Metrics for Numeric.SpecFunctions:choose from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze41.0ms (0.7%)

Memory

-13.7MiB live, 69.4MiB 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)

sample901.0ms (16.3%)

Memory

0.5MiB live, 675.3MiB allocated

Samples

578.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 217.0ms

ival-div: 85.0ms (39.2% of total)

ival-mult: 75.0ms (34.6% of total)

ival-add: 47.0ms (21.7% of total)

ival-true: 7.0ms (3.2% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain77.0ms (1.4%)

Memory

17.6MiB live, 54.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
34	-	1	(3.43831616481342e-132 2.6740773947087613e-183 4.148003049609193e-239)	`(/.f64 (*.f64 x (+.f64 y z)) z)`
0	-	0	-	`(+.f64 y z)`
0	-	0	-	`y`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x (+.f64 y z))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	o/n	23	0
↳	`(*.f64 x (+.f64 y z))`	overflow	55
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	u/n	10	0
↳	`(*.f64 x (+.f64 y z))`	underflow	10

Confusion

	Predicted +	Predicted -
+	33	1
-	0	222

Precision

1.0

Recall

0.9705882352941176

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	33	0	1
-	0	0	222

Precision?

1.0

Recall?

0.9705882352941176

Freqs

test

number	freq
0	223
1	33

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 3.0ms (28.8% of total)

ival-add: 3.0ms (28.8% of total)

ival-mult: 3.0ms (28.8% of total)

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

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

preprocess246.0ms (4.4%)

Memory

-34.8MiB live, 94.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	106	66
2	284	64
3	950	64
4	2751	63
5	5274	63
6	6022	63
7	6123	63
8	6219	63
9	6346	63
10	6471	63
0	6	7
0	9	7
1	19	7
2	24	7
3	25	7
4	33	7
5	35	7
6	39	7
7	46	7
8	51	7
9	160	7
10	553	7
11	2370	7
12	3773	7
13	3925	7
14	4010	7
15	4111	7
16	4246	7
17	4406	7
18	6021	7
19	7046	7
0	8041	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.6%	(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify303.0ms (5.5%)

Memory

17.4MiB live, 137.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y z)
cost-diff	0	(*.f64 x (+.f64 y z))
cost-diff	1	(/.f64 (*.f64 x (+.f64 y z)) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	19	18
2	24	18
3	25	18
4	33	18
5	35	18
6	39	18
7	46	18
8	51	18
9	160	18
10	553	18
11	2370	18
12	3773	18
13	3925	18
14	4010	18
15	4111	18
16	4246	18
17	4406	18
18	6021	18
19	7046	18
0	8041	17

Stop Event

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

Calls

Call 1

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

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

localize16.0ms (0.3%)

Memory

16.4MiB live, 16.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y z)
accuracy	0.00390625	(*.f64 x (+.f64 y z))
accuracy	7.928445755480744	(/.f64 (*.f64 x (+.f64 y z)) z)

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (39.8% of total)

ival-add: 2.0ms (39.8% of total)

ival-mult: 2.0ms (39.8% of total)

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

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

series234.0ms (4.2%)

Memory

-32.2MiB live, 6.1MiB allocated

Counts

3 → 22

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
227.0ms	y	@	inf	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))
1.0ms	y	@	-inf	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))
1.0ms	x	@	-inf	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))
1.0ms	x	@	inf	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))
1.0ms	z	@	-inf	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))

simplify182.0ms (3.3%)

Memory

16.4MiB live, 99.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	94
1	171	94
2	490	94
3	1386	94
4	2840	94
5	3338	94
6	3685	94
7	4123	94
8	4309	94
9	4352	94
10	6238	94
11	7018	94
12	7240	94
13	7640	94
14	7652	94
15	7661	94
0	8330	89

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 19

Calls

Call 1

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

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

rewrite232.0ms (4.2%)

Memory

0.7MiB live, 197.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	40	15
2	256	15
3	2338	15
0	8227	15

