Metrics for Quotient of products

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze97.0ms (3.8%)

Memory

-7.9MiB live, 42.1MiB 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 9 to 9 computations (0% saved)

sample534.0ms (21.2%)

Memory

8.8MiB live, 191.4MiB allocated

Samples

325.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-mult: 104.0ms (66.7% of total)

ival-div: 45.0ms (28.9% of total)

ival-true: 5.0ms (3.2% of total)

ival-assert: 2.0ms (1.3% of total)

Bogosity

explain50.0ms (2%)

Memory

4.2MiB live, 30.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
34	-	3	(2.38605192427101e-242 7.766865548471148e-73 -4.4932948377527454e-209 -1.6704628744171025e-96)	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`
0	-	0	-	`(*.f64 b1 b2)`
0	-	0	-	`(*.f64 a1 a2)`
0	-	0	-	`a1`
0	-	0	-	`b2`
0	-	0	-	`b1`
0	-	0	-	`a2`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`	n/u	9	0
↳	`(*.f64 b1 b2)`	underflow	32
`/.f64`	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`	u/n	6	0
↳	`(*.f64 a1 a2)`	underflow	26
`/.f64`	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`	o/o	5	0
↳	`(*.f64 a1 a2)`	overflow	27
↳	`(*.f64 b1 b2)`	overflow	42
`/.f64`	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`	n/o	4	0
↳	`(*.f64 b1 b2)`	overflow	42
`/.f64`	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`	o/n	4	0
↳	`(*.f64 a1 a2)`	overflow	27
`/.f64`	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`	u/u	3	0
↳	`(*.f64 a1 a2)`	underflow	26
↳	`(*.f64 b1 b2)`	underflow	32

Confusion

	Predicted +	Predicted -
+	31	3
-	0	222

Precision

1.0

Recall

0.9117647058823529

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	31	0	3
-	0	0	222

Precision?

1.0

Recall?

0.9117647058823529

Freqs

test

number	freq
0	225
1	31

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

13.3701171875

Average Time

0.052227020263671875

Samples

23.0ms

512×

valid

Compiler

Compiled 62 to 32 computations (48.4% saved)

Precisions

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

ival-mult: 6.0ms (61.4% of total)

ival-div: 3.0ms (30.7% of total)

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

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

preprocess91.0ms (3.6%)

Memory

1.6MiB live, 9.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	114
1	134	102
2	409	102
3	1291	102
4	3144	102
5	5789	102
6	7190	102
7	7266	102
8	7288	102
9	7312	102
10	7479	102
11	7876	102
0	7	7
0	10	7
1	19	7
2	37	7
3	48	7
4	48	7
0	48	7

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 a1 a2) (.f64 b1 b2))

Outputs
(/.f64 (.f64 a1 a2) (.f64 b1 b2))
(*.f64 (/.f64 (/.f64 a1 b2) b1) a2)

Symmetry

(negabs b2)

(negabs b1)

(negabs a2)

(negabs a1)

(sort a1 a2)

(sort b1 b2)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

-7.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.7%	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify7.0ms (0.3%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	-384	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
cost-diff	0	(*.f64 b1 b2)
cost-diff	0	(*.f64 a1 a2)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	19	17
2	37	17
3	48	17
4	48	17
0	48	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (.f64 a1 a2) (.f64 b1 b2))
(*.f64 a1 a2)
a1
a2
(*.f64 b1 b2)
b1
b2

Outputs
(/.f64 (.f64 a1 a2) (.f64 b1 b2))
(*.f64 (/.f64 (/.f64 a1 b2) b1) a2)
(*.f64 a1 a2)
(*.f64 a2 a1)
a1
a2
(*.f64 b1 b2)
(*.f64 b2 b1)
b1
b2

localize15.0ms (0.6%)

Memory

6.6MiB live, 6.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 b1 b2)
accuracy	0	(*.f64 a1 a2)
accuracy	7.7885068510550415	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

Samples

11.0ms

256×

valid

Compiler

Compiled 36 to 16 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (68.2% of total)

ival-div: 1.0ms (22.7% of total)

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

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

series13.0ms (0.5%)

Memory

-6.8MiB live, 5.9MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
(*.f64 a1 a2)
(*.f64 b1 b2)
(/.f64 (.f64 a1 a2) (.f64 b1 b2))

Outputs
(* a1 a2)
(/ (* a1 a2) (* b1 b2))
(* b1 b2)

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	a1	@	inf	((* a1 a2) (* b1 b2) (/ (* a1 a2) (* b1 b2)))
2.0ms	a2	@	-inf	((* a1 a2) (* b1 b2) (/ (* a1 a2) (* b1 b2)))
2.0ms	a1	@	-inf	((* a1 a2) (* b1 b2) (/ (* a1 a2) (* b1 b2)))
1.0ms	a1	@	0	((* a1 a2) (* b1 b2) (/ (* a1 a2) (* b1 b2)))
1.0ms	b2	@	-inf	((* a1 a2) (* b1 b2) (/ (* a1 a2) (* b1 b2)))

simplify2.0ms (0.1%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	16	13
2	34	13
3	45	13
4	45	13
0	45	13

Stop Event

1×	iter limit
1×	saturated

Counts

3 → 3

Calls

Call 1

Inputs
(* a1 a2)
(/ (* a1 a2) (* b1 b2))
(* b1 b2)

Outputs
(* a1 a2)
(*.f64 a2 a1)
(/ (* a1 a2) (* b1 b2))
(*.f64 (/.f64 (/.f64 a1 b2) b1) a2)
(* b1 b2)
(*.f64 b2 b1)

rewrite93.0ms (3.7%)

Memory

-2.5MiB live, 28.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	27	13
2	131	13
3	800	13
4	5689	13
0	8053	13

Stop Event

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

Counts

3 → 277

Calls

Call 1

Inputs
(*.f64 a1 a2)
(*.f64 b1 b2)
(/.f64 (.f64 a1 a2) (.f64 b1 b2))

