Metrics for symmetry log of sum of exp

analyze147.0ms (1%)

Memory

7.6MiB live, 200.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 8 to 8 computations (0% saved)

sample4.6s (30.5%)

Memory

101.6MiB live, 5 782.2MiB allocated

Samples

1.9s	7 880×	5	exit
1.1s	1 633×	2	valid
449.0ms	2 218×	1	valid
338.0ms	4 405×	0	valid

Precisions

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

ival-log: 1.3s (44.6% of total)

ival-exp: 955.0ms (32.4% of total)

adjust: 406.0ms (13.8% of total)

ival-add: 256.0ms (8.7% of total)

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

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

Bogosity

preprocess13.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB 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)

explain146.0ms (1%)

Memory

1.9MiB live, 160.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
118	-	-	`(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	112	0
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	oflow-rescue	5	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	5
↳	`(exp.f64 b)`	overflow	5
`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	117
↳	`(exp.f64 b)`	underflow	1

Confusion

	Predicted +	Predicted -
+	118	0
-	0	138

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	118	0	0
-	0	0	138

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	138
1	118

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms	94×	2	valid
32.0ms	122×	1	valid
22.0ms	296×	0	valid

Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-log: 46.0ms (59.8% of total)

ival-exp: 23.0ms (29.9% of total)

ival-add: 4.0ms (5.2% of total)

adjust: 3.0ms (3.9% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.4%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify6.0ms (0%)

Memory

-37.2MiB live, 3.9MiB 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

localize53.0ms (0.4%)

Memory

7.6MiB live, 83.5MiB 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	58.5%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

23.0ms	47×	2	valid
13.0ms	61×	1	valid
9.0ms	148×	0	valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-log: 19.0ms (54.8% of total)

ival-exp: 11.0ms (31.7% of total)

adjust: 2.0ms (5.8% of total)

ival-add: 2.0ms (5.8% of total)

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

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

series99.0ms (0.7%)

Memory

6.9MiB live, 112.8MiB 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
37.0ms	a	@	-inf	(log (+ (exp a) (exp b)))
29.0ms	a	@	inf	(log (+ (exp a) (exp b)))
15.0ms	b	@	inf	(log (+ (exp a) (exp b)))
15.0ms	b	@	-inf	(log (+ (exp a) (exp b)))
1.0ms	b	@	0	(log (+ (exp a) (exp b)))

rewrite141.0ms (0.9%)

Memory

-16.2MiB live, 137.4MiB 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 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b)))))))
(+.f64 (log.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (.f64 #s(literal 2 binary64) b)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (log.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b))))))
(-.f64 (log.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b)))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) b)) (exp.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b))))) #s(literal 3 binary64))) (+.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 (.f64 (log.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b))))) (log.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b)))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (.f64 #s(literal 2 binary64) b)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (.f64 #s(literal 2 binary64) b)))) (log.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (.f64 #s(literal 2 binary64) b))))) (+.f64 (.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 #s(literal 2 binary64) a)) (exp.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b))))) (log.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b)))))))
(/.f64 (-.f64 (.f64 (log.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (.f64 #s(literal 2 binary64) b)))) (log.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) a)) (exp.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) a)) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) b)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 (exp.f64 a) (exp.f64 b)) (neg.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (-.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (+.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (.f64 #s(literal 2 binary64) b))) (exp.f64 (+.f64 a b))) (neg.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b)))))))
(neg.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b)))))
(/.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) a) #s(literal 3 binary64))) (-.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) b)) (exp.f64 (.f64 #s(literal 2 binary64) a)))))
(/.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (exp.f64 (.f64 #s(literal 2 binary64) a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (-.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) a) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 #s(literal 2 binary64) b) #s(literal 3 binary64)))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) a) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 #s(literal 2 binary64) b) #s(literal 3 binary64)))) (.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (+.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal 2 binary64) a))) (+.f64 (exp.f64 (+.f64 (.f64 #s(literal 2 binary64) b) (.f64 #s(literal 2 binary64) b))) (exp.f64 (+.f64 (.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 2 binary64) b)))))))
(/.f64 (-.f64 (exp.f64 (+.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal 2 binary64) a))) (exp.f64 (+.f64 (.f64 #s(literal 2 binary64) b) (.f64 #s(literal 2 binary64) b)))) (.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) a)) (-.f64 (exp.f64 a) (exp.f64 b))) (.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) a) #s(literal 3 binary64))) (-.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) b) #s(literal 3 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 3 binary64))))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b))))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) a) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b))))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) a) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 #s(literal 2 binary64) b) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (+.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal 2 binary64) a))) (+.f64 (exp.f64 (+.f64 (.f64 #s(literal 2 binary64) b) (.f64 #s(literal 2 binary64) b))) (exp.f64 (+.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal 2 binary64) b))))) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal 2 binary64) a))) (exp.f64 (+.f64 (.f64 #s(literal 2 binary64) b) (.f64 #s(literal 2 binary64) b)))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (.f64 #s(literal 2 binary64) b))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (exp.f64 (.f64 #s(literal 2 binary64) a)))) (neg.f64 (-.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (-.f64 (exp.f64 a) (exp.f64 b)))) (+.f64 (.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (-.f64 (exp.f64 a) (exp.f64 b)))) (.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) b)) (-.f64 (exp.f64 a) (exp.f64 b)))))))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (-.f64 (exp.f64 a) (exp.f64 b)))) (.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (-.f64 (exp.f64 a) (exp.f64 b))))) (+.f64 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b)))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b)))))) (+.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) a) #s(literal 3 binary64))) (-.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) b) #s(literal 3 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 3 binary64))))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) a) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 #s(literal 2 binary64) b) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) a) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 #s(literal 2 binary64) b) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))) (+.f64 (exp.f64 (+.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal 2 binary64) a))) (+.f64 (exp.f64 (+.f64 (.f64 #s(literal 2 binary64) b) (.f64 #s(literal 2 binary64) b))) (exp.f64 (+.f64 (.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 2 binary64) b))))))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal 2 binary64) a))) (exp.f64 (+.f64 (.f64 #s(literal 2 binary64) b) (.f64 #s(literal 2 binary64) b)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b))))))
(.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b)))) (.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b)))))))
(.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b)))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b))))))
(.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b)))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) a)) (exp.f64 (*.f64 #s(literal 2 binary64) b))))
(.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (exp.f64 (*.f64 #s(literal 2 binary64) a))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a))))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (.f64 #s(literal 2 binary64) b))) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) a) #s(literal 3 binary64))) (pow.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (exp.f64 (+.f64 a b))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal 2 binary64) a))) (.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (exp.f64 (+.f64 a b))) (-.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (exp.f64 (+.f64 a b))) (exp.f64 (.f64 #s(literal 2 binary64) a))))))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) (-.f64 (exp.f64 (+.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal 2 binary64) a))) (pow.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (exp.f64 (+.f64 a b))) #s(literal 2 binary64)))) (+.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (.f64 #s(literal 2 binary64) b))) (exp.f64 (+.f64 a b))))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (.f64 #s(literal 2 binary64) b))) (-.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (+.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (*.f64 #s(literal 2 binary64) b))) (exp.f64 (+.f64 a b))))
(exp.f64 a)
(exp.f64 b)

simplify685.0ms (4.5%)

Memory

9.5MiB live, 790.1MiB 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))))))
(+.f64 (log1p.f64 (exp.f64 b)) (.f64 a (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 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))))))
(+ (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))))))
(+.f64 (log1p.f64 (exp.f64 b)) (.f64 a (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 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)))))))))))
(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))))))
(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 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))))))
(+ (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))))))
(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 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)))))))))))
(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) (+.f64 (exp.f64 b) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 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 (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) (+.f64 (exp.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 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))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 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))))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 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)

eval15.0ms (0.1%)

Memory: 21.4MiB live, 21.4MiB allocated
Compiler: Compiled 2 958 to 403 computations (86.4% saved)

prune21.0ms (0.1%)

Memory

2.7MiB live, 41.3MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	138	11	149
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	138	12	150

Accuracy

99.0%

Counts

150 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.9%	(/.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 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b))))) #s(literal 3 binary64))) (+.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 (.f64 (log.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b))))) (log.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b)))))))))
	98.4%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
▶	98.5%	(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 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))))))
	58.4%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
	53.5%	(log1p.f64 (exp.f64 b))
▶	54.8%	(log1p.f64 (exp.f64 a))
▶	57.4%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
	57.1%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
▶	56.6%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	58.4%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	54.8%	(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶	53.5%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))

Compiler

Compiled 476 to 238 computations (50% saved)

simplify77.0ms (0.5%)

Memory

-22.5MiB live, 95.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
✓	cost-diff	128	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) b)
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))
✓	cost-diff	128	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	cost-diff	0	(exp.f64 b)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	cost-diff	128	(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	(log1p.f64 (exp.f64 a))
✓	cost-diff	0	(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 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))))))
✓	cost-diff	128	(.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
✓	cost-diff	6592	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 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))))

