Metrics for symmetry log of sum of exp

analyze133.0ms (1.1%)

Memory

33.9MiB live, 189.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	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 8 to 8 computations (0% saved)

sample4.5s (37.5%)

Memory

105.2MiB live, 5 235.8MiB allocated

Samples

2.0s	6 811×	5	exit
766.0ms	1 482×	2	valid
468.0ms	2 354×	1	valid
311.0ms	4 420×	0	valid
89.0ms	926×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 2.9s

ival-exp: 1.1s (37.4% of total)

ival-log: 1.1s (37.2% of total)

adjust: 483.0ms (16.5% of total)

ival-add: 242.0ms (8.3% of total)

ival-true: 13.0ms (0.4% of total)

ival-assert: 6.0ms (0.2% of total)

Bogosity

preprocess19.0ms (0.2%)

Memory

-22.6MiB live, 22.7MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`sub-neg`
22×	`+-commutative`
16×	`exp-diff`
16×	`exp-sum`
14×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	32	36
2	46	36
3	55	36
4	66	36
5	83	36
6	98	36
7	106	36
8	109	36
0	6	6
0	10	6
1	11	6
0	11	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(sort a b)

explain183.0ms (1.5%)

Memory

10.6MiB live, 164.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
129	1	(-4.578851008046026e+67 -0.009099554260409181)	1	(-3.889220572445604 -1.1620523965440277e-26)	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
0	0	-	0	-	`(+.f64 (exp.f64 a) (exp.f64 b))`
0	0	-	0	-	`a`
0	0	-	0	-	`(exp.f64 b)`
0	0	-	0	-	`b`
0	0	-	0	-	`(exp.f64 a)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	sensitivity	124	1
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	oflow-rescue	3	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	3
↳	`(exp.f64 b)`	overflow	3
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	uflow-rescue	2	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	underflow	2
↳	`(exp.f64 a)`	underflow	128
↳	`(exp.f64 b)`	underflow	2

Confusion

	Predicted +	Predicted -
+	128	1
-	1	126

Precision

0.9922480620155039

Recall

0.9922480620155039

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	128	1	0
-	1	0	126

Precision?

0.9923076923076923

Recall?

1.0

Freqs

test

number	freq
0	127
1	129

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

68.0ms	148×	1	valid
52.0ms	96×	2	valid
18.0ms	268×	0	valid

Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-exp: 68.0ms (57.8% of total)

ival-log: 41.0ms (34.8% of total)

adjust: 5.0ms (4.2% of total)

ival-add: 4.0ms (3.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

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×	`lift-exp.f64`
4×	`lower-+.f32`
4×	`lower-exp.f32`
2×	`lift-+.f64`
2×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	17
1	11	17
0	11	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize55.0ms (0.5%)

Memory

1.9MiB live, 79.2MiB allocated

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	53.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

23.0ms	48×	2	valid
16.0ms	74×	1	valid
8.0ms	134×	0	valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-log: 19.0ms (52.3% of total)

ival-exp: 12.0ms (33% of total)

adjust: 2.0ms (5.5% of total)

ival-add: 2.0ms (5.5% of total)

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

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

series88.0ms (0.7%)

Memory

6.3MiB live, 128.5MiB allocated

Counts

4 → 72

Calls

Call 1

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

Outputs
#<alt (log (+ 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
29.0ms	a	@	inf	(log (+ (exp a) (exp b)))
25.0ms	a	@	-inf	(log (+ (exp a) (exp b)))
17.0ms	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)))

rewrite102.0ms (0.9%)

Memory

-16.6MiB live, 136.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

812×	`lower-*.f64`
812×	`lower-*.f32`
800×	`lower-fma.f64`
800×	`lower-fma.f32`
614×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	10	15
1	24	15
2	150	15
0	1409	15

Stop Event

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

Counts

4 → 77

Calls

Call 1

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

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

simplify478.0ms (4%)

Memory

21.1MiB live, 624.6MiB allocated

Algorithm

1×	egg-herbie

Rules

18 508×	`lower-fma.f64`
18 508×	`lower-fma.f32`
5 052×	`lower-+.f64`
5 052×	`lower-+.f32`
4 904×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	564
1	274	564
2	757	556
3	2515	548
0	8549	500

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

eval17.0ms (0.1%)

Memory: -10.6MiB live, 27.5MiB allocated
Compiler: Compiled 2 882 to 386 computations (86.6% saved)

prune19.0ms (0.2%)

Memory

-0.0MiB live, 39.0MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	139	10	149
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	139	11	150

Accuracy

99.4%

Counts

150 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.6%	(-.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 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
▶	99.3%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
	53.1%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
	49.5%	(log1p.f64 (exp.f64 b))
▶	51.6%	(log1p.f64 (exp.f64 a))
▶	52.4%	(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
	52.3%	(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
▶	52.2%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	53.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	51.2%	(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶	49.5%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))

Compiler

Compiled 234 to 172 computations (26.5% saved)

simplify28.0ms (0.2%)

Memory

-0.7MiB live, 37.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	cost-diff	192	(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
✓	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	192	(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	192	(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

916×	`lower-fma.f32`
910×	`lower-fma.f64`
396×	`lower-+.f32`
384×	`lower-+.f64`
274×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	123
0	40	123
1	70	123
2	128	123
3	247	123
4	383	123
5	540	123
6	540	123
0	540	117

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize163.0ms (1.4%)

Memory

15.7MiB live, 168.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	accuracy	55.0%	(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
✓	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	55.0%	(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%	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))
✓	accuracy	100.0%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))