Outputs
(.f64 (pow.f64 (pow.f64 (.f64 a2 a1) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 a2 a1) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 a1) (neg.f64 a2))
(*.f64 (neg.f64 a2) (neg.f64 a1))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 a1) a2))
(.f64 #s(literal 1 binary64) (.f64 a2 a1))
(.f64 (.f64 (neg.f64 a1) a2) #s(literal -1 binary64))
(.f64 (.f64 a2 a1) #s(literal 1 binary64))
(*.f64 a2 a1)
(*.f64 a1 a2)
(pow.f64 (pow.f64 (*.f64 a2 a1) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 a2 a1) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (neg.f64 a1) a2) #s(literal 3 binary64))) (pow.f64 (.f64 a2 a1) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 a2 a1) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (.f64 a2 a1) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (.f64 a2 a1) #s(literal 2 binary64)))) (.f64 a2 a1))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (.f64 a2 a1) #s(literal 3 binary64)))) (pow.f64 (.f64 a2 a1) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (.f64 a2 a1) #s(literal 2 binary64)))) (*.f64 a2 a1))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (.f64 a2 a1) #s(literal 3 binary64)))) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 (.f64 a2 a1) #s(literal 2 binary64))) (.f64 (neg.f64 a1) a2))
(/.f64 (neg.f64 (pow.f64 (.f64 a2 a1) #s(literal 3 binary64))) (.f64 #s(literal -1 binary64) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (.f64 a2 a1) #s(literal 3 binary64))) (neg.f64 (pow.f64 (.f64 a2 a1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a2 a1) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 a1) a2) #s(literal -1 binary64))
(/.f64 (*.f64 a2 a1) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 a1) a2))
(fma.f64 (pow.f64 (pow.f64 (.f64 a2 a1) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (.f64 a2 a1) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 a1) (neg.f64 a2) #s(literal 0 binary64))
(fma.f64 (neg.f64 a2) (neg.f64 a1) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 a1) a2) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 a2 a1) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 a1) a2) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 a2 a1) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 a2 a1 #s(literal 0 binary64))
(fma.f64 a1 a2 #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a1) a2))
(+.f64 #s(literal 0 binary64) (*.f64 a2 a1))
(+.f64 (*.f64 a2 a1) #s(literal 0 binary64))
(exp.f64 (.f64 (log.f64 (.f64 a2 a1)) #s(literal 1 binary64)))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 a2 a1))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 b1)) (neg.f64 b2))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 b2)) (neg.f64 b1))
(.f64 (neg.f64 b1) (.f64 (neg.f64 b2) #s(literal 1 binary64)))
(*.f64 (neg.f64 b1) (neg.f64 b2))
(.f64 (neg.f64 b2) (.f64 (neg.f64 b1) #s(literal 1 binary64)))
(*.f64 (neg.f64 b2) (neg.f64 b1))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 b1) b2))
(.f64 #s(literal 1 binary64) (.f64 b2 b1))
(.f64 (.f64 (neg.f64 b1) b2) #s(literal -1 binary64))
(.f64 (.f64 b2 b1) #s(literal 1 binary64))
(*.f64 b2 b1)
(*.f64 b1 b2)
(pow.f64 (pow.f64 (*.f64 b2 b1) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 b2 b1) #s(literal 1 binary64))
(/.f64 (pow.f64 (pow.f64 (.f64 b2 b1) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 b2 b1) #s(literal -1/2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (.f64 b2 b1) #s(literal 2 binary64)))) (*.f64 b2 b1))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (.f64 b2 b1) #s(literal 3 binary64)))) (pow.f64 (*.f64 b2 b1) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (neg.f64 b1) b2) #s(literal 3 binary64))) (pow.f64 (.f64 b2 b1) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 b2 b1) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (.f64 b2 b1) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (.f64 b2 b1) #s(literal 2 binary64)))) (.f64 b2 b1))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (.f64 b2 b1) #s(literal 3 binary64)))) (pow.f64 (.f64 b2 b1) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 (.f64 b2 b1) #s(literal 2 binary64))) (.f64 (neg.f64 b1) b2))
(/.f64 (neg.f64 (pow.f64 (.f64 b2 b1) #s(literal 3 binary64))) (.f64 #s(literal -1 binary64) (pow.f64 (*.f64 b2 b1) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (.f64 b2 b1) #s(literal 3 binary64))) (neg.f64 (pow.f64 (.f64 b2 b1) #s(literal 2 binary64))))
(/.f64 (neg.f64 b1) (/.f64 #s(literal -1 binary64) b2))
(/.f64 (neg.f64 b2) (/.f64 #s(literal -1 binary64) b1))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b2 b1)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 b2 b1) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 b1) b2) #s(literal -1 binary64))
(/.f64 (*.f64 b2 b1) #s(literal 1 binary64))
(/.f64 b2 (pow.f64 b1 #s(literal -1 binary64)))
(/.f64 b1 (pow.f64 b2 #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 b1) b2))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b1)) (neg.f64 b2) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b2)) (neg.f64 b1) #s(literal 0 binary64))
(fma.f64 (neg.f64 b1) (*.f64 (neg.f64 b2) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 b1) (neg.f64 b2) #s(literal 0 binary64))
(fma.f64 (neg.f64 b2) (*.f64 (neg.f64 b1) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 b2) (neg.f64 b1) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b1) b2) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 b2 b1) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 b1) b2) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 b2 b1) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 b2 b1 #s(literal 0 binary64))
(fma.f64 b1 b2 #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 b1) b2))
(+.f64 #s(literal 0 binary64) (*.f64 b2 b1))
(+.f64 (*.f64 b2 b1) #s(literal 0 binary64))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 b2 b1))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 b2 b1)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 b2 b1)))
(.f64 (/.f64 (pow.f64 b1 #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 a1 b2) a2))
(.f64 (/.f64 (pow.f64 b2 #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 a1 b1) a2))
(.f64 (/.f64 (.f64 (neg.f64 a1) a2) (neg.f64 (pow.f64 (.f64 b2 b1) #s(literal 2 binary64)))) (.f64 b2 b1))
(.f64 (/.f64 (.f64 (neg.f64 a1) a2) (neg.f64 (pow.f64 (.f64 b2 b1) #s(literal 3 binary64)))) (pow.f64 (.f64 b2 b1) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 b2 a1) b1)) (neg.f64 a2))
(.f64 (.f64 (pow.f64 (*.f64 b2 b1) #s(literal -1 binary64)) (neg.f64 a1)) (neg.f64 a2))
(.f64 (.f64 (pow.f64 (*.f64 b2 b1) #s(literal -1 binary64)) (neg.f64 a2)) (neg.f64 a1))
(.f64 (.f64 (.f64 a2 a1) (pow.f64 (.f64 b2 b1) #s(literal -1/2 binary64))) (pow.f64 (*.f64 b2 b1) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 b2 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 a2) b1) a1))
(.f64 (.f64 (pow.f64 b2 #s(literal -1 binary64)) (neg.f64 a1)) (/.f64 (neg.f64 a2) b1))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) b2)) (/.f64 (neg.f64 a2) b1))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a2) b1)) (/.f64 (neg.f64 a1) b2))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) b2) #s(literal -1 binary64)) (*.f64 (/.f64 a1 b1) a2))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) b2) (*.f64 a2 a1)) (/.f64 #s(literal -1 binary64) b1))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) b2) a1) (/.f64 (neg.f64 a2) b1))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 b1 a2) b2)) (neg.f64 a1))
(*.f64 (/.f64 (/.f64 a1 b2) #s(literal 1 binary64)) (/.f64 a2 b1))
(*.f64 (/.f64 (/.f64 a2 b1) #s(literal 1 binary64)) (/.f64 a1 b2))
(*.f64 (/.f64 (/.f64 a2 b2) #s(literal 1 binary64)) (/.f64 a1 b1))
(*.f64 (/.f64 (/.f64 a1 b1) #s(literal 1 binary64)) (/.f64 a2 b2))
(*.f64 (/.f64 (/.f64 (neg.f64 a1) b2) b1) (neg.f64 a2))
(.f64 (.f64 (/.f64 (neg.f64 a1) b2) a2) (/.f64 #s(literal -1 binary64) b1))
(*.f64 (/.f64 (/.f64 (neg.f64 a2) b1) b2) (neg.f64 a1))
(.f64 (pow.f64 (.f64 (/.f64 (/.f64 b2 a1) a2) b1) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 b2 a1) a2) b1) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 (/.f64 b2 a1) a2) b1) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 b2 a1) a2) b1) #s(literal -1/2 binary64)))
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(exp.f64 (.f64 (log.f64 (.f64 (.f64 (/.f64 (/.f64 b2 a1) a2) b1) (.f64 (/.f64 (/.f64 b2 a1) a2) b1))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (/.f64 (/.f64 b2 a1) a2) b1) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (/.f64 a1 b2) b1) a2)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (/.f64 (/.f64 a1 b2) b1) a2)))

eval24.0ms (1%)

Memory: 0.3MiB live, 22.0MiB allocated
Compiler: Compiled 3 329 to 627 computations (81.2% saved)

prune7.0ms (0.3%)

Memory

2.7MiB live, 12.6MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	274	6	280
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	274	7	281

Accuracy

100.0%

Counts

281 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.4%	(/.f64 (/.f64 a2 b2) (/.f64 b1 a1))
	91.6%	(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
✓	87.7%	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
▶	81.3%	(/.f64 a1 (*.f64 (/.f64 b1 a2) b2))
▶	90.6%	(*.f64 (/.f64 (/.f64 a2 b2) b1) a1)
▶	85.4%	(*.f64 (/.f64 (/.f64 a1 b2) b1) a2)
▶	97.1%	(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))

Compiler

Compiled 91 to 91 computations (0% saved)

simplify5.0ms (0.2%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 b1 a2)
cost-diff	0	(*.f64 (/.f64 b1 a2) b2)
cost-diff	0	(/.f64 a1 (*.f64 (/.f64 b1 a2) b2))
cost-diff	0	(/.f64 a2 b2)
cost-diff	0	(/.f64 (/.f64 a2 b2) b1)
cost-diff	0	(*.f64 (/.f64 (/.f64 a2 b2) b1) a1)
cost-diff	0	(/.f64 a1 b2)
cost-diff	0	(/.f64 (/.f64 a1 b2) b1)
cost-diff	0	(*.f64 (/.f64 (/.f64 a1 b2) b1) a2)
cost-diff	0	(/.f64 a1 b1)
cost-diff	0	(/.f64 a2 b2)
cost-diff	0	(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
cost-diff	0	(/.f64 b1 a1)
cost-diff	0	(/.f64 a2 b2)
cost-diff	384	(/.f64 (/.f64 a2 b2) (/.f64 b1 a1))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	91
0	30	91
1	48	91
2	74	91
3	84	91
4	88	91
5	90	91
6	90	91
0	90	91