Rules

2 378×	`accelerator-lowering-fma.f32`
2 378×	`accelerator-lowering-fma.f64`
698×	`-lowering-.f32`
698×	`-lowering-.f64`
632×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	271
1	80	263
2	183	263
3	470	259
4	988	259
5	1578	251
6	1783	251
7	1822	251
8	1822	251
0	1822	218

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize212.0ms (1.4%)

Memory

21.9MiB live, 263.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
✓	accuracy	99.9%	(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
✓	accuracy	99.5%	(*.f64 b #s(literal 1/6 binary64))
✓	accuracy	60.7%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) b)
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))
✓	accuracy	60.7%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	accuracy	98.0%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))
✓	accuracy	100.0%	(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 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))))
✓	accuracy	100.0%	(.f64 b (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 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)))))

Samples

56.0ms	61×	1	valid
55.0ms	48×	2	valid
39.0ms	144×	0	valid
1.0ms	1×	5	exit
1.0ms	2×	0	invalid

Compiler

Compiled 267 to 36 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-mult: 33.0ms (26.9% of total)

ival-log: 33.0ms (26.9% of total)

ival-add: 20.0ms (16.3% of total)

adjust: 8.0ms (6.5% of total)

ival-log1p: 7.0ms (5.7% of total)

ival-div: 6.0ms (4.9% of total)

ival-exp: 6.0ms (4.9% of total)

ival-pow2: 4.0ms (3.3% of total)

const: 4.0ms (3.3% of total)

exact: 1.0ms (0.8% of total)

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

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

series445.0ms (2.9%)

Memory

12.6MiB live, 276.9MiB allocated

Counts

19 → 336

Calls

Call 1

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

Outputs
#<alt (/ 1 (+ 1 (exp a)))>
#<alt (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))>
#<alt (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))>
#<alt (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))>
#<alt (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))>
#<alt (* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))>
#<alt (* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))>
#<alt (* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))>
#<alt (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))>
#<alt (+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))))>
#<alt (+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) 1/4)))))>
#<alt (+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* 1/2 (+ (* -1/4 b) (* 3/16 b))) (* a (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))))))) 1/4)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (/ 1 (+ 1 (exp a)))>
#<alt (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))>
#<alt (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))>
#<alt (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))>
#<alt (* 1/2 (/ b (+ 1 (exp a))))>
#<alt (* b (+ (/ 1 (* b (+ 1 (exp a)))) (* 1/2 (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (/ 1 (* b (+ 1 (exp a)))) (* 1/2 (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (/ 1 (* b (+ 1 (exp a)))) (* 1/2 (/ 1 (+ 1 (exp a))))))>
#<alt (* 1/2 (/ b (+ 1 (exp a))))>
#<alt (* b (+ (/ 1 (* b (+ 1 (exp a)))) (* 1/2 (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (/ 1 (* b (+ 1 (exp a)))) (* 1/2 (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (/ 1 (* b (+ 1 (exp a)))) (* 1/2 (/ 1 (+ 1 (exp a))))))>
#<alt (* 1/2 (+ 1 (* 1/2 b)))>
#<alt (+ (* -1/4 (* a (+ 1 (* 1/2 b)))) (* 1/2 (+ 1 (* 1/2 b))))>
#<alt (+ (* 1/2 (+ 1 (* 1/2 b))) (* a (- (* -1 (* a (+ (* -1/8 (+ 1 (* 1/2 b))) (* 1/8 (+ 1 (* 1/2 b)))))) (* 1/4 (+ 1 (* 1/2 b))))))>
#<alt (+ (* 1/2 (+ 1 (* 1/2 b))) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 (+ 1 (* 1/2 b))) (* 1/8 (+ 1 (* 1/2 b))))) (+ (* -1/16 (+ 1 (* 1/2 b))) (* 1/24 (+ 1 (* 1/2 b))))))) (+ (* -1/8 (+ 1 (* 1/2 b))) (* 1/8 (+ 1 (* 1/2 b)))))) (* 1/4 (+ 1 (* 1/2 b))))))>
#<alt (/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))>
#<alt (/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))>
#<alt (/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))>
#<alt (/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))>
#<alt (/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))>
#<alt (/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))>
#<alt (/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))>
#<alt (/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))>
#<alt (+ (log 2) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))>
#<alt (+ (log 2) (+ (* a (+ 1/2 (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))>
#<alt (+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))>
#<alt (+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<alt (* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))>
#<alt (* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))>
#<alt (* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b))))>
#<alt (* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (+ (log 2) (* a (+ 1/2 (* 1/8 a))))>
#<alt (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (* b (+ 1/2 (* 1/8 b))))>
#<alt (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (log (+ 2 b))>
#<alt (+ (log (+ 2 b)) (/ a (+ 2 b)))>
#<alt (+ (log (+ 2 b)) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2))))) (/ 1 (+ 2 b)))))>
#<alt (+ (log (+ 2 b)) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 b) 3))) (/ 1 (+ 2 b))) (* 3 (/ 1 (pow (+ 2 b) 2)))))) (* 1/2 (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2)))))) (/ 1 (+ 2 b)))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/3 (/ b (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<alt (* -1 (log (/ 1 b)))>
#<alt (+ (* -1 (log (/ 1 b))) (+ (/ 1 b) (/ (exp a) b)))>
#<alt (+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (/ 1 b) (/ (exp a) b))))>
#<alt (+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (* 1/3 (/ (pow (+ 1 (exp a)) 3) (pow b 3))) (+ (/ 1 b) (/ (exp a) b)))))>
#<alt (+ (log -1) (* -1 (log (/ -1 b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (+ (/ 1 b) (/ (exp a) b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* 1/2 (/ (pow (+ 1 (exp a)) 2) b))) b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* -1 (/ (+ (* -1/2 (pow (+ 1 (exp a)) 2)) (* 1/3 (/ (pow (+ 1 (exp a)) 3) b))) b))) b))))>
#<alt (+ 2 b)>
#<alt (+ 2 (+ a b))>
#<alt (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt b>
#<alt (* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))>
#<alt (* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))>
#<alt (* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 b)>
#<alt (+ 1 b)>
#<alt b>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt b>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ a (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (+ (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))))>
#<alt (+ (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (* 3 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))))) (* 1/2 (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (log 1/6) (* -3 (log (/ 1 b))))>
#<alt (+ (log 1/6) (+ (* -3 (log (/ 1 b))) (* 3 (/ 1 b))))>
#<alt (+ (log 1/6) (+ (* -3 (log (/ 1 b))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2)))))>
#<alt (+ (log 1/6) (+ (* -3 (log (/ 1 b))) (+ (* 1/6 (/ (- (* 36 (+ 1 (exp a))) 54) (pow b 3))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2))))))>
#<alt (+ (log -1/6) (* -3 (log (/ -1 b))))>
#<alt (+ (log -1/6) (+ (* -3 (log (/ -1 b))) (* 3 (/ 1 b))))>
#<alt (+ (log -1/6) (+ (* -3 (log (/ -1 b))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2)))))>
#<alt (+ (log -1/6) (+ (* -3 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (+ 3/2 (* -1/6 (/ (+ 54 (* -36 (+ 1 (exp a)))) b))) b)) 3) b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (+ (/ 1 (pow b 3)) (/ (exp a) (pow b 3)))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))) b)) 1/6)))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (/ 1 (pow b 3))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))) b)) 1/6)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))>
#<alt (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))>
#<alt (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))>
#<alt (* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))>
#<alt (* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))>
#<alt (* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))>
#<alt (* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))>
#<alt (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))>
#<alt (+ (* a (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))>
#<alt (+ (* a (+ (* a (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))>
#<alt (+ (* a (+ (* a (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))>
#<alt (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))>
#<alt (* -1/2 (/ b (pow (+ 1 (exp a)) 2)))>
#<alt (* -1/2 (/ b (pow (+ 1 (exp a)) 2)))>
#<alt (* -1/2 (/ b (pow (+ 1 (exp a)) 2)))>
#<alt (* -1/2 (/ b (pow (+ 1 (exp a)) 2)))>
#<alt (* -1/2 (/ b (pow (+ 1 (exp a)) 2)))>
#<alt (* -1/2 (/ b (pow (+ 1 (exp a)) 2)))>
#<alt (* -1/2 (/ b (pow (+ 1 (exp a)) 2)))>
#<alt (* -1/2 (/ b (pow (+ 1 (exp a)) 2)))>
#<alt (* -1/2 (/ b (pow (+ 1 (exp a)) 2)))>
#<alt (* -1/2 (/ b (pow (+ 1 (exp a)) 2)))>
#<alt (* -1/2 (/ b (pow (+ 1 (exp a)) 2)))>
#<alt (* -1/2 (/ b (pow (+ 1 (exp a)) 2)))>
#<alt (* -1/8 b)>
#<alt (+ (* -1/8 b) (* 1/8 (* a b)))>
#<alt (+ (* -1/8 b) (* a (+ (* 1/8 b) (* 1/2 (* a (+ (* -1/4 b) (* 3/16 b)))))))>
#<alt (+ (* -1/8 b) (* a (+ (* 1/8 b) (* a (+ (* 1/2 (* a (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b))))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))))>
#<alt (* -1/2 (/ b (pow (+ 1 (exp a)) 2)))>
#<alt (* -1/2 (/ b (pow (+ 1 (exp a)) 2)))>
#<alt (* -1/2 (/ b (pow (+ 1 (exp a)) 2)))>
#<alt (* -1/2 (/ b (pow (+ 1 (exp a)) 2)))>
#<alt (* -1/2 (/ b (pow (+ 1 (exp a)) 2)))>
#<alt (* -1/2 (/ b (pow (+ 1 (exp a)) 2)))>
#<alt (* -1/2 (/ b (pow (+ 1 (exp a)) 2)))>
#<alt (* -1/2 (/ b (pow (+ 1 (exp a)) 2)))>
#<alt 4>
#<alt (+ 4 (* 4 a))>
#<alt (+ 4 (* a (+ 4 (* 3 a))))>
#<alt (+ 4 (* a (+ 4 (* a (+ 3 (* 5/3 a))))))>
#<alt (pow (+ 1 (exp a)) 2)>
#<alt (pow (+ 1 (exp a)) 2)>
#<alt (pow (+ 1 (exp a)) 2)>
#<alt (pow (+ 1 (exp a)) 2)>
#<alt (pow (+ 1 (exp a)) 2)>
#<alt (pow (+ 1 (exp a)) 2)>
#<alt (pow (+ 1 (exp a)) 2)>
#<alt (pow (+ 1 (exp a)) 2)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt b>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))>
#<alt (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>

