Metrics for symmetry log of sum of exp

analyze134.0ms (1.1%)

Memory

-1.4MiB live, 192.5MiB 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 (36.6%)

Memory

139.6MiB live, 5 311.3MiB allocated

Samples

1.9s	6 795×	5	exit
808.0ms	1 570×	2	valid
480.0ms	2 343×	1	valid
278.0ms	4 343×	0	valid
85.0ms	917×	1	exit

Precisions

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

ival-log: 1.1s (37.3% of total)

ival-exp: 1.0s (36.2% of total)

adjust: 454.0ms (16% of total)

ival-add: 280.0ms (9.9% of total)

ival-true: 13.0ms (0.5% of total)

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

Bogosity

preprocess18.0ms (0.2%)

Memory

-12.3MiB live, 25.0MiB 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)

explain143.0ms (1.2%)

Memory

17.2MiB live, 214.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
133	-	-	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
0	-	-	`(+.f64 (exp.f64 a) (exp.f64 b))`
0	-	-	`a`
0	-	-	`(exp.f64 b)`
0	-	-	`b`
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	125	1
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	oflow-rescue	6	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	6
↳	`(exp.f64 b)`	overflow	6
`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	132
↳	`(exp.f64 b)`	underflow	2

Confusion

	Predicted +	Predicted -
+	133	0
-	0	123

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	133	0	0
-	0	1	122

Precision?

0.9925373134328358

Recall?

1.0

Freqs

test

number	freq
0	123
1	133

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms	94×	2	valid
30.0ms	150×	1	valid
16.0ms	268×	0	valid

Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-log: 42.0ms (57% of total)

ival-exp: 23.0ms (31.2% of total)

adjust: 4.0ms (5.4% of total)

ival-add: 4.0ms (5.4% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify11.0ms (0.1%)

Memory

-43.1MiB live, 6.0MiB 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

localize57.0ms (0.5%)

Memory

4.0MiB live, 78.3MiB 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	52.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

22.0ms	47×	2	valid
17.0ms	75×	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: 38.0ms

ival-log: 19.0ms (50.4% of total)

ival-exp: 14.0ms (37.2% of total)

adjust: 2.0ms (5.3% of total)

ival-add: 2.0ms (5.3% of total)

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

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

series93.0ms (0.8%)

Memory

8.3MiB live, 162.2MiB 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
31.0ms	a	@	inf	(log (+ (exp a) (exp b)))
27.0ms	a	@	-inf	(log (+ (exp a) (exp b)))
17.0ms	b	@	-inf	(log (+ (exp a) (exp b)))
16.0ms	b	@	inf	(log (+ (exp a) (exp b)))
1.0ms	a	@	0	(log (+ (exp a) (exp b)))

rewrite95.0ms (0.8%)

Memory

15.0MiB live, 132.5MiB 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)

simplify438.0ms (3.6%)

Memory

6.5MiB live, 567.6MiB 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)

eval53.0ms (0.4%)

Memory: -18.3MiB live, 22.3MiB allocated
Compiler: Compiled 2 882 to 386 computations (86.6% saved)

prune17.0ms (0.1%)

Memory

32.7MiB live, 32.7MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	141	8	149
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	141	9	150

Accuracy

98.7%

Counts

150 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.1%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
▶	52.0%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
	48.5%	(log1p.f64 (exp.f64 b))
▶	47.3%	(log1p.f64 (exp.f64 a))
	50.0%	(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))))
▶	49.8%	(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))))
	49.4%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	52.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶	48.5%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))

Compiler

Compiled 164 to 122 computations (25.6% saved)

simplify12.0ms (0.1%)

Memory

-20.4MiB live, 18.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (exp.f64 a) (exp.f64 b))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
✓	cost-diff	256	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
✓	cost-diff	576	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))
✓	cost-diff	0	(fma.f64 b (fma.f64 b #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 #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
✓	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

196×	`lower-fma.f32`
192×	`lower-fma.f64`
124×	`lower-+.f32`
114×	`lower-+.f64`
82×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	121
0	38	119
1	62	117
2	90	117
3	159	117
4	196	117
5	204	117
0	204	113

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

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

localize156.0ms (1.3%)

Memory

28.7MiB live, 222.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
✓	accuracy	52.0%	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	accuracy	55.1%	(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))))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	accuracy	97.7%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))

Samples

55.0ms	47×	2	valid
37.0ms	75×	1	valid
26.0ms	134×	0	valid

Compiler

Compiled 136 to 24 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-log: 34.0ms (36.6% of total)

ival-add: 15.0ms (16.2% of total)

ival-exp: 13.0ms (14% of total)

adjust: 9.0ms (9.7% of total)

ival-log1p: 9.0ms (9.7% of total)

ival-div: 6.0ms (6.5% of total)

ival-mult: 4.0ms (4.3% of total)

ival-neg: 2.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

series296.0ms (2.4%)

Memory

-4.4MiB live, 300.6MiB allocated

Counts

15 → 276

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

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

Calls

69 calls:

Time	Variable		Point	Expression
88.0ms	a	@	inf	(log (+ (exp a) (+ (* b (+ (* b 1/2) 1)) 1)))
39.0ms	a	@	inf	(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
20.0ms	a	@	-inf	(log (/ 1 (+ (exp a) (exp b))))
20.0ms	b	@	-inf	(log (/ 1 (+ (exp a) (exp b))))
19.0ms	b	@	inf	(log (+ 1 (exp b)))

rewrite339.0ms (2.8%)

Memory

9.9MiB live, 510.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 866×	`lower-fma.f32`
5 862×	`lower-fma.f64`
4 050×	`lower-/.f32`
4 046×	`lower-/.f64`
3 636×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	93
0	38	91
1	153	89
2	1219	89
0	8425	85

Stop Event

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

Counts

15 → 593

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

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

simplify348.0ms (2.8%)

Memory

-13.6MiB live, 515.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 898×	`lower-fma.f64`
9 898×	`lower-fma.f32`
5 720×	`lower-+.f64`
5 720×	`lower-+.f32`
3 188×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	393	3288
1	1124	3214
2	3325	3170
3	7277	3168
0	8348	2807

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

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

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

eval126.0ms (1%)

Memory: 29.5MiB live, 217.9MiB allocated
Compiler: Compiled 21 838 to 2 567 computations (88.2% saved)

prune159.0ms (1.3%)

Memory

-2.2MiB live, 158.3MiB allocated

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	962	15	977
Fresh	2	1	3
Picked	3	2	5
Done	1	0	1
Total	968	18	986

Accuracy

98.7%

Counts

986 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.4%	(fma.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -1/2 binary64)) (log1p.f64 (exp.f64 a)))
	46.7%	(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	47.0%	(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	45.5%	(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)))
	45.6%	(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
▶	46.5%	(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))))
▶	47.0%	(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
	45.4%	(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
▶	54.3%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
▶	66.8%	(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))) (/.f64 #s(literal 1 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)))))
	44.2%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
	48.5%	(log1p.f64 (exp.f64 b))
✓	47.3%	(log1p.f64 (exp.f64 a))
▶	46.0%	(log1p.f64 #s(literal 1 binary64))
	45.2%	(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a)))
	46.6%	(log.f64 (+.f64 #s(literal 2 binary64) b))
✓	48.5%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
	2.6%	(log.f64 (.f64 #s(literal 1/2 binary64) (.f64 b b)))

Compiler

Compiled 396 to 268 computations (32.3% saved)

simplify620.0ms (5.1%)

