Metrics for Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze416.0ms (9.4%)

Memory

14.9MiB live, 170.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
25%	25%	74.9%	0.2%	0%	0%	0%	5
25%	25%	74.9%	0.2%	0%	0%	0%	6
25%	25%	74.9%	0.2%	0%	0%	0%	7
37.5%	37.4%	62.4%	0.2%	0%	0%	0%	8
56.3%	56.1%	43.7%	0.2%	0%	0%	0%	9
56.3%	56.1%	43.7%	0.2%	0%	0%	0%	10
56.3%	56.1%	43.7%	0.2%	0%	0%	0%	11
65.6%	65.5%	34.3%	0.2%	0%	0%	0%	12

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.4s (30.7%)

Memory

-202.8MiB live, 1 098.2MiB allocated

Samples

939.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 609.0ms

ival-div: 452.0ms (74.2% of total)

ival-mult: 148.0ms (24.3% of total)

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

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain106.0ms (2.4%)

Memory

32.2MiB live, 147.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
58	-	3	(-1.0825762424559955e-191 1.5792880729397327e-151 -1.31869957784079e-20 -4.507227990238363e-192)	`(/.f64 (*.f64 (/.f64 y z) t) t)`
28	-	2	(-1.3611074546792361e-37 -5.813109013517202e-32 5.333333107932642e+290 6.362852720277969e+126)	`(*.f64 (/.f64 y z) t)`
14	-	1	(-1736046.0210291452 -1.396362280034003e-134 -7.677184174550683e+177 4.6220195880182755e-83)	`(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))`
0	-	0	-	`y`
0	-	0	-	`t`
0	-	0	-	`z`
0	-	0	-	`x`
0	-	0	-	`(/.f64 y z)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 (/.f64 y z) t) t)`	u/n	29	0
↳	`(*.f64 (/.f64 y z) t)`	underflow	46
↳	`(/.f64 y z)`	underflow	32
`/.f64`	`(/.f64 (*.f64 (/.f64 y z) t) t)`	o/n	26	0
↳	`(*.f64 (/.f64 y z) t)`	overflow	44
↳	`(/.f64 y z)`	overflow	29
`*.f64`	`(*.f64 (/.f64 y z) t)`	*nu**	15	0
`*.f64`	`(*.f64 (/.f64 y z) t)`	*no**	11	0
`*.f64`	`(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))`	*no**	8	0
`*.f64`	`(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))`	*nu**	5	0

Confusion

	Predicted +	Predicted -
+	55	2
-	32	167

Precision

0.632183908045977

Recall

0.9649122807017544

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	55	0	2
-	32	0	167

Precision?

0.632183908045977

Recall?

0.9649122807017544

Freqs

test

number	freq
0	169
1	80
2	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

6.687255859375

Average Time

0.026122093200683594

Samples

34.0ms

256×

valid

Compiler

Compiled 95 to 34 computations (64.2% saved)

Precisions

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

ival-div: 4.0ms (55.7% of total)

ival-mult: 3.0ms (41.8% of total)

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

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

preprocess272.0ms (6.1%)

Memory

-13.9MiB live, 222.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	140
1	158	78
2	471	74
3	1705	74
4	4240	74
5	7046	74
6	7540	74
7	7654	74
8	7741	74
9	7783	74
0	8	9
0	12	9
1	20	7
2	43	5
3	88	5
4	321	5
5	1010	5
6	2524	5
7	2839	5
8	3022	5
9	3096	5
10	3147	5
11	3201	5
12	5890	5
13	6026	5
14	6456	5
15	6940	5
16	7607	5
0	8101	5

Stop Event

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

Calls

Call 1

Inputs
(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))

Outputs
(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))
(*.f64 (/.f64 y z) x)

Symmetry

(abs t)

(negabs z)

(negabs y)

(negabs x)

(sort x y)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.2%	(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify177.0ms (4%)

Memory

6.0MiB live, 128.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y z)
cost-diff	0	(*.f64 (/.f64 y z) t)
cost-diff	0	(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))
cost-diff	1024	(/.f64 (*.f64 (/.f64 y z) t) t)

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	12	24
1	20	22
2	43	20
3	88	20
4	321	20
5	1010	20
6	2524	20
7	2839	20
8	3022	20
9	3096	20
10	3147	20
11	3201	20
12	5890	20
13	6026	20
14	6456	20
15	6940	20
16	7607	20
0	8101	20