Calls

84 calls:

Time	Variable		Point	Expression
248.0ms	a	@	inf	(log (+ (exp a) (+ 1 b)))
51.0ms	a	@	-inf	(log (+ (exp a) (+ 1 (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))))
21.0ms	b	@	inf	(+ (* (+ 1 (* b 1/2)) (/ 1 (+ 1 (exp a)))) (/ (* b -1/2) (pow (+ 1 (exp a)) 2)))
19.0ms	a	@	inf	(log (+ (exp a) (+ 1 (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))))
19.0ms	a	@	inf	(+ (log (+ 1 (exp a))) (* b (+ (* (+ 1 (* b 1/2)) (/ 1 (+ 1 (exp a)))) (/ (* b -1/2) (pow (+ 1 (exp a)) 2)))))

rewrite461.0ms (3%)

Memory

29.8MiB live, 733.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 076×	`-lowering-.f32`
5 076×	`-lowering-.f64`
4 054×	`/-lowering-/.f32`
4 054×	`/-lowering-/.f64`
3 338×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	193
1	221	193
2	2248	193
0	8762	164

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 923

Calls

Call 1

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

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

simplify497.0ms (3.3%)

Memory

5.2MiB live, 717.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 084×	`accelerator-lowering-fma.f32`
12 084×	`accelerator-lowering-fma.f64`
4 418×	`-lowering-.f32`
4 418×	`-lowering-.f64`
4 190×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	501	4760
1	1593	4590
2	5411	4324
0	8309	3876

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

Outputs
(/ 1 (+ 1 (exp a)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))
(+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))
(+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))
(+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)))
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))
(+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))
(+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))
(+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(+ 1/2 (+ (* -1/8 b) (* 1/4 b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/8 binary64)))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))))
(+.f64 (.f64 b #s(literal 1/8 binary64)) (+.f64 (.f64 a #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) 1/4)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))) (.f64 a (+.f64 #s(literal -1/4 binary64) (.f64 a (.f64 b #s(literal -1/32 binary64))))))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* 1/2 (+ (* -1/4 b) (* 3/16 b))) (* a (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))))))) 1/4)))))
(+.f64 (.f64 b #s(literal 1/8 binary64)) (+.f64 (.f64 a (+.f64 #s(literal -1/4 binary64) (.f64 a (+.f64 (.f64 b #s(literal -1/32 binary64)) (.f64 a (+.f64 #s(literal 1/48 binary64) (+.f64 (.f64 b #s(literal 1/32 binary64)) (*.f64 b #s(literal -1/32 binary64))))))))) #s(literal 1/2 binary64)))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(/ 1 (+ 1 (exp a)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(* 1/2 (/ b (+ 1 (exp a))))
(/.f64 (*.f64 b #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* b (+ (/ 1 (* b (+ 1 (exp a)))) (* 1/2 (/ 1 (+ 1 (exp a))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(* b (+ (/ 1 (* b (+ 1 (exp a)))) (* 1/2 (/ 1 (+ 1 (exp a))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(* b (+ (/ 1 (* b (+ 1 (exp a)))) (* 1/2 (/ 1 (+ 1 (exp a))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(* 1/2 (/ b (+ 1 (exp a))))
(/.f64 (*.f64 b #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* b (+ (/ 1 (* b (+ 1 (exp a)))) (* 1/2 (/ 1 (+ 1 (exp a))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(* b (+ (/ 1 (* b (+ 1 (exp a)))) (* 1/2 (/ 1 (+ 1 (exp a))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(* b (+ (/ 1 (* b (+ 1 (exp a)))) (* 1/2 (/ 1 (+ 1 (exp a))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(* 1/2 (+ 1 (* 1/2 b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/4 binary64)))
(+ (* -1/4 (* a (+ 1 (* 1/2 b)))) (* 1/2 (+ 1 (* 1/2 b))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/4 binary64))))
(+ (* 1/2 (+ 1 (* 1/2 b))) (* a (- (* -1 (* a (+ (* -1/8 (+ 1 (* 1/2 b))) (* 1/8 (+ 1 (* 1/2 b)))))) (* 1/4 (+ 1 (* 1/2 b))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/4 binary64))))
(+ (* 1/2 (+ 1 (* 1/2 b))) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 (+ 1 (* 1/2 b))) (* 1/8 (+ 1 (* 1/2 b))))) (+ (* -1/16 (+ 1 (* 1/2 b))) (* 1/24 (+ 1 (* 1/2 b))))))) (+ (* -1/8 (+ 1 (* 1/2 b))) (* 1/8 (+ 1 (* 1/2 b)))))) (* 1/4 (+ 1 (* 1/2 b))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/4 binary64))) (.f64 a (+.f64 (.f64 a (.f64 a (.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))) (+.f64 (*.f64 b #s(literal -1/8 binary64)) #s(literal -1/4 binary64)))))
(/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (log 2) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
(+ (log 2) (+ (* a (+ 1/2 (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 b (+.f64 (.f64 a #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))) (.f64 a (+.f64 (.f64 b #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 b (*.f64 b #s(literal -1/32 binary64)))))))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))) (.f64 a (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/4 binary64))) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 b (+.f64 (.f64 b #s(literal -1/32 binary64)) (.f64 a (+.f64 #s(literal 1/48 binary64) (+.f64 (.f64 b #s(literal 1/32 binary64)) (.f64 b #s(literal -1/32 binary64)))))))))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))))))
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(log (+ 1 (exp a)))
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(log (+ 1 (exp a)))
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(log (+ 1 (exp a)))
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(log (+ 1 (exp a)))
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(log (+ 1 (exp a)))
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(log (+ 1 (exp a)))
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(log (+ 1 (exp a)))
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(log (+ 1 (exp a)))
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1
#s(literal 1 binary64)
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(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 b))
(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
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(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
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(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)))
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(log (+ 1 (exp b)))
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(log (+ 1 (exp b)))
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(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
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(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
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(+ 1 (exp b))
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(+ 1 (exp b))
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(+ 1 (exp b))
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(+ 1 (exp b))
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(+ 1 (exp b))
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1
#s(literal 1 binary64)
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(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(log (+ 2 b))
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(log (+ 1 (+ b (exp a))))
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(log (+ 1 (+ b (exp a))))
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(+ 1 (+ b (exp a)))
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b
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
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(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
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(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
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b
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
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(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
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(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
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1
#s(literal 1 binary64)
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(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
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b
(* b (+ 1 (/ 1 b)))
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(* b (+ 1 (/ 1 b)))
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(* b (+ 1 (/ 1 b)))
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b
(* b (+ 1 (/ 1 b)))
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(* b (+ 1 (/ 1 b)))
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(* b (+ 1 (/ 1 b)))
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(log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
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(.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(.f64 b (.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))
(.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))
(.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))
(.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(+ (* a (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))
(.f64 b (+.f64 (.f64 a #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/8 binary64)))))
(+ (* a (+ (* a (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))
(+.f64 (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))) (.f64 (.f64 a b) (+.f64 #s(literal -1/4 binary64) (.f64 a (.f64 b #s(literal -1/32 binary64))))))
(+ (* a (+ (* a (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))
(+.f64 (.f64 a (.f64 (.f64 a b) (+.f64 (.f64 b #s(literal -1/32 binary64)) (.f64 a (+.f64 #s(literal 1/48 binary64) (+.f64 (.f64 b #s(literal 1/32 binary64)) (.f64 b #s(literal -1/32 binary64)))))))) (.f64 b (+.f64 (.f64 a #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(* -1/2 (/ b (pow (+ 1 (exp a)) 2)))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(* -1/2 (/ b (pow (+ 1 (exp a)) 2)))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(* -1/2 (/ b (pow (+ 1 (exp a)) 2)))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(* -1/2 (/ b (pow (+ 1 (exp a)) 2)))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(* -1/2 (/ b (pow (+ 1 (exp a)) 2)))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(* -1/2 (/ b (pow (+ 1 (exp a)) 2)))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(* -1/2 (/ b (pow (+ 1 (exp a)) 2)))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(* -1/2 (/ b (pow (+ 1 (exp a)) 2)))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(* -1/2 (/ b (pow (+ 1 (exp a)) 2)))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(* -1/2 (/ b (pow (+ 1 (exp a)) 2)))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(* -1/2 (/ b (pow (+ 1 (exp a)) 2)))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(* -1/2 (/ b (pow (+ 1 (exp a)) 2)))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(* -1/8 b)
(*.f64 b #s(literal -1/8 binary64))
(+ (* -1/8 b) (* 1/8 (* a b)))
(.f64 b (+.f64 #s(literal -1/8 binary64) (.f64 a #s(literal 1/8 binary64))))
(+ (* -1/8 b) (* a (+ (* 1/8 b) (* 1/2 (* a (+ (* -1/4 b) (* 3/16 b)))))))
(+.f64 (.f64 b #s(literal -1/8 binary64)) (.f64 a (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal -1/16 binary64))))))
(+ (* -1/8 b) (* a (+ (* 1/8 b) (* a (+ (* 1/2 (* a (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b))))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))))
(+.f64 (.f64 b #s(literal -1/8 binary64)) (.f64 a (+.f64 (.f64 b #s(literal 1/8 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (.f64 b #s(literal -1/16 binary64)) (.f64 a (.f64 b #s(literal -1/48 binary64)))) a)))))
(* -1/2 (/ b (pow (+ 1 (exp a)) 2)))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(* -1/2 (/ b (pow (+ 1 (exp a)) 2)))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(* -1/2 (/ b (pow (+ 1 (exp a)) 2)))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(* -1/2 (/ b (pow (+ 1 (exp a)) 2)))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(* -1/2 (/ b (pow (+ 1 (exp a)) 2)))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(* -1/2 (/ b (pow (+ 1 (exp a)) 2)))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(* -1/2 (/ b (pow (+ 1 (exp a)) 2)))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(* -1/2 (/ b (pow (+ 1 (exp a)) 2)))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
4
#s(literal 4 binary64)
(+ 4 (* 4 a))
(+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 4 binary64)))
(+ 4 (* a (+ 4 (* 3 a))))
(+.f64 #s(literal 4 binary64) (.f64 a (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 3 binary64)))))
(+ 4 (* a (+ 4 (* a (+ 3 (* 5/3 a))))))
(+.f64 #s(literal 4 binary64) (.f64 a (+.f64 #s(literal 4 binary64) (.f64 a (+.f64 #s(literal 3 binary64) (*.f64 a #s(literal 5/3 binary64)))))))
(pow (+ 1 (exp a)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))
(pow (+ 1 (exp a)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))
(pow (+ 1 (exp a)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))
(pow (+ 1 (exp a)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))
(pow (+ 1 (exp a)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))
(pow (+ 1 (exp a)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))
(pow (+ 1 (exp a)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))
(pow (+ 1 (exp a)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
b
(* b (+ 1 (* 1/2 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
(* 1/6 (pow b 3))
(.f64 b (.f64 b (*.f64 b #s(literal 1/6 binary64))))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b b) (*.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(.f64 (.f64 b (.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 b b)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(.f64 (.f64 b (.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 b b)))))
(* 1/6 (pow b 3))
(.f64 b (.f64 b (*.f64 b #s(literal 1/6 binary64))))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b b) (*.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 b (*.f64 b b)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 b (*.f64 b b)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) b))))