Samples

57.0ms	74×	1	valid
46.0ms	48×	2	valid
26.0ms	131×	0	valid
1.0ms	3×	0	invalid

Compiler

Compiled 143 to 26 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-log: 34.0ms (32.2% of total)

ival-log1p: 28.0ms (26.5% of total)

ival-add: 15.0ms (14.2% of total)

adjust: 11.0ms (10.4% of total)

ival-mult: 6.0ms (5.7% of total)

ival-exp: 5.0ms (4.7% of total)

const: 4.0ms (3.8% of total)

ival-div: 2.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series265.0ms (2.2%)

Memory

14.3MiB live, 287.4MiB allocated

Counts

15 → 252

Calls

Call 1

Inputs
#<alt (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))>
#<alt (log1p.f64 (exp.f64 a))>
#<alt (exp.f64 a)>
#<alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 b))>
#<alt (exp.f64 b)>
#<alt (log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))>
#<alt (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 #s(literal 1 binary64) b)>
#<alt (log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))>
#<alt (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 a))>
#<alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))>

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 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* 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))))))>
#<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) (/ 1 (pow b 2)))) 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 1/2>
#<alt (+ 1/2 (* 1/6 b))>
#<alt (+ 1/2 (* 1/6 b))>
#<alt (+ 1/2 (* 1/6 b))>
#<alt (* 1/6 b)>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* 1/6 b)>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>

Calls

63 calls:

Time	Variable		Point	Expression
67.0ms	a	@	inf	(log (+ (exp a) (+ 1 b)))
37.0ms	a	@	inf	(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
33.0ms	a	@	-inf	(log (+ (exp a) (+ 1 b)))
23.0ms	a	@	-inf	(log (+ (exp a) (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 1)))
19.0ms	a	@	inf	(log (+ (exp a) (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 1)))

rewrite319.0ms (2.7%)

Memory

11.5MiB live, 514.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 488×	`lower-fma.f32`
4 482×	`lower-fma.f64`
4 390×	`lower-/.f32`
4 388×	`lower-/.f64`
3 808×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	93
0	40	93
1	175	93
2	1529	93
0	8330	87

Stop Event

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

Counts

15 → 537

Calls

Call 1

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

Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (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 (exp.f64 a) #s(literal 1 binary64))))) (/.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))))
(fma.f64 b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
(fma.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (log1p.f64 (exp.f64 a)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b))) (log1p.f64 (exp.f64 a)))
(fma.f64 (neg.f64 (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) b (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.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 (+.f64 a a)))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 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 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #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 (exp.f64 a) #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (-.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (log1p.f64 (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 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (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 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #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 (exp.f64 a) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (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 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #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 (exp.f64 a) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
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(*.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (fma.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal 1 binary64)) (fma.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b))))
(.f64 (fma.f64 (fma.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b))) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)))))
(.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (neg.f64 (fma.f64 (fma.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal 1 binary64)) (fma.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)))))
(.f64 (neg.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b))))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64)))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))))
(/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (+.f64 a a)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (expm1.f64 a)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))
(+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))) (/.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (.f64 b #s(literal 1/12 binary64)))) (fma.f64 (.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 b b) #s(literal 1/36 binary64)))))
(/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64))))
(/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (*.f64 b #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (*.f64 b #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 (*.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))))
(.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (.f64 b #s(literal 1/12 binary64))))))
(.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))

simplify322.0ms (2.7%)

Memory

-3.2MiB live, 437.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 628×	`lower-fma.f64`
8 628×	`lower-fma.f32`
5 772×	`lower-+.f64`
5 772×	`lower-+.f32`
4 666×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	369	2618
1	1063	2569
2	3218	2516
0	8160	2161

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 248

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)))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* 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))))))
(* 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) (/ 1 (pow b 2)))) 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))
1/2
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))

Outputs
(+ (log 2) (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(fma.f64 #s(literal 1/2 binary64) b (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 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)))))
(fma.f64 a (fma.f64 a (fma.f64 (*.f64 b a) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 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)))
(fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64) (/.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 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(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))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(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)))
(/ 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 (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 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))))
(fma.f64 a (fma.f64 a (.f64 (.f64 b a) #s(literal 1/48 binary64)) (.f64 b #s(literal -1/4 binary64))) (.f64 #s(literal 1/2 binary64) b))
(/ 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 b))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
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(+.f64 (+.f64 (log.f64 #s(literal 1/6 binary64)) (fma.f64 #s(literal 3 binary64) (log.f64 b) (/.f64 #s(literal 3 binary64) b))) (/.f64 #s(literal 3/2 binary64) (*.f64 b b)))
(+ (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))))))
(+.f64 (log.f64 #s(literal 1/6 binary64)) (+.f64 (fma.f64 (fma.f64 (exp.f64 a) #s(literal 36 binary64) #s(literal -18 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 b (.f64 b b))) (/.f64 #s(literal 3 binary64) b)) (fma.f64 #s(literal 3 binary64) (log.f64 b) (/.f64 #s(literal 3/2 binary64) (*.f64 b b)))))
(+ (log -1/6) (* -3 (log (/ -1 b))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal -3 binary64) (log.f64 #s(literal -1/6 binary64)))
(+ (log -1/6) (+ (* -3 (log (/ -1 b))) (* 3 (/ 1 b))))
(+.f64 (/.f64 #s(literal 3 binary64) b) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal -3 binary64) (log.f64 #s(literal -1/6 binary64))))
(+ (log -1/6) (+ (* -3 (log (/ -1 b))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 3 binary64) b) (/.f64 #s(literal 3/2 binary64) (*.f64 b b))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal -3 binary64) (log.f64 #s(literal -1/6 binary64))))
(+ (log -1/6) (+ (* -3 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (+ 3/2 (* -1/6 (/ (+ 54 (* -36 (+ 1 (exp a)))) b))) b)) 3) b))))
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal -3 binary64) (log.f64 #s(literal -1/6 binary64))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 18 binary64) (*.f64 (exp.f64 a) #s(literal -36 binary64))) (/.f64 #s(literal -1/6 binary64) b) #s(literal 3/2 binary64)) b)) b))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) a))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(+ 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) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(* 1/6 (pow b 3))
(.f64 #s(literal 1/6 binary64) (.f64 b (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal 1/2 binary64)))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (+ (/ 1 (pow b 3)) (/ (exp a) (pow b 3)))))))
(fma.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 (.f64 b (.f64 b b)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (exp.f64 a) (.f64 b (.f64 b b)))) #s(literal 1 binary64)))
(* 1/6 (pow b 3))
(.f64 #s(literal 1/6 binary64) (.f64 b (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))) b)) 1/6)))
(.f64 (.f64 b (*.f64 b b)) (neg.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b)) b)) b))))
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 b #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow b 3))
(.f64 #s(literal 1/6 binary64) (.f64 b (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal 1/2 binary64)))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (/ 1 (pow b 3))))))
(fma.f64 (.f64 b b) (fma.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 b b))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow b 3))
(.f64 #s(literal 1/6 binary64) (.f64 b (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))) b)) 1/6)))
(.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal -1 binary64) (.f64 b b))) b)) (neg.f64 (.f64 b (.f64 b b))))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 b))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 b))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 b))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))