Memory

-12.3MiB live, 270.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 b #s(literal -1/4 binary64) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
✓	cost-diff	0	(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)))
✓	cost-diff	0	(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))))
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	cost-diff	0	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(log1p.f64 #s(literal 1 binary64))
✓	cost-diff	0	(log1p.f64 (exp.f64 a))
✓	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 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64)))
✓	cost-diff	320	(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))) (/.f64 #s(literal 1 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)))))

Rules

12 364×	`lower-fma.f32`
12 352×	`lower-fma.f64`
2 416×	`lower-*.f32`
2 414×	`lower-*.f64`
2 248×	`lower-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	226
0	58	226
1	93	224
2	175	224
3	376	224
4	624	224
5	816	224
6	1101	224
7	1773	224
8	3116	224
9	4124	224
10	5161	224
11	5767	224
12	6218	224
13	6712	224
14	6970	224
15	7456	224
16	7627	224
17	7666	224
18	7685	224
19	7751	224
20	7751	224
21	7751	224
0	8053	224

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

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

localize172.0ms (1.4%)

Memory

-4.7MiB live, 110.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	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 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)))
✓	accuracy	100.0%	(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))))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(log1p.f64 #s(literal 1 binary64))
✓	accuracy	99.6%	(pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))
✓	accuracy	99.3%	(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
✓	accuracy	99.3%	(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
✓	accuracy	70.8%	(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))) (/.f64 #s(literal 1 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)))))

Samples

75.0ms

256×

valid

Compiler

Compiled 268 to 38 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 21.0ms (36.4% of total)

ival-add: 10.0ms (17.3% of total)

ival-div: 6.0ms (10.4% of total)

ival-log1p: 6.0ms (10.4% of total)

ival-pow: 6.0ms (10.4% of total)

ival-log: 3.0ms (5.2% of total)

ival-exp: 2.0ms (3.5% of total)

ival-pow2: 2.0ms (3.5% of total)

ival-sub: 1.0ms (1.7% of total)

exact: 1.0ms (1.7% of total)

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

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

series35.0ms (0.3%)

Memory

32.0MiB live, 32.0MiB allocated

Counts

16 → 252

Calls

Call 1

Inputs
#<alt (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))) (/.f64 #s(literal 1 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)))))>
#<alt (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64)))>
#<alt (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))>
#<alt (log1p.f64 (exp.f64 a))>
#<alt (log1p.f64 #s(literal 1 binary64))>
#<alt (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 a))>
#<alt (exp.f64 a)>
#<alt (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))))>
#<alt (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)))>
#<alt (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))>
#<alt (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))>
#<alt (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))>
#<alt (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))>

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

Calls

63 calls:

Time	Variable		Point	Expression
5.0ms	a	@	0	(* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ (+ (exp a) 1) b) -3)) (/ 1 (+ (* (/ b (+ (exp a) 1)) (- (/ b (+ (exp a) 1)) (log (+ 1 (exp a))))) (pow (log (+ 1 (exp a))) 2))))
4.0ms	a	@	inf	(* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ (+ (exp a) 1) b) -3)) (/ 1 (+ (* (/ b (+ (exp a) 1)) (- (/ b (+ (exp a) 1)) (log (+ 1 (exp a))))) (pow (log (+ 1 (exp a))) 2))))
3.0ms	a	@	-inf	(* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ (+ (exp a) 1) b) -3)) (/ 1 (+ (* (/ b (+ (exp a) 1)) (- (/ b (+ (exp a) 1)) (log (+ 1 (exp a))))) (pow (log (+ 1 (exp a))) 2))))
3.0ms	b	@	0	(+ (pow (log (+ 1 (exp a))) 3) (pow (/ (+ (exp a) 1) b) -3))
3.0ms	b	@	0	(+ (* 1/2 b) (log 2))

rewrite885.0ms (7.2%)

Memory

1.9MiB live, 355.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 526×	`lower-fma.f32`
6 514×	`lower-fma.f64`
4 728×	`lower-*.f32`
4 726×	`lower-*.f64`
4 294×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	131
0	58	129
1	248	129
2	2078	129
0	9346	129

Stop Event

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

Counts

16 → 565

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1 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)))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 1 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)))) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 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)))) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))) (.f64 (/.f64 #s(literal 1 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)))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))
(+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (/.f64 #s(literal 1 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 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64)) (/.f64 #s(literal 1 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 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64)) (/.f64 #s(literal 1 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 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (/.f64 #s(literal 1 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 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #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 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -6 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #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 6 binary64)) (.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 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))))) (/.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -6 binary64)) (.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 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))))))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (/.f64 #s(literal 1 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 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64)) (/.f64 #s(literal 1 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))))))
(fma.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64)) (/.f64 #s(literal 1 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 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (/.f64 #s(literal 1 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))))))
(fma.f64 (/.f64 #s(literal 1 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)))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 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)))) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))))
(fma.f64 (/.f64 #s(literal 1 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)))) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64)) (*.f64 (/.f64 #s(literal 1 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)))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.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 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #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 #s(literal -1 binary64) (neg.f64 (/.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 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 9 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -9 binary64))) (.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 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (-.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #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 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -6 binary64))) (*.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 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 9 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (-.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #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)))) (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 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 9 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -9 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (-.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #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 (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 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #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 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -6 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #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 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 9 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -9 binary64)))) (.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 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (-.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #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 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -6 binary64)))) (.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 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64)))))
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(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log1p.f64 (exp.f64 a)))))
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(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal 3 binary64))))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3 binary64)))
(/.f64 (neg.f64 (.f64 b (.f64 b b))) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))))
(/.f64 (pow.f64 (neg.f64 (neg.f64 b)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 b #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 (neg.f64 (neg.f64 (.f64 b (.f64 b b)))) (neg.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64)))))
(pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))
(pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal 2 binary64)) #s(literal -3/2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -3 binary64)) (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)))
(pow.f64 (exp.f64 (log.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64)))
(.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (.f64 (*.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))))
(.f64 (.f64 (*.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3/2 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3/2 binary64)))
(.f64 (.f64 b (*.f64 b b)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -3 binary64)))
(.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -3 binary64)) (.f64 b (*.f64 b b)))
(.f64 (neg.f64 (.f64 b (*.f64 b b))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 3 binary64)) (neg.f64 (.f64 b (*.f64 b b))))
(.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 b (expm1.f64 (+.f64 a a))) #s(literal 3 binary64)) (pow.f64 (expm1.f64 a) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 b)) #s(literal -3 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 b)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 2 binary64)))

simplify382.0ms (3.1%)

Memory

22.9MiB live, 528.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 634×	`lower-fma.f64`
10 634×	`lower-fma.f32`
4 456×	`lower-*.f64`
4 456×	`lower-*.f32`
4 078×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	434	5039
1	1411	4790
2	5240	4589
0	8293	4078