eval234.0ms (1.5%)

Memory: -17.1MiB live, 330.2MiB allocated
Compiler: Compiled 55 934 to 4 905 computations (91.2% saved)

prune155.0ms (1%)

Memory

16.7MiB live, 334.8MiB allocated

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	1 355	17	1 372
Fresh	2	4	6
Picked	2	3	5
Done	0	1	1
Total	1 359	25	1 384

Accuracy

99.0%

Counts

1 384 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.4%	(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	53.5%	(+.f64 (log1p.f64 (exp.f64 (.f64 b #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 b) (expm1.f64 b))))))
▶	98.4%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
▶	53.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))))
	53.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
	53.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))))))
	53.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
	53.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
	53.5%	(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64)))))))
	58.4%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
	96.5%	(log1p.f64 (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (exp.f64 a)))
	95.2%	(log1p.f64 (+.f64 (exp.f64 a) b))
	51.9%	(log1p.f64 (+.f64 #s(literal 1 binary64) a))
	53.5%	(log1p.f64 (exp.f64 b))
✓	54.8%	(log1p.f64 (exp.f64 a))
	52.8%	(log1p.f64 #s(literal 1 binary64))
▶	57.3%	(log.f64 (+.f64 (exp.f64 a) (+.f64 b (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))) (*.f64 b b)) #s(literal 1 binary64)))))
✓	57.4%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
	57.1%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
✓	56.6%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	58.4%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	53.1%	(log.f64 (+.f64 b #s(literal 2 binary64)))
	17.2%	(log.f64 (.f64 (.f64 b (.f64 b b)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 b b)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) b) (/.f64 (exp.f64 a) (.f64 b (*.f64 b b)))))))
	2.2%	(log.f64 (.f64 (.f64 b b) (*.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))))
▶	1.4%	(log.f64 b)

Compiler

Compiled 579 to 429 computations (25.9% saved)

simplify88.0ms (0.6%)

Memory

10.5MiB live, 49.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 b (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))) (*.f64 b b)) #s(literal 1 binary64)))
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(+.f64 (exp.f64 a) (+.f64 b (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))) (*.f64 b b)) #s(literal 1 binary64))))
✓	cost-diff	128	(log.f64 (+.f64 (exp.f64 a) (+.f64 b (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))) (*.f64 b b)) #s(literal 1 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 b b) #s(literal -1/192 binary64)))))
✓	cost-diff	0	(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64))))))
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))))
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 b #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(log.f64 b)
✓	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

1 388×	`accelerator-lowering-fma.f32`
1 388×	`accelerator-lowering-fma.f64`
520×	`+-lowering-+.f64`
520×	`+-lowering-+.f32`
368×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	204
1	68	204
2	148	204
3	334	204
4	562	204
5	666	204
6	770	204
7	784	204
8	800	204
0	800	175

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 b)
b
(+ (* b 1/2) (log 2))
(* b 1/2)
b
1/2
(log 2)
2
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* (* b b) -1/192))))))
(log 2)
2
(* b (+ 1/2 (* b (+ 1/8 (* (* b b) -1/192)))))
b
(+ 1/2 (* b (+ 1/8 (* (* b b) -1/192))))
1/2
(* b (+ 1/8 (* (* b b) -1/192)))
(+ 1/8 (* (* b b) -1/192))
1/8
(* (* b b) -1/192)
(* b b)
-1/192
(log (+ (exp a) (+ b (+ (* (+ 1/2 (* b 1/6)) (* b b)) 1))))
(+ (exp a) (+ b (+ (* (+ 1/2 (* b 1/6)) (* b b)) 1)))
(exp a)
a
(+ b (+ (* (+ 1/2 (* b 1/6)) (* b b)) 1))
b
(+ (* (+ 1/2 (* b 1/6)) (* b b)) 1)
(* (+ 1/2 (* b 1/6)) (* b b))
(+ 1/2 (* b 1/6))
1/2
(* b 1/6)
1/6
(* b b)
1

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

localize207.0ms (1.4%)

Memory

-6.1MiB live, 126.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 b (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))) (*.f64 b b)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))) (*.f64 b b))
✓	accuracy	99.7%	(*.f64 b #s(literal 1/6 binary64))
✓	accuracy	78.7%	(log.f64 (+.f64 (exp.f64 a) (+.f64 b (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))) (*.f64 b b)) #s(literal 1 binary64)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))
✓	accuracy	100.0%	(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64))))))
✓	accuracy	100.0%	(.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 b b) #s(literal -1/192 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 b b) #s(literal -1/192 binary64))
✓	accuracy	100.0%	(*.f64 b #s(literal 1/2 binary64))
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(log.f64 b)
✓	accuracy	100.0%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))
✓	accuracy	100.0%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))

Samples

53.0ms	96×	0	valid
45.0ms	34×	1	valid
24.0ms	101×	0	invalid
20.0ms	25×	2	valid

Compiler

Compiled 202 to 33 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-add: 42.0ms (35.3% of total)

ival-mult: 42.0ms (35.3% of total)

ival-log: 16.0ms (13.4% of total)

const: 7.0ms (5.9% of total)

adjust: 4.0ms (3.4% of total)

ival-exp: 3.0ms (2.5% of total)

ival-log1p: 3.0ms (2.5% of total)

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

exact: 1.0ms (0.8% of total)

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

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

series141.0ms (0.9%)