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (/.f64 a2 b2) (/.f64 b1 a1))
(/.f64 a2 b2)
a2
b2
(/.f64 b1 a1)
b1
a1
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 a2 b2)
a2
b2
(/.f64 a1 b1)
a1
b1
(*.f64 (/.f64 (/.f64 a1 b2) b1) a2)
(/.f64 (/.f64 a1 b2) b1)
(/.f64 a1 b2)
a1
b2
b1
a2
(*.f64 (/.f64 (/.f64 a2 b2) b1) a1)
(/.f64 (/.f64 a2 b2) b1)
(/.f64 a2 b2)
a2
b2
b1
a1
(/.f64 a1 (*.f64 (/.f64 b1 a2) b2))
a1
(*.f64 (/.f64 b1 a2) b2)
(/.f64 b1 a2)
b1
a2
b2

Outputs
(/.f64 (/.f64 a2 b2) (/.f64 b1 a1))
(*.f64 (/.f64 (/.f64 a2 b2) b1) a1)
(/.f64 a2 b2)
a2
b2
(/.f64 b1 a1)
b1
a1
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(*.f64 (/.f64 (/.f64 a2 b2) b1) a1)
(/.f64 a2 b2)
a2
b2
(/.f64 a1 b1)
a1
b1
(*.f64 (/.f64 (/.f64 a1 b2) b1) a2)
(*.f64 (/.f64 (/.f64 a2 b2) b1) a1)
(/.f64 (/.f64 a1 b2) b1)
(/.f64 a1 b2)
a1
b2
b1
a2
(*.f64 (/.f64 (/.f64 a2 b2) b1) a1)
(/.f64 (/.f64 a2 b2) b1)
(/.f64 a2 b2)
a2
b2
b1
a1
(/.f64 a1 (*.f64 (/.f64 b1 a2) b2))
(*.f64 (/.f64 (/.f64 a2 b2) b1) a1)
a1
(*.f64 (/.f64 b1 a2) b2)
(/.f64 b1 a2)
b1
a2
b2

localize42.0ms (1.6%)

Memory

-3.9MiB live, 18.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 b1 a2)
accuracy	5.129036797132158	(/.f64 a1 (*.f64 (/.f64 b1 a2) b2))
accuracy	7.701631225071414	(*.f64 (/.f64 b1 a2) b2)
accuracy	0	(/.f64 a2 b2)
accuracy	2.985421054242946	(/.f64 (/.f64 a2 b2) b1)
accuracy	5.469227316020499	(*.f64 (/.f64 (/.f64 a2 b2) b1) a1)
accuracy	0	(/.f64 a1 b2)
accuracy	2.9505740629263566	(*.f64 (/.f64 (/.f64 a1 b2) b1) a2)
accuracy	8.709411160267365	(/.f64 (/.f64 a1 b2) b1)
accuracy	0	(/.f64 a2 b2)
accuracy	0	(/.f64 a1 b1)
accuracy	1.8652906685117034	(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
accuracy	0	(/.f64 b1 a1)
accuracy	0	(/.f64 a2 b2)
accuracy	1.6403683844026027	(/.f64 (/.f64 a2 b2) (/.f64 b1 a1))

Samples

31.0ms

256×

valid

Compiler

Compiled 184 to 36 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 13.0ms (71.4% of total)

ival-mult: 5.0ms (27.4% of total)

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

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

series25.0ms (1%)

Memory

5.0MiB live, 13.7MiB allocated

Counts

13 → 9

Calls

Call 1

Inputs
(/.f64 (/.f64 a2 b2) (/.f64 b1 a1))
(/.f64 a2 b2)
(/.f64 b1 a1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 a1 b1)
(*.f64 (/.f64 (/.f64 a1 b2) b1) a2)
(/.f64 (/.f64 a1 b2) b1)
(/.f64 a1 b2)
(*.f64 (/.f64 (/.f64 a2 b2) b1) a1)
(/.f64 (/.f64 a2 b2) b1)
(/.f64 a1 (*.f64 (/.f64 b1 a2) b2))
(*.f64 (/.f64 b1 a2) b2)
(/.f64 b1 a2)

Outputs
(/ (* a1 a2) (* b1 b2))
(/ b1 a1)
(/ a1 b1)
(/ a1 (* b1 b2))
(/ a1 b2)
(/ a2 b2)
(/ a2 (* b1 b2))
(/ (* b1 b2) a2)
(/ b1 a2)

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	b2	@	0	((/ (/ a2 b2) (/ b1 a1)) (/ a2 b2) (/ b1 a1) (* (/ a2 b2) (/ a1 b1)) (/ a1 b1) (* (/ (/ a1 b2) b1) a2) (/ (/ a1 b2) b1) (/ a1 b2) (* (/ (/ a2 b2) b1) a1) (/ (/ a2 b2) b1) (/ a1 (* (/ b1 a2) b2)) (* (/ b1 a2) b2) (/ b1 a2))
3.0ms	a1	@	0	((/ (/ a2 b2) (/ b1 a1)) (/ a2 b2) (/ b1 a1) (* (/ a2 b2) (/ a1 b1)) (/ a1 b1) (* (/ (/ a1 b2) b1) a2) (/ (/ a1 b2) b1) (/ a1 b2) (* (/ (/ a2 b2) b1) a1) (/ (/ a2 b2) b1) (/ a1 (* (/ b1 a2) b2)) (* (/ b1 a2) b2) (/ b1 a2))
3.0ms	b1	@	0	((/ (/ a2 b2) (/ b1 a1)) (/ a2 b2) (/ b1 a1) (* (/ a2 b2) (/ a1 b1)) (/ a1 b1) (* (/ (/ a1 b2) b1) a2) (/ (/ a1 b2) b1) (/ a1 b2) (* (/ (/ a2 b2) b1) a1) (/ (/ a2 b2) b1) (/ a1 (* (/ b1 a2) b2)) (* (/ b1 a2) b2) (/ b1 a2))
3.0ms	b1	@	-inf	((/ (/ a2 b2) (/ b1 a1)) (/ a2 b2) (/ b1 a1) (* (/ a2 b2) (/ a1 b1)) (/ a1 b1) (* (/ (/ a1 b2) b1) a2) (/ (/ a1 b2) b1) (/ a1 b2) (* (/ (/ a2 b2) b1) a1) (/ (/ a2 b2) b1) (/ a1 (* (/ b1 a2) b2)) (* (/ b1 a2) b2) (/ b1 a2))
2.0ms	b2	@	-inf	((/ (/ a2 b2) (/ b1 a1)) (/ a2 b2) (/ b1 a1) (* (/ a2 b2) (/ a1 b1)) (/ a1 b1) (* (/ (/ a1 b2) b1) a2) (/ (/ a1 b2) b1) (/ a1 b2) (* (/ (/ a2 b2) b1) a1) (/ (/ a2 b2) b1) (/ a1 (* (/ b1 a2) b2)) (* (/ b1 a2) b2) (/ b1 a2))

simplify3.0ms (0.1%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	37
1	26	37
2	44	37
3	54	37
4	54	37
0	54	37

Stop Event

1×	iter limit
1×	saturated

Counts

9 → 9

Calls

Call 1

Inputs
(/ (* a1 a2) (* b1 b2))
(/ b1 a1)
(/ a1 b1)
(/ a1 (* b1 b2))
(/ a1 b2)
(/ a2 b2)
(/ a2 (* b1 b2))
(/ (* b1 b2) a2)
(/ b1 a2)