eval110.0ms (0.9%)

Memory: 28.5MiB live, 181.6MiB allocated
Compiler: Compiled 22 906 to 2 358 computations (89.7% saved)

prune130.0ms (1.1%)

Memory

-25.4MiB live, 137.7MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	858	13	871
Fresh	5	0	5
Picked	4	1	5
Done	1	0	1
Total	868	14	882

Accuracy

99.4%

Counts

882 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.8%	(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
▶	49.0%	(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	49.9%	(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
	49.0%	(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
▶	66.8%	(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #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 (exp.f64 a) #s(literal 1 binary64)))))))
	52.7%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
	49.4%	(+.f64 (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))))
	63.5%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))))
▶	47.7%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
✓	51.6%	(log1p.f64 (exp.f64 a))
	49.1%	(log1p.f64 #s(literal 1 binary64))
▶	52.0%	(log.f64 (fma.f64 b (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b)) b))
	49.6%	(log.f64 (+.f64 #s(literal 2 binary64) b))
▶	1.4%	(log.f64 b)

Compiler

Compiled 317 to 220 computations (30.6% saved)

simplify480.0ms (4%)

Memory

9.1MiB live, 201.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b)
✓	cost-diff	128	(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b))
✓	cost-diff	192	(log.f64 (fma.f64 b (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b)) b))
✓	cost-diff	896	(fma.f64 b (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b)) b)
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	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	(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
✓	cost-diff	0	(+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)))
✓	cost-diff	0	(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #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 (exp.f64 a) #s(literal 1 binary64)))))))
✓	cost-diff	6464	(-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))

Rules

8 532×	`lower-fma.f32`
8 524×	`lower-fma.f64`
2 822×	`lower-*.f32`
2 818×	`lower-*.f64`
1 454×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	228
0	65	228
1	120	222
2	224	219
3	477	213
4	1184	213
5	4828	213
6	7726	213
0	8294	209

Stop Event

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

Calls

Call 1

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

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

localize223.0ms (1.9%)

Memory

18.7MiB live, 99.2MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b)
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(log.f64 (fma.f64 b (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b)) b))
✓	accuracy	99.9%	(fma.f64 b (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b)) b)
✓	accuracy	100.0%	(fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	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%	(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #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 (exp.f64 a) #s(literal 1 binary64)))))))
✓	accuracy	99.9%	(*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 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))

Samples

71.0ms	98×	0	valid
43.0ms	158×	0	invalid

Compiler

Compiled 263 to 40 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 9.0ms (17.5% of total)

ival-log: 9.0ms (17.5% of total)

ival-add: 8.0ms (15.6% of total)

ival-pow: 8.0ms (15.6% of total)

ival-div: 5.0ms (9.7% of total)

ival-log1p: 5.0ms (9.7% of total)

ival-exp: 2.0ms (3.9% of total)

ival-sub: 2.0ms (3.9% of total)

ival-pow2: 2.0ms (3.9% of total)

exact: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

series533.0ms (4.5%)

Memory

-27.8MiB live, 250.5MiB allocated

Counts

17 → 288

Calls

Call 1

Inputs
#<alt (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))>
#<alt (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #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 (exp.f64 a) #s(literal 1 binary64)))))))>
#<alt (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)))>
#<alt (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))>
#<alt (log.f64 b)>
#<alt (log1p.f64 (+.f64 a #s(literal 1 binary64)))>
#<alt (+.f64 a #s(literal 1 binary64))>
#<alt (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))>
#<alt (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (fma.f64 b (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b)) b)>
#<alt (log.f64 (fma.f64 b (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b)) b))>
#<alt (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b))>
#<alt (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b)>
#<alt (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))>
#<alt (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))>
#<alt (-.f64 #s(literal -1 binary64) (exp.f64 a))>

