Metrics for symmetry log of sum of exp

analyze183.0ms (1.6%)

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: 70.0ms

ival-exp: 29.0ms (41.5% of total)

ival-log: 23.0ms (32.9% of total)

ival-add: 15.0ms (21.4% of total)

const: 1.0ms (1.4% of total)

backward-pass: 1.0ms (1.4% of total)

sample4.9s (41.7%)

Results

2.1s	7886×	5	exit
1.2s	1792×	2	valid
513.0ms	2072×	1	valid
285.0ms	4392×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.8s

ival-log: 1.1s (39.6% of total)

ival-exp: 911.0ms (33.1% of total)

backward-pass: 523.0ms (19% of total)

ival-add: 212.0ms (7.7% of total)

const: 16.0ms (0.6% of total)

Bogosity

preprocess17.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

40×	`fma-define`
32×	`sum3-define`
24×	`sub-neg`
22×	`+-commutative`
16×	`exp-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	42
1	33	42
2	49	42
3	58	42
4	87	42
5	106	42
6	125	42
7	149	42
8	156	42
0	6	6
1	7	6
0	7	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(sort a b)

explain131.0ms (1.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
115	-	-	`(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

56.0ms	108×	2	valid
26.0ms	110×	1	valid
20.0ms	294×	0	valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-log: 36.0ms (51% of total)

ival-exp: 24.0ms (34% of total)

backward-pass: 5.0ms (7.1% of total)

ival-add: 5.0ms (7.1% of total)

const: 1.0ms (1.4% of total)

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.8%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify3.0ms (0%)

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

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	7	17
0	7	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize74.0ms (0.6%)

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	58.8%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

29.0ms	54×	2	valid
13.0ms	55×	1	valid
10.0ms	147×	0	valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-log: 20.0ms (54.1% of total)

ival-exp: 12.0ms (32.5% of total)

backward-pass: 3.0ms (8.1% of total)

ival-add: 3.0ms (8.1% of total)

const: 0.0ms (0% of total)

series87.0ms (0.7%)

Counts

4 → 72

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
28.0ms	a	@	inf	(log (+ (exp a) (exp b)))
24.0ms	a	@	-inf	(log (+ (exp a) (exp b)))
19.0ms	b	@	-inf	(log (+ (exp a) (exp b)))
14.0ms	b	@	inf	(log (+ (exp a) (exp b)))
1.0ms	a	@	0	(log (+ (exp a) (exp b)))

rewrite333.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2558×	`/-lowering-/.f32`
2558×	`/-lowering-/.f64`
2380×	`-lowering-.f32`
2380×	`-lowering-.f64`
2228×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	20	15
2	160	15
3	1606	15
0	8928	15

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 197

Calls

Call 1

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

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

simplify263.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

5828×	`+-lowering-+.f64`
5828×	`+-lowering-+.f32`
4444×	`-lowering-.f32`
4444×	`-lowering-.f64`
1764×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	528
1	290	500
2	963	500
3	3322	498
0	8680	498

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)

Outputs
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+.f64 (log1p.f64 (exp.f64 b)) (.f64 a (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (.f64 #s(literal -1/2 binary64) (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(+.f64 (log1p.f64 (exp.f64 b)) (.f64 a (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (.f64 a (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (.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))))))))))))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (.f64 b (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (.f64 b (+.f64 (/.f64 #s(literal -1/2 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 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))))))))))))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) a))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 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)))))))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (+ b (exp a)))
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 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)))))))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 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)))))))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 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)))))))
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)

eval29.0ms (0.2%)

Compiler: Compiled 8055 to 857 computations (89.4% saved)

prune43.0ms (0.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	259	10	269
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	259	11	270

Accuracy

99.4%

Counts

270 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
	58.7%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
	54.2%	(log1p.f64 (exp.f64 b))
▶	55.5%	(log1p.f64 (exp.f64 a))
	53.3%	(log.f64 (+.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))))))))
▶	57.9%	(log.f64 (+.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))))))))
	57.8%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
▶	57.5%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	58.8%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	55.5%	(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶	54.1%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))

Compiler

Compiled 226 to 172 computations (23.9% saved)

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

1050×	`fma-define`
916×	`fma-lowering-fma.f32`
916×	`fma-lowering-fma.f64`
844×	`sum3-define`
782×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	143
1	55	130
2	149	128
3	356	128
4	809	128
5	1520	128
6	2057	128
7	2070	128
0	2070	128

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(log (+ 1 (exp a)))
(exp a)
a
(/ b (+ 1 (exp a)))
b
(+ 1 (exp a))
1
(log (+ 1 (exp a)))
(exp a)
a
(log (+ 1 (exp b)))
(+ 1 (exp b))
1
(exp b)
b
(log (+ (exp a) (+ 1 b)))
(+ (exp a) (+ 1 b))
(exp a)
a
(+ 1 b)
1
b
(log (+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
(+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))
(+ 1 (exp a))
1
(exp a)
a
(* b (+ 1 (* b (+ 1/2 (* b 1/6)))))
b
(+ 1 (* b (+ 1/2 (* b 1/6))))
(* b (+ 1/2 (* b 1/6)))
(+ 1/2 (* b 1/6))
1/2
(* b 1/6)
1/6

Outputs
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(exp a)
(exp.f64 a)
a
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
b
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
1
#s(literal 1 binary64)
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(exp a)
(exp.f64 a)
a
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
1
#s(literal 1 binary64)
(exp b)
(exp.f64 b)
b
(log (+ (exp a) (+ 1 b)))
(log1p.f64 (+.f64 (exp.f64 a) b))
(+ (exp a) (+ 1 b))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) b))
(exp a)
(exp.f64 a)
a
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
1
#s(literal 1 binary64)
b
(log (+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
(log1p.f64 (+.f64 (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))))))))
(+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))
(+.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)))))))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
1
#s(literal 1 binary64)
(exp a)
(exp.f64 a)
a
(* b (+ 1 (* b (+ 1/2 (* b 1/6)))))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
b
(+ 1 (* b (+ 1/2 (* b 1/6))))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))
(* b (+ 1/2 (* b 1/6)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))
(+ 1/2 (* b 1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* b 1/6)
(*.f64 b #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)

localize274.0ms (2.3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))
✓	accuracy	100.0%	(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
✓	accuracy	99.5%	(*.f64 b #s(literal 1/6 binary64))
✓	accuracy	60.3%	(log.f64 (+.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))))))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) b)
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))
✓	accuracy	60.3%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	accuracy	98.8%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))
✓	accuracy	100.0%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))

Results

148.0ms	114×	2	valid
46.0ms	140×	0	valid
23.0ms	1×	5	exit
0.0ms	1×	0	invalid

Compiler

Compiled 150 to 24 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 200.0ms

ival-log: 82.0ms (40.9% of total)

compiled-spec: 49.0ms (24.5% of total)

ival-add: 23.0ms (11.5% of total)

backward-pass: 15.0ms (7.5% of total)

...c/correct-round.rkt:119:19: 10.0ms (5% of total)

ival-mult: 10.0ms (5% of total)

ival-exp: 7.0ms (3.5% of total)

ival-div: 4.0ms (2% of total)

const: 1.0ms (0.5% of total)

series248.0ms (2.1%)

Counts

16 → 264

Calls

Call 1

Inputs
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (log (+ 1 (exp a)))>
#<alt (exp a)>
#<alt (/ b (+ 1 (exp a)))>
#<alt (log (+ 1 (exp b)))>
#<alt (+ 1 (exp b))>
#<alt (exp b)>
#<alt (log (+ (exp a) (+ 1 b)))>
#<alt (+ (exp a) (+ 1 b))>
#<alt (+ 1 b)>
#<alt (log (+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))>
#<alt (+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))>
#<alt (+ 1 (exp a))>
#<alt (* b 1/6)>
#<alt (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))>
#<alt (* b (+ 1/2 (* b 1/6)))>

Outputs
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))>
#<alt (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))>
#<alt (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))>
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))>
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))>
#<alt (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))>
#<alt (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (+ (log 2) (* a (+ 1/2 (* 1/8 a))))>
#<alt (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (* 1/2 b)>
#<alt (+ (* -1/4 (* a b)) (* 1/2 b))>
#<alt (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))>
#<alt (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (* b (+ 1/2 (* 1/8 b))))>
#<alt (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (log (+ 2 b))>
#<alt (+ (log (+ 2 b)) (/ a (+ 2 b)))>
#<alt (+ (log (+ 2 b)) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2))))) (/ 1 (+ 2 b)))))>
#<alt (+ (log (+ 2 b)) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 b) 3))) (/ 1 (+ 2 b))) (* 3 (/ 1 (pow (+ 2 b) 2)))))) (* 1/2 (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2)))))) (/ 1 (+ 2 b)))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/3 (/ b (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<alt (* -1 (log (/ 1 b)))>
#<alt (+ (* -1 (log (/ 1 b))) (+ (/ 1 b) (/ (exp a) b)))>
#<alt (+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (/ 1 b) (/ (exp a) b))))>
#<alt (+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (* 1/3 (/ (pow (+ 1 (exp a)) 3) (pow b 3))) (+ (/ 1 b) (/ (exp a) b)))))>
#<alt (+ (log -1) (* -1 (log (/ -1 b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (+ (/ 1 b) (/ (exp a) b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* 1/2 (/ (pow (+ 1 (exp a)) 2) b))) b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* -1 (/ (+ (* -1/2 (pow (+ 1 (exp a)) 2)) (* 1/3 (/ (pow (+ 1 (exp a)) 3) b))) b))) b))))>
#<alt (+ 2 b)>
#<alt (+ 2 (+ a b))>
#<alt (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt b>
#<alt (* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))>
#<alt (* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))>
#<alt (* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 b)>
#<alt (+ 1 b)>
#<alt b>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt b>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ a (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (+ (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))))>
#<alt (+ (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (* 3 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))))) (* 1/2 (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (log 1/6) (* -3 (log (/ 1 b))))>
#<alt (+ (log 1/6) (+ (* -3 (log (/ 1 b))) (* 3 (/ 1 b))))>
#<alt (+ (log 1/6) (+ (* -3 (log (/ 1 b))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2)))))>
#<alt (+ (log 1/6) (+ (* -3 (log (/ 1 b))) (+ (* 1/6 (/ (- (* 36 (+ 1 (exp a))) 54) (pow b 3))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2))))))>
#<alt (+ (log -1/6) (* -3 (log (/ -1 b))))>
#<alt (+ (log -1/6) (+ (* -3 (log (/ -1 b))) (* 3 (/ 1 b))))>
#<alt (+ (log -1/6) (+ (* -3 (log (/ -1 b))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2)))))>
#<alt (+ (log -1/6) (+ (* -3 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (+ 3/2 (* -1/6 (/ (+ 54 (* -36 (+ 1 (exp a)))) b))) b)) 3) b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (+ (/ 1 (pow b 3)) (/ (exp a) (pow b 3)))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))) b)) 1/6)))>
#<alt 2>
#<alt (+ 2 a)>
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt b>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))>
#<alt (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>

Calls

66 calls:

Time	Variable		Point	Expression
83.0ms	a	@	inf	(log (+ (exp a) (+ 1 b)))
33.0ms	a	@	inf	(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
31.0ms	a	@	inf	(log (+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
21.0ms	b	@	inf	(log (+ 1 (exp b)))
19.0ms	a	@	-inf	(log (+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))

rewrite355.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

3250×	`-lowering-.f32`
3250×	`-lowering-.f64`
3170×	`/-lowering-/.f32`
3170×	`/-lowering-/.f64`
2320×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	102
1	152	92
2	1594	90
0	8538	90

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 448

Calls

Call 1

Inputs
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(log (+ 1 (exp a)))
(exp a)
(/ b (+ 1 (exp a)))
(log (+ 1 (exp b)))
(+ 1 (exp b))
(exp b)
(log (+ (exp a) (+ 1 b)))
(+ (exp a) (+ 1 b))
(+ 1 b)
(log (+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
(+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))
(+ 1 (exp a))
(* b 1/6)
(* b (+ 1 (* b (+ 1/2 (* b 1/6)))))
(* b (+ 1/2 (* b 1/6)))

Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(-.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(fma.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (exp.f64 a)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 a) (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) (*.f64 (-.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 #s(literal 1 binary64) (exp.f64 a))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 a) (expm1.f64 a))))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64)))))))
(-.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log1p.f64 (.f64 (exp.f64 a) (expm1.f64 a))))
(-.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64))))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 a) (expm1.f64 a))))))
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(fma.f64 b (.f64 b #s(literal 1/6 binary64)) (.f64 b #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (.f64 #s(literal 1/6 binary64) (.f64 b b)))
(fma.f64 #s(literal 1/6 binary64) (.f64 b b) (.f64 b #s(literal 1/2 binary64)))
(fma.f64 (.f64 b #s(literal 1/6 binary64)) b (.f64 b #s(literal 1/2 binary64)))
(fma.f64 (.f64 b b) #s(literal 1/6 binary64) (.f64 b #s(literal 1/2 binary64)))
(fma.f64 (.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 b b)) #s(literal 1 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64)) (.f64 b (.f64 b b)))) (+.f64 (.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 b #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 b b)) (.f64 #s(literal 1/6 binary64) (.f64 b b))) (.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (*.f64 b b))))))
(/.f64 (-.f64 (.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 b #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 b b)) (.f64 #s(literal 1/6 binary64) (.f64 b b)))) (-.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (*.f64 b b))))
(/.f64 (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 b #s(literal 1/6 binary64)) (-.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 b (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) b)))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64))) b) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 b #s(literal 1/6 binary64)) (-.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) #s(literal 1/36 binary64))) b) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) b)))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64)) (.f64 b (.f64 b b))))) (neg.f64 (+.f64 (.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 b #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 b b)) (.f64 #s(literal 1/6 binary64) (.f64 b b))) (.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 b #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 b b)) (.f64 #s(literal 1/6 binary64) (.f64 b b))))) (neg.f64 (-.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))
(/.f64 (neg.f64 (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 b #s(literal 1/6 binary64)) (-.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (.f64 b (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) #s(literal 1/36 binary64))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) b))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64))) b)) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 b #s(literal 1/6 binary64)) (-.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) #s(literal 1/36 binary64))) b)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) b))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64)) (.f64 b (.f64 b b))) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b)))) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 b b)) (.f64 #s(literal 1/6 binary64) (.f64 b b))) (-.f64 (.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 b #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 b b)) (*.f64 b #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 b b))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 b b))) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 b b)))) (.f64 (.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 b b)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 b b)) #s(literal 1 binary64))) (.f64 (.f64 (.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64))))))
(.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))) b)
(.f64 (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) b)

simplify270.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

4112×	`-lowering-.f32`
4112×	`-lowering-.f64`
4086×	`+-lowering-+.f64`
4086×	`+-lowering-+.f32`
1450×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	359	2487
1	1115	2243
2	4031	2220
0	8765	2220

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(+ (log 2) (* 1/2 b))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(/ b (+ 1 (exp a)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(* 1/2 b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(log 2)
(+ (log 2) (* 1/2 b))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(log (+ 2 b))
(+ (log (+ 2 b)) (/ a (+ 2 b)))
(+ (log (+ 2 b)) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2))))) (/ 1 (+ 2 b)))))
(+ (log (+ 2 b)) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 b) 3))) (/ 1 (+ 2 b))) (* 3 (/ 1 (pow (+ 2 b) 2)))))) (* 1/2 (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2)))))) (/ 1 (+ 2 b)))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/3 (/ b (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(* -1 (log (/ 1 b)))
(+ (* -1 (log (/ 1 b))) (+ (/ 1 b) (/ (exp a) b)))
(+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (/ 1 b) (/ (exp a) b))))
(+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (* 1/3 (/ (pow (+ 1 (exp a)) 3) (pow b 3))) (+ (/ 1 b) (/ (exp a) b)))))
(+ (log -1) (* -1 (log (/ -1 b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (+ (/ 1 b) (/ (exp a) b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* 1/2 (/ (pow (+ 1 (exp a)) 2) b))) b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* -1 (/ (+ (* -1/2 (pow (+ 1 (exp a)) 2)) (* 1/3 (/ (pow (+ 1 (exp a)) 3) b))) b))) b))))
(+ 2 b)
(+ 2 (+ a b))
(+ 2 (+ b (* a (+ 1 (* 1/2 a)))))
(+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
b
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
b
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
1
(+ 1 b)
(+ 1 b)
(+ 1 b)
b
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 b)))
b
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 b)))
(log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ a (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(+ (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))))
(+ (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (* 3 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))))) (* 1/2 (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(+ (log 1/6) (* -3 (log (/ 1 b))))
(+ (log 1/6) (+ (* -3 (log (/ 1 b))) (* 3 (/ 1 b))))
(+ (log 1/6) (+ (* -3 (log (/ 1 b))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2)))))
(+ (log 1/6) (+ (* -3 (log (/ 1 b))) (+ (* 1/6 (/ (- (* 36 (+ 1 (exp a))) 54) (pow b 3))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2))))))
(+ (log -1/6) (* -3 (log (/ -1 b))))
(+ (log -1/6) (+ (* -3 (log (/ -1 b))) (* 3 (/ 1 b))))
(+ (log -1/6) (+ (* -3 (log (/ -1 b))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2)))))
(+ (log -1/6) (+ (* -3 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (+ 3/2 (* -1/6 (/ (+ 54 (* -36 (+ 1 (exp a)))) b))) b)) 3) b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (+ (/ 1 (pow b 3)) (/ (exp a) (pow b 3)))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))) b)) 1/6)))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
b
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* 1/2 b)
(* b (+ 1/2 (* 1/6 b)))
(* b (+ 1/2 (* 1/6 b)))
(* b (+ 1/2 (* 1/6 b)))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))

Outputs
(+ (log 2) (* 1/2 b))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64))))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+.f64 (.f64 #s(literal 1/2 binary64) b) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))) (.f64 b #s(literal -1/4 binary64))))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) b)) (.f64 a (+.f64 (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b a) #s(literal 1/48 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/4 binary64))))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
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(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
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(log (+ 1 (exp a)))
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(log (+ 1 (exp a)))
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1
#s(literal 1 binary64)
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(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
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(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(+ (* -1/4 (* a b)) (* 1/2 b))
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(/ b (+ 1 (exp a)))
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(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
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(/ b (+ 1 (exp a)))
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(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 b))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
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(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
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(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
2
#s(literal 2 binary64)
(+ 2 b)
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(+ 2 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
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(+ 1 (exp b))
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(+ 1 (exp b))
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(+ 1 (exp b))
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(+ 1 (exp b))
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1
#s(literal 1 binary64)
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(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(log (+ 2 b))
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(log (+ 1 (+ b (exp a))))
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(log (+ 1 (+ b (exp a))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log (+ 1 (+ b (exp a))))
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(log (+ 1 (+ b (exp a))))
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(log (+ 1 (+ b (exp a))))
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(log (+ 1 (+ b (exp a))))
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(log (+ 1 (+ b (exp a))))
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(log (+ 1 (+ b (exp a))))
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(log (+ 1 (exp a)))
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(* -1 (log (/ 1 b)))
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(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* 1/2 (/ (pow (+ 1 (exp a)) 2) b))) b))))
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(+ 2 b)
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(+ 2 (+ b (* a (+ 1 (* 1/2 a)))))
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(+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
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(+ 1 (+ b (exp a)))
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(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ b (exp a)))
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(+ 1 (+ b (exp a)))
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(+ 1 (+ b (exp a)))
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(+ 1 (+ b (exp a)))
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(+ 1 (+ b (exp a)))
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(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (+ b (exp a)))
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(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
b
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (exp.f64 a) b) #s(literal 1 binary64)) b))
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (exp.f64 a) b) #s(literal 1 binary64)) b))
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (exp.f64 a) b) #s(literal 1 binary64)) b))
b
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b))))
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b))))
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b))))
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 b #s(literal 1 binary64))
(+ 1 b)
(+.f64 b #s(literal 1 binary64))
(+ 1 b)
(+.f64 b #s(literal 1 binary64))
b
(* b (+ 1 (/ 1 b)))
(+.f64 b #s(literal 1 binary64))
(* b (+ 1 (/ 1 b)))
(+.f64 b #s(literal 1 binary64))
(* b (+ 1 (/ 1 b)))
(+.f64 b #s(literal 1 binary64))
b
(* b (+ 1 (/ 1 b)))
(+.f64 b #s(literal 1 binary64))
(* b (+ 1 (/ 1 b)))
(+.f64 b #s(literal 1 binary64))
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(* b (+ 1/2 (* 1/6 b)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))
(* b (+ 1/2 (* 1/6 b)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))
(* 1/6 (pow b 2))
(.f64 b (.f64 b #s(literal 1/6 binary64)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b))))
(* 1/6 (pow b 2))
(.f64 b (.f64 b #s(literal 1/6 binary64)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b))))

eval116.0ms (1%)

Compiler: Compiled 22999 to 2238 computations (90.3% saved)

prune183.0ms (1.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	823	12	835
Fresh	4	1	5
Picked	4	1	5
Done	1	0	1
Total	832	14	846

Accuracy

99.4%

Counts

846 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.1%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
▶	61.5%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))))
▶	54.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
	53.5%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64))))))))
	53.4%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
	54.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
	53.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
▶	52.1%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
	53.5%	(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))
✓	55.5%	(log1p.f64 (exp.f64 a))
	53.4%	(log1p.f64 #s(literal 1 binary64))
	55.5%	(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
	54.1%	(log.f64 (+.f64 #s(literal 2 binary64) b))
▶	1.3%	(log.f64 b)

Compiler

Compiled 247 to 200 computations (19% saved)

simplify50.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/8 binary64)))
✓	cost-diff	0	(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	cost-diff	0	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	cost-diff	0	(+.f64 a #s(literal 1 binary64))
✓	cost-diff	0	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
✓	cost-diff	0	(log.f64 b)
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(log1p.f64 (exp.f64 a))
✓	cost-diff	12928	(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64)))
✓	cost-diff	12928	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))))

Rules

138×	`fma-define`
120×	`fma-lowering-fma.f32`
120×	`fma-lowering-fma.f64`
116×	`-lowering-.f32`
116×	`-lowering-.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	115
1	48	110
2	85	107
3	107	106
4	122	104
5	129	104
6	166	104
7	194	104
8	201	104
9	209	104
10	218	104
11	235	104
12	253	104
13	280	104
14	294	104
15	302	104
16	313	104
17	325	104
18	342	104
19	363	104
20	371	104
0	371	104

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (log (+ 1 (exp a))) (exp (* (log (/ (+ 1 (exp a)) b)) -1)))
(log (+ 1 (exp a)))
(exp a)
a
(exp (* (log (/ (+ 1 (exp a)) b)) -1))
(* (log (/ (+ 1 (exp a)) b)) -1)
(log (/ (+ 1 (exp a)) b))
(/ (+ 1 (exp a)) b)
(+ 1 (exp a))
1
b
-1
(log b)
b
(log (+ 1 (+ a 1)))
(+ a 1)
a
1
(/ b (+ 1 (exp a)))
b
(+ 1 (exp a))
1
(exp a)
a
(+ (log 2) (* b (+ 1/2 (* b 1/8))))
(log 2)
2
(* b (+ 1/2 (* b 1/8)))
b
(+ 1/2 (* b 1/8))
1/2
(* b 1/8)
1/8

Outputs
(+ (log (+ 1 (exp a))) (exp (* (log (/ (+ 1 (exp a)) b)) -1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(exp a)
(exp.f64 a)
a
(exp (* (log (/ (+ 1 (exp a)) b)) -1))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* (log (/ (+ 1 (exp a)) b)) -1)
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(log (/ (+ 1 (exp a)) b))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(/ (+ 1 (exp a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
1
#s(literal 1 binary64)
b
-1
#s(literal -1 binary64)
(log b)
(log.f64 b)
b
(log (+ 1 (+ a 1)))
(log.f64 (+.f64 a #s(literal 2 binary64)))
(+ a 1)
(+.f64 #s(literal 1 binary64) a)
a
1
#s(literal 1 binary64)
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
b
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
1
#s(literal 1 binary64)
(exp a)
(exp.f64 a)
a
(+ (log 2) (* b (+ 1/2 (* b 1/8))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
(log 2)
(log.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* b (+ 1/2 (* b 1/8)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
b
(+ 1/2 (* b 1/8))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/8 binary64)))
1/2
#s(literal 1/2 binary64)
(* b 1/8)
(*.f64 b #s(literal 1/8 binary64))
1/8
#s(literal 1/8 binary64)

localize103.0ms (0.9%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/8 binary64)))
✓	accuracy	100.0%	(*.f64 b #s(literal 1/8 binary64))
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
✓	accuracy	100.0%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 a #s(literal 1 binary64))
✓	accuracy	100.0%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
✓	accuracy	100.0%	(log.f64 b)
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)
✓	accuracy	96.5%	(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64)))

Results

43.0ms	153×	0	invalid
27.0ms	103×	0	valid

Compiler

Compiled 120 to 25 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-log: 14.0ms (26.3% of total)

compiled-spec: 13.0ms (24.4% of total)

ival-add: 12.0ms (22.5% of total)

ival-mult: 5.0ms (9.4% of total)

ival-div: 4.0ms (7.5% of total)

ival-exp: 4.0ms (7.5% of total)

const: 1.0ms (1.9% of total)

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

series121.0ms (1%)

Counts

16 → 240

Calls

Call 1

Inputs
#<alt (+ (log (+ 1 (exp a))) (exp (* (log (/ (+ 1 (exp a)) b)) -1)))>
#<alt (exp (* (log (/ (+ 1 (exp a)) b)) -1))>
#<alt (log (+ 1 (exp a)))>
#<alt (exp a)>
#<alt (log b)>
#<alt (log (+ 1 (+ a 1)))>
#<alt (+ a 1)>
#<alt (/ b (+ 1 (exp a)))>
#<alt (+ 1 (exp a))>
#<alt (+ (log 2) (* b (+ 1/2 (* b 1/8))))>
#<alt (log 2)>
#<alt (* b (+ 1/2 (* b 1/8)))>
#<alt (+ 1/2 (* b 1/8))>
#<alt (/ (+ 1 (exp a)) b)>
#<alt (log (/ (+ 1 (exp a)) b))>
#<alt (* b 1/8)>

