Metrics for symmetry log of sum of exp

analyze133.0ms (1.2%)

Memory

-7.0MiB live, 187.0MiB 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)

sample4.4s (39.9%)

Memory

153.7MiB live, 5 397.6MiB allocated

Samples

1.7s	6 811×	5	exit
1.1s	1 482×	2	valid
477.0ms	2 354×	1	valid
292.0ms	4 420×	0	valid
104.0ms	926×	1	exit

Precisions

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

ival-log: 1.1s (38.7% of total)

ival-exp: 983.0ms (34.3% of total)

adjust: 494.0ms (17.2% of total)

ival-add: 261.0ms (9.1% of total)

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

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

Bogosity

preprocess23.0ms (0.2%)

Memory

-23.8MiB live, 21.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort a b)

explain148.0ms (1.3%)

Memory

3.1MiB live, 207.3MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	128	1
-	1	126

Precision

0.9922480620155039

Recall

0.9922480620155039

Confusion?

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

Precision?

0.9923076923076923

Recall?

1.0

Freqs

test

number	freq
0	127
1	129

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

54.0ms	96×	2	valid
30.0ms	148×	1	valid
17.0ms	268×	0	valid

Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-log: 47.0ms (57.7% of total)

ival-exp: 25.0ms (30.7% of total)

adjust: 5.0ms (6.1% of total)

ival-add: 4.0ms (4.9% of total)

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

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

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize97.0ms (0.9%)

Memory

16.9MiB live, 54.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	accuracy	53.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

67.0ms	48×	2	valid
14.0ms	74×	1	valid
8.0ms	134×	0	valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-add: 46.0ms (57.8% of total)

ival-log: 19.0ms (23.9% of total)

ival-exp: 12.0ms (15.1% of total)

adjust: 2.0ms (2.5% of total)

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

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

series89.0ms (0.8%)

Memory

-1.8MiB live, 111.0MiB allocated

Counts

4 → 72

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
33.0ms	a	@	inf	(log (+ (exp a) (exp b)))
22.0ms	a	@	-inf	(log (+ (exp a) (exp b)))
17.0ms	b	@	inf	(log (+ (exp a) (exp b)))
14.0ms	b	@	-inf	(log (+ (exp a) (exp b)))
1.0ms	a	@	0	(log (+ (exp a) (exp b)))

rewrite100.0ms (0.9%)

Memory

-14.3MiB live, 139.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 77

Calls

Call 1

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

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

simplify435.0ms (3.9%)

Memory

14.0MiB live, 657.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval17.0ms (0.2%)

Memory: -7.6MiB live, 30.7MiB allocated
Compiler: Compiled 2 882 to 386 computations (86.6% saved)

prune19.0ms (0.2%)

Memory

1.3MiB live, 40.3MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

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

Accuracy

99.4%

Counts

150 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.6%	(-.f64 (log.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
▶	99.3%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
	53.1%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
	49.5%	(log1p.f64 (exp.f64 b))
▶	51.6%	(log1p.f64 (exp.f64 a))
▶	52.4%	(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
	52.3%	(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
▶	52.2%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	53.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	51.2%	(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶	49.5%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))

Compiler

Compiled 234 to 172 computations (26.5% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize150.0ms (1.3%)

Memory

-7.2MiB live, 203.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	accuracy	55.0%	(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) b)
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))
✓	accuracy	55.0%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	accuracy	98.8%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))
✓	accuracy	100.0%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))
✓	accuracy	100.0%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))

Samples

50.0ms	48×	2	valid
37.0ms	74×	1	valid
27.0ms	131×	0	valid
1.0ms	3×	0	invalid

Compiler

Compiled 143 to 26 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-log: 39.0ms (43.4% of total)

ival-add: 15.0ms (16.7% of total)

adjust: 10.0ms (11.1% of total)

ival-log1p: 7.0ms (7.8% of total)

ival-mult: 6.0ms (6.7% of total)

ival-exp: 5.0ms (5.6% of total)

const: 4.0ms (4.5% of total)

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

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

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

exact: 0.0ms (0% of total)

series327.0ms (2.9%)

Memory

-3.0MiB live, 183.3MiB allocated

Counts

14 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
88.0ms	a	@	-inf	(log (+ (exp a) (+ 1 b)))
79.0ms	a	@	inf	(log (+ (exp a) (+ 1 b)))
19.0ms	a	@	inf	(log (+ (exp a) (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 1)))
19.0ms	a	@	inf	(log (+ 1 (exp a)))
19.0ms	a	@	-inf	(log (+ (exp a) (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 1)))

rewrite672.0ms (6.1%)

Memory

17.1MiB live, 290.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	83
0	40	83
1	175	83
2	1529	83
0	8329	77

