Metrics for Exp of sum of logs

analyze1.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

sample904.0ms (37.2%)

Memory

25.3MiB live, 1 248.1MiB allocated

Samples

622.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 402.0ms

ival-log: 254.0ms (63.2% of total)

ival-exp: 91.0ms (22.7% of total)

ival-add: 48.0ms (11.9% of total)

ival-true: 6.0ms (1.5% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

preprocess21.0ms (0.9%)

Memory

-8.2MiB live, 30.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	36	23
2	70	17
3	111	17
4	164	17
5	170	17
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)

Symmetry

(negabs b)

(negabs a)

(sort a b)

explain118.0ms (4.8%)

Memory

-29.9MiB live, 107.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
158	26	(2.2111812037066692e-169 1.9341370842721898e+247)	10	(1.0179707320892395e-97 3.347649677028124e+64)	`(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))`
3	0	-	3	(5.706003272316832e-281 6.946175980077064e+274)	`(+.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	174	18

Confusion

	Predicted +	Predicted -
+	155	24
-	19	58

Precision

0.8908045977011494

Recall

0.8659217877094972

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	155	19	5
-	19	3	55

Precision?

0.8877551020408163

Recall?

0.9720670391061452

Freqs

test

number	freq
0	82
1	174

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions

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

ival-log: 12.0ms (58.9% of total)

ival-exp: 5.0ms (24.5% of total)

ival-add: 2.0ms (9.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB 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

localize24.0ms (1%)

Memory

26.7MiB live, 26.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 b)
✓	accuracy	100.0%	(log.f64 a)
✓	accuracy	99.2%	(+.f64 (log.f64 a) (log.f64 b))
✓	accuracy	93.3%	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

Samples

17.0ms

256×

valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-log: 6.0ms (59.3% of total)

ival-exp: 3.0ms (29.7% of total)

ival-add: 1.0ms (9.9% of total)

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

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

series127.0ms (5.2%)

Memory

13.3MiB live, 165.1MiB 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
54.0ms	a	@	0	(exp (+ (log a) (log b)))
38.0ms	b	@	0	(exp (+ (log a) (log b)))
14.0ms	a	@	-inf	(exp (+ (log a) (log b)))
7.0ms	a	@	inf	(exp (+ (log a) (log b)))
7.0ms	b	@	inf	(exp (+ (log a) (log b)))

rewrite433.0ms (17.8%)

Memory

-25.8MiB live, 489.4MiB 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 (neg.f64 (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)) (neg.f64 (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 (neg.f64 (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)) (neg.f64 (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))))
(+.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 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)))) (pow.f64 (log.f64 a) #s(literal 3 binary64))))
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(*.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) (neg.f64 (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)) (neg.f64 (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) (neg.f64 (log.f64 b)))
(neg.f64 (neg.f64 (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) (neg.f64 (log.f64 b)))
(*.f64 (pow.f64 (log.f64 b) #s(literal 1/2 binary64)) (pow.f64 (log.f64 b) #s(literal 1/2 binary64)))

simplify381.0ms (15.6%)

Memory

19.2MiB live, 411.3MiB 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)))
(*.f64 a b)
(exp (+ (log a) (log b)))
(*.f64 a b)
(exp (+ (log a) (log b)))
(*.f64 a b)
(exp (+ (log a) (log b)))
(*.f64 a b)
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(*.f64 a b)
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(*.f64 a b)
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(*.f64 a b)
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(*.f64 a b)
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(*.f64 a b)
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(*.f64 a b)
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(*.f64 a b)
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(*.f64 a b)
(exp (+ (log a) (log b)))
(*.f64 a b)
(exp (+ (log a) (log b)))
(*.f64 a b)
(exp (+ (log a) (log b)))
(*.f64 a b)
(exp (+ (log a) (log b)))
(*.f64 a b)
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(*.f64 a b)
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(*.f64 a b)
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(*.f64 a b)
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(*.f64 a b)
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(*.f64 a b)
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(*.f64 a b)
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(*.f64 a b)
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(*.f64 a 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 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)

eval60.0ms (2.5%)

Memory: 12.1MiB live, 85.8MiB allocated
Compiler: Compiled 7 759 to 794 computations (89.8% saved)

prune54.0ms (2.2%)

Memory

-9.3MiB live, 87.5MiB 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

7.8MiB live, 7.8MiB 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

localize12.0ms (0.5%)

Memory

-12.7MiB live, 25.4MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 b a)

Samples

9.0ms

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 (99.7% of total)

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

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

series2.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB 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	b	@	0	(* b a)
0.0ms	a	@	0	(* b a)
0.0ms	a	@	inf	(* b a)
0.0ms	b	@	inf	(* b a)
0.0ms	b	@	-inf	(* b a)

rewrite23.0ms (1%)

Memory

-22.2MiB live, 15.4MiB 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)

simplify4.0ms (0.2%)

Memory

11.3MiB live, 11.3MiB 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: 6.9MiB live, 6.9MiB allocated
Compiler: Compiled 80 to 4 computations (95% saved)

prune1.0ms (0%)

Memory

3.8MiB live, 3.8MiB 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)

regimes15.0ms (0.6%)

Memory

-9.1MiB live, 31.0MiB allocated

Accuracy

Total -5.1b remaining (-∞%)

Threshold costs -5.1b (-∞%)

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:

6.0ms	(+.f64 (log.f64 a) (log.f64 b))
2.0ms	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
1.0ms	(log.f64 b)
1.0ms	(log.f64 a)
1.0ms	b

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

16.3MiB live, 16.3MiB 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)

soundness125.0ms (5.1%)

Memory

11.1MiB live, 85.2MiB 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)

preprocess113.0ms (4.6%)

Memory

-21.6MiB live, 98.9MiB allocated

Remove

(sort a b)

(negabs a)

(negabs b)

Compiler

Compiled 66 to 42 computations (36.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

sample904.0ms (37.2%)

preprocess21.0ms (0.9%)

explain118.0ms (4.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize24.0ms (1%)

series127.0ms (5.2%)

rewrite433.0ms (17.8%)

simplify381.0ms (15.6%)

eval60.0ms (2.5%)

prune54.0ms (2.2%)

simplify3.0ms (0.1%)

localize12.0ms (0.5%)

series2.0ms (0.1%)

rewrite23.0ms (1%)

simplify4.0ms (0.2%)

eval2.0ms (0.1%)

prune1.0ms (0%)

regimes15.0ms (0.6%)

simplify6.0ms (0.3%)

soundness125.0ms (5.1%)

preprocess113.0ms (4.6%)

end0.0ms (0%)

Profiling