Metrics for symmetry log of sum of exp

analyze137.0ms (1.1%)

Memory

-1.3MiB live, 192.9MiB 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)

sample4.6s (36.7%)

Memory

105.0MiB live, 5 158.6MiB allocated

Samples

1.8s	6 927×	5	exit
739.0ms	1 491×	2	valid
562.0ms	2 319×	1	valid
308.0ms	976×	1	exit
279.0ms	4 446×	0	valid

Precisions

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

ival-log: 1.0s (38% of total)

ival-exp: 819.0ms (29.6% of total)

adjust: 500.0ms (18.1% of total)

ival-add: 375.0ms (13.6% of total)

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

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

Bogosity

preprocess13.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB 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
1	7	6
0	7	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Symmetry

(sort a b)

explain150.0ms (1.2%)

Memory

-10.7MiB live, 188.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
135	-	-	`(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	131	0
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	oflow-rescue	4	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	4
↳	`(exp.f64 b)`	overflow	4

Confusion

	Predicted +	Predicted -
+	135	0
-	0	121

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	135	0	0
-	0	0	121

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	121
1	135

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

47.0ms	92×	2	valid
33.0ms	164×	1	valid
21.0ms	256×	0	valid

Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-log: 42.0ms (53.3% of total)

ival-exp: 27.0ms (34.2% of total)

adjust: 4.0ms (5.1% of total)

ival-add: 4.0ms (5.1% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify3.0ms (0%)

Memory

2.5MiB live, 2.5MiB 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×	`exp-lowering-exp.f32`
4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
4×	`exp-lowering-exp.f64`
2×	`log-lowering-log.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize56.0ms (0.5%)

Memory

35.6MiB live, 74.1MiB 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	51.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

23.0ms	46×	2	valid
15.0ms	82×	1	valid
9.0ms	128×	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: 20.0ms (52.1% of total)

ival-exp: 14.0ms (36.5% of total)

adjust: 2.0ms (5.2% of total)

ival-add: 2.0ms (5.2% of total)

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

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

series89.0ms (0.7%)

Memory

-23.1MiB live, 139.5MiB allocated

Counts

4 → 72

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
29.0ms	a	@	inf	(log (+ (exp a) (exp b)))
25.0ms	a	@	-inf	(log (+ (exp a) (exp b)))
17.0ms	b	@	-inf	(log (+ (exp a) (exp b)))
14.0ms	b	@	inf	(log (+ (exp a) (exp b)))
2.0ms	a	@	0	(log (+ (exp a) (exp b)))

rewrite101.0ms (0.8%)

Memory

-2.0MiB live, 110.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

812×	`-lowering-.f32`
812×	`-lowering-.f64`
800×	`accelerator-lowering-fma.f32`
800×	`accelerator-lowering-fma.f64`
614×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	20	15
2	146	15
0	1405	15

Stop Event

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

Counts

4 → 77

Calls

Call 1

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

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

simplify470.0ms (3.8%)

Memory

19.0MiB live, 660.8MiB allocated

Algorithm

1×	egg-herbie

Rules

18 508×	`accelerator-lowering-fma.f32`
18 508×	`accelerator-lowering-fma.f64`
5 052×	`+-lowering-+.f64`
5 052×	`+-lowering-+.f32`
4 904×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval17.0ms (0.1%)

Memory: -9.8MiB live, 28.7MiB allocated
Compiler: Compiled 2 882 to 387 computations (86.6% saved)

prune21.0ms (0.2%)

Memory

0.0MiB live, 39.1MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	137	12	149
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	137	13	150

Accuracy

98.7%

Counts

150 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.9%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
	51.1%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
	47.3%	(log1p.f64 (exp.f64 b))
▶	47.4%	(log1p.f64 (exp.f64 a))
	46.0%	(log.f64 (+.f64 (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.f64 b)))
	47.3%	(log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
	45.7%	(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
	49.7%	(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))))
▶	49.2%	(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))))
▶	48.6%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	51.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	47.3%	(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶	47.3%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))

Compiler

Compiled 254 to 188 computations (26% saved)

simplify9.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	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	(+.f64 #s(literal 1 binary64) b)
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))
✓	cost-diff	192	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	cost-diff	0	(exp.f64 b)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	cost-diff	192	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(log1p.f64 (exp.f64 a))
✓	cost-diff	0	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(log1p.f64 (exp.f64 a))
✓	cost-diff	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))

Rules

180×	`accelerator-lowering-fma.f32`
180×	`accelerator-lowering-fma.f64`
112×	`+-lowering-+.f64`
112×	`+-lowering-+.f32`
66×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	119
1	43	119
2	71	119
3	119	119
4	136	119
5	142	119
0	142	100

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize158.0ms (1.3%)

Memory

0.8MiB live, 155.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(exp.f64 a)
✓	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	52.6%	(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%	(+.f64 #s(literal 1 binary64) b)
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))
✓	accuracy	52.6%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	accuracy	98.4%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(/.f64 b (+.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))))
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))

Samples

43.0ms	45×	2	valid
38.0ms	82×	1	valid
30.0ms	127×	0	valid
1.0ms	1×	3	valid
1.0ms	1×	5	exit

Compiler

Compiled 108 to 23 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-log: 35.0ms (38.1% of total)

ival-add: 24.0ms (26.1% of total)

adjust: 10.0ms (10.9% of total)

ival-log1p: 8.0ms (8.7% of total)

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

ival-mult: 4.0ms (4.4% of total)

ival-div: 3.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

series227.0ms (1.8%)

Memory

19.5MiB live, 291.8MiB allocated

Counts

15 → 252

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
61.0ms	a	@	inf	(log (+ (exp a) (+ 1 b)))
35.0ms	a	@	inf	(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
26.0ms	a	@	-inf	(log (+ (exp a) (+ 1 b)))
20.0ms	a	@	inf	(log (+ (exp a) (+ (* b (+ (* b 1/2) 1)) 1)))
19.0ms	a	@	-inf	(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))

rewrite306.0ms (2.5%)

Memory

9.9MiB live, 436.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 532×	`accelerator-lowering-fma.f32`
4 532×	`accelerator-lowering-fma.f64`
4 308×	`/-lowering-/.f32`
4 308×	`/-lowering-/.f64`
3 388×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	95
1	134	95
2	1283	95
0	8301	78

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 586

Calls

Call 1

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

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

simplify355.0ms (2.8%)

Memory

5.3MiB live, 550.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 532×	`accelerator-lowering-fma.f32`
10 532×	`accelerator-lowering-fma.f64`
5 834×	`+-lowering-+.f64`
5 834×	`+-lowering-+.f32`
4 516×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	350	2464
1	1026	2405
2	2968	2351
0	8288	2015

