Metrics for Exp of sum of logs

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

sample841.0ms (35%)

Memory

17.3MiB live, 849.2MiB allocated

Samples

576.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 376.0ms

ival-log: 226.0ms (60.1% of total)

ival-exp: 102.0ms (27.1% of total)

ival-add: 39.0ms (10.4% of total)

ival-true: 6.0ms (1.6% of total)

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

Bogosity

preprocess26.0ms (1.1%)

Memory

-17.6MiB live, 21.1MiB allocated

Algorithm

2×	egg-herbie

Rules

28×	`distribute-lft-neg-in`
18×	`neg-sub0`
16×	`neg-mul-1`
14×	`+-commutative`
12×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	38
1	38	20
2	71	20
3	112	20
4	164	20
5	170	20
0	6	6
1	10	3
2	13	3
0	13	3

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(exp (+ (log a) (log b)))
(exp (+ (log (neg a)) (log b)))
(exp (+ (log a) (log (neg b))))
(neg (exp (+ (log (neg a)) (log b))))
(neg (exp (+ (log a) (log (neg b)))))
(exp (+ (log b) (log a)))

Outputs
(exp (+ (log a) (log b)))
(* a b)
(exp (+ (log (neg a)) (log b)))
(* a (neg b))
(exp (+ (log a) (log (neg b))))
(* a (neg b))
(neg (exp (+ (log (neg a)) (log b))))
(* a b)
(neg (exp (+ (log a) (log (neg b)))))
(* a b)
(exp (+ (log b) (log a)))
(* a b)

Symmetry

(negabs a)

(negabs b)

(sort a b)

explain106.0ms (4.4%)

Memory

8.8MiB live, 128.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
145	20	(1.7421451655642298e-146 1.6110837098745105e+199)	3	(8.085169631035165e-281 4.8695640557472495e+264)	`(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))`
4	0	-	1	(1.8599634449169593e-192 1.5357151416911795e+186)	`(+.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	162	13
`+.f64`	`(+.f64 (log.f64 a) (log.f64 b))`	cancellation	3	2

Confusion

	Predicted +	Predicted -
+	153	16
-	12	75

Precision

0.9272727272727272

Recall

0.9053254437869822

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	153	11	5
-	12	4	71

Precision?

0.9111111111111111

Recall?

0.9704142011834319

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

36.0ms

512×

valid

Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-log: 12.0ms (52.9% of total)

ival-exp: 8.0ms (35.3% of total)

ival-add: 2.0ms (8.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.5%	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify3.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

6×	`exp-lowering-exp.f32`
6×	`exp-lowering-exp.f64`
4×	`+-lowering-+.f64`
4×	`log-lowering-log.f64`
4×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	10	14
2	13	14
0	13	14

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize33.0ms (1.4%)

Memory

-0.3MiB live, 39.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 b)
✓	accuracy	100.0%	(log.f64 a)
✓	accuracy	99.1%	(+.f64 (log.f64 a) (log.f64 b))
✓	accuracy	93.8%	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

Samples

26.0ms

256×

valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

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

ival-log: 15.0ms (77.4% of total)

ival-exp: 3.0ms (15.5% of total)

ival-add: 1.0ms (5.2% of total)

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

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

series172.0ms (7.2%)

Memory

-14.1MiB live, 102.5MiB allocated

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (exp (+ (log a) (log b)))>
#<alt (+ (log a) (log b))>
#<alt (log a)>
#<alt (log b)>

