Metrics for symmetry log of sum of exp

analyze158.0ms (1.4%)

Memory

27.3MiB live, 209.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
50%	50%	50%	0.1%	0%	0%	0%	5
50%	50%	50%	0.1%	0%	0%	0%	6
50%	50%	50%	0.1%	0%	0%	0%	7
50%	50%	50%	0.1%	0%	0%	0%	8
50%	50%	50%	0.1%	0%	0%	0%	9
50%	50%	50%	0.1%	0%	0%	0%	10
50%	50%	50%	0.1%	0%	0%	0%	11
50%	50%	50%	0.1%	0%	0%	0%	12

Compiler

Compiled 8 to 8 computations (0% saved)

sample4.5s (38.8%)

Memory

88.1MiB live, 5 257.9MiB allocated

Samples

1.8s	7 037×	5	exit
749.0ms	1 464×	2	valid
536.0ms	2 324×	1	valid
333.0ms	4 468×	0	valid
88.0ms	935×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 2.7s

ival-log: 1.1s (39.7% of total)

ival-exp: 941.0ms (35% of total)

adjust: 386.0ms (14.4% of total)

ival-add: 274.0ms (10.2% of total)

ival-true: 12.0ms (0.4% of total)

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

Bogosity

preprocess13.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated

Algorithm

2×	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	18	42
1	33	42
2	47	42
3	56	42
4	67	42
5	84	42
6	99	42
7	107	42
8	110	42
0	6	6
1	7	6
0	7	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(sort a b)

explain149.0ms (1.3%)

Memory

-10.2MiB live, 191.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
139	-	-	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
0	-	-	`(+.f64 (exp.f64 a) (exp.f64 b))`
0	-	-	`a`
0	-	-	`(exp.f64 b)`
0	-	-	`b`
0	-	-	`(exp.f64 a)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	sensitivity	136	0
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	oflow-rescue	2	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	2
↳	`(exp.f64 b)`	overflow	2
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	uflow-rescue	1	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	underflow	1
↳	`(exp.f64 a)`	underflow	141
↳	`(exp.f64 b)`	underflow	1

Confusion

	Predicted +	Predicted -
+	139	0
-	0	117

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	139	0	0
-	0	0	117

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	117
1	139

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

47.0ms	98×	2	valid
36.0ms	170×	1	valid
18.0ms	244×	0	valid

Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions

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

ival-log: 42.0ms (53.5% of total)

ival-exp: 28.0ms (35.7% of total)

ival-add: 5.0ms (6.4% of total)

adjust: 3.0ms (3.8% 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

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.9%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify3.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(exp.f64 b)
✓	cost-diff	(exp.f64 a)
✓	cost-diff	(+.f64 (exp.f64 a) (exp.f64 b))
✓	cost-diff	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize78.0ms (0.7%)

Memory

-16.2MiB live, 59.4MiB 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	49.9%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

25.0ms	49×	2	valid
16.0ms	85×	1	valid
8.0ms	122×	0	valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-log: 22.0ms (56.3% of total)

ival-exp: 13.0ms (33.2% of total)

adjust: 2.0ms (5.1% of total)

ival-add: 2.0ms (5.1% of total)

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

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

series94.0ms (0.8%)

Memory

-0.5MiB live, 122.3MiB allocated

Counts

4 → 72

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
31.0ms	a	@	inf	(log (+ (exp a) (exp b)))
27.0ms	a	@	-inf	(log (+ (exp a) (exp b)))
18.0ms	b	@	-inf	(log (+ (exp a) (exp b)))
15.0ms	b	@	inf	(log (+ (exp a) (exp b)))
1.0ms	a	@	0	(log (+ (exp a) (exp b)))

rewrite103.0ms (0.9%)

Memory

7.4MiB live, 123.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 77

Calls

Call 1

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

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

simplify533.0ms (4.6%)

Memory

11.4MiB live, 725.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval18.0ms (0.2%)

Memory: -7.1MiB live, 31.1MiB allocated
Compiler: Compiled 2 902 to 387 computations (86.7% saved)

prune19.0ms (0.2%)

Memory

-1.5MiB live, 39.4MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	140	9	149
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	140	10	150

Accuracy

100.0%

Counts

150 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.3%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
▶	49.8%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
	46.5%	(log1p.f64 (exp.f64 b))
▶	45.4%	(log1p.f64 (exp.f64 a))
	49.7%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))
	47.9%	(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))))
▶	47.7%	(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))))
	47.4%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	49.9%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶	46.5%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))

Compiler

Compiled 218 to 158 computations (27.5% saved)

simplify11.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (exp.f64 a) (exp.f64 b))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
✓	cost-diff	320	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
✓	cost-diff	512	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))
✓	cost-diff	0	(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	cost-diff	192	(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
✓	cost-diff	0	(exp.f64 b)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	cost-diff	192	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(log1p.f64 (exp.f64 a))
✓	cost-diff	0	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(log1p.f64 (exp.f64 a))
✓	cost-diff	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))

Rules

196×	`accelerator-lowering-fma.f32`
196×	`accelerator-lowering-fma.f64`
124×	`+-lowering-+.f64`
124×	`+-lowering-+.f32`
82×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	132
1	46	130
2	74	130
3	143	130
4	180	130
5	188	130
0	188	113

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize186.0ms (1.6%)

Memory

6.9MiB live, 270.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
✓	accuracy	49.9%	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))
✓	accuracy	100.0%	(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	accuracy	51.0%	(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	accuracy	99.1%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	accuracy	100.0%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))

Samples

60.0ms	49×	2	valid
49.0ms	85×	1	valid
32.0ms	122×	0	valid

Compiler

Compiled 123 to 24 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-log: 43.0ms (37.2% of total)

ival-add: 22.0ms (19% of total)

ival-exp: 16.0ms (13.8% of total)

ival-log1p: 11.0ms (9.5% of total)

ival-div: 9.0ms (7.8% of total)

adjust: 7.0ms (6.1% of total)

ival-mult: 5.0ms (4.3% of total)

ival-neg: 2.0ms (1.7% of total)

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

exact: 0.0ms (0% of total)

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

series281.0ms (2.4%)

Memory

32.0MiB live, 421.0MiB allocated

Counts

16 → 288

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
69.0ms	a	@	inf	(log (+ (exp a) (+ (* b (+ (* b 1/2) 1)) 1)))
42.0ms	a	@	inf	(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
24.0ms	a	@	-inf	(log (/ 1 (+ (exp a) (exp b))))
20.0ms	a	@	-inf	(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
19.0ms	b	@	inf	(log (/ 1 (+ (exp a) (exp b))))

rewrite408.0ms (3.5%)

Memory

-27.8MiB live, 525.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 866×	`accelerator-lowering-fma.f32`
5 866×	`accelerator-lowering-fma.f64`
4 050×	`/-lowering-/.f32`
4 050×	`/-lowering-/.f64`
3 636×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	106
1	137	104
2	1203	104
0	8394	89

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 630

Calls

Call 1

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

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

simplify419.0ms (3.6%)

Memory

33.3MiB live, 583.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 782×	`accelerator-lowering-fma.f32`
9 782×	`accelerator-lowering-fma.f64`
5 278×	`+-lowering-+.f64`
5 278×	`+-lowering-+.f32`
3 698×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	394	3364
1	1131	3282
2	3334	3246
0	8168	2872

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

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

eval149.0ms (1.3%)

Memory: 17.1MiB live, 203.1MiB allocated
Compiler: Compiled 23 291 to 2 746 computations (88.2% saved)

prune140.0ms (1.2%)