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

Outputs
(+ (log 2) (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(fma.f64 #s(literal 1/2 binary64) b (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(fma.f64 #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 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (*.f64 b a) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(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 #s(literal -1/192 binary64) (*.f64 a a) #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 #s(literal 1/2 binary64) b (.f64 a (fma.f64 a (.f64 (.f64 b a) #s(literal 1/48 binary64)) (.f64 b #s(literal -1/4 binary64)))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(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))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(+ (log (+ 2 b)) (/ a (+ 2 b)))
(+.f64 (log.f64 (+.f64 #s(literal 2 binary64) b)) (/.f64 a (+.f64 #s(literal 2 binary64) b)))
(+ (log (+ 2 b)) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2))))) (/ 1 (+ 2 b)))))
(fma.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) b)) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) b) (+.f64 #s(literal 2 binary64) b)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b))) (log.f64 (+.f64 #s(literal 2 binary64) b)))
(+ (log (+ 2 b)) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 b) 3))) (/ 1 (+ 2 b))) (* 3 (/ 1 (pow (+ 2 b) 2)))))) (* 1/2 (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2)))))) (/ 1 (+ 2 b)))))
(fma.f64 a (fma.f64 a (fma.f64 (.f64 a #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2 binary64) b) (.f64 (+.f64 #s(literal 2 binary64) b) (+.f64 #s(literal 2 binary64) b)))) (/.f64 #s(literal -3 binary64) (.f64 (+.f64 #s(literal 2 binary64) b) (+.f64 #s(literal 2 binary64) b))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) b)) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) b) (+.f64 #s(literal 2 binary64) b))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b))) (log.f64 (+.f64 #s(literal 2 binary64) b)))
(log (+ 1 (+ b (exp a))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log (+ 1 (+ b (exp a))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log (+ 1 (+ b (exp a))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log (+ 1 (+ b (exp a))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log (+ 1 (+ b (exp a))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log (+ 1 (+ b (exp a))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log (+ 1 (+ b (exp a))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log (+ 1 (+ b (exp a))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(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 (pow (+ 1 (exp a)) 2))) (/ 1 (+ 1 (exp a))))))
(fma.f64 b (fma.f64 #s(literal -1/2 binary64) (/.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 (- (* 1/3 (/ b (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/3 binary64) (/.f64 b (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)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(* -1 (log (/ 1 b)))
(log.f64 b)
(+ (* -1 (log (/ 1 b))) (+ (/ 1 b) (/ (exp a) b)))
(+.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (log.f64 b) (/.f64 (exp.f64 a) b)))
(+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (/ 1 b) (/ (exp a) b))))
(+.f64 (log.f64 b) (+.f64 (/.f64 #s(literal 1 binary64) b) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 (exp.f64 a) b))))
(+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (* 1/3 (/ (pow (+ 1 (exp a)) 3) (pow b 3))) (+ (/ 1 b) (/ (exp a) b)))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal 3 binary64)) (+.f64 (log.f64 b) (+.f64 (/.f64 #s(literal 1 binary64) b) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 (exp.f64 a) b)))))
(+ (log -1) (* -1 (log (/ -1 b))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (+ (/ 1 b) (/ (exp a) b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b)))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* 1/2 (/ (pow (+ 1 (exp a)) 2) b))) b))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) b) #s(literal -1 binary64)) (exp.f64 a)) b))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* -1 (/ (+ (* -1/2 (pow (+ 1 (exp a)) 2)) (* 1/3 (/ (pow (+ 1 (exp a)) 3) b))) b))) b))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)) b) (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b)) b) (log.f64 (/.f64 #s(literal -1 binary64) b))))
(+ 2 b)
(+.f64 #s(literal 2 binary64) b)
(+ 2 (+ a b))
(+.f64 #s(literal 2 binary64) (+.f64 b a))
(+ 2 (+ b (* a (+ 1 (* 1/2 a)))))
(+.f64 b (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+.f64 #s(literal 2 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) b))
(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
b
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
(fma.f64 b (/.f64 (exp.f64 a) b) (+.f64 b #s(literal 1 binary64)))
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
(fma.f64 b (/.f64 (exp.f64 a) b) (+.f64 b #s(literal 1 binary64)))
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
(fma.f64 b (/.f64 (exp.f64 a) b) (+.f64 b #s(literal 1 binary64)))
b
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
(fma.f64 b (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) (neg.f64 b)) b)
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
(fma.f64 b (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) (neg.f64 b)) b)
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
(fma.f64 b (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) (neg.f64 b)) b)
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 b #s(literal 1 binary64))
(+ 1 b)
(+.f64 b #s(literal 1 binary64))
(+ 1 b)
(+.f64 b #s(literal 1 binary64))
b
(* b (+ 1 (/ 1 b)))
(+.f64 b #s(literal 1 binary64))
(* b (+ 1 (/ 1 b)))
(+.f64 b #s(literal 1 binary64))
(* b (+ 1 (/ 1 b)))
(+.f64 b #s(literal 1 binary64))
b
(* b (+ 1 (/ 1 b)))
(+.f64 b #s(literal 1 binary64))
(* b (+ 1 (/ 1 b)))
(+.f64 b #s(literal 1 binary64))
(* b (+ 1 (/ 1 b)))
(+.f64 b #s(literal 1 binary64))
(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 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 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 #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 b (+.f64 (/.f64 #s(literal -1/2 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 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 (fma.f64 b (*.f64 #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 (/.f64 #s(literal -1/2 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 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+ (log 1/2) (* -2 (log (/ 1 b))))
(fma.f64 #s(literal 2 binary64) (log.f64 b) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (* 2 (/ 1 b))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 b) (/.f64 #s(literal 2 binary64) b)))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp a))) 4) (pow b 2))) (* 2 (/ 1 b)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 b) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (exp.f64 a) #s(literal 4 binary64) #s(literal 0 binary64)) (*.f64 b b)) (/.f64 #s(literal 2 binary64) 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))))))
(+.f64 (fma.f64 #s(literal 2 binary64) (log.f64 b) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (exp.f64 a) #s(literal 4 binary64) #s(literal 0 binary64)) (.f64 b b)) (/.f64 #s(literal 2 binary64) b))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (exp.f64 a) #s(literal -24 binary64) #s(literal -8 binary64)) (.f64 b (*.f64 b b))) (log.f64 #s(literal 1/2 binary64))))
(+ (log 1/2) (* -2 (log (/ -1 b))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal -2 binary64) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* 2 (/ 1 b))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) b)))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1/2 (/ (- (* 4 (+ 1 (exp a))) 4) b)) 2) b))))
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal -2 binary64) (log.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (exp.f64 a) #s(literal 4 binary64) #s(literal 0 binary64)) b) #s(literal -2 binary64)) 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))))
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal -2 binary64) (log.f64 #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 a) #s(literal 4 binary64) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) (fma.f64 (exp.f64 a) #s(literal 24 binary64) #s(literal 8 binary64))) b)) b)) 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 (+ a (* b (+ 1 (* 1/2 b)))))
(+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* 1/2 (pow b 2))
(.f64 #s(literal 1/2 binary64) (.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2))))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (fma.f64 b (/.f64 (exp.f64 a) b) #s(literal 1 binary64)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2))))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (fma.f64 b (/.f64 (exp.f64 a) b) #s(literal 1 binary64)))
(* 1/2 (pow b 2))
(.f64 #s(literal 1/2 binary64) (.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) (fma.f64 b (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) (neg.f64 b)) b))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) (fma.f64 b (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) (neg.f64 b)) b))
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 b #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow b 2))
(.f64 #s(literal 1/2 binary64) (.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow b 2))
(.f64 #s(literal 1/2 binary64) (.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(+ 1 (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(+ 1 (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))

eval117.0ms (0.9%)