Stop Event

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

Counts

14 → 489

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))) (/.f64 b (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))))
(neg.f64 (/.f64 b (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))))
(neg.f64 (/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))
(/.f64 (neg.f64 b) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -1 binary64))
(*.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))
(*.f64 (neg.f64 (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
(.f64 (/.f64 #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)))))
(*.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)))))
(.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))
(.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (exp.f64 a)))
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 (*.f64 a #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 a a)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (exp.f64 a))))
(-.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log1p.f64 (.f64 (exp.f64 a) (expm1.f64 a))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 a #s(literal 3 binary64)))) (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 a a)))) (log1p.f64 (neg.f64 (exp.f64 a))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))))) (log.f64 (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(-.f64 (log.f64 (expm1.f64 (+.f64 a a))) (log.f64 (expm1.f64 a)))
(neg.f64 (neg.f64 (log1p.f64 (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (exp.f64 a) (expm1.f64 a))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (.f64 (exp.f64 a) (expm1.f64 a))) (log1p.f64 (.f64 (exp.f64 a) (expm1.f64 a))) (.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 a) (expm1.f64 a)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 a a)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (exp.f64 a))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 a a)))) (log1p.f64 (neg.f64 (exp.f64 (+.f64 a a)))) (fma.f64 (log1p.f64 (neg.f64 (exp.f64 a))) (log1p.f64 (neg.f64 (exp.f64 a))) (*.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 a a)))) (log1p.f64 (neg.f64 (exp.f64 a)))))))
(log1p.f64 (exp.f64 a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64)))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) #s(literal 1 binary64))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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))))) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (+.f64 a a)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (expm1.f64 a)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #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 (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 (/.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 (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 b (/.f64 #s(literal 1 binary64) (+.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 (neg.f64 b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (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 (neg.f64 (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) #s(literal 1 binary64)))
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(*.f64 (-.f64 (pow.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 1 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))
(+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))) (/.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (.f64 b #s(literal 1/12 binary64)))) (fma.f64 (.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 b b) #s(literal 1/36 binary64)))))
(/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64))))
(/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (*.f64 b #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (*.f64 b #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 (*.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))))
(.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (.f64 b #s(literal 1/12 binary64))))))
(.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))

simplify441.0ms (4%)

Memory

30.3MiB live, 262.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 366×	`lower-fma.f64`
7 366×	`lower-fma.f32`
4 646×	`lower-+.f64`
4 646×	`lower-+.f32`
4 100×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	358	2492
1	1030	2443
2	3086	2396
0	8067	2053

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 236

Calls

Call 1

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

Outputs
(/ 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 b #s(literal 1/2 binary64))
(+ (* -1/4 (* a b)) (* 1/2 b))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(fma.f64 a (fma.f64 a (.f64 (.f64 b a) #s(literal 1/48 binary64)) (.f64 b #s(literal -1/4 binary64))) (.f64 b #s(literal 1/2 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 a))
(fma.f64 a #s(literal 1/2 binary64) (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))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 a #s(literal 2 binary64))
(+ 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 (* 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))
(+ (log 2) (* 1/2 b))
(fma.f64 b #s(literal 1/2 binary64) (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 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(fma.f64 a (fma.f64 a (fma.f64 (*.f64 b a) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
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)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 b))
(fma.f64 b #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)))
(+ (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 b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #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 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)
(log (+ 2 b))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(+ (log (+ 2 b)) (/ a (+ 2 b)))
(+.f64 (log.f64 (+.f64 b #s(literal 2 binary64))) (/.f64 a (+.f64 b #s(literal 2 binary64))))
(+ (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 b #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 b #s(literal 2 binary64)) (+.f64 b #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))) (log.f64 (+.f64 b #s(literal 2 binary64))))
(+ (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 (+.f64 (fma.f64 (.f64 a #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (+.f64 b #s(literal 2 binary64)) (.f64 (+.f64 b #s(literal 2 binary64)) (+.f64 b #s(literal 2 binary64))))) (/.f64 #s(literal -3 binary64) (.f64 (+.f64 b #s(literal 2 binary64)) (+.f64 b #s(literal 2 binary64)))))) (/.f64 #s(literal 1/2 binary64) (+.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 b #s(literal 2 binary64)) (+.f64 b #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))) (log.f64 (+.f64 b #s(literal 2 binary64))))
(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 b (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.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 b (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.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 (/.f64 (exp.f64 a) b) (log.f64 b)))
(+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (/ 1 b) (/ (exp a) b))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (exp.f64 a) b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (*.f64 b b)) (log.f64 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 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (exp.f64 a) b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (*.f64 b b)) (log.f64 b))))
(+ (log -1) (* -1 (log (/ -1 b))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (+ (/ 1 b) (/ (exp a) b))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (exp.f64 a) 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 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 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 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.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 3 binary64)) (/.f64 #s(literal 1/3 binary64) b))) b)) b))
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 (+ a b))
(+.f64 a (+.f64 b #s(literal 2 binary64)))
(+ 2 (+ b (* a (+ 1 (* 1/2 a)))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 b #s(literal 2 binary64)))
(+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+.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 2 binary64)))
(+ 1 (+ b (exp a)))
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 #s(literal 1 binary64) (+.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 (+ b (exp a)))
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
(+ 1 (+ b (exp a)))
(+.f64 #s(literal 1 binary64) (+.f64 b (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 (* b (+ 1/2 (* 1/6 b)))))))
(log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ a (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(+.f64 (log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.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 2 binary64))))
(+ (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))))
(fma.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+ (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (* 3 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))))) (* 1/2 (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))))
(fma.f64 a (fma.f64 a (fma.f64 (.f64 a #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal -3 binary64) (.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log1p.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log1p.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log1p.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log1p.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log1p.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log1p.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log1p.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log1p.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(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))) (/ 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 b (+.f64 (fma.f64 (*.f64 b #s(literal 1/6 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+ (log 1/6) (* -3 (log (/ 1 b))))
(fma.f64 #s(literal 3 binary64) (log.f64 b) (log.f64 #s(literal 1/6 binary64)))
(+ (log 1/6) (+ (* -3 (log (/ 1 b))) (* 3 (/ 1 b))))
(+.f64 (log.f64 #s(literal 1/6 binary64)) (fma.f64 #s(literal 3 binary64) (log.f64 b) (/.f64 #s(literal 3 binary64) b)))
(+ (log 1/6) (+ (* -3 (log (/ 1 b))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2)))))
(+.f64 (+.f64 (log.f64 #s(literal 1/6 binary64)) (fma.f64 #s(literal 3 binary64) (log.f64 b) (/.f64 #s(literal 3 binary64) b))) (/.f64 #s(literal 3/2 binary64) (*.f64 b b)))
(+ (log 1/6) (+ (* -3 (log (/ 1 b))) (+ (* 1/6 (/ (- (* 36 (+ 1 (exp a))) 54) (pow b 3))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2))))))
(+.f64 (fma.f64 #s(literal 3 binary64) (log.f64 b) (log.f64 #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 3/2 binary64) (.f64 b b)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (exp.f64 a) #s(literal 36 binary64) #s(literal -18 binary64)) (.f64 b (*.f64 b b))) (/.f64 #s(literal 3 binary64) b))))
(+ (log -1/6) (* -3 (log (/ -1 b))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal -3 binary64) (log.f64 #s(literal -1/6 binary64)))
(+ (log -1/6) (+ (* -3 (log (/ -1 b))) (* 3 (/ 1 b))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal -3 binary64) (+.f64 (log.f64 #s(literal -1/6 binary64)) (/.f64 #s(literal 3 binary64) b)))
(+ (log -1/6) (+ (* -3 (log (/ -1 b))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 3 binary64) b) (/.f64 #s(literal 3/2 binary64) (*.f64 b b))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal -3 binary64) (log.f64 #s(literal -1/6 binary64))))
(+ (log -1/6) (+ (* -3 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (+ 3/2 (* -1/6 (/ (+ 54 (* -36 (+ 1 (exp a)))) b))) b)) 3) b))))
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal -3 binary64) (log.f64 #s(literal -1/6 binary64))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 18 binary64) (*.f64 (exp.f64 a) #s(literal -36 binary64))) (/.f64 #s(literal -1/6 binary64) b) #s(literal 3/2 binary64)) b)) b))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.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 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)))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (+ b (exp a)))
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 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 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a)))
(* 1/6 (pow b 3))
(.f64 #s(literal 1/6 binary64) (.f64 b (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal 1/2 binary64)))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (+ (/ 1 (pow b 3)) (/ (exp a) (pow b 3)))))))
(.f64 (.f64 b b) (fma.f64 b (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 b b))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (/.f64 (exp.f64 a) (.f64 b (*.f64 b b))))) #s(literal 1/2 binary64)))
(* 1/6 (pow b 3))
(.f64 #s(literal 1/6 binary64) (.f64 b (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))) b)) 1/6)))
(.f64 (.f64 b b) (neg.f64 (*.f64 b (-.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b)) b)) b)))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 b))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 b))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 b))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))