Memory

-46.5MiB live, 213.9MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	1 013	13	1 026
Fresh	3	1	4
Picked	5	0	5
Done	1	0	1
Total	1 022	14	1 036

Accuracy

100.0%

Counts

1 036 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.3%	(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	45.2%	(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	43.7%	(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	45.1%	(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
▶	43.9%	(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
▶	57.7%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
	46.4%	(-.f64 (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))) (log.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))))
	42.4%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
	46.5%	(log1p.f64 (exp.f64 b))
▶	44.2%	(log1p.f64 #s(literal 1 binary64))
▶	45.0%	(log.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
▶	43.3%	(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a)))
	44.8%	(log.f64 (+.f64 #s(literal 2 binary64) b))
	2.6%	(log.f64 (.f64 #s(literal 1/2 binary64) (.f64 b b)))

Compiler

Compiled 246 to 196 computations (20.3% saved)

simplify9.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

148×	`accelerator-lowering-fma.f32`
148×	`accelerator-lowering-fma.f64`
112×	`+-lowering-+.f64`
112×	`+-lowering-+.f32`
58×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	99
1	39	99
2	66	99
3	119	99
4	134	99
5	137	99
0	137	86

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize69.0ms (0.6%)

Memory

20.2MiB live, 96.7MiB allocated

Localize:

Found 13 expressions of interest:

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

Samples

25.0ms	141×	0	invalid
19.0ms	114×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 88 to 22 computations (75% saved)

Precisions

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

ival-log: 8.0ms (29.7% of total)

ival-add: 7.0ms (26% of total)

ival-mult: 5.0ms (18.5% of total)

ival-log1p: 3.0ms (11.1% of total)

ival-div: 2.0ms (7.4% of total)

ival-exp: 2.0ms (7.4% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

series11.0ms (0.1%)

Memory

-24.7MiB live, 13.9MiB allocated

Counts

12 → 168

Calls

Call 1

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

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 2>
#<alt (+ 2 a)>
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt 1>
#<alt (+ 1 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 a))>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (/ (log 2) a)))>
#<alt (* a (+ 1/2 (/ (log 2) a)))>
#<alt (* a (+ 1/2 (/ (log 2) a)))>
#<alt (* 1/2 a)>
#<alt (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))>
#<alt (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))>
#<alt (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (* b (+ 1/2 (* 1/8 b))))>
#<alt (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/12 b))))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (* 2 (/ 1 b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 2 (/ 1 b)) (/ 2 (pow b 2)))))>
#<alt (- (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 2 (/ 1 b)) (/ 2 (pow b 2))))) (* 16/3 (/ 1 (pow b 3))))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* 2 (/ 1 b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 b))) (+ (* 2 (/ 1 b)) (/ 2 (pow b 2)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (- 2 (* 16/3 (/ 1 b))) b)) 2) b))))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* 1/2 b))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (log (+ 2 a))>
#<alt (+ (log (+ 2 a)) (/ b (+ 2 a)))>
#<alt (+ (log (+ 2 a)) (* b (+ (* 1/2 (* b (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2))))) (/ 1 (+ 2 a)))))>
#<alt (+ (log (+ 2 a)) (* b (+ (* b (+ (* 1/6 (* b (- (* 2 (/ 1 (pow (+ 2 a) 3))) (* 3 (/ 1 (pow (+ 2 a) 2)))))) (* 1/2 (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2)))))) (/ 1 (+ 2 a)))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (* 2 (/ 1 b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/2 (/ (- (* 4 (+ 2 a)) 4) (pow b 2))) (* 2 (/ 1 b)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/6 (/ (+ 16 (* -24 (+ 2 a))) (pow b 3))) (+ (* 1/2 (/ (- (* 4 (+ 2 a)) 4) (pow b 2))) (* 2 (/ 1 b))))))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* 2 (/ 1 b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1/2 (/ (- (* 4 (+ 2 a)) 4) b)) 2) b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- (* 24 (+ 2 a)) 16) b)) (* 1/2 (- (* 4 (+ 2 a)) 4))) b)) 2) b))))>
#<alt (log (+ 2 (* b (+ 1 (* 1/2 b)))))>
#<alt (+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (/ a (+ 2 (* b (+ 1 (* 1/2 b))))))>
#<alt (+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* -1/2 (/ a (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))))>
#<alt (+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* a (- (* 1/3 (/ a (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3))) (* 1/2 (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))))>
#<alt (* -1 (log (/ 1 a)))>
#<alt (+ (* -1 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a)))>
#<alt (+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2) (pow a 2))) (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))>
#<alt (+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2) (pow a 2))) (+ (* 1/3 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3) (pow a 3))) (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a)))))>
#<alt (+ (log -1) (* -1 (log (/ -1 a))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 a))) (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 2 (* b (+ 1 (* 1/2 b))))) (* 1/2 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2) a))) a))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 2 (* b (+ 1 (* 1/2 b))))) (* -1 (/ (+ (* -1/2 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)) (* 1/3 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3) a))) a))) a))))>
#<alt (+ 2 a)>
#<alt (+ 2 (+ a b))>
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 2 (pow b 2)) (/ a (pow b 2))))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 2 (pow b 2)) (/ a (pow b 2))))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 2 a) b)) 1) b))))>
#<alt (* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 2 a) b)) 1) b))))>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))>
#<alt a>
#<alt (* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))>
#<alt (* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))>
#<alt (* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) a)) 1)))>
#<alt a>
#<alt (+ a b)>
#<alt (+ a (* b (+ 1 (* 1/2 b))))>
#<alt (+ a (* b (+ 1 (* 1/2 b))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ a (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ a (pow b 2)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ a b)) 1) b))))>
#<alt (* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ a b)) 1) b))))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (+ a (* b (+ 1 (* 1/2 b))))>
#<alt (+ a (* b (+ 1 (* 1/2 b))))>
#<alt (+ a (* b (+ 1 (* 1/2 b))))>
#<alt a>
#<alt (* a (+ 1 (/ (* b (+ 1 (* 1/2 b))) a)))>
#<alt (* a (+ 1 (/ (* b (+ 1 (* 1/2 b))) a)))>
#<alt (* a (+ 1 (/ (* b (+ 1 (* 1/2 b))) a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (* b (+ 1 (* 1/2 b))) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (* b (+ 1 (* 1/2 b))) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (* b (+ 1 (* 1/2 b))) a)) 1)))>

Calls

42 calls:

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

rewrite324.0ms (2.8%)

Memory

14.3MiB live, 531.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 798×	`-lowering-.f32`
4 798×	`-lowering-.f64`
4 394×	`/-lowering-/.f32`
4 394×	`/-lowering-/.f64`
4 354×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	78
1	115	78
2	969	78
0	8191	66

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 391

Calls

Call 1

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

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

simplify525.0ms (4.5%)

Memory

21.7MiB live, 565.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16 774×	`accelerator-lowering-fma.f32`
16 774×	`accelerator-lowering-fma.f64`
6 626×	`-lowering-.f32`
6 626×	`-lowering-.f64`
4 274×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	292	1799
1	879	1750
2	2509	1690
0	8321	1502