Memory: -0.1MiB live, 187.1MiB allocated
Compiler: Compiled 20 188 to 2 414 computations (88% saved)

prune106.0ms (0.8%)

Memory

-12.8MiB live, 204.3MiB allocated

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	912	15	927
Fresh	2	5	7
Picked	4	1	5
Done	0	1	1
Total	918	22	940

Accuracy

98.7%

Counts

940 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.1%	(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)))
▶	46.4%	(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	44.9%	(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	45.0%	(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	46.0%	(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
▶	44.9%	(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)))
	75.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (-.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))
▶	96.7%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
	57.0%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))))
	43.6%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
▶	47.3%	(log1p.f64 (exp.f64 b))
✓	47.4%	(log1p.f64 (exp.f64 a))
	45.3%	(log1p.f64 #s(literal 1 binary64))
	46.0%	(log.f64 (+.f64 (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.f64 b)))
	47.3%	(log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
	45.7%	(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
✓	51.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	47.3%	(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
	45.8%	(log.f64 (+.f64 #s(literal 2 binary64) b))
	2.5%	(log.f64 (.f64 #s(literal 1/2 binary64) (.f64 b b)))
▶	1.5%	(log.f64 b)

Compiler

Compiled 435 to 318 computations (26.9% saved)

simplify7.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 b)
✓	cost-diff	0	(log1p.f64 (exp.f64 b))
✓	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	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(log.f64 b)
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(log1p.f64 (exp.f64 a))
✓	cost-diff	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))

Rules

88×	`accelerator-lowering-fma.f32`
88×	`accelerator-lowering-fma.f64`
66×	`-lowering-.f32`
66×	`-lowering-.f64`
44×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	85
1	42	85
2	62	81
3	72	81
4	103	81
5	104	81
0	104	71

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize69.0ms (0.5%)

Memory

-20.1MiB live, 95.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	98.5%	(log1p.f64 (exp.f64 b))
✓	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%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(log.f64 b)
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)
✓	accuracy	100.0%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))

Samples

27.0ms	160×	0	valid
15.0ms	96×	0	invalid

Compiler

Compiled 77 to 24 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-add: 6.0ms (20.2% of total)

ival-log: 5.0ms (16.9% of total)

ival-log1p: 5.0ms (16.9% of total)

ival-div: 4.0ms (13.5% of total)

ival-exp: 4.0ms (13.5% of total)

ival-mult: 4.0ms (13.5% of total)

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

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

exact: 0.0ms (0% of total)

series45.0ms (0.4%)

Memory

5.6MiB live, 44.6MiB allocated

Counts

12 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
20.0ms	b	@	-inf	(log b)
12.0ms	b	@	0	(log b)
5.0ms	b	@	inf	(log b)
3.0ms	a	@	0	(+ (* 1/2 a) (log 2))
0.0ms	b	@	0	(+ (* b (+ (* b 1/8) 1/2)) (log 2))

rewrite527.0ms (4.2%)

Memory

1.0MiB live, 321.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 682×	`accelerator-lowering-fma.f32`
9 682×	`accelerator-lowering-fma.f64`
5 126×	`-lowering-.f32`
5 126×	`-lowering-.f64`
3 130×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	67
1	127	63
2	1050	63
0	8322	53

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 385

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) #s(literal 1 binary64)) (.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (*.f64 (exp.f64 a) (expm1.f64 a))))
(+.f64 (.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (.f64 (exp.f64 a) (expm1.f64 a))) (.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) #s(literal 1 binary64)) (.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (neg.f64 (exp.f64 a))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))))) (.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))))))
(+.f64 (.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))))) (.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) (.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))
(exp.f64 (log.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(-.f64 #s(literal 0 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(fma.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (*.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))
(fma.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))))))
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) #s(literal 1 binary64) (.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (.f64 (exp.f64 a) (expm1.f64 a))))
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (.f64 (exp.f64 a) (expm1.f64 a)) (.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) #s(literal 1 binary64)))
(fma.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) #s(literal 1 binary64) (*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (neg.f64 (exp.f64 a))))
(neg.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(neg.f64 (/.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b))
(/.f64 (neg.f64 b) (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) b))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 b (.f64 b #s(literal 1/64 binary64))) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 b (.f64 b #s(literal 1/64 binary64))) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64)))) (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (.f64 b (.f64 b #s(literal 1/64 binary64))) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 b (.f64 b #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (*.f64 b #s(literal -1/16 binary64)))))
(.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 b (-.f64 (*.f64 b #s(literal 1/64 binary64)) #s(literal 1/16 binary64))))))
(.f64 (fma.f64 b (.f64 b #s(literal 1/64 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/512 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 b (.f64 b #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (*.f64 b #s(literal -1/16 binary64))))))
(.f64 (neg.f64 (fma.f64 b (.f64 b #s(literal 1/64 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/64 binary64) (.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+.f64 (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (exp.f64 (.f64 b #s(literal 3 binary64)))) (neg.f64 (log1p.f64 (.f64 (exp.f64 b) (expm1.f64 b)))))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 b b)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 b b)))) (neg.f64 (log1p.f64 (neg.f64 (exp.f64 b)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(-.f64 (log1p.f64 (exp.f64 (.f64 b #s(literal 3 binary64)))) (log1p.f64 (.f64 (exp.f64 b) (expm1.f64 b))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))) (log.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 b b)))) (log1p.f64 (neg.f64 (exp.f64 b))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (log.f64 (neg.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(-.f64 (log.f64 (expm1.f64 (+.f64 b b))) (log.f64 (expm1.f64 b)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (.f64 b #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (exp.f64 b) (expm1.f64 b))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 (.f64 b #s(literal 3 binary64)))) (log1p.f64 (exp.f64 (.f64 b #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (.f64 (exp.f64 b) (expm1.f64 b))) (log1p.f64 (.f64 (exp.f64 b) (expm1.f64 b))) (.f64 (log1p.f64 (exp.f64 (.f64 b #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 b) (expm1.f64 b)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 b b)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (exp.f64 b))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 b b)))) (log1p.f64 (neg.f64 (exp.f64 (+.f64 b b)))) (fma.f64 (log1p.f64 (neg.f64 (exp.f64 b))) (log1p.f64 (neg.f64 (exp.f64 b))) (*.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 b b)))) (log1p.f64 (neg.f64 (exp.f64 b)))))))
(/.f64 (-.f64 (.f64 (log1p.f64 (exp.f64 (.f64 b #s(literal 3 binary64)))) (log1p.f64 (exp.f64 (.f64 b #s(literal 3 binary64))))) (.f64 (log1p.f64 (.f64 (exp.f64 b) (expm1.f64 b))) (log1p.f64 (.f64 (exp.f64 b) (expm1.f64 b))))) (+.f64 (log1p.f64 (exp.f64 (.f64 b #s(literal 3 binary64)))) (log1p.f64 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (-.f64 (.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 b b)))) (log1p.f64 (neg.f64 (exp.f64 (+.f64 b b))))) (.f64 (log1p.f64 (neg.f64 (exp.f64 b))) (log1p.f64 (neg.f64 (exp.f64 b))))) (+.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 b b)))) (log1p.f64 (neg.f64 (exp.f64 b)))))
(log1p.f64 (exp.f64 b))
(exp.f64 b)
(*.f64 #s(literal 1 binary64) (exp.f64 b))
(*.f64 (exp.f64 b) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 #s(literal 1 binary64) b) (exp.f64 a)))
(+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) b)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (exp.f64 a)) (/.f64 #s(literal 1 binary64) b))
(+.f64 (*.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) b))
(exp.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(exp.f64 (*.f64 (log.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) b) (/.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) b))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b)) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 (+.f64 a a)) (.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 #s(literal 1 binary64) b) (exp.f64 a)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b) (*.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) b)))
(fma.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b) (*.f64 (/.f64 #s(literal 1 binary64) b) (exp.f64 a)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b) (*.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) b)))
(fma.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (exp.f64 a)))
(fma.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64) (*.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) b)))
(fma.f64 (/.f64 #s(literal 1 binary64) b) (exp.f64 a) (/.f64 #s(literal 1 binary64) b))
(fma.f64 (pow.f64 b #s(literal -1/2 binary64)) (pow.f64 b #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) b) (exp.f64 a)))
(fma.f64 (pow.f64 b #s(literal -1/2 binary64)) (pow.f64 b #s(literal -1/2 binary64)) (*.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) b)))
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b))
(/.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 (exp.f64 a) (expm1.f64 a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) b) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) b) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) b)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) (neg.f64 b))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))) (.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) b))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))) (fma.f64 b (.f64 (exp.f64 a) (expm1.f64 a)) b))
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (*.f64 b (-.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 b (.f64 (exp.f64 a) (expm1.f64 a)) b)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (neg.f64 (.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) b)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (neg.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) b) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) b) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) b)) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) b)) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal 1 binary64))
(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b))
(*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) (/.f64 #s(literal -1 binary64) b))
(.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) (.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (exp.f64 a) (expm1.f64 a)) b)))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) b)))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) b)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))) b))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) b))
(*.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 #s(literal -1 binary64) b))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) b) (+.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 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))))

