Metrics for Exp of sum of logs

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

sample841.0ms (49.1%)

Memory

17.0MiB live, 1 388.6MiB allocated; 143ms collecting garbage

Samples

587.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 366.0ms

ival-log: 194.0ms (53% of total)

ival-exp: 101.0ms (27.6% of total)

ival-add: 66.0ms (18% of total)

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

adjust: 2.0ms (0.5% of total)

Bogosity

explain83.0ms (4.8%)

Memory

27.6MiB live, 85.9MiB allocated; 11ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
153	19	(4.158917882920069e-80 2.227842705481991e+177)	9	(1.7764920112336969e+74 6.202119933101863e-107)	`(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))`
0	0	-	0	-	`a`
0	0	-	0	-	`b`
0	1	(8.401008679387027e+212 1.3843690135050865e-215)	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	163	23
`+.f64`	`(+.f64 (log.f64 a) (log.f64 b))`	cancellation	1	2

Confusion

	Predicted +	Predicted -
+	151	30
-	13	62

Precision

0.9207317073170732

Recall

0.8342541436464088

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	151	19	11
-	13	6	56

Precision?

0.8994708994708994

Recall?

0.9392265193370166

Freqs

test

number	freq
0	92
1	164

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms

512×

valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-log: 10.0ms (52.9% of total)

ival-exp: 5.0ms (26.4% of total)

ival-add: 2.0ms (10.6% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess259.0ms (15.1%)

Memory

13.7MiB live, 241.7MiB allocated; 36ms 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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.1%	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

Compiler

Compiled 6 to 6 computations (0% saved)

series125.0ms (7.3%)

Memory

-34.4MiB live, 108.0MiB allocated; 19ms 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
42.0ms	a	@	0	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)
21.0ms	a	@	-inf	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)
20.0ms	b	@	-inf	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)
18.0ms	b	@	0	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)
12.0ms	b	@	inf	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)

rewrite184.0ms (10.7%)

