Metrics for symmetry log of sum of exp

analyze185.0ms (1.4%)

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 9 to 7 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-exp: 27.0ms (41.9% of total)

ival-log: 24.0ms (37.2% of total)

ival-add: 12.0ms (18.6% of total)

const: 1.0ms (1.6% of total)

backward-pass: 1.0ms (1.6% of total)

sample5.5s (40.8%)

Results

2.6s	8006×	5	exit
952.0ms	1707×	2	valid
764.0ms	2197×	1	valid
307.0ms	4352×	0	valid

Precisions

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

ival-exp: 1.1s (37% of total)

ival-log: 883.0ms (30.3% of total)

backward-pass: 707.0ms (24.2% of total)

ival-add: 229.0ms (7.8% of total)

const: 18.0ms (0.6% of total)

Bogosity

preprocess21.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

40×	`fma-define`
32×	`sum3-define`
24×	`sub-neg`
22×	`+-commutative`
16×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	24
1	37	24
2	55	24
3	64	24
4	93	24
5	112	24
6	131	24
7	155	24
8	162	24
0	6	3
1	8	3
2	9	3
0	9	3

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

Symmetry

(sort a b)

explain156.0ms (1.2%)

FPErrors

Click to see full error table

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

Results

58.0ms	88×	2	valid
45.0ms	148×	1	valid
24.0ms	276×	0	valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-log: 33.0ms (43.9% of total)

ival-exp: 22.0ms (29.3% of total)

backward-pass: 15.0ms (19.9% of total)

ival-add: 5.0ms (6.6% of total)

const: 1.0ms (1.3% of total)

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.9%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0%)

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×	`logaddexp-define`
4×	`+-lowering-+.f32`
4×	`exp-lowering-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	8	14
2	9	14
0	9	14

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

localize68.0ms (0.5%)

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	54.9%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

24.0ms	44×	2	valid
22.0ms	74×	1	valid
12.0ms	138×	0	valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

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

ival-log: 16.0ms (45.9% of total)

ival-exp: 12.0ms (34.4% of total)

ival-add: 3.0ms (8.6% of total)

backward-pass: 3.0ms (8.6% of total)

const: 0.0ms (0% of total)

series85.0ms (0.6%)

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
30.0ms	a	@	inf	(log (+ (exp a) (exp b)))
23.0ms	a	@	-inf	(log (+ (exp a) (exp b)))
15.0ms	b	@	-inf	(log (+ (exp a) (exp b)))
14.0ms	b	@	inf	(log (+ (exp a) (exp b)))
1.0ms	a	@	0	(log (+ (exp a) (exp b)))

rewrite342.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2558×	`/-lowering-/.f32`
2558×	`/-lowering-/.f64`
2380×	`-lowering-.f32`
2380×	`-lowering-.f64`
2228×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	21	12
2	164	12
3	1625	12
0	9053	12

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 197

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 a) (exp.f64 b))) (log.f64 (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))))
(+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (log.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
(+.f64 (log.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) (log.f64 (.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))))
(+.f64 (log.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) (log.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
(+.f64 (log.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.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 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (log.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (.f64 a #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a)))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))) (log.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))))
(+.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) #s(literal 3 binary64))))) (log.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (-.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 2 binary64))))))))
(+.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) #s(literal 2 binary64))))) (log.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(+.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))) (-.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 2 binary64))) (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(-.f64 (log.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (log.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(-.f64 (log.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (log.f64 (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64))))) (log.f64 (.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))))))
(-.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 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))))) (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 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (.f64 a #s(literal 2 binary64)))))))
(-.f64 (log.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (.f64 a #s(literal 2 binary64))))) (log.f64 (-.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 (log.f64 (+.f64 (exp.f64 (.f64 a #s(literal 9 binary64))) (exp.f64 (.f64 b #s(literal 9 binary64))))) (log.f64 (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 6 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 3 binary64))))))))
(-.f64 (log.f64 (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64))))) (log.f64 (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (-.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(-.f64 (log.f64 (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64))))) (log.f64 (.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (.f64 b #s(literal 4 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64))))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))))
(-.f64 (log.f64 (-.f64 (.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) (.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (.f64 b #s(literal 2 binary64)))))) (log.f64 (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2 binary64))))
(-.f64 (log.f64 (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 9 binary64))) (exp.f64 (.f64 b #s(literal 9 binary64)))) #s(literal 1 binary64))) (log.f64 (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 6 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 3 binary64))))) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
(-.f64 (log.f64 (.f64 (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64)))) #s(literal 1 binary64))) (log.f64 (.f64 (-.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
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(/.f64 (neg.f64 (-.f64 (/.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 (exp.f64 (.f64 b #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (neg.f64 (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(/.f64 (neg.f64 (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 9 binary64))) (exp.f64 (.f64 b #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))) (neg.f64 (+.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 6 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))) (neg.f64 (-.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) (neg.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (.f64 b #s(literal 4 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) (neg.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))))
(/.f64 (+.f64 (/.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 3 binary64))) (pow.f64 (neg.f64 (/.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (/.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (/.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))))) (.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64))
(.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b))))
(.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
(.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (/.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 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (/.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 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (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 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64)))
(.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a))))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (+.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 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (-.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (exp.f64 (.f64 a #s(literal 2 binary64)))))))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) #s(literal 2 binary64)))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))) (-.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))
(.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (.f64 a #s(literal 9 binary64))) (exp.f64 (.f64 b #s(literal 9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 6 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 3 binary64)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (.f64 b #s(literal 4 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64)))))))
(.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))))
(exp.f64 a)
(exp.f64 (*.f64 a #s(literal 1 binary64)))
(pow.f64 (exp.f64 a) #s(literal 1 binary64))
(exp.f64 b)
(exp.f64 (*.f64 b #s(literal 1 binary64)))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))

simplify240.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

4588×	`+-lowering-+.f64`
4588×	`+-lowering-+.f32`
4452×	`-lowering-.f32`
4452×	`-lowering-.f64`
1764×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	480
1	291	446
2	963	442
3	3348	440
0	8044	440

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 a (/.f64 #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 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 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 b (/.f64 #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 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 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 (+.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 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)

eval53.0ms (0.4%)

Compiler: Compiled 8055 to 856 computations (89.4% saved)

prune56.0ms (0.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	261	8	269
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	261	9	270

Accuracy

99.4%

Counts

270 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
▶	54.9%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
	49.9%	(log1p.f64 (exp.f64 b))
▶	50.9%	(log1p.f64 (exp.f64 a))
	52.9%	(log.f64 (+.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))))))))
▶	52.6%	(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)))))))
	52.2%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	54.9%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶	49.8%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))

Compiler

Compiled 174 to 132 computations (24.1% saved)

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

206×	`fma-define`
196×	`fma-lowering-fma.f32`
196×	`fma-lowering-fma.f64`
130×	`sum3-define`
124×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	133
1	49	117
2	99	113
3	204	113
4	346	113
5	417	113
6	428	113
0	428	113

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize398.0ms (3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
✓	accuracy	55.3%	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
✓	accuracy	57.2%	(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)))))))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	accuracy	98.4%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))

Results

304.0ms	127×	2	valid
48.0ms	126×	0	valid
2.0ms	1×	5	exit
2.0ms	2×	1	valid

Compiler

Compiled 141 to 23 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 279.0ms

ival-log: 114.0ms (40.9% of total)

ival-add: 68.0ms (24.4% of total)

compiled-spec: 38.0ms (13.6% of total)

backward-pass: 24.0ms (8.6% of total)

ival-exp: 16.0ms (5.7% of total)

ival-div: 8.0ms (2.9% of total)

ival-mult: 7.0ms (2.5% of total)

ival-neg: 3.0ms (1.1% of total)

const: 1.0ms (0.4% of total)

series298.0ms (2.2%)

Counts

16 → 288

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
63.0ms	a	@	inf	(log (+ (exp a) (+ 1 (* b (+ 1 (* b 1/2))))))
49.0ms	a	@	inf	(neg (log (/ 1 (+ (exp a) (exp b)))))
34.0ms	a	@	inf	(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
21.0ms	b	@	-inf	(log (+ 1 (exp b)))
18.0ms	a	@	-inf	(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))

rewrite392.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3712×	`/-lowering-/.f32`
3712×	`/-lowering-/.f64`
3228×	`-lowering-.f32`
3228×	`-lowering-.f64`
2308×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	101
1	140	86
2	1344	80
0	8515	80

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 560

Calls

Call 1

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

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

simplify257.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

3674×	`+-lowering-+.f64`
3674×	`+-lowering-+.f32`
2738×	`-lowering-.f32`
2738×	`-lowering-.f64`
2096×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	393	3105
1	1238	2690
2	4303	2640
0	9234	2640

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

eval122.0ms (0.9%)

Compiler: Compiled 22456 to 2775 computations (87.6% saved)

prune96.0ms (0.7%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	937	14	951
Fresh	2	1	3
Picked	4	1	5
Done	1	0	1
Total	944	16	960

