(.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (pow.f64 z #s(literal -3 binary64))) #s(literal -1 binary64)) (pow.f64 z #s(literal -2 binary64)))
(.f64 (.f64 z (/.f64 (neg.f64 y) z)) (/.f64 (neg.f64 y) z))
(.f64 (.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 z) y) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(.f64 (.f64 z (/.f64 y z)) (/.f64 y z))
(.f64 (.f64 (*.f64 (neg.f64 z) z) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) z))
(.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (*.f64 y y)))
(.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (pow.f64 z #s(literal -2 binary64)))
(.f64 (.f64 (/.f64 (neg.f64 y) z) y) (*.f64 (/.f64 (neg.f64 z) y) (/.f64 y z)))
(.f64 (neg.f64 (pow.f64 (.f64 (neg.f64 z) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (neg.f64 z) (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 z) (/.f64 (/.f64 z y) y)))
(.f64 (neg.f64 (pow.f64 (.f64 (neg.f64 z) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (neg.f64 z) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(.f64 (.f64 (/.f64 (neg.f64 z) y) (/.f64 y z)) (*.f64 (/.f64 (neg.f64 y) z) y))
(.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))))
(.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (neg.f64 z))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 4 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 z) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
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(/.f64 #s(approx (+ (* x z) (* y y)) (*.f64 x z)) z)
(neg.f64 (/.f64 (/.f64 #s(approx (+ (* x z) (* y y)) (*.f64 x z)) #s(literal 1 binary64)) (neg.f64 z)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z #s(approx (+ (* x z) (* y y)) (*.f64 x z)))))
(neg.f64 (/.f64 #s(approx (+ (* x z) (* y y)) (*.f64 x z)) (neg.f64 z)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ (* x z) (* y y)) (*.f64 x z)) (neg.f64 z)))
(exp.f64 (.f64 (log.f64 (/.f64 z #s(approx (+ ( x z) (* y y)) (*.f64 x z)))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ ( x z) (* y y)) (*.f64 x z))))
(.f64 #s(literal 1 binary64) #s(approx (+ ( x z) (* y y)) (*.f64 x z)))
(.f64 #s(approx (+ ( x z) (* y y)) (*.f64 x z)) #s(literal 1 binary64))
#s(approx (+ (* x z) (* y y)) (*.f64 x z))
(neg.f64 (neg.f64 #s(approx (+ (* x z) (* y y)) (*.f64 x z))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* x z) (* y y)) (*.f64 x z))))
(*.f64 x z)
(*.f64 z x)
(neg.f64 (*.f64 (neg.f64 x) z))
#s(approx (+ (* (/ y z) y) x) (/.f64 z (pow.f64 (/.f64 z y) #s(literal 2 binary64))))

eval54.0ms (1%)

Memory: 13.8MiB live, 135.8MiB allocated
Compiler: Compiled 14 116 to 1 799 computations (87.3% saved)

prune14.0ms (0.3%)

Memory

10.3MiB live, 48.0MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	506	2	508
Fresh	0	0	0
Picked	1	1	2
Done	1	8	9
Total	508	11	519

Accuracy

100.0%

Counts

519 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	99.8%	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
✓	92.3%	(+.f64 x (/.f64 (*.f64 y y) z))
✓	92.3%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
✓	80.3%	#s(approx (+ (* (/ y z) y) x) (/.f64 (fma.f64 x z (*.f64 y y)) z))
✓	40.9%	#s(approx (+ (* (/ y z) y) x) (/.f64 #s(approx (+ (* x z) (* y y)) (*.f64 x z)) z))
	43.1%	#s(approx (+ (* (/ y z) y) x) (/.f64 z (pow.f64 (/.f64 z y) #s(literal 2 binary64))))
✓	41.9%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	48.7%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
	27.9%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 (/.f64 (neg.f64 z) y) z) (/.f64 (neg.f64 y) (/.f64 (/.f64 z y) y))))
✓	48.7%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Compiler

Compiled 374 to 172 computations (54% saved)

regimes69.0ms (1.3%)

Memory

-5.9MiB live, 69.0MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
#s(approx (+ (* (/ y z) y) x) (/.f64 #s(approx (+ (* x z) (* y y)) (*.f64 x z)) z))
(fma.f64 (/.f64 y z) y x)
(+.f64 x (/.f64 (*.f64 y y) z))
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
#s(approx (+ x (/ (* y y) z)) (/.f64 (fma.f64 z x (*.f64 y y)) z))
#s(approx (+ (* (/ y z) y) x) (/.f64 (fma.f64 x z (*.f64 y y)) z))
(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x)
(+.f64 x (/.f64 y (/.f64 z y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 (/.f64 (neg.f64 z) y) z) (/.f64 (neg.f64 y) (/.f64 (/.f64 z y) y))))
#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) z)))
(+.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))))
#s(approx (+ (* (/ y z) y) x) (/.f64 z (pow.f64 (/.f64 z y) #s(literal 2 binary64))))
#s(approx (+ x (/ (* y y) z)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (.f64 (/.f64 (neg.f64 z) y) y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))))

Outputs
(fma.f64 (/.f64 y z) y x)

Calls

6 calls:

43.0ms	y
7.0ms	(*.f64 y y)
5.0ms	z
5.0ms	x
4.0ms	(+.f64 x (/.f64 (*.f64 y y) z))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(+.f64 x (/.f64 (*.f64 y y) z))`
99.9%	1	`(/.f64 (*.f64 y y) z)`
99.9%	1	`(*.f64 y y)`