Memory

3.9MiB live, 80.6MiB allocated

Counts

20 → 276

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 b)>
#<alt (+ (* b 1/2) (log 2))>
#<alt (* b 1/2)>
#<alt (log 2)>
#<alt (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* (* b b) -1/192))))))>
#<alt (* b (+ 1/2 (* b (+ 1/8 (* (* b b) -1/192)))))>
#<alt (+ 1/2 (* b (+ 1/8 (* (* b b) -1/192))))>
#<alt (log (+ (exp a) (+ b (+ (* (+ 1/2 (* b 1/6)) (* b b)) 1))))>
#<alt (+ (exp a) (+ b (+ (* (+ 1/2 (* b 1/6)) (* b b)) 1)))>
#<alt (+ b (+ (* (+ 1/2 (* b 1/6)) (* b b)) 1))>
#<alt (+ 1 (exp a))>
#<alt (* (* b b) -1/192)>
#<alt (* b (+ 1/8 (* (* b b) -1/192)))>
#<alt (+ 1/8 (* (* b b) -1/192))>
#<alt (* b 1/6)>
#<alt (* (+ 1/2 (* b 1/6)) (* b b))>

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

Calls

69 calls:

Time	Variable		Point	Expression
48.0ms	a	@	inf	(log (+ (exp a) (+ b (+ (* (+ 1/2 (* b 1/6)) (* b b)) 1))))
40.0ms	b	@	0	(log b)
19.0ms	a	@	-inf	(log (+ (exp a) (+ b (+ (* (+ 1/2 (* b 1/6)) (* b b)) 1))))
12.0ms	b	@	-inf	(log b)
5.0ms	b	@	inf	(log b)

rewrite451.0ms (3%)

Memory

-1.9MiB live, 575.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 852×	`accelerator-lowering-fma.f32`
4 852×	`accelerator-lowering-fma.f64`
4 132×	`-lowering-.f32`
4 132×	`-lowering-.f64`
3 672×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	161
1	191	161
2	1808	161
0	8480	137

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 477

Calls

Call 1

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

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))))) (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (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 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.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))) (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) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 a) (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)))) (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (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))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (/.f64 (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 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)))) #s(literal -1 binary64))
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(fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64))
(fma.f64 (*.f64 b #s(literal -1/192 binary64)) b #s(literal 1/8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) (-.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 1/8 binary64)))) (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (*.f64 b b)) #s(literal -1/7077888 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64))) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64)))))
(/.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) #s(literal -1/7077888 binary64)))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) (-.f64 (.f64 (*.f64 b b) #s(literal -1/192 binary64)) #s(literal 1/8 binary64)))))
(/.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) #s(literal -1/7077888 binary64)))) (+.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal -1/1536 binary64) (.f64 b b)))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64))) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) (-.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 1/8 binary64)))) (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (*.f64 b b)) #s(literal -1/7077888 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64))) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) #s(literal -1/7077888 binary64))))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) (-.f64 (.f64 (*.f64 b b) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) #s(literal -1/7077888 binary64))))) (neg.f64 (+.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal -1/1536 binary64) (.f64 b b))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64)))) (neg.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64)) #s(literal 1/64 binary64)) (-.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 1/8 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))) (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64))) (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64)))) (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64))) (-.f64 #s(literal 1/8 binary64) (.f64 (*.f64 b b) #s(literal -1/192 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) #s(literal -1/7077888 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) (-.f64 (.f64 (*.f64 b b) #s(literal -1/192 binary64)) #s(literal 1/8 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64)) #s(literal 1/64 binary64))) (neg.f64 (-.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))) (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))) (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64))))) (.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))) (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 (*.f64 b b) #s(literal -1/192 binary64))))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) (-.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 1/8 binary64)))) (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (*.f64 b b)) #s(literal -1/7077888 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64))) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) #s(literal -1/7077888 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) (-.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))))
(.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (*.f64 b b) #s(literal -1/192 binary64)))))
(*.f64 b #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) b)
(+.f64 (.f64 (.f64 b b) #s(literal 1/2 binary64)) (.f64 (.f64 b b) (*.f64 b #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 b b) (.f64 b #s(literal 1/6 binary64))) (.f64 (*.f64 b b) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 b b)) (.f64 (.f64 b #s(literal 1/6 binary64)) (*.f64 b b)))
(+.f64 (.f64 (.f64 b #s(literal 1/6 binary64)) (.f64 b b)) (.f64 #s(literal 1/2 binary64) (*.f64 b b)))
(fma.f64 #s(literal 1/2 binary64) (.f64 b b) (.f64 (.f64 b #s(literal 1/6 binary64)) (.f64 b b)))
(fma.f64 (.f64 b b) #s(literal 1/2 binary64) (.f64 (.f64 b b) (.f64 b #s(literal 1/6 binary64))))
(fma.f64 (.f64 b b) (.f64 b #s(literal 1/6 binary64)) (.f64 (.f64 b b) #s(literal 1/2 binary64)))
(fma.f64 (.f64 b #s(literal 1/6 binary64)) (.f64 b b) (.f64 #s(literal 1/2 binary64) (.f64 b b)))
(/.f64 (.f64 (.f64 b b) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 b #s(literal 1/6 binary64)) (-.f64 (.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (.f64 b b) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) b)))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64))) (.f64 b b)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 b #s(literal 1/6 binary64)) (-.f64 (.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) #s(literal 1/36 binary64))) (.f64 b b)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) b)))
(/.f64 (neg.f64 (.f64 (.f64 b b) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 b #s(literal 1/6 binary64)) (-.f64 (.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 b b) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) #s(literal 1/36 binary64))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) b))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64))) (.f64 b b))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 b #s(literal 1/6 binary64)) (-.f64 (.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) #s(literal 1/36 binary64))) (.f64 b b))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) b))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 b b) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 b b) (.f64 b #s(literal 1/6 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 b b) #s(literal 1/2 binary64)) (.f64 (.f64 b b) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (.f64 b b) (.f64 b #s(literal 1/6 binary64))) (.f64 (.f64 b b) (.f64 b #s(literal 1/6 binary64)))) (.f64 (.f64 (.f64 b b) #s(literal 1/2 binary64)) (.f64 (.f64 b b) (*.f64 b #s(literal 1/6 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 b b) (.f64 b #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 b b) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 b b) (.f64 b #s(literal 1/6 binary64))) (.f64 (.f64 b b) (.f64 b #s(literal 1/6 binary64)))) (-.f64 (.f64 (.f64 (.f64 b b) #s(literal 1/2 binary64)) (.f64 (.f64 b b) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 b b) (.f64 b #s(literal 1/6 binary64))) (.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 b b)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 b #s(literal 1/6 binary64)) (.f64 b b)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 b b)) (.f64 #s(literal 1/2 binary64) (.f64 b b))) (-.f64 (.f64 (.f64 (.f64 b #s(literal 1/6 binary64)) (.f64 b b)) (.f64 (.f64 b #s(literal 1/6 binary64)) (.f64 b b))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 b b)) (.f64 (.f64 b #s(literal 1/6 binary64)) (*.f64 b b))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 b #s(literal 1/6 binary64)) (.f64 b b)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 b b)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 b #s(literal 1/6 binary64)) (.f64 b b)) (.f64 (.f64 b #s(literal 1/6 binary64)) (.f64 b b))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 b b)) (.f64 #s(literal 1/2 binary64) (.f64 b b))) (.f64 (.f64 (.f64 b #s(literal 1/6 binary64)) (.f64 b b)) (.f64 #s(literal 1/2 binary64) (*.f64 b b))))))
(.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))))
(.f64 b (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))
(.f64 (.f64 b b) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(.f64 (.f64 b b) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))) (*.f64 b b))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))) (.f64 (.f64 b b) #s(literal 1 binary64)))
(.f64 (.f64 b (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))) #s(literal 1 binary64))
(.f64 (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) b)
(.f64 (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))) (.f64 b #s(literal 1 binary64)))

simplify689.0ms (4.5%)

Memory

13.1MiB live, 466.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 034×	`accelerator-lowering-fma.f32`
7 034×	`accelerator-lowering-fma.f64`
4 632×	`+-lowering-+.f64`
4 632×	`+-lowering-+.f32`
4 120×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	327	2751
1	938	2717
2	2972	2682
3	7978	2682
0	8223	2400

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

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

eval144.0ms (1%)

Memory: -23.0MiB live, 170.5MiB allocated
Compiler: Compiled 27 271 to 2 448 computations (91% saved)

prune86.0ms (0.6%)

Memory

11.6MiB live, 175.2MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	775	9	784
Fresh	7	9	16
Picked	3	2	5
Done	3	1	4
Total	788	21	809

Accuracy

99.0%

Counts

809 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.4%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
	53.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 b #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 b (*.f64 b b))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))
▶	53.3%	(+.f64 (+.f64 (.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (.f64 b b) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 b b) #s(literal -1/192 binary64)))))
✓	53.4%	(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
▶	56.8%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))))
	53.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 b b) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))) (.f64 (.f64 b b) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))) (-.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 (.f64 b b) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))))
✓	53.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))))
	53.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
	53.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))))))
	53.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
	53.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
	3.3%	(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (.f64 b b)))))
▶	53.3%	(*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)))
▶	11.2%	(*.f64 #s(literal 1/2 binary64) b)
	4.3%	(.f64 #s(literal -1/192 binary64) (.f64 b (.f64 b (.f64 b b))))
	53.5%	(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64)))))))
	51.9%	(log1p.f64 (+.f64 #s(literal 1 binary64) a))
	53.5%	(log1p.f64 (exp.f64 b))
✓	54.8%	(log1p.f64 (exp.f64 a))
	52.8%	(log1p.f64 #s(literal 1 binary64))
▶	53.1%	(log.f64 (+.f64 b #s(literal 2 binary64)))