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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)))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* 1/2 a))
(+ (log 2) (* 1/2 a))
(* 1/2 a)
(* a (+ 1/2 (/ (log 2) a)))
(* a (+ 1/2 (/ (log 2) a)))
(* a (+ 1/2 (/ (log 2) a)))
(* 1/2 a)
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(log 2)
(+ (log 2) (* 1/2 b))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/12 b))))))
(+ (log 1/2) (* -2 (log (/ 1 b))))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (* 2 (/ 1 b))))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 2 (/ 1 b)) (/ 2 (pow b 2)))))
(- (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 2 (/ 1 b)) (/ 2 (pow b 2))))) (* 16/3 (/ 1 (pow b 3))))
(+ (log 1/2) (* -2 (log (/ -1 b))))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* 2 (/ 1 b))))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (+ (* 2 (/ 1 b)) (/ 2 (pow b 2)))))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (- 2 (* 16/3 (/ 1 b))) b)) 2) b))))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
1
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(log (+ 2 a))
(+ (log (+ 2 a)) (/ b (+ 2 a)))
(+ (log (+ 2 a)) (* b (+ (* 1/2 (* b (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2))))) (/ 1 (+ 2 a)))))
(+ (log (+ 2 a)) (* b (+ (* b (+ (* 1/6 (* b (- (* 2 (/ 1 (pow (+ 2 a) 3))) (* 3 (/ 1 (pow (+ 2 a) 2)))))) (* 1/2 (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2)))))) (/ 1 (+ 2 a)))))
(+ (log 1/2) (* -2 (log (/ 1 b))))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (* 2 (/ 1 b))))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/2 (/ (- (* 4 (+ 2 a)) 4) (pow b 2))) (* 2 (/ 1 b)))))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/6 (/ (+ 16 (* -24 (+ 2 a))) (pow b 3))) (+ (* 1/2 (/ (- (* 4 (+ 2 a)) 4) (pow b 2))) (* 2 (/ 1 b))))))
(+ (log 1/2) (* -2 (log (/ -1 b))))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* 2 (/ 1 b))))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1/2 (/ (- (* 4 (+ 2 a)) 4) b)) 2) b))))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- (* 24 (+ 2 a)) 16) b)) (* 1/2 (- (* 4 (+ 2 a)) 4))) b)) 2) b))))
(log (+ 2 (* b (+ 1 (* 1/2 b)))))
(+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (/ a (+ 2 (* b (+ 1 (* 1/2 b))))))
(+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* -1/2 (/ a (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))))
(+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* a (- (* 1/3 (/ a (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3))) (* 1/2 (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))))
(* -1 (log (/ 1 a)))
(+ (* -1 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a)))
(+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2) (pow a 2))) (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))
(+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2) (pow a 2))) (+ (* 1/3 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3) (pow a 3))) (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a)))))
(+ (log -1) (* -1 (log (/ -1 a))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 2 (* b (+ 1 (* 1/2 b))))) (* 1/2 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2) a))) a))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 2 (* b (+ 1 (* 1/2 b))))) (* -1 (/ (+ (* -1/2 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)) (* 1/3 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3) a))) a))) a))))
(+ 2 a)
(+ 2 (+ a b))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 2 (pow b 2)) (/ a (pow b 2))))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 2 (pow b 2)) (/ a (pow b 2))))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 2 a) b)) 1) b))))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 2 a) b)) 1) b))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
a
(* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))
(* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))
(* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))
a
(* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) a)) 1)))
a
(+ a b)
(+ a (* b (+ 1 (* 1/2 b))))
(+ a (* b (+ 1 (* 1/2 b))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ a (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ a (pow b 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ a b)) 1) b))))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ a b)) 1) b))))
(* b (+ 1 (* 1/2 b)))
(+ a (* b (+ 1 (* 1/2 b))))
(+ a (* b (+ 1 (* 1/2 b))))
(+ a (* b (+ 1 (* 1/2 b))))
a
(* a (+ 1 (/ (* b (+ 1 (* 1/2 b))) a)))
(* a (+ 1 (/ (* b (+ 1 (* 1/2 b))) a)))
(* a (+ 1 (/ (* b (+ 1 (* 1/2 b))) a)))
a
(* -1 (* a (- (* -1 (/ (* b (+ 1 (* 1/2 b))) a)) 1)))
(* -1 (* a (- (* -1 (/ (* b (+ 1 (* 1/2 b))) a)) 1)))
(* -1 (* a (- (* -1 (/ (* b (+ 1 (* 1/2 b))) a)) 1)))

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 (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 0 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)))
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))
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 a))
(fma.f64 a #s(literal 1/2 binary64) (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) (* 1/2 a))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* a (+ 1/2 (/ (log 2) a)))
(*.f64 a (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)))
(* a (+ 1/2 (/ (log 2) a)))
(*.f64 a (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)))
(* a (+ 1/2 (/ (log 2) a)))
(*.f64 a (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(*.f64 a (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(*.f64 a (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(*.f64 a (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) 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 (* -1/12 b))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal -1/12 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 1/2) (* -2 (log (/ 1 b))))
(fma.f64 #s(literal 2 binary64) (log.f64 b) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (* 2 (/ 1 b))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 b) (/.f64 #s(literal 2 binary64) b)))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 2 (/ 1 b)) (/ 2 (pow b 2)))))
(+.f64 (fma.f64 #s(literal 2 binary64) (log.f64 b) (/.f64 #s(literal 2 binary64) b)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (log.f64 #s(literal 1/2 binary64))))
(- (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 2 (/ 1 b)) (/ 2 (pow b 2))))) (* 16/3 (/ 1 (pow b 3))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 #s(literal 2 binary64) (log.f64 b) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -16/3 binary64) b)) b) b))))
(+ (log 1/2) (* -2 (log (/ -1 b))))
(fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* 2 (/ 1 b))))
(+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)) (log.f64 #s(literal 1/2 binary64))))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (+ (* 2 (/ 1 b)) (/ 2 (pow b 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)) (log.f64 #s(literal 1/2 binary64))))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (- 2 (* 16/3 (/ 1 b))) b)) 2) b))))
(-.f64 (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)) (log.f64 #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 16/3 binary64) b)) b)) 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 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/2 (pow b 2))
(.f64 b (.f64 b #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))
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a
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(fma.f64 a (fma.f64 b (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) a) (/.f64 #s(literal 2 binary64) a)) a)
(* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))
(fma.f64 a (fma.f64 b (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) a) (/.f64 #s(literal 2 binary64) a)) a)
a
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a
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a
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a
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eval111.0ms (0.9%)

Memory: 12.3MiB live, 93.8MiB allocated
Compiler: Compiled 15 517 to 1 792 computations (88.5% saved)

prune187.0ms (1.6%)

Memory

-6.5MiB live, 108.2MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	603	8	611
Fresh	4	5	9
Picked	1	4	5
Done	0	0	0
Total	608	17	625

Accuracy

100.0%

Counts

625 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.3%	(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
▶	45.2%	(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	45.1%	(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
▶	3.5%	(fma.f64 a (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 0 binary64))) (.f64 b #s(literal 1/2 binary64)))
	43.7%	(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	43.9%	(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
	5.2%	(/.f64 b (+.f64 a #s(literal 2 binary64)))
✓	57.7%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
	42.6%	(-.f64 (log.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 a (.f64 a a)))) (log.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 a a) (*.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) a)))))
	5.7%	(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
▶	12.9%	(*.f64 b #s(literal 1/2 binary64))
	42.4%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
▶	46.5%	(log1p.f64 (exp.f64 b))
✓	44.2%	(log1p.f64 #s(literal 1 binary64))
✓	45.0%	(log.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
	44.8%	(log.f64 (+.f64 b #s(literal 2 binary64)))
▶	43.1%	(log.f64 (+.f64 #s(literal 2 binary64) (+.f64 b a)))