Accuracy

99.4%

Counts

960 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.9%	(/.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))))
	52.2%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
	60.8%	(+.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))))
	49.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 b b)))))))
	49.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
▶	48.4%	(+.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)))))))
▶	48.7%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
	49.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
▶	48.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
▶	98.4%	(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (log1p.f64 (exp.f64 a)) b)))
	46.9%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
	47.4%	(log1p.f64 (+.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))))))))
	49.9%	(log1p.f64 (exp.f64 b))
✓	50.9%	(log1p.f64 (exp.f64 a))
▶	48.8%	(log1p.f64 #s(literal 1 binary64))
	49.0%	(log.f64 (+.f64 #s(literal 2 binary64) b))

Compiler

Compiled 365 to 274 computations (24.9% saved)

simplify302.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 a a)))))
✓	cost-diff	0	(.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))))))
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	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)))))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))
✓	cost-diff	0	(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) a)
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
✓	cost-diff	0	(log1p.f64 #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (log1p.f64 (exp.f64 a)) b))
✓	cost-diff	256	(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (log1p.f64 (exp.f64 a)) b)))

Rules

5438×	`-lowering-.f32`
5438×	`-lowering-.f64`
2520×	`/-lowering-/.f32`
2520×	`/-lowering-/.f64`
2292×	`cube-prod`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	158
1	72	144
2	166	144
3	285	142
4	455	141
5	586	141
6	667	141
7	881	141
8	1384	141
9	2720	141
10	3083	141
11	3586	141
12	4287	141
13	5076	141
14	5473	141
15	5743	141
16	5998	141
17	6221	141
18	6489	141
19	7758	141
0	8063	141

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize438.0ms (3.3%)

Localize:

Found 16 expressions of interest:

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

Results

165.0ms	48×	5	exit
163.0ms	80×	3	valid
54.0ms	128×	0	valid

Compiler

Compiled 171 to 30 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 243.0ms

compiled-spec: 64.0ms (26.3% of total)

backward-pass: 50.0ms (20.5% of total)

ival-log: 46.0ms (18.9% of total)

ival-add: 29.0ms (11.9% of total)

ival-mult: 23.0ms (9.4% of total)

ival-div: 14.0ms (5.8% of total)

...c/correct-round.rkt:119:19: 10.0ms (4.1% of total)

ival-exp: 6.0ms (2.5% of total)

const: 2.0ms (0.8% of total)

series39.0ms (0.3%)

Counts

18 → 228

Calls

Call 1

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

Outputs
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))>
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))>
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))>
#<alt (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))>
#<alt (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ 1/2 (/ (log 2) b)))>
#<alt (+ (* a (* b (- (* 1/2 (/ 1 b)) 1/4))) (* b (+ 1/2 (/ (log 2) b))))>
#<alt (+ (* a (+ (* 1/8 a) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))>
#<alt (+ (* a (+ (* a (+ 1/8 (* 1/48 (* a b)))) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) 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 (+ 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 (+ 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 (+ 1/2 (/ (log 2) b))>
#<alt (+ 1/2 (+ (* a (- (* 1/2 (/ 1 b)) 1/4)) (/ (log 2) b)))>
#<alt (+ 1/2 (+ (* a (- (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) (/ (log 2) b)))>
#<alt (+ 1/2 (+ (* a (- (+ (* 1/2 (/ 1 b)) (* a (+ (* 1/48 a) (* 1/8 (/ 1 b))))) 1/4)) (/ (log 2) b)))>
#<alt (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))>
#<alt (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))>
#<alt (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))>
#<alt (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))>
#<alt (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))>
#<alt (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))>
#<alt (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))>
#<alt (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))>
#<alt (/ (log (+ 1 (exp a))) b)>
#<alt (/ (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) b)>
#<alt (/ (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) b)>
#<alt (/ (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) b)>
#<alt (/ 1 (+ 1 (exp a)))>
#<alt (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))>
#<alt (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))>
#<alt (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))>
#<alt (/ 1 (+ 1 (exp a)))>
#<alt (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))>
#<alt (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))>
#<alt (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 a))>
#<alt (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))>
#<alt (+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))>
#<alt (/ 1 (+ 1 (exp a)))>
#<alt (/ 1 (+ 1 (exp a)))>
#<alt (/ 1 (+ 1 (exp a)))>
#<alt (/ 1 (+ 1 (exp a)))>
#<alt (/ 1 (+ 1 (exp a)))>
#<alt (/ 1 (+ 1 (exp a)))>
#<alt (/ 1 (+ 1 (exp a)))>
#<alt (/ 1 (+ 1 (exp a)))>
#<alt 2>
#<alt (+ 2 a)>
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (/ (log 2) a)))>
#<alt (* a (+ 1/2 (/ (log 2) a)))>
#<alt (* a (+ 1/2 (/ (log 2) a)))>
#<alt (* 1/2 a)>
#<alt (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))>
#<alt (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))>
#<alt (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (+ (log 2) (* a (+ 1/2 (* 1/8 a))))>
#<alt (+ (log 2) (* a (+ 1/2 (* 1/8 a))))>
#<alt (* 1/8 (pow a 2))>
#<alt (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2)))))>
#<alt (* 1/8 (pow a 2))>
#<alt (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))>
#<alt (* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (* 1/8 a)))>
#<alt (* a (+ 1/2 (* 1/8 a)))>
#<alt (* a (+ 1/2 (* 1/8 a)))>
#<alt (* 1/8 (pow a 2))>
#<alt (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt (* 1/8 (pow a 2))>
#<alt (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 a))>
#<alt (+ 1/2 (* 1/8 a))>
#<alt (+ 1/2 (* 1/8 a))>
#<alt (* 1/8 a)>
#<alt (* a (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt (* 1/8 a)>
#<alt (* a (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (+ (log 2) (* a (+ 1/2 (* 1/8 a))))>
#<alt (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))>
#<alt (* -1/192 (pow a 4))>
#<alt (* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))>
#<alt (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))>
#<alt (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192))>
#<alt (* -1/192 (pow a 4))>
#<alt (* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))>
#<alt (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))>
#<alt (* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (* 1/8 a)))>
#<alt (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))>
#<alt (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))>
#<alt (* -1/192 (pow a 4))>
#<alt (* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))>
#<alt (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))>
#<alt (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))>
#<alt (* -1/192 (pow a 4))>
#<alt (* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))>
#<alt (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))>
#<alt (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 a))>
#<alt (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))>
#<alt (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))>
#<alt (* -1/192 (pow a 3))>
#<alt (* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))>
#<alt (* -1/192 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt (/ (log 2) b)>
#<alt (+ (* 1/2 (/ a b)) (/ (log 2) b))>
#<alt (+ (* a (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b)))) (/ (log 2) b))>
#<alt (+ (* a (+ (* a (+ (* -1/192 (/ (pow a 2) b)) (* 1/8 (/ 1 b)))) (* 1/2 (/ 1 b)))) (/ (log 2) 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))) 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))) 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 (* 1/8 a)>
#<alt (* 1/8 a)>
#<alt (* 1/8 a)>
#<alt (* 1/8 a)>
#<alt (* 1/8 a)>
#<alt (* 1/8 a)>
#<alt (* 1/8 a)>
#<alt (* 1/8 a)>
#<alt (* 1/8 a)>
#<alt (* 1/8 a)>
#<alt (* 1/8 a)>
#<alt (* 1/8 a)>
#<alt (* -1/192 (pow a 2))>
#<alt (* -1/192 (pow a 2))>
#<alt (* -1/192 (pow a 2))>
#<alt (* -1/192 (pow a 2))>
#<alt (* -1/192 (pow a 2))>
#<alt (* -1/192 (pow a 2))>
#<alt (* -1/192 (pow a 2))>
#<alt (* -1/192 (pow a 2))>
#<alt (* -1/192 (pow a 2))>
#<alt (* -1/192 (pow a 2))>
#<alt (* -1/192 (pow a 2))>
#<alt (* -1/192 (pow a 2))>
#<alt (* 1/8 a)>
#<alt (* a (+ 1/8 (* -1/192 (pow a 2))))>
#<alt (* a (+ 1/8 (* -1/192 (pow a 2))))>
#<alt (* a (+ 1/8 (* -1/192 (pow a 2))))>
#<alt (* -1/192 (pow a 3))>
#<alt (* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))>
#<alt (* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))>
#<alt (* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))>
#<alt (* -1/192 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))>

Calls

57 calls:

Time	Variable		Point	Expression
12.0ms	b	@	inf	(/ (log (+ 1 (exp a))) b)
10.0ms	b	@	0	(/ (log (+ 1 (exp a))) b)
3.0ms	a	@	0	(+ (log 2) (* 1/2 a))
2.0ms	b	@	0	(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
1.0ms	a	@	inf	(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))

rewrite298.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3712×	`-lowering-.f32`
3712×	`-lowering-.f64`
2530×	`/-lowering-/.f32`
2530×	`/-lowering-/.f64`
2080×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	125
1	187	112
2	1888	110
0	8290	110

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 353

Calls

Call 1

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

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

simplify497.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

3120×	`-lowering-.f32`
3120×	`-lowering-.f64`
1570×	`+-lowering-+.f64`
1570×	`+-lowering-+.f32`
1464×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	168	1796
1	515	1660
2	1613	1628
3	5127	1581
0	8480	1581

