Metrics for symmetry log of sum of exp

analyze193.0ms (2.3%)

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%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
50%	50%	50%	0.1%	0%	0%	0%	5
50%	50%	50%	0.1%	0%	0%	0%	6
50%	50%	50%	0.1%	0%	0%	0%	7
50%	50%	50%	0.1%	0%	0%	0%	8
50%	50%	50%	0.1%	0%	0%	0%	9
50%	50%	50%	0.1%	0%	0%	0%	10
50%	50%	50%	0.1%	0%	0%	0%	11
50%	50%	50%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-add: 32.0ms (36.8% of total)

ival-exp: 31.0ms (35.7% of total)

ival-log: 22.0ms (25.3% of total)

const: 1.0ms (1.2% of total)

backward-pass: 1.0ms (1.2% of total)

sample7.3s (88%)

Results

4.2s	7714×	5	exit
1.1s	2149×	1	valid
843.0ms	1706×	2	valid
286.0ms	4401×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 4.9s

backward-pass: 2.5s (51.7% of total)

ival-exp: 1.2s (24.6% of total)

ival-log: 947.0ms (19.5% of total)

ival-add: 188.0ms (3.9% of total)

const: 18.0ms (0.4% of total)

Bogosity

preprocess44.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

20×	`fma-define`
12×	`sub-neg`
11×	`+-commutative`
8×	`exp-diff`
8×	`exp-sum`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	199
1	39	199
2	56	199
3	65	199
4	87	199
5	106	199
6	121	199
7	133	199
8	140	199

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(sort a b)

explain133.0ms (1.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
113	-	-	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
0	-	-	`(exp.f64 a)`
0	-	-	`(exp.f64 b)`
0	-	-	`b`
0	-	-	`a`
0	-	-	`(+.f64 (exp.f64 a) (exp.f64 b))`

Results

44.0ms	82×	2	valid
37.0ms	138×	1	valid
24.0ms	292×	0	valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-log: 33.0ms (44.3% of total)

ival-exp: 24.0ms (32.2% of total)

backward-pass: 11.0ms (14.8% of total)

ival-add: 6.0ms (8.1% of total)

const: 1.0ms (1.3% of total)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.9%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	70
1	13	70

Stop Event

1×

saturated

Calls

Call 1

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

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

localize59.0ms (0.7%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	accuracy	58.9%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

23.0ms	41×	2	valid
15.0ms	69×	1	valid
12.0ms	146×	0	valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-log: 17.0ms (51.6% of total)

ival-exp: 11.0ms (33.4% of total)

backward-pass: 3.0ms (9.1% of total)

ival-add: 2.0ms (6.1% of total)

const: 0.0ms (0% of total)

series89.0ms (1.1%)

Counts

4 → 24

Calls

Call 1

Inputs
#<alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))>
#<alt (+.f64 (exp.f64 a) (exp.f64 b))>
#<alt (exp.f64 a)>
#<alt (exp.f64 b)>

Outputs
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) (.f64 a (+.f64 (.f64 a (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b (+.f64 (.f64 b (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 b (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 b))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))))))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 a))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) a)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) b)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))))>

Calls

18 calls:

Time	Variable		Point	Expression
30.0ms	a	@	inf	(log (+ (exp a) (exp b)))
23.0ms	a	@	-inf	(log (+ (exp a) (exp b)))
17.0ms	b	@	-inf	(log (+ (exp a) (exp b)))
15.0ms	b	@	inf	(log (+ (exp a) (exp b)))
1.0ms	a	@	0	(log (+ (exp a) (exp b)))

rewrite230.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

571×	`log1p-expm1-u`
571×	`expm1-log1p-u`
469×	`unpow-prod-down`
455×	`prod-diff`
282×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	62
1	126	62
2	1566	62