Compiler

Compiled 363 to 218 computations (39.9% saved)

simplify16.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 b a)
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (+.f64 b a))
✓	cost-diff	0	(log.f64 (+.f64 #s(literal 2 binary64) (+.f64 b a)))
✓	cost-diff	0	(*.f64 b a)
✓	cost-diff	0	(fma.f64 (*.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64))
✓	cost-diff	384	(fma.f64 a (fma.f64 (*.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 0 binary64)))
✓	cost-diff	384	(fma.f64 a (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 0 binary64))) (.f64 b #s(literal 1/2 binary64)))
✓	cost-diff	-64	(*.f64 b #s(literal 1/2 binary64))
✓	cost-diff	0	(exp.f64 b)
✓	cost-diff	0	(log1p.f64 (exp.f64 b))

Rules

400×	`accelerator-lowering-fma.f32`
400×	`accelerator-lowering-fma.f64`
192×	`-lowering-.f32`
192×	`-lowering-.f64`
180×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	99
1	73	99
2	146	95
3	232	93
4	311	93
5	354	93
6	354	93
0	354	85

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(log (+ 1 (exp b)))
(exp b)
b
(* b 1/2)
b
1/2
(+ (* a (+ (* a (+ (* (* b a) 1/48) 0)) (+ (* b -1/4) 0))) (* b 1/2))
a
(+ (* a (+ (* (* b a) 1/48) 0)) (+ (* b -1/4) 0))
(+ (* (* b a) 1/48) 0)
(* b a)
b
1/48
0
(+ (* b -1/4) 0)
-1/4
(* b 1/2)
1/2
(log (+ 2 (+ b a)))
(+ 2 (+ b a))
2
(+ b a)
b
a
(+ (* b (+ (* b 1/8) 1/2)) (log 2))
b
(+ (* b 1/8) 1/2)
1/8
1/2
(log 2)
2

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

localize205.0ms (1.8%)

Memory

-6.0MiB live, 77.0MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 b a)
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (+.f64 b a))
✓	accuracy	100.0%	(log.f64 (+.f64 #s(literal 2 binary64) (+.f64 b a)))
✓	accuracy	100.0%	(fma.f64 a (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 0 binary64))) (.f64 b #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 b a)
✓	accuracy	100.0%	(*.f64 b #s(literal 1/2 binary64))
✓	accuracy	99.9%	(fma.f64 (*.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64))
✓	accuracy	100.0%	(*.f64 b #s(literal 1/2 binary64))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(log1p.f64 (exp.f64 b))

Samples

96.0ms	141×	0	invalid
81.0ms	115×	0	valid

Compiler

Compiled 99 to 30 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult: 80.0ms (76.6% of total)

ival-add: 9.0ms (8.6% of total)

ival-log: 5.0ms (4.8% of total)

ival-log1p: 4.0ms (3.8% of total)

const: 4.0ms (3.8% of total)

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

exact: 1.0ms (1% of total)

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

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

series71.0ms (0.6%)

Memory

-24.8MiB live, 13.3MiB allocated

Counts

13 → 228

Calls

Call 1

Inputs
#<alt (log (+ 1 (exp b)))>
#<alt (exp b)>
#<alt (* b 1/2)>
#<alt (+ (* a (+ (* a (+ (* (* b a) 1/48) 0)) (+ (* b -1/4) 0))) (* b 1/2))>
#<alt (+ (* a (+ (* (* b a) 1/48) 0)) (+ (* b -1/4) 0))>
#<alt (+ (* (* b a) 1/48) 0)>
#<alt (* b a)>
#<alt (log (+ 2 (+ b a)))>
#<alt (+ 2 (+ b a))>
#<alt (+ b a)>
#<alt (+ (* b (+ (* b 1/8) 1/2)) (log 2))>
#<alt (+ (* b 1/8) 1/2)>
#<alt (log 2)>

Outputs
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (* b (+ 1/2 (* 1/8 b))))>
#<alt (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (+ (* -1/4 (* a b)) (* 1/2 b))>
#<alt (+ (* 1/2 b) (* a (+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))))>
#<alt (+ (* 1/2 b) (* a (+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))>
#<alt (* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (+ (* 1/48 b) (* 1/2 (/ b (pow a 3))))))>
#<alt (* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (+ (* 1/48 b) (* 1/2 (/ b (pow a 3))))))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* -1 (* (pow a 3) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ b (pow a 3))) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2)))))))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ b (pow a 3))) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2)))))))>
#<alt (* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))))>
#<alt (* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))))>
#<alt (* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))))>
#<alt (* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))))>
#<alt (* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))))>
#<alt (* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))))>
#<alt (* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))))>
#<alt (* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))))>
#<alt (* -1 (* b (- (* a (+ 1/4 (* -1/48 (pow a 2)))) 1/2)))>
#<alt (* -1 (* b (- (* a (+ 1/4 (* -1/48 (pow a 2)))) 1/2)))>
#<alt (* -1 (* b (- (* a (+ 1/4 (* -1/48 (pow a 2)))) 1/2)))>
#<alt (* -1 (* b (- (* a (+ 1/4 (* -1/48 (pow a 2)))) 1/2)))>
#<alt (* -1/4 b)>
#<alt (+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))>
#<alt (+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))>
#<alt (+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))>
#<alt (* 1/48 (* (pow a 2) b))>
#<alt (* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))>
#<alt (* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))>
#<alt (* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))>
#<alt (* 1/48 (* (pow a 2) b))>
#<alt (* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))>
#<alt (* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))>
#<alt (* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))>
#<alt (* b (- (* 1/48 (pow a 2)) 1/4))>
#<alt (* b (- (* 1/48 (pow a 2)) 1/4))>
#<alt (* b (- (* 1/48 (pow a 2)) 1/4))>
#<alt (* b (- (* 1/48 (pow a 2)) 1/4))>
#<alt (* b (- (* 1/48 (pow a 2)) 1/4))>
#<alt (* b (- (* 1/48 (pow a 2)) 1/4))>
#<alt (* b (- (* 1/48 (pow a 2)) 1/4))>
#<alt (* b (- (* 1/48 (pow a 2)) 1/4))>
#<alt (* -1 (* b (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (* -1 (* b (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (* -1 (* b (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (* -1 (* b (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (log (+ 2 a))>
#<alt (+ (log (+ 2 a)) (/ b (+ 2 a)))>
#<alt (+ (log (+ 2 a)) (* b (+ (* -1/2 (/ b (pow (+ 2 a) 2))) (/ 1 (+ 2 a)))))>
#<alt (+ (log (+ 2 a)) (* b (+ (* b (- (* 1/3 (/ b (pow (+ 2 a) 3))) (* 1/2 (/ 1 (pow (+ 2 a) 2))))) (/ 1 (+ 2 a)))))>
#<alt (* -1 (log (/ 1 b)))>
#<alt (+ (* -1 (log (/ 1 b))) (+ (* 2 (/ 1 b)) (/ a b)))>
#<alt (+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 2 a) 2) (pow b 2))) (+ (* 2 (/ 1 b)) (/ a b))))>
#<alt (+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 2 a) 2) (pow b 2))) (+ (* 1/3 (/ (pow (+ 2 a) 3) (pow b 3))) (+ (* 2 (/ 1 b)) (/ a b)))))>
#<alt (+ (log -1) (* -1 (log (/ -1 b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (+ (* 2 (/ 1 b)) (/ a b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 2 a)) (* 1/2 (/ (pow (+ 2 a) 2) b))) b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 2 a)) (* -1 (/ (+ (* -1/2 (pow (+ 2 a) 2)) (* 1/3 (/ (pow (+ 2 a) 3) b))) b))) b))))>
#<alt (log (+ 2 b))>
#<alt (+ (log (+ 2 b)) (/ a (+ 2 b)))>
#<alt (+ (log (+ 2 b)) (* a (+ (* -1/2 (/ a (pow (+ 2 b) 2))) (/ 1 (+ 2 b)))))>
#<alt (+ (log (+ 2 b)) (* a (+ (* a (- (* 1/3 (/ a (pow (+ 2 b) 3))) (* 1/2 (/ 1 (pow (+ 2 b) 2))))) (/ 1 (+ 2 b)))))>
#<alt (* -1 (log (/ 1 a)))>
#<alt (+ (* -1 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (/ b a)))>
#<alt (+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 2 b) 2) (pow a 2))) (+ (* 2 (/ 1 a)) (/ b a))))>
#<alt (+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 2 b) 2) (pow a 2))) (+ (* 1/3 (/ (pow (+ 2 b) 3) (pow a 3))) (+ (* 2 (/ 1 a)) (/ b a)))))>
#<alt (+ (log -1) (* -1 (log (/ -1 a))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 a))) (+ (* 2 (/ 1 a)) (/ b a))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 2 b)) (* 1/2 (/ (pow (+ 2 b) 2) a))) a))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 2 b)) (* -1 (/ (+ (* -1/2 (pow (+ 2 b) 2)) (* 1/3 (/ (pow (+ 2 b) 3) a))) a))) a))))>
#<alt (+ 2 a)>
#<alt (+ 2 (+ a b))>
#<alt (+ 2 (+ a b))>
#<alt (+ 2 (+ a b))>
#<alt b>
#<alt (* b (+ 1 (+ (* 2 (/ 1 b)) (/ a b))))>
#<alt (* b (+ 1 (+ (* 2 (/ 1 b)) (/ a b))))>
#<alt (* b (+ 1 (+ (* 2 (/ 1 b)) (/ a b))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (+ 2 a) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ 2 a) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ 2 a) b)) 1)))>
#<alt (+ 2 b)>
#<alt (+ 2 (+ a b))>
#<alt (+ 2 (+ a b))>
#<alt (+ 2 (+ a b))>
#<alt a>
#<alt (* a (+ 1 (+ (* 2 (/ 1 a)) (/ b a))))>
#<alt (* a (+ 1 (+ (* 2 (/ 1 a)) (/ b a))))>
#<alt (* a (+ 1 (+ (* 2 (/ 1 a)) (/ b a))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (+ 2 b) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ 2 b) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ 2 b) a)) 1)))>
#<alt a>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt b>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt b>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt a>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (* b (+ 1/2 (* 1/8 b))))>
#<alt (+ (log 2) (* b (+ 1/2 (* 1/8 b))))>
#<alt (* 1/8 (pow b 2))>
#<alt (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))>
#<alt (* 1/8 (pow b 2))>
#<alt (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))>
#<alt (* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 b))>
#<alt (+ 1/2 (* 1/8 b))>
#<alt (+ 1/2 (* 1/8 b))>
#<alt (* 1/8 b)>
#<alt (* b (+ 1/8 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/8 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/8 (* 1/2 (/ 1 b))))>
#<alt (* 1/8 b)>
#<alt (* b (+ 1/8 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/8 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/8 (* 1/2 (/ 1 b))))>