Outputs
#<alt (- (pow (log 2) 2) (* 1/2 (* b (log 2))))>
#<alt (- (+ (* a (- (+ (log 2) (* 1/4 (* b (log 2)))) (* 1/4 b))) (pow (log 2) 2)) (* 1/2 (* b (log 2))))>
#<alt (- (+ (* a (- (+ (log 2) (+ (* 1/4 (* b (log 2))) (* a (- (+ 1/4 (+ (* 1/8 (* b (log 2))) (+ (* 1/4 (log 2)) (* 1/2 (- (* 1/4 b) (* 1/4 (* b (log 2)))))))) (* 1/16 b))))) (* 1/4 b))) (pow (log 2) 2)) (* 1/2 (* b (log 2))))>
#<alt (- (+ (* a (- (+ (log 2) (+ (* 1/4 (* b (log 2))) (* a (- (+ 1/4 (+ (* 1/8 (* b (log 2))) (+ (* 1/4 (log 2)) (+ (* 1/2 (- (* 1/4 b) (* 1/4 (* b (log 2))))) (* a (+ 1/8 (+ (* 1/24 (* b (log 2))) (+ (* 1/4 (- (* 1/4 b) (* 1/4 (* b (log 2))))) (* 1/2 (- (* 1/16 b) (+ (* 1/8 (* b (log 2))) (* 1/2 (- (* 1/4 b) (* 1/4 (* b (log 2)))))))))))))))) (* 1/16 b))))) (* 1/4 b))) (pow (log 2) 2)) (* 1/2 (* b (log 2))))>
#<alt (- (pow (log (+ 1 (exp a))) 2) (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a))))>
#<alt (- (pow (log (+ 1 (exp a))) 2) (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a))))>
#<alt (- (pow (log (+ 1 (exp a))) 2) (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a))))>
#<alt (- (pow (log (+ 1 (exp a))) 2) (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a))))>
#<alt (- (pow (log (+ 1 (exp a))) 2) (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a))))>
#<alt (- (pow (log (+ 1 (exp a))) 2) (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a))))>
#<alt (- (pow (log (+ 1 (exp a))) 2) (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a))))>
#<alt (- (pow (log (+ 1 (exp a))) 2) (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a))))>
#<alt (pow (log (+ 1 (exp a))) 2)>
#<alt (+ (* -1 (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))) (pow (log (+ 1 (exp a))) 2))>
#<alt (+ (* -1 (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))) (pow (log (+ 1 (exp a))) 2))>
#<alt (+ (* -1 (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))) (pow (log (+ 1 (exp a))) 2))>
#<alt (* -1 (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a))))>
#<alt (* b (- (/ (pow (log (+ 1 (exp a))) 2) b) (/ (log (+ 1 (exp a))) (+ 1 (exp a)))))>
#<alt (* b (- (/ (pow (log (+ 1 (exp a))) 2) b) (/ (log (+ 1 (exp a))) (+ 1 (exp a)))))>
#<alt (* b (- (/ (pow (log (+ 1 (exp a))) 2) b) (/ (log (+ 1 (exp a))) (+ 1 (exp a)))))>
#<alt (* -1 (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a))))>
#<alt (* -1 (* b (- (* -1 (/ (pow (log (+ 1 (exp a))) 2) b)) (* -1 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))))))>
#<alt (* -1 (* b (- (* -1 (/ (pow (log (+ 1 (exp a))) 2) b)) (* -1 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))))))>
#<alt (* -1 (* b (- (* -1 (/ (pow (log (+ 1 (exp a))) 2) b)) (* -1 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))))))>
#<alt (/ (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))>
#<alt (+ (* 1/8 (/ (pow b 3) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))) (/ (pow (log 2) 2) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))) (+ (* 3/16 (/ (pow b 3) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* 1/4 (* b (log 2)))) (+ (* 1/4 b) (* 1/4 (pow b 2))))) (pow (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))) 2))))) (/ (pow (log 2) 3) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))))>
#<alt (+ (* 1/8 (/ (pow b 3) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))) (+ (* a (- (+ (* 1/8 (/ (pow (log 2) 2) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))) (+ (* 1/2 (/ (log 2) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2))))))) (+ (* -9/32 (/ (pow b 3) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))) (+ (* 3/16 (/ (pow b 3) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ 1/4 (+ (* 1/8 (* b (log 2))) (+ (* 1/4 (log 2)) (* 1/2 (- (* 1/4 b) (* 1/4 (* b (log 2)))))))) (+ (* -1/4 (pow b 2)) (+ (* 1/16 b) (* 3/16 (pow b 2)))))) (pow (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))) 2)) (/ (* (- (+ (log 2) (* 1/4 (* b (log 2)))) (+ (* 1/4 b) (* 1/4 (pow b 2)))) (- (+ (* 1/2 (/ (pow (log 2) 2) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))) (/ (pow (log 2) 2) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))) (+ (* 3/16 (/ (pow b 3) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* 1/4 (* b (log 2)))) (+ (* 1/4 b) (* 1/4 (pow b 2))))) (pow (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))) 2))))) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))))))) (/ (pow (log 2) 2) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2))))))) (+ (* 3/16 (/ (pow b 3) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* 1/4 (* b (log 2)))) (+ (* 1/4 b) (* 1/4 (pow b 2))))) (pow (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))) 2))))) (/ (pow (log 2) 3) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))))>
#<alt (+ (* 1/8 (/ (pow b 3) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))) (+ (* a (- (+ (* 1/8 (/ (pow (log 2) 2) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))) (+ (* 1/2 (/ (log 2) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))) (+ (* a (- (+ (* 1/4 (/ (log 2) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))) (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2))))))) (+ (* -3/2 (/ (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))) (+ (* -9/32 (/ (pow b 3) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))) (+ (* 9/64 (/ (pow b 3) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ 1/8 (+ (* 1/24 (* b (log 2))) (+ (* 1/4 (- (* 1/4 b) (* 1/4 (* b (log 2))))) (* 1/2 (- (* 1/16 b) (+ (* 1/8 (* b (log 2))) (* 1/2 (- (* 1/4 b) (* 1/4 (* b (log 2))))))))))) (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2)))))) (pow (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))) 2)) (+ (/ (* (- (+ 1/4 (+ (* 1/8 (* b (log 2))) (+ (* 1/4 (log 2)) (* 1/2 (- (* 1/4 b) (* 1/4 (* b (log 2)))))))) (+ (* -1/4 (pow b 2)) (+ (* 1/16 b) (* 3/16 (pow b 2))))) (- (+ (* 1/2 (/ (pow (log 2) 2) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))) (/ (pow (log 2) 2) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))) (+ (* 3/16 (/ (pow b 3) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* 1/4 (* b (log 2)))) (+ (* 1/4 b) (* 1/4 (pow b 2))))) (pow (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2)))) 2))))) (- (+ (* 1/4 (pow b 2)) (pow (log 2) 2)) (* 1/2 (* b (log 2))))) (/ (* (- 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#<alt (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))>
#<alt (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))>
#<alt (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))>
#<alt (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))>
#<alt (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))>
#<alt (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))>
#<alt (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))>
#<alt (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))>
#<alt (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))>
#<alt (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))>
#<alt (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))>
#<alt (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))>
#<alt (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))>
#<alt -2>
#<alt (- (* -1 a) 2)>
#<alt (- (* a (- (* -1/2 a) 1)) 2)>
#<alt (- (* a (- (* a (- (* -1/6 a) 1/2)) 1)) 2)>
#<alt (* -1 (+ 1 (exp a)))>
#<alt (* -1 (+ 1 (exp a)))>
#<alt (* -1 (+ 1 (exp a)))>
#<alt (* -1 (+ 1 (exp a)))>
#<alt (* -1 (+ 1 (exp a)))>
#<alt (* -1 (+ 1 (exp a)))>
#<alt (* -1 (+ 1 (exp a)))>
#<alt (* -1 (+ 1 (exp a)))>