Stop Event

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

Calls

Call 1

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

Outputs
(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))
(*.f64 (/.f64 y z) x)
x
(/.f64 (*.f64 (/.f64 y z) t) t)
(/.f64 y z)
(*.f64 (/.f64 y z) t)
(*.f64 t (/.f64 y z))
(/.f64 y z)
y
z
t

localize58.0ms (1.3%)

Memory

-13.9MiB live, 24.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y z)
accuracy	4.520706504089578	(*.f64 (/.f64 y z) t)
accuracy	4.757298710909266	(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))
accuracy	12.214224772943247	(/.f64 (*.f64 (/.f64 y z) t) t)

Samples

53.0ms

256×

valid

Compiler

Compiled 58 to 18 computations (69% saved)

Precisions

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

ival-mult: 42.0ms (92.5% of total)

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

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

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

series12.0ms (0.3%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs
(/ (* x y) z)
(/ y z)
(/ (* t y) z)

Calls

12 calls:

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

simplify3.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	13	13
2	19	13
3	21	13
0	21	13

Stop Event

1×	iter limit
1×	saturated

Counts

3 → 3

Calls

Call 1

Inputs
(/ (* x y) z)
(/ y z)
(/ (* t y) z)

Outputs
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ y z)
(/.f64 y z)
(/ (* t y) z)
(*.f64 (/.f64 y z) t)

rewrite181.0ms (4.1%)

Memory

-13.5MiB live, 110.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	20
1	35	16
2	191	16
3	1459	16
0	5896	16

Stop Event

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

Counts

4 → 400

Calls

Call 1

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

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

eval370.0ms (8.4%)

Memory: 3.8MiB live, 41.6MiB allocated
Compiler: Compiled 3 652 to 820 computations (77.5% saved)

prune7.0ms (0.2%)

Memory

17.7MiB live, 17.7MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	294	7	301
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	295	7	302

Accuracy

100.0%

Counts

302 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.5%	(/.f64 (.f64 (/.f64 x t) (.f64 t y)) z)
	66.1%	(/.f64 (.f64 (.f64 x t) y) (*.f64 t z))
▶	92.8%	(/.f64 (*.f64 x y) z)
▶	92.8%	(/.f64 x (/.f64 z y))
▶	92.6%	(*.f64 (/.f64 y z) x)
▶	93.4%	(*.f64 (/.f64 x z) y)
▶	92.6%	(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 y) x))

Compiler

Compiled 92 to 98 computations (-6.5% saved)

simplify38.0ms (0.9%)

Memory

-22.3MiB live, 14.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	65
0	28	62
1	43	62
2	77	62
3	190	62
4	358	62
5	508	62
6	693	62
7	1450	62
8	1875	62
9	1953	62
10	1967	62
11	1979	62
0	1979	62

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize65.0ms (1.5%)

Memory

-8.3MiB live, 75.4MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(*.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	4.70886627851479	(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 y) x))
accuracy	0	(/.f64 z y)
accuracy	4.580716007000798	(/.f64 x (/.f64 z y))
accuracy	0	(*.f64 x y)
accuracy	4.636268768746349	(/.f64 (*.f64 x y) z)
accuracy	0	(/.f64 y z)
accuracy	4.757298710909266	(*.f64 (/.f64 y z) x)
accuracy	0	(/.f64 x z)
accuracy	4.241311916209819	(*.f64 (/.f64 x z) y)

Samples

47.0ms

256×

valid

Compiler

Compiled 132 to 36 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 25.0ms (72.7% of total)

ival-mult: 8.0ms (23.3% of total)

ival-neg: 1.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.3%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

12 → 8

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	((* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ (* x y) z) (* x y) (/ x (/ z y)) (/ z y) (* (/ -1 z) (* (neg y) x)) (/ -1 z) (* (neg y) x) (neg y))
1.0ms	y	@	-inf	((* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ (* x y) z) (* x y) (/ x (/ z y)) (/ z y) (* (/ -1 z) (* (neg y) x)) (/ -1 z) (* (neg y) x) (neg y))
1.0ms	y	@	inf	((* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ (* x y) z) (* x y) (/ x (/ z y)) (/ z y) (* (/ -1 z) (* (neg y) x)) (/ -1 z) (* (neg y) x) (neg y))
1.0ms	z	@	0	((* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ (* x y) z) (* x y) (/ x (/ z y)) (/ z y) (* (/ -1 z) (* (neg y) x)) (/ -1 z) (* (neg y) x) (neg y))
1.0ms	z	@	-inf	((* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ (* x y) z) (* x y) (/ x (/ z y)) (/ z y) (* (/ -1 z) (* (neg y) x)) (/ -1 z) (* (neg y) x) (neg y))

simplify5.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	20	26
2	31	26
3	35	26
4	43	26
5	54	26
6	65	26
7	86	26
8	109	26
9	111	26
10	112	26
0	112	26