Stop Event

1×	node limit

Counts

4 → 231

Calls

Call 1

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

Outputs
(+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (log.f64 (+.f64 (exp.f64 (.f64 b #s(literal 3 binary64))) (exp.f64 (.f64 a #s(literal 3 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
(+.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 b #s(literal 3 binary64))) (exp.f64 (.f64 a #s(literal 3 binary64)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))))
(-.f64 (log.f64 (+.f64 (exp.f64 (.f64 b #s(literal 3 binary64))) (exp.f64 (.f64 a #s(literal 3 binary64))))) (log.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(-.f64 (log.f64 (+.f64 (exp.f64 (.f64 b #s(literal 3 binary64))) (exp.f64 (.f64 a #s(literal 3 binary64))))) (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (exp.f64 (+.f64 a b))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (log.f64 (neg.f64 (+.f64 (exp.f64 (.f64 b #s(literal 3 binary64))) (exp.f64 (.f64 a #s(literal 3 binary64)))))) (log.f64 (neg.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log.f64 (-.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64))
(*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 #s(literal 1/3 binary64) (log.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 2 binary64))
(neg.f64 (log.f64 (/.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 b #s(literal 3 binary64))) (exp.f64 (.f64 a #s(literal 3 binary64)))))))
(neg.f64 (log.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) #s(literal 2 binary64)))
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(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 a)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 a)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 a))) (sqrt.f64 (cbrt.f64 a)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) #s(literal 1 binary64)) (sqrt.f64 a))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) (sqrt.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 a)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))
(sqrt.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 a)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 a))))
(cbrt.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (exp.f64 a)))
(+.f64 #s(literal 0 binary64) (exp.f64 b))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 b))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 b)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 b)))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 b)))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 b))) #s(literal 1 binary64))
(*.f64 (exp.f64 b) #s(literal 1 binary64))
(*.f64 (exp.f64 b) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 b))
(*.f64 (cbrt.f64 (exp.f64 b)) (pow.f64 (cbrt.f64 (exp.f64 b)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 b)))
(*.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) b))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 1/3 binary64) b)))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) b)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) b)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (exp.f64 b))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 b))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (exp.f64 b)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 b))) #s(literal 3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (exp.f64 b) (cbrt.f64 (exp.f64 b))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (exp.f64 b))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 b) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (exp.f64 b))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 (log1p.f64 b))) (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 b)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 b)) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 b)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) b)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (*.f64 (cbrt.f64 b) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 b)) (sqrt.f64 b))
(pow.f64 (exp.f64 (sqrt.f64 b)) (*.f64 (sqrt.f64 b) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) b)
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (sqrt.f64 b)) (sqrt.f64 b))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 b))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 b)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 b))) (cbrt.f64 (sqrt.f64 b)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 b)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 b)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 b))) (sqrt.f64 (cbrt.f64 b)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 b)) #s(literal 1 binary64)) (sqrt.f64 b))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 b)) (cbrt.f64 b)) (cbrt.f64 (sqrt.f64 b)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 b)) (sqrt.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 b)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 b)) (sqrt.f64 (sqrt.f64 b))) (sqrt.f64 (sqrt.f64 b)))
(sqrt.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 b))))
(cbrt.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (exp.f64 b)))
(log1p.f64 (expm1.f64 (exp.f64 b)))

simplify129.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

612×	`distribute-lft-in`
570×	`distribute-rgt-in`
466×	`times-frac`
269×	`associate-+r+`
262×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	608	9593
1	1079	8909
2	2835	8881

Stop Event

1×	node limit

Counts

255 → 352

Calls

Call 1

Inputs
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) (.f64 a (+.f64 (.f64 a (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b (+.f64 (.f64 b (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 b (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b)))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))))))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) a)
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) b)
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))))
(+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (log.f64 (+.f64 (exp.f64 (.f64 b #s(literal 3 binary64))) (exp.f64 (.f64 a #s(literal 3 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
(+.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 b #s(literal 3 binary64))) (exp.f64 (.f64 a #s(literal 3 binary64)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))))
(-.f64 (log.f64 (+.f64 (exp.f64 (.f64 b #s(literal 3 binary64))) (exp.f64 (.f64 a #s(literal 3 binary64))))) (log.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(-.f64 (log.f64 (+.f64 (exp.f64 (.f64 b #s(literal 3 binary64))) (exp.f64 (.f64 a #s(literal 3 binary64))))) (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (exp.f64 (+.f64 a b))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (log.f64 (neg.f64 (+.f64 (exp.f64 (.f64 b #s(literal 3 binary64))) (exp.f64 (.f64 a #s(literal 3 binary64)))))) (log.f64 (neg.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log.f64 (-.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64))
(*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 #s(literal 1/3 binary64) (log.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 2 binary64))
(neg.f64 (log.f64 (/.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 b #s(literal 3 binary64))) (exp.f64 (.f64 a #s(literal 3 binary64)))))))
(neg.f64 (log.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 a))) (sqrt.f64 (cbrt.f64 a)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) #s(literal 1 binary64)) (sqrt.f64 a))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) (sqrt.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 a)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))
(sqrt.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 a)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 a))))
(cbrt.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (exp.f64 a)))
(+.f64 #s(literal 0 binary64) (exp.f64 b))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 b))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 b)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 b)))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 b)))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 b))) #s(literal 1 binary64))
(*.f64 (exp.f64 b) #s(literal 1 binary64))
(*.f64 (exp.f64 b) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 b))
(*.f64 (cbrt.f64 (exp.f64 b)) (pow.f64 (cbrt.f64 (exp.f64 b)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 b)))
(*.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) b))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 1/3 binary64) b)))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) b)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) b)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (exp.f64 b))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 b))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (exp.f64 b)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 b))) #s(literal 3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (exp.f64 b) (cbrt.f64 (exp.f64 b))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (exp.f64 b))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 b) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (exp.f64 b))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 (log1p.f64 b))) (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 b)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 b)) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 b)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) b)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (*.f64 (cbrt.f64 b) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 b)) (sqrt.f64 b))
(pow.f64 (exp.f64 (sqrt.f64 b)) (*.f64 (sqrt.f64 b) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) b)
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (sqrt.f64 b)) (sqrt.f64 b))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 b))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 b)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 b))) (cbrt.f64 (sqrt.f64 b)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 b)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 b)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 b))) (sqrt.f64 (cbrt.f64 b)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 b)) #s(literal 1 binary64)) (sqrt.f64 b))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 b)) (cbrt.f64 b)) (cbrt.f64 (sqrt.f64 b)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 b)) (sqrt.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 b)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 b)) (sqrt.f64 (sqrt.f64 b))) (sqrt.f64 (sqrt.f64 b)))
(sqrt.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 b))))
(cbrt.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (exp.f64 b)))
(log1p.f64 (expm1.f64 (exp.f64 b)))