Compiler

Compiled 563 to 381 computations (32.3% saved)

simplify596.0ms (3.9%)

Memory

9.4MiB live, 521.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 b #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	cost-diff	128	(+.f64 (+.f64 (.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (.f64 b b) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 b b) #s(literal -1/192 binary64)))))
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (log.f64 #s(literal 2 binary64)) b)
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b))
✓	cost-diff	128	(*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)))
✓	cost-diff	0	(+.f64 b #s(literal 2 binary64))
✓	cost-diff	0	(log.f64 (+.f64 b #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) b)
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(log1p.f64 (exp.f64 a))
✓	cost-diff	0	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))))
✓	cost-diff	12928	(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64)))

Rules

14 898×	`accelerator-lowering-fma.f32`
14 898×	`accelerator-lowering-fma.f64`
5 192×	`-lowering-.f32`
5 192×	`-lowering-.f64`
2 188×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	158
1	63	157
2	125	155
3	189	155
4	229	147
5	254	147
6	396	147
7	643	147
8	1256	147
9	2492	147
10	2762	147
11	2905	147
12	3110	147
13	3404	147
14	3774	147
15	5524	147
16	6494	147
17	7362	147
18	7430	147
19	7510	147
20	7600	147
0	8292	136

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (log (+ 1 (exp a))) (exp (* (log (/ (+ 1 (exp a)) b)) -1)))
(log (+ 1 (exp a)))
(exp a)
a
(exp (* (log (/ (+ 1 (exp a)) b)) -1))
(* (log (/ (+ 1 (exp a)) b)) -1)
(log (/ (+ 1 (exp a)) b))
(/ (+ 1 (exp a)) b)
(+ 1 (exp a))
1
b
-1
(* 1/2 b)
1/2
b
(log (+ b 2))
(+ b 2)
b
2
(* b (+ 1/2 (/ (log 2) b)))
b
(+ 1/2 (/ (log 2) b))
1/2
(/ (log 2) b)
(log 2)
2
(+ (+ (* b 1/2) (log 2)) (* (* b b) (+ 1/8 (* (* b b) -1/192))))
(+ (* b 1/2) (log 2))
(* b 1/2)
b
1/2
(log 2)
2
(* (* b b) (+ 1/8 (* (* b b) -1/192)))
(* b b)
(+ 1/8 (* (* b b) -1/192))
1/8
(* (* b b) -1/192)
-1/192

Outputs
(+ (log (+ 1 (exp a))) (exp (* (log (/ (+ 1 (exp a)) b)) -1)))
(+.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
(exp (* (log (/ (+ 1 (exp a)) b)) -1))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* (log (/ (+ 1 (exp a)) b)) -1)
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(log (/ (+ 1 (exp a)) b))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(/ (+ 1 (exp a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
1
#s(literal 1 binary64)
b
-1
#s(literal -1 binary64)
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
b
(log (+ b 2))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(+ b 2)
(+.f64 b #s(literal 2 binary64))
b
2
#s(literal 2 binary64)
(* b (+ 1/2 (/ (log 2) b)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 1/2 binary64)))
b
(+ 1/2 (/ (log 2) b))
(+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b))
1/2
#s(literal 1/2 binary64)
(/ (log 2) b)
(/.f64 (log.f64 #s(literal 2 binary64)) b)
(log 2)
(log.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (+ (* b 1/2) (log 2)) (* (* b b) (+ 1/8 (* (* b b) -1/192))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))))
(+ (* b 1/2) (log 2))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 1/2 binary64)))
(* b 1/2)
(*.f64 b #s(literal 1/2 binary64))
b
1/2
#s(literal 1/2 binary64)
(log 2)
(log.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (* b b) (+ 1/8 (* (* b b) -1/192)))
(.f64 b (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))
(* b b)
(*.f64 b b)
(+ 1/8 (* (* b b) -1/192))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))
1/8
#s(literal 1/8 binary64)
(* (* b b) -1/192)
(.f64 (.f64 b b) #s(literal -1/192 binary64))
-1/192
#s(literal -1/192 binary64)

localize101.0ms (0.7%)

Memory

-12.3MiB live, 180.9MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 b b) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64))))
✓	accuracy	100.0%	(+.f64 (+.f64 (.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (.f64 b b) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 b b) #s(literal -1/192 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 b b) #s(literal -1/192 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b))
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	99.8%	(*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)))
✓	accuracy	99.8%	(/.f64 (log.f64 #s(literal 2 binary64)) b)
✓	accuracy	100.0%	(+.f64 b #s(literal 2 binary64))
✓	accuracy	100.0%	(log.f64 (+.f64 b #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) b)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))
✓	accuracy	100.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
✓	accuracy	94.7%	(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64)))

Samples

41.0ms	155×	0	valid
24.0ms	101×	0	invalid

Compiler

Compiled 158 to 32 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 14.0ms (29.4% of total)

ival-add: 10.0ms (21% of total)

ival-log: 8.0ms (16.8% of total)

ival-div: 4.0ms (8.4% of total)

ival-exp: 4.0ms (8.4% of total)

const: 4.0ms (8.4% of total)

ival-log1p: 3.0ms (6.3% of total)

exact: 1.0ms (2.1% of total)

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

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

series206.0ms (1.4%)

Memory

11.1MiB live, 287.2MiB allocated

Counts

19 → 252

Calls

Call 1

Inputs
#<alt (exp (* (log (/ (+ 1 (exp a)) b)) -1))>
#<alt (+ (log (+ 1 (exp a))) (exp (* (log (/ (+ 1 (exp a)) b)) -1)))>
#<alt (log (+ 1 (exp a)))>
#<alt (exp a)>
#<alt (* 1/2 b)>
#<alt (log (+ b 2))>
#<alt (+ b 2)>
#<alt (* b (+ 1/2 (/ (log 2) b)))>
#<alt (+ 1/2 (/ (log 2) b))>
#<alt (/ (log 2) b)>
#<alt (log 2)>
#<alt (+ (+ (* b 1/2) (log 2)) (* (* b b) (+ 1/8 (* (* b b) -1/192))))>
#<alt (+ (* b 1/2) (log 2))>
#<alt (* b 1/2)>
#<alt (log (/ (+ 1 (exp a)) b))>
#<alt (+ 1 (exp a))>
#<alt (* (* b b) -1/192)>
#<alt (* (* b b) (+ 1/8 (* (* b b) -1/192)))>
#<alt (+ 1/8 (* (* b b) -1/192))>

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

Calls

63 calls:

Time	Variable		Point	Expression
118.0ms	a	@	inf	(log (/ (+ 1 (exp a)) b))
25.0ms	b	@	-inf	(log (/ (+ 1 (exp a)) b))
18.0ms	a	@	-inf	(log (/ (+ 1 (exp a)) b))
12.0ms	b	@	0	(log (/ (+ 1 (exp a)) b))
9.0ms	b	@	inf	(log (/ (+ 1 (exp a)) b))

rewrite414.0ms (2.7%)

Memory

39.3MiB live, 749.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 640×	`accelerator-lowering-fma.f32`
4 640×	`accelerator-lowering-fma.f64`
4 248×	`/-lowering-/.f32`
4 248×	`/-lowering-/.f64`
3 838×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	122
1	167	118
2	1413	114
0	8587	102

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 701

Calls

Call 1

Inputs
(exp (* (log (/ (+ 1 (exp a)) b)) -1))
(+ (log (+ 1 (exp a))) (exp (* (log (/ (+ 1 (exp a)) b)) -1)))
(log (+ 1 (exp a)))
(exp a)
(* 1/2 b)
(log (+ b 2))
(+ b 2)
(* b (+ 1/2 (/ (log 2) b)))
(+ 1/2 (/ (log 2) b))
(/ (log 2) b)
(log 2)
(+ (+ (* b 1/2) (log 2)) (* (* b b) (+ 1/8 (* (* b b) -1/192))))
(+ (* b 1/2) (log 2))
(* b 1/2)
(log (/ (+ 1 (exp a)) b))
(+ 1 (exp a))
(* (* b b) -1/192)
(* (* b b) (+ 1/8 (* (* b b) -1/192)))
(+ 1/8 (* (* b b) -1/192))