eval185.0ms (1.7%)

Memory: -23.6MiB live, 126.9MiB allocated
Compiler: Compiled 20 745 to 2 156 computations (89.6% saved)

prune135.0ms (1.2%)

Memory

-0.5MiB live, 123.5MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	799	12	811
Fresh	5	0	5
Picked	4	1	5
Done	1	0	1
Total	809	13	822

Accuracy

99.4%

Counts

822 → 13

Alt Table

Click to see full alt table

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

Compiler

Compiled 231 to 180 computations (22.1% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize86.0ms (0.8%)

Memory

34.6MiB live, 73.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 b #s(literal 2 binary64))
✓	accuracy	100.0%	(log.f64 (+.f64 b #s(literal 2 binary64)))
✓	accuracy	100.0%	(log.f64 b)
✓	accuracy	100.0%	(+.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))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))
✓	accuracy	94.3%	(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64)))

Samples

46.0ms	171×	0	valid
15.0ms	85×	0	invalid

Compiler

Compiled 109 to 27 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-log: 10.0ms (31.1% of total)

ival-add: 7.0ms (21.7% of total)

ival-mult: 6.0ms (18.6% of total)

ival-exp: 5.0ms (15.5% of total)

ival-div: 2.0ms (6.2% of total)

ival-log1p: 2.0ms (6.2% of total)

exact: 1.0ms (3.1% of total)

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

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

series70.0ms (0.6%)

Memory

-2.3MiB live, 36.1MiB allocated

Counts

11 → 144

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
44.0ms	b	@	0	(log b)
13.0ms	b	@	-inf	(log b)
5.0ms	b	@	inf	(log b)
3.0ms	a	@	0	(+ (* a 1/2) (log 2))
0.0ms	a	@	-inf	(+ (* a (+ (* a 1/8) 1/2)) (log 2))

rewrite337.0ms (3%)

Memory

-4.4MiB live, 422.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 426×	`lower-fma.f32`
6 420×	`lower-fma.f64`
4 852×	`lower-*.f32`
4 850×	`lower-*.f64`
3 780×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	59
0	40	55
1	142	51
2	973	51
0	8539	51