Outputs
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))>
#<alt (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))>
#<alt (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))>
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))>
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))>
#<alt (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))>
#<alt (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))>
#<alt (* 1/2 b)>
#<alt (+ (* -1/4 (* a b)) (* 1/2 b))>
#<alt (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))>
#<alt (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (+ (log 2) (* a (+ 1/2 (* 1/8 a))))>
#<alt (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp 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))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (+ (log 2) (* a (+ 1/2 (* -1/8 a))))>
#<alt (+ (log 2) (* a (+ 1/2 (* a (- (* 1/24 a) 1/8)))))>
#<alt (* -1 (log (/ 1 a)))>
#<alt (+ (* -1 (log (/ 1 a))) (* 2 (/ 1 a)))>
#<alt (- (+ (* -1 (log (/ 1 a))) (* 2 (/ 1 a))) (/ 2 (pow a 2)))>
#<alt (- (+ (* -1 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (* 8/3 (/ 1 (pow a 3))))) (/ 2 (pow a 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 a))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 a))) (* 2 (/ 1 a))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (- (* 2 (/ 1 a)) 2) a))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 a)) 2) a)) 2) a))))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 a)>
#<alt (+ 1 a)>
#<alt a>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt a>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (* 1/2 b)>
#<alt (+ (* -1/4 (* a b)) (* 1/2 b))>
#<alt (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))>
#<alt (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt 2>
#<alt (+ 2 a)>
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (* b (+ 1/2 (* 1/8 b))))>
#<alt (+ (log 2) (* b (+ 1/2 (* 1/8 b))))>
#<alt (* 1/8 (pow b 2))>
#<alt (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))>
#<alt (* 1/8 (pow b 2))>
#<alt (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))>
#<alt (* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (* 1/8 b)))>
#<alt (* b (+ 1/2 (* 1/8 b)))>
#<alt (* b (+ 1/2 (* 1/8 b)))>
#<alt (* 1/8 (pow b 2))>
#<alt (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))>
#<alt (* 1/8 (pow b 2))>
#<alt (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 b))>
#<alt (+ 1/2 (* 1/8 b))>
#<alt (+ 1/2 (* 1/8 b))>
#<alt (* 1/8 b)>
#<alt (* b (+ 1/8 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/8 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/8 (* 1/2 (/ 1 b))))>
#<alt (* 1/8 b)>
#<alt (* b (+ 1/8 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/8 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/8 (* 1/2 (/ 1 b))))>
#<alt (/ 2 b)>
#<alt (+ (* 2 (/ 1 b)) (/ a b))>
#<alt (+ (* a (+ (* 1/2 (/ a b)) (/ 1 b))) (* 2 (/ 1 b)))>
#<alt (+ (* a (+ (* a (+ (* 1/6 (/ a b)) (* 1/2 (/ 1 b)))) (/ 1 b))) (* 2 (/ 1 b)))>
#<alt (/ (+ 1 (exp a)) b)>
#<alt (/ (+ 1 (exp a)) b)>
#<alt (/ (+ 1 (exp a)) b)>
#<alt (/ (+ 1 (exp a)) b)>
#<alt (/ (+ 1 (exp a)) b)>
#<alt (/ (+ 1 (exp a)) b)>
#<alt (/ (+ 1 (exp a)) b)>
#<alt (/ (+ 1 (exp a)) b)>
#<alt (/ (+ 1 (exp a)) b)>
#<alt (/ (+ 1 (exp a)) b)>
#<alt (/ (+ 1 (exp a)) b)>
#<alt (/ (+ 1 (exp a)) b)>
#<alt (/ (+ 1 (exp a)) b)>
#<alt (/ (+ 1 (exp a)) b)>
#<alt (/ (+ 1 (exp a)) b)>
#<alt (/ (+ 1 (exp a)) b)>
#<alt (/ (+ 1 (exp a)) b)>
#<alt (/ (+ 1 (exp a)) b)>
#<alt (/ (+ 1 (exp a)) b)>
#<alt (/ (+ 1 (exp a)) b)>
#<alt (log (/ 2 b))>
#<alt (+ (log (/ 2 b)) (* 1/2 a))>
#<alt (+ (log (/ 2 b)) (* a (+ 1/2 (* 1/8 a))))>
#<alt (+ (log (/ 2 b)) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))>
#<alt (log (/ (+ 1 (exp a)) b))>
#<alt (log (/ (+ 1 (exp a)) b))>
#<alt (log (/ (+ 1 (exp a)) b))>
#<alt (log (/ (+ 1 (exp a)) b))>
#<alt (log (/ (+ 1 (exp a)) b))>
#<alt (log (/ (+ 1 (exp a)) b))>
#<alt (log (/ (+ 1 (exp a)) b))>
#<alt (log (/ (+ 1 (exp a)) b))>
#<alt (+ (log (+ 1 (exp a))) (* -1 (log b)))>
#<alt (+ (log (+ 1 (exp a))) (* -1 (log b)))>
#<alt (+ (log (+ 1 (exp a))) (* -1 (log b)))>
#<alt (+ (log (+ 1 (exp a))) (* -1 (log b)))>
#<alt (+ (log (+ 1 (exp a))) (log (/ 1 b)))>
#<alt (+ (log (+ 1 (exp a))) (log (/ 1 b)))>
#<alt (+ (log (+ 1 (exp a))) (log (/ 1 b)))>
#<alt (+ (log (+ 1 (exp a))) (log (/ 1 b)))>
#<alt (+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b)))>
#<alt (+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b)))>
#<alt (+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b)))>
#<alt (+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b)))>
#<alt (* 1/8 b)>
#<alt (* 1/8 b)>
#<alt (* 1/8 b)>
#<alt (* 1/8 b)>
#<alt (* 1/8 b)>
#<alt (* 1/8 b)>
#<alt (* 1/8 b)>
#<alt (* 1/8 b)>
#<alt (* 1/8 b)>
#<alt (* 1/8 b)>
#<alt (* 1/8 b)>
#<alt (* 1/8 b)>

Calls

60 calls:

Time	Variable		Point	Expression
21.0ms	a	@	-inf	(log (/ (+ 1 (exp a)) b))
18.0ms	a	@	inf	(log (/ (+ 1 (exp a)) b))
15.0ms	b	@	-inf	(log b)
15.0ms	b	@	-inf	(log (/ (+ 1 (exp a)) b))
12.0ms	b	@	0	(log (/ (+ 1 (exp a)) b))

rewrite288.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3236×	`-lowering-.f32`
3236×	`-lowering-.f64`
3190×	`/-lowering-/.f32`
3190×	`/-lowering-/.f64`
2186×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	85
1	129	75
2	1144	75
0	8278	75

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 469

Calls

Call 1

Inputs
(+ (log (+ 1 (exp a))) (exp (* (log (/ (+ 1 (exp a)) b)) -1)))
(exp (* (log (/ (+ 1 (exp a)) b)) -1))
(log (+ 1 (exp a)))
(exp a)
(log b)
(log (+ 1 (+ a 1)))
(+ a 1)
(/ b (+ 1 (exp a)))
(+ 1 (exp a))
(+ (log 2) (* b (+ 1/2 (* b 1/8))))
(log 2)
(* b (+ 1/2 (* b 1/8)))
(+ 1/2 (* b 1/8))
(/ (+ 1 (exp a)) b)
(log (/ (+ 1 (exp a)) b))
(* b 1/8)

Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (neg.f64 (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (+.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 #s(literal -1 binary64) (exp.f64 a))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(fma.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (-.f64 #s(literal 0 binary64) b) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 a) (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))
(neg.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)))) (*.f64 (+.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 #s(literal -1 binary64) (exp.f64 a))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64))))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))) (+.f64 (.f64 (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))) (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))) (.f64 (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))))) (+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(exp.f64 (log.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))
(-.f64 #s(literal 0 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(neg.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(neg.f64 (/.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b))
(/.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal -1 binary64) (exp.f64 a)))
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(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))) b))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 2 binary64)))) (.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (neg.f64 (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))) b)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 2 binary64))))) (neg.f64 (.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 2 binary64))))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b) #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))) b) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64)))) b) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))) b)) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64)))) b)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal 1 binary64))
(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) b))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b))
(*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) (/.f64 #s(literal -1 binary64) b))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 a) (expm1.f64 a))))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 a) (expm1.f64 a))) b)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(*.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(*.f64 (/.f64 #s(literal -1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 2 binary64)))) b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (pow.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a)))))
(.f64 (pow.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 2 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1/2 binary64)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(+.f64 (log1p.f64 (exp.f64 a)) (log.f64 (/.f64 #s(literal 1 binary64) b)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(+.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) b))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) b)) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(-.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log.f64 (-.f64 #s(literal 0 binary64) b)))
(-.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log.f64 (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))))))
(-.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))) b)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 2 binary64))))) (log.f64 (.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 2 binary64))))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) b)) (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 a))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))) b)) (log1p.f64 (.f64 (exp.f64 a) (expm1.f64 a))))
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64)))) b)) (log1p.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))))) (/.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) (/.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))
(neg.f64 (log.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (log.f64 b)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (log.f64 b)))))
(/.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))))))
(/.f64 (neg.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))) (neg.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) b)) (log.f64 (/.f64 #s(literal 1 binary64) b))) (.f64 (log1p.f64 (exp.f64 a)) (log.f64 (/.f64 #s(literal 1 binary64) b))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (log.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (.f64 #s(literal 0 binary64) (log.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) b)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (+.f64 (.f64 (log.f64 (-.f64 #s(literal 0 binary64) b)) (log.f64 (-.f64 #s(literal 0 binary64) b))) (*.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log.f64 (-.f64 #s(literal 0 binary64) b))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) b)) (log.f64 (/.f64 #s(literal 1 binary64) b)))) (-.f64 (log1p.f64 (exp.f64 a)) (log.f64 (/.f64 #s(literal 1 binary64) b))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (log.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (-.f64 (.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (.f64 (log.f64 (-.f64 #s(literal 0 binary64) b)) (log.f64 (-.f64 #s(literal 0 binary64) b)))) (+.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log.f64 (-.f64 #s(literal 0 binary64) b))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))))))
(.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))
(*.f64 b #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) b)

simplify184.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2232×	`fma-lowering-fma.f32`
2232×	`fma-lowering-fma.f64`
2156×	`-lowering-.f32`
2156×	`-lowering-.f64`
1708×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	202	1635
1	626	1525
2	1976	1457
3	7369	1457
0	8091	1457

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(+ (log 2) (* 1/2 b))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(/ b (+ 1 (exp a)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* 1/2 b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp 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))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* -1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (- (* 1/24 a) 1/8)))))
(* -1 (log (/ 1 a)))
(+ (* -1 (log (/ 1 a))) (* 2 (/ 1 a)))
(- (+ (* -1 (log (/ 1 a))) (* 2 (/ 1 a))) (/ 2 (pow a 2)))
(- (+ (* -1 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (* 8/3 (/ 1 (pow a 3))))) (/ 2 (pow a 2)))
(+ (log -1) (* -1 (log (/ -1 a))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* 2 (/ 1 a))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (- (* 2 (/ 1 a)) 2) a))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 a)) 2) a)) 2) a))))
1
(+ 1 a)
(+ 1 a)
(+ 1 a)
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(* 1/2 b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(log 2)
(+ (log 2) (* 1/2 b))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(* 1/8 (pow b 2))
(* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))
(* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))
(* 1/8 (pow b 2))
(* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))
(* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))
(* 1/2 b)
(* b (+ 1/2 (* 1/8 b)))
(* b (+ 1/2 (* 1/8 b)))
(* b (+ 1/2 (* 1/8 b)))
(* 1/8 (pow b 2))
(* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))
(* 1/8 (pow b 2))
(* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))
1/2
(+ 1/2 (* 1/8 b))
(+ 1/2 (* 1/8 b))
(+ 1/2 (* 1/8 b))
(* 1/8 b)
(* b (+ 1/8 (* 1/2 (/ 1 b))))
(* b (+ 1/8 (* 1/2 (/ 1 b))))
(* b (+ 1/8 (* 1/2 (/ 1 b))))
(* 1/8 b)
(* b (+ 1/8 (* 1/2 (/ 1 b))))
(* b (+ 1/8 (* 1/2 (/ 1 b))))
(* b (+ 1/8 (* 1/2 (/ 1 b))))
(/ 2 b)
(+ (* 2 (/ 1 b)) (/ a b))
(+ (* a (+ (* 1/2 (/ a b)) (/ 1 b))) (* 2 (/ 1 b)))
(+ (* a (+ (* a (+ (* 1/6 (/ a b)) (* 1/2 (/ 1 b)))) (/ 1 b))) (* 2 (/ 1 b)))
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(log (/ 2 b))
(+ (log (/ 2 b)) (* 1/2 a))
(+ (log (/ 2 b)) (* a (+ 1/2 (* 1/8 a))))
(+ (log (/ 2 b)) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(log (/ (+ 1 (exp a)) b))
(log (/ (+ 1 (exp a)) b))
(log (/ (+ 1 (exp a)) b))
(log (/ (+ 1 (exp a)) b))
(log (/ (+ 1 (exp a)) b))
(log (/ (+ 1 (exp a)) b))
(log (/ (+ 1 (exp a)) b))
(log (/ (+ 1 (exp a)) b))
(+ (log (+ 1 (exp a))) (* -1 (log b)))
(+ (log (+ 1 (exp a))) (* -1 (log b)))
(+ (log (+ 1 (exp a))) (* -1 (log b)))
(+ (log (+ 1 (exp a))) (* -1 (log b)))
(+ (log (+ 1 (exp a))) (log (/ 1 b)))
(+ (log (+ 1 (exp a))) (log (/ 1 b)))
(+ (log (+ 1 (exp a))) (log (/ 1 b)))
(+ (log (+ 1 (exp a))) (log (/ 1 b)))
(+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b)))
(+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b)))
(+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b)))
(+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b)))
(* 1/8 b)
(* 1/8 b)
(* 1/8 b)
(* 1/8 b)
(* 1/8 b)
(* 1/8 b)
(* 1/8 b)
(* 1/8 b)
(* 1/8 b)
(* 1/8 b)
(* 1/8 b)
(* 1/8 b)

