Metrics for Exp of sum of logs

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze19.0ms (0.9%)

Memory

-43.3MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	50%	0.1%	0%	50%	0%	2
100%	25%	0%	0.1%	0%	74.9%	0%	3

Compiler

Compiled 8 to 8 computations (0% saved)

sample1.1s (50.1%)

Memory

19.2MiB live, 882.6MiB allocated

Samples

731.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 440.0ms

ival-log: 304.0ms (69.1% of total)

ival-exp: 84.0ms (19.1% of total)

ival-add: 41.0ms (9.3% of total)

ival-true: 7.0ms (1.6% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

explain96.0ms (4.4%)

Memory

18.5MiB live, 146.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
134	32	(4.446238641307173e-66 2.6185226637597866e-151)	13	(8.375162028556129e-60 16391346485786614000.0)	`(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))`
0	0	-	0	-	`a`
0	0	-	0	-	`b`
0	0	-	0	-	`(+.f64 (log.f64 a) (log.f64 b))`
0	0	-	0	-	`(log.f64 a)`
0	0	-	0	-	`(log.f64 b)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f64`	`(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))`	sensitivity	153	25

Confusion

	Predicted +	Predicted -
+	132	30
-	21	73

Precision

0.8627450980392157

Recall

0.8148148148148148

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	23	7
-	21	5	68

Precision?

0.856353591160221

Recall?

0.9567901234567902

Freqs

test

number	freq
0	103
1	153

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

53.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-log: 28.0ms (71.5% of total)

ival-exp: 8.0ms (20.4% of total)

ival-add: 2.0ms (5.1% of total)

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

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

preprocess31.0ms (1.4%)

Memory

-12.8MiB live, 25.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	36	23
2	70	17
3	111	17
4	164	17
5	170	17
0	6	6
0	10	6
1	14	3
2	19	3
0	19	3

Stop Event

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

Calls

Call 1

Inputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

Outputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(*.f64 b a)

Symmetry

(negabs b)

(negabs a)

(sort a b)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.6%	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify3.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 b)
cost-diff	0	(log.f64 a)
cost-diff	0	(+.f64 (log.f64 a) (log.f64 b))
cost-diff	19072	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	17
1	14	14
2	19	14
0	19	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(+.f64 (log.f64 a) (log.f64 b))
(log.f64 a)
a
(log.f64 b)
b

Outputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(*.f64 b a)
(+.f64 (log.f64 a) (log.f64 b))
(+.f64 (log.f64 b) (log.f64 a))
(log.f64 a)
a
(log.f64 b)
b

localize40.0ms (1.8%)

Memory

15.8MiB live, 53.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 b)
accuracy	0	(log.f64 a)
accuracy	0.5485556858808008	(+.f64 (log.f64 a) (log.f64 b))
accuracy	3.830057513607783	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

Samples

34.0ms

256×

valid

Compiler

Compiled 36 to 14 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-log: 23.0ms (85.6% of total)

ival-exp: 3.0ms (11.2% of total)

ival-add: 1.0ms (3.7% of total)

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

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

series132.0ms (6%)

Memory

-25.8MiB live, 173.9MiB allocated

Counts

4 → 16

Calls

Call 1

Inputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(+.f64 (log.f64 a) (log.f64 b))
(log.f64 a)
(log.f64 b)

Outputs
(exp (+ (log a) (log b)))
(+ (log a) (log b))
(log a)
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(+ (log b) (* -1 (log (/ 1 a))))
(* -1 (log (/ 1 a)))
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))
(+ (log -1) (* -1 (log (/ -1 a))))
(log b)
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(+ (log a) (* -1 (log (/ 1 b))))
(* -1 (log (/ 1 b)))
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))
(+ (log -1) (* -1 (log (/ -1 b))))

Calls

6 calls:

Time	Variable		Point	Expression
44.0ms	a	@	0	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b))
25.0ms	b	@	-inf	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b))
20.0ms	b	@	0	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b))
18.0ms	a	@	-inf	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b))
12.0ms	a	@	inf	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b))

simplify229.0ms (10.4%)