Stop Event

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

Counts

11 → 388

Calls

Call 1

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

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)))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))
(-.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))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal 1 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b))
(/.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64))
(/.f64 (neg.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 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (exp.f64 a))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 b)))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 b))))
(/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 a) (expm1.f64 a)) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (-.f64 (*.f64 (exp.f64 a) (expm1.f64 a)) #s(literal 1 binary64))))))
(/.f64 (.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 a) (expm1.f64 a)) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 a)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -1 binary64))
(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64))
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b)
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -1/2 binary64)))
(.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (exp.f64 a))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 b))))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 (*.f64 a #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (neg.f64 (log1p.f64 (.f64 (exp.f64 a) (expm1.f64 a)))))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 a a)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 a a)))) (neg.f64 (log1p.f64 (neg.f64 (exp.f64 a)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (exp.f64 a))))
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(/.f64 (.f64 (fma.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64)) (.f64 #s(literal 1/262144 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/262144 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal 1/4096 binary64)))) (+.f64 (fma.f64 a (.f64 #s(literal 1/64 binary64) a) #s(literal 1/4 binary64)) (*.f64 a #s(literal -1/16 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/262144 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 a (.f64 #s(literal 1/64 binary64) a) #s(literal 1/4 binary64)) (*.f64 a #s(literal -1/16 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/262144 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 #s(literal 1/4096 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/16 binary64)) (.f64 (.f64 a a) #s(literal 1/256 binary64))) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/2 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4096 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 a (.f64 #s(literal 1/64 binary64) a) #s(literal 1/4 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 a (.f64 #s(literal 1/64 binary64) a) #s(literal 1/4 binary64)) (.f64 a #s(literal -1/16 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 #s(literal 1/64 binary64) a) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 a #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/64 binary64) (.f64 a a)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 a (.f64 #s(literal 1/64 binary64) a)) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 a (.f64 #s(literal 1/64 binary64) a)) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 a (.f64 #s(literal 1/64 binary64) a)) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 a (*.f64 #s(literal 1/64 binary64) a)) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 a (.f64 #s(literal 1/64 binary64) a)) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 a (.f64 #s(literal 1/64 binary64) a)) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/2 binary64)))) (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (.f64 a (.f64 #s(literal 1/64 binary64) a)) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 a (.f64 #s(literal 1/64 binary64) a) #s(literal 1/4 binary64)) (*.f64 a #s(literal -1/16 binary64)))))
(.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 a (-.f64 (*.f64 #s(literal 1/64 binary64) a) #s(literal 1/16 binary64))))))
(.f64 (fma.f64 a (.f64 #s(literal 1/64 binary64) a) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/2 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 a (.f64 #s(literal 1/64 binary64) a) #s(literal 1/4 binary64)) (*.f64 a #s(literal -1/16 binary64))))))
(.f64 (neg.f64 (fma.f64 a (.f64 #s(literal 1/64 binary64) a) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/64 binary64) (.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))

simplify433.0ms (3.9%)

Memory

4.9MiB live, 720.9MiB allocated

Algorithm

1×	egg-herbie

Rules

22 062×	`lower-fma.f64`
22 062×	`lower-fma.f32`
4 062×	`lower-*.f64`
4 062×	`lower-*.f32`
3 208×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	1022
1	495	983
2	1352	967
3	4136	965
0	8274	846

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 142

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

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

eval67.0ms (0.6%)

Memory: -8.0MiB live, 147.1MiB allocated
Compiler: Compiled 11 269 to 1 576 computations (86% saved)

prune63.0ms (0.6%)

Memory

-7.2MiB live, 158.8MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	525	6	531
Fresh	1	6	7
Picked	1	4	5
Done	0	1	1
Total	527	17	544

Accuracy

99.4%

Counts

544 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.0%	(fma.f64 (*.f64 a #s(literal 1/8 binary64)) a (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
	49.9%	(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
	48.8%	(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	49.0%	(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	49.0%	(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
▶	66.8%	(/.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))) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #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)))))))
▶	52.7%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
	49.4%	(+.f64 (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))))
	43.0%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))))
▶	2.5%	(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
	3.3%	(.f64 a (.f64 a #s(literal 1/8 binary64)))
▶	2.6%	(*.f64 #s(literal 1/2 binary64) a)
▶	47.7%	(log1p.f64 (+.f64 #s(literal 1 binary64) a))
✓	51.6%	(log1p.f64 (exp.f64 a))
	49.1%	(log1p.f64 #s(literal 1 binary64))
✓	49.6%	(log.f64 (+.f64 b #s(literal 2 binary64)))
✓	1.4%	(log.f64 b)

Compiler

Compiled 316 to 228 computations (27.8% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize92.0ms (0.8%)

Memory

38.3MiB live, 195.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) a)
✓	accuracy	100.0%	(log1p.f64 (+.f64 #s(literal 1 binary64) a))
✓	accuracy	100.0%	(fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) a)
✓	accuracy	99.7%	(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64))
✓	accuracy	99.7%	(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))
✓	accuracy	99.3%	(*.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
✓	accuracy	99.3%	(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))

Samples

29.0ms	126×	0	valid
26.0ms	130×	0	invalid

Compiler

Compiled 222 to 32 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-pow: 9.0ms (23.6% of total)

ival-add: 7.0ms (18.4% of total)

ival-mult: 7.0ms (18.4% of total)

ival-div: 6.0ms (15.8% of total)

ival-log1p: 5.0ms (13.1% of total)

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

ival-sub: 1.0ms (2.6% of total)

exact: 1.0ms (2.6% of total)

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

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

series19.0ms (0.2%)

Memory

-0.4MiB live, 38.4MiB allocated

Counts

12 → 192

Calls

Call 1

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

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

Calls

48 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(pow (log (+ 1 (exp a))) 3)
1.0ms	a	@	inf	(pow (/ (+ 1 (exp a)) b) -3)
1.0ms	b	@	0	(pow (/ (+ 1 (exp a)) b) -3)
1.0ms	a	@	-inf	(pow (/ (+ 1 (exp a)) b) -3)
1.0ms	a	@	inf	(pow (/ (+ 1 (exp a)) b) -2)

rewrite248.0ms (2.2%)