Stop Event

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

Counts

3 → 379

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (/.f64 z x) (.f64 (+.f64 z y) (-.f64 z y))) #s(literal -1 binary64)) (pow.f64 (-.f64 z y) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 z x) (.f64 (neg.f64 (+.f64 z y)) (-.f64 y z))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) y z) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 z x) (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 z y) z (.f64 y y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 z y))
(.f64 (pow.f64 (/.f64 z (.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 y z) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 z (.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 z (.f64 (.f64 (+.f64 z y) x) (.f64 x (-.f64 y z)))) #s(literal -1 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 z (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 z x) (-.f64 (.f64 z x) (.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 z x) (fma.f64 (neg.f64 z) z (.f64 y y))) #s(literal -1 binary64)) (pow.f64 (-.f64 y z) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 z x) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 z y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 z) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 z) (+.f64 z y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 z y) z))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 z y) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (+.f64 z y))) (/.f64 #s(literal -1 binary64) z))
(.f64 (pow.f64 (/.f64 z (.f64 (+.f64 z y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 (+.f64 z y) x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 z y) z))
(*.f64 (/.f64 (+.f64 z y) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 (+.f64 z y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 z y)) z))
(.f64 (.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 z y) z))
(.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 x z) (+.f64 z y))
(.f64 (neg.f64 x) (.f64 (+.f64 z y) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (+.f64 z y)) z))
(.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 z y) x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 x) (+.f64 z y)))
(*.f64 (neg.f64 (+.f64 z y)) (/.f64 (neg.f64 x) z))
(.f64 (neg.f64 (+.f64 z y)) (.f64 x (/.f64 #s(literal -1 binary64) z)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)))
(*.f64 (/.f64 (+.f64 z y) z) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 z y) z) x)
(.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) (*.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 x z)))
(.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (.f64 (+.f64 z y) x) #s(literal 1 binary64)))
(.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 (+.f64 z y) x))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 z y) x) z))
(.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) (/.f64 x z)))
(.f64 (.f64 (neg.f64 x) (+.f64 z y)) (/.f64 #s(literal -1 binary64) z))
(.f64 (/.f64 (.f64 (+.f64 z y) x) z) #s(literal 1 binary64))
(.f64 (.f64 (+.f64 z y) x) (pow.f64 z #s(literal -1 binary64)))
(.f64 (+.f64 z y) (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (+.f64 z y) (/.f64 x z))
(*.f64 x (/.f64 (+.f64 z y) z))
(pow.f64 (exp.f64 (log.f64 (/.f64 z (*.f64 (+.f64 z y) x)))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 z (.f64 (+.f64 z y) x)) (/.f64 z (*.f64 (+.f64 z y) x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 z (*.f64 (+.f64 z y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 z (*.f64 (+.f64 z y) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 z y) x) z) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) z) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 0 binary64) z) (fma.f64 (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) (.f64 (/.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 x) (/.f64 (+.f64 z y) z))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) (.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 (+.f64 z y) z))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 y x) (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z x) (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 y x) (pow.f64 z #s(literal -1 binary64))) (.f64 (.f64 y x) (pow.f64 z #s(literal -1 binary64))) (-.f64 (.f64 (.f64 (.f64 z x) (pow.f64 z #s(literal -1 binary64))) (.f64 (.f64 z x) (pow.f64 z #s(literal -1 binary64)))) (.f64 (.f64 (.f64 y x) (pow.f64 z #s(literal -1 binary64))) (.f64 (.f64 z x) (pow.f64 z #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 z x) (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y x) (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 z x) (pow.f64 z #s(literal -1 binary64))) (.f64 (.f64 z x) (pow.f64 z #s(literal -1 binary64))) (-.f64 (.f64 (.f64 (.f64 y x) (pow.f64 z #s(literal -1 binary64))) (.f64 (.f64 y x) (pow.f64 z #s(literal -1 binary64)))) (.f64 (.f64 (.f64 z x) (pow.f64 z #s(literal -1 binary64))) (.f64 (.f64 y x) (pow.f64 z #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 y x)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 z x)) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 y x)) (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 y x)) (-.f64 (.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 z x)) (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 z x))) (.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 y x)) (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 z x))))))
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eval66.0ms (1.2%)

Memory: 3.3MiB live, 127.8MiB allocated
Compiler: Compiled 8 414 to 1 306 computations (84.5% saved)

prune9.0ms (0.2%)

Memory

-12.7MiB live, 27.1MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	380	5	385
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	381	5	386

Accuracy

100.0%

Counts

386 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.9%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
▶	56.4%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	97.1%	(/.f64 x (/.f64 z (+.f64 z y)))
▶	88.0%	(*.f64 (/.f64 x z) (+.f64 z y))
▶	95.5%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))