Outputs
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(+.f64 (log1p.f64 (exp.f64 b)) (.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (log1p.f64 (exp.f64 b)))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) (.f64 a (+.f64 (.f64 a (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(+.f64 (log1p.f64 (exp.f64 b)) (.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(fma.f64 a (fma.f64 a (fma.f64 (.f64 a #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (log1p.f64 (exp.f64 b)))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (.f64 a #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (fma.f64 #s(literal 1/2 binary64) (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b (+.f64 (.f64 b (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 b (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(fma.f64 b (fma.f64 b (fma.f64 (.f64 b #s(literal 1/6 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (.f64 b (.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b)))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) a))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b)))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) a)
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a))))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) b)
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
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(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 a)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 a)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 a)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 a))) (sqrt.f64 (cbrt.f64 a)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) #s(literal 1 binary64)) (sqrt.f64 a))
(pow.f64 (exp.f64 (sqrt.f64 a)) (sqrt.f64 a))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) (sqrt.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 a)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) (fabs.f64 (cbrt.f64 a))) (sqrt.f64 (cbrt.f64 a)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))
(sqrt.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)))
(exp.f64 a)
(log.f64 (exp.f64 (exp.f64 a)))
(exp.f64 a)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 a))))
(exp.f64 a)
(cbrt.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))))
(exp.f64 a)
(expm1.f64 (log1p.f64 (exp.f64 a)))
(exp.f64 a)
(log1p.f64 (expm1.f64 (exp.f64 a)))
(exp.f64 a)
(+.f64 #s(literal 0 binary64) (exp.f64 b))
(exp.f64 b)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 b))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 b)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 b)))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 b)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 b)))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 b))) #s(literal 1 binary64))
(exp.f64 b)
(*.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 b)
(*.f64 (exp.f64 b) (log.f64 (exp.f64 #s(literal 1 binary64))))
(exp.f64 b)
(*.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 b)
(*.f64 (cbrt.f64 (exp.f64 b)) (pow.f64 (cbrt.f64 (exp.f64 b)) #s(literal 2 binary64)))
(exp.f64 b)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 b)))
(exp.f64 b)
(*.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)))
(exp.f64 b)
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) b))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 1/3 binary64) b)))
(.f64 (pow.f64 (E.f64) (.f64 #s(literal 2/3 binary64) b)) (pow.f64 (E.f64) (*.f64 b #s(literal 1/3 binary64))))
(.f64 (pow.f64 (E.f64) (.f64 b #s(literal 2/3 binary64))) (pow.f64 (E.f64) (*.f64 b #s(literal 1/3 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) b)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) b)))
(exp.f64 b)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (exp.f64 b))
(exp.f64 b)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 b))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (exp.f64 b)))
(exp.f64 b)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 b))) #s(literal 3 binary64)))
(exp.f64 b)
(.f64 (pow.f64 (pow.f64 (.f64 (exp.f64 b) (cbrt.f64 (exp.f64 b))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (exp.f64 b))))
(.f64 (cbrt.f64 (cbrt.f64 (exp.f64 b))) (cbrt.f64 (pow.f64 (.f64 (exp.f64 b) (cbrt.f64 (exp.f64 b))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 b))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 b))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 b) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (exp.f64 b))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 b) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (exp.f64 b))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 (log1p.f64 b))) (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 b))) (E.f64))
(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) b)) (E.f64))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 b)
(pow.f64 (cbrt.f64 (exp.f64 b)) #s(literal 3 binary64))
(exp.f64 b)
(pow.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(exp.f64 b)
(pow.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) #s(literal 1/3 binary64))
(exp.f64 b)
(pow.f64 (sqrt.f64 (exp.f64 b)) #s(literal 2 binary64))
(exp.f64 b)
(pow.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 b)) #s(literal 1 binary64))
(exp.f64 b)
(pow.f64 (exp.f64 #s(literal 1 binary64)) b)
(exp.f64 b)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (*.f64 (cbrt.f64 b) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b))
(pow.f64 (exp.f64 (sqrt.f64 b)) (sqrt.f64 b))
(pow.f64 (exp.f64 (sqrt.f64 b)) (*.f64 (sqrt.f64 b) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 b)) (sqrt.f64 b))
(pow.f64 (exp.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) b)
(exp.f64 b)
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (sqrt.f64 b)) (sqrt.f64 b))
(pow.f64 (exp.f64 (sqrt.f64 b)) (sqrt.f64 b))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 b))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 b)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 b))) (cbrt.f64 (sqrt.f64 b)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 b)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 b)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 b))) (sqrt.f64 (cbrt.f64 b)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 b)) #s(literal 1 binary64)) (sqrt.f64 b))
(pow.f64 (exp.f64 (sqrt.f64 b)) (sqrt.f64 b))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 b)) (cbrt.f64 b)) (cbrt.f64 (sqrt.f64 b)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 b)) (sqrt.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 b)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 b)) (fabs.f64 (cbrt.f64 b))) (sqrt.f64 (cbrt.f64 b)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 b)) (sqrt.f64 (sqrt.f64 b))) (sqrt.f64 (sqrt.f64 b)))
(sqrt.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)))
(exp.f64 b)
(log.f64 (exp.f64 (exp.f64 b)))
(exp.f64 b)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 b))))
(exp.f64 b)
(cbrt.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))))
(exp.f64 b)
(expm1.f64 (log1p.f64 (exp.f64 b)))
(exp.f64 b)
(log1p.f64 (expm1.f64 (exp.f64 b)))
(exp.f64 b)