Calls

57 calls:

Time	Variable		Point	Expression
57.0ms	b	@	inf	(+ (* a (+ (* a (+ (* (* b a) 1/48) 0)) (+ (* b -1/4) 0))) (* b 1/2))
1.0ms	b	@	0	(+ (* a (+ (* a (+ (* (* b a) 1/48) 0)) (+ (* b -1/4) 0))) (* b 1/2))
1.0ms	b	@	-inf	(+ (* a (+ (* a (+ (* (* b a) 1/48) 0)) (+ (* b -1/4) 0))) (* b 1/2))
1.0ms	b	@	inf	(+ (* (* b a) 1/48) 0)
0.0ms	a	@	-inf	(+ (* a (+ (* a (+ (* (* b a) 1/48) 0)) (+ (* b -1/4) 0))) (* b 1/2))

rewrite785.0ms (6.7%)

Memory

33.6MiB live, 460.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 586×	`accelerator-lowering-fma.f32`
6 586×	`accelerator-lowering-fma.f64`
4 448×	`-lowering-.f32`
4 448×	`-lowering-.f64`
4 210×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	77
1	186	77
2	1662	77
0	8296	69

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 766

Calls

Call 1

Inputs
(log (+ 1 (exp b)))
(exp b)
(* b 1/2)
(+ (* a (+ (* a (+ (* (* b a) 1/48) 0)) (+ (* b -1/4) 0))) (* b 1/2))
(+ (* a (+ (* (* b a) 1/48) 0)) (+ (* b -1/4) 0))
(+ (* (* b a) 1/48) 0)
(* b a)
(log (+ 2 (+ b a)))
(+ 2 (+ b a))
(+ b a)
(+ (* b (+ (* b 1/8) 1/2)) (log 2))
(+ (* b 1/8) 1/2)
(log 2)

Outputs
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+.f64 (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))) (log.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))) (log.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (log.f64 (neg.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(-.f64 (log.f64 (expm1.f64 (+.f64 b b))) (log.f64 (expm1.f64 b)))
(neg.f64 (log.f64 (/.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (.f64 b #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 (.f64 b #s(literal 3 binary64)))) (log1p.f64 (exp.f64 (.f64 b #s(literal 3 binary64)))) (fma.f64 (log.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))) (log.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))) (.f64 (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))) (log.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)))))))
(log1p.f64 (exp.f64 b))
(exp.f64 b)
(*.f64 #s(literal 1 binary64) (exp.f64 b))
(*.f64 (exp.f64 b) #s(literal 1 binary64))
(*.f64 b #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) b)
(+.f64 (.f64 b #s(literal 1/2 binary64)) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(+.f64 (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (.f64 b #s(literal 1/2 binary64)))
(+.f64 (fma.f64 a (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 b (.f64 #s(literal -1/4 binary64) a) (*.f64 b #s(literal 1/2 binary64))))
(+.f64 (fma.f64 b #s(literal 1/2 binary64) (fma.f64 a (fma.f64 a (fma.f64 (*.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 a (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 #s(literal -1/2 binary64) b))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 #s(literal -1/2 binary64) b))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (-.f64 (.f64 b #s(literal 1/2 binary64)) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 (.f64 (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 a (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))) (-.f64 (.f64 b #s(literal 1/2 binary64)) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))))
(fma.f64 b #s(literal 1/2 binary64) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (*.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (*.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 a (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 b (.f64 #s(literal -1/4 binary64) a) (*.f64 b #s(literal 1/2 binary64))))
(fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 b #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) (.f64 a a) (fma.f64 b (.f64 #s(literal -1/4 binary64) a) (.f64 b #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) a (fma.f64 b (.f64 #s(literal -1/4 binary64) a) (*.f64 b #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) a (.f64 b #s(literal 1/2 binary64)))
(fma.f64 (.f64 a a) (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) (fma.f64 b (.f64 #s(literal -1/4 binary64) a) (.f64 b #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b #s(literal 1/2 binary64)) (-.f64 (.f64 b #s(literal 1/2 binary64)) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (.f64 (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 a (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))))) (fma.f64 (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (.f64 (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 a (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 #s(literal -1/2 binary64) b)) (.f64 (fma.f64 b #s(literal 1/2 binary64) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 #s(literal -1/2 binary64) b)))))
(/.f64 (fma.f64 (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (.f64 (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 a (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b)))) (fma.f64 (.f64 b #s(literal 1/2 binary64)) (-.f64 (.f64 b #s(literal 1/2 binary64)) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (.f64 (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 a (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (*.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))))))
(/.f64 (fma.f64 (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (.f64 (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 a (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b)))) (fma.f64 #s(literal 1/4 binary64) (.f64 b b) (-.f64 (.f64 (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 a (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))) (.f64 (.f64 b #s(literal 1/2 binary64)) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))))))
(/.f64 (.f64 (fma.f64 b #s(literal 1/2 binary64) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 #s(literal -1/2 binary64) b))) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 #s(literal -1/2 binary64) b)))
(/.f64 (neg.f64 (fma.f64 (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (.f64 (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 a (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))))) (neg.f64 (fma.f64 (.f64 b #s(literal 1/2 binary64)) (-.f64 (.f64 b #s(literal 1/2 binary64)) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (.f64 (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 a (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (*.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (.f64 (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 a (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 b b) (-.f64 (.f64 (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 a (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))) (.f64 (.f64 b #s(literal 1/2 binary64)) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 b (.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 b (.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 b (.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (fma.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (.f64 (/.f64 (.f64 (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 b (*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))))))))
(pow.f64 (/.f64 (fma.f64 b (.f64 (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 b (.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 b (.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))))
(.f64 (.f64 (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/8 binary64)))
(+.f64 (*.f64 b #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 (.f64 b b) #s(literal 1/64 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))) (/.f64 (.f64 (.f64 b b) #s(literal 1/64 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
(fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b b) #s(literal 1/64 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/16 binary64)))) (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/512 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/64 binary64) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 b b) #s(literal 1/64 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/16 binary64)))))
(/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/64 binary64)) (*.f64 b #s(literal 1/16 binary64)))))
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/512 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 b b) #s(literal 1/64 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/16 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/512 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/64 binary64)) (*.f64 b #s(literal 1/16 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/64 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) #s(literal 1/64 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/8 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 b b) #s(literal 1/64 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/16 binary64)))) (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/64 binary64) #s(literal -1/4 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 b b) #s(literal 1/64 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (.f64 (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 b b) #s(literal 1/64 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/16 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/64 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) #s(literal 1/64 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/8 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 b b) #s(literal 1/64 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 b b) #s(literal 1/64 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 b b) #s(literal 1/64 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 (*.f64 b b) #s(literal 1/64 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64)))))))
(pow.f64 (/.f64 (fma.f64 (.f64 b b) #s(literal 1/64 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/16 binary64)))) (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/512 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/64 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) #s(literal 1/64 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/16 binary64))))))
(.f64 (fma.f64 (.f64 b b) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/2 binary64))))
(log.f64 #s(literal 2 binary64))