Outputs
(+ (log 2) (* 1/2 b))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64))))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 a (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/4 binary64))) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b a) #s(literal 1/48 binary64))))))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64)))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(+.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 a (+.f64 (.f64 a (.f64 (.f64 b a) #s(literal 1/48 binary64))) (.f64 b #s(literal -1/4 binary64)))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))))))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 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)))))))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.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))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log -1) (* -1 (log (/ -1 b))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log -1) (* -1 (log (/ -1 b))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log -1) (* -1 (log (/ -1 b))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
(+ (log 2) (* a (+ 1/2 (* -1/8 a))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64)))))
(+ (log 2) (* a (+ 1/2 (* a (- (* 1/24 a) 1/8)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal -1/8 binary64) (*.f64 a #s(literal 1/24 binary64)))))))
(* -1 (log (/ 1 a)))
(log.f64 a)
(+ (* -1 (log (/ 1 a))) (* 2 (/ 1 a)))
(+.f64 (log.f64 a) (/.f64 #s(literal 2 binary64) a))
(- (+ (* -1 (log (/ 1 a))) (* 2 (/ 1 a))) (/ 2 (pow a 2)))
(+.f64 (log.f64 a) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) a)) a))
(- (+ (* -1 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (* 8/3 (/ 1 (pow a 3))))) (/ 2 (pow a 2)))
(+.f64 (log.f64 a) (+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal 8/3 binary64) a) #s(literal -2 binary64)) (*.f64 a a))))
(+ (log -1) (* -1 (log (/ -1 a))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) a)))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* 2 (/ 1 a))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) a) (log.f64 (/.f64 #s(literal -1 binary64) a))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (- (* 2 (/ 1 a)) 2) a))))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) a))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) a)) a))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 a)) 2) a)) 2) a))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) a))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/3 binary64) a) #s(literal -2 binary64)) a)) a))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
a
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
a
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(+.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 a (+.f64 (.f64 a (.f64 (.f64 b a) #s(literal 1/48 binary64))) (.f64 b #s(literal -1/4 binary64)))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 2 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 2 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 b))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
(* 1/8 (pow b 2))
(.f64 b (.f64 b #s(literal 1/8 binary64)))
(* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) b)))))
(* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) b)))))
(* 1/8 (pow b 2))
(.f64 b (.f64 b #s(literal 1/8 binary64)))
(* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))
(.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b)))
(* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))
(.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b)))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (* 1/8 b)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(* b (+ 1/2 (* 1/8 b)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(* b (+ 1/2 (* 1/8 b)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(* 1/8 (pow b 2))
(.f64 b (.f64 b #s(literal 1/8 binary64)))
(* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(* 1/8 (pow b 2))
(.f64 b (.f64 b #s(literal 1/8 binary64)))
(* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 b))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/8 binary64)))
(+ 1/2 (* 1/8 b))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/8 binary64)))
(+ 1/2 (* 1/8 b))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/8 binary64)))
(* 1/8 b)
(*.f64 b #s(literal 1/8 binary64))
(* b (+ 1/8 (* 1/2 (/ 1 b))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/8 binary64)))
(* b (+ 1/8 (* 1/2 (/ 1 b))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/8 binary64)))
(* b (+ 1/8 (* 1/2 (/ 1 b))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/8 binary64)))
(* 1/8 b)
(*.f64 b #s(literal 1/8 binary64))
(* b (+ 1/8 (* 1/2 (/ 1 b))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/8 binary64)))
(* b (+ 1/8 (* 1/2 (/ 1 b))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/8 binary64)))
(* b (+ 1/8 (* 1/2 (/ 1 b))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/8 binary64)))
(/ 2 b)
(/.f64 #s(literal 2 binary64) b)
(+ (* 2 (/ 1 b)) (/ a b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 2 binary64) a))
(+ (* a (+ (* 1/2 (/ a b)) (/ 1 b))) (* 2 (/ 1 b)))
(+.f64 (/.f64 #s(literal 2 binary64) b) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)) (/.f64 a b)))
(+ (* a (+ (* a (+ (* 1/6 (/ a b)) (* 1/2 (/ 1 b)))) (/ 1 b))) (* 2 (/ 1 b)))
(+.f64 (/.f64 #s(literal 2 binary64) b) (.f64 a (+.f64 (/.f64 #s(literal 1 binary64) b) (.f64 (/.f64 a b) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(/ (+ 1 (exp a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)
(/ (+ 1 (exp a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)
(/ (+ 1 (exp a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)
(/ (+ 1 (exp a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)
(/ (+ 1 (exp a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)
(/ (+ 1 (exp a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)
(/ (+ 1 (exp a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)
(/ (+ 1 (exp a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)
(/ (+ 1 (exp a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)
(/ (+ 1 (exp a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)
(/ (+ 1 (exp a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)
(/ (+ 1 (exp a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)
(/ (+ 1 (exp a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)
(/ (+ 1 (exp a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)
(/ (+ 1 (exp a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)
(/ (+ 1 (exp a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)
(/ (+ 1 (exp a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)
(/ (+ 1 (exp a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)
(/ (+ 1 (exp a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)
(/ (+ 1 (exp a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)
(log (/ 2 b))
(log.f64 (/.f64 #s(literal 2 binary64) b))
(+ (log (/ 2 b)) (* 1/2 a))
(+.f64 (*.f64 #s(literal 1/2 binary64) a) (log.f64 (/.f64 #s(literal 2 binary64) b)))
(+ (log (/ 2 b)) (* a (+ 1/2 (* 1/8 a))))
(+.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))) (log.f64 (/.f64 #s(literal 2 binary64) b)))
(+ (log (/ 2 b)) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(+.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))))) (log.f64 (/.f64 #s(literal 2 binary64) b)))
(log (/ (+ 1 (exp a)) b))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(log (/ (+ 1 (exp a)) b))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(log (/ (+ 1 (exp a)) b))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(log (/ (+ 1 (exp a)) b))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(log (/ (+ 1 (exp a)) b))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(log (/ (+ 1 (exp a)) b))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(log (/ (+ 1 (exp a)) b))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(log (/ (+ 1 (exp a)) b))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(+ (log (+ 1 (exp a))) (* -1 (log b)))
(-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))
(+ (log (+ 1 (exp a))) (* -1 (log b)))
(-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))
(+ (log (+ 1 (exp a))) (* -1 (log b)))
(-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))
(+ (log (+ 1 (exp a))) (* -1 (log b)))
(-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))
(+ (log (+ 1 (exp a))) (log (/ 1 b)))
(-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))
(+ (log (+ 1 (exp a))) (log (/ 1 b)))
(-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))
(+ (log (+ 1 (exp a))) (log (/ 1 b)))
(-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))
(+ (log (+ 1 (exp a))) (log (/ 1 b)))
(-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))
(+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(* 1/8 b)
(*.f64 b #s(literal 1/8 binary64))
(* 1/8 b)
(*.f64 b #s(literal 1/8 binary64))
(* 1/8 b)
(*.f64 b #s(literal 1/8 binary64))
(* 1/8 b)
(*.f64 b #s(literal 1/8 binary64))
(* 1/8 b)
(*.f64 b #s(literal 1/8 binary64))
(* 1/8 b)
(*.f64 b #s(literal 1/8 binary64))
(* 1/8 b)
(*.f64 b #s(literal 1/8 binary64))
(* 1/8 b)
(*.f64 b #s(literal 1/8 binary64))
(* 1/8 b)
(*.f64 b #s(literal 1/8 binary64))
(* 1/8 b)
(*.f64 b #s(literal 1/8 binary64))
(* 1/8 b)
(*.f64 b #s(literal 1/8 binary64))
(* 1/8 b)
(*.f64 b #s(literal 1/8 binary64))

eval105.0ms (0.9%)

Compiler: Compiled 15018 to 2081 computations (86.1% saved)

prune85.0ms (0.7%)

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	792	8	800
Fresh	1	7	8
Picked	2	3	5
Done	0	1	1
Total	795	19	814

Accuracy

99.4%

Counts

814 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.0%	(/.f64 b (+.f64 #s(literal 2 binary64) a))
✓	48.1%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
▶	11.3%	(/.f64 b #s(literal 2 binary64))
▶	61.3%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))))) #s(literal -1 binary64))))
	44.0%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))))
✓	54.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
	54.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 1/2 binary64)))
	53.5%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64))))))))
	53.4%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
	53.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
▶	11.1%	(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
	5.2%	(.f64 b (.f64 b #s(literal 1/8 binary64)))
✓	52.1%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
▶	53.5%	(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))
✓	55.5%	(log1p.f64 (exp.f64 a))
	53.4%	(log1p.f64 #s(literal 1 binary64))
	55.5%	(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶	52.1%	(log.f64 (+.f64 a #s(literal 2 binary64)))
	54.1%	(log.f64 (+.f64 #s(literal 2 binary64) b))

Compiler

Compiled 349 to 263 computations (24.6% saved)

simplify136.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))
✓	cost-diff	0	(.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a))))
✓	cost-diff	0	(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))
✓	cost-diff	0	(+.f64 a #s(literal 2 binary64))
✓	cost-diff	0	(log.f64 (+.f64 a #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 b #s(literal 1/8 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/8 binary64)))
✓	cost-diff	0	(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
✓	cost-diff	0	(/.f64 b #s(literal 2 binary64))
✓	cost-diff	6464	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (log.f64 b)))))
✓	cost-diff	6592	(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))))) #s(literal -1 binary64))
✓	cost-diff	6592	(exp.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))))) #s(literal -1 binary64)))
✓	cost-diff	6592	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))))) #s(literal -1 binary64))))

Rules

1588×	`sum5-define`
1434×	`fma-lowering-fma.f32`
1434×	`fma-lowering-fma.f64`
1348×	`fmm-def`
1290×	`sum3-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	267
1	86	244
2	183	239
3	347	239
4	695	236
5	1435	236
6	3980	236
7	7309	236
0	8101	236

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (log (+ 1 (exp a))) (exp (* (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (pow (log (+ 1 (exp a))) 2) (+ (pow (log b) 2) (* (log (+ 1 (exp a))) (log b))))) -1)))
(log (+ 1 (exp a)))
(exp a)
a
(exp (* (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (pow (log (+ 1 (exp a))) 2) (+ (pow (log b) 2) (* (log (+ 1 (exp a))) (log b))))) -1))
(* (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (pow (log (+ 1 (exp a))) 2) (+ (pow (log b) 2) (* (log (+ 1 (exp a))) (log b))))) -1)
(/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (pow (log (+ 1 (exp a))) 2) (+ (pow (log b) 2) (* (log (+ 1 (exp a))) (log b)))))
(- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3))
(pow (log (+ 1 (exp a))) 3)
3
(pow (log b) 3)
(log b)
b
(+ (pow (log (+ 1 (exp a))) 2) (+ (pow (log b) 2) (* (log (+ 1 (exp a))) (log b))))
(pow (log (+ 1 (exp a))) 2)
2
(+ (pow (log b) 2) (* (log (+ 1 (exp a))) (log b)))
(pow (log b) 2)
(* (log (+ 1 (exp a))) (log b))
-1
(/ b 2)
b
2
(* b (+ 1/2 (* b 1/8)))
b
(+ 1/2 (* b 1/8))
1/2
(* b 1/8)
1/8
(log (+ a 2))
(+ a 2)
a
2
(log (+ 1 (+ 1 (* a (+ 1 (* 1/2 a))))))
(+ 1 (* a (+ 1 (* 1/2 a))))
1
(* a (+ 1 (* 1/2 a)))
a
(+ 1 (* 1/2 a))
(* 1/2 a)
1/2