Outputs
#<alt (exp (+ (log a) (log b)))>
#<alt (exp (+ (log a) (log b)))>
#<alt (exp (+ (log a) (log b)))>
#<alt (exp (+ (log a) (log b)))>
#<alt (exp (+ (log b) (* -1 (log (/ 1 a)))))>
#<alt (exp (+ (log b) (* -1 (log (/ 1 a)))))>
#<alt (exp (+ (log b) (* -1 (log (/ 1 a)))))>
#<alt (exp (+ (log b) (* -1 (log (/ 1 a)))))>
#<alt (exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))>
#<alt (exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))>
#<alt (exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))>
#<alt (exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))>
#<alt (exp (+ (log a) (log b)))>
#<alt (exp (+ (log a) (log b)))>
#<alt (exp (+ (log a) (log b)))>
#<alt (exp (+ (log a) (log b)))>
#<alt (exp (+ (log a) (* -1 (log (/ 1 b)))))>
#<alt (exp (+ (log a) (* -1 (log (/ 1 b)))))>
#<alt (exp (+ (log a) (* -1 (log (/ 1 b)))))>
#<alt (exp (+ (log a) (* -1 (log (/ 1 b)))))>
#<alt (exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))>
#<alt (exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))>
#<alt (exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))>
#<alt (exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))>
#<alt (+ (log a) (log b))>
#<alt (+ (log a) (log b))>
#<alt (+ (log a) (log b))>
#<alt (+ (log a) (log b))>
#<alt (+ (log b) (* -1 (log (/ 1 a))))>
#<alt (+ (log b) (* -1 (log (/ 1 a))))>
#<alt (+ (log b) (* -1 (log (/ 1 a))))>
#<alt (+ (log b) (* -1 (log (/ 1 a))))>
#<alt (+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))>
#<alt (+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))>
#<alt (+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))>
#<alt (+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))>
#<alt (+ (log a) (log b))>
#<alt (+ (log a) (log b))>
#<alt (+ (log a) (log b))>
#<alt (+ (log a) (log b))>
#<alt (+ (log a) (* -1 (log (/ 1 b))))>
#<alt (+ (log a) (* -1 (log (/ 1 b))))>
#<alt (+ (log a) (* -1 (log (/ 1 b))))>
#<alt (+ (log a) (* -1 (log (/ 1 b))))>
#<alt (+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))>
#<alt (+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))>
#<alt (+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))>
#<alt (+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))>
#<alt (log a)>
#<alt (log a)>
#<alt (log a)>
#<alt (log a)>
#<alt (* -1 (log (/ 1 a)))>
#<alt (* -1 (log (/ 1 a)))>
#<alt (* -1 (log (/ 1 a)))>
#<alt (* -1 (log (/ 1 a)))>
#<alt (+ (log -1) (* -1 (log (/ -1 a))))>
#<alt (+ (log -1) (* -1 (log (/ -1 a))))>
#<alt (+ (log -1) (* -1 (log (/ -1 a))))>
#<alt (+ (log -1) (* -1 (log (/ -1 a))))>
#<alt (log b)>
#<alt (log b)>
#<alt (log b)>
#<alt (log b)>
#<alt (* -1 (log (/ 1 b)))>
#<alt (* -1 (log (/ 1 b)))>
#<alt (* -1 (log (/ 1 b)))>
#<alt (* -1 (log (/ 1 b)))>
#<alt (+ (log -1) (* -1 (log (/ -1 b))))>
#<alt (+ (log -1) (* -1 (log (/ -1 b))))>
#<alt (+ (log -1) (* -1 (log (/ -1 b))))>
#<alt (+ (log -1) (* -1 (log (/ -1 b))))>

Calls

18 calls:

Time	Variable		Point	Expression
60.0ms	a	@	0	(exp (+ (log a) (log b)))
49.0ms	a	@	-inf	(exp (+ (log a) (log b)))
32.0ms	b	@	-inf	(exp (+ (log a) (log b)))
18.0ms	b	@	0	(exp (+ (log a) (log b)))
6.0ms	b	@	inf	(exp (+ (log a) (log b)))

rewrite535.0ms (22.3%)

Memory

10.9MiB live, 401.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 112×	`accelerator-lowering-fma.f32`
7 112×	`accelerator-lowering-fma.f64`
4 202×	`-lowering-.f32`
4 202×	`-lowering-.f64`
4 178×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	25	11
2	140	11
3	1266	11
0	8981	11

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 239

Calls

Call 1

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

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

simplify396.0ms (16.5%)

Memory

17.3MiB live, 452.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 264×	`accelerator-lowering-fma.f32`
9 264×	`accelerator-lowering-fma.f64`
1 876×	`--lowering--.f32`
1 876×	`--lowering--.f64`
1 760×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	312
1	70	240
2	136	240
3	332	240
4	718	240
5	1112	240
6	1423	240
7	1670	240
8	2136	240
9	2839	240
10	3167	240
11	3173	240
12	3914	240
13	4944	240
14	5040	240
15	5048	240
16	5056	240
17	5056	240
18	5124	240
19	5132	240
20	5136	240
21	7753	240
22	7846	240
0	8120	240

