Metrics for Exp of sum of logs

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

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)

sample956.0ms (38.7%)

Memory

21.4MiB live, 935.0MiB allocated; 164ms collecting garbage

Samples

674.0ms	8 252×	0	valid
1.0ms	4×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 517.0ms

ival-log: 237.0ms (45.9% of total)

ival-exp: 168.0ms (32.5% of total)

ival-add: 99.0ms (19.2% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain180.0ms (7.3%)

Memory

-18.0MiB live, 225.4MiB allocated; 75ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
146	26	(1.7512598640614109e-224 5.150266163644663e+161)	8	(8.095904101665515e+255 1.931220641161089e-299)	`(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))`
4	1	(5.1083349200662065e+193 2.4692545655673885e-196)	4	(6.742698842324112e+239 8.106915778638548e-229)	`(+.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	164	18
`+.f64`	`(+.f64 (log.f64 a) (log.f64 b))`	cancellation	1	5

Confusion

	Predicted +	Predicted -
+	144	26
-	21	65

Precision

0.8727272727272727

Recall

0.8470588235294118

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	144	21	5
-	21	2	63

Precision?

0.8776595744680851

Recall?

0.9705882352941176

Freqs

test

number	freq
0	91
1	165

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

78.0ms	510×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-exp: 44.0ms (76.3% of total)

ival-log: 11.0ms (19.1% of total)

ival-add: 2.0ms (3.5% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess301.0ms (12.2%)

Memory

-1.2MiB live, 338.2MiB allocated; 96ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	35	23
2	91	17
3	296	17
4	1343	17
0	6	6
0	10	6
1	17	3
2	36	3
3	88	3
4	366	3
5	3322	3
0	9531	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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.4%	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify221.0ms (8.9%)

Memory

33.8MiB live, 219.2MiB allocated; 21ms collecting garbage

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	366	14
5	3322	14
0	9531	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

localize35.0ms (1.4%)

Memory

-7.9MiB live, 37.7MiB allocated; 5ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(log.f64 b)
accuracy	0.0	(log.f64 a)
accuracy	0.534945138374098	(+.f64 (log.f64 a) (log.f64 b))
accuracy	4.062364884557663	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

Samples

30.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-log: 19.0ms (80.2% of total)

ival-exp: 3.0ms (12.7% of total)

ival-add: 1.0ms (4.2% of total)

adjust: 0.0ms (0% of total)

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

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

series178.0ms (7.2%)

Memory

20.5MiB live, 210.3MiB allocated; 20ms collecting garbage

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
#s(approx (exp (+ (log a) (log b))) #s(hole binary64 (exp (+ (log a) (log b)))))
#s(approx (+ (log a) (log b)) #s(hole binary64 (+ (log a) (log b))))
#s(approx (log a) #s(hole binary64 (log a)))
#s(approx (exp (+ (log a) (log b))) #s(hole binary64 (exp (+ (log b) (* -1 (log (/ 1 a)))))))
#s(approx (+ (log a) (log b)) #s(hole binary64 (+ (log b) (* -1 (log (/ 1 a))))))
#s(approx (log a) #s(hole binary64 (* -1 (log (/ 1 a)))))
#s(approx (exp (+ (log a) (log b))) #s(hole binary64 (exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))))
#s(approx (+ (log a) (log b)) #s(hole binary64 (+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))))
#s(approx (log a) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 a))))))
#s(approx (log b) #s(hole binary64 (log b)))
#s(approx (exp (+ (log a) (log b))) #s(hole binary64 (exp (+ (log a) (* -1 (log (/ 1 b)))))))
#s(approx (+ (log a) (log b)) #s(hole binary64 (+ (log a) (* -1 (log (/ 1 b))))))
#s(approx (log b) #s(hole binary64 (* -1 (log (/ 1 b)))))
#s(approx (exp (+ (log a) (log b))) #s(hole binary64 (exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))))
#s(approx (+ (log a) (log b)) #s(hole binary64 (+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))))
#s(approx (log b) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 b))))))