Outputs
(+ (log (+ 1 (exp a))) (exp (* (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (pow (log (+ 1 (exp a))) 2) (+ (pow (log b) 2) (* (log (+ 1 (exp a))) (log b))))) -1)))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (log.f64 b) (+.f64 (log1p.f64 (exp.f64 a)) (log.f64 b)))))))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(exp a)
(exp.f64 a)
a
(exp (* (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (pow (log (+ 1 (exp a))) 2) (+ (pow (log b) 2) (* (log (+ 1 (exp a))) (log b))))) -1))
(exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (log.f64 b) (+.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))))))
(* (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (pow (log (+ 1 (exp a))) 2) (+ (pow (log b) 2) (* (log (+ 1 (exp a))) (log b))))) -1)
(/.f64 (-.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (log.f64 b) (+.f64 (log1p.f64 (exp.f64 a)) (log.f64 b)))))
(/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (pow (log (+ 1 (exp a))) 2) (+ (pow (log b) 2) (* (log (+ 1 (exp a))) (log b)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (log.f64 b) (+.f64 (log1p.f64 (exp.f64 a)) (log.f64 b)))))
(- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3))
(-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64)))
(pow (log (+ 1 (exp a))) 3)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(pow (log b) 3)
(pow.f64 (log.f64 b) #s(literal 3 binary64))
(log b)
(log.f64 b)
b
(+ (pow (log (+ 1 (exp a))) 2) (+ (pow (log b) 2) (* (log (+ 1 (exp a))) (log b))))
(+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (log.f64 b) (+.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))))
(pow (log (+ 1 (exp a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (pow (log b) 2) (* (log (+ 1 (exp a))) (log b)))
(*.f64 (log.f64 b) (+.f64 (log1p.f64 (exp.f64 a)) (log.f64 b)))
(pow (log b) 2)
(pow.f64 (log.f64 b) #s(literal 2 binary64))
(* (log (+ 1 (exp a))) (log b))
(*.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))
-1
#s(literal -1 binary64)
(/ b 2)
(/.f64 b #s(literal 2 binary64))
b
2
#s(literal 2 binary64)
(* b (+ 1/2 (* b 1/8)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
b
(+ 1/2 (* b 1/8))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/8 binary64)))
1/2
#s(literal 1/2 binary64)
(* b 1/8)
(*.f64 b #s(literal 1/8 binary64))
1/8
#s(literal 1/8 binary64)
(log (+ a 2))
(log.f64 (+.f64 a #s(literal 2 binary64)))
(+ a 2)
(+.f64 a #s(literal 2 binary64))
a
2
#s(literal 2 binary64)
(log (+ 1 (+ 1 (* a (+ 1 (* 1/2 a))))))
(log.f64 (+.f64 #s(literal 2 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64))))))
(+ 1 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))))
1
#s(literal 1 binary64)
(* a (+ 1 (* 1/2 a)))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64))))
a
(+ 1 (* 1/2 a))
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)

localize164.0ms (1.4%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) a)
✓	accuracy	100.0%	(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a))))
✓	accuracy	100.0%	(+.f64 a #s(literal 2 binary64))
✓	accuracy	100.0%	(log.f64 (+.f64 a #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/8 binary64)))
✓	accuracy	100.0%	(*.f64 b #s(literal 1/8 binary64))
✓	accuracy	100.0%	(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
✓	accuracy	100.0%	(/.f64 b #s(literal 2 binary64))
✓	accuracy	99.5%	(pow.f64 (log.f64 b) #s(literal 3 binary64))
✓	accuracy	99.4%	(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
✓	accuracy	99.4%	(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
✓	accuracy	96.5%	(exp.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))))) #s(literal -1 binary64)))

Results

66.0ms	153×	0	invalid
46.0ms	103×	0	valid

Compiler

Compiled 270 to 35 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-pow: 23.0ms (26.1% of total)

ival-add: 14.0ms (15.9% of total)

compiled-spec: 14.0ms (15.9% of total)

ival-mult: 12.0ms (13.6% of total)

ival-log: 11.0ms (12.5% of total)

ival-exp: 8.0ms (9.1% of total)

ival-div: 3.0ms (3.4% of total)

ival-sub: 1.0ms (1.1% of total)

const: 1.0ms (1.1% of total)

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

series156.0ms (1.3%)

Counts

18 → 264

Calls

Call 1

Inputs
#<alt (+ (log (+ 1 (exp a))) (exp (* (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (pow (log (+ 1 (exp a))) 2) (+ (pow (log b) 2) (* (log (+ 1 (exp a))) (log b))))) -1)))>
#<alt (exp (* (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (pow (log (+ 1 (exp a))) 2) (+ (pow (log b) 2) (* (log (+ 1 (exp a))) (log b))))) -1))>
#<alt (* (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (pow (log (+ 1 (exp a))) 2) (+ (pow (log b) 2) (* (log (+ 1 (exp a))) (log b))))) -1)>
#<alt (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (pow (log (+ 1 (exp a))) 2) (+ (pow (log b) 2) (* (log (+ 1 (exp a))) (log b)))))>
#<alt (/ b 2)>
#<alt (* b (+ 1/2 (* b 1/8)))>
#<alt (+ 1/2 (* b 1/8))>
#<alt (* b 1/8)>
#<alt (log (+ a 2))>
#<alt (+ a 2)>
#<alt (log (+ 1 (+ 1 (* a (+ 1 (* 1/2 a))))))>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (* a (+ 1 (* 1/2 a)))>
#<alt (+ 1 (* 1/2 a))>
#<alt (pow (log (+ 1 (exp a))) 2)>
#<alt (pow (log (+ 1 (exp a))) 3)>
#<alt (pow (log b) 3)>
#<alt (* 1/2 a)>

Outputs
#<alt (+ (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (log 2))>
#<alt (+ (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (log 2) (* a (+ 1/2 (* -1 (* (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)))))))))>
#<alt (+ (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (log 2) (* a (+ 1/2 (+ (* -1 (* (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2))))) (* a (+ 1/8 (* (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (* -1 (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (+ (* 1/2 (/ (log 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (/ (* (+ 1/4 (+ (* 1/8 (log b)) (* 1/4 (log 2)))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)) (/ (* (+ (log 2) (* 1/2 (log b))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))))) (* 1/2 (pow (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2))) 2)))))))))))>
#<alt (+ (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (log 2) (* a (+ 1/2 (+ (* -1 (* (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2))))) (* a (+ 1/8 (+ (* a (* (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (* -1 (- (+ (* 1/4 (/ (log 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (* 1/8 (/ (- (pow (log 2) 3) (pow (log b) 3)) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2))) (+ (/ (* (+ 1/4 (+ (* 1/8 (log b)) (* 1/4 (log 2)))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (+ (* 1/2 (/ (log 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (/ (* (+ 1/4 (+ (* 1/8 (log b)) (* 1/4 (log 2)))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)) (/ (* (+ (log 2) (* 1/2 (log b))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))))) (+ (* -1/6 (pow (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2))) 3)) (* (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (+ (* 1/2 (/ (log 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (/ (* (+ 1/4 (+ (* 1/8 (log b)) (* 1/4 (log 2)))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)) (/ (* (+ (log 2) (* 1/2 (log b))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)))))))) (* (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (* -1 (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (+ (* 1/2 (/ (log 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (/ (* (+ 1/4 (+ (* 1/8 (log b)) (* 1/4 (log 2)))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)) (/ (* (+ (log 2) (* 1/2 (log b))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))))) (* 1/2 (pow (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2))) 2))))))))))))>
#<alt (+ (exp (* -1 (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (* (log b) (log (+ 1 (exp a)))) (+ (pow (log b) 2) (pow (log (+ 1 (exp a))) 2)))))) (log (+ 1 (exp a))))>
#<alt (+ (exp (* -1 (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (* (log b) (log (+ 1 (exp a)))) (+ (pow (log b) 2) (pow (log (+ 1 (exp a))) 2)))))) (log (+ 1 (exp a))))>
#<alt (+ (exp (* -1 (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (* (log b) (log (+ 1 (exp a)))) (+ (pow (log b) 2) (pow (log (+ 1 (exp a))) 2)))))) (log (+ 1 (exp a))))>
#<alt (+ (exp (* -1 (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (* (log b) (log (+ 1 (exp a)))) (+ (pow (log b) 2) (pow (log (+ 1 (exp a))) 2)))))) (log (+ 1 (exp a))))>
#<alt (+ (exp (* -1 (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (* (log b) (log (+ 1 (exp a)))) (+ (pow (log b) 2) (pow (log (+ 1 (exp a))) 2)))))) (log (+ 1 (exp a))))>
#<alt (+ (exp (* -1 (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (* (log b) (log (+ 1 (exp a)))) (+ (pow (log b) 2) (pow (log (+ 1 (exp a))) 2)))))) (log (+ 1 (exp a))))>
#<alt (+ (exp (* -1 (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (* (log b) (log (+ 1 (exp a)))) (+ (pow (log b) 2) (pow (log (+ 1 (exp a))) 2)))))) (log (+ 1 (exp a))))>
#<alt (+ (exp (* -1 (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (* (log b) (log (+ 1 (exp a)))) (+ (pow (log b) 2) (pow (log (+ 1 (exp a))) 2)))))) (log (+ 1 (exp a))))>
#<alt (+ (exp (* -1 (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (* (log b) (log (+ 1 (exp a)))) (+ (pow (log b) 2) (pow (log (+ 1 (exp a))) 2)))))) (log (+ 1 (exp a))))>
#<alt (+ (exp (* -1 (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (* (log b) (log (+ 1 (exp a)))) (+ (pow (log b) 2) (pow (log (+ 1 (exp a))) 2)))))) (log (+ 1 (exp a))))>
#<alt (+ (exp (* -1 (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (* (log b) (log (+ 1 (exp a)))) (+ (pow (log b) 2) (pow (log (+ 1 (exp a))) 2)))))) (log (+ 1 (exp a))))>
#<alt (+ (exp (* -1 (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (* (log b) (log (+ 1 (exp a)))) (+ (pow (log b) 2) (pow (log (+ 1 (exp a))) 2)))))) (log (+ 1 (exp a))))>
#<alt (+ (exp (* -1 (/ (- (pow (log (+ 1 (exp a))) 3) (* -1 (pow (log (/ 1 b)) 3))) (+ (* -1 (* (log (+ 1 (exp a))) (log (/ 1 b)))) (+ (pow (log (+ 1 (exp a))) 2) (pow (log (/ 1 b)) 2)))))) (log (+ 1 (exp a))))>
#<alt (+ (exp (* -1 (/ (- (pow (log (+ 1 (exp a))) 3) (* -1 (pow (log (/ 1 b)) 3))) (+ (* -1 (* (log (+ 1 (exp a))) (log (/ 1 b)))) (+ (pow (log (+ 1 (exp a))) 2) (pow (log (/ 1 b)) 2)))))) (log (+ 1 (exp a))))>
#<alt (+ (exp (* -1 (/ (- (pow (log (+ 1 (exp a))) 3) (* -1 (pow (log (/ 1 b)) 3))) (+ (* -1 (* (log (+ 1 (exp a))) (log (/ 1 b)))) (+ (pow (log (+ 1 (exp a))) 2) (pow (log (/ 1 b)) 2)))))) (log (+ 1 (exp a))))>
#<alt (+ (exp (* -1 (/ (- (pow (log (+ 1 (exp a))) 3) (* -1 (pow (log (/ 1 b)) 3))) (+ (* -1 (* (log (+ 1 (exp a))) (log (/ 1 b)))) (+ (pow (log (+ 1 (exp a))) 2) (pow (log (/ 1 b)) 2)))))) (log (+ 1 (exp a))))>
#<alt (+ (exp (* -1 (/ (- (pow (log (+ 1 (exp a))) 3) (pow (+ (log -1) (* -1 (log (/ -1 b)))) 3)) (+ (* (log (+ 1 (exp a))) (+ (log -1) (* -1 (log (/ -1 b))))) (+ (pow (log (+ 1 (exp a))) 2) (pow (+ (log -1) (* -1 (log (/ -1 b)))) 2)))))) (log (+ 1 (exp a))))>
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Calls

66 calls:

Time	Variable		Point	Expression
114.0ms	a	@	inf	(+ (log (+ 1 (exp a))) (exp (* (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (pow (log (+ 1 (exp a))) 2) (+ (pow (log b) 2) (* (log (+ 1 (exp a))) (log b))))) -1)))
8.0ms	b	@	0	(+ (log (+ 1 (exp a))) (exp (* (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (pow (log (+ 1 (exp a))) 2) (+ (pow (log b) 2) (* (log (+ 1 (exp a))) (log b))))) -1)))
7.0ms	b	@	inf	(+ (log (+ 1 (exp a))) (exp (* (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (pow (log (+ 1 (exp a))) 2) (+ (pow (log b) 2) (* (log (+ 1 (exp a))) (log b))))) -1)))
5.0ms	a	@	0	(+ (log (+ 1 (exp a))) (exp (* (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (pow (log (+ 1 (exp a))) 2) (+ (pow (log b) 2) (* (log (+ 1 (exp a))) (log b))))) -1)))
3.0ms	b	@	-inf	(+ (log (+ 1 (exp a))) (exp (* (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (pow (log (+ 1 (exp a))) 2) (+ (pow (log b) 2) (* (log (+ 1 (exp a))) (log b))))) -1)))

rewrite347.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

2814×	`-lowering-.f32`
2814×	`-lowering-.f64`
2248×	`/-lowering-/.f32`
2248×	`/-lowering-/.f64`
2244×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	197
1	238	98
2	2133	96
0	8904	96