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(/ (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))
(+ (* 1/8 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2))))) (/ (pow (log 2) 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))
(+ (* 1/8 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* a (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 1/2 (/ (log 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ 1/4 (+ (* -1/2 (* b (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 (log 2)))) (+ (* 1/8 (* b (- (* 1/2 b) (log 2)))) (* 1/2 (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2))))))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2)) (/ (* (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2))))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2))))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))))) (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2))))) (/ (pow (log 2) 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))
(+ (* 1/8 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* a (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 1/2 (/ (log 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* a (- (+ (* 1/4 (/ (log 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2))))) (+ (* -3/2 (/ (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 9/64 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ 1/8 (* -1/2 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* 1/24 (* b (- (* 1/2 b) (log 2)))) (+ (* 1/4 (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (* 1/2 (- (* -1/2 (* b (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (+ (* 1/8 (* b (- (* 1/2 b) (log 2)))) (* 1/2 (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2))))))))))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2)) (+ (/ (* (- (+ 1/4 (+ (* -1/2 (* b (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 (log 2)))) (+ (* 1/8 (* b (- (* 1/2 b) (log 2)))) (* 1/2 (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2))))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2))) (/ (* (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2))))) (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 1/2 (/ (log 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ 1/4 (+ (* -1/2 (* b (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 (log 2)))) (+ (* 1/8 (* b (- (* 1/2 b) (log 2)))) (* 1/2 (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2))))))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2)) (/ (* (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2))))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2))))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ 1/4 (+ (* -1/2 (* b (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 (log 2)))) (+ (* 1/8 (* b (- (* 1/2 b) (log 2)))) (* 1/2 (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2))))))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2)) (/ (* (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2))))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2))))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))))) (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2))))) (/ (pow (log 2) 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))
(/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2)))
(/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2)))
(/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2)))
(/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2)))
(/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2)))
(/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2)))
(/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2)))
(/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2)))
(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 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (pow b 2))) (/ 1 (+ 1 (exp a)))) (* -1 (/ (log (+ 1 (exp a))) b))))
(* b (- (+ (* -1 (/ (* (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) (pow b 3))) (/ 1 (+ 1 (exp a)))) (+ (* -1 (/ (log (+ 1 (exp a))) b)) (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))) (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))))))
(/ b (+ 1 (exp a)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (- (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)) (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) b)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))))) b)) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))
(+ (* 1/8 (pow b 3)) (pow (log 2) 3))
(+ (* 1/8 (pow b 3)) (+ (* a (- (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (* 3/16 (pow b 3)))) (pow (log 2) 3)))
(+ (* 1/8 (pow b 3)) (+ (* a (- (+ (* 1/2 (pow (log 2) 2)) (+ (* a (- (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))))) (pow (log 2) 2))) (* 3/16 (pow b 3)))) (pow (log 2) 3)))
(+ (* 1/8 (pow b 3)) (+ (* a (- (+ (* 1/2 (pow (log 2) 2)) (+ (* a (- (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* a (- (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))) (+ (* -3/2 (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3)))) (+ (* -9/32 (pow b 3)) (* 9/64 (pow b 3)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))))) (pow (log 2) 2))) (* 3/16 (pow b 3)))) (pow (log 2) 3)))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(pow (log (+ 1 (exp a))) 3)
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(* (pow b 3) (+ (/ 1 (pow (+ 1 (exp a)) 3)) (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))))
(* (pow b 3) (+ (/ 1 (pow (+ 1 (exp a)) 3)) (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))))
(* (pow b 3) (+ (/ 1 (pow (+ 1 (exp a)) 3)) (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(* -1 (* (pow b 3) (- (* -1 (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))) (/ 1 (pow (+ 1 (exp a)) 3)))))
(* -1 (* (pow b 3) (- (* -1 (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))) (/ 1 (pow (+ 1 (exp a)) 3)))))
(* -1 (* (pow b 3) (- (* -1 (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))) (/ 1 (pow (+ 1 (exp a)) 3)))))
(pow (log 2) 3)
(+ (* a (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 3))
(+ (* a (+ (* 1/2 (pow (log 2) 2)) (+ (* a (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(+ (* a (+ (* 1/2 (pow (log 2) 2)) (+ (* a (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* a (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(pow (log (+ 1 (exp a))) 3)
(pow (log (+ 1 (exp a))) 3)
(pow (log (+ 1 (exp a))) 3)
(pow (log (+ 1 (exp a))) 3)
(pow (log (+ 1 (exp a))) 3)
(pow (log (+ 1 (exp a))) 3)
(pow (log (+ 1 (exp a))) 3)
(pow (log (+ 1 (exp a))) 3)
(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)))
(log 2)
(+ (log 2) (* 1/2 b))
(+ (log 2) (* 1/2 b))
(+ (log 2) (* 1/2 b))
(* 1/2 b)
(* b (+ 1/2 (/ (log 2) b)))
(* b (+ 1/2 (/ (log 2) b)))
(* b (+ 1/2 (/ (log 2) b)))
(* 1/2 b)
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(* 1/2 b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (+ (* a (+ 1/2 (* 1/8 a))) (* b (+ 1/2 (* -1/4 a)))))
(+ (log 2) (+ (* a (+ 1/2 (* 1/8 a))) (* b (+ 1/2 (* -1/4 a)))))
(+ (log 2) (+ (* a (+ 1/2 (* 1/8 a))) (* b (+ 1/2 (* -1/4 a)))))
(* b (+ 1/2 (* -1/4 a)))
(* b (+ 1/2 (+ (* -1/4 a) (+ (/ (log 2) b) (/ (* a (+ 1/2 (* 1/8 a))) b)))))
(* b (+ 1/2 (+ (* -1/4 a) (+ (/ (log 2) b) (/ (* a (+ 1/2 (* 1/8 a))) b)))))
(* b (+ 1/2 (+ (* -1/4 a) (+ (/ (log 2) b) (/ (* a (+ 1/2 (* 1/8 a))) b)))))
(* -1 (* b (- (* 1/4 a) 1/2)))
(* -1 (* b (- (+ (* -1 (/ (+ (log 2) (* a (+ 1/2 (* 1/8 a)))) b)) (* 1/4 a)) 1/2)))
(* -1 (* b (- (+ (* -1 (/ (+ (log 2) (* a (+ 1/2 (* 1/8 a)))) b)) (* 1/4 a)) 1/2)))
(* -1 (* b (- (+ (* -1 (/ (+ (log 2) (* a (+ 1/2 (* 1/8 a)))) b)) (* 1/4 a)) 1/2)))
(+ (log 2) (* 1/2 b))
(+ (log 2) (+ (* 1/2 b) (* a (+ 1/2 (* -1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (+ 1/2 (+ (* -1/4 b) (* 1/8 a))))))
(+ (log 2) (+ (* 1/2 b) (* a (+ 1/2 (+ (* -1/4 b) (* 1/8 a))))))
(* 1/8 (pow a 2))
(* (pow a 2) (+ 1/8 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))
(* (pow a 2) (+ 1/8 (+ (* -1/4 (/ b a)) (+ (* 1/2 (/ b (pow a 2))) (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2)))))))
(* (pow a 2) (+ 1/8 (+ (* -1/4 (/ b a)) (+ (* 1/2 (/ b (pow a 2))) (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2)))))))
(* 1/8 (pow a 2))
(* (pow a 2) (+ 1/8 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))
(* (pow a 2) (+ 1/8 (* -1 (/ (+ (* -1 (+ 1/2 (* -1/4 b))) (* -1 (/ (+ (log 2) (* 1/2 b)) a))) a))))
(* (pow a 2) (+ 1/8 (* -1 (/ (+ (* -1 (+ 1/2 (* -1/4 b))) (* -1 (/ (+ (log 2) (* 1/2 b)) a))) a))))
(log 2)
(+ (log 2) (* a (+ 1/2 (* -1/4 b))))
(+ (log 2) (* a (+ 1/2 (+ (* -1/4 b) (* 1/8 a)))))
(+ (log 2) (* a (+ 1/2 (+ (* -1/4 b) (* 1/8 a)))))
(* 1/8 (pow a 2))
(* (pow a 2) (+ 1/8 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))
(* (pow a 2) (+ 1/8 (+ (* -1/4 (/ b a)) (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2))))))
(* (pow a 2) (+ 1/8 (+ (* -1/4 (/ b a)) (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2))))))
(* 1/8 (pow a 2))
(* (pow a 2) (+ 1/8 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))
(* (pow a 2) (+ 1/8 (* -1 (/ (+ (* -1 (+ 1/2 (* -1/4 b))) (* -1 (/ (log 2) a))) a))))
(* (pow a 2) (+ 1/8 (* -1 (/ (+ (* -1 (+ 1/2 (* -1/4 b))) (* -1 (/ (log 2) a))) a))))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (+ (* -1/4 (* a b)) (* a (+ 1/2 (* 1/8 a)))))
(+ (log 2) (+ (* -1/4 (* a b)) (* a (+ 1/2 (* 1/8 a)))))
(+ (log 2) (+ (* -1/4 (* a b)) (* a (+ 1/2 (* 1/8 a)))))
(* -1/4 (* a b))
(* b (+ (* -1/4 a) (+ (/ (log 2) b) (/ (* a (+ 1/2 (* 1/8 a))) b))))
(* b (+ (* -1/4 a) (+ (/ (log 2) b) (/ (* a (+ 1/2 (* 1/8 a))) b))))
(* b (+ (* -1/4 a) (+ (/ (log 2) b) (/ (* a (+ 1/2 (* 1/8 a))) b))))
(* -1/4 (* a b))
(* -1 (* b (+ (* -1 (/ (+ (log 2) (* a (+ 1/2 (* 1/8 a)))) b)) (* 1/4 a))))
(* -1 (* b (+ (* -1 (/ (+ (log 2) (* a (+ 1/2 (* 1/8 a)))) b)) (* 1/4 a))))
(* -1 (* b (+ (* -1 (/ (+ (log 2) (* a (+ 1/2 (* 1/8 a)))) b)) (* 1/4 a))))
(+ 1/2 (* 1/8 a))
(+ 1/2 (+ (* -1/4 b) (* 1/8 a)))
(+ 1/2 (+ (* -1/4 b) (* 1/8 a)))
(+ 1/2 (+ (* -1/4 b) (* 1/8 a)))
(* -1/4 b)
(* b (- (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b))) 1/4))
(* b (- (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b))) 1/4))
(* b (- (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b))) 1/4))
(* -1/4 b)
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/8 a)) b)))))
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/8 a)) b)))))
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/8 a)) b)))))
(+ 1/2 (* -1/4 b))
(+ 1/2 (+ (* -1/4 b) (* 1/8 a)))
(+ 1/2 (+ (* -1/4 b) (* 1/8 a)))
(+ 1/2 (+ (* -1/4 b) (* 1/8 a)))
(* 1/8 a)
(* a (+ 1/8 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))
(* a (+ 1/8 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))
(* a (+ 1/8 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))
(* 1/8 a)
(* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/8)))
(* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/8)))
(* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/8)))
1/2
(+ 1/2 (* 1/8 a))
(+ 1/2 (* 1/8 a))
(+ 1/2 (* 1/8 a))
(* 1/8 a)
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(* 1/8 a)
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(pow (log 2) 2)
(+ (* a (log 2)) (pow (log 2) 2))
(+ (* a (+ (log 2) (* a (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))
(+ (* a (+ (log 2) (* a (+ 1/4 (+ (* 1/8 a) (* 1/4 (log 2))))))) (pow (log 2) 2))
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(* 1/8 (pow b 3))
(+ (* -3/16 (* a (pow b 3))) (* 1/8 (pow b 3)))
(+ (* 1/8 (pow b 3)) (* a (- (* -1 (* a (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))))) (* 3/16 (pow b 3)))))
(+ (* 1/8 (pow b 3)) (* a (- (* a (- (* -1 (* a (+ (* -3/2 (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3)))) (+ (* -9/32 (pow b 3)) (* 9/64 (pow b 3)))))) (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))))) (* 3/16 (pow b 3)))))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))