Memory

-14.1MiB live, 372.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 264×	`lower-fma.f32`
4 262×	`lower-fma.f64`
3 848×	`lower-/.f32`
3 842×	`lower-/.f64`
3 412×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	67
0	45	67
1	171	67
2	1160	67
0	8494	67

Stop Event

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

Counts

12 → 406

Calls

Call 1

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

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

simplify325.0ms (2.9%)

Memory

5.7MiB live, 439.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 534×	`lower-fma.f64`
13 534×	`lower-fma.f32`
4 232×	`lower-*.f64`
4 232×	`lower-*.f32`
3 392×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	256	1875
1	857	1780
2	3017	1682
3	6890	1674
0	8343	1498

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 190

Calls

Call 1

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

Outputs
(pow (log 2) 3)
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
(+ (* a (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 3))
(*.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 a #s(literal 3/2 binary64) (log.f64 #s(literal 2 binary64))))
(+ (* a (+ (* 1/2 (pow (log 2) 2)) (+ (* a (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(fma.f64 a (fma.f64 a (.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))) (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(+ (* a (+ (* 1/2 (pow (log 2) 2)) (+ (* a (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* a (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(fma.f64 a (fma.f64 a (fma.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) (.f64 a (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64) #s(literal 1/8 binary64)))) (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow (log (+ 1 (exp a))) 3)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
(pow (log (+ 1 (exp a))) 3)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
(pow (log (+ 1 (exp a))) 3)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
(pow (log (+ 1 (exp a))) 3)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
(pow (log (+ 1 (exp a))) 3)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
(pow (log (+ 1 (exp a))) 3)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
(pow (log (+ 1 (exp a))) 3)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
(pow (log (+ 1 (exp a))) 3)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
(* (log 2) (+ (log 2) (* -1/2 b)))
(*.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(+ (* a (+ (* 1/2 (+ (log 2) (* -1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b))))) (* (log 2) (+ (log 2) (* -1/2 b))))
(fma.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) b (log.f64 #s(literal 2 binary64))) (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(+ (* a (+ (* 1/2 (+ (log 2) (* -1/2 b))) (+ (* a (+ (* 1/8 (+ (log 2) (* -1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))))) (* (log 2) (+ 1/2 (* 1/4 b)))))) (* (log 2) (+ (log 2) (* -1/2 b))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/2 binary64) b (log.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (+.f64 b (log.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))) (.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)))) (.f64 (fma.f64 #s(literal -1/2 binary64) b (log.f64 #s(literal 2 binary64))) (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(+ (* a (+ (* 1/2 (+ (log 2) (* -1/2 b))) (+ (* a (+ (* 1/8 (+ (log 2) (* -1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (+ (* a (+ (* 1/8 (+ 1/2 (* 1/4 b))) (+ (* 1/2 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (* (log 2) (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))))) (* (log 2) (+ 1/2 (* 1/4 b)))))) (* (log 2) (+ (log 2) (* -1/2 b))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/2 binary64) b (log.f64 #s(literal 2 binary64))) (fma.f64 a (+.f64 (fma.f64 b #s(literal 1/32 binary64) #s(literal 1/16 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (.f64 b #s(literal -1/48 binary64)) #s(literal 1/16 binary64))) (fma.f64 #s(literal 1/8 binary64) (+.f64 b (log.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) b (log.f64 #s(literal 2 binary64))) (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(* (log (+ 1 (exp a))) (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a))))))
(*.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(* (log (+ 1 (exp a))) (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a))))))
(*.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(* (log (+ 1 (exp a))) (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a))))))
(*.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(* (log (+ 1 (exp a))) (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a))))))
(*.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(* (log (+ 1 (exp a))) (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a))))))
(*.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(* (log (+ 1 (exp a))) (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a))))))
(*.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(* (log (+ 1 (exp a))) (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a))))))
(*.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(* (log (+ 1 (exp a))) (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a))))))
(*.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(pow (log (+ 1 (exp a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(+ (* -1 (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))) (pow (log (+ 1 (exp a))) 2))
(*.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(+ (* -1 (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))) (pow (log (+ 1 (exp a))) 2))
(*.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(+ (* -1 (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))) (pow (log (+ 1 (exp a))) 2))
(*.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(* -1 (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a))))
(*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(* b (+ (* -1 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (/ (pow (log (+ 1 (exp a))) 2) b)))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(* b (+ (* -1 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (/ (pow (log (+ 1 (exp a))) 2) b)))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(* b (+ (* -1 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (/ (pow (log (+ 1 (exp a))) 2) b)))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(* -1 (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a))))
(*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(* -1 (* b (+ (* -1 (/ (pow (log (+ 1 (exp a))) 2) b)) (/ (log (+ 1 (exp a))) (+ 1 (exp a))))))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(* -1 (* b (+ (* -1 (/ (pow (log (+ 1 (exp a))) 2) b)) (/ (log (+ 1 (exp a))) (+ 1 (exp a))))))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(* -1 (* b (+ (* -1 (/ (pow (log (+ 1 (exp a))) 2) b)) (/ (log (+ 1 (exp a))) (+ 1 (exp a))))))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(* 1/8 (pow b 3))
(.f64 b (.f64 #s(literal 1/8 binary64) (*.f64 b b)))
(+ (* -3/16 (* a (pow b 3))) (* 1/8 (pow b 3)))
(.f64 (.f64 b (*.f64 b b)) (fma.f64 a #s(literal -3/16 binary64) #s(literal 1/8 binary64)))
(+ (* 1/8 (pow b 3)) (* a (- (* -1 (* a (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))))) (* 3/16 (pow b 3)))))
(fma.f64 a (.f64 (.f64 b (.f64 b (neg.f64 b))) (fma.f64 a #s(literal -3/32 binary64) #s(literal 3/16 binary64))) (.f64 b (.f64 #s(literal 1/8 binary64) (.f64 b b))))
(+ (* 1/8 (pow b 3)) (* a (- (* a (- (* -1 (* a (+ (* -3/2 (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3)))) (+ (* -9/32 (pow b 3)) (* 9/64 (pow b 3)))))) (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))))) (* 3/16 (pow b 3)))))
(fma.f64 a (.f64 (.f64 b (.f64 b (neg.f64 b))) (fma.f64 a #s(literal -3/32 binary64) #s(literal 3/16 binary64))) (.f64 b (.f64 #s(literal 1/8 binary64) (.f64 b b))))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))
(* 1/4 (pow b 2))
(.f64 #s(literal 1/4 binary64) (.f64 b b))
(+ (* -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 (neg.f64 (.f64 (.f64 b b) (fma.f64 a #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 b b)))
(+ (* 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 (-.f64 (.f64 a (.f64 a (.f64 (.f64 b (neg.f64 b)) #s(literal -1/48 binary64)))) (.f64 (.f64 b b) (fma.f64 a #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 b b)))
(/ (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)))
(/ (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)))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* a (+ 1/2 (* 1/8 a)))
(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(* a (+ 1/2 (* 1/8 a)))
(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(* a (+ 1/2 (* 1/8 a)))
(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(* 1/8 (pow a 2))
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(* 1/8 (pow a 2))
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 a))
(fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/8 a))
(fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/8 a))
(fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(fma.f64 a #s(literal 1/2 binary64) (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 (- (* 1/24 a) 1/8)))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/24 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(* -1 (log (/ 1 a)))
(log.f64 a)
(+ (* -1 (log (/ 1 a))) (* 2 (/ 1 a)))
(+.f64 (log.f64 a) (/.f64 #s(literal 2 binary64) a))
(- (+ (* -1 (log (/ 1 a))) (* 2 (/ 1 a))) (/ 2 (pow a 2)))
(+.f64 (log.f64 a) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) a)) a))
(- (+ (* -1 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (* 8/3 (/ 1 (pow a 3))))) (/ 2 (pow a 2)))
(+.f64 (log.f64 a) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/3 binary64) a) #s(literal -2 binary64)) a)) a))
(+ (log -1) (* -1 (log (/ -1 a))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 a))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* 2 (/ 1 a))))
(+.f64 (/.f64 #s(literal 2 binary64) a) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 a)))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (- (* 2 (/ 1 a)) 2) a))))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 a)))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) a)) a))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 a)) 2) a)) 2) a))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/3 binary64) a) #s(literal -2 binary64)) a)) a) (neg.f64 (log.f64 (neg.f64 a)))))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
a
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
a
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) 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 (* 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))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(fma.f64 a (fma.f64 a (.f64 a (.f64 #s(literal 1/48 binary64) b)) (.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)))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #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 (* 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)