Calls

72 calls:

Time	Variable		Point	Expression
76.0ms	a	@	inf	(- (pow (log (+ 1 (exp a))) 2) (* (log (+ 1 (exp a))) (/ b (+ (exp a) 1))))
70.0ms	a	@	-inf	(/ (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ (exp a) 1)) 3)) (+ (* (* b b) (pow (+ (exp a) 1) -2)) (- (pow (log (+ 1 (exp a))) 2) (* (log (+ 1 (exp a))) (/ b (+ (exp a) 1))))))
69.0ms	b	@	0	(+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ (exp a) 1)) 3))
45.0ms	a	@	-inf	(* (log (+ 1 (exp a))) (/ b (+ (exp a) 1)))
19.0ms	b	@	0	(* (log (+ 1 (exp a))) (/ b (+ (exp a) 1)))

rewrite343.0ms (2.9%)

Memory

24.5MiB live, 254.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 000×	`lower-*.f32`
4 996×	`lower-*.f64`
4 112×	`lower-fma.f32`
4 104×	`lower-fma.f64`
2 922×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	152
0	65	152
1	286	116
2	2410	116
0	8257	116

Stop Event

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

Counts

17 → 363

Calls

Call 1

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

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

simplify383.0ms (3.2%)

Memory

20.1MiB live, 449.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 560×	`lower-fma.f64`
10 560×	`lower-fma.f32`
4 680×	`lower-*.f64`
4 680×	`lower-*.f32`
4 394×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	551	5669
1	1707	5227
2	5695	5136
0	8381	4544

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 284

Calls

Call 1

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

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

eval85.0ms (0.7%)

Memory: 13.9MiB live, 167.1MiB allocated
Compiler: Compiled 19 073 to 1 729 computations (90.9% saved)

prune72.0ms (0.6%)

Memory

-27.8MiB live, 170.6MiB allocated

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	639	8	647
Fresh	2	6	8
Picked	2	3	5
Done	0	1	1
Total	643	18	661

Accuracy

99.4%

Counts

661 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.0%	(fma.f64 (*.f64 a #s(literal 1/8 binary64)) a (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
	63.5%	(fma.f64 (exp.f64 (log.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
▶	48.8%	(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	49.0%	(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
▶	49.0%	(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
	49.9%	(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
	18.6%	(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 b (/.f64 (log1p.f64 (exp.f64 a)) (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
	52.7%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
	49.4%	(+.f64 (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))))
	2.5%	(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
▶	3.3%	(.f64 a (.f64 a #s(literal 1/8 binary64)))
✓	47.7%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
✓	51.6%	(log1p.f64 (exp.f64 a))
	49.1%	(log1p.f64 #s(literal 1 binary64))
	47.7%	(log.f64 (+.f64 a #s(literal 2 binary64)))
▶	49.6%	(log.f64 (+.f64 #s(literal 2 binary64) b))
✓	1.4%	(log.f64 b)
▶	75.2%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))) #s(literal -1 binary64)))

Compiler

Compiled 359 to 258 computations (28.1% saved)

simplify17.0ms (0.1%)

Memory

25.7MiB live, 25.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 a #s(literal -1/192 binary64))
✓	cost-diff	0	(fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
✓	cost-diff	0	(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) b)
✓	cost-diff	0	(log.f64 (+.f64 #s(literal 2 binary64) b))
✓	cost-diff	0	(*.f64 a #s(literal 1/8 binary64))
✓	cost-diff	0	(.f64 a (.f64 a #s(literal 1/8 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
✓	cost-diff	448	(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))) #s(literal -1 binary64))
✓	cost-diff	576	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))))
✓	cost-diff	12800	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))) #s(literal -1 binary64)))