Outputs
(/ (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 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 b (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(+ (* 1/8 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2))))) (/ (pow (log 2) 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 b (.f64 b b)) (fma.f64 b (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 a (-.f64 (/.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (fma.f64 b (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.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))) (/.f64 (fma.f64 b (fma.f64 #s(literal -1/2 binary64) (fma.f64 b #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) (-.f64 (.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))) (log.f64 #s(literal 2 binary64))) (pow.f64 (fma.f64 b (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 b (.f64 (.f64 b b) #s(literal 3/16 binary64))) (fma.f64 b (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 b (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+ (* 1/8 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* a (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 1/2 (/ (log 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ 1/4 (+ (* -1/2 (* b (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 (log 2)))) (+ (* 1/8 (* b (- (* 1/2 b) (log 2)))) (* 1/2 (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2))))))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2)) (/ (* (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2))))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2))))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))))) (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2))))) (/ (pow (log 2) 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 b (.f64 b b)) (fma.f64 b (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 a (-.f64 (fma.f64 a (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 b (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 b (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 b (.f64 #s(literal 1/2 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(fma.f64 a (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1/4 (* a b)) (* a (+ 1/2 (* 1/8 a)))))
(fma.f64 a (fma.f64 #s(literal 1/8 binary64) a (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1/4 (* a b)) (* a (+ 1/2 (* 1/8 a)))))
(fma.f64 a (fma.f64 #s(literal 1/8 binary64) a (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1/4 (* a b)) (* a (+ 1/2 (* 1/8 a)))))
(fma.f64 a (fma.f64 #s(literal 1/8 binary64) a (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(* -1/4 (* a b))
(.f64 b (.f64 a #s(literal -1/4 binary64)))
(* b (+ (* -1/4 a) (+ (/ (log 2) b) (/ (* a (+ 1/2 (* 1/8 a))) b))))
(*.f64 b (fma.f64 a (+.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) b)) (/.f64 (log.f64 #s(literal 2 binary64)) b)))
(* b (+ (* -1/4 a) (+ (/ (log 2) b) (/ (* a (+ 1/2 (* 1/8 a))) b))))
(*.f64 b (fma.f64 a (+.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) b)) (/.f64 (log.f64 #s(literal 2 binary64)) b)))
(* b (+ (* -1/4 a) (+ (/ (log 2) b) (/ (* a (+ 1/2 (* 1/8 a))) b))))
(*.f64 b (fma.f64 a (+.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) b)) (/.f64 (log.f64 #s(literal 2 binary64)) b)))
(* -1/4 (* a b))
(.f64 b (.f64 a #s(literal -1/4 binary64)))
(* -1 (* b (+ (* -1 (/ (+ (log 2) (* a (+ 1/2 (* 1/8 a)))) b)) (* 1/4 a))))
(neg.f64 (*.f64 b (fma.f64 a #s(literal 1/4 binary64) (/.f64 (fma.f64 a (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (neg.f64 b)))))
(* -1 (* b (+ (* -1 (/ (+ (log 2) (* a (+ 1/2 (* 1/8 a)))) b)) (* 1/4 a))))
(neg.f64 (*.f64 b (fma.f64 a #s(literal 1/4 binary64) (/.f64 (fma.f64 a (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (neg.f64 b)))))
(* -1 (* b (+ (* -1 (/ (+ (log 2) (* a (+ 1/2 (* 1/8 a)))) b)) (* 1/4 a))))
(neg.f64 (*.f64 b (fma.f64 a #s(literal 1/4 binary64) (/.f64 (fma.f64 a (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (neg.f64 b)))))
(+ 1/2 (* 1/8 a))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/4 b) (* 1/8 a)))
(fma.f64 #s(literal 1/8 binary64) a (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/4 b) (* 1/8 a)))
(fma.f64 #s(literal 1/8 binary64) a (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/4 b) (* 1/8 a)))
(fma.f64 #s(literal 1/8 binary64) a (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(* -1/4 b)
(*.f64 b #s(literal -1/4 binary64))
(* b (- (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b))) 1/4))
(*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/8 binary64) (/.f64 a b) #s(literal -1/4 binary64))))
(* b (- (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b))) 1/4))
(*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/8 binary64) (/.f64 a b) #s(literal -1/4 binary64))))
(* b (- (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b))) 1/4))
(*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) b) (fma.f64 #s(literal 1/8 binary64) (/.f64 a b) #s(literal -1/4 binary64))))
(* -1/4 b)
(*.f64 b #s(literal -1/4 binary64))
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/8 a)) b)))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) b)) (neg.f64 b))
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/8 a)) b)))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) b)) (neg.f64 b))
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/8 a)) b)))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) b)) (neg.f64 b))
(+ 1/2 (* -1/4 b))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/4 b) (* 1/8 a)))
(fma.f64 #s(literal 1/8 binary64) a (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/4 b) (* 1/8 a)))
(fma.f64 #s(literal 1/8 binary64) a (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/4 b) (* 1/8 a)))
(fma.f64 #s(literal 1/8 binary64) a (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(* 1/8 a)
(*.f64 #s(literal 1/8 binary64) a)
(* a (+ 1/8 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))
(fma.f64 a (fma.f64 b (/.f64 #s(literal -1/4 binary64) a) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(* a (+ 1/8 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))
(fma.f64 a (fma.f64 b (/.f64 #s(literal -1/4 binary64) a) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(* a (+ 1/8 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))
(fma.f64 a (fma.f64 b (/.f64 #s(literal -1/4 binary64) a) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(* 1/8 a)
(*.f64 #s(literal 1/8 binary64) a)
(* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/8)))
(*.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) a)) (neg.f64 a))
(* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/8)))
(*.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) a)) (neg.f64 a))
(* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/8)))
(*.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) a)) (neg.f64 a))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 a))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (* 1/8 a))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (* 1/8 a))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
(* 1/8 a)
(*.f64 #s(literal 1/8 binary64) a)
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
(* 1/8 a)
(*.f64 #s(literal 1/8 binary64) a)
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
(pow (log 2) 2)
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))
(+ (* a (log 2)) (pow (log 2) 2))
(*.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) a))
(+ (* a (+ (log 2) (* a (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) (*.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1 binary64)) (log.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(+ (* 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 #s(literal 1/8 binary64) a #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))
(* 1/8 (pow b 3))
(.f64 #s(literal 1/8 binary64) (.f64 b (*.f64 b b)))
(+ (* -3/16 (* a (pow b 3))) (* 1/8 (pow b 3)))
(.f64 (.f64 b (*.f64 b b)) (fma.f64 a #s(literal -3/16 binary64) #s(literal 1/8 binary64)))
(+ (* 1/8 (pow b 3)) (* a (- (* -1 (* a (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))))) (* 3/16 (pow b 3)))))
(fma.f64 a (neg.f64 (.f64 (.f64 b (.f64 b b)) (fma.f64 #s(literal -3/32 binary64) a #s(literal 3/16 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))))
(+ (* 1/8 (pow b 3)) (* a (- (* a (- (* -1 (* a (+ (* -3/2 (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3)))) (+ (* -9/32 (pow b 3)) (* 9/64 (pow b 3)))))) (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))))) (* 3/16 (pow b 3)))))
(fma.f64 a (fma.f64 a (fma.f64 a (.f64 (.f64 b (.f64 b b)) #s(literal 0 binary64)) (.f64 (.f64 b (.f64 b b)) #s(literal 3/32 binary64))) (.f64 (.f64 b (.f64 b b)) #s(literal -3/16 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))