simplify387.0ms (3.3%)

Memory

-4.2MiB live, 666.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 790×	`accelerator-lowering-fma.f32`
11 790×	`accelerator-lowering-fma.f64`
4 224×	`-lowering-.f32`
4 224×	`-lowering-.f64`
3 086×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	261	1868
1	776	1748
2	2256	1686
3	6115	1666
0	8282	1529

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(log 2)
(+ (log 2) (* 1/2 b))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(+ (* 1/2 b) (* a (+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))))
(+ (* 1/2 b) (* a (+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))))
(* 1/48 (* (pow a 3) b))
(* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))
(* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (+ (* 1/48 b) (* 1/2 (/ b (pow a 3))))))
(* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (+ (* 1/48 b) (* 1/2 (/ b (pow a 3))))))
(* 1/48 (* (pow a 3) b))
(* -1 (* (pow a 3) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2))))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ b (pow a 3))) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2)))))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ b (pow a 3))) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2)))))))
(* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))))
(* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))))
(* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))))
(* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))))
(* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))))
(* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))))
(* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))))
(* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))))
(* -1 (* b (- (* a (+ 1/4 (* -1/48 (pow a 2)))) 1/2)))
(* -1 (* b (- (* a (+ 1/4 (* -1/48 (pow a 2)))) 1/2)))
(* -1 (* b (- (* a (+ 1/4 (* -1/48 (pow a 2)))) 1/2)))
(* -1 (* b (- (* a (+ 1/4 (* -1/48 (pow a 2)))) 1/2)))
(* -1/4 b)
(+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))
(+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))
(+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))
(* 1/48 (* (pow a 2) b))
(* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))
(* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))
(* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))
(* 1/48 (* (pow a 2) b))
(* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))
(* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))
(* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))
(* b (- (* 1/48 (pow a 2)) 1/4))
(* b (- (* 1/48 (pow a 2)) 1/4))
(* b (- (* 1/48 (pow a 2)) 1/4))
(* b (- (* 1/48 (pow a 2)) 1/4))
(* b (- (* 1/48 (pow a 2)) 1/4))
(* b (- (* 1/48 (pow a 2)) 1/4))
(* b (- (* 1/48 (pow a 2)) 1/4))
(* b (- (* 1/48 (pow a 2)) 1/4))
(* -1 (* b (+ 1/4 (* -1/48 (pow a 2)))))
(* -1 (* b (+ 1/4 (* -1/48 (pow a 2)))))
(* -1 (* b (+ 1/4 (* -1/48 (pow a 2)))))
(* -1 (* b (+ 1/4 (* -1/48 (pow a 2)))))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(log (+ 2 a))
(+ (log (+ 2 a)) (/ b (+ 2 a)))
(+ (log (+ 2 a)) (* b (+ (* -1/2 (/ b (pow (+ 2 a) 2))) (/ 1 (+ 2 a)))))
(+ (log (+ 2 a)) (* b (+ (* b (- (* 1/3 (/ b (pow (+ 2 a) 3))) (* 1/2 (/ 1 (pow (+ 2 a) 2))))) (/ 1 (+ 2 a)))))
(* -1 (log (/ 1 b)))
(+ (* -1 (log (/ 1 b))) (+ (* 2 (/ 1 b)) (/ a b)))
(+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 2 a) 2) (pow b 2))) (+ (* 2 (/ 1 b)) (/ a b))))
(+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 2 a) 2) (pow b 2))) (+ (* 1/3 (/ (pow (+ 2 a) 3) (pow b 3))) (+ (* 2 (/ 1 b)) (/ a b)))))
(+ (log -1) (* -1 (log (/ -1 b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (+ (* 2 (/ 1 b)) (/ a b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 2 a)) (* 1/2 (/ (pow (+ 2 a) 2) b))) b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 2 a)) (* -1 (/ (+ (* -1/2 (pow (+ 2 a) 2)) (* 1/3 (/ (pow (+ 2 a) 3) b))) b))) b))))
(log (+ 2 b))
(+ (log (+ 2 b)) (/ a (+ 2 b)))
(+ (log (+ 2 b)) (* a (+ (* -1/2 (/ a (pow (+ 2 b) 2))) (/ 1 (+ 2 b)))))
(+ (log (+ 2 b)) (* a (+ (* a (- (* 1/3 (/ a (pow (+ 2 b) 3))) (* 1/2 (/ 1 (pow (+ 2 b) 2))))) (/ 1 (+ 2 b)))))
(* -1 (log (/ 1 a)))
(+ (* -1 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (/ b a)))
(+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 2 b) 2) (pow a 2))) (+ (* 2 (/ 1 a)) (/ b a))))
(+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 2 b) 2) (pow a 2))) (+ (* 1/3 (/ (pow (+ 2 b) 3) (pow a 3))) (+ (* 2 (/ 1 a)) (/ b a)))))
(+ (log -1) (* -1 (log (/ -1 a))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (+ (* 2 (/ 1 a)) (/ b a))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 2 b)) (* 1/2 (/ (pow (+ 2 b) 2) a))) a))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 2 b)) (* -1 (/ (+ (* -1/2 (pow (+ 2 b) 2)) (* 1/3 (/ (pow (+ 2 b) 3) a))) a))) a))))
(+ 2 a)
(+ 2 (+ a b))
(+ 2 (+ a b))
(+ 2 (+ a b))
b
(* b (+ 1 (+ (* 2 (/ 1 b)) (/ a b))))
(* b (+ 1 (+ (* 2 (/ 1 b)) (/ a b))))
(* b (+ 1 (+ (* 2 (/ 1 b)) (/ a b))))
b
(* -1 (* b (- (* -1 (/ (+ 2 a) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ 2 a) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ 2 a) b)) 1)))
(+ 2 b)
(+ 2 (+ a b))
(+ 2 (+ a b))
(+ 2 (+ a b))
a
(* a (+ 1 (+ (* 2 (/ 1 a)) (/ b a))))
(* a (+ 1 (+ (* 2 (/ 1 a)) (/ b a))))
(* a (+ 1 (+ (* 2 (/ 1 a)) (/ b a))))
a
(* -1 (* a (- (* -1 (/ (+ 2 b) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ 2 b) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ 2 b) a)) 1)))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(log 2)
(+ (log 2) (* 1/2 b))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(* 1/8 (pow b 2))
(* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))
(* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))
(* 1/8 (pow b 2))
(* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))
(* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))
1/2
(+ 1/2 (* 1/8 b))
(+ 1/2 (* 1/8 b))
(+ 1/2 (* 1/8 b))
(* 1/8 b)
(* b (+ 1/8 (* 1/2 (/ 1 b))))
(* b (+ 1/8 (* 1/2 (/ 1 b))))
(* b (+ 1/8 (* 1/2 (/ 1 b))))
(* 1/8 b)
(* b (+ 1/8 (* 1/2 (/ 1 b))))
(* b (+ 1/8 (* 1/2 (/ 1 b))))
(* b (+ 1/8 (* 1/2 (/ 1 b))))