Memory

39.3MiB live, 129.3MiB allocated; 7ms 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 (log.f64 (/.f64 b (/.f64 #s(literal -1 binary64) a))) (log.f64 (/.f64 (/.f64 b (/.f64 #s(literal -1 binary64) a)) #s(literal -1 binary64))) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (exp.f64 (/.f64 (pow.f64 (log.f64 (/.f64 b (/.f64 #s(literal -1 binary64) a))) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 b (/.f64 #s(literal -1 binary64) a))) (log.f64 (/.f64 (/.f64 b (/.f64 #s(literal -1 binary64) a)) #s(literal -1 binary64))) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64))))) (exp.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64))))))
(*.f64 (exp.f64 (/.f64 (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))))) (exp.f64 (/.f64 (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))))))
(*.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 a (/.f64 #s(literal -1 binary64) b))) (log.f64 (/.f64 (/.f64 a (/.f64 #s(literal -1 binary64) b)) #s(literal -1 binary64))) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (exp.f64 (/.f64 (pow.f64 (log.f64 (/.f64 a (/.f64 #s(literal -1 binary64) b))) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 a (/.f64 #s(literal -1 binary64) b))) (log.f64 (/.f64 (/.f64 a (/.f64 #s(literal -1 binary64) b)) #s(literal -1 binary64))) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 (.f64 #s(literal -1 binary64) b) (pow.f64 (neg.f64 a) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -1 binary64) a) (pow.f64 (neg.f64 b) #s(literal 1 binary64)))
(*.f64 (/.f64 a (/.f64 #s(literal -1 binary64) b)) #s(literal -1 binary64))
(*.f64 (/.f64 b (/.f64 #s(literal -1 binary64) a)) #s(literal -1 binary64))
(.f64 (pow.f64 (neg.f64 a) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) b))
(.f64 (pow.f64 (neg.f64 b) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) a))
(*.f64 #s(literal -1 binary64) (/.f64 a (/.f64 #s(literal -1 binary64) b)))
(*.f64 #s(literal -1 binary64) (/.f64 b (/.f64 #s(literal -1 binary64) a)))
(*.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 #s(literal -1 binary64) (log.f64 b) (neg.f64 (log.f64 a))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 a) (neg.f64 (log.f64 b))))
(pow.f64 (*.f64 b a) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (.f64 b a))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (.f64 b a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (log.f64 (.f64 b a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 (.f64 b a))) #s(literal 2 binary64)) (.f64 (sinh.f64 (log.f64 (.f64 b a))) (cosh.f64 (log.f64 (*.f64 b a)))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (.f64 b a))) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (*.f64 b a))))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 b a))) (.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (*.f64 b a))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (.f64 b a))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (.f64 b a))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (.f64 b a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (.f64 b a))) #s(literal 2 binary64)) (.f64 (cosh.f64 (log.f64 (.f64 b a))) (sinh.f64 (log.f64 (*.f64 b a))))))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (.f64 b a)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (*.f64 b a)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 b a)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (*.f64 b a)))))) #s(literal 4 binary64))
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) a))))) (exp.f64 (/.f64 (pow.f64 (log.f64 (/.f64 b (/.f64 #s(literal -1 binary64) a))) #s(literal 2 binary64)) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) a))))))
(/.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 (exp.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (log.f64 (/.f64 a b)))) (exp.f64 (/.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (log.f64 (/.f64 a b)))))
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (/.f64 a (/.f64 #s(literal -1 binary64) b)))))) (exp.f64 (/.f64 (pow.f64 (log.f64 (/.f64 a (/.f64 #s(literal -1 binary64) b))) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (/.f64 a (/.f64 #s(literal -1 binary64) b)))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (.f64 b a))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (.f64 b a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log.f64 (.f64 b a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (.f64 b a))) #s(literal 2 binary64)) (.f64 (cosh.f64 (log.f64 (.f64 b a))) (sinh.f64 (log.f64 (*.f64 b a)))))))
(/.f64 (.f64 #s(literal -1 binary64) b) (exp.f64 (.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) a))) #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) a))
(/.f64 (.f64 #s(literal -1 binary64) a) (exp.f64 (.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) b))) #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) a))
(/.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a))))
(/.f64 b (exp.f64 (log.f64 (/.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64)))))
(/.f64 b (pow.f64 a #s(literal -1 binary64)))
(/.f64 a (exp.f64 (log.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)))))
(/.f64 a (pow.f64 b #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (log.f64 (.f64 b a))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b a))) (/.f64 (pow.f64 (sinh.f64 (log.f64 (.f64 b a))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b a))))
(-.f64 (/.f64 (cosh.f64 (log.f64 b)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (sinh.f64 (neg.f64 (log.f64 b))) (pow.f64 a #s(literal -1 binary64))))
(-.f64 (/.f64 (cosh.f64 (log.f64 a)) (pow.f64 b #s(literal -1 binary64))) (/.f64 (sinh.f64 (neg.f64 (log.f64 a))) (pow.f64 b #s(literal -1 binary64))))
(exp.f64 (log.f64 (*.f64 b a)))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (log.f64 (.f64 b a))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (log.f64 (.f64 b a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (.f64 b a))) #s(literal 2 binary64)) (.f64 (cosh.f64 (log.f64 (.f64 b a))) (sinh.f64 (log.f64 (.f64 b a))))))) (/.f64 (pow.f64 (sinh.f64 (log.f64 (.f64 b a))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (log.f64 (.f64 b a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (.f64 b a))) #s(literal 2 binary64)) (.f64 (cosh.f64 (log.f64 (.f64 b a))) (sinh.f64 (log.f64 (.f64 b a))))))))
(+.f64 (/.f64 (cosh.f64 (log.f64 b)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (sinh.f64 (log.f64 b)) (pow.f64 a #s(literal -1 binary64))))
(+.f64 (/.f64 (cosh.f64 (log.f64 a)) (pow.f64 b #s(literal -1 binary64))) (/.f64 (sinh.f64 (log.f64 a)) (pow.f64 b #s(literal -1 binary64))))
(+.f64 (sinh.f64 (log.f64 (.f64 b a))) (cosh.f64 (log.f64 (.f64 b a))))
(+.f64 (cosh.f64 (log.f64 (.f64 b a))) (sinh.f64 (log.f64 (.f64 b a))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 (/.f64 b (/.f64 #s(literal -1 binary64) a))) #s(literal 2 binary64)) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) a)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) a)))) (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) a)))) (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 b (/.f64 #s(literal -1 binary64) a))) #s(literal 2 binary64)) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) a)))) (/.f64 (pow.f64 (log.f64 (/.f64 b (/.f64 #s(literal -1 binary64) a))) #s(literal 2 binary64)) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) a)))) (.f64 (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) a)))) (/.f64 (pow.f64 (log.f64 (/.f64 b (/.f64 #s(literal -1 binary64) a))) #s(literal 2 binary64)) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) a))))))))
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(log.f64 b)
b
#s(approx (exp (+ (log a) (log b))) (*.f64 b a))
#s(approx (+ (log a) (log b)) (log.f64 (*.f64 b 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)) (log.f64 (*.f64 b a)))
#s(approx (log a) (log.f64 a))
#s(approx (exp (+ (log a) (log b))) (*.f64 b a))
#s(approx (+ (log a) (log b)) (log.f64 (*.f64 b 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)) (log.f64 (*.f64 b a)))
#s(approx (log b) (log.f64 b))
#s(approx (exp (+ (log a) (log b))) (*.f64 b a))
#s(approx (+ (log a) (log b)) (log.f64 (*.f64 b a)))
#s(approx (log b) (log.f64 b))