eval146.0ms (1.2%)

Memory: -15.6MiB live, 298.6MiB allocated
Compiler: Compiled 43 188 to 2 664 computations (93.8% saved)

prune114.0ms (0.9%)

Memory

5.9MiB live, 284.9MiB allocated

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	978	11	989
Fresh	2	9	11
Picked	2	3	5
Done	0	2	2
Total	982	25	1 007

Accuracy

98.7%

Counts

1 007 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.7%	(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
▶	47.0%	(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
▶	45.5%	(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)))
	45.6%	(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	46.5%	(fma.f64 #s(literal 1/2 binary64) b (fma.f64 a (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
	3.6%	(fma.f64 #s(literal 1/2 binary64) b (*.f64 a (fma.f64 a (fma.f64 b (/.f64 #s(literal -1/4 binary64) a) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
	4.2%	(fma.f64 #s(literal 1/2 binary64) b (.f64 #s(literal 1/8 binary64) (.f64 a a)))
✓	47.0%	(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
	45.4%	(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
	45.9%	(/.f64 (fma.f64 (-.f64 (.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) (.f64 a (.f64 b #s(literal -1/4 binary64)))) (.f64 (.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) (.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (-.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) (.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64)))))
	46.5%	(/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 b #s(literal -1/4 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 b b)) (.f64 (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) a))) (.f64 (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))) (-.f64 (.f64 b #s(literal -1/4 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
	46.5%	(/.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 b b)) (.f64 (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) a) (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 b #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 b b))) (fma.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (.f64 (-.f64 (.f64 b #s(literal -1/4 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 b #s(literal -1/4 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 b #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 b b))) (fma.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))))
✓	54.3%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
▶	48.7%	(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))) (/.f64 #s(literal 1 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 #s(literal 1 binary64)) #s(literal 2 binary64)))))
	23.6%	(.f64 (.f64 a a) (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) a)) a)))
	47.0%	(*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)))
▶	12.4%	(*.f64 b #s(literal 1/2 binary64))
	3.2%	(.f64 #s(literal 1/8 binary64) (.f64 a a))
	44.2%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
	48.5%	(log1p.f64 (exp.f64 b))
✓	47.3%	(log1p.f64 (exp.f64 a))
✓	46.0%	(log1p.f64 #s(literal 1 binary64))
	45.2%	(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a)))
▶	46.6%	(log.f64 (+.f64 #s(literal 2 binary64) b))
✓	48.5%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))

Compiler

Compiled 901 to 482 computations (46.5% saved)

simplify292.0ms (2.4%)

Memory

11.1MiB live, 332.4MiB 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 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #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 b #s(literal 1/2 binary64))
✓	cost-diff	0	(log1p.f64 (exp.f64 a))
✓	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 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64)))
✓	cost-diff	320	(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))) (/.f64 #s(literal 1 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 #s(literal 1 binary64)) #s(literal 2 binary64)))))

Rules

6 316×	`lower-fma.f32`
6 304×	`lower-fma.f64`
2 248×	`lower-*.f32`
2 242×	`lower-*.f64`
1 410×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	222
0	66	222
1	115	220
2	206	220
3	339	220
4	471	220
5	609	220
6	883	220
7	1546	220
8	2872	220
9	3980	220
10	4872	220
11	5690	220
12	6167	220
13	6494	220
14	6649	220
15	7471	220
16	7918	220
0	8001	220

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

localize124.0ms (1%)

Memory

-18.3MiB live, 256.2MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	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 (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
✓	accuracy	99.4%	(*.f64 a #s(literal -1/192 binary64))
✓	accuracy	100.0%	(fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #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 b #s(literal 1/2 binary64))
✓	accuracy	99.8%	(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))) (/.f64 #s(literal 1 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 #s(literal 1 binary64)) #s(literal 2 binary64)))))
✓	accuracy	99.6%	(pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))
✓	accuracy	99.3%	(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
✓	accuracy	98.4%	(pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64))