Memory

7.3MiB live, 85.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	67
1	70	52
2	136	52
3	332	52
4	715	52
5	1115	52
6	1426	52
7	1673	52
8	2148	52
9	2848	52
10	3176	52
11	3182	52
12	3924	52
13	4982	52
14	5078	52
15	5086	52
16	5094	52
17	5094	52
18	5162	52
19	5170	52
20	5174	52
21	7815	52
22	7908	52
0	8036	52

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

Inputs
(exp (+ (log a) (log b)))
(+ (log a) (log b))
(log a)
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(+ (log b) (* -1 (log (/ 1 a))))
(* -1 (log (/ 1 a)))
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))
(+ (log -1) (* -1 (log (/ -1 a))))
(log b)
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(+ (log a) (* -1 (log (/ 1 b))))
(* -1 (log (/ 1 b)))
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))
(+ (log -1) (* -1 (log (/ -1 b))))

Outputs
(exp (+ (log a) (log b)))
(*.f64 b a)
(+ (log a) (log b))
(+.f64 (log.f64 b) (log.f64 a))
(log a)
(log.f64 a)
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(*.f64 b a)
(+ (log b) (* -1 (log (/ 1 a))))
(+.f64 (log.f64 b) (log.f64 a))
(* -1 (log (/ 1 a)))
(log.f64 a)
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(*.f64 b a)
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))
(+.f64 (log.f64 b) (log.f64 a))
(+ (log -1) (* -1 (log (/ -1 a))))
(log.f64 a)
(log b)
(log.f64 b)
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(*.f64 b a)
(+ (log a) (* -1 (log (/ 1 b))))
(+.f64 (log.f64 b) (log.f64 a))
(* -1 (log (/ 1 b)))
(log.f64 b)
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(*.f64 b a)
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))
(+.f64 (log.f64 b) (log.f64 a))
(+ (log -1) (* -1 (log (/ -1 b))))
(log.f64 b)

rewrite259.0ms (11.8%)

Memory

-6.0MiB live, 112.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	10	13
1	29	11
2	144	11
3	1268	11
0	8970	11

Stop Event

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

Counts

4 → 239

Calls

Call 1

Inputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(+.f64 (log.f64 a) (log.f64 b))
(log.f64 a)
(log.f64 b)