simplify715.0ms (5.7%)

Memory

36.2MiB live, 422.0MiB allocated

Algorithm

1×	egg-herbie

Rules

25 146×	`accelerator-lowering-fma.f32`
25 146×	`accelerator-lowering-fma.f64`
4 260×	`-lowering-.f32`
4 260×	`-lowering-.f64`
3 230×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	1147
1	492	1120
2	1344	1097
3	3944	1087
0	8224	946

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval134.0ms (1.1%)

Memory: 3.8MiB live, 81.7MiB allocated
Compiler: Compiled 10 676 to 1 269 computations (88.1% saved)

prune127.0ms (1%)

Memory

-10.3MiB live, 104.9MiB allocated

Pruning

28 alts after pruning (22 fresh and 6 done)

	Pruned	Kept	Total
New	558	11	569
Fresh	4	11	15
Picked	1	4	5
Done	0	2	2
Total	563	28	591

Accuracy

98.7%

Counts

591 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.4%	(fma.f64 (*.f64 b b) #s(literal 1/8 binary64) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
	46.1%	(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	46.4%	(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	46.0%	(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
	44.9%	(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	45.0%	(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	44.9%	(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
	61.8%	(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))) (fma.f64 b (.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))))
	54.3%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
▶	75.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (-.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))
	59.1%	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	55.0%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)))
	57.0%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
	12.3%	(*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
	5.3%	(.f64 b (.f64 b #s(literal 1/8 binary64)))
▶	2.7%	(*.f64 #s(literal 1/2 binary64) a)
	45.8%	(log1p.f64 (+.f64 b #s(literal 1 binary64)))
▶	43.6%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
✓	47.3%	(log1p.f64 (exp.f64 b))
✓	47.4%	(log1p.f64 (exp.f64 a))
	45.3%	(log1p.f64 #s(literal 1 binary64))
	46.0%	(log.f64 (+.f64 (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.f64 b)))
▶	47.3%	(log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
	45.7%	(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
✓	51.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	47.3%	(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
	45.8%	(log.f64 (+.f64 #s(literal 2 binary64) b))
✓	1.5%	(log.f64 b)

Compiler

Compiled 573 to 407 computations (29% saved)

simplify396.0ms (3.2%)

Memory

8.8MiB live, 287.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))
✓	cost-diff	192	(log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	320	(fma.f64 (*.f64 b b) #s(literal 1/8 binary64) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(+.f64 a #s(literal 1 binary64))
✓	cost-diff	0	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) a)
✓	cost-diff	0	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	cost-diff	0	(-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
✓	cost-diff	0	(/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (-.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (-.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))

Rules

7 376×	`accelerator-lowering-fma.f32`
7 376×	`accelerator-lowering-fma.f64`
2 798×	`-lowering-.f32`
2 798×	`-lowering-.f64`
1 406×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	230
1	74	226
2	138	224
3	269	224
4	562	224
5	1128	224
6	2733	224
7	4252	224
8	4775	224
9	5246	224
10	5875	224
11	6389	224
12	6517	224
13	6549	224
14	6549	224
15	6598	224
16	6606	224
17	6606	224
18	7439	224
0	8023	196

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize108.0ms (0.9%)

Memory

-9.1MiB live, 187.2MiB allocated

Localize:

Found 15 expressions of interest:

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

Samples

35.0ms	123×	0	valid
31.0ms	133×	0	invalid

Compiler

Compiled 204 to 36 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 10.0ms (20.4% of total)

ival-add: 8.0ms (16.3% of total)

ival-exp: 7.0ms (14.3% of total)

ival-log: 6.0ms (12.2% of total)

ival-div: 5.0ms (10.2% of total)

ival-log1p: 5.0ms (10.2% of total)

ival-sub: 3.0ms (6.1% of total)

ival-pow: 2.0ms (4.1% of total)

ival-pow2: 2.0ms (4.1% of total)

exact: 1.0ms (2% of total)

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

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

series69.0ms (0.6%)

Memory

-1.1MiB live, 115.9MiB allocated

Counts

18 → 288

Calls

Call 1

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

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

72 calls:

Time	Variable		Point	Expression
20.0ms	b	@	inf	(log (+ (+ (* a (+ (* a 1/2) 1)) 1) (exp b)))
17.0ms	b	@	-inf	(log (+ (+ (* a (+ (* a 1/2) 1)) 1) (exp b)))
3.0ms	b	@	inf	(+ (* (* b b) 1/8) (+ (* b 1/2) (log 2)))
2.0ms	a	@	0	(/ 1 (/ (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))) (- (* (* b b) (pow (+ 1 (exp a)) -2)) (pow (log (+ 1 (exp a))) 2))))
2.0ms	a	@	inf	(/ 1 (/ (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))) (- (* (* b b) (pow (+ 1 (exp a)) -2)) (pow (log (+ 1 (exp a))) 2))))

rewrite311.0ms (2.5%)

Memory

2.8MiB live, 594.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 584×	`/-lowering-/.f32`
4 584×	`/-lowering-/.f64`
4 270×	`-lowering-.f32`
4 270×	`-lowering-.f64`
2 862×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	175
1	219	131
2	2013	131
0	8222	111

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 667

Calls

Call 1

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

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

simplify340.0ms (2.7%)

Memory

36.2MiB live, 631.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 308×	`accelerator-lowering-fma.f32`
9 308×	`accelerator-lowering-fma.f64`
5 736×	`-lowering-.f32`
5 736×	`-lowering-.f64`
3 164×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	534	4863
1	1635	4649
2	5307	4602
0	8383	4124