Outputs
(/ (* a1 a2) (* b1 b2))
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
(/ b1 a1)
(/.f64 b1 a1)
(/ a1 b1)
(/.f64 a1 b1)
(/ a1 (* b1 b2))
(/.f64 (/.f64 a1 b1) b2)
(/ a1 b2)
(/.f64 a1 b2)
(/ a2 b2)
(/.f64 a2 b2)
(/ a2 (* b1 b2))
(/.f64 (/.f64 a2 b2) b1)
(/ (* b1 b2) a2)
(/.f64 (*.f64 b1 b2) a2)
(/ b1 a2)
(/.f64 b1 a2)

rewrite115.0ms (4.6%)

Memory

-1.4MiB live, 51.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	65
0	30	65
1	98	65
2	564	65
3	3620	65
0	8320	65

Stop Event

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

Counts

13 → 1 960

Calls

Call 1

Inputs
(/.f64 (/.f64 a2 b2) (/.f64 b1 a1))
(/.f64 a2 b2)
(/.f64 b1 a1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 a1 b1)
(*.f64 (/.f64 (/.f64 a1 b2) b1) a2)
(/.f64 (/.f64 a1 b2) b1)
(/.f64 a1 b2)
(*.f64 (/.f64 (/.f64 a2 b2) b1) a1)
(/.f64 (/.f64 a2 b2) b1)
(/.f64 a1 (*.f64 (/.f64 b1 a2) b2))
(*.f64 (/.f64 b1 a2) b2)
(/.f64 b1 a2)

Outputs
(*.f64 (pow.f64 (/.f64 (/.f64 (/.f64 b1 a2) a1) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b2))
(.f64 (pow.f64 (pow.f64 (.f64 (neg.f64 a2) (neg.f64 a1)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 b1 b2) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (neg.f64 a2) a1) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 b1 b2)))
(.f64 (pow.f64 (/.f64 b2 (.f64 (neg.f64 a2) a1)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b1))
(.f64 (pow.f64 (.f64 (/.f64 (/.f64 (neg.f64 b1) a1) a2) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 b2 #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 b1 a2) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 a1) b2))
(*.f64 (pow.f64 (/.f64 b1 (/.f64 #s(literal -1 binary64) b2)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) a1) a2) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) a1) (pow.f64 b2 #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 a2) b1))
(.f64 (pow.f64 (pow.f64 (.f64 a1 a2) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 b1 b2) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 a1 b2) a2)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b1))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) a1) a2) #s(literal -1 binary64)) (pow.f64 (/.f64 b1 (/.f64 #s(literal -1 binary64) b2)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 a1 #s(literal -1 binary64)) a2) #s(literal -1 binary64)) (pow.f64 (.f64 b1 b2) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) a2) #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 a1) b2) b1))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) a1) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 a2) b1) b2))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) a1) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 a2 b2) b1))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b1) b2) (/.f64 a1 (/.f64 #s(literal -1 binary64) a2)))
(*.f64 (/.f64 (/.f64 (/.f64 a2 b2) b1) #s(literal -1 binary64)) (neg.f64 a1))
(*.f64 (/.f64 (/.f64 (neg.f64 a1) b1) b2) (neg.f64 a2))
(*.f64 (/.f64 (/.f64 a1 b2) #s(literal -1 binary64)) (/.f64 (neg.f64 a2) b1))
(.f64 (.f64 (/.f64 (/.f64 (neg.f64 a2) b1) b2) #s(literal -1 binary64)) a1)
(.f64 (.f64 (*.f64 (/.f64 a2 b1) a1) #s(literal 1 binary64)) (pow.f64 b2 #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 (/.f64 a1 b2) a2) #s(literal 1 binary64)) (pow.f64 b1 #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 a1 a2)) (pow.f64 (.f64 b1 b2) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (/.f64 b1 a1) b2) a2) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 (/.f64 b1 a1) b2) a2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 a1 b2) #s(literal 1 binary64)) (/.f64 a2 b1))
(*.f64 (/.f64 (/.f64 (/.f64 a2 b2) b1) #s(literal 1 binary64)) a1)
(.f64 (/.f64 (pow.f64 (.f64 b1 b2) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 a2 (pow.f64 a1 #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) b1) #s(literal -1 binary64)) (.f64 (/.f64 a1 b2) a2))
(*.f64 (/.f64 a1 (/.f64 #s(literal -1 binary64) a2)) (/.f64 (/.f64 #s(literal -1 binary64) b2) b1))
(.f64 (/.f64 a1 (pow.f64 a2 #s(literal -1 binary64))) (pow.f64 (.f64 b1 b2) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) b2) #s(literal -1 binary64)) (.f64 (/.f64 a2 b1) a1))
(*.f64 (/.f64 (/.f64 a2 b2) (/.f64 #s(literal -1 binary64) a1)) (/.f64 #s(literal -1 binary64) b1))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b2) b1) (/.f64 a1 (/.f64 #s(literal -1 binary64) a2)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b2) b1) (/.f64 a2 (/.f64 #s(literal -1 binary64) a1)))
(*.f64 (/.f64 a2 (/.f64 #s(literal -1 binary64) a1)) (/.f64 (/.f64 #s(literal -1 binary64) b2) b1))
(.f64 (/.f64 a2 (pow.f64 a1 #s(literal -1 binary64))) (pow.f64 (.f64 b1 b2) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 b1 b2) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 a2 #s(literal -1 binary64)) a1) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 b1 b2) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 a1 a2) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 b1 b2) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 a1 #s(literal -1 binary64)) a2) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 b1 b2) #s(literal -1 binary64)) (/.f64 a1 (pow.f64 a2 #s(literal -1 binary64))))
(.f64 (pow.f64 (.f64 b1 b2) #s(literal -1 binary64)) (/.f64 a2 (pow.f64 a1 #s(literal -1 binary64))))
(.f64 (pow.f64 (.f64 b1 b2) #s(literal -1 binary64)) (*.f64 a1 a2))
(.f64 (.f64 (/.f64 (neg.f64 a1) b1) a2) (/.f64 #s(literal -1 binary64) b2))
(*.f64 (/.f64 (/.f64 (neg.f64 a1) b2) b1) (neg.f64 a2))
(*.f64 (/.f64 (/.f64 (neg.f64 a2) b1) b2) (neg.f64 a1))
(*.f64 (/.f64 (neg.f64 a1) b1) (/.f64 (neg.f64 a2) b2))
(.f64 (/.f64 #s(literal -1 binary64) b1) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 a1 b2) a2)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) b1) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) a1) (/.f64 a2 b2)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) b1) (/.f64 (/.f64 a1 b2) (/.f64 #s(literal -1 binary64) a2)))
(*.f64 (/.f64 #s(literal -1 binary64) b1) (/.f64 (/.f64 a2 b2) (/.f64 #s(literal -1 binary64) a1)))
(.f64 (/.f64 #s(literal -1 binary64) b1) (.f64 (/.f64 (neg.f64 a2) b2) a1))
(*.f64 (/.f64 #s(literal -1 binary64) b2) (pow.f64 (/.f64 (/.f64 (neg.f64 b1) a2) a1) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) b2) (.f64 (/.f64 (neg.f64 a1) b1) a2))
(.f64 (.f64 (/.f64 (neg.f64 a2) b2) a1) (/.f64 #s(literal -1 binary64) b1))
(*.f64 (/.f64 (neg.f64 a2) b1) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) a1) (pow.f64 b2 #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 a2) b1) (/.f64 (neg.f64 a1) b2))
(.f64 (.f64 (neg.f64 a2) (neg.f64 a1)) (pow.f64 (*.f64 b1 b2) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 a2) a1) (/.f64 #s(literal -1 binary64) (*.f64 b1 b2)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 (/.f64 (neg.f64 a2) b1) b2) a1))
(.f64 (.f64 (/.f64 a2 b1) a1) (pow.f64 b2 #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 a1 b2) a2) (pow.f64 b1 #s(literal -1 binary64)))
(.f64 (pow.f64 b2 #s(literal -1 binary64)) (.f64 (/.f64 a2 b1) a1))
(*.f64 (pow.f64 b1 #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 (/.f64 b2 a1) a2) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 b1 #s(literal -1 binary64)) (.f64 (/.f64 a1 b2) a2))
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 a2 b2) b1) a1))
(*.f64 (/.f64 (neg.f64 a2) b2) (/.f64 (neg.f64 a1) b1))
(*.f64 (neg.f64 a2) (/.f64 (/.f64 (neg.f64 a1) b1) b2))
(*.f64 (neg.f64 a2) (/.f64 (/.f64 #s(literal -1 binary64) b2) (/.f64 b1 a1)))
(*.f64 (neg.f64 a2) (/.f64 (/.f64 (neg.f64 a1) b2) b1))
(*.f64 (/.f64 (neg.f64 a1) b2) (/.f64 (/.f64 #s(literal -1 binary64) b1) (pow.f64 a2 #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 a1) b2) (/.f64 (neg.f64 a2) b1))
(*.f64 (neg.f64 a1) (/.f64 (/.f64 #s(literal -1 binary64) b1) (/.f64 b2 a2)))
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(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 a2) b1) b2))
(/.f64 (*.f64 b1 b2) a2)
(/.f64 (pow.f64 a2 #s(literal -1 binary64)) (pow.f64 (*.f64 b1 b2) #s(literal -1 binary64)))
(/.f64 (/.f64 b2 a2) (pow.f64 b1 #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 a2 b2) b1) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a2 b2) b1))
(/.f64 (neg.f64 b2) (/.f64 (neg.f64 a2) b1))
(/.f64 (neg.f64 b1) (/.f64 (neg.f64 a2) b2))
(/.f64 (*.f64 (/.f64 (neg.f64 b1) a2) b2) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 b1 a2) b2) #s(literal 1 binary64))
(/.f64 (/.f64 b1 a2) (pow.f64 b2 #s(literal -1 binary64)))
(/.f64 b1 (/.f64 a2 b2))
(/.f64 b2 (/.f64 a2 b1))
(neg.f64 (*.f64 (/.f64 (neg.f64 b1) a2) b2))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) a2) (pow.f64 b1 #s(literal -1 binary64))) (/.f64 (/.f64 (neg.f64 b2) a2) (pow.f64 b1 #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 a2 b2)) #s(literal 1 binary64)) (*.f64 (/.f64 (neg.f64 b1) a2) b2))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) a2) (pow.f64 b2 #s(literal -1 binary64))) (*.f64 (/.f64 (neg.f64 b1) a2) b2))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b2 #s(literal -1 binary64))) (*.f64 (/.f64 (neg.f64 b1) a2) b2))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 a2 b1)) (*.f64 (/.f64 (neg.f64 b1) a2) b2))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) a2) (/.f64 #s(literal -1 binary64) b2)) (*.f64 (/.f64 (neg.f64 b1) a2) b2))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 a2) b1)) (*.f64 (/.f64 (neg.f64 b1) a2) b2))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) b2)) (*.f64 (/.f64 (neg.f64 b1) a2) b2))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) b1)) (/.f64 (/.f64 b2 a2) (/.f64 #s(literal -1 binary64) b1)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 a2 b2)) (*.f64 (/.f64 (neg.f64 b1) a2) b2))
(-.f64 (/.f64 #s(literal 0 binary64) a2) (*.f64 (/.f64 (neg.f64 b1) a2) b2))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 b1) a2) b2))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 a2 b1)) #s(literal -1 binary64)) (.f64 (log.f64 b2) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (.f64 (log.f64 (.f64 (/.f64 b1 a2) b2)) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (/.f64 b1 a2) b2)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 b1 a2) b2)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a2 b2) b1)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a2 b1) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a2 b1) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 b1) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) a2))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 b1)) (/.f64 #s(literal -1 binary64) a2))
(*.f64 (/.f64 #s(literal -1 binary64) a2) (pow.f64 (neg.f64 b1) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a2) (neg.f64 b1))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b1) a2))
(*.f64 (pow.f64 a2 #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) b1) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 a2 #s(literal -1 binary64)) b1)
(*.f64 #s(literal 1 binary64) (/.f64 b1 a2))
(*.f64 (neg.f64 b1) (/.f64 #s(literal -1 binary64) a2))
(*.f64 (/.f64 b1 a2) #s(literal 1 binary64))
(*.f64 b1 (pow.f64 a2 #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 a2 b1))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 a2 b1) (/.f64 a2 b1)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 a2 b1) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 a2 b1) #s(literal -1 binary64))
(pow.f64 (/.f64 b1 a2) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 b1) #s(literal 1 binary64))) a2)
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b1))) a2)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 a2 b1)) (.f64 (neg.f64 a2) #s(literal -1 binary64))) (*.f64 (neg.f64 a2) (/.f64 a2 b1)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 a2) b1)) (neg.f64 a2)) (.f64 (neg.f64 a2) (/.f64 (neg.f64 a2) b1)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) a2) (.f64 (neg.f64 a2) (neg.f64 b1))) (*.f64 (neg.f64 a2) a2))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 a2)) (.f64 (neg.f64 a2) b1)) (*.f64 a2 a2))
(/.f64 (*.f64 (neg.f64 b1) #s(literal 1 binary64)) (neg.f64 a2))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b1)) (neg.f64 a2))
(/.f64 (/.f64 #s(literal -1 binary64) a2) (/.f64 #s(literal -1 binary64) b1))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 a2) b1))
(/.f64 (pow.f64 a2 #s(literal -1 binary64)) (pow.f64 b1 #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a2 b1))
(/.f64 (neg.f64 b1) (neg.f64 a2))
(/.f64 b1 a2)
(neg.f64 (/.f64 (neg.f64 b1) a2))
(-.f64 (/.f64 #s(literal 0 binary64) a2) (/.f64 (neg.f64 b1) a2))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 b1) a2))
(exp.f64 (-.f64 (.f64 (log.f64 a2) #s(literal -1 binary64)) (.f64 (log.f64 b1) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 a2 b1)) #s(literal -1 binary64)))