Compiler

Compiled 100 to 74 computations (26% saved)

simplify124.0ms (2.2%)

Memory

-2.5MiB live, 153.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 z y)
cost-diff	0	(/.f64 x z)
cost-diff	1	(*.f64 (/.f64 x z) (+.f64 z y))
cost-diff	0	(/.f64 y z)
cost-diff	0	(fma.f64 (/.f64 y z) x x)
cost-diff	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
cost-diff	0	(*.f64 z x)
cost-diff	0	#s(approx (* x (+ y z)) (*.f64 z x))
cost-diff	0	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (* x (+ y z)) (*.f64 y x))
cost-diff	0	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
cost-diff	0	(+.f64 z y)
cost-diff	0	(/.f64 z (+.f64 z y))
cost-diff	1	(/.f64 x (/.f64 z (+.f64 z y)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	111
0	32	112
1	55	112
2	68	112
3	76	108
4	77	108
5	194	108
6	648	108
7	2791	108
8	3863	108
9	4750	108
10	4831	108
11	4916	108
12	5021	108
13	5143	108
14	6833	108
0	8147	108

Stop Event

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

Calls

Call 1

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

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

localize45.0ms (0.8%)

Memory

16.9MiB live, 93.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x z)
accuracy	0.0	(+.f64 z y)
accuracy	7.6818434264471085	(*.f64 (/.f64 x z) (+.f64 z y))
accuracy	0.0	(/.f64 y z)
accuracy	0.0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
accuracy	2.8838014719734977	(fma.f64 (/.f64 y z) x x)
accuracy	0.0	(*.f64 z x)
accuracy	7.928445755480744	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
accuracy	33.30405433039755	#s(approx (* x (+ y z)) (*.f64 z x))
accuracy	0.0	(*.f64 y x)
accuracy	7.928445755480744	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
accuracy	24.634947136032228	#s(approx (* x (+ y z)) (*.f64 y x))
accuracy	0.0	(+.f64 z y)
accuracy	0.01171875	(/.f64 z (+.f64 z y))
accuracy	1.8495985734342626	(/.f64 x (/.f64 z (+.f64 z y)))

Samples

35.0ms

256×

valid

Compiler

Compiled 91 to 18 computations (80.2% saved)

Precisions

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

ival-mult: 9.0ms (43.2% of total)

ival-div: 8.0ms (38.4% of total)

ival-add: 4.0ms (19.2% of total)

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

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

series21.0ms (0.4%)

Memory

-3.3MiB live, 41.3MiB allocated

Counts

14 → 44

Calls

Call 1

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

Outputs
(/ (* x (+ y z)) z)
(* x (+ y z))
(* x y)
(* x z)
(* x (+ 1 (/ y z)))
(/ x z)
(* -1 (* x (- (* -1 (/ y z)) 1)))
x
(+ x (/ (* x y) z))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
z
(+ y z)
(+ (* x y) (* x z))
(/ y z)
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(/ z y)
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
y
(* y (+ 1 (/ z y)))
(* y (+ x (/ (* x z) y)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(/ (+ (* x y) (* x z)) z)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ x (/ (* x y) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ x z) (+ z y)) (/ x z))
3.0ms	x	@	inf	((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ x z) (+ z y)) (/ x z))
2.0ms	z	@	-inf	((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ x z) (+ z y)) (/ x z))
2.0ms	y	@	-inf	((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ x z) (+ z y)) (/ x z))
2.0ms	x	@	0	((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ x z) (+ z y)) (/ x z))

simplify155.0ms (2.8%)

Memory

4.4MiB live, 162.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	394
1	497	378
2	1328	354
3	4937	352
0	8431	332

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 41

Calls

Call 1

Inputs
(/ (* x (+ y z)) z)
(* x (+ y z))
(* x y)
(* x z)
(* x (+ 1 (/ y z)))
(/ x z)
(* -1 (* x (- (* -1 (/ y z)) 1)))
x
(+ x (/ (* x y) z))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
z
(+ y z)
(+ (* x y) (* x z))
(/ y z)
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(/ z y)
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
y
(* y (+ 1 (/ z y)))
(* y (+ x (/ (* x z) y)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(/ (+ (* x y) (* x z)) z)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ x (/ (* x y) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))