Compiler

Compiled 18 to 24 computations (-33.3% saved)

regimes10.0ms (0.2%)

Memory

20.3MiB live, 20.3MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
#s(approx (+ (* (/ y z) y) x) (/.f64 #s(approx (+ (* x z) (* y y)) (*.f64 x z)) z))

Outputs
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
#s(approx (+ (* (/ y z) y) x) (/.f64 #s(approx (+ (* x z) (* y y)) (*.f64 x z)) z))
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Calls

6 calls:

2.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
54.2%	4	`x`
76.7%	2	`y`
56.9%	3	`z`
72.6%	3	`(+.f64 x (/.f64 (*.f64 y y) z))`
81.0%	3	`(/.f64 (*.f64 y y) z)`
76.7%	2	`(*.f64 y y)`

Compiler

Compiled 18 to 24 computations (-33.3% saved)

regimes16.0ms (0.3%)

Memory

-17.8MiB live, 26.4MiB allocated

Accuracy

Total -4.3b remaining (-13.2%)

Threshold costs -4.3b (-13.2%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))

Outputs
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Calls

6 calls:

9.0ms	(*.f64 y y)
1.0ms	y
1.0ms	x
1.0ms	z
1.0ms	(+.f64 x (/.f64 (*.f64 y y) z))

Results

Accuracy	Segments	Branch
48.7%	1	`x`
48.7%	1	`z`
48.7%	1	`(+.f64 x (/.f64 (*.f64 y y) z))`
48.7%	1	`y`
48.7%	1	`(*.f64 y y)`
48.7%	1	`(/.f64 (*.f64 y y) z)`

Compiler

Compiled 18 to 24 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.776531380126279e-133	3.2832714167969757e-115
0.0ms	-4.984546203177937e+49	-5.7217296424839324e+48

Compiler

Compiled 10 to 12 computations (-20% saved)

simplify28.0ms (0.5%)

Memory

1.1MiB live, 74.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	82
1	29	82

Stop Event

1×

saturated

Calls

Call 1

Inputs

(fma.f64 (/.f64 y z) y x)

(if (<=.f64 (/.f64 (*.f64 y y) z) #s(literal -39999999999999997859611077901927172787489659158528 binary64)) #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) (if (<=.f64 (/.f64 (*.f64 y y) z) #s(literal 399583814440447/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528 binary64)) #s(approx (+ (* (/ y z) y) x) (/.f64 #s(approx (+ (* x z) (* y y)) (*.f64 x z)) z)) #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))))

#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Outputs

(fma.f64 (/.f64 y z) y x)

(if (<=.f64 (/.f64 (*.f64 y y) z) #s(literal -39999999999999997859611077901927172787489659158528 binary64)) #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) (if (<=.f64 (/.f64 (*.f64 y y) z) #s(literal 399583814440447/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528 binary64)) #s(approx (+ (* (/ y z) y) x) (/.f64 #s(approx (+ (* x z) (* y y)) (*.f64 x z)) z)) #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))))

#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

soundness1.1s (20.9%)

Memory

-135.9MiB live, 457.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	35	15
2	269	15
3	4534	15
0	8159	14
0	23	46
1	58	46
2	150	46
3	489	46
4	2240	46
5	4077	46
6	6068	46
7	7783	46
0	8068	41
0	25	93
0	43	81
1	164	80
2	1192	80
0	8304	80
0	44	107
1	133	107
2	373	107
3	1308	107
4	2906	107
5	5577	107
0	8186	96
0	32	74
1	77	74
2	182	74
3	543	74
4	2300	74
5	4245	74
6	6443	74
0	8079	69

Stop Event

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

Compiler

Compiled 152 to 80 computations (47.4% saved)

preprocess44.0ms (0.8%)

Memory: -11.6MiB live, 62.0MiB allocated
Remove: (abs y)
Compiler: Compiled 204 to 88 computations (56.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze46.0ms (0.9%)

sample1.2s (21.7%)

explain77.0ms (1.4%)

preprocess62.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize37.0ms (0.7%)

series10.0ms (0.2%)

simplify158.0ms (2.9%)

rewrite192.0ms (3.6%)

eval28.0ms (0.5%)

prune6.0ms (0.1%)

simplify74.0ms (1.4%)

localize104.0ms (1.9%)

series76.0ms (1.4%)

simplify180.0ms (3.4%)

rewrite198.0ms (3.7%)

eval88.0ms (1.6%)

prune53.0ms (1%)

simplify232.0ms (4.3%)

localize106.0ms (2%)

series14.0ms (0.3%)

simplify96.0ms (1.8%)

rewrite181.0ms (3.4%)

eval119.0ms (2.2%)

prune10.0ms (0.2%)

simplify274.0ms (5.1%)

localize69.0ms (1.3%)

series8.0ms (0.2%)

simplify145.0ms (2.7%)

rewrite201.0ms (3.7%)

eval54.0ms (1%)

prune14.0ms (0.3%)

regimes69.0ms (1.3%)

regimes10.0ms (0.2%)

regimes16.0ms (0.3%)

bsearch1.0ms (0%)

simplify28.0ms (0.5%)

soundness1.1s (20.9%)

preprocess44.0ms (0.8%)

end0.0ms (0%)

Profiling