eval106.0ms (1%)

Memory: 13.6MiB live, 161.8MiB allocated
Compiler: Compiled 26 723 to 2 233 computations (91.6% saved)

prune98.0ms (0.9%)

Memory

1.8MiB live, 169.1MiB allocated

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	850	6	856
Fresh	0	7	7
Picked	2	3	5
Done	1	4	5
Total	853	20	873

Accuracy

99.4%

Counts

873 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.0%	(fma.f64 (*.f64 a #s(literal 1/8 binary64)) a (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
	49.9%	(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
	48.8%	(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	49.0%	(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	49.0%	(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
	18.6%	(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
	51.4%	(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) b (log.f64 #s(literal 2 binary64))))))
✓	52.7%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
	49.4%	(+.f64 (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))))
	43.0%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))))
	2.0%	(.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) a) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 a a) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (.f64 a #s(literal -1/16 binary64)))))
	2.5%	(.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) a) (/.f64 #s(literal -1 binary64) (fma.f64 a #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
✓	2.5%	(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
	3.3%	(.f64 a (.f64 a #s(literal 1/8 binary64)))
	12.1%	(*.f64 #s(literal 1/2 binary64) b)
✓	47.7%	(log1p.f64 (+.f64 #s(literal 1 binary64) a))
✓	51.6%	(log1p.f64 (exp.f64 a))
	49.1%	(log1p.f64 #s(literal 1 binary64))
✓	49.6%	(log.f64 (+.f64 b #s(literal 2 binary64)))
	47.7%	(log.f64 (+.f64 a #s(literal 2 binary64)))

Compiler

Compiled 622 to 316 computations (49.2% saved)

regimes55.0ms (0.5%)

Memory

-3.7MiB live, 73.8MiB allocated

Counts

35 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) a)
(*.f64 #s(literal 1/2 binary64) b)
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) a) (/.f64 #s(literal -1 binary64) (fma.f64 a #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) a) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 a a) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (.f64 a #s(literal -1/16 binary64)))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 a #s(literal 2 binary64)))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(log1p.f64 (+.f64 #s(literal 1 binary64) a))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(fma.f64 (*.f64 a #s(literal 1/8 binary64)) a (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (fma.f64 b (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) (neg.f64 b)) 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)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))))
(+.f64 (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 (log.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) b (log.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (*.f64 (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))))