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

rewrite254.0ms (4.6%)

Memory

1.3MiB live, 276.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	94
0	32	95
1	127	95
2	877	91
0	8359	91

Stop Event

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

Counts

14 → 1 599

Calls

Call 1

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

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

eval131.0ms (2.4%)

Memory: -21.2MiB live, 177.7MiB allocated
Compiler: Compiled 16 680 to 2 095 computations (87.4% saved)

prune28.0ms (0.5%)

Memory

8.1MiB live, 47.8MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	875	3	878
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	878	5	883

Accuracy

100.0%

Counts

883 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.4%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	56.1%	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
▶	43.7%	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
✓	95.5%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
▶	55.4%	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))

Compiler

Compiled 58 to 42 computations (27.6% saved)

simplify211.0ms (3.8%)

Memory

6.2MiB live, 125.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 z y)
cost-diff	0	#s(approx (/ z (+ z y)) (/.f64 z y))
cost-diff	0	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
cost-diff	0	#s(approx (/ z (+ z y)) #s(literal 1 binary64))
cost-diff	0	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 x z)
cost-diff	0	(*.f64 (/.f64 x z) y)
cost-diff	0	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	68
0	20	68
1	27	68
2	40	68
3	53	68
4	56	68
5	62	68
6	65	68
7	200	68
8	748	68
9	3401	68
10	4030	68
11	4970	68
12	5237	68
13	5360	68
14	5410	68
0	8316	67

Stop Event

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

Calls

Call 1

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

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

localize48.0ms (0.9%)

Memory

0.4MiB live, 38.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 z y)
accuracy	1.8495985734342626	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
accuracy	26.719035900874193	#s(approx (/ z (+ z y)) (/.f64 z y))
accuracy	1.8495985734342626	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
accuracy	35.979125459553096	#s(approx (/ z (+ z y)) #s(literal 1 binary64))
accuracy	0.0	(/.f64 x z)
accuracy	5.347682859030085	(*.f64 (/.f64 x z) y)
accuracy	26.253177844795456	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))

Samples

42.0ms

256×

valid

Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 24.0ms (73.7% of total)

ival-div: 6.0ms (18.4% of total)

ival-add: 1.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

8 → 26

Calls

Call 1

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

Outputs
(/ (* x (+ y z)) z)
(/ (* x y) z)
(/ x z)
x
(+ x (/ (* x y) z))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
(/ z y)
(* y (+ (/ x y) (/ x z)))
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(/ (+ (* x y) (* x z)) z)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))

Calls

9 calls:

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

simplify218.0ms (3.9%)

Memory

7.0MiB live, 164.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	324
1	383	308
2	995	284
3	3576	282
0	8458	266

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 25

Calls

Call 1

Inputs
(/ (* x (+ y z)) z)
(/ (* x y) z)
(/ x z)
x
(+ x (/ (* x y) z))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
(/ z y)
(* y (+ (/ x y) (/ x z)))
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(/ (+ (* x y) (* x z)) z)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))

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

rewrite164.0ms (3%)

Memory

-24.0MiB live, 134.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	60
0	20	60
1	77	60
2	441	60
3	4015	60
0	8418	59

Stop Event

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

Counts

8 → 181

Calls

Call 1

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

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

eval30.0ms (0.5%)

Memory: -0.5MiB live, 37.4MiB allocated
Compiler: Compiled 2 929 to 535 computations (81.7% saved)

prune5.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	193	1	194
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	193	6	199

Accuracy

100.0%

Counts

199 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.4%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
✓	56.1%	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
✓	43.7%	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
✓	95.5%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
▶	54.5%	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
✓	55.4%	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))

Compiler

Compiled 71 to 51 computations (28.2% saved)

simplify167.0ms (3%)

Memory

-7.7MiB live, 112.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 y z)
cost-diff	0	(*.f64 (/.f64 y z) x)
cost-diff	0	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	11	24
1	17	24
2	31	24
3	45	24
4	48	24
5	54	24
6	59	24
7	176	24
8	626	24
9	2718	24
10	3772	24
11	4654	24
12	4735	24
13	4820	24
14	4925	24
15	5047	24
16	6767	24
0	8081	23

Stop Event

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

Calls

Call 1

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

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

localize20.0ms (0.4%)