Samples

78.0ms	254×	0	valid
1.0ms	2×	0	invalid

Compiler

Compiled 262 to 41 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 14.0ms (24% of total)

ival-add: 11.0ms (18.9% of total)

ival-log: 6.0ms (10.3% of total)

ival-log1p: 6.0ms (10.3% of total)

ival-pow: 6.0ms (10.3% of total)

ival-div: 5.0ms (8.6% of total)

const: 4.0ms (6.9% of total)

ival-exp: 2.0ms (3.4% of total)

ival-pow2: 2.0ms (3.4% of total)

ival-sub: 1.0ms (1.7% of total)

exact: 1.0ms (1.7% of total)

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

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

series32.0ms (0.3%)

Memory

28.0MiB live, 68.7MiB allocated

Counts

16 → 204

Calls

Call 1

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

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

Calls

51 calls:

Time	Variable		Point	Expression
14.0ms	a	@	inf	(* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ (+ (exp a) 1) b) -3)) (/ 1 (+ (* (/ b (+ (exp a) 1)) (- (/ b (+ (exp a) 1)) (log (+ 1 (exp a))))) (pow (log (+ 1 1)) 2))))
5.0ms	a	@	0	(* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ (+ (exp a) 1) b) -3)) (/ 1 (+ (* (/ b (+ (exp a) 1)) (- (/ b (+ (exp a) 1)) (log (+ 1 (exp a))))) (pow (log (+ 1 1)) 2))))
1.0ms	b	@	0	(* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ (+ (exp a) 1) b) -3)) (/ 1 (+ (* (/ b (+ (exp a) 1)) (- (/ b (+ (exp a) 1)) (log (+ 1 (exp a))))) (pow (log (+ 1 1)) 2))))
1.0ms	a	@	-inf	(* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ (+ (exp a) 1) b) -3)) (/ 1 (+ (* (/ b (+ (exp a) 1)) (- (/ b (+ (exp a) 1)) (log (+ 1 (exp a))))) (pow (log (+ 1 1)) 2))))
1.0ms	b	@	inf	(* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ (+ (exp a) 1) b) -3)) (/ 1 (+ (* (/ b (+ (exp a) 1)) (- (/ b (+ (exp a) 1)) (log (+ 1 (exp a))))) (pow (log (+ 1 1)) 2))))

rewrite344.0ms (2.8%)

Memory

17.1MiB live, 443.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 914×	`lower-fma.f32`
5 902×	`lower-fma.f64`
4 184×	`lower-*.f32`
4 178×	`lower-*.f64`
3 868×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	127
0	66	125
1	280	125
2	2204	125
0	8736	125

Stop Event

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

Counts

16 → 410

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1 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 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 1 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 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 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 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))) (.f64 (/.f64 #s(literal 1 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 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))
(+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (/.f64 #s(literal 1 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 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64)) (/.f64 #s(literal 1 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 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+.f64 (.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64)) (/.f64 #s(literal 1 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 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (/.f64 #s(literal 1 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 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #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 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -6 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #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 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (.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 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))))) (/.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -6 binary64)) (.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 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))))))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (/.f64 #s(literal 1 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 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64)) (/.f64 #s(literal 1 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 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64)) (/.f64 #s(literal 1 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 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (/.f64 #s(literal 1 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 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 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 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 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 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))))
(fma.f64 (/.f64 #s(literal 1 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 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64)) (*.f64 (/.f64 #s(literal 1 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 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.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 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #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 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 9 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -9 binary64))) (.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 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (-.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #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 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -6 binary64))) (*.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 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 9 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (-.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #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)))) (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 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 9 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -9 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (-.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #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 (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 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 a (.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 a (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/7077888 binary64))) (.f64 a (.f64 a a)) (pow.f64 (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -1/192 binary64)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/192 binary64)) (-.f64 (.f64 (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 a (*.f64 a a)) #s(literal -1/192 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -1/192 binary64))) #s(literal 3 binary64)) (.f64 #s(literal 1/512 binary64) (.f64 a (.f64 a a)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -1/192 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -1/192 binary64))) (-.f64 (.f64 (.f64 a #s(literal 1/8 binary64)) (.f64 a #s(literal 1/8 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -1/192 binary64))) (.f64 a #s(literal 1/8 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 a a)) #s(literal 1/4 binary64)) (.f64 a (.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (.f64 a (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))) (.f64 a (.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 a (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (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 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (*.f64 a a)) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 a (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))) (.f64 a (.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 a (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 a a)) #s(literal 1/4 binary64)) (.f64 a (.f64 (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
(.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 a a)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64))))
(+.f64 (.f64 a (.f64 a #s(literal -1/192 binary64))) #s(literal 1/8 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36864 binary64)) (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal -1/8 binary64))))
(-.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64))))) (/.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36864 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64))))))
(fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64))
(fma.f64 (*.f64 a #s(literal -1/192 binary64)) a #s(literal 1/8 binary64))
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36864 binary64) #s(literal 1/64 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 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal -1/8 binary64)) (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36864 binary64) #s(literal -1/64 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36864 binary64) #s(literal 1/64 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) (neg.f64 (/.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal -1/8 binary64)) (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36864 binary64) #s(literal -1/64 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 (.f64 a a) (.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 (.f64 a a) (.f64 a a)) #s(literal 1/36864 binary64)) (.f64 (*.f64 a a) #s(literal -1/1536 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36864 binary64) #s(literal -1/64 binary64)) (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #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 (.f64 a a) (.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 (.f64 a a) (.f64 a a)) #s(literal 1/36864 binary64)) (.f64 (*.f64 a a) #s(literal -1/1536 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36864 binary64) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal -1/8 binary64))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36864 binary64))) (-.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36864 binary64)) (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal -1/8 binary64))) (.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal -1/8 binary64)) #s(literal 1/64 binary64))) (.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal -1/8 binary64)) (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #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 (.f64 a a) (.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 (.f64 a a) (.f64 a a)) #s(literal 1/36864 binary64) #s(literal -1/64 binary64)))) (neg.f64 (neg.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal -1/8 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36864 binary64)))) (neg.f64 (-.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36864 binary64) #s(literal 1/64 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))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal -1/8 binary64)) (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36864 binary64) #s(literal -1/64 binary64))) #s(literal -1 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 (.f64 a a) (.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 (.f64 a a) (.f64 a a)) #s(literal 1/36864 binary64) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal -1/8 binary64))))
(*.f64 a #s(literal -1/192 binary64))
(*.f64 #s(literal -1/192 binary64) a)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 #s(literal 2 binary64)))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b))))
(exp.f64 (*.f64 (log.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal 2 binary64))) #s(literal -3/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -3/2 binary64) (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -3/2 binary64))))
(neg.f64 (pow.f64 (/.f64 b (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(neg.f64 (pow.f64 (/.f64 (neg.f64 b) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal 3 binary64))))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3 binary64)))
(/.f64 (neg.f64 (.f64 b (.f64 b b))) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))))
(/.f64 (pow.f64 (*.f64 b #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (neg.f64 b)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(/.f64 (neg.f64 (neg.f64 (.f64 b (.f64 b b)))) (neg.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64)))))
(pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))
(pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal 2 binary64)) #s(literal -3/2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) #s(literal 3 binary64))
(pow.f64 (exp.f64 #s(literal -3 binary64)) (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64)))
(.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (.f64 (*.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))))
(.f64 (.f64 b (*.f64 b b)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -3 binary64)))
(.f64 (.f64 (*.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3/2 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3/2 binary64)))
(.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -3 binary64)) (.f64 b (*.f64 b b)))
(.f64 (neg.f64 (.f64 b (*.f64 b b))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 3 binary64)) (neg.f64 (.f64 b (*.f64 b b))))
(.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))
(.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 b (expm1.f64 (+.f64 a a))) #s(literal 3 binary64)) (pow.f64 (expm1.f64 a) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 b)) #s(literal -3 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 b)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -3 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (.f64 b (*.f64 b b)))

simplify590.0ms (4.8%)