Rules

340×	`lower-fma.f32`
332×	`lower-fma.f64`
148×	`lower-+.f32`
142×	`lower-+.f64`
136×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	152
0	51	152
1	86	151
2	130	141
3	197	141
4	263	141
5	296	141
6	301	141
7	306	141
8	306	141
0	306	141

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))) #s(literal -1 binary64))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))))
(neg.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (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)))))
#s(literal 1 binary64)
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
b
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(literal -1 binary64)
(.f64 a (.f64 a #s(literal 1/8 binary64)))
a
(*.f64 a #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) b)
(+.f64 b #s(literal 2 binary64))
#s(literal 2 binary64)
b
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
a
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
a
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(*.f64 a #s(literal -1/192 binary64))
#s(literal -1/192 binary64)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

localize93.0ms (0.8%)

Memory

-17.9MiB live, 178.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
✓	accuracy	99.6%	(*.f64 a #s(literal -1/192 binary64))
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) b)
✓	accuracy	100.0%	(log.f64 (+.f64 #s(literal 2 binary64) b))
✓	accuracy	100.0%	(.f64 a (.f64 a #s(literal 1/8 binary64)))
✓	accuracy	100.0%	(*.f64 a #s(literal 1/8 binary64))
✓	accuracy	100.0%	(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
✓	accuracy	99.3%	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))))
✓	accuracy	97.3%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))) #s(literal -1 binary64)))

Samples

50.0ms	201×	0	valid
12.0ms	55×	0	invalid

Compiler

Compiled 173 to 33 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 14.0ms (32.1% of total)

ival-log: 8.0ms (18.3% of total)

ival-add: 7.0ms (16% of total)

ival-exp: 4.0ms (9.2% of total)

const: 4.0ms (9.2% of total)

ival-div: 3.0ms (6.9% of total)

ival-log1p: 3.0ms (6.9% of total)

exact: 1.0ms (2.3% of total)

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

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

series257.0ms (2.1%)

Memory

28.0MiB live, 465.9MiB allocated

Counts

15 → 228

Calls

Call 1

Inputs
#<alt (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))) #s(literal -1 binary64)))>
#<alt (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))))>
#<alt (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))) #s(literal -1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))>
#<alt (.f64 a (.f64 a #s(literal 1/8 binary64)))>
#<alt (*.f64 a #s(literal 1/8 binary64))>
#<alt (log.f64 (+.f64 #s(literal 2 binary64) b))>
#<alt (+.f64 #s(literal 2 binary64) b)>
#<alt (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))>
#<alt (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))>
#<alt (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))>
#<alt (*.f64 a #s(literal -1/192 binary64))>
#<alt (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))>

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

Calls

57 calls:

Time	Variable		Point	Expression
100.0ms	a	@	-inf	(+ (* a (+ (* a (+ (* a (* a -1/192)) 1/8)) 1/2)) (log 2))
31.0ms	a	@	-inf	(log (/ 1 (+ (log (+ 1 (exp a))) (/ b (+ (exp a) 1)))))
29.0ms	a	@	inf	(log (/ 1 (+ (log (+ 1 (exp a))) (/ b (+ (exp a) 1)))))
17.0ms	a	@	inf	(* (log (/ 1 (+ (log (+ 1 (exp a))) (/ b (+ (exp a) 1))))) -1)
14.0ms	a	@	-inf	(* (log (/ 1 (+ (log (+ 1 (exp a))) (/ b (+ (exp a) 1))))) -1)

rewrite306.0ms (2.6%)

Memory

-2.7MiB live, 584.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 398×	`lower-fma.f32`
5 390×	`lower-fma.f64`
4 024×	`lower-/.f32`
4 020×	`lower-/.f64`
3 628×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	115
0	51	111
1	198	106
2	1392	104
0	8240	104

Stop Event

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

Counts

15 → 433

Calls

Call 1

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

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 (.f64 (.f64 b b) (pow.f64 (+.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)))))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal 1/36864 binary64))) (.f64 (.f64 a a) #s(literal -1/1536 binary64)))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (*.f64 a a)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a))) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal 1/36864 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64)) (-.f64 (fma.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal 1/36864 binary64)) #s(literal 1/64 binary64)) (.f64 (.f64 a a) #s(literal -1/1536 binary64))))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal 1/36864 binary64))) (.f64 (*.f64 a a) #s(literal -1/1536 binary64)))))
(/.f64 (fma.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal 1/36864 binary64)) #s(literal -1/64 binary64)) (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal 1/36864 binary64)) #s(literal 1/64 binary64)) (.f64 (.f64 a a) #s(literal -1/1536 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal 1/36864 binary64))) (.f64 (*.f64 a a) #s(literal -1/1536 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal 1/36864 binary64)) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal 1/36864 binary64)))) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal 1/36864 binary64))) (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64))) (.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64)) #s(literal 1/64 binary64))) (.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64)) (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal 1/36864 binary64)) #s(literal 1/64 binary64)) (.f64 (.f64 a a) #s(literal -1/1536 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal 1/36864 binary64)) #s(literal -1/64 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal 1/36864 binary64))))) (neg.f64 (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal 1/36864 binary64))) (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal 1/36864 binary64))) (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64))) (/.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal 1/36864 binary64))) (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64))) (fma.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64))) (.f64 (/.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal 1/36864 binary64))) (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal 1/36864 binary64))) (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64))) (/.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal 1/36864 binary64))) (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64)))) (.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64))))) (+.f64 (/.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal 1/36864 binary64))) (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal 1/8 binary64)))
(.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal 1/36864 binary64)) #s(literal 1/64 binary64)) (.f64 (*.f64 a a) #s(literal -1/1536 binary64)))))
(.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal 1/36864 binary64))) (.f64 (.f64 a a) #s(literal -1/1536 binary64))))))
(.f64 (fma.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal 1/36864 binary64)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/7077888 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal 1/36864 binary64)) #s(literal 1/64 binary64)) (.f64 (*.f64 a a) #s(literal -1/1536 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal 1/36864 binary64)) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64)))))
(.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal 1/36864 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 a a)))))
(*.f64 a #s(literal -1/192 binary64))
(*.f64 #s(literal -1/192 binary64) a)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64)))
(-.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))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.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) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(/.f64 (neg.f64 b) (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(pow.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 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))
(*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
(.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))
(.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))))
(.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(*.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (expm1.f64 a))
(*.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 a))))
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(*.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)))

simplify599.0ms (5%)