eval48.0ms (0.6%)

Compiler: Compiled 5691 to 1302 computations (77.1% saved)

prune48.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	345	7	352
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	345	8	353

Accuracy

100.0%

Counts

353 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
▶	55.8%	(log1p.f64 (exp.f64 b))
▶	56.8%	(log1p.f64 (exp.f64 a))
	58.9%	(log.f64 (+.f64 (/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) a)) (E.f64)) (exp.f64 b)))
	55.9%	(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64))))))
▶	57.8%	(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
▶	57.6%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	58.9%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 156 to 116 computations (25.6% saved)

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
✓	cost-diff	0	(*.f64 b #s(literal 1/2 binary64))
	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) b)
	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))
✓	cost-diff	128	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
	cost-diff	0	(exp.f64 b)
✓	cost-diff	0	(log1p.f64 (exp.f64 b))
	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(log1p.f64 (exp.f64 a))
✓	cost-diff	0	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(log1p.f64 (exp.f64 a))
✓	cost-diff	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))

Rules

97×	`fma-define`
24×	`associate-+r+`
24×	`associate-+l+`
16×	`+-commutative`
8×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	406
1	51	380
2	89	370
3	162	370
4	245	370
5	262	370
6	265	370

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
b
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(literal 1 binary64)
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
(log1p.f64 (exp.f64 b))
(exp.f64 b)
b
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))
(exp.f64 a)
a
(+.f64 #s(literal 1 binary64) b)
#s(literal 1 binary64)
b
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(literal 1 binary64)
(exp.f64 a)
a
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
b
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))
(*.f64 b #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
b
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
#s(literal 1 binary64)
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
(log1p.f64 (exp.f64 b))
(exp.f64 b)
b
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 b #s(literal 1 binary64))))
(log1p.f64 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))
(+.f64 (exp.f64 a) (+.f64 b #s(literal 1 binary64)))
(exp.f64 a)
a
(+.f64 #s(literal 1 binary64) b)
(+.f64 b #s(literal 1 binary64))
#s(literal 1 binary64)
b
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 a)
a
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
(*.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))
b
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 b #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

localize3.0ms (0%)

Results

1.0ms	1×	5	exit
1.0ms	3×	0	valid

Compiler

Compiled 114 to 20 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

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

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

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

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

backward-pass: 0.0ms (0% of total)

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

const: 0.0ms (0% of total)

compiled-spec: 0.0ms (0% of total)

end0.0ms (0%)

Precisions: Click to see histograms. Total time spent on operations: 0.0ms
backward-pass: 0.0ms (0% of total)
compiled-spec: 0.0ms (0% of total)

analyze193.0ms (2.3%)

sample7.3s (88%)

preprocess44.0ms (0.5%)

explain133.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize59.0ms (0.7%)

series89.0ms (1.1%)

rewrite230.0ms (2.8%)

simplify129.0ms (1.5%)

eval48.0ms (0.6%)

prune48.0ms (0.6%)

simplify20.0ms (0.2%)

localize3.0ms (0%)

end0.0ms (0%)

Profiling