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(/ b (+ 1 (exp a)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* b (+ 1/2 (/ (log 2) b)))
(+ (* a (* b (- (* 1/2 (/ 1 b)) 1/4))) (* b (+ 1/2 (/ (log 2) b))))
(+ (* a (+ (* 1/8 a) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))
(+ (* a (+ (* a (+ 1/8 (* 1/48 (* a b)))) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))
(* 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 (+ 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 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(+ 1/2 (/ (log 2) b))
(+ 1/2 (+ (* a (- (* 1/2 (/ 1 b)) 1/4)) (/ (log 2) b)))
(+ 1/2 (+ (* a (- (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) (/ (log 2) b)))
(+ 1/2 (+ (* a (- (+ (* 1/2 (/ 1 b)) (* a (+ (* 1/48 a) (* 1/8 (/ 1 b))))) 1/4)) (/ (log 2) b)))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
(/ (log (+ 1 (exp a))) b)
(/ (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) b)
(/ (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) b)
(/ (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) b)
(/ 1 (+ 1 (exp a)))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
(/ 1 (+ 1 (exp a)))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
1/2
(+ 1/2 (* -1/4 a))
(+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))
(+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))
(/ 1 (+ 1 (exp a)))
(/ 1 (+ 1 (exp a)))
(/ 1 (+ 1 (exp a)))
(/ 1 (+ 1 (exp a)))
(/ 1 (+ 1 (exp a)))
(/ 1 (+ 1 (exp a)))
(/ 1 (+ 1 (exp a)))
(/ 1 (+ 1 (exp a)))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* 1/2 a))
(+ (log 2) (* 1/2 a))
(* 1/2 a)
(* a (+ 1/2 (/ (log 2) a)))
(* a (+ 1/2 (/ (log 2) a)))
(* a (+ 1/2 (/ (log 2) a)))
(* 1/2 a)
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(* 1/8 (pow a 2))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2)))))
(* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2)))))
(* 1/8 (pow a 2))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))
(* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))
(* 1/2 a)
(* a (+ 1/2 (* 1/8 a)))
(* a (+ 1/2 (* 1/8 a)))
(* a (+ 1/2 (* 1/8 a)))
(* 1/8 (pow a 2))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(* 1/8 (pow a 2))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
1/2
(+ 1/2 (* 1/8 a))
(+ 1/2 (* 1/8 a))
(+ 1/2 (* 1/8 a))
(* 1/8 a)
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(* 1/8 a)
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(* -1/192 (pow a 4))
(* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192))
(* -1/192 (pow a 4))
(* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* 1/2 a)
(* a (+ 1/2 (* 1/8 a)))
(* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))
(* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))
(* -1/192 (pow a 4))
(* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* -1/192 (pow a 4))
(* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
1/2
(+ 1/2 (* 1/8 a))
(+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))
(+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))
(* -1/192 (pow a 3))
(* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* -1/192 (pow a 3))
(* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))
(/ (log 2) b)
(+ (* 1/2 (/ a b)) (/ (log 2) b))
(+ (* a (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b)))) (/ (log 2) b))
(+ (* a (+ (* a (+ (* -1/192 (/ (pow a 2) b)) (* 1/8 (/ 1 b)))) (* 1/2 (/ 1 b)))) (/ (log 2) 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))) 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))) b)
(/ (log (+ 1 (exp a))) b)
(/ (log (+ 1 (exp a))) b)
(/ (log (+ 1 (exp a))) b)
(/ (log (+ 1 (exp a))) b)
(* 1/8 a)
(* 1/8 a)
(* 1/8 a)
(* 1/8 a)
(* 1/8 a)
(* 1/8 a)
(* 1/8 a)
(* 1/8 a)
(* 1/8 a)
(* 1/8 a)
(* 1/8 a)
(* 1/8 a)
(* -1/192 (pow a 2))
(* -1/192 (pow a 2))
(* -1/192 (pow a 2))
(* -1/192 (pow a 2))
(* -1/192 (pow a 2))
(* -1/192 (pow a 2))
(* -1/192 (pow a 2))
(* -1/192 (pow a 2))
(* -1/192 (pow a 2))
(* -1/192 (pow a 2))
(* -1/192 (pow a 2))
(* -1/192 (pow a 2))
(* 1/8 a)
(* a (+ 1/8 (* -1/192 (pow a 2))))
(* a (+ 1/8 (* -1/192 (pow a 2))))
(* a (+ 1/8 (* -1/192 (pow a 2))))
(* -1/192 (pow a 3))
(* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* -1/192 (pow a 3))
(* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))