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(/ b (+ 1 (exp a)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(/ (- (* 1/4 (pow b 2)) (pow (log 2) 2)) (- (* 1/2 b) (log 2)))
(- (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))
(- (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (+ (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* a (- (* -1 (/ (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))))))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))
(- (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (+ (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* a (- (+ (* -1 (/ (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))) (- (* 1/2 b) (log 2)))) (* a (- (* -1 (/ (+ 1/8 (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2))))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))))))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))
(/ (- (/ (pow b 2) (pow (+ 1 (exp a)) 2)) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))))
(/ (- (/ (pow b 2) (pow (+ 1 (exp a)) 2)) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))))
(/ (- (/ (pow b 2) (pow (+ 1 (exp a)) 2)) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))))
(/ (- (/ (pow b 2) (pow (+ 1 (exp a)) 2)) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))))
(/ (- (/ (pow b 2) (pow (+ 1 (exp a)) 2)) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))))
(/ (- (/ (pow b 2) (pow (+ 1 (exp a)) 2)) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))))
(/ (- (/ (pow b 2) (pow (+ 1 (exp a)) 2)) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))))
(/ (- (/ (pow b 2) (pow (+ 1 (exp a)) 2)) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))))
(/ 1 (log (+ 1 (exp a))))
(+ (* -1 (/ b (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))))) (/ 1 (log (+ 1 (exp a)))))
(+ (* b (- (/ b (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2))) (/ 1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) (/ 1 (log (+ 1 (exp a)))))
(+ (* b (- (* b (+ (* -1 (/ b (* (pow (log (+ 1 (exp a))) 4) (pow (+ 1 (exp a)) 3)))) (/ 1 (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) (/ 1 (log (+ 1 (exp a)))))
(/ (+ 1 (exp a)) b)
(/ (+ 1 (+ (exp a) (* -1 (/ (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)) b)))) b)
(/ (+ 1 (+ (exp a) (+ (* -1 (/ (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)) b)) (/ (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3)) (pow b 2))))) b)
(/ (- (+ 1 (+ (exp a) (+ (* -1 (/ (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)) b)) (* -1 (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 4)) (pow b 3)))))) (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3)) (pow b 2)))) b)
(/ (+ 1 (exp a)) b)
(* -1 (/ (+ (* -1 (+ 1 (exp a))) (/ (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)) b)) b))
(* -1 (/ (+ (* -1 (+ 1 (exp a))) (* -1 (/ (+ (* -1 (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (/ (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3)) b)) b))) b))
(* -1 (/ (+ (* -1 (+ 1 (exp a))) (* -1 (/ (+ (* -1 (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3))) (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 4)) b)) b))) b))) b))
(/ (- (* 1/2 b) (log 2)) (- (* 1/4 (pow b 2)) (pow (log 2) 2)))
(- (+ (* 1/2 (/ b (- (* 1/4 (pow b 2)) (pow (log 2) 2)))) (* a (- (* -1 (/ (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2)))) (* -1 (/ (* (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2))) (pow (- (* 1/4 (pow b 2)) (pow (log 2) 2)) 2)))))) (/ (log 2) (- (* 1/4 (pow b 2)) (pow (log 2) 2))))
(- (+ (* 1/2 (/ b (- (* 1/4 (pow b 2)) (pow (log 2) 2)))) (* a (- (+ (* -1 (/ (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2)))) (* a (- (* -1 (/ (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2)))) (+ (* -1 (/ (* (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))) (- (* 1/2 b) (log 2))) (pow (- (* 1/4 (pow b 2)) (pow (log 2) 2)) 2))) (* -1 (/ (* (+ (log 2) (* 1/4 (pow b 2))) (- (* -1 (/ (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2)))) (* -1 (/ (* (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2))) (pow (- (* 1/4 (pow b 2)) (pow (log 2) 2)) 2))))) (- (* 1/4 (pow b 2)) (pow (log 2) 2)))))))) (* -1 (/ (* (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2))) (pow (- (* 1/4 (pow b 2)) (pow (log 2) 2)) 2)))))) (/ (log 2) (- (* 1/4 (pow b 2)) (pow (log 2) 2))))
(- (+ (* 1/2 (/ b (- (* 1/4 (pow b 2)) (pow (log 2) 2)))) (* a (- (+ (* -1 (/ (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2)))) (* a (- (+ (* -1 (/ (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2)))) (* a (- (* -1 (/ (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2))))) (- (* 1/2 b) (log 2))) (pow (- (* 1/4 (pow b 2)) (pow (log 2) 2)) 2))) (+ (* -1 (/ (* (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))) (- (* -1 (/ (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2)))) (* -1 (/ (* (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2))) (pow (- (* 1/4 (pow b 2)) (pow (log 2) 2)) 2))))) (- (* 1/4 (pow b 2)) (pow (log 2) 2)))) (* -1 (/ (* (+ (log 2) (* 1/4 (pow b 2))) (- (* -1 (/ (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2)))) (+ (* -1 (/ (* (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))) (- (* 1/2 b) (log 2))) (pow (- (* 1/4 (pow b 2)) (pow (log 2) 2)) 2))) (* -1 (/ (* (+ (log 2) (* 1/4 (pow b 2))) (- (* -1 (/ (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2)))) (* -1 (/ (* (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2))) (pow (- (* 1/4 (pow b 2)) (pow (log 2) 2)) 2))))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))))))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))))))))) (+ (* -1 (/ (* (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))) (- (* 1/2 b) (log 2))) (pow (- (* 1/4 (pow b 2)) (pow (log 2) 2)) 2))) (* -1 (/ (* (+ (log 2) (* 1/4 (pow b 2))) (- (* -1 (/ (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2)))) (* -1 (/ (* (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2))) (pow (- (* 1/4 (pow b 2)) (pow (log 2) 2)) 2))))) (- (* 1/4 (pow b 2)) (pow (log 2) 2)))))))) (* -1 (/ (* (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2))) (pow (- (* 1/4 (pow b 2)) (pow (log 2) 2)) 2)))))) (/ (log 2) (- (* 1/4 (pow b 2)) (pow (log 2) 2))))
(/ (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))) (- (/ (pow b 2) (pow (+ 1 (exp a)) 2)) (pow (log (+ 1 (exp a))) 2)))
(/ (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))) (- (/ (pow b 2) (pow (+ 1 (exp a)) 2)) (pow (log (+ 1 (exp a))) 2)))
(/ (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))) (- (/ (pow b 2) (pow (+ 1 (exp a)) 2)) (pow (log (+ 1 (exp a))) 2)))
(/ (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))) (- (/ (pow b 2) (pow (+ 1 (exp a)) 2)) (pow (log (+ 1 (exp a))) 2)))
(/ (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))) (- (/ (pow b 2) (pow (+ 1 (exp a)) 2)) (pow (log (+ 1 (exp a))) 2)))
(/ (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))) (- (/ (pow b 2) (pow (+ 1 (exp a)) 2)) (pow (log (+ 1 (exp a))) 2)))
(/ (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))) (- (/ (pow b 2) (pow (+ 1 (exp a)) 2)) (pow (log (+ 1 (exp a))) 2)))
(/ (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))) (- (/ (pow b 2) (pow (+ 1 (exp a)) 2)) (pow (log (+ 1 (exp a))) 2)))
(* -1 (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)))
(* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))
(* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))
(* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))
(/ b (+ 1 (exp a)))
(* -1 (* b (- (/ (log (+ 1 (exp a))) b) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (/ (log (+ 1 (exp a))) b) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (/ (log (+ 1 (exp a))) b) (/ 1 (+ 1 (exp a))))))
(- (* 1/2 b) (log 2))
(- (+ (* -1 (* a (+ 1/2 (* 1/4 b)))) (* 1/2 b)) (log 2))
(- (+ (* 1/2 b) (* a (- (* -1 (* a (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (+ 1/2 (* 1/4 b))))) (log 2))
(- (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (+ 1/2 (* 1/4 b))))) (log 2))
(- (/ 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))))
(/ 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)))
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* -1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (- (* 1/24 a) 1/8)))))
(* -1 (log (/ 1 a)))
(+ (* -1 (log (/ 1 a))) (* 2 (/ 1 a)))
(- (+ (* -1 (log (/ 1 a))) (* 2 (/ 1 a))) (/ 2 (pow a 2)))
(- (+ (* -1 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (* 8/3 (/ 1 (pow a 3))))) (/ 2 (pow a 2)))
(+ (log -1) (* -1 (log (/ -1 a))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* 2 (/ 1 a))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (- (* 2 (/ 1 a)) 2) a))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 a)) 2) a)) 2) a))))
1
(+ 1 a)
(+ 1 a)
(+ 1 a)
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(log 2)
(+ (log 2) (* 1/2 b))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(* 1/8 (pow b 2))
(* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))
(* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))
(* 1/8 (pow b 2))
(* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))
(* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(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)))
(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))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(+ (log 1/2) (* -2 (log (/ 1 a))))
(+ (log 1/2) (+ (* -2 (log (/ 1 a))) (* 2 (/ 1 a))))
(+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp b))) 4) (pow a 2))) (* 2 (/ 1 a)))))
(+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 1/6 (/ (+ 16 (* -24 (+ 1 (exp b)))) (pow a 3))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp b))) 4) (pow a 2))) (* 2 (/ 1 a))))))
(+ (log 1/2) (* -2 (log (/ -1 a))))
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* 2 (/ 1 a))))
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* -1 (/ (- (* -1/2 (/ (- (* 4 (+ 1 (exp b))) 4) a)) 2) a))))
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- (* 24 (+ 1 (exp b))) 16) a)) (* 1/2 (- (* 4 (+ 1 (exp b))) 4))) a)) 2) a))))
(log (+ 2 (* a (+ 1 (* 1/2 a)))))
(+ (log (+ 2 (* a (+ 1 (* 1/2 a))))) (/ b (+ 2 (* a (+ 1 (* 1/2 a))))))
(+ (log (+ 2 (* a (+ 1 (* 1/2 a))))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))))))
(+ (log (+ 2 (* a (+ 1 (* 1/2 a))))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (/ 1 (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 3 (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (* 1/2 (- (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))))))
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (+ b (* a (+ 1 (* 1/2 a)))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* 1/2 a))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
1
(+ 1 (* 1/2 a))
(+ 1 (* 1/2 a))
(+ 1 (* 1/2 a))
(* 1/2 a)
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* 1/2 a)
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(pow (log 2) 2)
(+ (* a (log 2)) (pow (log 2) 2))
(+ (* a (+ (log 2) (* a (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))
(+ (* a (+ (log 2) (* a (+ 1/4 (+ (* 1/8 a) (* 1/4 (log 2))))))) (pow (log 2) 2))
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(* 1/4 (pow b 2))
(+ (* -1/4 (* a (pow b 2))) (* 1/4 (pow b 2)))
(+ (* 1/4 (pow b 2)) (* a (- (* -1 (* a (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (* 1/4 (pow b 2)))))
(+ (* 1/4 (pow b 2)) (* a (- (* a (- (* -1 (* a (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (* 1/4 (pow b 2)))))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
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 a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (- (* 1/4 (pow b 2)) (pow (log 2) 2)) (- (* 1/2 b) (log 2)))
(/.f64 (-.f64 (.f64 b (.f64 b #s(literal 1/4 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(- (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))
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(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))
(.f64 (.f64 a a) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)) a)))
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))
(.f64 (.f64 a a) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)) a)))
(+ 2 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (+ b (* a (+ 1 (* 1/2 a)))))
(+.f64 #s(literal 2 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) b))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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
#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 (* 1/2 a))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow a 2))
(.f64 a (.f64 a #s(literal 1/2 binary64)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a)
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow a 2))
(.f64 a (.f64 a #s(literal 1/2 binary64)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a)
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 a))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 a))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 a))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 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 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) a) (.f64 (.f64 a a) (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 1/4 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 a (.f64 a (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/4 binary64))))))
(pow (log (+ 1 (exp a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(pow (log (+ 1 (exp a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(pow (log (+ 1 (exp a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(pow (log (+ 1 (exp a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(pow (log (+ 1 (exp a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(pow (log (+ 1 (exp a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(pow (log (+ 1 (exp a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(pow (log (+ 1 (exp a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(* 1/4 (pow b 2))
(.f64 b (.f64 b #s(literal 1/4 binary64)))
(+ (* -1/4 (* a (pow b 2))) (* 1/4 (pow b 2)))
(.f64 (.f64 b b) (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/4 binary64)))
(+ (* 1/4 (pow b 2)) (* a (- (* -1 (* a (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (* 1/4 (pow b 2)))))
(fma.f64 a (fma.f64 a (.f64 (.f64 b b) #s(literal 1/16 binary64)) (.f64 b (.f64 b #s(literal -1/4 binary64)))) (.f64 b (.f64 b #s(literal 1/4 binary64))))
(+ (* 1/4 (pow b 2)) (* a (- (* a (- (* -1 (* a (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (* 1/4 (pow b 2)))))
(fma.f64 a (fma.f64 a (-.f64 (.f64 (.f64 b b) #s(literal 1/16 binary64)) (.f64 a (fma.f64 b (.f64 b #s(literal -1/12 binary64)) (.f64 (.f64 b b) #s(literal 1/16 binary64))))) (.f64 b (.f64 b #s(literal -1/4 binary64)))) (.f64 b (.f64 b #s(literal 1/4 binary64))))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
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)

eval144.0ms (1.2%)