eval27.0ms (1.6%)

Memory: -18.1MiB live, 28.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 8 948 to 1 164 computations (87% saved)

prune45.0ms (2.6%)

Memory

-14.3MiB live, 38.9MiB allocated; 5ms 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

3.1MiB live, 3.1MiB 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)
1.0ms	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 (1.2%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms 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 (sqrt.f64 (.f64 a b))) (neg.f64 (sqrt.f64 (*.f64 a b))))
(.f64 (fabs.f64 (sqrt.f64 (.f64 a b))) (fabs.f64 (sqrt.f64 (*.f64 a b))))
(.f64 (pow.f64 (sqrt.f64 (.f64 a b)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 a b)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (.f64 a b)) (sqrt.f64 (*.f64 a b)))
(*.f64 a b)
(*.f64 b a)
(pow.f64 (.f64 (.f64 a b) (*.f64 a b)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 a b)) #s(literal 2 binary64))
(pow.f64 (*.f64 a b) #s(literal 1 binary64))
(exp.f64 (log.f64 (*.f64 a b)))
(+.f64 (cosh.f64 (log.f64 (.f64 a b))) (sinh.f64 (log.f64 (.f64 a b))))
(.f64 (neg.f64 (sqrt.f64 (.f64 a b))) (neg.f64 (sqrt.f64 (*.f64 a b))))
(.f64 (fabs.f64 (sqrt.f64 (.f64 a b))) (fabs.f64 (sqrt.f64 (*.f64 a b))))
(.f64 (pow.f64 (sqrt.f64 (.f64 a b)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 a b)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (.f64 a b)) (sqrt.f64 (*.f64 a b)))
(*.f64 a b)
(*.f64 b a)
(pow.f64 (.f64 (.f64 a b) (*.f64 a b)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 a b)) #s(literal 2 binary64))
(pow.f64 (*.f64 a b) #s(literal 1 binary64))
(exp.f64 (log.f64 (*.f64 a b)))
(+.f64 (cosh.f64 (log.f64 (.f64 a b))) (sinh.f64 (log.f64 (.f64 a 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: 2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 124 to 35 computations (71.8% saved)

prune3.0ms (0.2%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms 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

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Accuracy

Total -5.1b remaining (-∞%)

Threshold costs -5.1b (-∞%)

Counts

2 → 1

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))

Calls

6 calls:

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

simplify49.0ms (2.9%)

Memory

-13.3MiB live, 33.9MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	7	5
2	10	5
3	18	5
4	41	5
5	214	5
6	2144	5
7	5297	5

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations38.0ms (2.2%)

Memory

-26.2MiB live, 20.9MiB allocated; 2ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 5 to 5 computations (0% saved)

preprocess23.0ms (1.4%)

Memory

24.7MiB live, 24.7MiB allocated; 0ms collecting garbage

Remove

(sort a b)

(negabs b)

(negabs a)

Compiler

Compiled 58 to 58 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample841.0ms (49.1%)

explain83.0ms (4.8%)

preprocess259.0ms (15.1%)

eval0.0ms (0%)

prune0.0ms (0%)

series125.0ms (7.3%)

rewrite184.0ms (10.7%)

eval27.0ms (1.6%)

prune45.0ms (2.6%)

series3.0ms (0.2%)

rewrite21.0ms (1.2%)

eval2.0ms (0.1%)

prune3.0ms (0.2%)

regimes8.0ms (0.4%)

simplify49.0ms (2.9%)

derivations38.0ms (2.2%)

preprocess23.0ms (1.4%)

end0.0ms (0%)

Profiling