Stop Event

1×	iter limit
1×	saturated

Counts

8 → 8

Calls

Call 1

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

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

rewrite110.0ms (2.5%)

Memory

-11.7MiB live, 147.1MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	49
0	28	45
1	72	45
2	286	45
3	1420	45
4	6105	44
0	8215	44

Stop Event

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

Counts

12 → 1 181

Calls

Call 1

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

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

eval99.0ms (2.2%)

Memory: 28.6MiB live, 104.7MiB allocated
Compiler: Compiled 7 474 to 1 450 computations (80.6% saved)

prune12.0ms (0.3%)

Memory

4.2MiB live, 39.2MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	616	1	617
Fresh	2	0	2
Picked	1	4	5
Done	0	0	0
Total	619	5	624

Accuracy

100.0%

Counts

624 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.8%	(/.f64 (*.f64 x y) z)
▶	93.0%	(/.f64 y (/.f64 z x))
✓	92.8%	(/.f64 x (/.f64 z y))
✓	92.6%	(*.f64 (/.f64 y z) x)
✓	93.4%	(*.f64 (/.f64 x z) y)

Compiler

Compiled 25 to 30 computations (-20% saved)

simplify3.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 z x)
cost-diff	0	(/.f64 y (/.f64 z x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	9	11
2	12	11
3	16	11
4	17	11
0	17	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.4%)

Memory

-17.7MiB live, 27.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 z x)
accuracy	4.510537375690766	(/.f64 y (/.f64 z x))

Samples

14.0ms

256×

valid

Compiler

Compiled 24 to 14 computations (41.7% saved)

Precisions

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

ival-div: 8.0ms (101.7% of total)

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

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

series5.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

2 → 2

Calls

Call 1

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

Outputs
(/ (* x y) z)
(/ z x)

Calls

12 calls:

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

simplify2.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	9	8
2	12	8
3	13	8
0	13	8

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 2

Calls

Call 1

Inputs
(/ (* x y) z)
(/ z x)

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

rewrite93.0ms (2.1%)

Memory

-14.8MiB live, 58.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	24	8
2	120	8
3	666	8
4	4865	8
0	8513	8

Stop Event

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

Counts

2 → 231

Calls

Call 1

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

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

eval36.0ms (0.8%)

Memory: 7.6MiB live, 42.3MiB allocated
Compiler: Compiled 2 534 to 567 computations (77.6% saved)

prune5.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	233	0	233
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	233	5	238

Accuracy

100.0%

Counts

238 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.8%	(/.f64 (*.f64 x y) z)
✓	93.0%	(/.f64 y (/.f64 z x))
✓	92.8%	(/.f64 x (/.f64 z y))
✓	92.6%	(*.f64 (/.f64 y z) x)
✓	93.4%	(*.f64 (/.f64 x z) y)

Compiler

Compiled 85 to 60 computations (29.4% saved)

regimes34.0ms (0.8%)

Memory

-16.9MiB live, 33.3MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

7 calls:

14.0ms	(/.f64 y z)
3.0ms	y
3.0ms	z
3.0ms	x
3.0ms	t

Results

Accuracy	Segments	Branch
96.1%	2	`x`
98.3%	3	`y`
99.8%	2	`z`
95.4%	2	`t`
99.4%	2	`(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))`
99.4%	2	`(/.f64 (*.f64 (/.f64 y z) t) t)`
99.8%	2	`(/.f64 y z)`

Compiler

Compiled 23 to 36 computations (-56.5% saved)

regimes4.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	z
2.0ms	(/.f64 y z)

Results

Accuracy	Segments	Branch
99.8%	2	`(/.f64 y z)`
99.8%	2	`z`

Compiler

Compiled 4 to 9 computations (-125% saved)

regimes13.0ms (0.3%)