Calls

6 calls:

12.0ms	a
10.0ms	b
9.0ms	(exp.f64 a)
8.0ms	(exp.f64 b)
8.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes43.0ms (0.4%)

Memory

20.2MiB live, 58.6MiB allocated

Counts

27 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) a)
(*.f64 #s(literal 1/2 binary64) b)
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) a) (/.f64 #s(literal -1 binary64) (fma.f64 a #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) a) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 a a) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (.f64 a #s(literal -1/16 binary64)))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 a #s(literal 2 binary64)))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(log1p.f64 (+.f64 #s(literal 1 binary64) a))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(fma.f64 (*.f64 a #s(literal 1/8 binary64)) a (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (fma.f64 b (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) (neg.f64 b)) 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) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))

Calls

6 calls:

8.0ms	b
8.0ms	a
7.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
6.0ms	(exp.f64 b)

Results

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes14.0ms (0.1%)

Memory

-19.1MiB live, 19.4MiB allocated

Counts

23 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) a)
(*.f64 #s(literal 1/2 binary64) b)
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) a) (/.f64 #s(literal -1 binary64) (fma.f64 a #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) a) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 a a) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (.f64 a #s(literal -1/16 binary64)))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 a #s(literal 2 binary64)))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(log1p.f64 (+.f64 #s(literal 1 binary64) a))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(fma.f64 (*.f64 a #s(literal 1/8 binary64)) a (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))

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

Calls

2 calls:

8.0ms	a
5.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes13.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Counts

22 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) a)
(*.f64 #s(literal 1/2 binary64) b)
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) a) (/.f64 #s(literal -1 binary64) (fma.f64 a #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) a) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 a a) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (.f64 a #s(literal -1/16 binary64)))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 a #s(literal 2 binary64)))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(log1p.f64 (+.f64 #s(literal 1 binary64) a))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(fma.f64 (*.f64 a #s(literal 1/8 binary64)) a (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))

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

Calls

2 calls:

7.0ms	a
5.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes13.0ms (0.1%)

Memory

-21.6MiB live, 17.0MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) a)
(*.f64 #s(literal 1/2 binary64) b)
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) a) (/.f64 #s(literal -1 binary64) (fma.f64 a #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) a) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 a a) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (.f64 a #s(literal -1/16 binary64)))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 a #s(literal 2 binary64)))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(log1p.f64 (+.f64 #s(literal 1 binary64) a))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(fma.f64 (*.f64 a #s(literal 1/8 binary64)) a (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))

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

Calls

2 calls:

7.0ms	a
5.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes19.0ms (0.2%)

Memory

31.6MiB live, 31.6MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) a)
(*.f64 #s(literal 1/2 binary64) b)
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) a) (/.f64 #s(literal -1 binary64) (fma.f64 a #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) a) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 a a) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (.f64 a #s(literal -1/16 binary64)))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 a #s(literal 2 binary64)))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(log1p.f64 (+.f64 #s(literal 1 binary64) a))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(fma.f64 (*.f64 a #s(literal 1/8 binary64)) a (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))

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

Calls

4 calls:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes13.0ms (0.1%)

Memory

-23.2MiB live, 16.0MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) a)
(*.f64 #s(literal 1/2 binary64) b)
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) a) (/.f64 #s(literal -1 binary64) (fma.f64 a #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) a) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 a a) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (.f64 a #s(literal -1/16 binary64)))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 a #s(literal 2 binary64)))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(log1p.f64 (+.f64 #s(literal 1 binary64) a))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))

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

Calls

2 calls:

8.0ms	(exp.f64 a)
5.0ms	a

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes26.0ms (0.2%)

Memory

-6.8MiB live, 30.8MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) a)
(*.f64 #s(literal 1/2 binary64) b)
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) a) (/.f64 #s(literal -1 binary64) (fma.f64 a #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) a) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 a a) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (.f64 a #s(literal -1/16 binary64)))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 a #s(literal 2 binary64)))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(log1p.f64 (+.f64 #s(literal 1 binary64) a))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))

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

Calls

5 calls:

10.0ms	b
5.0ms	a
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
49.9%	1	`b`
57.1%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
57.1%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
57.3%	2	`a`
57.3%	2	`(exp.f64 a)`

Compiler

Compiled 25 to 18 computations (28% saved)

regimes15.0ms (0.1%)

Memory

25.9MiB live, 25.9MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) a)
(*.f64 #s(literal 1/2 binary64) b)
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) a) (/.f64 #s(literal -1 binary64) (fma.f64 a #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) a) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 a a) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (.f64 a #s(literal -1/16 binary64)))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 a #s(literal 2 binary64)))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(log1p.f64 (+.f64 #s(literal 1 binary64) a))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))

Outputs
(*.f64 #s(literal 1/2 binary64) b)
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 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
57.0%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
57.0%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
57.1%	2	`a`
57.1%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes244.0ms (2.2%)

Memory

-72.0MiB live, 10.1MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) a)
(*.f64 #s(literal 1/2 binary64) b)
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) a) (/.f64 #s(literal -1 binary64) (fma.f64 a #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) a) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 a a) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (.f64 a #s(literal -1/16 binary64)))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 a #s(literal 2 binary64)))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(log1p.f64 (+.f64 #s(literal 1 binary64) a))