Outputs
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64)))
(* b (+ 1/2 (/ (log 2) b)))
(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (* a (* b (- (* 1/2 (/ 1 b)) 1/4))) (* b (+ 1/2 (/ (log 2) b))))
(+.f64 (+.f64 (.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))))
(+ (* a (+ (* 1/8 a) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))
(+.f64 (+.f64 (.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 a (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/4 binary64))) (.f64 a #s(literal 1/8 binary64)))))
(+ (* a (+ (* a (+ 1/8 (* 1/48 (* a b)))) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))
(+.f64 (+.f64 (.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 a (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 b #s(literal -1/4 binary64)) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/48 binary64) (.f64 a b))))))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64)))
(+ 1/2 (/ (log 2) b))
(+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b))
(+ 1/2 (+ (* a (- (* 1/2 (/ 1 b)) 1/4)) (/ (log 2) b)))
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal -1/4 binary64)))))
(+ 1/2 (+ (* a (- (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) (/ (log 2) b)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) (.f64 a (+.f64 (.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))) #s(literal -1/4 binary64))))
(+ 1/2 (+ (* a (- (+ (* 1/2 (/ 1 b)) (* a (+ (* 1/48 a) (* 1/8 (/ 1 b))))) 1/4)) (/ (log 2) b)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) (.f64 a (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal -1/4 binary64)) (.f64 a (+.f64 (*.f64 a #s(literal 1/48 binary64)) (/.f64 #s(literal 1/8 binary64) b))))))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (log1p.f64 (exp.f64 a)) b))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (log1p.f64 (exp.f64 a)) b))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (log1p.f64 (exp.f64 a)) b))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (log1p.f64 (exp.f64 a)) b))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (log1p.f64 (exp.f64 a)) b))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (log1p.f64 (exp.f64 a)) b))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (log1p.f64 (exp.f64 a)) b))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (log1p.f64 (exp.f64 a)) b))
(/ (log (+ 1 (exp a))) b)
(/.f64 (log1p.f64 (exp.f64 a)) b)
(/ (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) b)
(/.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b)
(/ (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) b)
(/.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b)
(/ (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) b)
(/.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b)
(/ 1 (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (log1p.f64 (exp.f64 a)) b))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (log1p.f64 (exp.f64 a)) b))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (log1p.f64 (exp.f64 a)) b))
(/ 1 (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (log1p.f64 (exp.f64 a)) b))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (log1p.f64 (exp.f64 a)) b))
(+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (log1p.f64 (exp.f64 a)) b))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/4 binary64)))
(+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal -1/4 binary64) (.f64 a (*.f64 a #s(literal 1/48 binary64))))))
(+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 1/48 binary64) (.f64 a (*.f64 a #s(literal -1/480 binary64))))))))
(/ 1 (+ 1 (exp a)))
(/.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 (+ 1 (exp a)))
(/.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 (+ 1 (exp a)))
(/.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 (+ 1 (exp a)))
(/.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)))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 a #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 2 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))))
(+ 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))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
(+ (log 2) (* 1/2 a))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
(+ (log 2) (* 1/2 a))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* a (+ 1/2 (/ (log 2) a)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
(* a (+ 1/2 (/ (log 2) a)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
(* a (+ 1/2 (/ (log 2) a)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))) (log.f64 #s(literal 2 binary64)))
(* 1/8 (pow a 2))
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
(* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2)))))
(+.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))) (log.f64 #s(literal 2 binary64)))
(* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2)))))
(+.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))) (log.f64 #s(literal 2 binary64)))
(* 1/8 (pow a 2))
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
(* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))
(+.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))) (log.f64 #s(literal 2 binary64)))
(* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))
(+.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))) (log.f64 #s(literal 2 binary64)))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* a (+ 1/2 (* 1/8 a)))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
(* a (+ 1/2 (* 1/8 a)))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
(* a (+ 1/2 (* 1/8 a)))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
(* 1/8 (pow a 2))
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
(* 1/8 (pow a 2))
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))
(+ 1/2 (* 1/8 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))
(+ 1/2 (* 1/8 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(+.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a a) #s(literal -1/192 binary64)))))) (log.f64 #s(literal 2 binary64)))
(* -1/192 (pow a 4))
(.f64 #s(literal -1/192 binary64) (.f64 a (.f64 a (.f64 a a))))
(* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) (.f64 a (*.f64 a a)))))
(* -1/192 (pow a 4))
(.f64 #s(literal -1/192 binary64) (.f64 a (.f64 a (.f64 a a))))
(* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))))
(* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) (.f64 a (*.f64 a a)))))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* a (+ 1/2 (* 1/8 a)))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
(* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a a) #s(literal -1/192 binary64))))))
(* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a a) #s(literal -1/192 binary64))))))
(* -1/192 (pow a 4))
(.f64 #s(literal -1/192 binary64) (.f64 a (.f64 a (.f64 a a))))
(* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))))
(* -1/192 (pow a 4))
(.f64 #s(literal -1/192 binary64) (.f64 a (.f64 a (.f64 a a))))
(* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))
(+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 a a) #s(literal -1/192 binary64)))))
(+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 a a) #s(literal -1/192 binary64)))))
(* -1/192 (pow a 3))
(.f64 a (.f64 (*.f64 a a) #s(literal -1/192 binary64)))
(* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(.f64 (.f64 a a) (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(.f64 (.f64 a (.f64 a a)) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a a)))))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(.f64 (.f64 a (.f64 a a)) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a a)))))
(* -1/192 (pow a 3))
(.f64 a (.f64 (*.f64 a a) #s(literal -1/192 binary64)))
(* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))
(.f64 (.f64 a a) (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))))
(* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 a a) (+.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) (*.f64 a #s(literal 1/192 binary64)))))
(* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 a a) (+.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) (*.f64 a #s(literal 1/192 binary64)))))
(/ (log 2) b)
(/.f64 (log.f64 #s(literal 2 binary64)) b)
(+ (* 1/2 (/ a b)) (/ (log 2) b))
(+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))
(+ (* a (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b)))) (/ (log 2) b))
(+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) (.f64 (/.f64 a b) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
(+ (* a (+ (* a (+ (* -1/192 (/ (pow a 2) b)) (* 1/8 (/ 1 b)))) (* 1/2 (/ 1 b)))) (/ (log 2) b))
(+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) (.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) b) (.f64 a (+.f64 (/.f64 #s(literal 1/8 binary64) b) (/.f64 (.f64 (.f64 a a) #s(literal -1/192 binary64)) b))))))
(/ (log (+ 1 (exp a))) b)
(/.f64 (log1p.f64 (exp.f64 a)) b)
(/ (log (+ 1 (exp a))) b)
(/.f64 (log1p.f64 (exp.f64 a)) b)
(/ (log (+ 1 (exp a))) b)
(/.f64 (log1p.f64 (exp.f64 a)) b)
(/ (log (+ 1 (exp a))) b)
(/.f64 (log1p.f64 (exp.f64 a)) b)
(/ (log (+ 1 (exp a))) b)
(/.f64 (log1p.f64 (exp.f64 a)) b)
(/ (log (+ 1 (exp a))) b)
(/.f64 (log1p.f64 (exp.f64 a)) b)
(/ (log (+ 1 (exp a))) b)
(/.f64 (log1p.f64 (exp.f64 a)) b)
(/ (log (+ 1 (exp a))) b)
(/.f64 (log1p.f64 (exp.f64 a)) b)
(/ (log (+ 1 (exp a))) b)
(/.f64 (log1p.f64 (exp.f64 a)) b)
(/ (log (+ 1 (exp a))) b)
(/.f64 (log1p.f64 (exp.f64 a)) b)
(/ (log (+ 1 (exp a))) b)
(/.f64 (log1p.f64 (exp.f64 a)) b)
(/ (log (+ 1 (exp a))) b)
(/.f64 (log1p.f64 (exp.f64 a)) b)
(/ (log (+ 1 (exp a))) b)
(/.f64 (log1p.f64 (exp.f64 a)) b)
(/ (log (+ 1 (exp a))) b)
(/.f64 (log1p.f64 (exp.f64 a)) b)
(/ (log (+ 1 (exp a))) b)
(/.f64 (log1p.f64 (exp.f64 a)) b)
(/ (log (+ 1 (exp a))) b)
(/.f64 (log1p.f64 (exp.f64 a)) b)
(/ (log (+ 1 (exp a))) b)
(/.f64 (log1p.f64 (exp.f64 a)) b)
(/ (log (+ 1 (exp a))) b)
(/.f64 (log1p.f64 (exp.f64 a)) b)
(/ (log (+ 1 (exp a))) b)
(/.f64 (log1p.f64 (exp.f64 a)) b)
(/ (log (+ 1 (exp a))) b)
(/.f64 (log1p.f64 (exp.f64 a)) b)
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* -1/192 (pow a 2))
(.f64 (.f64 a a) #s(literal -1/192 binary64))
(* -1/192 (pow a 2))
(.f64 (.f64 a a) #s(literal -1/192 binary64))
(* -1/192 (pow a 2))
(.f64 (.f64 a a) #s(literal -1/192 binary64))
(* -1/192 (pow a 2))
(.f64 (.f64 a a) #s(literal -1/192 binary64))
(* -1/192 (pow a 2))
(.f64 (.f64 a a) #s(literal -1/192 binary64))
(* -1/192 (pow a 2))
(.f64 (.f64 a a) #s(literal -1/192 binary64))
(* -1/192 (pow a 2))
(.f64 (.f64 a a) #s(literal -1/192 binary64))
(* -1/192 (pow a 2))
(.f64 (.f64 a a) #s(literal -1/192 binary64))
(* -1/192 (pow a 2))
(.f64 (.f64 a a) #s(literal -1/192 binary64))
(* -1/192 (pow a 2))
(.f64 (.f64 a a) #s(literal -1/192 binary64))
(* -1/192 (pow a 2))
(.f64 (.f64 a a) #s(literal -1/192 binary64))
(* -1/192 (pow a 2))
(.f64 (.f64 a a) #s(literal -1/192 binary64))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* a (+ 1/8 (* -1/192 (pow a 2))))
(.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 a a) #s(literal -1/192 binary64))))
(* a (+ 1/8 (* -1/192 (pow a 2))))
(.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 a a) #s(literal -1/192 binary64))))
(* a (+ 1/8 (* -1/192 (pow a 2))))
(.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 a a) #s(literal -1/192 binary64))))
(* -1/192 (pow a 3))
(.f64 a (.f64 (*.f64 a a) #s(literal -1/192 binary64)))
(* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(.f64 (.f64 a a) (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))))
(* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(.f64 (.f64 a a) (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))))
(* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(.f64 (.f64 a a) (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))))
(* -1/192 (pow a 3))
(.f64 a (.f64 (*.f64 a a) #s(literal -1/192 binary64)))
(* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))
(.f64 (.f64 a a) (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))))
(* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))
(.f64 (.f64 a a) (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))))
(* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))
(.f64 (.f64 a a) (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))))

eval69.0ms (0.5%)

Compiler: Compiled 12310 to 1407 computations (88.6% saved)

prune63.0ms (0.5%)

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	573	10	583
Fresh	2	8	10
Picked	1	4	5
Done	0	1	1
Total	576	23	599

Accuracy

99.4%

Counts

599 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.0%	(/.f64 (+.f64 (.f64 (.f64 (log1p.f64 (exp.f64 a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b b)) (.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
▶	52.2%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
	48.4%	(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a #s(literal 1/2 binary64))) (.f64 a (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 a a))))))
	49.3%	(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	60.8%	(+.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))))
	48.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/512 binary64) (.f64 a (.f64 a a)))) a) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a #s(literal 1/8 binary64)) (-.f64 (*.f64 a #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
▶	49.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 b b)))))))
	49.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
✓	48.4%	(+.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)))))))
✓	48.7%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
✓	48.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
▶	1.2%	(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))))
	2.2%	(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))
	49.3%	(*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)))
	2.5%	(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
	3.4%	(.f64 a (.f64 a #s(literal 1/8 binary64)))
▶	2.5%	(*.f64 a #s(literal 1/2 binary64))
	46.9%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
	47.4%	(log1p.f64 (+.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))))))))
	49.9%	(log1p.f64 (exp.f64 b))
✓	50.9%	(log1p.f64 (exp.f64 a))
✓	48.8%	(log1p.f64 #s(literal 1 binary64))
	49.0%	(log.f64 (+.f64 #s(literal 2 binary64) b))

Compiler

Compiled 525 to 375 computations (28.6% saved)

simplify206.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 b b)))))
✓	cost-diff	0	(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 b b))))))
✓	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 #s(literal -1/192 binary64) (.f64 b b)))))))
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	cost-diff	0	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	cost-diff	0	(.f64 a (.f64 a a))
✓	cost-diff	0	(.f64 a (.f64 a (*.f64 a a)))
✓	cost-diff	128	(+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a))))
✓	cost-diff	512	(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))))
✓	cost-diff	0	(*.f64 a #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 (log1p.f64 (exp.f64 a)) b)
✓	cost-diff	0	(.f64 (.f64 (log1p.f64 (exp.f64 a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	cost-diff	128	(+.f64 (.f64 (.f64 (log1p.f64 (exp.f64 a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 b b))
✓	cost-diff	256	(/.f64 (+.f64 (.f64 (.f64 (log1p.f64 (exp.f64 a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b b)) (.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))

Rules

3764×	`-lowering-.f32`
3764×	`-lowering-.f64`
2300×	`fma-define`
1702×	`fma-lowering-fma.f32`
1702×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	207
1	103	194
2	315	189
3	909	189
4	2020	181
5	3259	181
6	3940	181
7	6466	181
8	6866	181
9	7372	181
0	8091	181

