Metrics for Exp of sum of logs

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

sample798.0ms (43.2%)

Memory

11.4MiB live, 657.1MiB allocated

Samples

551.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 394.0ms

ival-log: 264.0ms (67% of total)

ival-exp: 81.0ms (20.6% of total)

ival-add: 40.0ms (10.2% of total)

ival-true: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain93.0ms (5%)

Memory

-16.7MiB live, 44.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
146	26	(6.982135195300832e-17 8.739984649099735e+100)	17	(2.6734969846738747e+66 1.4801847522674058e-89)	`(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))`
2	0	-	2	(4.488467794010517e-248 4.2518972565711903e+244)	`(+.f64 (log.f64 a) (log.f64 b))`
0	0	-	0	-	`a`
0	0	-	0	-	`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	155	37

Confusion

	Predicted +	Predicted -
+	136	41
-	19	60

Precision

0.8774193548387097

Recall

0.768361581920904

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	136	37	4
-	19	4	56

Precision?

0.8826530612244898

Recall?

0.9774011299435028

Freqs

test

number	freq
0	101
1	155

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

50.0ms

512×

valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-exp: 23.0ms (61.3% of total)

ival-log: 11.0ms (29.3% of total)

ival-add: 2.0ms (5.3% of total)

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

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

preprocess171.0ms (9.2%)

Memory

6.5MiB live, 71.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	35	23
2	91	17
3	296	17
4	1339	17
0	6	6
0	10	6
1	17	3
2	36	3
3	88	3
4	365	3
5	3211	3
0	8226	3

Stop Event

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

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: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.2%	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify117.0ms (6.3%)

Memory

17.5MiB live, 46.3MiB 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	3	(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	17	14
2	36	14
3	88	14
4	365	14
5	3211	14
0	8226	14

Stop Event

1×	iter limit
1×	node limit
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

localize21.0ms (1.1%)

Memory

-17.7MiB live, 13.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(log.f64 b)
accuracy	0.0	(log.f64 a)
accuracy	0.5755657043891694	(+.f64 (log.f64 a) (log.f64 b))
accuracy	4.100486180372555	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

Samples

16.0ms

256×

valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-log: 6.0ms (64.9% of total)

ival-exp: 2.0ms (21.6% of total)

ival-add: 1.0ms (10.8% of total)

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

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

series148.0ms (8%)

Memory

13.3MiB live, 78.0MiB 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
52.0ms	b	@	0	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b))
37.0ms	a	@	0	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b))
21.0ms	a	@	inf	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b))
16.0ms	a	@	-inf	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b))
12.0ms	b	@	inf	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b))

simplify126.0ms (6.8%)

Memory

-14.7MiB live, 45.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	91
1	96	72
2	272	72
3	725	72
4	2565	72
0	9720	72

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 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)) (log.f64 (/.f64 #s(literal -1 binary64) a)))
(+ (log -1) (* -1 (log (/ -1 a))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 a)) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log -1) (* -1 (log (/ -1 b))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b)))

rewrite170.0ms (9.2%)

Memory

4.3MiB live, 70.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	10	13
1	32	11
2	187	11
3	1839	11
0	8948	11

