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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze120.0ms (3.6%)

Memory

-10.6MiB live, 65.7MiB 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)

sample1.1s (31.4%)

Memory

8.6MiB live, 915.8MiB allocated

Samples

630.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 299.0ms

ival-div: 147.0ms (49.1% of total)

ival-mult: 82.0ms (27.4% of total)

ival-add: 60.0ms (20% of total)

ival-true: 7.0ms (2.3% of total)

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

Bogosity

explain92.0ms (2.7%)

Memory

17.7MiB live, 147.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
41	-	1	(-31773532628.940132 7.586827077865758e-160 -5.112131750868113e-13)	`(/.f64 (*.f64 y y) z)`
0	-	0	-	`(+.f64 x (/.f64 (*.f64 y y) z))`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`z`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 y y) z)`	o/n	22	0
↳	`(*.f64 y y)`	overflow	68
`/.f64`	`(/.f64 (*.f64 y y) z)`	u/n	5	0
↳	`(*.f64 y y)`	underflow	68

Confusion

	Predicted +	Predicted -
+	26	0
-	1	229

Precision

0.9629629629629629

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	26	0	0
-	1	0	229

Precision?

0.9629629629629629

Recall?

1.0

Freqs

test

number	freq
0	229
1	27

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 83 to 34 computations (59% saved)

Precisions

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

ival-mult: 4.0ms (37.4% of total)

ival-div: 3.0ms (28.1% of total)

ival-add: 2.0ms (18.7% of total)

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

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

preprocess59.0ms (1.7%)

Memory

-16.4MiB live, 59.3MiB 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)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.3%	(+.f64 x (/.f64 (*.f64 y y) z))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB 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

localize25.0ms (0.7%)

Memory

-5.9MiB live, 76.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x (/.f64 (*.f64 y y) z))
accuracy	0	(*.f64 y y)
accuracy	9.617473706239657	(/.f64 (*.f64 y y) z)

Samples

18.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (40.1% of total)

ival-mult: 2.0ms (40.1% of total)

ival-add: 1.0ms (20% of total)

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

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

series7.0ms (0.2%)

Memory

-21.4MiB live, 17.6MiB 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	z	@	-inf	((+ x (/ (* y y) z)) (/ (* y y) z) (* y y))
1.0ms	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	@	0	((+ x (/ (* y y) z)) (/ (* y y) z) (* y y))

simplify103.0ms (3%)

Memory

29.3MiB live, 148.0MiB 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)

rewrite124.0ms (3.7%)

Memory

-20.1MiB live, 214.9MiB 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)))

eval16.0ms (0.5%)

Memory: 28.6MiB live, 28.6MiB allocated
Compiler: Compiled 2 705 to 430 computations (84.1% saved)

prune12.0ms (0.4%)

Memory

-27.5MiB live, 11.7MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	145	6	151
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	146	6	152

Accuracy

100.0%

Counts

152 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 y z) y x)
▶	90.3%	(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x)
▶	99.9%	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
▶	99.9%	(+.f64 x (/.f64 y (/.f64 z y)))
	90.3%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
▶	39.9%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))

Compiler

Compiled 106 to 88 computations (17% saved)

simplify75.0ms (2.2%)

Memory

8.2MiB live, 56.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	448	(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x)
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 z)
cost-diff	0	(fma.f64 (/.f64 y z) y 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 z y)
cost-diff	128	(+.f64 x (/.f64 y (/.f64 z y)))
cost-diff	384	(/.f64 y (/.f64 z y))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	98
0	37	90
1	58	89
2	97	89
3	167	89
4	315	89
5	440	89
6	889	89
7	1391	89
8	1853	89
9	2042	89
10	2138	89
11	2178	89
12	2180	89
0	2180	89

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize118.0ms (3.5%)

Memory

-15.1MiB live, 59.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(*.f64 (neg.f64 y) y)
accuracy	0	(neg.f64 y)
accuracy	6.1997031920485375	(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x)
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(neg.f64 y)
accuracy	0.07421875	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
accuracy	0.203125	(*.f64 y (/.f64 #s(literal -1 binary64) z))
accuracy	0	(/.f64 y z)
accuracy	0.07421875	(fma.f64 (/.f64 y z) y x)
accuracy	0	(*.f64 y y)
accuracy	9.617473706239657	(/.f64 (*.f64 y y) z)
accuracy	33.69317802661083	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
accuracy	0	(/.f64 z y)
accuracy	0	(+.f64 x (/.f64 y (/.f64 z y)))
accuracy	0.1328125	(/.f64 y (/.f64 z y))

Samples

71.0ms

256×

valid

Compiler

Compiled 195 to 44 computations (77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-add: 35.0ms (62.2% of total)

ival-mult: 11.0ms (19.5% of total)

ival-div: 9.0ms (16% of total)

ival-neg: 1.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.3%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

14 → 14

Calls

Call 1

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

Calls

9 calls:

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

simplify102.0ms (3%)

Memory

29.9MiB live, 65.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	65
1	70	65
2	166	65
3	534	65
4	2412	65
5	4343	65
6	6458	65
0	8156	60

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 13

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

rewrite204.0ms (6%)

Memory

5.2MiB live, 119.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	77
0	37	69
1	148	68
2	885	68
0	9225	68

Stop Event

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

Counts

14 → 588

Calls

Call 1

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

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

eval88.0ms (2.6%)

Memory: -25.0MiB live, 99.7MiB allocated
Compiler: Compiled 4 574 to 803 computations (82.4% saved)

prune6.0ms (0.2%)

Memory

16.8MiB live, 16.8MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	322	1	323
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	322	7	329

