Metrics for Exp of sum of logs

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze7.0ms (0.4%)

Memory

-41.9MiB live, 1.6MiB allocated; 10ms 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)

sample880.0ms (43.8%)

Memory

19.0MiB live, 1 298.2MiB allocated; 174ms collecting garbage

Samples

644.0ms	8 254×	0	valid
1.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 369.0ms

ival-log: 217.0ms (58.8% of total)

ival-exp: 104.0ms (28.2% of total)

ival-add: 43.0ms (11.7% of total)

adjust: 2.0ms (0.5% of total)

ival-assert: 2.0ms (0.5% of total)

Bogosity

explain81.0ms (4%)

Memory

46.3MiB live, 139.1MiB allocated; 6ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
147	22	(1.932098216571462e+127 2.7194061558848653e-196)	9	(1.7219999089859317e-301 3.392331894315394e+267)	`(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))`
2	0	-	1	(7.207852248497583e-299 1.0081056979439595e+302)	`(+.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	160	19
`+.f64`	`(+.f64 (log.f64 a) (log.f64 b))`	cancellation	1	2

Confusion

	Predicted +	Predicted -
+	145	30
-	16	65

Precision

0.9006211180124224

Recall

0.8285714285714286

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	145	20	10
-	16	1	64

Precision?

0.9065934065934066

Recall?

0.9428571428571428

Freqs

test

number	freq
0	95
1	161

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-log: 11.0ms (55.8% of total)

ival-exp: 5.0ms (25.4% of total)

ival-add: 3.0ms (15.2% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess289.0ms (14.4%)

Memory

-33.4MiB live, 310.4MiB allocated; 107ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	38
1	41	20
2	96	20
3	301	20
4	1343	20
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 a)

(negabs b)

(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

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.3%	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

Compiler

Compiled 6 to 6 computations (0% saved)

series138.0ms (6.9%)

Memory

41.3MiB live, 265.4MiB allocated; 54ms collecting garbage

Counts

6 → 18

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
#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 a #s(hole binary64 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 b #s(hole binary64 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
50.0ms	a	@	0	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)
26.0ms	a	@	-inf	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)
21.0ms	b	@	0	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)
17.0ms	b	@	inf	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)
13.0ms	b	@	-inf	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)

rewrite260.0ms (13%)

Memory

4.8MiB live, 230.9MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	239
0	59	151
1	238	129
2	1926	129
0	9031	129