eval92.0ms (3.6%)

Memory: 8.9MiB live, 82.2MiB allocated
Compiler: Compiled 13 518 to 2 595 computations (80.8% saved)

prune18.0ms (0.7%)

Memory

-13.7MiB live, 36.4MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	985	2	987
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	986	8	994

Accuracy

100.0%

Counts

994 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.6%	(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
✓	87.7%	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
✓	81.3%	(/.f64 a1 (*.f64 (/.f64 b1 a2) b2))
✓	90.6%	(*.f64 (/.f64 (/.f64 a2 b2) b1) a1)
✓	85.4%	(*.f64 (/.f64 (/.f64 a1 b2) b1) a2)
▶	86.3%	(.f64 (/.f64 a2 (.f64 b1 b2)) a1)
✓	97.1%	(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
▶	88.2%	(.f64 (/.f64 a1 (.f64 b1 b2)) a2)

Compiler

Compiled 56 to 56 computations (0% saved)

simplify4.0ms (0.1%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 a1 b1)
cost-diff	0	(*.f64 (/.f64 a1 b1) a2)
cost-diff	384	(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
cost-diff	0	(*.f64 b1 b2)
cost-diff	0	(/.f64 a2 (*.f64 b1 b2))
cost-diff	0	(.f64 (/.f64 a2 (.f64 b1 b2)) a1)
cost-diff	0	(*.f64 b1 b2)
cost-diff	0	(/.f64 a1 (*.f64 b1 b2))
cost-diff	0	(.f64 (/.f64 a1 (.f64 b1 b2)) a2)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	57
0	20	57
1	34	57
2	51	57
3	57	57
4	57	57
0	57	57

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
(/.f64 a1 (*.f64 b1 b2))
a1
(*.f64 b1 b2)
b1
b2
a2
(.f64 (/.f64 a2 (.f64 b1 b2)) a1)
(/.f64 a2 (*.f64 b1 b2))
a2
(*.f64 b1 b2)
b1
b2
a1
(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
(*.f64 (/.f64 a1 b1) a2)
(/.f64 a1 b1)
a1
b1
a2
b2