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 437

Calls

Call 1

Inputs
(+ (log (+ 1 (exp a))) (exp (* (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (pow (log (+ 1 (exp a))) 2) (+ (pow (log b) 2) (* (log (+ 1 (exp a))) (log b))))) -1)))
(exp (* (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (pow (log (+ 1 (exp a))) 2) (+ (pow (log b) 2) (* (log (+ 1 (exp a))) (log b))))) -1))
(* (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (pow (log (+ 1 (exp a))) 2) (+ (pow (log b) 2) (* (log (+ 1 (exp a))) (log b))))) -1)
(/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (pow (log (+ 1 (exp a))) 2) (+ (pow (log b) 2) (* (log (+ 1 (exp a))) (log b)))))
(/ b 2)
(* b (+ 1/2 (* b 1/8)))
(+ 1/2 (* b 1/8))
(* b 1/8)
(log (+ a 2))
(+ a 2)
(log (+ 1 (+ 1 (* a (+ 1 (* 1/2 a))))))
(+ 1 (* a (+ 1 (* 1/2 a))))
(* a (+ 1 (* 1/2 a)))
(+ 1 (* 1/2 a))
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 3)
(pow (log b) 3)
(* 1/2 a)

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

simplify572.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

3318×	`+-lowering-+.f64`
3318×	`+-lowering-+.f32`
3296×	`-lowering-.f32`
3296×	`-lowering-.f64`
2166×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	336	8987
1	1122	8343
2	4055	7954
0	8553	7954

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(+ (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (log 2))
(+ (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (log 2) (* a (+ 1/2 (* -1 (* (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)))))))))
(+ (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (log 2) (* a (+ 1/2 (+ (* -1 (* (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2))))) (* a (+ 1/8 (* (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (* -1 (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (+ (* 1/2 (/ (log 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (/ (* (+ 1/4 (+ (* 1/8 (log b)) (* 1/4 (log 2)))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)) (/ (* (+ (log 2) (* 1/2 (log b))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))))) (* 1/2 (pow (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2))) 2)))))))))))
(+ (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (log 2) (* a (+ 1/2 (+ (* -1 (* (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2))))) (* a (+ 1/8 (+ (* a (* (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (* -1 (- (+ (* 1/4 (/ (log 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (* 1/8 (/ (- (pow (log 2) 3) (pow (log b) 3)) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2))) (+ (/ (* (+ 1/4 (+ (* 1/8 (log b)) (* 1/4 (log 2)))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (+ (* 1/2 (/ (log 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (/ (* (+ 1/4 (+ (* 1/8 (log b)) (* 1/4 (log 2)))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)) (/ (* (+ (log 2) (* 1/2 (log b))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))))) (+ (* -1/6 (pow (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2))) 3)) (* (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (+ (* 1/2 (/ (log 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (/ (* (+ 1/4 (+ (* 1/8 (log b)) (* 1/4 (log 2)))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)) (/ (* (+ (log 2) (* 1/2 (log b))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)))))))) (* (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (* -1 (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (+ (* 1/2 (/ (log 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (/ (* (+ 1/4 (+ (* 1/8 (log b)) (* 1/4 (log 2)))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)) (/ (* (+ (log 2) (* 1/2 (log b))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))))) (* 1/2 (pow (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2))) 2))))))))))))
(+ (exp (* -1 (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (* (log b) (log (+ 1 (exp a)))) (+ (pow (log b) 2) (pow (log (+ 1 (exp a))) 2)))))) (log (+ 1 (exp a))))
(+ (exp (* -1 (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (* (log b) (log (+ 1 (exp a)))) (+ (pow (log b) 2) (pow (log (+ 1 (exp a))) 2)))))) (log (+ 1 (exp a))))
(+ (exp (* -1 (/ (- (pow (log (+ 1 (exp a))) 3) (pow (log b) 3)) (+ (* (log b) (log (+ 1 (exp a)))) (+ (pow (log b) 2) (pow (log (+ 1 (exp a))) 2)))))) (log (+ 1 (exp a))))
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1/2
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2
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a
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(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/12 a))))))
(+ (log 1/2) (* -2 (log (/ 1 a))))
(+ (log 1/2) (+ (* -2 (log (/ 1 a))) (* 2 (/ 1 a))))
(+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (/ 2 (pow a 2)))))
(- (+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (/ 2 (pow a 2))))) (* 16/3 (/ 1 (pow a 3))))
(+ (log 1/2) (* -2 (log (/ -1 a))))
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* 2 (/ 1 a))))
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (+ (* 2 (/ 1 a)) (/ 2 (pow a 2)))))
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* -1 (/ (- (* -1 (/ (- 2 (* 16/3 (/ 1 a))) a)) 2) a))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* 1/2 a))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
a
(* a (+ 1 (* 1/2 a)))
(* a (+ 1 (* 1/2 a)))
(* a (+ 1 (* 1/2 a)))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
1
(+ 1 (* 1/2 a))
(+ 1 (* 1/2 a))
(+ 1 (* 1/2 a))
(* 1/2 a)
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* 1/2 a)
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(pow (log 2) 2)
(+ (* a (log 2)) (pow (log 2) 2))
(+ (* a (+ (log 2) (* a (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))
(+ (* a (+ (log 2) (* a (+ 1/4 (+ (* 1/8 a) (* 1/4 (log 2))))))) (pow (log 2) 2))
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log 2) 3)
(+ (* a (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 3))
(+ (* a (+ (* 1/2 (pow (log 2) 2)) (+ (* a (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(+ (* a (+ (* 1/2 (pow (log 2) 2)) (+ (* a (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* a (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(pow (log (+ 1 (exp a))) 3)
(pow (log (+ 1 (exp a))) 3)
(pow (log (+ 1 (exp a))) 3)
(pow (log (+ 1 (exp a))) 3)
(pow (log (+ 1 (exp a))) 3)
(pow (log (+ 1 (exp a))) 3)
(pow (log (+ 1 (exp a))) 3)
(pow (log (+ 1 (exp a))) 3)
(pow (log b) 3)
(pow (log b) 3)
(pow (log b) 3)
(pow (log b) 3)
(* -1 (pow (log (/ 1 b)) 3))
(* -1 (pow (log (/ 1 b)) 3))
(* -1 (pow (log (/ 1 b)) 3))
(* -1 (pow (log (/ 1 b)) 3))
(pow (+ (log -1) (* -1 (log (/ -1 b)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 b)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 b)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 b)))) 3)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)

Outputs
(+ (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (log 2))
(+.f64 (log.f64 #s(literal 2 binary64)) (exp.f64 (/.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (*.f64 (log.f64 b) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 b))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+ (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (log 2) (* a (+ 1/2 (* -1 (* (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)))))))))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (exp.f64 (/.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (.f64 (log.f64 b) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 b))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 a (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 (log.f64 b) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (.f64 (log.f64 b) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 b))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (.f64 (log.f64 b) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 b))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -3/2 binary64))) #s(literal 1 binary64)) (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 b) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 b))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))))
(+ (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (log 2) (* a (+ 1/2 (+ (* -1 (* (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2))))) (* a (+ 1/8 (* (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (* -1 (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (+ (* 1/2 (/ (log 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (/ (* (+ 1/4 (+ (* 1/8 (log b)) (* 1/4 (log 2)))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)) (/ (* (+ (log 2) (* 1/2 (log b))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))))) (* 1/2 (pow (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2))) 2)))))))))))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (exp.f64 (/.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (.f64 (log.f64 b) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 b))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 a (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a #s(literal 1/8 binary64)) (.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (.f64 (log.f64 b) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 b))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (/.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (+.f64 (.f64 (log.f64 b) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 b))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 (log.f64 b) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (.f64 (log.f64 b) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 b))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (+.f64 (.f64 (log.f64 b) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 b))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 (log.f64 b) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 b))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))) (-.f64 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 (log.f64 b) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (.f64 (log.f64 b) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 b))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (.f64 (log.f64 b) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 b))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -3/2 binary64))) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 (log.f64 b) #s(literal 1/2 binary64))) (+.f64 (.f64 (log.f64 b) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 b))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (log.f64 b) #s(literal 1/8 binary64))))) (pow.f64 (+.f64 (.f64 (log.f64 b) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 b))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))) a) (+.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 (log.f64 b) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (.f64 (log.f64 b) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 b))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (.f64 (log.f64 b) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 b))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -3/2 binary64)))))))))
(+ (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (log 2) (* a (+ 1/2 (+ (* -1 (* (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2))))) (* a (+ 1/8 (+ (* a (* (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (* -1 (- (+ (* 1/4 (/ (log 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (* 1/8 (/ (- (pow (log 2) 3) (pow (log b) 3)) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2))) (+ (/ (* (+ 1/4 (+ (* 1/8 (log b)) (* 1/4 (log 2)))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (+ (* 1/2 (/ (log 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (/ (* (+ 1/4 (+ (* 1/8 (log b)) (* 1/4 (log 2)))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)) (/ (* (+ (log 2) (* 1/2 (log b))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))))) (+ (* -1/6 (pow (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2))) 3)) (* (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (+ (* 1/2 (/ (log 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (/ (* (+ 1/4 (+ (* 1/8 (log b)) (* 1/4 (log 2)))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)) (/ (* (+ (log 2) (* 1/2 (log b))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)))))))) (* (exp (* -1 (/ (- (pow (log 2) 3) (pow (log b) 3)) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (* -1 (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (+ (* 1/2 (/ (log 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2)))))) (+ (/ (* (+ 1/4 (+ (* 1/8 (log b)) (* 1/4 (log 2)))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)) (/ (* (+ (log 2) (* 1/2 (log b))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))) (/ (* (+ (log 2) (* 1/2 (log b))) (- (pow (log 2) 3) (pow (log b) 3))) (pow (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))) 2)))) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow (log b) 2))))))) (* 1/2 (pow (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* (log 2) (log b)) (+ (pow (log 2) 2) (pow 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(.f64 #s(literal 1/2 binary64) (.f64 a a))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64))))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64))))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 a))
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))
(+ 1 (* 1/2 a))
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))
(+ 1 (* 1/2 a))
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* a (+ 1/2 (/ 1 a)))
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))
(* a (+ 1/2 (/ 1 a)))
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))
(* a (+ 1/2 (/ 1 a)))
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* a (+ 1/2 (/ 1 a)))
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))
(* a (+ 1/2 (/ 1 a)))
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))
(* a (+ 1/2 (/ 1 a)))
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))
(pow (log 2) 2)
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))
(+ (* a (log 2)) (pow (log 2) 2))
(*.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) a))
(+ (* a (+ (log 2) (* a (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))
(+.f64 (.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) a)) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 a a)))
(+ (* a (+ (log 2) (* a (+ 1/4 (+ (* 1/8 a) (* 1/4 (log 2))))))) (pow (log 2) 2))
(+.f64 (.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) a)) (.f64 (.f64 a a) (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/8 binary64))))))
(pow (log (+ 1 (exp a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(pow (log (+ 1 (exp a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(pow (log (+ 1 (exp a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(pow (log (+ 1 (exp a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(pow (log (+ 1 (exp a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(pow (log (+ 1 (exp a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(pow (log (+ 1 (exp a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(pow (log (+ 1 (exp a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(pow (log 2) 3)
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
(+ (* a (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 3))
(.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a #s(literal 3/2 binary64))))
(+ (* a (+ (* 1/2 (pow (log 2) 2)) (+ (* a (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 a (+.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 a (.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (+.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))))))
(+ (* a (+ (* 1/2 (pow (log 2) 2)) (+ (* a (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* a (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 a (+.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 a (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (+.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64)))))))))
(pow (log (+ 1 (exp a))) 3)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
(pow (log (+ 1 (exp a))) 3)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
(pow (log (+ 1 (exp a))) 3)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
(pow (log (+ 1 (exp a))) 3)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
(pow (log (+ 1 (exp a))) 3)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
(pow (log (+ 1 (exp a))) 3)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
(pow (log (+ 1 (exp a))) 3)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
(pow (log (+ 1 (exp a))) 3)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
(pow (log b) 3)
(pow.f64 (log.f64 b) #s(literal 3 binary64))
(pow (log b) 3)
(pow.f64 (log.f64 b) #s(literal 3 binary64))
(pow (log b) 3)
(pow.f64 (log.f64 b) #s(literal 3 binary64))
(pow (log b) 3)
(pow.f64 (log.f64 b) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 b)) 3))
(pow.f64 (log.f64 b) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 b)) 3))
(pow.f64 (log.f64 b) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 b)) 3))
(pow.f64 (log.f64 b) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 b)) 3))
(pow.f64 (log.f64 b) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 b)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 b)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 b)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 b)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b))) #s(literal 3 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))

eval88.0ms (0.8%)