Stop Event

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

Counts

24 → 290

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
#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 a #s(hole binary64 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 b #s(hole binary64 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
(.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 (fabs.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 a)) (log.f64 b))) (fabs.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 a)) (log.f64 b))) (fma.f64 (.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 a)) (.f64 (log.f64 b) (log.f64 #s(literal -1 binary64)))))))) (exp.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 a)) #s(literal -1 binary64) (log.f64 b)) #s(literal 3 binary64)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 (fabs.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 a)) (log.f64 b))) (fabs.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 a)) (log.f64 b))) (fma.f64 (.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 a)) (*.f64 (log.f64 b) (log.f64 #s(literal -1 binary64)))))))))
(.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (fma.f64 (pow.f64 (log.f64 b) #s(literal 1 binary64)) (pow.f64 (log.f64 b) #s(literal 1 binary64)) (.f64 (log.f64 a) (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 a)) #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (log.f64 b))))))) (exp.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (fma.f64 (pow.f64 (log.f64 b) #s(literal 1 binary64)) (pow.f64 (log.f64 b) #s(literal 1 binary64)) (.f64 (log.f64 a) (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 a)) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 b))))))))
(.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (fma.f64 (pow.f64 (log.f64 a) #s(literal 1 binary64)) (pow.f64 (log.f64 a) #s(literal 1 binary64)) (.f64 (log.f64 b) (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 b)) #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (log.f64 a))))))) (exp.f64 (/.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (fma.f64 (pow.f64 (log.f64 a) #s(literal 1 binary64)) (pow.f64 (log.f64 a) #s(literal 1 binary64)) (.f64 (log.f64 b) (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 b)) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 a))))))))
(.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 a)) #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)))) (-.f64 (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 a)) #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)))) (log.f64 #s(literal -1 binary64))))))) (exp.f64 (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 a)) #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 a)) #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)))) (-.f64 (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 a)) #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)))) (log.f64 #s(literal -1 binary64))))))))
(.f64 (.f64 #s(literal -1 binary64) b) (*.f64 (pow.f64 (pow.f64 (neg.f64 a) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (neg.f64 a) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a) #s(literal -1 binary64))
(*.f64 (/.f64 (neg.f64 b) (pow.f64 a #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (.f64 (pow.f64 (pow.f64 (neg.f64 a) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (neg.f64 a) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1 binary64) b))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) a))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b) (pow.f64 a #s(literal -1 binary64))))
(*.f64 b a)
(*.f64 a b)
(pow.f64 (*.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 b)) #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (log.f64 a))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 a)) #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (log.f64 b))))
(pow.f64 (*.f64 b a) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 (sinh.f64 (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a))) (sinh.f64 (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a)))) (sinh.f64 (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a))) (/.f64 (pow.f64 (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 b a))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (neg.f64 (sinh.f64 (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a)))) (neg.f64 (sinh.f64 (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a)))) (-.f64 (.f64 (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 b a))) #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 b a))) #s(literal 2 binary64))) (.f64 (sinh.f64 (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a))) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a))) (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 b a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 b a))) (-.f64 (.f64 b a) (/.f64 #s(literal 1 binary64) (.f64 b a)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 b a))) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (sinh.f64 (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 b a))) #s(literal 2 binary64))) (neg.f64 (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 b a))) #s(literal 2 binary64))) (-.f64 (.f64 (sinh.f64 (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a))) (sinh.f64 (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a)))) (.f64 (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 b a))) #s(literal 2 binary64)) (sinh.f64 (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a))))))))
(/.f64 (fma.f64 (-.f64 (.f64 b a) (/.f64 #s(literal 1 binary64) (.f64 b a))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 b a))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 (.f64 b a) (/.f64 #s(literal 1 binary64) (*.f64 b a))))) #s(literal 4 binary64))
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(neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 b)))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))
(fma.f64 #s(literal 3 binary64) (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)) (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (log.f64 (neg.f64 b)) (log.f64 (neg.f64 b))) (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (fabs.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))) (fabs.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))) (.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)))))) (/.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)) (.f64 (log.f64 (neg.f64 b)) (log.f64 (neg.f64 b)))) (fma.f64 (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (fabs.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))) (fabs.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))) (.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)))))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))))) (/.f64 (*.f64 (log.f64 (neg.f64 b)) (log.f64 (neg.f64 b))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (log.f64 b)))
(-.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (fabs.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))) (fabs.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))) (-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (fabs.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))) (fabs.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))) (-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))))))
(+.f64 (/.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (fabs.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))) (fabs.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))) (-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (fabs.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))) (fabs.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))) (-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))))))
(+.f64 (log.f64 (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(+.f64 (/.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)) (.f64 (log.f64 (neg.f64 b)) (log.f64 (neg.f64 b)))) (neg.f64 (fma.f64 (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64))))))) (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))))))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))))) (/.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)) (.f64 (log.f64 (neg.f64 b)) (log.f64 (neg.f64 b)))) (neg.f64 (fma.f64 (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64))))))))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))))) (/.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))))))
(+.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))))
(log.f64 b)
b
#s(approx (exp (+ (log a) (log b))) (*.f64 b a))
#s(approx (+ (log a) (log b)) (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a)))
#s(approx (log a) (log.f64 a))
#s(approx a a)
#s(approx (exp (+ (log a) (log b))) (*.f64 b a))
#s(approx (+ (log a) (log b)) (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a)))
#s(approx (log a) (log.f64 a))
#s(approx (exp (+ (log a) (log b))) (*.f64 b a))
#s(approx (+ (log a) (log b)) (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a)))
#s(approx (log a) (log.f64 a))
#s(approx (log b) (log.f64 b))
#s(approx b b)
#s(approx (exp (+ (log a) (log b))) (*.f64 b a))
#s(approx (+ (log a) (log b)) (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a)))
#s(approx (log b) (log.f64 b))
#s(approx (exp (+ (log a) (log b))) (*.f64 b a))
#s(approx (+ (log a) (log b)) (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a)))
#s(approx (log b) (log.f64 b))

eval43.0ms (2.1%)

Memory: -19.2MiB live, 74.6MiB allocated; 18ms collecting garbage
Compiler: Compiled 15 351 to 1 213 computations (92.1% saved)

prune26.0ms (1.3%)

Memory

23.1MiB live, 69.0MiB allocated; 2ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	277	1	278
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	278	1	279

Accuracy

100.0%

Counts

279 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (*.f64 b a) #s(literal 1 binary64))

Compiler

Compiled 5 to 5 computations (0% saved)

series3.0ms (0.2%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Counts

5 → 4

Calls

Call 1

Inputs
(pow.f64 (*.f64 b a) #s(literal 1 binary64))
(*.f64 b a)
b
a
#s(literal 1 binary64)