Outputs
(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
(.f64 (/.f64 a2 (.f64 b2 b1)) a1)
(/.f64 a1 (*.f64 b1 b2))
(/.f64 a1 (*.f64 b2 b1))
a1
(*.f64 b1 b2)
(*.f64 b2 b1)
b1
b2
a2
(.f64 (/.f64 a2 (.f64 b1 b2)) a1)
(.f64 (/.f64 a2 (.f64 b2 b1)) a1)
(/.f64 a2 (*.f64 b1 b2))
(/.f64 a2 (*.f64 b2 b1))
a2
(*.f64 b1 b2)
(*.f64 b2 b1)
b1
b2
a1
(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
(.f64 (/.f64 a2 (.f64 b2 b1)) a1)
(*.f64 (/.f64 a1 b1) a2)
(/.f64 a1 b1)
a1
b1
a2
b2

localize28.0ms (1.1%)

Memory

5.4MiB live, 12.9MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 a1 b1)
accuracy	2.2812490753669863	(*.f64 (/.f64 a1 b1) a2)
accuracy	5.326140729670182	(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
accuracy	0	(*.f64 b1 b2)
accuracy	5.469227316020499	(.f64 (/.f64 a2 (.f64 b1 b2)) a1)
accuracy	5.9538841911568	(/.f64 a2 (*.f64 b1 b2))
accuracy	0	(*.f64 b1 b2)
accuracy	2.9505740629263566	(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
accuracy	6.718632140264393	(/.f64 a1 (*.f64 b1 b2))

Samples

21.0ms

256×

valid

Compiler

Compiled 116 to 26 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 6.0ms (51.8% of total)

ival-mult: 6.0ms (51.8% of total)

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

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

series14.0ms (0.6%)

Memory

-6.0MiB live, 10.3MiB allocated

Counts

8 → 6

Calls

Call 1

Inputs
(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
(/.f64 a1 (*.f64 b1 b2))
(*.f64 b1 b2)
(.f64 (/.f64 a2 (.f64 b1 b2)) a1)
(/.f64 a2 (*.f64 b1 b2))
(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
(*.f64 (/.f64 a1 b1) a2)
(/.f64 a1 b1)

Outputs
(/ (* a1 a2) (* b1 b2))
(/ a1 (* b1 b2))
(/ (* a1 a2) b1)
(/ a1 b1)
(/ a2 (* b1 b2))
(* b1 b2)

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	a1	@	-inf	((* (/ a1 (* b1 b2)) a2) (/ a1 (* b1 b2)) (* b1 b2) (* (/ a2 (* b1 b2)) a1) (/ a2 (* b1 b2)) (/ (* (/ a1 b1) a2) b2) (* (/ a1 b1) a2) (/ a1 b1))
2.0ms	b1	@	-inf	((* (/ a1 (* b1 b2)) a2) (/ a1 (* b1 b2)) (* b1 b2) (* (/ a2 (* b1 b2)) a1) (/ a2 (* b1 b2)) (/ (* (/ a1 b1) a2) b2) (* (/ a1 b1) a2) (/ a1 b1))
1.0ms	b2	@	-inf	((* (/ a1 (* b1 b2)) a2) (/ a1 (* b1 b2)) (* b1 b2) (* (/ a2 (* b1 b2)) a1) (/ a2 (* b1 b2)) (/ (* (/ a1 b1) a2) b2) (* (/ a1 b1) a2) (/ a1 b1))
1.0ms	a2	@	-inf	((* (/ a1 (* b1 b2)) a2) (/ a1 (* b1 b2)) (* b1 b2) (* (/ a2 (* b1 b2)) a1) (/ a2 (* b1 b2)) (/ (* (/ a1 b1) a2) b2) (* (/ a1 b1) a2) (/ a1 b1))
1.0ms	b1	@	0	((* (/ a1 (* b1 b2)) a2) (/ a1 (* b1 b2)) (* b1 b2) (* (/ a2 (* b1 b2)) a1) (/ a2 (* b1 b2)) (/ (* (/ a1 b1) a2) b2) (* (/ a1 b1) a2) (/ a1 b1))

simplify3.0ms (0.1%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	21	28
2	37	28
3	44	28
4	44	28
0	44	28

Stop Event

1×	iter limit
1×	saturated

Counts

6 → 6

Calls

Call 1

Inputs
(/ (* a1 a2) (* b1 b2))
(/ a1 (* b1 b2))
(/ (* a1 a2) b1)
(/ a1 b1)
(/ a2 (* b1 b2))
(* b1 b2)

Outputs
(/ (* a1 a2) (* b1 b2))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/ a1 (* b1 b2))
(/.f64 a1 (*.f64 b2 b1))
(/ (* a1 a2) b1)
(*.f64 (/.f64 a2 b1) a1)
(/ a1 b1)
(/.f64 a1 b1)
(/ a2 (* b1 b2))
(/.f64 a2 (*.f64 b2 b1))
(* b1 b2)
(*.f64 b2 b1)

rewrite99.0ms (3.9%)

Memory

7.2MiB live, 30.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
0	20	42
1	60	42
2	284	42
3	1734	42
4	6610	42
0	8446	42

Stop Event

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

Counts

8 → 655

Calls

Call 1

Inputs
(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
(/.f64 a1 (*.f64 b1 b2))
(*.f64 b1 b2)
(.f64 (/.f64 a2 (.f64 b1 b2)) a1)
(/.f64 a2 (*.f64 b1 b2))
(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
(*.f64 (/.f64 a1 b1) a2)
(/.f64 a1 b1)