Memory

28.3MiB live, 28.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 y z)
accuracy	4.475813245795182	(*.f64 (/.f64 y z) x)
accuracy	26.253177844795456	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))

Samples

15.0ms

256×

valid

Compiler

Compiled 20 to 10 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 5.0ms (61.1% of total)

ival-add: 2.0ms (24.5% of total)

ival-mult: 2.0ms (24.5% of total)

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

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

series19.0ms (0.3%)

Memory

-20.9MiB live, 17.8MiB allocated

Counts

3 → 8

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	x	@	inf	((/ x (/ z (+ z y))) (* (/ y z) x) (/ y z))
1.0ms	y	@	-inf	((/ x (/ z (+ z y))) (* (/ y z) x) (/ y z))
1.0ms	x	@	-inf	((/ x (/ z (+ z y))) (* (/ y z) x) (/ y z))
1.0ms	z	@	-inf	((/ x (/ z (+ z y))) (* (/ y z) x) (/ y z))
1.0ms	y	@	inf	((/ x (/ z (+ z y))) (* (/ y z) x) (/ y z))

simplify182.0ms (3.3%)

Memory

-12.9MiB live, 150.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	44
1	61	44
2	157	44
3	293	44
4	736	44
5	2506	44
6	4309	44
7	5388	44
8	5914	44
9	6157	44
10	6190	44
11	6202	44
12	6857	44
13	7588	44
14	7745	44
15	7817	44
16	7915	44
17	7961	44
0	8013	39

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 7

Calls

Call 1

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

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

rewrite191.0ms (3.5%)

Memory

24.0MiB live, 266.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
0	11	21
1	51	21
2	333	21
3	3148	21
0	9295	20

Stop Event

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

Counts

3 → 82

Calls

Call 1

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

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

eval10.0ms (0.2%)

Memory: -14.5MiB live, 24.2MiB allocated
Compiler: Compiled 1 396 to 289 computations (79.3% saved)

prune5.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	85	6	91

Accuracy

100.0%

Counts

91 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.4%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
✓	56.1%	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
✓	43.7%	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
✓	95.5%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
✓	54.5%	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
✓	55.4%	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))

Compiler

Compiled 174 to 87 computations (50% saved)

regimes16.0ms (0.3%)

Memory

-3.5MiB live, 35.5MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	z
4.0ms	x
4.0ms	y
3.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
97.1%	1	`x`
97.1%	1	`y`
97.1%	1	`z`
97.1%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes15.0ms (0.3%)

Memory

-6.6MiB live, 32.7MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	x
3.0ms	z
3.0ms	y
3.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
95.5%	1	`y`
95.5%	1	`z`
95.5%	1	`x`
97.3%	2	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes12.0ms (0.2%)

Memory

-17.9MiB live, 24.4MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
79.1%	3	`z`
63.2%	5	`x`
79.2%	3	`y`
75.5%	3	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes4.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
78.9%	3	`z`
77.9%	3	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes5.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
43.7%	1	`x`
43.7%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`
43.7%	1	`y`
43.7%	1	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.647796559639161e+61	-8.020225911619523e+51

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch24.0ms (0.4%)

Memory

7.8MiB live, 47.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.85565237372851e-51	1.773689089695e-33
10.0ms	-0.0009051315000496597	-7.79956839391855e-6

Samples

13.0ms

272×

valid

Compiler

Compiled 370 to 328 computations (11.4% saved)

Precisions

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

ival-div: 2.0ms (36.9% of total)

ival-add: 2.0ms (36.9% of total)

ival-mult: 2.0ms (36.9% of total)

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

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

bsearch29.0ms (0.5%)

Memory

-23.7MiB live, 54.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.7606049792688733e-5	12856825366.835218
13.0ms	-3076595022689831400.0	-25674264942.844177

Samples

14.0ms

304×

valid

Compiler

Compiled 428 to 373 computations (12.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (33.3% of total)

ival-add: 2.0ms (33.3% of total)

ival-mult: 2.0ms (33.3% of total)

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

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

simplify68.0ms (1.2%)

Memory

20.6MiB live, 62.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	123
1	60	123
2	75	123
3	77	123
4	81	123
5	88	123
6	91	123
7	210	123
8	662	123
9	2806	123
10	3871	123
11	4756	123
12	4836	123
13	4921	123
14	5026	123
15	5147	123
16	6932	123