Stop Event

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

Counts

4 → 257

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 (exp.f64 (neg.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64)))))) (exp.f64 (neg.f64 (/.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64)))))))
(*.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 (exp.f64 (/.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))))) (exp.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))))))
(*.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))))) (exp.f64 (/.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))))))
(*.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))
(*.f64 b a)
(*.f64 a 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 (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)) (.f64 (log.f64 (/.f64 b a)) (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)) (-.f64 (*.f64 (log.f64 (/.f64 b a)) (log.f64 b)) (pow.f64 (log.f64 a) #s(literal 2 binary64))) (pow.f64 (log.f64 a) #s(literal 4 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 (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 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #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 a) #s(literal 2 binary64)) (pow.f64 (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))))) (log.f64 (*.f64 b a)))
(pow.f64 (*.f64 b a) (/.f64 (log.f64 (/.f64 a b)) (log.f64 (/.f64 a b))))
(pow.f64 (*.f64 b a) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (cosh.f64 (log.f64 (.f64 b a))) #s(literal 2 binary64)) (.f64 b a)) (.f64 (.f64 b a) (pow.f64 (sinh.f64 (log.f64 (.f64 b a))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 2 binary64))) (sinh.f64 (log.f64 (/.f64 b a)))) (.f64 (cosh.f64 (log.f64 (/.f64 b a))) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (/.f64 b a))) (sinh.f64 (log.f64 (/.f64 b a)))))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 2 binary64))) (sinh.f64 (log.f64 (/.f64 a b)))) (.f64 (cosh.f64 (log.f64 (/.f64 b a))) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (/.f64 b a))) (sinh.f64 (log.f64 (/.f64 a b)))))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))))))) (.f64 (cosh.f64 (log.f64 (/.f64 b a))) (+.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 3 binary64))))) (.f64 (cosh.f64 (log.f64 (/.f64 b a))) (+.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) (*.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))))))))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))))))) (.f64 (cosh.f64 (log.f64 (/.f64 b a))) (+.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 3 binary64))))) (.f64 (cosh.f64 (log.f64 (/.f64 b a))) (+.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) (*.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))))))))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 2 binary64))) #s(literal -2 binary64)) (.f64 (cosh.f64 (log.f64 (/.f64 b a))) (neg.f64 (-.f64 (.f64 b a) (.f64 b a))))) (*.f64 (cosh.f64 (log.f64 (/.f64 b a))) #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (cosh.f64 (log.f64 (/.f64 b a))) (-.f64 (.f64 b a) (.f64 b a)))) (*.f64 (cosh.f64 (log.f64 (/.f64 b a))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 3 binary64))) (sinh.f64 (log.f64 (/.f64 b a)))) (.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a)))))) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 2 binary64))))) (.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) (*.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a)))))) (sinh.f64 (log.f64 (/.f64 b a)))))
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(exp.f64 (/.f64 (log.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 a)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 a)))
(log.f64 a)
(*.f64 (sqrt.f64 (neg.f64 (log.f64 b))) (sqrt.f64 (neg.f64 (log.f64 b))))
(*.f64 (sqrt.f64 (log.f64 b)) (sqrt.f64 (log.f64 b)))
(pow.f64 (neg.f64 (log.f64 b)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (log.f64 b) #s(literal 1 binary64))
(neg.f64 (neg.f64 (log.f64 b)))
(sqrt.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 b)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 b)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 b)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 b)) (sinh.f64 (log.f64 b)))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 b)))
(fabs.f64 (neg.f64 (log.f64 b)))
(fabs.f64 (log.f64 b))
(+.f64 (cosh.f64 (log.f64 (log.f64 b))) (sinh.f64 (log.f64 (log.f64 b))))
(exp.f64 (/.f64 (log.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 b)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 b)))
(log.f64 b)

eval31.0ms (1.7%)

Memory: 2.6MiB live, 32.4MiB allocated
Compiler: Compiled 10 386 to 940 computations (90.9% saved)

prune3.0ms (0.2%)

Memory

10.5MiB live, 10.5MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	264	1	265
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	265	1	266

Accuracy

100.0%

Counts

266 → 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 (0.2%)

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

localize9.0ms (0.5%)

Memory

6.5MiB live, 6.5MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 b a)

Samples

6.0ms

256×

valid

Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions

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

ival-mult: 2.0ms (114.5% of total)

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

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

series3.0ms (0.1%)

Memory

-29.8MiB live, 1.6MiB allocated

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 b a)

Outputs
(* a b)

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	b	@	-inf	((* b a))
0.0ms	a	@	-inf	((* b a))
0.0ms	a	@	0	((* b a))
0.0ms	b	@	inf	((* b a))
0.0ms	a	@	inf	((* b a))

simplify3.0ms (0.1%)

Memory

1.5MiB live, 1.5MiB 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)

rewrite6.0ms (0.3%)

Memory

1.2MiB live, 1.2MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 13 to 6 computations (53.8% saved)

prune1.0ms (0.1%)

Memory

0.8MiB live, 0.8MiB 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)

regimes7.0ms (0.4%)

Memory

8.9MiB live, 8.9MiB allocated

Accuracy

Total -5.0b remaining (-∞%)

Threshold costs -5b (-∞%)

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

Results

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

Compiler

Compiled 17 to 21 computations (-23.5% saved)

simplify8.0ms (0.4%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 b a)

Outputs
(*.f64 b a)

soundness87.0ms (4.7%)

Memory

5.1MiB live, 5.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	10	13
1	32	11
2	187	11
3	1839	11
0	8948	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 (2.3%)

Memory

-12.3MiB live, 18.7MiB allocated

Remove

(sort a b)

(negabs a)

(negabs b)

Compiler

Compiled 42 to 42 computations (0% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample798.0ms (43.2%)

explain93.0ms (5%)

preprocess171.0ms (9.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify117.0ms (6.3%)

localize21.0ms (1.1%)

series148.0ms (8%)

simplify126.0ms (6.8%)

rewrite170.0ms (9.2%)

eval31.0ms (1.7%)

prune3.0ms (0.2%)

simplify3.0ms (0.2%)

localize9.0ms (0.5%)

series3.0ms (0.1%)

simplify3.0ms (0.1%)

rewrite6.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes7.0ms (0.4%)

simplify8.0ms (0.4%)

soundness87.0ms (4.7%)

preprocess42.0ms (2.3%)

end0.0ms (0%)

Profiling