Memory: -17.1MiB live, 209.9MiB allocated
Compiler: Compiled 34 533 to 2 907 computations (91.6% saved)

prune123.0ms (1%)

Memory

7.2MiB live, 205.0MiB allocated

Pruning

31 alts after pruning (22 fresh and 9 done)

	Pruned	Kept	Total
New	969	6	975
Fresh	1	16	17
Picked	2	3	5
Done	0	6	6
Total	972	31	1 003

Accuracy

98.7%

Counts

1 003 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	46.4%	(fma.f64 (*.f64 b b) #s(literal 1/8 binary64) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
	12.3%	(fma.f64 (.f64 b b) #s(literal 1/8 binary64) (.f64 b #s(literal 1/2 binary64)))
	46.1%	(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	46.4%	(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	46.0%	(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
	44.9%	(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	45.0%	(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	44.9%	(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)))
	53.3%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (neg.f64 b)))
	47.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (-.f64 (exp.f64 (fma.f64 (log1p.f64 (exp.f64 a)) #s(literal -2 binary64) (*.f64 (log.f64 b) #s(literal 2 binary64)))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))
	46.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (-.f64 (.f64 b (*.f64 b #s(literal 1/4 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
	59.1%	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	55.0%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)))
	57.0%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
	12.3%	(*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
	12.3%	(.f64 b (.f64 b (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) b))))
	5.3%	(.f64 b (.f64 b #s(literal 1/8 binary64)))
✓	2.7%	(*.f64 #s(literal 1/2 binary64) a)
	47.3%	(log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b)))
	45.8%	(log1p.f64 (+.f64 b #s(literal 1 binary64)))
✓	43.6%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
✓	47.3%	(log1p.f64 (exp.f64 b))
✓	47.4%	(log1p.f64 (exp.f64 a))
	45.3%	(log1p.f64 #s(literal 1 binary64))
	46.0%	(log.f64 (+.f64 (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.f64 b)))
	45.7%	(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
✓	51.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	47.3%	(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
	45.8%	(log.f64 (+.f64 #s(literal 2 binary64) b))
✓	1.5%	(log.f64 b)

Compiler

Compiled 781 to 391 computations (49.9% saved)

regimes70.0ms (0.6%)

Memory

4.4MiB live, 123.1MiB allocated

Counts

45 → 2

Calls

Call 1

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

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

Calls

6 calls:

13.0ms	b
13.0ms	a
13.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
10.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
10.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
98.5%	2	`a`
96.9%	1	`b`
98.5%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.5%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.5%	2	`(exp.f64 a)`
96.9%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes37.0ms (0.3%)

Memory

10.7MiB live, 49.2MiB allocated

Counts

35 → 2

Calls

Call 1

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

4 calls:

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

Results

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes54.0ms (0.4%)

Memory

-13.2MiB live, 67.5MiB allocated

Counts

33 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
65.2%	2	`b`
55.0%	1	`(exp.f64 b)`
97.6%	2	`a`
97.6%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
97.6%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
97.6%	2	`(exp.f64 a)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes32.0ms (0.3%)

Memory

5.3MiB live, 43.8MiB allocated

Counts

31 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.6%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
97.6%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
97.6%	2	`(exp.f64 a)`
97.6%	2	`a`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes28.0ms (0.2%)

Memory

1.9MiB live, 40.2MiB allocated

Counts

27 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.3%	2	`a`
97.3%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
97.3%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
97.3%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes31.0ms (0.2%)

Memory

-10.2MiB live, 38.7MiB allocated

Counts

26 → 2

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	a
6.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes24.0ms (0.2%)

Memory

-4.3MiB live, 34.1MiB allocated

Counts

22 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
96.2%	2	`a`
96.2%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
96.2%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
96.2%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes22.0ms (0.2%)

Memory

33.8MiB live, 33.8MiB allocated

Counts

21 → 2

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	a
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
96.0%	2	`a`
96.0%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
96.0%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
96.0%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes20.0ms (0.2%)

Memory

-10.5MiB live, 27.8MiB allocated

Counts

17 → 2

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
96.0%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
96.0%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
96.0%	2	`a`
96.0%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes28.0ms (0.2%)

Memory

2.6MiB live, 41.2MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) a)
(.f64 b (.f64 b #s(literal 1/8 binary64)))
(*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(fma.f64 (.f64 b b) #s(literal 1/8 binary64) (.f64 b #s(literal 1/2 binary64)))
(.f64 b (.f64 b (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) b))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(log1p.f64 (+.f64 b #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 b #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 (fma.f64 b #s(literal 1/8 binary64) #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	b
5.0ms	a
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
46.4%	1	`(exp.f64 b)`
46.4%	1	`b`
54.1%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
54.1%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
54.1%	2	`a`
54.1%	2	`(exp.f64 a)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes19.0ms (0.2%)

Memory

-13.7MiB live, 26.5MiB allocated

Counts

15 → 2

Calls

Call 1

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

Calls

4 calls:

6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	a
4.0ms	(exp.f64 a)
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
53.6%	2	`a`
53.6%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
53.6%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
53.6%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes14.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs
(*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(log1p.f64 (+.f64 b #s(literal 1 binary64)))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
53.5%	2	`a`
53.5%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
53.5%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
53.5%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes14.0ms (0.1%)

Memory

-22.4MiB live, 16.2MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms	a
3.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
53.5%	2	`a`
53.5%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
53.5%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
53.5%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes10.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs
(*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(log1p.f64 #s(literal 1 binary64))

Calls

4 calls:

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
52.9%	2	`a`
52.9%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
52.9%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
52.9%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes15.0ms (0.1%)

Memory

-15.9MiB live, 22.9MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	a
3.0ms	b
2.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
2.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
12.3%	1	`(exp.f64 b)`
12.3%	1	`b`
12.3%	1	`a`
12.3%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
12.3%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
12.3%	1	`(exp.f64 a)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes8.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
5.3%	1	`b`
5.3%	1	`a`
5.3%	1	`(exp.f64 b)`
5.3%	1	`(exp.f64 a)`
5.3%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
5.3%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes7.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
2.7%	1	`(exp.f64 b)`
2.7%	1	`a`
2.7%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
2.7%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
2.7%	1	`(exp.f64 a)`
2.7%	1	`b`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch1.0ms (0%)