Outputs
#s(approx (pow (* b a) 1) #s(hole binary64 (* a b)))
#s(approx (* b a) #s(hole binary64 (* a b)))
#s(approx a #s(hole binary64 a))
#s(approx b #s(hole binary64 b))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	b	@	-inf	((pow (* b a) 1) (* b a) b a 1)
1.0ms	a	@	-inf	((pow (* b a) 1) (* b a) b a 1)
1.0ms	a	@	inf	((pow (* b a) 1) (* b a) b a 1)
0.0ms	b	@	inf	((pow (* b a) 1) (* b a) b a 1)
0.0ms	a	@	0	((pow (* b a) 1) (* b a) b a 1)

rewrite21.0ms (1%)

Memory

-6.1MiB live, 40.8MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
0	13	29
1	28	29
0	101	29

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

9 → 29

Calls

Call 1

Inputs
(pow.f64 (*.f64 b a) #s(literal 1 binary64))
(*.f64 b a)
b
a
#s(literal 1 binary64)
#s(approx (pow (* b a) 1) #s(hole binary64 (* a b)))
#s(approx (* b a) #s(hole binary64 (* a b)))
#s(approx a #s(hole binary64 a))
#s(approx b #s(hole binary64 b))

Outputs
(.f64 (neg.f64 (pow.f64 (.f64 a b) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64))))
(.f64 (fabs.f64 (pow.f64 (.f64 a b) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 a b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a b) #s(literal 1/2 binary64)))
(*.f64 a b)
(*.f64 b a)
(pow.f64 (.f64 (.f64 a b) (*.f64 a b)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 a b) #s(literal 1 binary64))
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(+.f64 (cosh.f64 (+.f64 (log.f64 a) (log.f64 b))) (sinh.f64 (+.f64 (log.f64 a) (log.f64 b))))
(.f64 (neg.f64 (pow.f64 (.f64 a b) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64))))
(.f64 (fabs.f64 (pow.f64 (.f64 a b) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 a b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a b) #s(literal 1/2 binary64)))
(*.f64 a b)
(*.f64 b a)
(pow.f64 (.f64 (.f64 a b) (*.f64 a b)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 a b) #s(literal 1 binary64))
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(+.f64 (cosh.f64 (+.f64 (log.f64 a) (log.f64 b))) (sinh.f64 (+.f64 (log.f64 a) (log.f64 b))))
b
a
#s(literal 1 binary64)
#s(approx (pow (* b a) 1) (*.f64 a b))
#s(approx (pow (* b a) 1) (*.f64 a b))
#s(approx a a)
#s(approx b b)

eval2.0ms (0.1%)

Memory: 5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 136 to 37 computations (72.8% saved)

prune57.0ms (2.8%)

Memory

-55.1MiB live, 57.9MiB allocated; 34ms collecting garbage

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	1	18

Accuracy

100.0%

Counts

18 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 (*.f64 b a) #s(literal 1 binary64))

Compiler

Compiled 16 to 14 computations (12.5% saved)

regimes8.0ms (0.4%)

Memory

20.5MiB live, 20.5MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(pow.f64 (*.f64 b a) #s(literal 1 binary64))

Outputs
(pow.f64 (*.f64 b a) #s(literal 1 binary64))

Calls

6 calls:

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

regimes6.0ms (0.3%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
92.3%	1	`(log.f64 b)`
92.3%	1	`(log.f64 a)`
92.3%	1	`(+.f64 (log.f64 a) (log.f64 b))`
92.3%	1	`(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))`
92.3%	1	`a`
92.3%	1	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

simplify105.0ms (5.2%)

Memory

6.5MiB live, 53.0MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	11	11
2	14	11
3	22	11
4	45	11
5	218	11
6	2180	11
7	5275	11

Stop Event

1×	node limit

Calls

Call 1

Inputs
(pow.f64 (*.f64 b a) #s(literal 1 binary64))
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

Outputs
(pow.f64 (*.f64 b a) #s(literal 1 binary64))
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

derivations40.0ms (2%)

Memory

-35.2MiB live, 9.7MiB allocated; 1ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 11 to 9 computations (18.2% saved)

preprocess42.0ms (2.1%)

Memory

31.5MiB live, 76.6MiB allocated; 7ms collecting garbage

Remove

(sort a b)

(negabs b)

(negabs a)

Compiler

Compiled 94 to 90 computations (4.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze7.0ms (0.4%)

sample880.0ms (43.8%)

explain81.0ms (4%)

preprocess289.0ms (14.4%)

eval0.0ms (0%)

prune0.0ms (0%)

series138.0ms (6.9%)

rewrite260.0ms (13%)

eval43.0ms (2.1%)

prune26.0ms (1.3%)

series3.0ms (0.2%)

rewrite21.0ms (1%)

eval2.0ms (0.1%)

prune57.0ms (2.8%)

regimes8.0ms (0.4%)

regimes6.0ms (0.3%)

simplify105.0ms (5.2%)

derivations40.0ms (2%)

preprocess42.0ms (2.1%)

end0.0ms (0%)

Profiling