Memory

-36.5MiB live, 475.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 542×	`lower-fma.f64`
10 542×	`lower-fma.f32`
6 058×	`lower-*.f64`
6 058×	`lower-*.f32`
3 548×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	448	4760
1	1418	4488
2	5180	4453
0	8339	4036

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 202

Calls

Call 1

Inputs
(/ (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))
(+ (* 1/8 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2))))) (/ (pow (log 2) 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))
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(* -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)
(* 1/8 (pow b 3))
(+ (* -3/16 (* a (pow b 3))) (* 1/8 (pow b 3)))
(+ (* 1/8 (pow b 3)) (* a (- (* -1 (* a (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))))) (* 3/16 (pow b 3)))))
(+ (* 1/8 (pow b 3)) (* a (- (* a (- (* -1 (* a (+ (* -3/2 (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3)))) (+ (* -9/32 (pow b 3)) (* 9/64 (pow b 3)))))) (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))))) (* 3/16 (pow b 3)))))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))

Outputs
(/ (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 b #s(literal 1/2 binary64)) (-.f64 (.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
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#s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
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(*.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))
(* 1/8 (pow b 3))
(.f64 #s(literal 1/8 binary64) (.f64 b (*.f64 b b)))
(+ (* -3/16 (* a (pow b 3))) (* 1/8 (pow b 3)))
(.f64 (.f64 b (*.f64 b b)) (fma.f64 a #s(literal -3/16 binary64) #s(literal 1/8 binary64)))
(+ (* 1/8 (pow b 3)) (* a (- (* -1 (* a (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))))) (* 3/16 (pow b 3)))))
(fma.f64 a (fma.f64 a (.f64 (.f64 b (.f64 b b)) #s(literal 3/32 binary64)) (.f64 (.f64 b (.f64 b b)) #s(literal -3/16 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 b (*.f64 b b))))
(+ (* 1/8 (pow b 3)) (* a (- (* a (- (* -1 (* a (+ (* -3/2 (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3)))) (+ (* -9/32 (pow b 3)) (* 9/64 (pow b 3)))))) (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))))) (* 3/16 (pow b 3)))))
(fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 (.f64 b (.f64 b b)) #s(literal 9/64 binary64) (.f64 (.f64 b (.f64 b b)) #s(literal -9/64 binary64))) (.f64 (.f64 b (.f64 b b)) #s(literal 3/32 binary64))) (.f64 (.f64 b (.f64 b b)) #s(literal -3/16 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(/.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))

eval95.0ms (0.8%)

Memory: -10.2MiB live, 142.9MiB allocated
Compiler: Compiled 26 017 to 1 857 computations (92.9% saved)

prune90.0ms (0.7%)

Memory

-1.7MiB live, 157.3MiB allocated

Pruning

30 alts after pruning (21 fresh and 9 done)

	Pruned	Kept	Total
New	648	7	655
Fresh	1	14	15
Picked	1	4	5
Done	0	5	5
Total	650	30	680

Accuracy

98.7%

Counts

680 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.0%	(fma.f64 (*.f64 b b) #s(literal 1/8 binary64) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
	46.7%	(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	47.0%	(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	45.5%	(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)))
	45.6%	(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	45.4%	(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
	46.5%	(fma.f64 #s(literal 1/2 binary64) b (fma.f64 a (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
	3.6%	(fma.f64 #s(literal 1/2 binary64) b (*.f64 a (fma.f64 a (fma.f64 b (/.f64 #s(literal -1/4 binary64) a) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
	4.2%	(fma.f64 #s(literal 1/2 binary64) b (.f64 #s(literal 1/8 binary64) (.f64 a a)))
✓	47.0%	(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
	45.9%	(/.f64 (fma.f64 (-.f64 (.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) (.f64 a (.f64 b #s(literal -1/4 binary64)))) (.f64 (.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) (.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (-.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) (.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64)))))
	46.5%	(/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 b #s(literal -1/4 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 b b)) (.f64 (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) a))) (.f64 (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))) (-.f64 (.f64 b #s(literal -1/4 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
	46.5%	(/.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 b b)) (.f64 (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) a) (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 b #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 b b))) (fma.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (.f64 (-.f64 (.f64 b #s(literal -1/4 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 b #s(literal -1/4 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 b #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 b b))) (fma.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))))
✓	54.3%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
	48.7%	(.f64 (fma.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (.f64 b (*.f64 b b)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 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 #s(literal 1 binary64)) #s(literal 2 binary64)))))
	48.1%	(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 #s(literal 2 binary64))) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 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))))
	23.6%	(.f64 (.f64 a a) (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) a)) a)))
	12.1%	(*.f64 b (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)))
	47.0%	(*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)))
✓	12.4%	(*.f64 b #s(literal 1/2 binary64))
	5.6%	(.f64 #s(literal 1/8 binary64) (.f64 b b))
	3.2%	(.f64 #s(literal 1/8 binary64) (.f64 a a))
	44.2%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
	48.5%	(log1p.f64 (exp.f64 b))
✓	47.3%	(log1p.f64 (exp.f64 a))
✓	46.0%	(log1p.f64 #s(literal 1 binary64))
	45.2%	(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a)))
✓	46.6%	(log.f64 (+.f64 #s(literal 2 binary64) b))
✓	48.5%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))

Compiler

Compiled 1 229 to 469 computations (61.8% saved)

regimes67.0ms (0.5%)

Memory

11.2MiB live, 87.9MiB allocated

Counts

42 → 1

Calls

Call 1

Inputs
(*.f64 b #s(literal 1/2 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 a a))
(.f64 #s(literal 1/8 binary64) (.f64 b b))
(*.f64 b (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (.f64 #s(literal 1/8 binary64) (.f64 a a)))
(fma.f64 #s(literal 1/2 binary64) b (*.f64 a (fma.f64 a (fma.f64 b (/.f64 #s(literal -1/4 binary64) 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))))
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(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)))
(log.f64 (.f64 #s(literal 1/2 binary64) (.f64 b b)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #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)))
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a)))
(fma.f64 (*.f64 b b) #s(literal 1/8 binary64) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) b (fma.f64 a (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)))
(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 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(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))))
(.f64 (.f64 a a) (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) a)) a)))
(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) (+.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 (+.f64 (exp.f64 a) (exp.f64 b)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 b #s(literal -1/4 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 b b)) (.f64 (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) a))) (.f64 (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))) (-.f64 (.f64 b #s(literal -1/4 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (-.f64 (.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) (.f64 a (.f64 b #s(literal -1/4 binary64)))) (.f64 (.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) (.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (-.f64 (.f64 a (.f64 b #s(literal -1/4 binary64))) (.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -1/2 binary64)) (log1p.f64 (exp.f64 a)))
(/.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 b b)) (.f64 (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) a) (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 b #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 b b))) (fma.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (.f64 (-.f64 (.f64 b #s(literal -1/4 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 b #s(literal -1/4 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 b #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 b b))) (fma.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 #s(literal 2 binary64))) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))) (/.f64 #s(literal 1 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 #s(literal 1 binary64)) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64))) (/.f64 #s(literal 1 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 (fma.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (.f64 b (*.f64 b b)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 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 #s(literal 1 binary64)) #s(literal 2 binary64)))))

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

Calls

6 calls:

13.0ms	b
13.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
11.0ms	a
9.0ms	(exp.f64 b)
9.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
97.1%	1	`a`
97.1%	1	`b`
97.1%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
97.1%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
97.1%	1	`(exp.f64 a)`
97.1%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes59.0ms (0.5%)