Calls

6 calls:

Time	Variable		Point	Expression
61.0ms	a	@	0	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b))
39.0ms	b	@	inf	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b))
24.0ms	b	@	0	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b))
23.0ms	a	@	inf	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b))
17.0ms	a	@	-inf	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b))

simplify92.0ms (3.7%)

Memory

-22.4MiB live, 73.8MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	49	174
1	112	140
2	299	140
3	866	140
4	6093	136
0	8052	136

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

Inputs
#s(approx (exp (+ (log a) (log b))) #s(hole binary64 (exp (+ (log a) (log b)))))
#s(approx (+ (log a) (log b)) #s(hole binary64 (+ (log a) (log b))))
#s(approx (log a) #s(hole binary64 (log a)))
#s(approx (exp (+ (log a) (log b))) #s(hole binary64 (exp (+ (log b) (* -1 (log (/ 1 a)))))))
#s(approx (+ (log a) (log b)) #s(hole binary64 (+ (log b) (* -1 (log (/ 1 a))))))
#s(approx (log a) #s(hole binary64 (* -1 (log (/ 1 a)))))
#s(approx (exp (+ (log a) (log b))) #s(hole binary64 (exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))))
#s(approx (+ (log a) (log b)) #s(hole binary64 (+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))))
#s(approx (log a) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 a))))))
#s(approx (log b) #s(hole binary64 (log b)))
#s(approx (exp (+ (log a) (log b))) #s(hole binary64 (exp (+ (log a) (* -1 (log (/ 1 b)))))))
#s(approx (+ (log a) (log b)) #s(hole binary64 (+ (log a) (* -1 (log (/ 1 b))))))
#s(approx (log b) #s(hole binary64 (* -1 (log (/ 1 b)))))
#s(approx (exp (+ (log a) (log b))) #s(hole binary64 (exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))))
#s(approx (+ (log a) (log b)) #s(hole binary64 (+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))))
#s(approx (log b) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 b))))))

Outputs
#s(approx (exp (+ (log a) (log b))) #s(hole binary64 (exp (+ (log a) (log b)))))
#s(approx (exp (+ (log a) (log b))) (*.f64 b a))
#s(approx (+ (log a) (log b)) #s(hole binary64 (+ (log a) (log b))))
#s(approx (+ (log a) (log b)) (+.f64 (log.f64 b) (log.f64 a)))
#s(approx (log a) #s(hole binary64 (log a)))
#s(approx (log a) (log.f64 a))
#s(approx (exp (+ (log a) (log b))) #s(hole binary64 (exp (+ (log b) (* -1 (log (/ 1 a)))))))
#s(approx (exp (+ (log a) (log b))) (*.f64 b a))
#s(approx (+ (log a) (log b)) #s(hole binary64 (+ (log b) (* -1 (log (/ 1 a))))))
#s(approx (+ (log a) (log b)) (+.f64 (log.f64 b) (log.f64 a)))
#s(approx (log a) #s(hole binary64 (* -1 (log (/ 1 a)))))
#s(approx (log a) (log.f64 a))
#s(approx (exp (+ (log a) (log b))) #s(hole binary64 (exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))))
#s(approx (exp (+ (log a) (log b))) (*.f64 b a))
#s(approx (+ (log a) (log b)) #s(hole binary64 (+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))))
#s(approx (+ (log a) (log b)) (+.f64 (+.f64 (log.f64 (neg.f64 a)) (log.f64 b)) (log.f64 #s(literal -1 binary64))))
#s(approx (log a) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 a))))))
#s(approx (log a) (+.f64 (log.f64 (neg.f64 a)) (log.f64 #s(literal -1 binary64))))
#s(approx (log b) #s(hole binary64 (log b)))
#s(approx (log b) (log.f64 b))
#s(approx (exp (+ (log a) (log b))) #s(hole binary64 (exp (+ (log a) (* -1 (log (/ 1 b)))))))
#s(approx (exp (+ (log a) (log b))) (*.f64 b a))
#s(approx (+ (log a) (log b)) #s(hole binary64 (+ (log a) (* -1 (log (/ 1 b))))))
#s(approx (+ (log a) (log b)) (+.f64 (log.f64 b) (log.f64 a)))
#s(approx (log b) #s(hole binary64 (* -1 (log (/ 1 b)))))
#s(approx (log b) (log.f64 b))
#s(approx (exp (+ (log a) (log b))) #s(hole binary64 (exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))))
#s(approx (exp (+ (log a) (log b))) (*.f64 b a))
#s(approx (+ (log a) (log b)) #s(hole binary64 (+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))))
#s(approx (+ (log a) (log b)) (+.f64 (+.f64 (log.f64 (neg.f64 b)) (log.f64 a)) (log.f64 #s(literal -1 binary64))))
#s(approx (log b) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 b))))))
#s(approx (log b) (+.f64 (log.f64 (neg.f64 b)) (log.f64 #s(literal -1 binary64))))