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

Calls

2 calls:

4.0ms	a
3.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
57.1%	2	`a`
57.1%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes11.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) a)
(*.f64 #s(literal 1/2 binary64) b)
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) a) (/.f64 #s(literal -1 binary64) (fma.f64 a #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) a) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 a a) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (.f64 a #s(literal -1/16 binary64)))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
56.4%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
56.4%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
56.5%	2	`a`
56.5%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes19.0ms (0.2%)

Memory

-15.5MiB live, 27.8MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) a)
(*.f64 #s(literal 1/2 binary64) b)
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(*.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) a) (/.f64 #s(literal -1 binary64) (fma.f64 a #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) a) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 a a) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (.f64 a #s(literal -1/16 binary64)))))
(log.f64 b)

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

Calls

6 calls:

7.0ms	b
3.0ms	a
2.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
2.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
12.1%	1	`b`
12.1%	1	`(exp.f64 b)`
12.1%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
12.1%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
12.1%	1	`a`
12.1%	1	`(exp.f64 a)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes7.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB 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 b)

Results

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.6712218390145186e-19

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.6712218390145186e-19

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.6712218390145186e-19

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.6712218390145186e-19

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.6712218390145186e-19

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.6712218390145186e-19

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.6712218390145186e-19

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.020461287915961215	0.6506048864094794

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.020461287915961215	0.6506048864094794

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.6712218390145186e-19

Compiler

Compiled 11 to 11 computations (0% saved)

simplify7.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	186
1	61	186

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 (*.f64 a #s(literal 1/8 binary64)) a (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) b) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 5764607523034235/144115188075855872 binary64)) (*.f64 #s(literal 1/2 binary64) b) (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 5764607523034235/144115188075855872 binary64)) (*.f64 #s(literal 1/2 binary64) b) (log.f64 (+.f64 a #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) b) (log1p.f64 #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) b)
(*.f64 #s(literal 1/2 binary64) a)

Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 (exp.f64 a) (+.f64 b #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 (*.f64 a #s(literal 1/8 binary64)) a (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (fma.f64 (*.f64 a #s(literal 1/8 binary64)) a (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) b) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 5764607523034235/144115188075855872 binary64)) (*.f64 #s(literal 1/2 binary64) b) (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 5764607523034235/144115188075855872 binary64)) (*.f64 b #s(literal 1/2 binary64)) (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 5764607523034235/144115188075855872 binary64)) (*.f64 #s(literal 1/2 binary64) b) (log.f64 (+.f64 a #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 5764607523034235/144115188075855872 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log.f64 (+.f64 a #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) b) (log1p.f64 #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) b)
(*.f64 b #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) a)
(*.f64 a #s(literal 1/2 binary64))

soundness1.1s (10%)

Memory

24.1MiB live, 798.7MiB allocated

Rules

22 062×	`lower-fma.f64`
22 062×	`lower-fma.f32`
18 508×	`lower-fma.f64`
18 508×	`lower-fma.f32`
13 534×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	256	1875
1	857	1780
2	3017	1682
3	6890	1674
0	8343	1498
0	358	2492
1	1030	2443
2	3086	2396
0	8067	2053
0	26	67
0	45	67
1	171	67
2	1160	67
0	8494	67
0	22	59
0	40	55
1	142	51
2	973	51
0	8539	51
0	99	564
1	274	564
2	757	556
3	2515	548
0	8549	500
0	167	1022
1	495	983
2	1352	967
3	4136	965
0	8274	846

Stop Event

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

Compiler

Compiled 600 to 353 computations (41.2% saved)

preprocess145.0ms (1.3%)

Memory: -31.1MiB live, 170.8MiB allocated
Compiler: Compiled 488 to 174 computations (64.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

analyze133.0ms (1.2%)

sample4.4s (39.9%)

preprocess23.0ms (0.2%)

explain148.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify0.0ms (0%)

localize97.0ms (0.9%)

series89.0ms (0.8%)

rewrite100.0ms (0.9%)

simplify435.0ms (3.9%)

eval17.0ms (0.2%)

prune19.0ms (0.2%)

simplify0.0ms (0%)

localize150.0ms (1.3%)

series327.0ms (2.9%)

rewrite672.0ms (6.1%)

simplify441.0ms (4%)

eval185.0ms (1.7%)

prune135.0ms (1.2%)

simplify0.0ms (0%)

localize86.0ms (0.8%)

series70.0ms (0.6%)

rewrite337.0ms (3%)

simplify433.0ms (3.9%)

eval67.0ms (0.6%)

prune63.0ms (0.6%)

simplify0.0ms (0%)

localize92.0ms (0.8%)

series19.0ms (0.2%)

rewrite248.0ms (2.2%)

simplify325.0ms (2.9%)

eval106.0ms (1%)

prune98.0ms (0.9%)

regimes55.0ms (0.5%)

regimes43.0ms (0.4%)

regimes14.0ms (0.1%)

regimes13.0ms (0.1%)

regimes13.0ms (0.1%)

regimes19.0ms (0.2%)

regimes13.0ms (0.1%)

regimes26.0ms (0.2%)

regimes15.0ms (0.1%)

regimes244.0ms (2.2%)

regimes11.0ms (0.1%)

regimes19.0ms (0.2%)

regimes7.0ms (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%)

simplify7.0ms (0.1%)

soundness1.1s (10%)

preprocess145.0ms (1.3%)

end0.0ms (0%)

Profiling

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