Outputs
(.f64 (pow.f64 (pow.f64 (/.f64 a b) (log.f64 (.f64 b a))) (/.f64 (pow.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 a b) (log.f64 (*.f64 b a))) (/.f64 (pow.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 a (/.f64 (log.f64 a) (log.f64 (/.f64 a b)))) (/.f64 #s(literal 1 binary64) (pow.f64 b (/.f64 (log.f64 b) (log.f64 (/.f64 a b))))))
(*.f64 (pow.f64 a (/.f64 (log.f64 a) (log.f64 (/.f64 a b)))) (exp.f64 (/.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (log.f64 (/.f64 b a)))))
(*.f64 b a)
(*.f64 a b)
(pow.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 b) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))))) (fma.f64 (log.f64 b) (log.f64 (*.f64 b a)) (pow.f64 (log.f64 a) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64))) (-.f64 (pow.f64 (log.f64 a) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 (/.f64 b a)) (log.f64 b)) #s(literal 2 binary64))))) (fma.f64 (log.f64 a) (log.f64 a) (.f64 (log.f64 (/.f64 a b)) (log.f64 b))))
(pow.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (log.f64 (/.f64 b a)) (log.f64 b)) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 6 binary64))))) (fma.f64 (.f64 (log.f64 (/.f64 b a)) (log.f64 b)) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (neg.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)))) (pow.f64 (log.f64 a) #s(literal 4 binary64))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 b a)))
(pow.f64 (exp.f64 (pow.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))) (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 b) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64))))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (pow.f64 (log.f64 a) #s(literal 2 binary64)))) (pow.f64 (log.f64 (/.f64 b a)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64)))) (/.f64 (log.f64 (*.f64 b a)) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (pow.f64 (/.f64 a b) (log.f64 (.f64 b a))) (pow.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) #s(literal -1 binary64))) (fma.f64 (log.f64 b) (log.f64 (.f64 b a)) (pow.f64 (log.f64 a) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (pow.f64 (/.f64 a b) (log.f64 (.f64 b a))) (pow.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 b) #s(literal 2 binary64))) #s(literal -1 binary64))) (log.f64 (.f64 b a)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64)))) (pow.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 (/.f64 b a)) (log.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))) (fma.f64 (log.f64 a) (log.f64 a) (.f64 (log.f64 (/.f64 a b)) (log.f64 b))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64)))) (pow.f64 (+.f64 (pow.f64 (.f64 (log.f64 (/.f64 b a)) (log.f64 b)) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 6 binary64))) #s(literal -1 binary64))) (fma.f64 (.f64 (log.f64 (/.f64 b a)) (log.f64 b)) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (neg.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)))) (pow.f64 (log.f64 a) #s(literal 4 binary64))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (/.f64 a b) (log.f64 (*.f64 b a))) (pow.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (*.f64 b a) #s(literal 1 binary64))
(/.f64 (neg.f64 (pow.f64 a (/.f64 (log.f64 a) (log.f64 (/.f64 a b))))) (neg.f64 (pow.f64 b (/.f64 (log.f64 b) (log.f64 (/.f64 a b))))))
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (log.f64 (/.f64 b a)))) (exp.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (log.f64 (/.f64 b a)))))
(/.f64 (pow.f64 a (/.f64 (log.f64 a) (log.f64 (/.f64 a b)))) (pow.f64 b (/.f64 (log.f64 b) (log.f64 (/.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b (/.f64 (log.f64 b) (log.f64 (/.f64 a b)))) (pow.f64 a (/.f64 (log.f64 a) (log.f64 (/.f64 a b))))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 b a)))))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 a b) (log.f64 (.f64 b a)))) (pow.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64))))) (pow.f64 (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64))))
(exp.f64 (log.f64 (*.f64 b a)))
(.f64 (pow.f64 (pow.f64 (log.f64 (.f64 b a)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (log.f64 (*.f64 b a)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 a) #s(literal 6 binary64)) (pow.f64 (log.f64 b) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 b) #s(literal 9 binary64)) (pow.f64 (log.f64 a) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (log.f64 a) #s(literal 6 binary64)) (pow.f64 (log.f64 b) #s(literal 6 binary64))) (pow.f64 (.f64 (log.f64 b) (log.f64 a)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 (/.f64 b a)) (-.f64 (pow.f64 (log.f64 b) #s(literal 4 binary64)) (pow.f64 (log.f64 a) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (log.f64 b) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (log.f64 (/.f64 a b)) (-.f64 (pow.f64 (log.f64 a) #s(literal 6 binary64)) (pow.f64 (log.f64 b) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (log.f64 a) #s(literal 4 binary64)) (pow.f64 (log.f64 b) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 b) (log.f64 a)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 b) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64)))) (fma.f64 (log.f64 b) (log.f64 (.f64 b a)) (pow.f64 (log.f64 a) #s(literal 2 binary64))))
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(-.f64 (log.f64 a) (neg.f64 (log.f64 b)))
(exp.f64 (.f64 (log.f64 (pow.f64 (log.f64 (.f64 b a)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 b) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64)))) (fma.f64 (log.f64 b) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64)))) (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 b) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64)))) (*.f64 (log.f64 b) (log.f64 a))))