Memory

-9.0MiB live, 26.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

5.0ms	(/.f64 y z)
1.0ms	z
1.0ms	x
1.0ms	y
1.0ms	t

Results

Accuracy	Segments	Branch
93.4%	1	`t`
93.4%	1	`x`
93.4%	1	`y`
93.4%	1	`(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))`
93.4%	1	`(/.f64 (*.f64 (/.f64 y z) t) t)`
93.4%	1	`z`
93.4%	1	`(/.f64 y z)`

Compiler

Compiled 23 to 36 computations (-56.5% saved)

bsearch2.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	2.0923876379535793e-14	4.429325529894329e-13

Samples

1.0ms

16×

valid

Compiler

Compiled 22 to 29 computations (-31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.488616374866819e+263	1.370032626736189e+264

Compiler

Compiled 12 to 15 computations (-25% saved)

simplify27.0ms (0.6%)

Memory

-19.8MiB live, 55.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	35
1	17	35

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 z #s(literal 6338253001141147/158456325028528675187087900672 binary64)) (/.f64 y (/.f64 z x)) (*.f64 (/.f64 y z) x))

(if (<=.f64 (/.f64 y z) #s(literal 200000000000000003234567859001916695619234542430649362193511552592108307060071576872267044992881072857638106606636792630232643449349858347906483080050912951688686981971292051911618784649859977614178271254141329375207229894220366272872108750717380308893332605501440 binary64)) (*.f64 (/.f64 y z) x) (*.f64 (/.f64 x z) y))

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

Outputs

(if (<=.f64 z #s(literal 6338253001141147/158456325028528675187087900672 binary64)) (/.f64 y (/.f64 z x)) (*.f64 (/.f64 y z) x))

(if (<=.f64 (/.f64 y z) #s(literal 200000000000000003234567859001916695619234542430649362193511552592108307060071576872267044992881072857638106606636792630232643449349858347906483080050912951688686981971292051911618784649859977614178271254141329375207229894220366272872108750717380308893332605501440 binary64)) (*.f64 (/.f64 y z) x) (*.f64 (/.f64 x z) y))

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

soundness430.0ms (9.7%)

Memory

6.6MiB live, 250.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	49
0	28	45
1	72	45
2	286	45
3	1420	45
4	6105	44
0	8215	44
0	8	24
0	12	20
1	35	16
2	191	16
3	1459	16
0	5896	16

Stop Event

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

Compiler

Compiled 110 to 70 computations (36.4% saved)

preprocess449.0ms (10.1%)

Memory: 15.9MiB live, 342.1MiB allocated
Remove: (abs t)
Compiler: Compiled 470 to 294 computations (37.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	26
1	20	26
2	31	26
3	35	26
4	43	26
5	54	26
6	65	26
7	86	26
8	109	26
9	111	26
10	112	26
0	112	26

Iter	Nodes	Cost
0	12	26
1	20	26
2	31	26
3	35	26
4	43	26
5	54	26
6	65	26
7	86	26
8	109	26
9	111	26
10	112	26
0	112	26

start0.0ms (0%)

analyze416.0ms (9.4%)

sample1.4s (30.7%)

explain106.0ms (2.4%)

preprocess272.0ms (6.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify177.0ms (4%)

localize58.0ms (1.3%)

series12.0ms (0.3%)

simplify3.0ms (0.1%)

rewrite181.0ms (4.1%)

eval370.0ms (8.4%)

prune7.0ms (0.2%)

simplify38.0ms (0.9%)

localize65.0ms (1.5%)

series13.0ms (0.3%)

simplify5.0ms (0.1%)

rewrite110.0ms (2.5%)

eval99.0ms (2.2%)

prune12.0ms (0.3%)

simplify3.0ms (0.1%)

localize19.0ms (0.4%)

series5.0ms (0.1%)

simplify2.0ms (0.1%)

rewrite93.0ms (2.1%)

eval36.0ms (0.8%)

prune5.0ms (0.1%)

regimes34.0ms (0.8%)

regimes4.0ms (0.1%)

regimes13.0ms (0.3%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

simplify27.0ms (0.6%)

soundness430.0ms (9.7%)

preprocess449.0ms (10.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	26
1	20	26
2	31	26
3	35	26
4	43	26
5	54	26
6	65	26
7	86	26
8	109	26
9	111	26
10	112	26
0	112	26