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize342.0ms (2.6%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 b b)))))))
✓	accuracy	100.0%	(.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 b b))))
✓	accuracy	100.0%	(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 b b))))))
✓	accuracy	99.7%	(.f64 #s(literal -1/192 binary64) (.f64 b b))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	accuracy	99.8%	(/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a a)))
✓	accuracy	99.8%	(/.f64 #s(literal 1/8 binary64) (*.f64 a a))
✓	accuracy	83.6%	(+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a))))
✓	accuracy	66.1%	(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))))
✓	accuracy	100.0%	(*.f64 a #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(.f64 (.f64 (log1p.f64 (exp.f64 a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	accuracy	99.8%	(*.f64 (log1p.f64 (exp.f64 a)) b)
✓	accuracy	81.5%	(/.f64 (+.f64 (.f64 (.f64 (log1p.f64 (exp.f64 a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b b)) (.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))

Results

209.0ms	126×	2	valid
65.0ms	125×	0	valid
7.0ms	2×	5	exit
5.0ms	2×	3	valid
1.0ms	1×	1	valid

Compiler

Compiled 241 to 34 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-mult: 34.0ms (19.3% of total)

backward-pass: 33.0ms (18.7% of total)

compiled-spec: 32.0ms (18.2% of total)

ival-log: 30.0ms (17% of total)

ival-add: 20.0ms (11.4% of total)

ival-div: 14.0ms (8% of total)

...c/correct-round.rkt:119:19: 7.0ms (4% of total)

ival-exp: 4.0ms (2.3% of total)

const: 2.0ms (1.1% of total)

series21.0ms (0.2%)

Counts

20 → 288

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
4.0ms	b	@	-inf	(+ (* (* (log (+ 1 (exp a))) b) (+ 1 (exp a))) (* b b))
2.0ms	a	@	inf	(/ (+ (* (* (log (+ 1 (exp a))) b) (+ 1 (exp a))) (* b b)) (* b (+ 1 (exp a))))
1.0ms	a	@	-inf	(/ (+ (* (* (log (+ 1 (exp a))) b) (+ 1 (exp a))) (* b b)) (* b (+ 1 (exp a))))
1.0ms	a	@	0	(/ (+ (* (* (log (+ 1 (exp a))) b) (+ 1 (exp a))) (* b b)) (* b (+ 1 (exp a))))
1.0ms	b	@	inf	(/ (+ (* (* (log (+ 1 (exp a))) b) (+ 1 (exp a))) (* b b)) (* b (+ 1 (exp a))))

rewrite371.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2782×	`/-lowering-/.f32`
2782×	`/-lowering-/.f64`
2548×	`-lowering-.f32`
2548×	`-lowering-.f64`
2292×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	157
1	224	145
2	2363	139
0	8450	139

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 510

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (*.f64 b b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal 2 binary64)) (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (.f64 b b))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (/.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (.f64 b b))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) (/.f64 (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (.f64 b b)) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))
(-.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (.f64 b b)))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (*.f64 b b)))))
(neg.f64 (/.f64 (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (.f64 b b)) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (.f64 b b))) (.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) (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (.f64 b b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (*.f64 b b)) b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (.f64 b b))))))
(/.f64 (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (.f64 b b)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (.f64 b b))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(/.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal 3 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) (+.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal 2 binary64)) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal 2 binary64)) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (.f64 b b))))
(/.f64 (/.f64 (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (*.f64 b b)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (.f64 b b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (.f64 b b))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (*.f64 b b)) b))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal 3 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal 2 binary64)) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal 2 binary64)) (.f64 b (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (.f64 b b)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (.f64 b b)))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))
(/.f64 (neg.f64 (/.f64 (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (*.f64 b b)) b)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal 3 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (neg.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) (+.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal 2 binary64)) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal 2 binary64)) (.f64 b (.f64 b (.f64 b b))))) (neg.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (.f64 b b)))))
(/.f64 (.f64 (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (.f64 b b)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal 3 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) (+.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal 2 binary64)) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal 2 binary64)) (.f64 b (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (.f64 b b)))
(/.f64 (/.f64 (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b)
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal 3 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal 2 binary64)) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal 2 binary64)) (.f64 b (.f64 b (.f64 b b)))) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (.f64 b b)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (.f64 b b))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (*.f64 b b)) b))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (.f64 b b)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal 3 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))) (neg.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal 2 binary64)) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal 2 binary64)) (.f64 b (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))) (neg.f64 (-.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (.f64 b b))))
(/.f64 (neg.f64 (/.f64 (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (-.f64 #s(literal 0 binary64) b))
(pow.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (.f64 b b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (.f64 b b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (*.f64 b b)) b)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (.f64 b b)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
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(pow.f64 (/.f64 (/.f64 (.f64 a (.f64 a a)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 a a) (/.f64 #s(literal 1/2 binary64) a)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a))))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a))))
(.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 a (-.f64 #s(literal 0 binary64) (*.f64 a a)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a))) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (.f64 a a)))
(.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 (.f64 a a) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 b (.f64 b #s(literal -1/192 binary64)))
(.f64 (.f64 b b) #s(literal -1/192 binary64))
(.f64 #s(literal -1/192 binary64) (.f64 b b))
(.f64 (.f64 b #s(literal -1/192 binary64)) b)
(+.f64 (.f64 b (.f64 (.f64 b b) #s(literal -1/192 binary64))) (.f64 b #s(literal 1/8 binary64)))
(+.f64 (.f64 b #s(literal 1/8 binary64)) (.f64 b (.f64 (.f64 b b) #s(literal -1/192 binary64))))
(-.f64 (/.f64 (.f64 (.f64 b #s(literal 1/8 binary64)) (.f64 b #s(literal 1/8 binary64))) (-.f64 (.f64 b #s(literal 1/8 binary64)) (.f64 b (.f64 (.f64 b b) #s(literal -1/192 binary64))))) (/.f64 (.f64 (.f64 b (.f64 (.f64 b b) #s(literal -1/192 binary64))) (.f64 b (.f64 (.f64 b b) #s(literal -1/192 binary64)))) (-.f64 (.f64 b #s(literal 1/8 binary64)) (.f64 b (.f64 (.f64 b b) #s(literal -1/192 binary64))))))
(fma.f64 b #s(literal 1/8 binary64) (.f64 b (.f64 (*.f64 b b) #s(literal -1/192 binary64))))
(fma.f64 b (.f64 (.f64 b b) #s(literal -1/192 binary64)) (*.f64 b #s(literal 1/8 binary64)))
(fma.f64 (.f64 b b) (.f64 b #s(literal -1/192 binary64)) (*.f64 b #s(literal 1/8 binary64)))
(fma.f64 #s(literal -1/192 binary64) (.f64 b (.f64 b b)) (*.f64 b #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/8 binary64) b (.f64 b (.f64 (*.f64 b b) #s(literal -1/192 binary64))))
(fma.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) b (*.f64 b #s(literal 1/8 binary64)))
(fma.f64 (.f64 b #s(literal -1/192 binary64)) (.f64 b b) (*.f64 b #s(literal 1/8 binary64)))
(fma.f64 (.f64 b (.f64 b b)) #s(literal -1/192 binary64) (*.f64 b #s(literal 1/8 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/512 binary64) (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 #s(literal -1/7077888 binary64) (.f64 b (.f64 b b))))) (+.f64 (.f64 (.f64 b #s(literal 1/8 binary64)) (.f64 b #s(literal 1/8 binary64))) (-.f64 (.f64 (.f64 b (.f64 (.f64 b b) #s(literal -1/192 binary64))) (.f64 b (.f64 (.f64 b b) #s(literal -1/192 binary64)))) (.f64 (.f64 b #s(literal 1/8 binary64)) (.f64 b (.f64 (*.f64 b b) #s(literal -1/192 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 b #s(literal 1/8 binary64)) (.f64 b #s(literal 1/8 binary64))) (.f64 (.f64 b (.f64 (.f64 b b) #s(literal -1/192 binary64))) (.f64 b (.f64 (.f64 b b) #s(literal -1/192 binary64))))) (-.f64 (.f64 b #s(literal 1/8 binary64)) (.f64 b (.f64 (.f64 b b) #s(literal -1/192 binary64)))))
(/.f64 (.f64 b (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 b b) (.f64 b (.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 b (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 b (.f64 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 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) #s(literal -1/7077888 binary64))) b) (+.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 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 1/36864 binary64))) b) (-.f64 #s(literal 1/8 binary64) (.f64 (*.f64 b b) #s(literal -1/192 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/512 binary64) (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 #s(literal -1/7077888 binary64) (.f64 b (.f64 b b)))))) (neg.f64 (+.f64 (.f64 (.f64 b #s(literal 1/8 binary64)) (.f64 b #s(literal 1/8 binary64))) (-.f64 (.f64 (.f64 b (.f64 (.f64 b b) #s(literal -1/192 binary64))) (.f64 b (.f64 (.f64 b b) #s(literal -1/192 binary64)))) (.f64 (.f64 b #s(literal 1/8 binary64)) (.f64 b (.f64 (*.f64 b b) #s(literal -1/192 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 b #s(literal 1/8 binary64)) (.f64 b #s(literal 1/8 binary64))) (.f64 (.f64 b (.f64 (.f64 b b) #s(literal -1/192 binary64))) (.f64 b (.f64 (.f64 b b) #s(literal -1/192 binary64)))))) (neg.f64 (-.f64 (.f64 b #s(literal 1/8 binary64)) (.f64 b (.f64 (.f64 b b) #s(literal -1/192 binary64))))))
(/.f64 (neg.f64 (.f64 b (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 b b) (.f64 b (.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 b (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 b (.f64 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 (neg.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) #s(literal -1/7077888 binary64))) b)) (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 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 1/36864 binary64))) b)) (neg.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (*.f64 b b) #s(literal -1/192 binary64)))))
(.f64 b (+.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))) b)

simplify203.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

3160×	`+-lowering-+.f64`
3160×	`+-lowering-+.f32`
2856×	`-lowering-.f32`
2856×	`-lowering-.f64`
1170×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	230	2633
1	743	2420
2	2621	2384
0	8438	2384