Memory

-26.8MiB live, 396.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 468×	`lower-fma.f64`
8 468×	`lower-fma.f32`
4 780×	`lower-*.f64`
4 780×	`lower-*.f32`
3 252×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	457	4541
1	1402	4173
2	5044	4080
0	8249	3597

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 226

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

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

eval85.0ms (0.7%)

Memory: 9.0MiB live, 166.3MiB allocated
Compiler: Compiled 17 775 to 1 896 computations (89.3% saved)

prune80.0ms (0.7%)

Memory

-15.2MiB live, 142.0MiB allocated

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	655	5	660
Fresh	0	9	9
Picked	1	4	5
Done	0	4	4
Total	656	22	678

Accuracy

99.4%

Counts

678 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.0%	(fma.f64 (*.f64 a #s(literal 1/8 binary64)) a (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
	63.5%	(fma.f64 (exp.f64 (log.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
✓	48.8%	(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	49.0%	(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	49.0%	(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
	49.9%	(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
	18.6%	(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 b (/.f64 (log1p.f64 (exp.f64 a)) (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
	52.7%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
	49.4%	(+.f64 (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))))
	2.2%	(.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))
	2.5%	(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
✓	3.3%	(.f64 a (.f64 a #s(literal 1/8 binary64)))
	2.6%	(*.f64 #s(literal 1/2 binary64) a)
✓	47.7%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
✓	51.6%	(log1p.f64 (exp.f64 a))
	49.1%	(log1p.f64 #s(literal 1 binary64))
	47.7%	(log.f64 (+.f64 a #s(literal 2 binary64)))
✓	49.6%	(log.f64 (+.f64 #s(literal 2 binary64) b))
✓	1.4%	(log.f64 b)
	27.2%	(exp.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -1 binary64)) (log.f64 b)))
	26.0%	(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (neg.f64 b))) #s(literal -1 binary64)))
	49.6%	(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))

Compiler

Compiled 635 to 314 computations (50.6% saved)

regimes58.0ms (0.5%)

Memory

33.8MiB live, 74.9MiB allocated

Counts

37 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) a)
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))
(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)))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(fma.f64 (*.f64 a #s(literal 1/8 binary64)) a (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 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) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (fma.f64 b (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b)) b))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(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))))
(fma.f64 (exp.f64 (log.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -1 binary64)) (log.f64 b)))
(+.f64 (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(-.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 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (neg.f64 b))) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 b (/.f64 (log1p.f64 (exp.f64 a)) (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #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 (exp.f64 a) #s(literal 1 binary64)))))))

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

Calls

6 calls:

11.0ms	b
11.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
10.0ms	a
8.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
8.0ms	(exp.f64 b)

Results

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes45.0ms (0.4%)

Memory

-17.7MiB live, 59.1MiB allocated

Counts

27 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) a)
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))
(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)))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(fma.f64 (*.f64 a #s(literal 1/8 binary64)) a (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 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) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (fma.f64 b (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b)) b))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(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 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))

Calls

6 calls:

9.0ms	b
8.0ms	a
8.0ms	(exp.f64 b)
6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
98.9%	2	`a`
66.0%	2	`b`
98.4%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.4%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.9%	2	`(exp.f64 a)`
53.1%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes13.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated

Counts

22 → 2

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	a
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.9%	2	`a`
98.9%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes14.0ms (0.1%)

Memory

-21.3MiB live, 17.2MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) a)
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))
(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)))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(fma.f64 (*.f64 a #s(literal 1/8 binary64)) a (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 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:

7.0ms	a
6.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.9%	2	`a`
98.9%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes12.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) a)
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))
(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)))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(fma.f64 (*.f64 a #s(literal 1/8 binary64)) a (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 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:

6.0ms	a
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.8%	2	`a`
98.8%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes23.0ms (0.2%)

Memory

-18.7MiB live, 25.3MiB allocated

Counts

16 → 2

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	a
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.5%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
97.5%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
97.9%	2	`a`
97.9%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes9.0ms (0.1%)

Memory

14.0MiB live, 14.1MiB allocated

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	a
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.9%	2	`a`
97.9%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes25.0ms (0.2%)

Memory

-2.2MiB live, 36.3MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	a
4.0ms	b
4.0ms	(exp.f64 a)
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
49.9%	1	`(exp.f64 b)`
49.9%	1	`b`
49.9%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
49.9%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
49.9%	1	`a`
49.9%	1	`(exp.f64 a)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes21.0ms (0.2%)

Memory

-8.4MiB live, 30.2MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms	a
4.0ms	b
3.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
49.6%	1	`a`
49.6%	1	`(exp.f64 b)`
49.6%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
49.6%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
49.6%	1	`(exp.f64 a)`
49.6%	1	`b`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes14.0ms (0.1%)

Memory

23.5MiB live, 23.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs
(log1p.f64 #s(literal 1 binary64))

Calls

6 calls:

3.0ms	b
3.0ms	a
2.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
2.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
49.1%	1	`a`
49.1%	1	`(exp.f64 b)`
49.1%	1	`b`
49.1%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
49.1%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
49.1%	1	`(exp.f64 a)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes14.0ms (0.1%)