Outputs
(*.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 b2) a1) a2) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b1))
(*.f64 (pow.f64 (/.f64 (neg.f64 b2) a2) #s(literal -1 binary64)) (/.f64 (neg.f64 a1) b1))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) a2) #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 a1) b1) b2))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 a2 a1)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) b2) b1))
(.f64 (pow.f64 (pow.f64 (.f64 a2 a1) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 b2 b1) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 (.f64 b2 b1) a1) a2) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 b2 b1) a1) a2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 a1) b2) (/.f64 (neg.f64 a2) b1))
(*.f64 (/.f64 (neg.f64 a2) b2) (/.f64 (neg.f64 a1) b1))
(.f64 (.f64 (/.f64 a1 b2) a2) (pow.f64 b1 #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 a1) a2) b2) (/.f64 #s(literal -1 binary64) b1))
(*.f64 (/.f64 (/.f64 (neg.f64 a1) b1) b2) (neg.f64 a2))
(*.f64 (/.f64 (/.f64 (neg.f64 a2) b1) b2) (neg.f64 a1))
(*.f64 (/.f64 a2 (/.f64 b2 (/.f64 (neg.f64 a1) b1))) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal -1 binary64) b1) (/.f64 (.f64 (neg.f64 a1) a2) b2))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) b2) b1) (.f64 (neg.f64 a1) a2))
(.f64 (/.f64 #s(literal -1 binary64) b2) (.f64 (/.f64 (neg.f64 a1) b1) a2))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(*.f64 (/.f64 (neg.f64 a1) b1) (pow.f64 (/.f64 (neg.f64 b2) a2) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 a1) b1) (/.f64 (neg.f64 a2) b2))
(*.f64 (/.f64 (neg.f64 a2) b1) (/.f64 (neg.f64 a1) b2))
(.f64 (.f64 (neg.f64 a1) a2) (/.f64 (/.f64 #s(literal -1 binary64) b2) b1))
(*.f64 #s(literal -1 binary64) (/.f64 a2 (/.f64 b2 (/.f64 (neg.f64 a1) b1))))
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
(.f64 (.f64 a2 a1) (pow.f64 (*.f64 b2 b1) #s(literal -1 binary64)))
(.f64 (pow.f64 b2 #s(literal -1 binary64)) (.f64 (/.f64 a1 b1) a2))
(.f64 (pow.f64 b1 #s(literal -1 binary64)) (.f64 (/.f64 a1 b2) a2))
(.f64 (pow.f64 (.f64 b2 b1) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 a2 a1) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 b2 b1) #s(literal -1 binary64)) (*.f64 a2 a1))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 a2 (*.f64 b2 b1)) a1))
(.f64 (.f64 (/.f64 (neg.f64 a1) b1) a2) (/.f64 #s(literal -1 binary64) b2))
(*.f64 (neg.f64 a1) (/.f64 (/.f64 (neg.f64 a2) b1) b2))
(*.f64 (neg.f64 a2) (/.f64 (/.f64 (neg.f64 a1) b1) b2))
(.f64 (.f64 (/.f64 a2 (*.f64 b2 b1)) a1) #s(literal 1 binary64))
(.f64 (.f64 (/.f64 a1 b1) a2) (pow.f64 b2 #s(literal -1 binary64)))
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
(.f64 (/.f64 a2 (.f64 b2 b1)) a1)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(.f64 (/.f64 a1 (.f64 b2 b1)) a2)
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 (*.f64 b2 b1) a1) a2))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (/.f64 (.f64 b2 b1) a1) a2) (/.f64 (/.f64 (*.f64 b2 b1) a1) a2)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 (*.f64 b2 b1) a1) a2) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 b2 b1) a1) a2) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 a2 (.f64 b2 b1)) a1) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 a2 (/.f64 b2 (/.f64 (neg.f64 a1) b1))) (/.f64 a2 (/.f64 b2 (/.f64 (neg.f64 a1) b1))))) (/.f64 a2 (/.f64 b2 (/.f64 (neg.f64 a1) b1))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 a2 (/.f64 b2 (/.f64 (neg.f64 a1) b1))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 a2 (/.f64 b2 (/.f64 (neg.f64 a1) b1))) (/.f64 a2 (/.f64 b2 (/.f64 (neg.f64 a1) b1))) (*.f64 #s(literal 0 binary64) (/.f64 a2 (/.f64 b2 (/.f64 (neg.f64 a1) b1)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 b2) (.f64 (neg.f64 a1) a2))) (.f64 (neg.f64 b2) (.f64 b2 b1)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (neg.f64 b2) b1)) (.f64 (neg.f64 b2) (.f64 a2 a1))) (.f64 (neg.f64 b2) (.f64 (neg.f64 b2) b1)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 b2) (.f64 (/.f64 (neg.f64 a1) b1) a2))) (*.f64 (neg.f64 b2) b2))
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(fma.f64 (/.f64 (neg.f64 a1) b1) #s(literal 0 binary64) (*.f64 (/.f64 a1 b1) a2))
(fma.f64 (/.f64 (neg.f64 a1) b1) (neg.f64 a2) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 a2) b1) #s(literal 0 binary64) (*.f64 (/.f64 a1 b1) a2))
(fma.f64 (/.f64 (neg.f64 a2) b1) (neg.f64 a1) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 a1) a2) (/.f64 #s(literal -1 binary64) b1) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 a1) b1) (*.f64 (/.f64 a1 b1) a2))
(fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 a2) b1) (*.f64 (/.f64 a1 b1) a2))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 a1) b1) a2) #s(literal 0 binary64))
(fma.f64 (/.f64 a2 b1) a1 #s(literal 0 binary64))
(fma.f64 (*.f64 a2 a1) (pow.f64 b1 #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 b1 #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 a2 a1) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 b1 #s(literal -1 binary64)) (*.f64 a2 a1) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 a1 b1) a2) #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 (neg.f64 a1) b1) a2) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 a1) (/.f64 (neg.f64 a2) b1) #s(literal 0 binary64))
(fma.f64 (neg.f64 a2) (/.f64 (neg.f64 a1) b1) #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 a1 b1) a2) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 a1 b1) a2 #s(literal 0 binary64))
(fma.f64 a2 (/.f64 a1 b1) #s(literal 0 binary64))
(fma.f64 a1 (/.f64 a2 b1) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 b1 a2)) (*.f64 (/.f64 (neg.f64 a1) b1) a2))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 b1 a1)) (*.f64 (/.f64 (neg.f64 a1) b1) a2))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 b1) a1)) (*.f64 (/.f64 (neg.f64 a1) b1) a2))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 a1 #s(literal -1 binary64))) (*.f64 (/.f64 (neg.f64 a1) b1) a2))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 a1) b1) a2))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 a2) b1)) (.f64 (/.f64 a1 b1) a2))
(+.f64 (.f64 (/.f64 (neg.f64 a1) b1) #s(literal 0 binary64)) (.f64 (/.f64 a1 b1) a2))
(+.f64 (.f64 (/.f64 (neg.f64 a2) b1) #s(literal 0 binary64)) (.f64 (/.f64 a1 b1) a2))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 a1) b1)) (.f64 (/.f64 a1 b1) a2))
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 a1 b1) a2))
(+.f64 (*.f64 (/.f64 a1 b1) a2) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 b1 a2) a1)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) a1) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b1))
(*.f64 (pow.f64 (/.f64 b1 a1) #s(literal -1/2 binary64)) (pow.f64 (/.f64 b1 a1) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) b1) (pow.f64 (/.f64 #s(literal -1 binary64) a1) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) b1) (neg.f64 a1))
(*.f64 (/.f64 (neg.f64 a1) b1) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 a1) b1))
(*.f64 (pow.f64 b1 #s(literal -1 binary64)) a1)
(*.f64 #s(literal 1 binary64) (/.f64 a1 b1))
(*.f64 (neg.f64 a1) (/.f64 #s(literal -1 binary64) b1))
(*.f64 (/.f64 a1 b1) #s(literal 1 binary64))
(*.f64 a1 (pow.f64 b1 #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 b1 a1))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 b1 a1) (/.f64 b1 a1)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 b1 a1) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 b1 a1) #s(literal -1 binary64))
(pow.f64 (/.f64 a1 b1) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 a1) b1) (/.f64 (neg.f64 a1) b1))) (/.f64 (neg.f64 a1) b1))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 a1) b1) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 a1) b1) (/.f64 (neg.f64 a1) b1) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 a1) b1)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 b1) a1)) (neg.f64 b1)) (.f64 (neg.f64 b1) (/.f64 (neg.f64 b1) a1)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 b1 a1)) b1) (.f64 (neg.f64 b1) (/.f64 b1 a1)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 b1) (neg.f64 a1))) (.f64 (neg.f64 b1) b1))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 b1)) (.f64 (neg.f64 b1) a1)) (*.f64 b1 b1))
(/.f64 (neg.f64 (.f64 a1 a1)) (.f64 (neg.f64 b1) a1))
(/.f64 (neg.f64 (pow.f64 a1 #s(literal 3 binary64))) (.f64 (neg.f64 b1) (.f64 a1 a1)))
(/.f64 (/.f64 #s(literal -1 binary64) b1) (/.f64 #s(literal -1 binary64) a1))
(/.f64 (/.f64 (neg.f64 a1) b1) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b1) a1))
(/.f64 (pow.f64 b1 #s(literal -1 binary64)) (pow.f64 a1 #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b1 a1))
(/.f64 (neg.f64 a1) (neg.f64 b1))
(/.f64 (/.f64 a1 b1) #s(literal 1 binary64))
(/.f64 a1 b1)
(neg.f64 (/.f64 (neg.f64 a1) b1))
(fma.f64 (/.f64 #s(literal -1 binary64) b1) #s(literal 0 binary64) (/.f64 a1 b1))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 a1) b1))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) b1) #s(literal 0 binary64)) (/.f64 a1 b1))
(+.f64 #s(literal 0 binary64) (/.f64 a1 b1))
(exp.f64 (*.f64 (log.f64 (/.f64 b1 a1)) #s(literal -1 binary64)))

eval43.0ms (1.7%)

Memory: 0.9MiB live, 38.2MiB allocated
Compiler: Compiled 5 548 to 1 184 computations (78.7% saved)

prune11.0ms (0.4%)

Memory

-9.4MiB live, 19.8MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	471	0	471
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	471	8	479

Accuracy

100.0%

Counts

479 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.6%	(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
✓	87.7%	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
✓	81.3%	(/.f64 a1 (*.f64 (/.f64 b1 a2) b2))
✓	90.6%	(*.f64 (/.f64 (/.f64 a2 b2) b1) a1)
✓	85.4%	(*.f64 (/.f64 (/.f64 a1 b2) b1) a2)
✓	86.3%	(.f64 (/.f64 a2 (.f64 b1 b2)) a1)
✓	97.1%	(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
✓	88.2%	(.f64 (/.f64 a1 (.f64 b1 b2)) a2)