Outputs
(exp.f64 (log.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal 1 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(/.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #s(literal -1 binary64))
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(/.f64 (+.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64)) #s(literal -1/64 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal -1/8 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/192 binary64) (.f64 b b)))) (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/192 binary64) (.f64 b b))) (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64)))) (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/192 binary64) (.f64 b b))) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/192 binary64) (*.f64 b b)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) #s(literal -1/7077888 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) (+.f64 (.f64 (*.f64 b b) #s(literal -1/192 binary64)) #s(literal -1/8 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/192 binary64) (.f64 b b))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64)) #s(literal -1/64 binary64))) (neg.f64 (+.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal -1/8 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/64 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/192 binary64) (.f64 b b)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/192 binary64) (.f64 b b)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1/64 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/192 binary64) (.f64 b b)))) (/.f64 #s(literal 1/64 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/192 binary64) (.f64 b b))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/192 binary64) (.f64 b b)))) (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/192 binary64) (.f64 b b))))) (.f64 (/.f64 #s(literal 1/64 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/192 binary64) (.f64 b b)))) (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/192 binary64) (*.f64 b b))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 b b) #s(literal -1/192 binary64))))
(.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) #s(literal -1/7077888 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal -1/8 binary64))))))
(.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) #s(literal -1/7077888 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal -1/1536 binary64) (*.f64 b b))))))
(.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/192 binary64) (*.f64 b b)))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) #s(literal -1/7077888 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal -1/8 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/192 binary64) (*.f64 b b))))))
(.f64 (+.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/36864 binary64)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (*.f64 b b) #s(literal -1/192 binary64)) #s(literal -1/8 binary64))))

simplify476.0ms (3.1%)

Memory

-7.8MiB live, 695.9MiB allocated

Algorithm

1×	egg-herbie

Rules

20 016×	`accelerator-lowering-fma.f32`
20 016×	`accelerator-lowering-fma.f64`
4 078×	`-lowering-.f32`
4 078×	`-lowering-.f64`
3 458×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	204	1728
1	569	1683
2	1518	1667
3	4511	1661
0	8221	1509

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

eval125.0ms (0.8%)

Memory: 9.5MiB live, 236.0MiB allocated
Compiler: Compiled 29 551 to 2 596 computations (91.2% saved)

prune118.0ms (0.8%)

Memory

17.1MiB live, 215.9MiB allocated

Pruning

24 alts after pruning (17 fresh and 7 done)

	Pruned	Kept	Total
New	992	7	999
Fresh	3	10	13
Picked	1	4	5
Done	0	3	3
Total	996	24	1 020

Accuracy

99.0%

Counts

1 020 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.4%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	53.3%	(+.f64 (+.f64 (.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (.f64 b b) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 b b) #s(literal -1/192 binary64)))))
✓	53.4%	(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	10.9%	(+.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 (.f64 b b) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 b b) #s(literal -1/192 binary64)))))
	56.8%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b)) #s(literal -1 binary64))))
	39.3%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))))
	3.2%	(+.f64 (log.f64 b) (/.f64 #s(literal 2 binary64) b))
✓	53.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))))
	53.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
	53.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))))))
	53.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
	53.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
	3.3%	(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (.f64 b b)))))
	3.3%	(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b))))))
	24.5%	(*.f64 b (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 1/2 binary64)) b))))
✓	53.3%	(*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)))
	4.3%	(.f64 b (.f64 b (.f64 #s(literal -1/192 binary64) (.f64 b b))))
✓	11.2%	(*.f64 #s(literal 1/2 binary64) b)
	53.5%	(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64)))))))
	51.9%	(log1p.f64 (+.f64 #s(literal 1 binary64) a))
	53.5%	(log1p.f64 (exp.f64 b))
✓	54.8%	(log1p.f64 (exp.f64 a))
	52.8%	(log1p.f64 #s(literal 1 binary64))
✓	53.1%	(log.f64 (+.f64 b #s(literal 2 binary64)))

Compiler

Compiled 961 to 417 computations (56.6% saved)

regimes74.0ms (0.5%)

Memory

-29.6MiB live, 97.5MiB allocated

Counts

45 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) b)
(.f64 #s(literal -1/192 binary64) (.f64 b (.f64 b (.f64 b b))))
(.f64 b (.f64 b (.f64 #s(literal -1/192 binary64) (.f64 b b))))
(+.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 (.f64 b b) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 b b) #s(literal -1/192 binary64)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (.f64 b b)))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(log1p.f64 (+.f64 #s(literal 1 binary64) a))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
(+.f64 (log.f64 b) (/.f64 #s(literal 2 binary64) b))
(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
(log.f64 (.f64 (.f64 b b) (*.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))))
(+.f64 (+.f64 (.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (.f64 b b) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 b b) #s(literal -1/192 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 b b) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))) (.f64 (.f64 b b) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))) (-.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 (.f64 b b) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(log1p.f64 (+.f64 (exp.f64 a) b))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
(log1p.f64 (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(log.f64 (+.f64 (exp.f64 a) (+.f64 b (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))) (*.f64 b b)) #s(literal 1 binary64)))))
(log.f64 (.f64 (.f64 b (.f64 b b)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 b b)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) b) (/.f64 (exp.f64 a) (.f64 b (*.f64 b b)))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 b (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 1/2 binary64)) b))))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 b #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 b (*.f64 b b))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))))
(+.f64 (log1p.f64 (exp.f64 (.f64 b #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 b) (expm1.f64 b))))))
(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 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))))))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b)) #s(literal -1 binary64))))
(/.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 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b))))) #s(literal 3 binary64))) (+.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 (.f64 (log.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b))))) (log.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 a b)))))))))

Outputs

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

Calls

6 calls:

14.0ms	(exp.f64 b)
12.0ms	b
12.0ms	a
11.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
10.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes66.0ms (0.4%)

Memory

14.2MiB live, 92.4MiB allocated

Counts

42 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) b)
(.f64 #s(literal -1/192 binary64) (.f64 b (.f64 b (.f64 b b))))
(.f64 b (.f64 b (.f64 #s(literal -1/192 binary64) (.f64 b b))))
(+.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 (.f64 b b) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 b b) #s(literal -1/192 binary64)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (.f64 b b)))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(log1p.f64 (+.f64 #s(literal 1 binary64) a))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
(+.f64 (log.f64 b) (/.f64 #s(literal 2 binary64) b))
(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
(log.f64 (.f64 (.f64 b b) (*.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))))
(+.f64 (+.f64 (.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (.f64 b b) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 b b) #s(literal -1/192 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 b b) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))) (.f64 (.f64 b b) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))) (-.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 (.f64 b b) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(log1p.f64 (+.f64 (exp.f64 a) b))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
(log1p.f64 (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(log.f64 (+.f64 (exp.f64 a) (+.f64 b (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))) (*.f64 b b)) #s(literal 1 binary64)))))
(log.f64 (.f64 (.f64 b (.f64 b b)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 b b)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) b) (/.f64 (exp.f64 a) (.f64 b (*.f64 b b)))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 b (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 1/2 binary64)) b))))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 b #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 b (*.f64 b b))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))))
(+.f64 (log1p.f64 (exp.f64 (.f64 b #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 b) (expm1.f64 b))))))

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

Calls

6 calls:

14.0ms	b
11.0ms	a
10.0ms	(exp.f64 b)
9.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
9.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes55.0ms (0.4%)

Memory

-3.0MiB live, 73.9MiB allocated

Counts

35 → 2

Calls

Call 1

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

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

Calls

6 calls:

11.0ms	b
10.0ms	a
9.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms	(exp.f64 b)
8.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
96.5%	1	`b`
98.8%	2	`(exp.f64 a)`
98.8%	2	`a`
98.1%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.1%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
96.5%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes21.0ms (0.1%)

Memory

0.4MiB live, 33.6MiB allocated

Counts

33 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

9.0ms	a
7.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.5%	2	`a`
98.5%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes31.0ms (0.2%)

Memory

9.9MiB live, 59.8MiB allocated

Counts

29 → 2

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	a
7.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes17.0ms (0.1%)

Memory

28.9MiB live, 28.9MiB allocated

Counts

28 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	a
6.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.3%	2	`a`
98.3%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes35.0ms (0.2%)

Memory

-24.3MiB live, 50.5MiB allocated

Counts

26 → 2

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	b
9.0ms	(exp.f64 a)
7.0ms	a
6.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
65.4%	3	`b`
59.8%	3	`(exp.f64 b)`
98.0%	2	`a`
98.0%	2	`(exp.f64 a)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes13.0ms (0.1%)

Memory

26.0MiB live, 26.0MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

6.0ms	a
5.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes15.0ms (0.1%)

Memory

-14.6MiB live, 22.5MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	(exp.f64 a)
6.0ms	a

Results

Accuracy	Segments	Branch
97.8%	2	`a`
97.8%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes10.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Counts

15 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	a
4.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes26.0ms (0.2%)

Memory

-24.0MiB live, 19.8MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	a
4.0ms	b

Results

Accuracy	Segments	Branch
53.4%	1	`b`
60.5%	2	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
60.4%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
59.8%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
59.5%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory

-24.6MiB live, 13.1MiB allocated

Accuracy

Total -6.9b remaining (-12.2%)

Threshold costs -6.9b (-12.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	a
3.0ms	b

Results

Accuracy	Segments	Branch
11.2%	1	`b`
11.2%	1	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch36.0ms (0.2%)

Memory

-3.6MiB live, 33.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	-7061.608646219945	-0.1572343815876007