Compiler: Compiled 27056 to 2168 computations (92% saved)

prune119.0ms (1%)

Pruning

28 alts after pruning (20 fresh and 8 done)

	Pruned	Kept	Total
New	690	11	701
Fresh	1	9	10
Picked	1	4	5
Done	0	4	4
Total	692	28	720

Accuracy

99.4%

Counts

720 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.2%	(/.f64 (-.f64 (.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) (.f64 (.f64 b (.f64 b #s(literal 1/8 binary64))) (.f64 b (.f64 b #s(literal 1/8 binary64))))) (-.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (.f64 b #s(literal 1/8 binary64)))))
	4.9%	(/.f64 (+.f64 (/.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64)) (.f64 (.f64 (.f64 b (.f64 b b)) #s(literal 1/512 binary64)) (.f64 b (.f64 b b)))) (+.f64 (.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) (-.f64 (.f64 (.f64 b (.f64 b #s(literal 1/8 binary64))) (.f64 b (.f64 b #s(literal 1/8 binary64)))) (.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (*.f64 b #s(literal 1/8 binary64)))))))
	11.1%	(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 b b))) b) (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
	5.0%	(/.f64 b (+.f64 #s(literal 2 binary64) a))
✓	48.1%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	11.3%	(/.f64 b #s(literal 2 binary64))
	11.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
	11.1%	(+.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (.f64 b #s(literal 1/8 binary64))))
	55.8%	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (log.f64 b) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64)))))
	52.9%	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (exp.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 b) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) #s(literal 3 binary64))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 b) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) (-.f64 (.f64 (log.f64 b) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))))
	61.3%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))))))))
	44.0%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))))
✓	54.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
	54.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 1/2 binary64)))
	53.5%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64))))))))
	53.4%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
	53.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
	39.8%	(+.f64 (log.f64 #s(literal 2 binary64)) (exp.f64 (/.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (*.f64 (log.f64 b) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 b))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
	11.1%	(.f64 b (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 b b)) #s(literal 1/4 binary64)) (-.f64 (.f64 b #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
✓	11.1%	(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
	5.2%	(.f64 b (.f64 b #s(literal 1/8 binary64)))
✓	52.1%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
✓	53.5%	(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))
✓	55.5%	(log1p.f64 (exp.f64 a))
	53.4%	(log1p.f64 #s(literal 1 binary64))
	55.5%	(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓	52.1%	(log.f64 (+.f64 a #s(literal 2 binary64)))
	54.1%	(log.f64 (+.f64 #s(literal 2 binary64) b))

Compiler

Compiled 1024 to 468 computations (54.3% saved)

regimes67.0ms (0.6%)

Counts

42 → 1

Calls

Call 1

Inputs
(/.f64 b #s(literal 2 binary64))
(.f64 b (.f64 b #s(literal 1/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(+.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (.f64 b #s(literal 1/8 binary64))))
(.f64 b (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 b b)) #s(literal 1/4 binary64)) (-.f64 (.f64 b #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 b b))) b) (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) (.f64 (.f64 b (.f64 b #s(literal 1/8 binary64))) (.f64 b (.f64 b #s(literal 1/8 binary64))))) (-.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (.f64 b #s(literal 1/8 binary64)))))
(/.f64 (+.f64 (/.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64)) (.f64 (.f64 (.f64 b (.f64 b b)) #s(literal 1/512 binary64)) (.f64 b (.f64 b b)))) (+.f64 (.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) (-.f64 (.f64 (.f64 b (.f64 b #s(literal 1/8 binary64))) (.f64 b (.f64 b #s(literal 1/8 binary64)))) (.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (*.f64 b #s(literal 1/8 binary64)))))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log.f64 (+.f64 a #s(literal 2 binary64)))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 1/2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64))))))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
(log.f64 (+.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))))))))
(log.f64 (+.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))))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (exp.f64 (/.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (*.f64 (log.f64 b) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 b))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))))))))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))))) #s(literal -1 binary64))))
(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (log.f64 b) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64)))))
(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (exp.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 b) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) #s(literal 3 binary64))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 b) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) (-.f64 (.f64 (log.f64 b) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))))

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

Calls

6 calls:

12.0ms	(exp.f64 b)
12.0ms	b
11.0ms	a
10.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
9.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
99.2%	1	`a`
99.2%	1	`b`
99.2%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
99.2%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
99.2%	1	`(exp.f64 a)`
99.2%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes55.0ms (0.5%)

Counts

34 → 2

Calls

Call 1

Inputs
(/.f64 b #s(literal 2 binary64))
(.f64 b (.f64 b #s(literal 1/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(+.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (.f64 b #s(literal 1/8 binary64))))
(.f64 b (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 b b)) #s(literal 1/4 binary64)) (-.f64 (.f64 b #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 b b))) b) (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) (.f64 (.f64 b (.f64 b #s(literal 1/8 binary64))) (.f64 b (.f64 b #s(literal 1/8 binary64))))) (-.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (.f64 b #s(literal 1/8 binary64)))))
(/.f64 (+.f64 (/.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64)) (.f64 (.f64 (.f64 b (.f64 b b)) #s(literal 1/512 binary64)) (.f64 b (.f64 b b)))) (+.f64 (.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) (-.f64 (.f64 (.f64 b (.f64 b #s(literal 1/8 binary64))) (.f64 b (.f64 b #s(literal 1/8 binary64)))) (.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (*.f64 b #s(literal 1/8 binary64)))))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log.f64 (+.f64 a #s(literal 2 binary64)))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 1/2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64))))))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
(log.f64 (+.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))))))))
(log.f64 (+.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))))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))

Outputs

(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))

(log.f64 (+.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))))))))

Calls

6 calls:

12.0ms	a
9.0ms	b
9.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
8.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
99.3%	2	`a`
66.8%	2	`b`
98.9%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.9%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
99.3%	2	`(exp.f64 a)`
58.8%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes19.0ms (0.2%)

Counts

30 → 2

Calls

Call 1

Inputs
(/.f64 b #s(literal 2 binary64))
(.f64 b (.f64 b #s(literal 1/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(+.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (.f64 b #s(literal 1/8 binary64))))
(.f64 b (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 b b)) #s(literal 1/4 binary64)) (-.f64 (.f64 b #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 b b))) b) (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) (.f64 (.f64 b (.f64 b #s(literal 1/8 binary64))) (.f64 b (.f64 b #s(literal 1/8 binary64))))) (-.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (.f64 b #s(literal 1/8 binary64)))))
(/.f64 (+.f64 (/.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64)) (.f64 (.f64 (.f64 b (.f64 b b)) #s(literal 1/512 binary64)) (.f64 b (.f64 b b)))) (+.f64 (.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) (-.f64 (.f64 (.f64 b (.f64 b #s(literal 1/8 binary64))) (.f64 b (.f64 b #s(literal 1/8 binary64)))) (.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (*.f64 b #s(literal 1/8 binary64)))))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log.f64 (+.f64 a #s(literal 2 binary64)))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 1/2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64))))))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))

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

Calls

2 calls:

8.0ms	a
7.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
99.3%	2	`a`
99.3%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes17.0ms (0.1%)

Counts

29 → 2

Calls

Call 1

Inputs
(/.f64 b #s(literal 2 binary64))
(.f64 b (.f64 b #s(literal 1/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(+.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (.f64 b #s(literal 1/8 binary64))))
(.f64 b (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 b b)) #s(literal 1/4 binary64)) (-.f64 (.f64 b #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 b b))) b) (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) (.f64 (.f64 b (.f64 b #s(literal 1/8 binary64))) (.f64 b (.f64 b #s(literal 1/8 binary64))))) (-.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (.f64 b #s(literal 1/8 binary64)))))
(/.f64 (+.f64 (/.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64)) (.f64 (.f64 (.f64 b (.f64 b b)) #s(literal 1/512 binary64)) (.f64 b (.f64 b b)))) (+.f64 (.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) (-.f64 (.f64 (.f64 b (.f64 b #s(literal 1/8 binary64))) (.f64 b (.f64 b #s(literal 1/8 binary64)))) (.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (*.f64 b #s(literal 1/8 binary64)))))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log.f64 (+.f64 a #s(literal 2 binary64)))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 1/2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64))))))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))

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

Calls

2 calls:

8.0ms	a
6.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
99.2%	2	`a`
99.2%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes18.0ms (0.1%)

Counts

28 → 2

Calls

Call 1

Inputs
(/.f64 b #s(literal 2 binary64))
(.f64 b (.f64 b #s(literal 1/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(+.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (.f64 b #s(literal 1/8 binary64))))
(.f64 b (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 b b)) #s(literal 1/4 binary64)) (-.f64 (.f64 b #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 b b))) b) (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) (.f64 (.f64 b (.f64 b #s(literal 1/8 binary64))) (.f64 b (.f64 b #s(literal 1/8 binary64))))) (-.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (.f64 b #s(literal 1/8 binary64)))))
(/.f64 (+.f64 (/.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64)) (.f64 (.f64 (.f64 b (.f64 b b)) #s(literal 1/512 binary64)) (.f64 b (.f64 b b)))) (+.f64 (.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) (-.f64 (.f64 (.f64 b (.f64 b #s(literal 1/8 binary64))) (.f64 b (.f64 b #s(literal 1/8 binary64)))) (.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (*.f64 b #s(literal 1/8 binary64)))))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log.f64 (+.f64 a #s(literal 2 binary64)))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 1/2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64))))))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))

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

Calls

2 calls:

8.0ms	a
8.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.4%	2	`a`
98.4%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes14.0ms (0.1%)

Counts

24 → 2

Calls

Call 1

Inputs
(/.f64 b #s(literal 2 binary64))
(.f64 b (.f64 b #s(literal 1/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(+.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (.f64 b #s(literal 1/8 binary64))))
(.f64 b (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 b b)) #s(literal 1/4 binary64)) (-.f64 (.f64 b #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 b b))) b) (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) (.f64 (.f64 b (.f64 b #s(literal 1/8 binary64))) (.f64 b (.f64 b #s(literal 1/8 binary64))))) (-.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (.f64 b #s(literal 1/8 binary64)))))
(/.f64 (+.f64 (/.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64)) (.f64 (.f64 (.f64 b (.f64 b b)) #s(literal 1/512 binary64)) (.f64 b (.f64 b b)))) (+.f64 (.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) (-.f64 (.f64 (.f64 b (.f64 b #s(literal 1/8 binary64))) (.f64 b (.f64 b #s(literal 1/8 binary64)))) (.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (*.f64 b #s(literal 1/8 binary64)))))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log.f64 (+.f64 a #s(literal 2 binary64)))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 1/2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64))))))))

Outputs

(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))

(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a #s(literal -1/192 binary64))))))))

Calls

2 calls:

7.0ms	a
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.0%	2	`a`
98.0%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes15.0ms (0.1%)

Counts

23 → 2

Calls

Call 1

Inputs
(/.f64 b #s(literal 2 binary64))
(.f64 b (.f64 b #s(literal 1/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(+.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (.f64 b #s(literal 1/8 binary64))))
(.f64 b (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 b b)) #s(literal 1/4 binary64)) (-.f64 (.f64 b #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 b b))) b) (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) (.f64 (.f64 b (.f64 b #s(literal 1/8 binary64))) (.f64 b (.f64 b #s(literal 1/8 binary64))))) (-.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (.f64 b #s(literal 1/8 binary64)))))
(/.f64 (+.f64 (/.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64)) (.f64 (.f64 (.f64 b (.f64 b b)) #s(literal 1/512 binary64)) (.f64 b (.f64 b b)))) (+.f64 (.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) (-.f64 (.f64 (.f64 b (.f64 b #s(literal 1/8 binary64))) (.f64 b (.f64 b #s(literal 1/8 binary64)))) (.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (*.f64 b #s(literal 1/8 binary64)))))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log.f64 (+.f64 a #s(literal 2 binary64)))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 1/2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))

Outputs
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))

Calls

2 calls:

7.0ms	a
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.8%	2	`(exp.f64 a)`
97.8%	2	`a`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes16.0ms (0.1%)

Counts

21 → 2

Calls

Call 1

Inputs
(/.f64 b #s(literal 2 binary64))
(.f64 b (.f64 b #s(literal 1/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(+.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (.f64 b #s(literal 1/8 binary64))))
(.f64 b (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 b b)) #s(literal 1/4 binary64)) (-.f64 (.f64 b #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 b b))) b) (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) (.f64 (.f64 b (.f64 b #s(literal 1/8 binary64))) (.f64 b (.f64 b #s(literal 1/8 binary64))))) (-.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (.f64 b #s(literal 1/8 binary64)))))
(/.f64 (+.f64 (/.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64)) (.f64 (.f64 (.f64 b (.f64 b b)) #s(literal 1/512 binary64)) (.f64 b (.f64 b b)))) (+.f64 (.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) (-.f64 (.f64 (.f64 b (.f64 b #s(literal 1/8 binary64))) (.f64 b (.f64 b #s(literal 1/8 binary64)))) (.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (*.f64 b #s(literal 1/8 binary64)))))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log.f64 (+.f64 a #s(literal 2 binary64)))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 1/2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))