Accuracy

100.0%

Counts

329 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	90.3%	(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x)
✓	99.9%	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
✓	99.9%	(+.f64 x (/.f64 y (/.f64 z y)))
▶	99.9%	(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
▶	90.3%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
✓	39.9%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))

Compiler

Compiled 63 to 53 computations (15.9% saved)

simplify37.0ms (1.1%)

Memory

-28.1MiB live, 11.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	128	(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
cost-diff	384	(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
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	14	61
0	23	59
1	40	58
2	76	48
3	153	48
4	408	48
5	1053	48
6	1424	48
7	1506	48
8	1527	48
9	1531	48
0	1531	46

Stop Event

1×	iter limit
1×	saturated
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
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
x
(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
y
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(neg.f64 z)
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
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
(fma.f64 (/.f64 y z) y x)
x
(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
(/.f64 (*.f64 y y) z)
y
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
(/.f64 z y)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(neg.f64 z)
z

localize57.0ms (1.7%)

Memory

3.3MiB live, 40.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
accuracy	0	(neg.f64 z)
accuracy	0.1328125	(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
accuracy	0.21875	(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
accuracy	0	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
accuracy	0	(*.f64 y y)
accuracy	0.12109375	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y)))
accuracy	9.89427889057135	(/.f64 z (*.f64 y y))

Samples

24.0ms

256×

valid

Compiler

Compiled 124 to 30 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 6.0ms (43.5% of total)

ival-mult: 3.0ms (21.7% of total)

ival-add: 2.0ms (14.5% of total)

ival-neg: 1.0ms (7.2% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.3%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

9 → 12

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

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

Calls

9 calls:

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

simplify117.0ms (3.4%)

Memory

2.4MiB live, 79.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	59
1	64	59
2	157	59
3	500	59
4	2288	59
5	4172	59
6	6238	59
7	7896	59
0	8166	54

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 11

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

rewrite312.0ms (9.2%)

Memory

-153.0MiB live, 132.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	53
0	23	51
1	91	40
2	751	40
3	7212	40
0	8587	38

Stop Event

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

Counts

9 → 447

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

Outputs
(.f64 (/.f64 (.f64 (neg.f64 y) y) (neg.f64 (*.f64 z z))) z)
(.f64 (/.f64 (.f64 (neg.f64 y) y) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 z z))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (*.f64 y y))
(.f64 (.f64 #s(literal 1 binary64) (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 (/.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)) (neg.f64 y))
(.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 y y))
(.f64 (pow.f64 (/.f64 (.f64 y y) z) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 (.f64 y y) z) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 y y) z) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.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 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 y) y))
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 y))
(*.f64 (/.f64 y (/.f64 (neg.f64 z) 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) y)
(.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 y y))
(.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) z))
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eval161.0ms (4.8%)

Memory: -1.2MiB live, 41.7MiB allocated
Compiler: Compiled 4 943 to 1 031 computations (79.1% saved)

prune10.0ms (0.3%)

Memory

-21.9MiB live, 17.1MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	317	0	317
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	317	7	324

Accuracy

100.0%

Counts

324 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	90.3%	(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x)
✓	99.9%	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
✓	99.9%	(+.f64 x (/.f64 y (/.f64 z y)))
✓	99.9%	(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
✓	90.3%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
✓	39.9%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))

Compiler

Compiled 133 to 84 computations (36.8% saved)

regimes17.0ms (0.5%)

Memory

23.7MiB live, 23.7MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

6 calls:

3.0ms	z
3.0ms	y
3.0ms	x
3.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
3.0ms	(*.f64 y y)

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)

regimes16.0ms (0.5%)

Memory

-20.8MiB live, 18.3MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
2.0ms	y
2.0ms	z
2.0ms	x
2.0ms	(*.f64 y y)

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)

regimes8.0ms (0.2%)

Memory

10.5MiB live, 10.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
39.9%	1	`x`
39.9%	1	`y`
39.9%	1	`z`
39.9%	1	`(+.f64 x (/.f64 (*.f64 y y) z))`
39.9%	1	`(/.f64 (*.f64 y y) z)`
39.9%	1	`(*.f64 y y)`

Compiler

Compiled 18 to 24 computations (-33.3% saved)

simplify27.0ms (0.8%)

Memory

-16.3MiB live, 26.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	26
1	15	26

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness337.0ms (9.9%)

Memory

20.0MiB live, 212.9MiB 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

Stop Event

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

Compiler

Compiled 58 to 36 computations (37.9% saved)

preprocess51.0ms (1.5%)

Memory: 6.1MiB live, 44.8MiB allocated
Remove: (abs y)
Compiler: Compiled 108 to 76 computations (29.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze120.0ms (3.6%)

sample1.1s (31.4%)

explain92.0ms (2.7%)

preprocess59.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize25.0ms (0.7%)

series7.0ms (0.2%)

simplify103.0ms (3%)

rewrite124.0ms (3.7%)

eval16.0ms (0.5%)

prune12.0ms (0.4%)

simplify75.0ms (2.2%)

localize118.0ms (3.5%)

series11.0ms (0.3%)

simplify102.0ms (3%)

rewrite204.0ms (6%)

eval88.0ms (2.6%)

prune6.0ms (0.2%)

simplify37.0ms (1.1%)

localize57.0ms (1.7%)

series9.0ms (0.3%)

simplify117.0ms (3.4%)

rewrite312.0ms (9.2%)

eval161.0ms (4.8%)

prune10.0ms (0.3%)

regimes17.0ms (0.5%)

regimes16.0ms (0.5%)

regimes8.0ms (0.2%)

simplify27.0ms (0.8%)

soundness337.0ms (9.9%)

preprocess51.0ms (1.5%)

end0.0ms (0%)

Profiling