Samples

26.0ms	110×	1	valid
3.0ms	8×	2	valid
1.0ms	10×	0	valid

Compiler

Compiled 155 to 123 computations (20.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

adjust: 13.0ms (50.2% of total)

ival-exp: 6.0ms (23.2% of total)

ival-log: 5.0ms (19.3% of total)

ival-add: 1.0ms (3.9% of total)

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

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

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.8545037553980843

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.8545037553980843

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.8545037553980843

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch29.0ms (0.2%)

Memory

6.3MiB live, 44.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-7061.608646219945	-0.1572343815876007

Samples

22.0ms	119×	1	valid
1.0ms	4×	2	valid
0.0ms	5×	0	valid

Compiler

Compiled 131 to 107 computations (18.3% saved)

Precisions

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

ival-exp: 10.0ms (52.2% of total)

ival-log: 7.0ms (36.5% of total)

adjust: 1.0ms (5.2% of total)

ival-add: 1.0ms (5.2% of total)

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

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

bsearch14.0ms (0.1%)

Memory

24.8MiB live, 24.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-7061.608646219945	-0.1572343815876007

Samples

6.0ms	112×	0	valid
2.0ms	16×	1	valid

Compiler

Compiled 235 to 187 computations (20.4% saved)

Precisions

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

ival-exp: 3.0ms (58.9% of total)

ival-log: 2.0ms (39.3% of total)

ival-add: 1.0ms (19.6% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch38.0ms (0.3%)

Memory

-15.5MiB live, 39.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	-7061.608646219945	-0.1572343815876007

Samples

29.0ms	114×	1	valid
2.0ms	6×	2	valid
1.0ms	8×	0	valid

Compiler

Compiled 187 to 155 computations (17.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-log: 18.0ms (64.6% of total)

ival-exp: 7.0ms (25.1% of total)

adjust: 1.0ms (3.6% of total)

ival-add: 1.0ms (3.6% of total)

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

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

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.8545037553980843

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch18.0ms (0.1%)

Memory

-18.0MiB live, 19.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-7061.608646219945	-0.1572343815876007

Samples

11.0ms	116×	0	valid
1.0ms	12×	1	valid

Compiler

Compiled 131 to 115 computations (12.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-log: 6.0ms (62.1% of total)

ival-exp: 2.0ms (20.7% of total)

ival-add: 1.0ms (10.4% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch13.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-7061.608646219945	-0.1572343815876007

Samples

6.0ms	113×	0	valid
2.0ms	15×	1	valid

Compiler

Compiled 115 to 99 computations (13.9% saved)

Precisions

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

ival-exp: 2.0ms (41% of total)

ival-log: 2.0ms (41% of total)

ival-add: 1.0ms (20.5% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch31.0ms (0.2%)

Memory

2.5MiB live, 40.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	-7061.608646219945	-0.1572343815876007

Samples

22.0ms	115×	1	valid
3.0ms	7×	2	valid
0.0ms	6×	0	valid

Compiler

Compiled 115 to 99 computations (13.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-log: 11.0ms (53.5% of total)

ival-exp: 7.0ms (34% of total)

adjust: 1.0ms (4.9% of total)

ival-add: 1.0ms (4.9% of total)

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

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

bsearch30.0ms (0.2%)

Memory

-2.5MiB live, 35.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-7061.608646219945	-0.1572343815876007

Samples

22.0ms	118×	1	valid
1.0ms	3×	2	valid
0.0ms	7×	0	valid

Compiler

Compiled 99 to 91 computations (8.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-log: 11.0ms (55.3% of total)

ival-exp: 7.0ms (35.2% of total)

adjust: 1.0ms (5% of total)

ival-add: 1.0ms (5% of total)

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

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

simplify27.0ms (0.2%)

Memory

-30.1MiB live, 14.2MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`+-commutative_binary64`
28×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	244
1	127	244

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 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))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(if (<=.f64 a #s(literal -36 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 (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (exp.f64 a))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (+.f64 (exp.f64 a) b)))
(if (<=.f64 a #s(literal -380 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 a #s(literal -5/2 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a))))))))
(if (<=.f64 a #s(literal -80 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -3039929748475085/2251799813685248 binary64)) (.f64 #s(literal 1/2 binary64) b) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) b) (log1p.f64 (+.f64 #s(literal 1 binary64) a)))
(if (<=.f64 a #s(literal -160 binary64)) (*.f64 #s(literal 1/2 binary64) b) (log.f64 (+.f64 b #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -145 binary64)) (*.f64 #s(literal 1/2 binary64) b) (log1p.f64 #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) b)

Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 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))))))
(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -36 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 a #s(literal -36 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 (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (exp.f64 a))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (+.f64 (exp.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (+.f64 (exp.f64 a) b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (+.f64 (exp.f64 a) b)))
(if (<=.f64 a #s(literal -380 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 a #s(literal -380 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 a #s(literal -5/2 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a))))))))
(if (<=.f64 a #s(literal -5/2 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a))))))))
(if (<=.f64 a #s(literal -80 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))))
(if (<=.f64 a #s(literal -80 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -3039929748475085/2251799813685248 binary64)) (.f64 #s(literal 1/2 binary64) b) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -3039929748475085/2251799813685248 binary64)) (.f64 b #s(literal 1/2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) b) (log1p.f64 (+.f64 #s(literal 1 binary64) a)))
(if (<=.f64 a #s(literal -1 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log1p.f64 (+.f64 a #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -160 binary64)) (*.f64 #s(literal 1/2 binary64) b) (log.f64 (+.f64 b #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -160 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log.f64 (+.f64 b #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -145 binary64)) (*.f64 #s(literal 1/2 binary64) b) (log1p.f64 #s(literal 1 binary64)))
(if (<=.f64 a #s(literal -145 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) b)
(*.f64 b #s(literal 1/2 binary64))

soundness2.6s (16.9%)

Memory

68.7MiB live, 3 448.6MiB allocated

Rules

18 508×	`accelerator-lowering-fma.f32`
18 508×	`accelerator-lowering-fma.f64`
12 084×	`accelerator-lowering-fma.f32`
12 084×	`accelerator-lowering-fma.f64`
7 034×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	501	4760
1	1593	4590
2	5411	4324
0	8309	3876
0	99	564
1	274	564
2	757	556
3	2515	548
0	8549	500
0	34	193
1	221	193
2	2248	193
0	8762	164
0	327	2751
1	938	2717
2	2972	2682
3	7978	2682
0	8223	2400

Stop Event

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

Compiler

Compiled 691 to 432 computations (37.5% saved)

preprocess85.0ms (0.6%)

Memory: 15.2MiB live, 211.5MiB allocated
Compiler: Compiled 652 to 286 computations (56.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	31	204
1	68	204
2	148	204
3	334	204
4	562	204
5	666	204
6	770	204
7	784	204
8	800	204
0	800	175

Iter	Nodes	Cost
0	31	204
1	68	204
2	148	204
3	334	204
4	562	204
5	666	204
6	770	204
7	784	204
8	800	204
0	800	175

analyze147.0ms (1%)

sample4.6s (30.5%)

preprocess13.0ms (0.1%)

explain146.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0%)

localize53.0ms (0.4%)

series99.0ms (0.7%)

rewrite141.0ms (0.9%)

simplify685.0ms (4.5%)

eval15.0ms (0.1%)

prune21.0ms (0.1%)

simplify77.0ms (0.5%)

localize212.0ms (1.4%)

series445.0ms (2.9%)

rewrite461.0ms (3%)

simplify497.0ms (3.3%)

eval234.0ms (1.5%)

prune155.0ms (1%)

simplify88.0ms (0.6%)

localize207.0ms (1.4%)

series141.0ms (0.9%)

rewrite451.0ms (3%)

simplify689.0ms (4.5%)

eval144.0ms (1%)

prune86.0ms (0.6%)

simplify596.0ms (3.9%)

localize101.0ms (0.7%)

series206.0ms (1.4%)

rewrite414.0ms (2.7%)

simplify476.0ms (3.1%)

eval125.0ms (0.8%)

prune118.0ms (0.8%)

regimes74.0ms (0.5%)

regimes66.0ms (0.4%)

regimes55.0ms (0.4%)

regimes21.0ms (0.1%)

regimes31.0ms (0.2%)

regimes17.0ms (0.1%)

regimes35.0ms (0.2%)

regimes13.0ms (0.1%)

regimes15.0ms (0.1%)

regimes10.0ms (0.1%)

regimes26.0ms (0.2%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes14.0ms (0.1%)

bsearch36.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch29.0ms (0.2%)

bsearch14.0ms (0.1%)

bsearch38.0ms (0.3%)

bsearch0.0ms (0%)

bsearch18.0ms (0.1%)

bsearch13.0ms (0.1%)

bsearch31.0ms (0.2%)

bsearch30.0ms (0.2%)

simplify27.0ms (0.2%)

soundness2.6s (16.9%)

preprocess85.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	31	204
1	68	204
2	148	204
3	334	204
4	562	204
5	666	204
6	770	204
7	784	204
8	800	204
0	800	175