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

Outputs
(* 1/2 (/ (+ (* 2 (* b (log 2))) (pow b 2)) b))
(.f64 (.f64 b (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) b)) (/.f64 #s(literal 1/2 binary64) b))
(+ (* 1/2 (/ (+ (* 2 (* b (log 2))) (pow b 2)) b)) (* a (- (* 1/2 (+ 1 (log 2))) (* 1/4 (/ (+ (* 2 (* b (log 2))) (pow b 2)) b)))))
(+.f64 (.f64 (.f64 b (+.f64 (.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) b)) (/.f64 #s(literal 1/2 binary64) b)) (.f64 a (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (.f64 (.f64 b (+.f64 (.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) b)) (/.f64 #s(literal 1/4 binary64) b)))))
(+ (* 1/2 (/ (+ (* 2 (* b (log 2))) (pow b 2)) b)) (* a (- (+ (* 1/2 (+ 1 (log 2))) (* a (- (* 1/2 (+ 3/4 (* 1/2 (log 2)))) (+ (* 1/8 (/ (+ (* 2 (* b (log 2))) (pow b 2)) b)) (* 1/2 (- (* 1/2 (+ 1 (log 2))) (* 1/4 (/ (+ (* 2 (* b (log 2))) (pow b 2)) b)))))))) (* 1/4 (/ (+ (* 2 (* b (log 2))) (pow b 2)) b)))))
(+.f64 (.f64 (.f64 b (+.f64 (.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) b)) (/.f64 #s(literal 1/2 binary64) b)) (.f64 a (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (+.f64 (.f64 a (+.f64 (-.f64 (+.f64 #s(literal 3/8 binary64) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (.f64 b (+.f64 (.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) b)) (/.f64 #s(literal 1/8 binary64) b))) (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (.f64 (.f64 b (+.f64 (.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) b)) (/.f64 #s(literal 1/4 binary64) b))) #s(literal -1/2 binary64)))) (/.f64 (.f64 (.f64 b (+.f64 (.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) b)) #s(literal -1/4 binary64)) b)))))
(+ (* 1/2 (/ (+ (* 2 (* b (log 2))) (pow b 2)) b)) (* a (- (+ (* 1/2 (+ 1 (log 2))) (* a (- (+ (* 1/2 (+ 3/4 (* 1/2 (log 2)))) (* a (- (* 1/2 (+ 3/8 (* 1/6 (log 2)))) (+ (* 1/24 (/ (+ (* 2 (* b (log 2))) (pow b 2)) b)) (+ (* 1/4 (- (* 1/2 (+ 1 (log 2))) (* 1/4 (/ (+ (* 2 (* b (log 2))) (pow b 2)) b)))) (* 1/2 (- (* 1/2 (+ 3/4 (* 1/2 (log 2)))) (+ (* 1/8 (/ (+ (* 2 (* b (log 2))) (pow b 2)) b)) (* 1/2 (- (* 1/2 (+ 1 (log 2))) (* 1/4 (/ (+ (* 2 (* b (log 2))) (pow b 2)) b)))))))))))) (+ (* 1/8 (/ (+ (* 2 (* b (log 2))) (pow b 2)) b)) (* 1/2 (- (* 1/2 (+ 1 (log 2))) (* 1/4 (/ (+ (* 2 (* b (log 2))) (pow b 2)) b)))))))) (* 1/4 (/ (+ (* 2 (* b (log 2))) (pow b 2)) b)))))
(+.f64 (.f64 (.f64 b (+.f64 (.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) b)) (/.f64 #s(literal 1/2 binary64) b)) (.f64 a (+.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (.f64 (.f64 b (+.f64 (.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) b)) (/.f64 #s(literal 1/4 binary64) b))) (.f64 a (+.f64 (+.f64 (-.f64 (+.f64 #s(literal 3/8 binary64) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (.f64 b (+.f64 (.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) b)) (/.f64 #s(literal 1/8 binary64) b))) (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (.f64 (.f64 b (+.f64 (.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) b)) (/.f64 #s(literal 1/4 binary64) b))) #s(literal -1/2 binary64))) (.f64 a (+.f64 (-.f64 (+.f64 #s(literal 3/16 binary64) (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 b (+.f64 (.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) b)) (/.f64 #s(literal 1/24 binary64) b)))) (.f64 #s(literal 1/4 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (.f64 (.f64 b (+.f64 (.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) b)) (/.f64 #s(literal 1/4 binary64) b))))) (.f64 (+.f64 (-.f64 (+.f64 #s(literal 3/8 binary64) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (.f64 b (+.f64 (.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) b)) (/.f64 #s(literal 1/8 binary64) b))) (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (.f64 (.f64 b (+.f64 (.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) b)) (/.f64 #s(literal 1/4 binary64) b))) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))))))))
(/ (+ (* b (* (log (+ 1 (exp a))) (+ 1 (exp a)))) (pow b 2)) (* b (+ 1 (exp a))))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (+ (* b (* (log (+ 1 (exp a))) (+ 1 (exp a)))) (pow b 2)) (* b (+ 1 (exp a))))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (+ (* b (* (log (+ 1 (exp a))) (+ 1 (exp a)))) (pow b 2)) (* b (+ 1 (exp a))))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (+ (* b (* (log (+ 1 (exp a))) (+ 1 (exp a)))) (pow b 2)) (* b (+ 1 (exp a))))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (+ (* b (* (log (+ 1 (exp a))) (+ 1 (exp a)))) (pow b 2)) (* b (+ 1 (exp a))))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (+ (* b (* (log (+ 1 (exp a))) (+ 1 (exp a)))) (pow b 2)) (* b (+ 1 (exp a))))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (+ (* b (* (log (+ 1 (exp a))) (+ 1 (exp a)))) (pow b 2)) (* b (+ 1 (exp a))))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (+ (* b (* (log (+ 1 (exp a))) (+ 1 (exp a)))) (pow b 2)) (* b (+ 1 (exp a))))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* 2 (* b (log 2))) (pow b 2))
(.f64 b (+.f64 (.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) b))
(+ (* 2 (* b (log 2))) (+ (* a (* b (+ 1 (log 2)))) (pow b 2)))
(+.f64 (.f64 b (.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))) (.f64 b (+.f64 b (.f64 a (+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64))))))
(+ (* 2 (* b (log 2))) (+ (* a (+ (* a (* b (+ 3/4 (* 1/2 (log 2))))) (* b (+ 1 (log 2))))) (pow b 2)))
(+.f64 (.f64 b (+.f64 (.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) b)) (.f64 (.f64 b a) (+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 a (+.f64 #s(literal 3/4 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))))
(+ (* 2 (* b (log 2))) (+ (* a (+ (* a (+ (* a (* b (+ 3/8 (* 1/6 (log 2))))) (* b (+ 3/4 (* 1/2 (log 2)))))) (* b (+ 1 (log 2))))) (pow b 2)))
(+.f64 (.f64 b (+.f64 (.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) b)) (.f64 a (+.f64 (.f64 b (+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 b a) (+.f64 (+.f64 #s(literal 3/4 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (.f64 a (+.f64 #s(literal 3/8 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)))))))))
(+ (* b (* (log (+ 1 (exp a))) (+ 1 (exp a)))) (pow b 2))
(.f64 b (+.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))))
(+ (* b (* (log (+ 1 (exp a))) (+ 1 (exp a)))) (pow b 2))
(.f64 b (+.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))))
(+ (* b (* (log (+ 1 (exp a))) (+ 1 (exp a)))) (pow b 2))
(.f64 b (+.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))))
(+ (* b (* (log (+ 1 (exp a))) (+ 1 (exp a)))) (pow b 2))
(.f64 b (+.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))))
(+ (* b (* (log (+ 1 (exp a))) (+ 1 (exp a)))) (pow b 2))
(.f64 b (+.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))))
(+ (* b (* (log (+ 1 (exp a))) (+ 1 (exp a)))) (pow b 2))
(.f64 b (+.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))))
(+ (* b (* (log (+ 1 (exp a))) (+ 1 (exp a)))) (pow b 2))
(.f64 b (+.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))))
(+ (* b (* (log (+ 1 (exp a))) (+ 1 (exp a)))) (pow b 2))
(.f64 b (+.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))))
(* b (* (log (+ 1 (exp a))) (+ 1 (exp a))))
(.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))))
(* b (+ b (* (log (+ 1 (exp a))) (+ 1 (exp a)))))
(.f64 b (+.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))))
(* b (+ b (* (log (+ 1 (exp a))) (+ 1 (exp a)))))
(.f64 b (+.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))))
(* b (+ b (* (log (+ 1 (exp a))) (+ 1 (exp a)))))
(.f64 b (+.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (* (log (+ 1 (exp a))) (+ 1 (exp a))) b)))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))
(* (pow b 2) (+ 1 (/ (* (log (+ 1 (exp a))) (+ 1 (exp a))) b)))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))
(* (pow b 2) (+ 1 (/ (* (log (+ 1 (exp a))) (+ 1 (exp a))) b)))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (* (log (+ 1 (exp a))) (+ 1 (exp a))) b)))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))
(* (pow b 2) (+ 1 (/ (* (log (+ 1 (exp a))) (+ 1 (exp a))) b)))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))
(* (pow b 2) (+ 1 (/ (* (log (+ 1 (exp a))) (+ 1 (exp a))) b)))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))
(* 2 (* b (log 2)))
(.f64 b (.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))))
(+ (* 2 (* b (log 2))) (* a (* b (+ 1 (log 2)))))
(.f64 b (+.f64 (.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 a (+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))))
(+ (* 2 (* b (log 2))) (* a (+ (* a (* b (+ 3/4 (* 1/2 (log 2))))) (* b (+ 1 (log 2))))))
(+.f64 (.f64 b (.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))) (.f64 (.f64 b a) (+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 a (+.f64 #s(literal 3/4 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))))
(+ (* 2 (* b (log 2))) (* a (+ (* a (+ (* a (* b (+ 3/8 (* 1/6 (log 2))))) (* b (+ 3/4 (* 1/2 (log 2)))))) (* b (+ 1 (log 2))))))
(+.f64 (.f64 b (+.f64 (.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) (.f64 a (+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64))))) (.f64 a (.f64 (.f64 b a) (+.f64 (+.f64 #s(literal 3/4 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (.f64 a (+.f64 #s(literal 3/8 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))))))))
(* b (* (log (+ 1 (exp a))) (+ 1 (exp a))))
(.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))))
(* b (* (log (+ 1 (exp a))) (+ 1 (exp a))))
(.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))))
(* b (* (log (+ 1 (exp a))) (+ 1 (exp a))))
(.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))))
(* b (* (log (+ 1 (exp a))) (+ 1 (exp a))))
(.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))))
(* b (* (log (+ 1 (exp a))) (+ 1 (exp a))))
(.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))))
(* b (* (log (+ 1 (exp a))) (+ 1 (exp a))))
(.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))))
(* b (* (log (+ 1 (exp a))) (+ 1 (exp a))))
(.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))))
(* b (* (log (+ 1 (exp a))) (+ 1 (exp a))))
(.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))))
(* b (* (log (+ 1 (exp a))) (+ 1 (exp a))))
(.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))))
(* b (* (log (+ 1 (exp a))) (+ 1 (exp a))))
(.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))))
(* b (* (log (+ 1 (exp a))) (+ 1 (exp a))))
(.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))))
(* b (* (log (+ 1 (exp a))) (+ 1 (exp a))))
(.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))))
(* b (* (log (+ 1 (exp a))) (+ 1 (exp a))))
(.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))))
(* b (* (log (+ 1 (exp a))) (+ 1 (exp a))))
(.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))))
(* b (* (log (+ 1 (exp a))) (+ 1 (exp a))))
(.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))))
(* b (* (log (+ 1 (exp a))) (+ 1 (exp a))))
(.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))))
(* b (* (log (+ 1 (exp a))) (+ 1 (exp a))))
(.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))))
(* b (* (log (+ 1 (exp a))) (+ 1 (exp a))))
(.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))))
(* b (* (log (+ 1 (exp a))) (+ 1 (exp a))))
(.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))))
(* b (* (log (+ 1 (exp a))) (+ 1 (exp a))))
(.f64 b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))))
(* b (log 2))
(*.f64 b (log.f64 #s(literal 2 binary64)))
(+ (* 1/2 (* a b)) (* b (log 2)))
(.f64 b (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) a)))
(+ (* a (+ (* 1/8 (* a b)) (* 1/2 b))) (* b (log 2)))
(+.f64 (.f64 b (log.f64 #s(literal 2 binary64))) (.f64 b (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))))
(+ (* a (+ (* 1/2 b) (* a (+ (* -1/192 (* (pow a 2) b)) (* 1/8 b))))) (* b (log 2)))
(+.f64 (.f64 a (.f64 (.f64 b a) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a))))) (.f64 b (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))))
(* b (log (+ 1 (exp a))))
(*.f64 b (log1p.f64 (exp.f64 a)))
(* b (log (+ 1 (exp a))))
(*.f64 b (log1p.f64 (exp.f64 a)))
(* b (log (+ 1 (exp a))))
(*.f64 b (log1p.f64 (exp.f64 a)))
(* b (log (+ 1 (exp a))))
(*.f64 b (log1p.f64 (exp.f64 a)))
(* b (log (+ 1 (exp a))))
(*.f64 b (log1p.f64 (exp.f64 a)))
(* b (log (+ 1 (exp a))))
(*.f64 b (log1p.f64 (exp.f64 a)))
(* b (log (+ 1 (exp a))))
(*.f64 b (log1p.f64 (exp.f64 a)))
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(*.f64 b (log1p.f64 (exp.f64 a)))
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(/ 1/2 (pow a 3))
(/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a a)))
(/ 1/2 (pow a 3))
(/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a a)))
(/ 1/2 (pow a 3))
(/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a a)))
(/ 1/2 (pow a 3))
(/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a a)))
(/ 1/2 (pow a 3))
(/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a a)))
(/ 1/2 (pow a 3))
(/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a a)))
(/ 1/2 (pow a 3))
(/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a a)))
(/ 1/2 (pow a 3))
(/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a a)))
(/ 1/2 (pow a 3))
(/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a a)))
(/ 1/2 (pow a 3))
(/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a a)))
(* -1/192 (pow b 2))
(.f64 (.f64 b b) #s(literal -1/192 binary64))
(* -1/192 (pow b 2))
(.f64 (.f64 b b) #s(literal -1/192 binary64))
(* -1/192 (pow b 2))
(.f64 (.f64 b b) #s(literal -1/192 binary64))
(* -1/192 (pow b 2))
(.f64 (.f64 b b) #s(literal -1/192 binary64))
(* -1/192 (pow b 2))
(.f64 (.f64 b b) #s(literal -1/192 binary64))
(* -1/192 (pow b 2))
(.f64 (.f64 b b) #s(literal -1/192 binary64))
(* -1/192 (pow b 2))
(.f64 (.f64 b b) #s(literal -1/192 binary64))
(* -1/192 (pow b 2))
(.f64 (.f64 b b) #s(literal -1/192 binary64))
(* -1/192 (pow b 2))
(.f64 (.f64 b b) #s(literal -1/192 binary64))
(* -1/192 (pow b 2))
(.f64 (.f64 b b) #s(literal -1/192 binary64))
(* -1/192 (pow b 2))
(.f64 (.f64 b b) #s(literal -1/192 binary64))
(* -1/192 (pow b 2))
(.f64 (.f64 b b) #s(literal -1/192 binary64))
(* 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 (*.f64 b b) #s(literal -1/192 binary64))))
(* b (+ 1/8 (* -1/192 (pow b 2))))
(.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 b b) #s(literal -1/192 binary64))))
(* b (+ 1/8 (* -1/192 (pow b 2))))
(.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 b b) #s(literal -1/192 binary64))))
(* -1/192 (pow b 3))
(.f64 b (.f64 (*.f64 b b) #s(literal -1/192 binary64)))
(* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(.f64 (.f64 b b) (.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b)))))
(* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(.f64 (.f64 b b) (.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b)))))
(* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(.f64 (.f64 b b) (.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b)))))
(* -1/192 (pow b 3))
(.f64 b (.f64 (*.f64 b b) #s(literal -1/192 binary64)))
(* -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))))))