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

eval430.0ms (3.7%)

Memory: -31.8MiB live, 306.3MiB allocated
Compiler: Compiled 32 237 to 3 032 computations (90.6% saved)

prune125.0ms (1.1%)

Memory

16.4MiB live, 304.2MiB allocated

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	1 001	7	1 008
Fresh	1	7	8
Picked	1	4	5
Done	1	3	4
Total	1 004	21	1 025

Accuracy

100.0%

Counts

1 025 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.3%	(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	45.2%	(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	45.1%	(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
	43.7%	(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	5.7%	(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 b #s(literal 1/2 binary64)))
✓	43.9%	(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
	5.2%	(/.f64 b (+.f64 a #s(literal 2 binary64)))
✓	57.7%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
	42.5%	(-.f64 (log.f64 (fma.f64 (+.f64 b #s(literal 2 binary64)) (.f64 (+.f64 b #s(literal 2 binary64)) (+.f64 b #s(literal 2 binary64))) (.f64 a (.f64 a a)))) (log.f64 (fma.f64 (+.f64 b #s(literal 2 binary64)) (+.f64 b #s(literal 2 binary64)) (-.f64 (.f64 a a) (*.f64 (+.f64 b #s(literal 2 binary64)) a)))))
	12.7%	(*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
	5.7%	(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
✓	12.9%	(*.f64 b #s(literal 1/2 binary64))
	5.4%	(.f64 #s(literal 1/8 binary64) (.f64 b b))
	2.3%	(.f64 #s(literal 1/48 binary64) (.f64 a (.f64 b (.f64 a a))))
	45.0%	(log1p.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))
	44.8%	(log1p.f64 (+.f64 b #s(literal 1 binary64)))
	42.4%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
✓	46.5%	(log1p.f64 (exp.f64 b))
✓	44.2%	(log1p.f64 #s(literal 1 binary64))
	44.8%	(log.f64 (+.f64 b #s(literal 2 binary64)))
✓	43.1%	(log.f64 (+.f64 #s(literal 2 binary64) (+.f64 b a)))

Compiler

Compiled 562 to 264 computations (53% saved)

regimes59.0ms (0.5%)

Memory

0.1MiB live, 118.8MiB allocated

Counts

38 → 2

Calls

Call 1

Inputs
(*.f64 b #s(literal 1/2 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 b b))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 b (+.f64 a #s(literal 2 binary64)))
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 b #s(literal 1/2 binary64)))
(.f64 #s(literal 1/48 binary64) (.f64 a (.f64 b (.f64 a a))))
(fma.f64 a (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 0 binary64))) (.f64 b #s(literal 1/2 binary64)))
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(log1p.f64 (+.f64 b #s(literal 1 binary64)))
(log.f64 (+.f64 #s(literal 2 binary64) (+.f64 b a)))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 (.f64 #s(literal 1/2 binary64) (.f64 b b)))
(log.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
(log1p.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a)))
(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.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))))
(-.f64 (log.f64 (fma.f64 (+.f64 b #s(literal 2 binary64)) (.f64 (+.f64 b #s(literal 2 binary64)) (+.f64 b #s(literal 2 binary64))) (.f64 a (.f64 a a)))) (log.f64 (fma.f64 (+.f64 b #s(literal 2 binary64)) (+.f64 b #s(literal 2 binary64)) (-.f64 (.f64 a a) (*.f64 (+.f64 b #s(literal 2 binary64)) a)))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(-.f64 (log.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 a (.f64 a a)))) (log.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 a a) (*.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) a)))))
(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 (*.f64 b #s(literal 3 binary64)))) (log.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
100.0%	2	`a`
98.3%	1	`b`
98.3%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.3%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
100.0%	2	`(exp.f64 a)`
98.3%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes20.0ms (0.2%)

Memory

3.1MiB live, 42.1MiB allocated

Counts

35 → 2

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	a
7.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
100.0%	2	`a`
100.0%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes51.0ms (0.4%)

Memory

-5.8MiB live, 113.1MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
(*.f64 b #s(literal 1/2 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 b b))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 b (+.f64 a #s(literal 2 binary64)))
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 b #s(literal 1/2 binary64)))
(.f64 #s(literal 1/48 binary64) (.f64 a (.f64 b (.f64 a a))))
(fma.f64 a (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 0 binary64))) (.f64 b #s(literal 1/2 binary64)))
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(log1p.f64 (+.f64 b #s(literal 1 binary64)))
(log.f64 (+.f64 #s(literal 2 binary64) (+.f64 b a)))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 (.f64 #s(literal 1/2 binary64) (.f64 b b)))
(log.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
(log1p.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a)))
(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.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))))
(-.f64 (log.f64 (fma.f64 (+.f64 b #s(literal 2 binary64)) (.f64 (+.f64 b #s(literal 2 binary64)) (+.f64 b #s(literal 2 binary64))) (.f64 a (.f64 a a)))) (log.f64 (fma.f64 (+.f64 b #s(literal 2 binary64)) (+.f64 b #s(literal 2 binary64)) (-.f64 (.f64 a a) (*.f64 (+.f64 b #s(literal 2 binary64)) a)))))

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

Calls

6 calls:

10.0ms	b
9.0ms	a
8.0ms	(exp.f64 b)
8.0ms	(exp.f64 a)
7.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
69.6%	2	`b`
98.4%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.4%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
60.6%	2	`(exp.f64 b)`
99.5%	2	`a`
99.5%	2	`(exp.f64 a)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes28.0ms (0.2%)