Memory

-0.8MiB live, 74.5MiB allocated

Counts

33 → 2

Calls

Call 1

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

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

Calls

6 calls:

14.0ms	a
11.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
9.0ms	b
7.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.4%	2	`(exp.f64 a)`
98.4%	2	`a`
65.6%	4	`b`
97.7%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
97.7%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
56.9%	2	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes33.0ms (0.3%)

Memory

5.6MiB live, 50.3MiB allocated

Counts

31 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
96.5%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
96.5%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
97.5%	2	`a`
97.5%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes16.0ms (0.1%)

Memory

-12.1MiB live, 26.7MiB allocated

Counts

26 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	a
6.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
96.9%	2	`a`
96.9%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes11.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated

Counts

19 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	a
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
96.8%	2	`a`
96.8%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes20.0ms (0.2%)

Memory

-7.2MiB live, 31.6MiB allocated

Counts

17 → 2

Calls

Call 1

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
95.0%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
95.0%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
96.3%	2	`(exp.f64 a)`
96.3%	2	`a`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes28.0ms (0.2%)

Memory

1.8MiB live, 40.5MiB allocated

Counts

16 → 2

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms	b
5.0ms	a
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
47.0%	1	`(exp.f64 b)`
47.0%	1	`b`
54.4%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
54.4%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
54.4%	2	`a`
54.4%	2	`(exp.f64 a)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes22.0ms (0.2%)

Memory

-19.6MiB live, 29.8MiB allocated

Counts

15 → 2

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms	a
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
54.2%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
54.2%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
54.2%	2	`a`
54.2%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes14.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
54.1%	2	`a`
54.1%	2	`(exp.f64 a)`
54.0%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
54.0%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes18.0ms (0.1%)

Memory

-24.4MiB live, 14.3MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
(*.f64 b #s(literal 1/2 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 a a))
(.f64 #s(literal 1/8 binary64) (.f64 b b))
(*.f64 b (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (.f64 #s(literal 1/8 binary64) (.f64 a a)))
(fma.f64 #s(literal 1/2 binary64) b (*.f64 a (fma.f64 a (fma.f64 b (/.f64 #s(literal -1/4 binary64) 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))))
(log1p.f64 #s(literal 1 binary64))

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

Calls

4 calls:

9.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms	a
2.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
53.3%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
53.3%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
53.4%	2	`a`
53.4%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes15.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Accuracy

Total -7.1b remaining (-12.6%)

Threshold costs -7.1b (-12.6%)

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 b #s(literal 1/2 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 a a))
(.f64 #s(literal 1/8 binary64) (.f64 b b))
(*.f64 b (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (.f64 #s(literal 1/8 binary64) (.f64 a a)))
(fma.f64 #s(literal 1/2 binary64) b (*.f64 a (fma.f64 a (fma.f64 b (/.f64 #s(literal -1/4 binary64) 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))))

Outputs
(*.f64 b #s(literal 1/2 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
12.4%	1	`b`
12.4%	1	`(exp.f64 b)`
12.4%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
12.4%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
12.4%	1	`a`
12.4%	1	`(exp.f64 a)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch31.0ms (0.3%)

Memory

-4.7MiB live, 33.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	-81527.58075924653	-0.011864489956283097

Samples

17.0ms	126×	1	valid
4.0ms	9×	2	valid
2.0ms	9×	0	valid

Compiler

Compiled 173 to 137 computations (20.8% saved)

Precisions

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

ival-log: 9.0ms (47.7% of total)

ival-exp: 7.0ms (37.1% of total)

adjust: 2.0ms (10.6% of total)

ival-add: 1.0ms (5.3% of total)

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

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

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9882056155753123

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9882056155753123

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch13.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-81527.58075924653	-0.011864489956283097

Samples

7.0ms

128×

valid

Compiler

Compiled 209 to 164 computations (21.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 2.0ms (44.5% of total)

ival-add: 1.0ms (22.2% of total)

ival-log: 1.0ms (22.2% of total)

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

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

bsearch3.0ms (0%)

Memory

-35.9MiB live, 2.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	-81527.58075924653	-0.011864489956283097

Compiler

Compiled 191 to 155 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9882056155753123

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	1.0108755092858568	1.9882056155753123

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	0.9882056155753123

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	0.9882056155753123

Compiler

Compiled 11 to 11 computations (0% saved)

simplify7.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	157
1	55	157

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 a #s(literal -38 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 #s(literal 1/2 binary64) b (fma.f64 a (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 a #s(literal -1 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a))))
(if (<=.f64 a #s(literal -38 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 b (fma.f64 b #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 #s(literal 1/2 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 3/2 binary64)) (*.f64 b #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))
(*.f64 b #s(literal 1/2 binary64))

Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -38 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 a #s(literal -38 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 #s(literal 1/2 binary64) b (fma.f64 a (fma.f64 #s(literal 1/8 binary64) 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 #s(literal 1/2 binary64) b (fma.f64 a (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 a #s(literal -1 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a))))
(if (<=.f64 a #s(literal -1 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a))))
(if (<=.f64 a #s(literal -38 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -38 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (fma.f64 b (fma.f64 b #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 #s(literal 1/2 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 3/2 binary64)) (*.f64 b #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log.f64 (+.f64 b #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))
(*.f64 b #s(literal 1/2 binary64))

soundness924.0ms (7.5%)

Memory

35.1MiB live, 699.2MiB allocated

Rules

18 508×	`lower-fma.f64`
18 508×	`lower-fma.f32`
10 634×	`lower-fma.f64`
10 634×	`lower-fma.f32`
9 898×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	393	3288
1	1124	3214
2	3325	3170
3	7277	3168
0	8348	2807
0	99	564
1	274	564
2	757	556
3	2515	548
0	8549	500
0	434	5039
1	1411	4790
2	5240	4589
0	8293	4078

Stop Event

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

Compiler

Compiled 523 to 317 computations (39.4% saved)

preprocess79.0ms (0.6%)

Memory: -7.8MiB live, 107.1MiB allocated
Compiler: Compiled 406 to 154 computations (62.1% 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	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

analyze134.0ms (1.1%)

sample4.5s (36.6%)

preprocess18.0ms (0.2%)

explain143.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.1%)

localize57.0ms (0.5%)

series93.0ms (0.8%)

rewrite95.0ms (0.8%)

simplify438.0ms (3.6%)

eval53.0ms (0.4%)

prune17.0ms (0.1%)

simplify12.0ms (0.1%)

localize156.0ms (1.3%)

series296.0ms (2.4%)

rewrite339.0ms (2.8%)

simplify348.0ms (2.8%)

eval126.0ms (1%)

prune159.0ms (1.3%)

simplify620.0ms (5.1%)

localize172.0ms (1.4%)

series35.0ms (0.3%)

rewrite885.0ms (7.2%)

simplify382.0ms (3.1%)

eval146.0ms (1.2%)

prune114.0ms (0.9%)

simplify292.0ms (2.4%)

localize124.0ms (1%)

series32.0ms (0.3%)

rewrite344.0ms (2.8%)

simplify590.0ms (4.8%)

eval95.0ms (0.8%)

prune90.0ms (0.7%)

regimes67.0ms (0.5%)

regimes59.0ms (0.5%)

regimes33.0ms (0.3%)

regimes16.0ms (0.1%)

regimes11.0ms (0.1%)

regimes20.0ms (0.2%)

regimes28.0ms (0.2%)

regimes22.0ms (0.2%)

regimes14.0ms (0.1%)

regimes18.0ms (0.1%)

regimes15.0ms (0.1%)

bsearch31.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.1%)

bsearch3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness924.0ms (7.5%)

preprocess79.0ms (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