Memory

-16.7MiB live, 22.1MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
(.f64 a (.f64 a #s(literal 1/8 binary64)))

Calls

6 calls:

3.0ms	b
2.0ms	a
2.0ms	(exp.f64 a)
2.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
3.3%	1	`(exp.f64 b)`
3.3%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
3.3%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
3.3%	1	`(exp.f64 a)`
3.3%	1	`a`
3.3%	1	`b`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes7.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) a)

Outputs
(*.f64 #s(literal 1/2 binary64) a)

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
2.6%	1	`a`
2.6%	1	`b`
2.6%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
2.6%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
2.6%	1	`(exp.f64 a)`
2.6%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.6712218390145186e-19

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.6712218390145186e-19

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.6712218390145186e-19

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.6712218390145186e-19

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.6712218390145186e-19

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.6712218390145186e-19

Compiler

Compiled 11 to 11 computations (0% saved)

simplify9.0ms (0.1%)

Memory

-28.8MiB live, 11.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
6×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	148
1	56	148

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 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(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) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #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 (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 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 (*.f64 a #s(literal 1/8 binary64)) a (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log1p.f64 #s(literal 1 binary64))
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/2 binary64) a)

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 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(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) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(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) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 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) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #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 (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 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 (*.f64 a #s(literal 1/8 binary64)) a (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (fma.f64 (*.f64 a #s(literal 1/8 binary64)) a (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(log1p.f64 #s(literal 1 binary64))
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/2 binary64) a)
(*.f64 a #s(literal 1/2 binary64))

soundness1.1s (9.5%)

Memory

59.7MiB live, 830.8MiB allocated

Rules

18 508×	`lower-fma.f64`
18 508×	`lower-fma.f32`
10 560×	`lower-fma.f64`
10 560×	`lower-fma.f32`
8 628×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	457	4541
1	1402	4173
2	5044	4080
0	8249	3597
0	551	5669
1	1707	5227
2	5695	5136
0	8381	4544
0	369	2618
1	1063	2569
2	3218	2516
0	8160	2161
0	99	564
1	274	564
2	757	556
3	2515	548
0	8549	500
0	34	152
0	65	152
1	286	116
2	2410	116
0	8257	116

Stop Event

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

Compiler

Compiled 457 to 272 computations (40.5% saved)

preprocess76.0ms (0.6%)

Memory: -27.6MiB live, 167.0MiB allocated
Compiler: Compiled 412 to 164 computations (60.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	36
1	32	36
2	46	36
3	55	36
4	66	36
5	83	36
6	98	36
7	106	36
8	109	36
0	6	6
0	10	6
1	11	6
0	11	6

Iter	Nodes	Cost
0	21	123
0	40	123
1	70	123
2	128	123
3	247	123
4	383	123
5	540	123
6	540	123
0	540	117

Iter	Nodes	Cost
0	27	152
0	51	152
1	86	151
2	130	141
3	197	141
4	263	141
5	296	141
6	301	141
7	306	141
8	306	141
0	306	141

Iter	Nodes	Cost
0	16	36
1	32	36
2	46	36
3	55	36
4	66	36
5	83	36
6	98	36
7	106	36
8	109	36
0	6	6
0	10	6
1	11	6
0	11	6

Iter	Nodes	Cost
0	21	123
0	40	123
1	70	123
2	128	123
3	247	123
4	383	123
5	540	123
6	540	123
0	540	117

Iter	Nodes	Cost
0	27	152
0	51	152
1	86	151
2	130	141
3	197	141
4	263	141
5	296	141
6	301	141
7	306	141
8	306	141
0	306	141

analyze133.0ms (1.1%)

sample4.5s (37.5%)

preprocess19.0ms (0.2%)

explain183.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize55.0ms (0.5%)

series88.0ms (0.7%)

rewrite102.0ms (0.9%)

simplify478.0ms (4%)

eval17.0ms (0.1%)

prune19.0ms (0.2%)

simplify28.0ms (0.2%)

localize163.0ms (1.4%)

series265.0ms (2.2%)

rewrite319.0ms (2.7%)

simplify322.0ms (2.7%)

eval110.0ms (0.9%)

prune130.0ms (1.1%)

simplify480.0ms (4%)

localize223.0ms (1.9%)

series533.0ms (4.5%)

rewrite343.0ms (2.9%)

simplify383.0ms (3.2%)

eval85.0ms (0.7%)

prune72.0ms (0.6%)

simplify17.0ms (0.1%)

localize93.0ms (0.8%)

series257.0ms (2.1%)

rewrite306.0ms (2.6%)

simplify599.0ms (5%)

eval85.0ms (0.7%)

prune80.0ms (0.7%)

regimes58.0ms (0.5%)

regimes45.0ms (0.4%)

regimes13.0ms (0.1%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes23.0ms (0.2%)

regimes9.0ms (0.1%)

regimes25.0ms (0.2%)

regimes21.0ms (0.2%)

regimes14.0ms (0.1%)

regimes14.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness1.1s (9.5%)

preprocess76.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	36
1	32	36
2	46	36
3	55	36
4	66	36
5	83	36
6	98	36
7	106	36
8	109	36
0	6	6
0	10	6
1	11	6
0	11	6

Iter	Nodes	Cost
0	21	123
0	40	123
1	70	123
2	128	123
3	247	123
4	383	123
5	540	123
6	540	123
0	540	117

Iter	Nodes	Cost
0	27	152
0	51	152
1	86	151
2	130	141
3	197	141
4	263	141
5	296	141
6	301	141
7	306	141
8	306	141
0	306	141