rewrite363.0ms (14.7%)

Memory

-19.9MiB live, 232.2MiB allocated; 137ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	10	13
1	32	11
2	187	11
3	1842	11
0	10243	11

Stop Event

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

Counts

4 → 266

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

eval37.0ms (1.5%)

Memory: -0.5MiB live, 43.5MiB allocated; 8ms collecting garbage
Compiler: Compiled 10 430 to 914 computations (91.2% saved)

prune3.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	273	1	274
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	274	1	275

Accuracy

100.0%

Counts

275 → 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)

simplify4.0ms (0.2%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

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 (0.4%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Localize:

Found 1 expressions of interest:

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

Samples

7.0ms

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 (96.3% of total)

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

adjust: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated; 0ms collecting garbage

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 b a)

Outputs
#s(approx (* b a) #s(hole binary64 (* a b)))

Calls

6 calls:

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

simplify3.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
0	6	7

Stop Event

1×	iter limit
1×	saturated

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* b a) #s(hole binary64 (* a b)))

Outputs
#s(approx (* b a) #s(hole binary64 (* a b)))
#s(approx (* b a) (*.f64 a b))

rewrite6.0ms (0.3%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

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; 0ms collecting garbage
Compiler: Compiled 13 to 6 computations (53.8% saved)

prune5.0ms (0.2%)

Memory

-43.9MiB live, 1.6MiB allocated; 8ms collecting garbage

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

18.2MiB live, 18.2MiB allocated; 0ms collecting garbage

Accuracy

Total -4.9b remaining (-∞%)

Threshold costs -4.9b (-∞%)

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:

3.0ms	b
1.0ms	a
1.0ms	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
1.0ms	(+.f64 (log.f64 a) (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)

simplify9.0ms (0.4%)

Memory

14.1MiB live, 14.0MiB allocated; 0ms collecting garbage

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)

derivations29.0ms (1.2%)

Memory

-37.9MiB live, 16.8MiB allocated; 10ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 3 to 3 computations (0% saved)

preprocess22.0ms (0.9%)

Memory

41.6MiB live, 41.6MiB allocated; 0ms collecting garbage

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; 0ms collecting garbage

start0.0ms (0%)

analyze1.0ms (0%)

sample956.0ms (38.7%)

explain180.0ms (7.3%)

preprocess301.0ms (12.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify221.0ms (8.9%)

localize35.0ms (1.4%)

series178.0ms (7.2%)

simplify92.0ms (3.7%)

rewrite363.0ms (14.7%)

eval37.0ms (1.5%)

prune3.0ms (0.1%)

simplify4.0ms (0.2%)

localize10.0ms (0.4%)

series2.0ms (0.1%)

simplify3.0ms (0.1%)

rewrite6.0ms (0.3%)

eval0.0ms (0%)

prune5.0ms (0.2%)

regimes9.0ms (0.4%)

simplify9.0ms (0.4%)

derivations29.0ms (1.2%)

preprocess22.0ms (0.9%)

end0.0ms (0%)

Profiling