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

Outputs
(exp (+ (log a) (log b)))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log a) (log b)))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log a) (log b)))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log a) (log b)))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log a) (log b)))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log a) (log b)))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log a) (log b)))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log a) (log b)))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(fma.f64 a b #s(literal 0 binary64))
(+ (log a) (log b))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log a) (log b))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log a) (log b))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log a) (log b))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log b) (* -1 (log (/ 1 a))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log b) (* -1 (log (/ 1 a))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log b) (* -1 (log (/ 1 a))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log b) (* -1 (log (/ 1 a))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log a) (log b))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log a) (log b))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log a) (log b))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log a) (log b))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log a) (* -1 (log (/ 1 b))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log a) (* -1 (log (/ 1 b))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log a) (* -1 (log (/ 1 b))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log a) (* -1 (log (/ 1 b))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))
(+.f64 (log.f64 a) (log.f64 b))
(log a)
(log.f64 a)
(log a)
(log.f64 a)
(log a)
(log.f64 a)
(log a)
(log.f64 a)
(* -1 (log (/ 1 a)))
(log.f64 a)
(* -1 (log (/ 1 a)))
(log.f64 a)
(* -1 (log (/ 1 a)))
(log.f64 a)
(* -1 (log (/ 1 a)))
(log.f64 a)
(+ (log -1) (* -1 (log (/ -1 a))))
(log.f64 a)
(+ (log -1) (* -1 (log (/ -1 a))))
(log.f64 a)
(+ (log -1) (* -1 (log (/ -1 a))))
(log.f64 a)
(+ (log -1) (* -1 (log (/ -1 a))))
(log.f64 a)
(log b)
(log.f64 b)
(log b)
(log.f64 b)
(log b)
(log.f64 b)
(log b)
(log.f64 b)
(* -1 (log (/ 1 b)))
(log.f64 b)
(* -1 (log (/ 1 b)))
(log.f64 b)
(* -1 (log (/ 1 b)))
(log.f64 b)
(* -1 (log (/ 1 b)))
(log.f64 b)
(+ (log -1) (* -1 (log (/ -1 b))))
(log.f64 b)
(+ (log -1) (* -1 (log (/ -1 b))))
(log.f64 b)
(+ (log -1) (* -1 (log (/ -1 b))))
(log.f64 b)
(+ (log -1) (* -1 (log (/ -1 b))))
(log.f64 b)

eval40.0ms (1.7%)

Memory: -22.9MiB live, 61.4MiB allocated
Compiler: Compiled 7 836 to 795 computations (89.9% saved)

prune45.0ms (1.9%)

Memory

9.4MiB live, 47.6MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	310	1	311
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	311	1	312

Accuracy

100.0%

Counts

312 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 3 computations (40% saved)

simplify3.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

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

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* b a)
b
a

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

localize10.0ms (0.4%)

Memory

14.1MiB live, 14.1MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.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 (94.1% of total)

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

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

series2.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB allocated

Counts

1 → 24

Calls

Call 1

Inputs
#<alt (* b a)>

Outputs
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>

Calls

6 calls:

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

rewrite7.0ms (0.3%)

Memory

7.7MiB live, 7.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

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 → 2

Calls

Call 1

Inputs
(* b a)

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

simplify11.0ms (0.5%)

Memory

-31.9MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	72
1	4	72
0	4	72

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)

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

eval2.0ms (0.1%)

Memory: 3.3MiB live, 3.3MiB allocated
Compiler: Compiled 80 to 4 computations (95% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.9MiB allocated

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	1	27

Accuracy

100.0%

Counts

27 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes9.0ms (0.4%)

Memory

14.3MiB live, 14.3MiB allocated

Accuracy

Total -4.8b remaining (-∞%)

Threshold costs -4.8b (-∞%)

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:

2.0ms	(log.f64 a)
1.0ms	(+.f64 (log.f64 a) (log.f64 b))
1.0ms	(log.f64 b)
1.0ms	b
1.0ms	a

Results

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify6.0ms (0.3%)

Memory

7.7MiB live, 7.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	4	3

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 b a)

Outputs
(*.f64 b a)

soundness97.0ms (4%)

Memory

0.2MiB live, 84.3MiB allocated

Rules

7 112×	`accelerator-lowering-fma.f32`
7 112×	`accelerator-lowering-fma.f64`
4 202×	`-lowering-.f32`
4 202×	`-lowering-.f64`
4 178×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	25	11
2	140	11
3	1266	11
0	8981	11

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 10 to 6 computations (40% saved)

preprocess50.0ms (2.1%)

Memory

-21.1MiB live, 56.6MiB allocated

Remove

(sort a b)

(negabs b)

(negabs a)

Compiler

Compiled 66 to 42 computations (36.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample841.0ms (35%)

preprocess26.0ms (1.1%)

explain106.0ms (4.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize33.0ms (1.4%)

series172.0ms (7.2%)

rewrite535.0ms (22.3%)

simplify396.0ms (16.5%)

eval40.0ms (1.7%)

prune45.0ms (1.9%)

simplify3.0ms (0.1%)

localize10.0ms (0.4%)

series2.0ms (0.1%)

rewrite7.0ms (0.3%)

simplify11.0ms (0.5%)

eval2.0ms (0.1%)

prune1.0ms (0%)

regimes9.0ms (0.4%)

simplify6.0ms (0.3%)

soundness97.0ms (4%)

preprocess50.0ms (2.1%)

end0.0ms (0%)

Profiling