Memory

-15.0MiB live, 63.2MiB allocated

Counts

26 → 2

Calls

Call 1

Inputs
(*.f64 b #s(literal 1/2 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 b b))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 b (+.f64 a #s(literal 2 binary64)))
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 b #s(literal 1/2 binary64)))
(.f64 #s(literal 1/48 binary64) (.f64 a (.f64 b (.f64 a a))))
(fma.f64 a (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 0 binary64))) (.f64 b #s(literal 1/2 binary64)))
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(log1p.f64 (+.f64 b #s(literal 1 binary64)))
(log.f64 (+.f64 #s(literal 2 binary64) (+.f64 b a)))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 (.f64 #s(literal 1/2 binary64) (.f64 b b)))
(log.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
(log1p.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a)))
(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log1p.f64 (exp.f64 a))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.2%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
97.2%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.3%	2	`a`
98.3%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes13.0ms (0.1%)

Memory

29.9MiB live, 29.9MiB allocated

Counts

23 → 2

Calls

Call 1

Inputs
(*.f64 b #s(literal 1/2 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 b b))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 b (+.f64 a #s(literal 2 binary64)))
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 b #s(literal 1/2 binary64)))
(.f64 #s(literal 1/48 binary64) (.f64 a (.f64 b (.f64 a a))))
(fma.f64 a (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 0 binary64))) (.f64 b #s(literal 1/2 binary64)))
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(log1p.f64 (+.f64 b #s(literal 1 binary64)))
(log.f64 (+.f64 #s(literal 2 binary64) (+.f64 b a)))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 (.f64 #s(literal 1/2 binary64) (.f64 b b)))
(log.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
(log1p.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))

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

Calls

2 calls:

7.0ms	a
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.2%	2	`a`
98.2%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes37.0ms (0.3%)

Memory

-10.1MiB live, 69.6MiB allocated

Counts

22 → 2

Calls

Call 1

Inputs
(*.f64 b #s(literal 1/2 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 b b))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 b (+.f64 a #s(literal 2 binary64)))
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 b #s(literal 1/2 binary64)))
(.f64 #s(literal 1/48 binary64) (.f64 a (.f64 b (.f64 a a))))
(fma.f64 a (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 0 binary64))) (.f64 b #s(literal 1/2 binary64)))
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(log1p.f64 (+.f64 b #s(literal 1 binary64)))
(log.f64 (+.f64 #s(literal 2 binary64) (+.f64 b a)))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 (.f64 #s(literal 1/2 binary64) (.f64 b b)))
(log.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
(log1p.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))

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

Calls

6 calls:

8.0ms	b
6.0ms	a
6.0ms	(exp.f64 a)
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
45.2%	1	`(exp.f64 b)`
47.5%	2	`b`
53.4%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
53.4%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
53.4%	2	`a`
53.4%	2	`(exp.f64 a)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes16.0ms (0.1%)

Memory

-14.1MiB live, 24.5MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
(*.f64 b #s(literal 1/2 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 b b))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 b (+.f64 a #s(literal 2 binary64)))
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 b #s(literal 1/2 binary64)))
(.f64 #s(literal 1/48 binary64) (.f64 a (.f64 b (.f64 a a))))
(fma.f64 a (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 0 binary64))) (.f64 b #s(literal 1/2 binary64)))
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(log1p.f64 (+.f64 b #s(literal 1 binary64)))

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

Calls

4 calls:

5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	a
3.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
53.0%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
53.0%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
53.0%	2	`a`
53.0%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes12.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
(*.f64 b #s(literal 1/2 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 b b))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 b (+.f64 a #s(literal 2 binary64)))
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 b #s(literal 1/2 binary64)))
(.f64 #s(literal 1/48 binary64) (.f64 a (.f64 b (.f64 a a))))
(fma.f64 a (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 0 binary64))) (.f64 b #s(literal 1/2 binary64)))
(log1p.f64 #s(literal 1 binary64))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
52.3%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
52.3%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
52.4%	2	`a`
52.4%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes17.0ms (0.1%)

Memory

-9.2MiB live, 29.8MiB allocated

Accuracy

Total -6.8b remaining (-12.3%)

Threshold costs -6.8b (-12.3%)

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 b #s(literal 1/2 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 b b))
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 b (+.f64 a #s(literal 2 binary64)))
(fma.f64 a (.f64 b #s(literal -1/4 binary64)) (.f64 b #s(literal 1/2 binary64)))
(.f64 #s(literal 1/48 binary64) (.f64 a (.f64 b (.f64 a a))))
(fma.f64 a (fma.f64 a (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 0 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 0 binary64))) (.f64 b #s(literal 1/2 binary64)))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
12.9%	1	`(exp.f64 b)`
12.9%	1	`b`
12.9%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
12.9%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
12.9%	1	`a`
12.9%	1	`(exp.f64 a)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999998902	1.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999927423900946

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999927423900946

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	0.9999927423900946

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999927423900946

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999927423900946

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999927423900946

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999927423900946

Compiler

Compiled 11 to 11 computations (0% saved)

simplify8.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	126
1	47	126

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (exp.f64 a) #s(literal 9007199254740003/9007199254740992 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 b a))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 b a))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))
(*.f64 b #s(literal 1/2 binary64))

Outputs
(if (<=.f64 (exp.f64 a) #s(literal 9007199254740003/9007199254740992 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 9007199254740003/9007199254740992 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 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) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 b a))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 a b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 b a))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 a b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log.f64 (+.f64 b #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))
(*.f64 b #s(literal 1/2 binary64))

soundness806.0ms (6.9%)

Memory

10.1MiB live, 552.8MiB allocated

Rules

18 508×	`accelerator-lowering-fma.f32`
18 508×	`accelerator-lowering-fma.f64`
16 774×	`accelerator-lowering-fma.f32`
16 774×	`accelerator-lowering-fma.f64`
9 782×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	292	1799
1	879	1750
2	2509	1690
0	8321	1502
0	394	3364
1	1131	3282
2	3334	3246
0	8168	2872
0	99	564
1	274	564
2	757	556
3	2515	548
0	8549	500

Stop Event

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

Compiler

Compiled 443 to 266 computations (40% saved)

preprocess57.0ms (0.5%)

Memory: -15.4MiB live, 99.2MiB allocated
Compiler: Compiled 312 to 112 computations (64.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze158.0ms (1.4%)

sample4.5s (38.8%)

preprocess13.0ms (0.1%)

explain149.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize78.0ms (0.7%)

series94.0ms (0.8%)

rewrite103.0ms (0.9%)

simplify533.0ms (4.6%)

eval18.0ms (0.2%)

prune19.0ms (0.2%)

simplify11.0ms (0.1%)

localize186.0ms (1.6%)

series281.0ms (2.4%)

rewrite408.0ms (3.5%)

simplify419.0ms (3.6%)

eval149.0ms (1.3%)

prune140.0ms (1.2%)

simplify9.0ms (0.1%)

localize69.0ms (0.6%)

series11.0ms (0.1%)

rewrite324.0ms (2.8%)

simplify525.0ms (4.5%)

eval111.0ms (0.9%)

prune187.0ms (1.6%)

simplify16.0ms (0.1%)

localize205.0ms (1.8%)

series71.0ms (0.6%)

rewrite785.0ms (6.7%)

simplify387.0ms (3.3%)

eval430.0ms (3.7%)

prune125.0ms (1.1%)

regimes59.0ms (0.5%)

regimes20.0ms (0.2%)

regimes51.0ms (0.4%)

regimes28.0ms (0.2%)

regimes13.0ms (0.1%)

regimes37.0ms (0.3%)

regimes16.0ms (0.1%)

regimes12.0ms (0.1%)

regimes17.0ms (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%)

simplify8.0ms (0.1%)

soundness806.0ms (6.9%)

preprocess57.0ms (0.5%)

end0.0ms (0%)

Profiling