eval149.0ms (1.1%)

Compiler: Compiled 26084 to 2123 computations (91.9% saved)

prune105.0ms (0.8%)

Pruning

24 alts after pruning (17 fresh and 7 done)

	Pruned	Kept	Total
New	930	5	935
Fresh	1	12	13
Picked	3	2	5
Done	0	5	5
Total	934	24	958

Accuracy

99.4%

Counts

958 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.6%	(/.f64 (+.f64 (.f64 b (.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))) (.f64 b b)) (.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
✓	52.2%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
	11.9%	(/.f64 b #s(literal 2 binary64))
	48.4%	(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a #s(literal 1/2 binary64))) (.f64 a (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 a a))))))
	49.3%	(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	60.8%	(+.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))))
	48.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/512 binary64) (.f64 a (.f64 a a)))) a) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a #s(literal 1/8 binary64)) (-.f64 (*.f64 a #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
✓	49.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 b b)))))))
	49.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
✓	48.4%	(+.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)))))))
✓	48.7%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
✓	48.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
	4.2%	(.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))))))
	2.2%	(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))
	49.3%	(*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)))
	5.3%	(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))
	3.4%	(.f64 a (.f64 a #s(literal 1/8 binary64)))
	46.9%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
	47.4%	(log1p.f64 (+.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))))))))
	49.9%	(log1p.f64 (exp.f64 b))
✓	50.9%	(log1p.f64 (exp.f64 a))
✓	48.8%	(log1p.f64 #s(literal 1 binary64))
	49.0%	(log.f64 (+.f64 #s(literal 2 binary64) b))
	65.3%	(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) (+.f64 (.f64 (log1p.f64 (exp.f64 a)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (*.f64 b b)))) #s(literal -1 binary64)))