Compiler

Compiled 119 to 82 computations (31.1% saved)

regimes22.0ms (0.9%)

Memory

6.9MiB live, 14.6MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
(.f64 (/.f64 a2 (.f64 b1 b2)) a1)
(/.f64 (.f64 a1 a2) (.f64 b1 b2))
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(*.f64 (/.f64 (/.f64 a1 b2) b1) a2)
(*.f64 (/.f64 (/.f64 a2 b2) b1) a1)
(/.f64 a1 (*.f64 (/.f64 b1 a2) b2))
(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
(/.f64 (/.f64 a2 b2) (/.f64 b1 a1))

Outputs
(/.f64 (/.f64 a2 b2) (/.f64 b1 a1))

Calls

7 calls:

3.0ms	b2
3.0ms	a2
3.0ms	b1
3.0ms	a1
3.0ms	(*.f64 a1 a2)

Results

Accuracy	Segments	Branch
97.4%	1	`a1`
97.4%	1	`a2`
97.4%	1	`b1`
97.4%	1	`b2`
97.4%	1	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`
97.4%	1	`(*.f64 a1 a2)`
97.4%	1	`(*.f64 b1 b2)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes20.0ms (0.8%)

Memory

-1.8MiB live, 14.1MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
(.f64 (/.f64 a2 (.f64 b1 b2)) a1)
(/.f64 (.f64 a1 a2) (.f64 b1 b2))
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(*.f64 (/.f64 (/.f64 a1 b2) b1) a2)
(*.f64 (/.f64 (/.f64 a2 b2) b1) a1)
(/.f64 a1 (*.f64 (/.f64 b1 a2) b2))
(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)

Outputs
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(*.f64 (/.f64 (/.f64 a1 b2) b1) a2)

Calls

7 calls:

3.0ms	b1
3.0ms	b2
3.0ms	a1
3.0ms	a2
3.0ms	(*.f64 a1 a2)

Results

Accuracy	Segments	Branch
97.1%	1	`a1`
97.1%	1	`a2`
97.1%	1	`b1`
97.1%	1	`b2`
98.9%	2	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`
97.1%	1	`(*.f64 a1 a2)`
97.1%	1	`(*.f64 b1 b2)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes4.0ms (0.2%)

Memory

-4.8MiB live, 3.4MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
(.f64 (/.f64 a2 (.f64 b1 b2)) a1)
(/.f64 (.f64 a1 a2) (.f64 b1 b2))
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))

Outputs
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))

Calls

2 calls:

2.0ms	b1
2.0ms	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

Results

Accuracy	Segments	Branch
97.1%	1	`b1`
97.1%	1	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`

Compiler

Compiled 8 to 11 computations (-37.5% saved)

regimes12.0ms (0.5%)

Memory

3.2MiB live, 11.2MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
(.f64 (/.f64 a2 (.f64 b1 b2)) a1)
(/.f64 (.f64 a1 a2) (.f64 b1 b2))

Outputs
(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
(.f64 (/.f64 a2 (.f64 b1 b2)) a1)

Calls

7 calls:

2.0ms	a2
2.0ms	b2
2.0ms	a1
2.0ms	b1
2.0ms	(*.f64 a1 a2)

Results

Accuracy	Segments	Branch
88.2%	1	`a1`
90.9%	2	`b2`
91.6%	2	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`
90.0%	2	`a2`
90.0%	2	`(*.f64 a1 a2)`
91.6%	2	`(*.f64 b1 b2)`
90.9%	2	`b1`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes7.0ms (0.3%)

Memory

0.6MiB live, 8.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 a1 (.f64 b1 b2)) a2)

Outputs
(.f64 (/.f64 a1 (.f64 b1 b2)) a2)

Calls

6 calls:

1.0ms	b2
1.0ms	b1
1.0ms	a2
1.0ms	(*.f64 a1 a2)
1.0ms	(*.f64 b1 b2)

Results

Accuracy	Segments	Branch
88.2%	1	`(*.f64 a1 a2)`
88.2%	1	`a2`
88.2%	1	`b1`
88.2%	1	`b2`
88.2%	1	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`
88.2%	1	`(*.f64 b1 b2)`

Compiler

Compiled 16 to 29 computations (-81.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1860948331174635e+232	6.412444761871242e+236

Compiler

Compiled 10 to 14 computations (-40% saved)

bsearch3.0ms (0.1%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	1.4620772539971794e-31	2.1005949348858668e-28

Samples

1.0ms

32×

valid

Compiler

Compiled 30 to 42 computations (-40% 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)

simplify20.0ms (0.8%)

Memory

-5.5MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	65
1	31	65

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 a2 b2) (/.f64 b1 a1))
(if (<=.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2)) #s(literal 20000000000000001129508220410416828296812527639661167494011303283109131279351563943784395231789199659595363386950727241931319612892138477546103202912065595588395678806081246396371284761651825538391991766106035065448036973925902581760 binary64)) (.f64 (/.f64 a2 b2) (/.f64 a1 b1)) (.f64 (/.f64 (/.f64 a1 b2) b1) a2))
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(if (<=.f64 (.f64 b1 b2) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (.f64 (/.f64 a1 (.f64 b1 b2)) a2) (.f64 (/.f64 a2 (*.f64 b1 b2)) a1))
(.f64 (/.f64 a1 (.f64 b1 b2)) a2)

Outputs
(/.f64 (/.f64 a2 b2) (/.f64 b1 a1))
(if (<=.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2)) #s(literal 20000000000000001129508220410416828296812527639661167494011303283109131279351563943784395231789199659595363386950727241931319612892138477546103202912065595588395678806081246396371284761651825538391991766106035065448036973925902581760 binary64)) (.f64 (/.f64 a2 b2) (/.f64 a1 b1)) (.f64 (/.f64 (/.f64 a1 b2) b1) a2))
(if (<=.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2)) #s(literal 20000000000000001129508220410416828296812527639661167494011303283109131279351563943784395231789199659595363386950727241931319612892138477546103202912065595588395678806081246396371284761651825538391991766106035065448036973925902581760 binary64)) (.f64 (/.f64 a1 b1) (/.f64 a2 b2)) (.f64 (/.f64 (/.f64 a1 b2) b1) a2))
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
(if (<=.f64 (.f64 b1 b2) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (.f64 (/.f64 a1 (.f64 b1 b2)) a2) (.f64 (/.f64 a2 (*.f64 b1 b2)) a1))
(.f64 (/.f64 a1 (.f64 b1 b2)) a2)

soundness607.0ms (24%)

Memory

4.5MiB live, 4.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	27	13
2	131	13
3	800	13
4	5689	13
0	8053	13
0	17	65
0	30	65
1	98	65
2	564	65
3	3620	65
0	8320	65

Stop Event

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

Compiler

Compiled 205 to 125 computations (39% saved)

preprocess395.0ms (15.7%)

Memory: 0.0MiB live, 149.7MiB allocated
Compiler: Compiled 734 to 462 computations (37.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze97.0ms (3.8%)

sample534.0ms (21.2%)

explain50.0ms (2%)

preprocess91.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.3%)

localize15.0ms (0.6%)

series13.0ms (0.5%)

simplify2.0ms (0.1%)

rewrite93.0ms (3.7%)

eval24.0ms (1%)

prune7.0ms (0.3%)

simplify5.0ms (0.2%)

localize42.0ms (1.6%)

series25.0ms (1%)

simplify3.0ms (0.1%)

rewrite115.0ms (4.6%)

eval92.0ms (3.6%)

prune18.0ms (0.7%)

simplify4.0ms (0.1%)

localize28.0ms (1.1%)

series14.0ms (0.6%)

simplify3.0ms (0.1%)

rewrite99.0ms (3.9%)

eval43.0ms (1.7%)

prune11.0ms (0.4%)

regimes22.0ms (0.9%)

regimes20.0ms (0.8%)

regimes4.0ms (0.2%)

regimes12.0ms (0.5%)

regimes7.0ms (0.3%)

bsearch0.0ms (0%)

bsearch3.0ms (0.1%)

simplify20.0ms (0.8%)

soundness607.0ms (24%)

preprocess395.0ms (15.7%)

end0.0ms (0%)

Profiling