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 x (/.f64 z (+.f64 z y)))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -19999999999999998987742705941480377339272900220268201461678080 binary64)) (/.f64 #s(approx ( x (+ y z)) (.f64 y x)) z) #s(approx (/ ( x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
(if (<=.f64 y #s(literal -5312662293228351/590295810358705651712 binary64)) (/.f64 #s(approx (* x (+ y z)) (.f64 y x)) z) (if (<=.f64 y #s(literal 4290987514424489/383123885216472214589586756787577295904684780545900544 binary64)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) #s(approx (/ x (/ z (+ z y))) (.f64 (/.f64 x z) y))))
(if (<=.f64 z #s(literal -130000000000000 binary64)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (if (<=.f64 z #s(literal 1098878309078401/9007199254740992 binary64)) #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))))
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))

Outputs
(/.f64 x (/.f64 z (+.f64 z y)))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -19999999999999998987742705941480377339272900220268201461678080 binary64)) (/.f64 #s(approx ( x (+ y z)) (.f64 y x)) z) #s(approx (/ ( x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -19999999999999998987742705941480377339272900220268201461678080 binary64)) (/.f64 #s(approx ( x (+ y z)) (*.f64 y x)) z) #s(approx (/ x (/ z (+ z y))) (fma.f64 (/.f64 y z) x x)))
(if (<=.f64 y #s(literal -5312662293228351/590295810358705651712 binary64)) (/.f64 #s(approx (* x (+ y z)) (.f64 y x)) z) (if (<=.f64 y #s(literal 4290987514424489/383123885216472214589586756787577295904684780545900544 binary64)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) #s(approx (/ x (/ z (+ z y))) (.f64 (/.f64 x z) y))))
(if (<=.f64 z #s(literal -130000000000000 binary64)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (if (<=.f64 z #s(literal 1098878309078401/9007199254740992 binary64)) #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))))
(if (or (<=.f64 z #s(literal -130000000000000 binary64)) (not (<=.f64 z #s(literal 1098878309078401/9007199254740992 binary64)))) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)))
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))

soundness920.0ms (16.6%)

Memory

-1.7MiB live, 398.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	394
1	497	378
2	1328	354
3	4937	352
0	8431	332
0	50	94
1	171	94
2	490	94
3	1386	94
4	2840	94
5	3338	94
6	3685	94
7	4123	94
8	4309	94
9	4352	94
10	6238	94
11	7018	94
12	7240	94
13	7640	94
14	7652	94
15	7661	94
0	8330	89
0	6	15
0	9	15
1	40	15
2	256	15
3	2338	15
0	8227	15

Stop Event

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

Compiler

Compiled 278 to 146 computations (47.5% saved)

preprocess101.0ms (1.8%)

Memory: -16.0MiB live, 178.0MiB allocated
Compiler: Compiled 344 to 148 computations (57% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze41.0ms (0.7%)

sample901.0ms (16.3%)

explain77.0ms (1.4%)

preprocess246.0ms (4.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify303.0ms (5.5%)

localize16.0ms (0.3%)

series234.0ms (4.2%)

simplify182.0ms (3.3%)

rewrite232.0ms (4.2%)

eval66.0ms (1.2%)

prune9.0ms (0.2%)

simplify124.0ms (2.2%)

localize45.0ms (0.8%)

series21.0ms (0.4%)

simplify155.0ms (2.8%)

rewrite254.0ms (4.6%)

eval131.0ms (2.4%)

prune28.0ms (0.5%)

simplify211.0ms (3.8%)

localize48.0ms (0.9%)

series9.0ms (0.2%)

simplify218.0ms (3.9%)

rewrite164.0ms (3%)

eval30.0ms (0.5%)

prune5.0ms (0.1%)

simplify167.0ms (3%)

localize20.0ms (0.4%)

series19.0ms (0.3%)

simplify182.0ms (3.3%)

rewrite191.0ms (3.5%)

eval10.0ms (0.2%)

prune5.0ms (0.1%)

regimes16.0ms (0.3%)

regimes15.0ms (0.3%)

regimes12.0ms (0.2%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch24.0ms (0.4%)

bsearch29.0ms (0.5%)

simplify68.0ms (1.2%)

soundness920.0ms (16.6%)

preprocess101.0ms (1.8%)

end0.0ms (0%)

Profiling