Compiler

Compiled 738 to 371 computations (49.7% saved)

regimes62.0ms (0.5%)

Counts

38 → 1

Calls

Call 1

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

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

Calls

6 calls:

12.0ms	a
11.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
11.0ms	b
9.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
9.0ms	(exp.f64 b)

Results

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes54.0ms (0.4%)

Counts

32 → 2

Calls

Call 1

Inputs
(*.f64 a #s(literal 1/2 binary64))
(/.f64 b #s(literal 2 binary64))
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))))
(.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))))))
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 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)))))
(log1p.f64 (+.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))))))))
(+.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 #s(literal -1/192 binary64) (.f64 b b)))))))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a #s(literal 1/2 binary64))) (.f64 a (.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 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/512 binary64) (.f64 a (.f64 a a)))) a) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a #s(literal 1/8 binary64)) (-.f64 (*.f64 a #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
(log.f64 (+.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))))))))
(/.f64 (+.f64 (.f64 b (.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))) (.f64 b b)) (.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(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
9.0ms	a
9.0ms	(exp.f64 a)
7.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
7.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
98.8%	2	`a`
63.7%	2	`b`
98.1%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.1%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.8%	2	`(exp.f64 a)`
54.9%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes21.0ms (0.2%)

Counts

30 → 2

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	a
7.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.1%	2	`a`
98.1%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes14.0ms (0.1%)

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

7.0ms	a
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.2%	2	`a`
97.2%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes14.0ms (0.1%)

Counts

21 → 2

Calls

Call 1

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

Calls

2 calls:

7.0ms	a
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.2%	2	`a`
97.2%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes12.0ms (0.1%)

Counts

19 → 2

Calls

Call 1

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

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:

6.0ms	a
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.2%	2	`a`
97.2%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes12.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

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

Calls

2 calls:

6.0ms	a
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
96.6%	2	`a`
96.6%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes11.0ms (0.1%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	a
5.0ms	b

Results

Accuracy	Segments	Branch
49.3%	1	`b`
56.3%	2	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
56.3%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
56.2%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
55.9%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	b
3.0ms	a

Results

Accuracy	Segments	Branch
11.9%	1	`b`
11.9%	1	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	b
1.0ms	a

Results

Accuracy	Segments	Branch
2.5%	1	`b`
2.5%	1	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.125362219279363e-36	0.06374465230504292

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.522815729871757e-252	4.125362219279363e-36

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06374465230504292	0.9201529511309214

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06374465230504292	0.9201529511309214

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.125362219279363e-36	0.06374465230504292

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06374465230504292	0.9201529511309214

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-2.752869983873271	-0.08321537152799269

Results

8.0ms

112×

valid

Compiler

Compiled 118 to 101 computations (14.4% saved)

Precisions

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

ival-exp: 2.0ms (54% of total)

ival-add: 1.0ms (27% of total)

ival-log: 1.0ms (27% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-2.752869983873271	-0.08321537152799269

Results

7.0ms

112×

valid

Compiler

Compiled 104 to 87 computations (16.3% saved)

Precisions

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

ival-exp: 2.0ms (53.8% of total)

ival-add: 1.0ms (26.9% of total)

ival-log: 1.0ms (26.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-81.47590952111975	-2.752869983873271

Results

19.0ms	103×	1	valid
1.0ms	9×	0	valid

Compiler

Compiled 104 to 87 computations (16.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-exp: 5.0ms (37.8% of total)

ival-log: 5.0ms (37.8% of total)

backward-pass: 2.0ms (15.1% of total)

ival-add: 1.0ms (7.6% of total)

const: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	-81.47590952111975	-2.752869983873271

Results

18.0ms	105×	1	valid
1.0ms	7×	0	valid

Compiler

Compiled 90 to 80 computations (11.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-exp: 5.0ms (41.6% of total)

ival-log: 4.0ms (33.3% of total)

backward-pass: 2.0ms (16.6% of total)

ival-add: 1.0ms (8.3% of total)

const: 0.0ms (0% of total)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	185
1	87	185

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(if (<=.f64 (exp.f64 a) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 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 5159126280621731/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/36028797018963968 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a #s(literal 1/2 binary64))) (.f64 a (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 a a)))))))
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/36028797018963968 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 (exp.f64 a) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 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 3602879701896397/36028797018963968 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a)))
(if (<=.f64 a #s(literal -6124895493223875/4503599627370496 binary64)) (/.f64 b #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a)))
(if (<=.f64 a #s(literal -1 binary64)) (/.f64 b #s(literal 2 binary64)) (log1p.f64 (+.f64 a #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -70 binary64)) (/.f64 b #s(literal 2 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) b)))
(if (<=.f64 a #s(literal -80 binary64)) (/.f64 b #s(literal 2 binary64)) (log1p.f64 #s(literal 1 binary64)))
(/.f64 b #s(literal 2 binary64))
(*.f64 a #s(literal 1/2 binary64))

Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 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 7482888383134223/1496577676626844588240573268701473812127674924007424 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 5159126280621731/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) #s(literal 5159126280621731/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/36028797018963968 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a #s(literal 1/2 binary64))) (.f64 a (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 a a)))))))
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/36028797018963968 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a #s(literal 1/2 binary64))) (.f64 a (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 a a)))))))
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/36028797018963968 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 (exp.f64 a) #s(literal 3602879701896397/36028797018963968 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 (exp.f64 a) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 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 7482888383134223/1496577676626844588240573268701473812127674924007424 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 3602879701896397/36028797018963968 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a)))
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/36028797018963968 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 -6124895493223875/4503599627370496 binary64)) (/.f64 b #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a)))
(if (<=.f64 a #s(literal -6124895493223875/4503599627370496 binary64)) (/.f64 b #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -1 binary64)) (/.f64 b #s(literal 2 binary64)) (log1p.f64 (+.f64 a #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -70 binary64)) (/.f64 b #s(literal 2 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) b)))
(if (<=.f64 a #s(literal -70 binary64)) (/.f64 b #s(literal 2 binary64)) (log.f64 (+.f64 b #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -80 binary64)) (/.f64 b #s(literal 2 binary64)) (log1p.f64 #s(literal 1 binary64)))
(/.f64 b #s(literal 2 binary64))
(*.f64 a #s(literal 1/2 binary64))

soundness1.6s (12.1%)

Rules

4588×	`+-lowering-+.f64`
4588×	`+-lowering-+.f32`
4452×	`-lowering-.f32`
4452×	`-lowering-.f64`
3712×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	480
1	291	446
2	963	442
3	3348	440
0	8044	440
0	230	2633
1	743	2420
2	2621	2384
0	8438	2384
0	168	1796
1	515	1660
2	1613	1628
3	5127	1581
0	8480	1581
0	393	3105
1	1238	2690
2	4303	2640
0	9234	2640
0	29	125
1	187	112
2	1888	110
0	8290	110

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
1×	iter limit
1×	node limit

Compiler

Compiled 609 to 377 computations (38.1% saved)

preprocess88.0ms (0.7%)

Compiler: Compiled 466 to 182 computations (60.9% saved)

Iter	Nodes	Cost
0	18	24
1	37	24
2	55	24
3	64	24
4	93	24
5	112	24
6	131	24
7	155	24
8	162	24
0	6	3
1	8	3
2	9	3
0	9	3

Iter	Nodes	Cost
0	18	24
1	37	24
2	55	24
3	64	24
4	93	24
5	112	24
6	131	24
7	155	24
8	162	24
0	6	3
1	8	3
2	9	3
0	9	3

analyze185.0ms (1.4%)

sample5.5s (40.8%)

preprocess21.0ms (0.2%)

explain156.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize68.0ms (0.5%)

series85.0ms (0.6%)

rewrite342.0ms (2.6%)

simplify240.0ms (1.8%)

eval53.0ms (0.4%)

prune56.0ms (0.4%)

simplify24.0ms (0.2%)

localize398.0ms (3%)

series298.0ms (2.2%)

rewrite392.0ms (2.9%)

simplify257.0ms (1.9%)

eval122.0ms (0.9%)

prune96.0ms (0.7%)

simplify302.0ms (2.3%)

localize438.0ms (3.3%)

series39.0ms (0.3%)

rewrite298.0ms (2.2%)

simplify497.0ms (3.7%)

eval69.0ms (0.5%)

prune63.0ms (0.5%)

simplify206.0ms (1.5%)

localize342.0ms (2.6%)

series21.0ms (0.2%)

rewrite371.0ms (2.8%)

simplify203.0ms (1.5%)

eval149.0ms (1.1%)

prune105.0ms (0.8%)

regimes62.0ms (0.5%)

regimes54.0ms (0.4%)

regimes21.0ms (0.2%)

regimes14.0ms (0.1%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes12.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.1%)

bsearch12.0ms (0.1%)

bsearch26.0ms (0.2%)

bsearch24.0ms (0.2%)

simplify14.0ms (0.1%)

soundness1.6s (12.1%)

preprocess88.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	24
1	37	24
2	55	24
3	64	24
4	93	24
5	112	24
6	131	24
7	155	24
8	162	24
0	6	3
1	8	3
2	9	3
0	9	3