(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 b) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64)))) (.f64 (log.f64 b) (log.f64 (.f64 b a)))) (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 b) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64)))) (pow.f64 (log.f64 a) #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 b) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64)))) (pow.f64 (log.f64 a) #s(literal 2 binary64))) (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 b) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64)))) (.f64 (log.f64 b) (log.f64 (.f64 b a)))))
(+.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64))) (-.f64 (pow.f64 (log.f64 a) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 (/.f64 b a)) (log.f64 b)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 b) #s(literal 2 binary64)))) (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64))) (-.f64 (pow.f64 (log.f64 a) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 (/.f64 b a)) (log.f64 b)) #s(literal 2 binary64)))) (*.f64 (log.f64 b) (log.f64 a))))
(+.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64))) (-.f64 (pow.f64 (log.f64 a) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 (/.f64 b a)) (log.f64 b)) #s(literal 2 binary64)))) (pow.f64 (log.f64 a) #s(literal 2 binary64))) (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64))) (-.f64 (pow.f64 (log.f64 a) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 (/.f64 b a)) (log.f64 b)) #s(literal 2 binary64)))) (*.f64 (log.f64 (/.f64 a b)) (log.f64 b))))
(+.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (log.f64 (/.f64 b a)) (log.f64 b)) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 6 binary64)))) (.f64 (.f64 (log.f64 (/.f64 b a)) (log.f64 b)) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (neg.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)))))) (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (log.f64 (/.f64 b a)) (log.f64 b)) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 6 binary64)))) (pow.f64 (log.f64 a) #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (log.f64 (/.f64 b a)) (log.f64 b)) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 6 binary64)))) (pow.f64 (log.f64 a) #s(literal 4 binary64))) (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (log.f64 (/.f64 b a)) (log.f64 b)) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 6 binary64)))) (.f64 (.f64 (log.f64 (/.f64 b a)) (log.f64 b)) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (neg.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)))))))
(+.f64 (.f64 (pow.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)) (.f64 (log.f64 a) (log.f64 (.f64 b a)))) (.f64 (pow.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)) (.f64 (neg.f64 (log.f64 b)) (log.f64 (.f64 b a)))))
(+.f64 (.f64 (pow.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)) (.f64 (log.f64 (.f64 b a)) (log.f64 a))) (.f64 (pow.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)) (.f64 (log.f64 (.f64 b a)) (neg.f64 (log.f64 b)))))
(+.f64 (.f64 (pow.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)))) (.f64 (pow.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)) (pow.f64 (log.f64 a) #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)) (pow.f64 (log.f64 a) #s(literal 2 binary64))) (.f64 (pow.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (log.f64 b) (.f64 (log.f64 a) (log.f64 (/.f64 a b))) (pow.f64 (log.f64 b) #s(literal 3 binary64)))) (.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (log.f64 a) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))))))
(+.f64 (.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (log.f64 a) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))))) (.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (log.f64 b) (.f64 (log.f64 a) (log.f64 (/.f64 a b))) (pow.f64 (log.f64 b) #s(literal 3 binary64)))))
(+.f64 (.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))) (log.f64 b))) (.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))) (log.f64 a))))
(+.f64 (.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))) (log.f64 a))) (.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))) (log.f64 b))))
(+.f64 (.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64))))
(+.f64 (.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (log.f64 a)) (log.f64 b))
(+.f64 (/.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (log.f64 (/.f64 b a))) (/.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (log.f64 (/.f64 a b))))
(+.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (log.f64 (/.f64 a b))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (log.f64 (/.f64 b a)))))
(+.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (log.f64 (/.f64 a b))) (/.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (log.f64 (/.f64 b a))))
(+.f64 (log.f64 b) (*.f64 #s(literal 1 binary64) (log.f64 a)))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (log.f64 a) (log.f64 b))
(log.f64 (/.f64 a (pow.f64 b #s(literal -1 binary64))))
(log.f64 (*.f64 b a))
(*.f64 (pow.f64 (log.f64 a) #s(literal 1/2 binary64)) (pow.f64 (log.f64 a) #s(literal 1/2 binary64)))
(pow.f64 (log.f64 a) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (log.f64 a)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 a)))
(log.f64 a)
(*.f64 (pow.f64 (log.f64 b) #s(literal 1/2 binary64)) (pow.f64 (log.f64 b) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 b)))
(*.f64 #s(literal 1 binary64) (log.f64 b))
(pow.f64 (log.f64 b) #s(literal 1 binary64))
(neg.f64 (neg.f64 (log.f64 b)))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 b)))
(exp.f64 (*.f64 (log.f64 (log.f64 b)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 b)))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1 binary64))))
(log.f64 b)