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

Calls

2 calls:

8.0ms	(exp.f64 a)
6.0ms	a

Results

Accuracy	Segments	Branch
97.7%	2	`(exp.f64 a)`
97.7%	2	`a`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes15.0ms (0.1%)

Counts

19 → 2

Calls

Call 1

Inputs
(/.f64 b #s(literal 2 binary64))
(.f64 b (.f64 b #s(literal 1/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(+.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (.f64 b #s(literal 1/8 binary64))))
(.f64 b (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 b b)) #s(literal 1/4 binary64)) (-.f64 (.f64 b #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 b b))) b) (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) (.f64 (.f64 b (.f64 b #s(literal 1/8 binary64))) (.f64 b (.f64 b #s(literal 1/8 binary64))))) (-.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (.f64 b #s(literal 1/8 binary64)))))
(/.f64 (+.f64 (/.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64)) (.f64 (.f64 (.f64 b (.f64 b b)) #s(literal 1/512 binary64)) (.f64 b (.f64 b b)))) (+.f64 (.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) (-.f64 (.f64 (.f64 b (.f64 b #s(literal 1/8 binary64))) (.f64 b (.f64 b #s(literal 1/8 binary64)))) (.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (*.f64 b #s(literal 1/8 binary64)))))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log.f64 (+.f64 a #s(literal 2 binary64)))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 1/2 binary64)))

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

Calls

2 calls:

8.0ms	b
6.0ms	a

Results

Accuracy	Segments	Branch
54.3%	1	`b`
60.9%	2	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

Inputs
(/.f64 b #s(literal 2 binary64))
(.f64 b (.f64 b #s(literal 1/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(+.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (.f64 b #s(literal 1/8 binary64))))
(.f64 b (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 b b)) #s(literal 1/4 binary64)) (-.f64 (.f64 b #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 b b))) b) (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) (.f64 (.f64 b (.f64 b #s(literal 1/8 binary64))) (.f64 b (.f64 b #s(literal 1/8 binary64))))) (-.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (.f64 b #s(literal 1/8 binary64)))))
(/.f64 (+.f64 (/.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64)) (.f64 (.f64 (.f64 b (.f64 b b)) #s(literal 1/512 binary64)) (.f64 b (.f64 b b)))) (+.f64 (.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) (-.f64 (.f64 (.f64 b (.f64 b #s(literal 1/8 binary64))) (.f64 b (.f64 b #s(literal 1/8 binary64)))) (.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (*.f64 b #s(literal 1/8 binary64)))))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log.f64 (+.f64 a #s(literal 2 binary64)))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))

Outputs
(/.f64 b #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
60.8%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

Inputs
(/.f64 b #s(literal 2 binary64))
(.f64 b (.f64 b #s(literal 1/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(+.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (.f64 b #s(literal 1/8 binary64))))
(.f64 b (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 b b)) #s(literal 1/4 binary64)) (-.f64 (.f64 b #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 b b))) b) (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) (.f64 (.f64 b (.f64 b #s(literal 1/8 binary64))) (.f64 b (.f64 b #s(literal 1/8 binary64))))) (-.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (.f64 b #s(literal 1/8 binary64)))))
(/.f64 (+.f64 (/.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64)) (.f64 (.f64 (.f64 b (.f64 b b)) #s(literal 1/512 binary64)) (.f64 b (.f64 b b)))) (+.f64 (.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) (-.f64 (.f64 (.f64 b (.f64 b #s(literal 1/8 binary64))) (.f64 b (.f64 b #s(literal 1/8 binary64)))) (.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (*.f64 b #s(literal 1/8 binary64)))))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))

Outputs
(/.f64 b #s(literal 2 binary64))
(log1p.f64 #s(literal 1 binary64))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
60.0%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Accuracy

Total -6.8b remaining (-11.9%)

Threshold costs -6.8b (-11.9%)

Counts

11 → 1

Calls

Call 1

Inputs
(/.f64 b #s(literal 2 binary64))
(.f64 b (.f64 b #s(literal 1/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(+.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (.f64 b #s(literal 1/8 binary64))))
(.f64 b (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 b b)) #s(literal 1/4 binary64)) (-.f64 (.f64 b #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 b b))) b) (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) (.f64 (.f64 b (.f64 b #s(literal 1/8 binary64))) (.f64 b (.f64 b #s(literal 1/8 binary64))))) (-.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (.f64 b #s(literal 1/8 binary64)))))
(/.f64 (+.f64 (/.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64)) (.f64 (.f64 (.f64 b (.f64 b b)) #s(literal 1/512 binary64)) (.f64 b (.f64 b b)))) (+.f64 (.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) (-.f64 (.f64 (.f64 b (.f64 b #s(literal 1/8 binary64))) (.f64 b (.f64 b #s(literal 1/8 binary64)))) (.f64 (/.f64 b #s(literal 2 binary64)) (.f64 b (*.f64 b #s(literal 1/8 binary64)))))))
(log.f64 b)

Outputs
(/.f64 b #s(literal 2 binary64))

Calls

2 calls:

4.0ms	a
4.0ms	b

Results

Accuracy	Segments	Branch
11.3%	1	`b`
11.3%	1	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.7075258970712616

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.7075258970712616

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.7075258970712616

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.7075258970712616

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch28.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-285668233612330.8	-0.345981046500349

Results

8.0ms	112×	0	valid
7.0ms	14×	2	valid
6.0ms	34×	1	valid

Compiler

Compiled 293 to 230 computations (21.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-exp: 6.0ms (44.2% of total)

ival-log: 6.0ms (44.2% of total)

ival-add: 1.0ms (7.4% of total)

backward-pass: 1.0ms (7.4% of total)

const: 0.0ms (0% of total)

bsearch46.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
42.0ms	-285668233612330.8	-0.345981046500349

Results

26.0ms	132×	1	valid
9.0ms	19×	2	valid
1.0ms	9×	0	valid

Compiler

Compiled 233 to 190 computations (18.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-log: 15.0ms (53.5% of total)

ival-exp: 9.0ms (32.1% of total)

ival-add: 2.0ms (7.1% of total)

backward-pass: 2.0ms (7.1% of total)

const: 0.0ms (0% of total)

bsearch44.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
42.0ms	-285668233612330.8	-0.345981046500349

Results

29.0ms	142×	1	valid
7.0ms	15×	2	valid
0.0ms	3×	0	valid

Compiler

Compiled 193 to 160 computations (17.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-log: 14.0ms (51.3% of total)

ival-exp: 10.0ms (36.7% of total)

ival-add: 2.0ms (7.3% of total)

backward-pass: 2.0ms (7.3% of total)

const: 0.0ms (0% of total)

bsearch62.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
46.0ms	-285668233612330.8	-0.345981046500349

Results

24.0ms	139×	1	valid
11.0ms	19×	2	valid
0.0ms	2×	0	valid

Compiler

Compiled 163 to 140 computations (14.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-exp: 11.0ms (42.5% of total)

ival-log: 11.0ms (42.5% of total)

ival-add: 2.0ms (7.7% of total)

backward-pass: 2.0ms (7.7% of total)

const: 0.0ms (0% of total)

bsearch44.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
42.0ms	-285668233612330.8	-0.345981046500349

Results

30.0ms	145×	1	valid
6.0ms	14×	2	valid
0.0ms	1×	0	valid

Compiler

Compiled 143 to 120 computations (16.1% saved)

Precisions

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

ival-exp: 10.0ms (43.3% of total)

ival-log: 9.0ms (39% of total)

ival-add: 2.0ms (8.7% of total)

backward-pass: 2.0ms (8.7% of total)

const: 0.0ms (0% of total)

bsearch51.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
49.0ms	-285668233612330.8	-0.345981046500349

Results

38.0ms	146×	1	valid
5.0ms	9×	2	valid
0.0ms	5×	0	valid

Compiler

Compiled 123 to 110 computations (10.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-exp: 14.0ms (52.8% of total)

ival-log: 9.0ms (33.9% of total)

ival-add: 2.0ms (7.5% of total)

backward-pass: 2.0ms (7.5% of total)

const: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

34×	`+-commutative_binary64`
22×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	192
1	100	192

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.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)))))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 a #s(literal -5854679515581645/2251799813685248 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64)))))))))
(if (<=.f64 a #s(literal -45 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))))
(if (<=.f64 a #s(literal -75 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))
(if (<=.f64 a #s(literal -150 binary64)) (/.f64 b #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))
(if (<=.f64 a #s(literal -150 binary64)) (/.f64 b #s(literal 2 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) b)))
(if (<=.f64 a #s(literal -145 binary64)) (/.f64 b #s(literal 2 binary64)) (log1p.f64 #s(literal 1 binary64)))
(/.f64 b #s(literal 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))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.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)))))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 (+.f64 (exp.f64 a) #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)))))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 (exp.f64 a) (+.f64 b #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 a #s(literal -5854679515581645/2251799813685248 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64)))))))))
(if (<=.f64 a #s(literal -5854679515581645/2251799813685248 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64)))))))))
(if (<=.f64 a #s(literal -45 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))))
(if (<=.f64 a #s(literal -45 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))))
(if (<=.f64 a #s(literal -75 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))
(if (<=.f64 a #s(literal -75 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -150 binary64)) (/.f64 b #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))
(if (<=.f64 a #s(literal -150 binary64)) (/.f64 b #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -150 binary64)) (/.f64 b #s(literal 2 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) b)))
(if (<=.f64 a #s(literal -150 binary64)) (/.f64 b #s(literal 2 binary64)) (log.f64 (+.f64 b #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -145 binary64)) (/.f64 b #s(literal 2 binary64)) (log1p.f64 #s(literal 1 binary64)))
(/.f64 b #s(literal 2 binary64))

soundness1.0s (8.8%)

Rules

5828×	`+-lowering-+.f64`
5828×	`+-lowering-+.f32`
4444×	`-lowering-.f32`
4444×	`-lowering-.f64`
4112×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	202	1635
1	626	1525
2	1976	1457
3	7369	1457
0	8091	1457
0	99	528
1	290	500
2	963	500
3	3322	498
0	8680	498
0	359	2487
1	1115	2243
2	4031	2220
0	8765	2220

Stop Event

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

Compiler

Compiled 596 to 363 computations (39.1% saved)

preprocess86.0ms (0.7%)

Compiler: Compiled 524 to 220 computations (58% saved)

Iter	Nodes	Cost
0	25	115
1	48	110
2	85	107
3	107	106
4	122	104
5	129	104
6	166	104
7	194	104
8	201	104
9	209	104
10	218	104
11	235	104
12	253	104
13	280	104
14	294	104
15	302	104
16	313	104
17	325	104
18	342	104
19	363	104
20	371	104
0	371	104

Iter	Nodes	Cost
0	25	115
1	48	110
2	85	107
3	107	106
4	122	104
5	129	104
6	166	104
7	194	104
8	201	104
9	209	104
10	218	104
11	235	104
12	253	104
13	280	104
14	294	104
15	302	104
16	313	104
17	325	104
18	342	104
19	363	104
20	371	104
0	371	104

analyze183.0ms (1.6%)

sample4.9s (41.7%)

preprocess17.0ms (0.1%)

explain131.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize74.0ms (0.6%)

series87.0ms (0.7%)

rewrite333.0ms (2.8%)

simplify263.0ms (2.2%)

eval29.0ms (0.2%)

prune43.0ms (0.4%)

simplify58.0ms (0.5%)

localize274.0ms (2.3%)

series248.0ms (2.1%)

rewrite355.0ms (3%)

simplify270.0ms (2.3%)

eval116.0ms (1%)

prune183.0ms (1.6%)

simplify50.0ms (0.4%)

localize103.0ms (0.9%)

series121.0ms (1%)

rewrite288.0ms (2.4%)

simplify184.0ms (1.6%)

eval105.0ms (0.9%)

prune85.0ms (0.7%)

simplify136.0ms (1.2%)

localize164.0ms (1.4%)

series156.0ms (1.3%)

rewrite347.0ms (3%)

simplify572.0ms (4.9%)

eval88.0ms (0.8%)

prune119.0ms (1%)

regimes67.0ms (0.6%)

regimes55.0ms (0.5%)

regimes19.0ms (0.2%)

regimes17.0ms (0.1%)

regimes18.0ms (0.1%)

regimes14.0ms (0.1%)

regimes15.0ms (0.1%)

regimes16.0ms (0.1%)

regimes15.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch28.0ms (0.2%)

bsearch46.0ms (0.4%)

bsearch44.0ms (0.4%)

bsearch62.0ms (0.5%)

bsearch44.0ms (0.4%)

bsearch51.0ms (0.4%)

simplify9.0ms (0.1%)

soundness1.0s (8.8%)

preprocess86.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	25	115
1	48	110
2	85	107
3	107	106
4	122	104
5	129	104
6	166	104
7	194	104
8	201	104
9	209	104
10	218	104
11	235	104
12	253	104
13	280	104
14	294	104
15	302	104
16	313	104
17	325	104
18	342	104
19	363	104
20	371	104
0	371	104