Memory

-38.1MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
1.0ms	2.0000000000000577	2.0000000001255245

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	1.0008093950008319	1.0362925134991159

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch10.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-3.3161437986754394	-0.758578877303695

Samples

5.0ms

96×

valid

Compiler

Compiled 167 to 125 computations (25.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-exp: 2.0ms (59.6% of total)

ival-log: 1.0ms (29.8% of total)

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

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

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

bsearch13.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-547.9373759961496	-3.3161437986754394

Samples

6.0ms	97×	0	valid
2.0ms	15×	1	valid

Compiler

Compiled 158 to 123 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-exp: 2.0ms (37.3% of total)

ival-log: 2.0ms (37.3% of total)

ival-add: 1.0ms (18.6% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.036292513499115886	0.46833151085457314

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	1.0809887552545308e-238	0.036292513499115886

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	1.0809887552545308e-238	0.036292513499115886

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	1.0809887552545308e-238	0.036292513499115886

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	1.0809887552545308e-238	0.036292513499115886

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	1.0809887552545308e-238	0.036292513499115886

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	1.0809887552545308e-238	0.036292513499115886

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	1.0809887552545308e-238	0.036292513499115886

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	1.0809887552545308e-238	0.036292513499115886

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	1.0809887552545308e-238	0.036292513499115886

Compiler

Compiled 11 to 11 computations (0% saved)

simplify13.0ms (0.1%)

Memory

-23.7MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
10×	`*-commutative_binary64`
2×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	268
1	90	268
2	92	268
3	93	268

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1125899906898919/562949953421312 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))))
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2296835809958953/2251799813685248 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 -7/4 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (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.f64 b))))
(if (<=.f64 a #s(literal -23 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/72057594037927936 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 733155940312959/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 733155940312959/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) #s(literal 733155940312959/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 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)))))
(if (<=.f64 (exp.f64 a) #s(literal 733155940312959/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888 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 733155940312959/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888 binary64)) (*.f64 b (fma.f64 b #s(literal 1/8 binary64) #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 (exp.f64 a) #s(literal 733155940312959/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888 binary64)) (*.f64 b (fma.f64 b #s(literal 1/8 binary64) #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 733155940312959/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888 binary64)) (*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log1p.f64 (+.f64 b #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 733155940312959/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888 binary64)) (*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 (+.f64 #s(literal 2 binary64) b)))
(if (<=.f64 (exp.f64 a) #s(literal 733155940312959/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888 binary64)) (*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log1p.f64 #s(literal 1 binary64)))
(*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 b (.f64 b #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/2 binary64) a)

Outputs
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1125899906898919/562949953421312 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))))
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1125899906898919/562949953421312 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))))
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2296835809958953/2251799813685248 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2296835809958953/2251799813685248 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 a #s(literal -7/4 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (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.f64 b))))
(if (<=.f64 a #s(literal -7/4 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 (exp.f64 b) (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)))))
(if (<=.f64 a #s(literal -23 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b))))
(if (<=.f64 a #s(literal -23 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/72057594037927936 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/72057594037927936 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 (exp.f64 b) (+.f64 a #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 733155940312959/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 733155940312959/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 733155940312959/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) #s(literal 733155940312959/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) #s(literal 733155940312959/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 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)))))
(if (<=.f64 (exp.f64 a) #s(literal 733155940312959/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/8 binary64) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 733155940312959/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888 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 733155940312959/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888 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 733155940312959/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888 binary64)) (*.f64 b (fma.f64 b #s(literal 1/8 binary64) #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 (exp.f64 a) #s(literal 733155940312959/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888 binary64)) (*.f64 b (fma.f64 b #s(literal 1/8 binary64) #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 733155940312959/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888 binary64)) (*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log1p.f64 (+.f64 b #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 733155940312959/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888 binary64)) (*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 (+.f64 #s(literal 2 binary64) b)))
(if (<=.f64 (exp.f64 a) #s(literal 733155940312959/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888 binary64)) (*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 (+.f64 b #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 733155940312959/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888 binary64)) (*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log1p.f64 #s(literal 1 binary64)))
(*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 b (.f64 b #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/2 binary64) a)
(*.f64 a #s(literal 1/2 binary64))

soundness1.9s (15%)

Memory

-16.9MiB live, 1 044.1MiB allocated

Rules

25 146×	`accelerator-lowering-fma.f32`
25 146×	`accelerator-lowering-fma.f64`
18 508×	`accelerator-lowering-fma.f32`
18 508×	`accelerator-lowering-fma.f64`
10 532×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	175
1	219	131
2	2013	131
0	8222	111
0	23	67
1	127	63
2	1050	63
0	8322	53
0	350	2464
1	1026	2405
2	2968	2351
0	8288	2015
0	167	1147
1	492	1120
2	1344	1097
3	3944	1087
0	8224	946
0	6	15
1	20	15
2	146	15
0	1405	15
0	99	564
1	274	564
2	757	556
3	2515	548
0	8549	500

Stop Event

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

Compiler

Compiled 818 to 490 computations (40.1% saved)

preprocess109.0ms (0.9%)

Memory: 29.9MiB live, 145.1MiB allocated
Compiler: Compiled 672 to 220 computations (67.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze137.0ms (1.1%)

sample4.6s (36.7%)

preprocess13.0ms (0.1%)

explain150.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize56.0ms (0.5%)

series89.0ms (0.7%)

rewrite101.0ms (0.8%)

simplify470.0ms (3.8%)

eval17.0ms (0.1%)

prune21.0ms (0.2%)

simplify9.0ms (0.1%)

localize158.0ms (1.3%)

series227.0ms (1.8%)

rewrite306.0ms (2.5%)

simplify355.0ms (2.8%)

eval117.0ms (0.9%)

prune106.0ms (0.8%)

simplify7.0ms (0.1%)

localize69.0ms (0.5%)

series45.0ms (0.4%)

rewrite527.0ms (4.2%)

simplify715.0ms (5.7%)

eval134.0ms (1.1%)

prune127.0ms (1%)

simplify396.0ms (3.2%)

localize108.0ms (0.9%)

series69.0ms (0.6%)

rewrite311.0ms (2.5%)

simplify340.0ms (2.7%)

eval144.0ms (1.2%)

prune123.0ms (1%)

regimes70.0ms (0.6%)

regimes37.0ms (0.3%)

regimes54.0ms (0.4%)

regimes32.0ms (0.3%)

regimes28.0ms (0.2%)

regimes31.0ms (0.2%)

regimes24.0ms (0.2%)

regimes22.0ms (0.2%)

regimes20.0ms (0.2%)

regimes28.0ms (0.2%)

regimes19.0ms (0.2%)

regimes14.0ms (0.1%)

regimes14.0ms (0.1%)

regimes10.0ms (0.1%)

regimes15.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch10.0ms (0.1%)

bsearch13.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify13.0ms (0.1%)

soundness1.9s (15%)

preprocess109.0ms (0.9%)

end0.0ms (0%)

Profiling