eval30.0ms (1.4%)

Memory: 34.8MiB live, 34.8MiB allocated
Compiler: Compiled 7 433 to 805 computations (89.2% saved)

prune48.0ms (2.2%)

Memory

-27.6MiB live, 11.2MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	242	1	243
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	243	1	244

Accuracy

100.0%

Counts

244 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 b a)

Compiler

Compiled 3 to 3 computations (0% saved)

simplify3.0ms (0.1%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 b a)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
0	4	5
1	5	5
0	5	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 b a)
b
a

Outputs
(*.f64 b a)
(*.f64 a b)
b
a

localize10.0ms (0.5%)

Memory

9.4MiB live, 9.4MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 b a)

Samples

7.0ms

256×

valid

Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 2.0ms (96.4% of total)

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

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

series2.0ms (0.1%)

Memory

2.0MiB live, 2.0MiB allocated

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 b a)

Outputs
(* a b)

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b	@	-inf	((* b a))
0.0ms	a	@	-inf	((* b a))
0.0ms	a	@	0	((* b a))
0.0ms	a	@	inf	((* b a))
0.0ms	b	@	inf	((* b a))

simplify2.0ms (0.1%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	4	3
0	4	3

Stop Event

1×	iter limit
1×	saturated

Counts

1 → 1

Calls

Call 1

Inputs
(* a b)

Outputs
(* a b)
(*.f64 a b)

rewrite5.0ms (0.2%)

Memory

2.8MiB live, 2.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
0	4	3
1	5	3
0	5	3

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Counts

1 → 2

Calls

Call 1

Inputs
(*.f64 b a)

Outputs
(*.f64 a b)
(*.f64 b a)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 13 to 6 computations (53.8% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	3	0	3
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	3	1	4

Accuracy

100.0%

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 b a)

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes9.0ms (0.4%)

Memory

13.1MiB live, 13.1MiB allocated

Accuracy

Total -4.7b remaining (-∞%)

Threshold costs -4.7b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 b a)
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

Outputs
(*.f64 b a)

Calls

6 calls:

1.0ms	(log.f64 b)
1.0ms	(+.f64 (log.f64 a) (log.f64 b))
1.0ms	a
1.0ms	(log.f64 a)
1.0ms	b

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))`
100.0%	1	`(+.f64 (log.f64 a) (log.f64 b))`
100.0%	1	`(log.f64 a)`
100.0%	1	`(log.f64 b)`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

simplify42.0ms (1.9%)

Memory

-41.2MiB live, 41.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	4	3

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 b a)

Outputs
(*.f64 b a)
(*.f64 a b)

soundness96.0ms (4.4%)

Memory

38.0MiB live, 76.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	10	13
1	29	11
2	144	11
3	1268	11
0	8970	11

Stop Event

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

preprocess42.0ms (1.9%)

Memory

-12.7MiB live, 64.9MiB allocated

Remove

(sort a b)

(negabs a)

(negabs b)

Compiler

Compiled 60 to 60 computations (0% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze19.0ms (0.9%)

sample1.1s (50.1%)

explain96.0ms (4.4%)

preprocess31.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize40.0ms (1.8%)

series132.0ms (6%)

simplify229.0ms (10.4%)

rewrite259.0ms (11.8%)

eval30.0ms (1.4%)

prune48.0ms (2.2%)

simplify3.0ms (0.1%)

localize10.0ms (0.5%)

series2.0ms (0.1%)

simplify2.0ms (0.1%)

rewrite5.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes9.0ms (0.4%)

simplify42.0ms (1.9%)

soundness96.0ms (4.4%)

preprocess42.0ms (1.9%)

end0.0ms (0%)

Profiling