Metrics for symmetry log of sum of exp

analyze181.0ms (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: 86.0ms

ival-add: 32.0ms (37% of total)

ival-exp: 28.0ms (32.4% of total)

ival-log: 24.0ms (27.8% of total)

const: 1.0ms (1.2% of total)

backward-pass: 1.0ms (1.2% of total)

sample4.9s (38.7%)

Results

2.3s	7977×	5	exit
911.0ms	1786×	2	valid
465.0ms	2164×	1	valid
396.0ms	4306×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-log: 863.0ms (32.8% of total)

backward-pass: 760.0ms (28.9% of total)

ival-exp: 748.0ms (28.4% of total)

ival-add: 243.0ms (9.2% of total)

const: 18.0ms (0.7% of total)

Bogosity

preprocess20.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

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)

explain143.0ms (1.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
137	-	-	`(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

57.0ms	108×	2	valid
34.0ms	138×	1	valid
22.0ms	266×	0	valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-log: 38.0ms (52.1% of total)

ival-exp: 23.0ms (31.5% of total)

backward-pass: 6.0ms (8.2% of total)

ival-add: 5.0ms (6.9% of total)

const: 1.0ms (1.4% 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
▶	52.4%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify3.0ms (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

localize83.0ms (0.7%)

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	52.4%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

29.0ms	54×	2	valid
26.0ms	133×	0	valid
18.0ms	69×	1	valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

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

ival-log: 18.0ms (46.4% of total)

ival-exp: 15.0ms (38.7% of total)

backward-pass: 3.0ms (7.7% of total)

ival-add: 3.0ms (7.7% of total)

const: 0.0ms (0% of total)

series90.0ms (0.7%)

Counts

4 → 72

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
29.0ms	a	@	inf	(log (+ (exp a) (exp b)))
23.0ms	a	@	-inf	(log (+ (exp a) (exp b)))
19.0ms	b	@	inf	(log (+ (exp a) (exp b)))
17.0ms	b	@	-inf	(log (+ (exp a) (exp b)))
1.0ms	a	@	0	(log (+ (exp a) (exp b)))

rewrite321.0ms (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)))))))
(-.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 4 binary64))) (+.f64 (exp.f64 (.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64))))) (-.f64 (exp.f64 a) (exp.f64 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))

simplify237.0ms (1.9%)

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)

eval44.0ms (0.3%)

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

prune34.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	260	9	269
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	260	10	270

Accuracy

98.4%

Counts

270 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.2%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
▶	52.4%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
	46.7%	(log1p.f64 (exp.f64 b))
▶	48.2%	(log1p.f64 (exp.f64 a))
	52.2%	(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))))))
	51.0%	(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))))))))
▶	50.5%	(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)))))))
	49.7%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	52.4%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶	47.1%	(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))

Compiler

Compiled 228 to 170 computations (25.4% saved)

simplify18.0ms (0.1%)

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 a)
✓	cost-diff	0	(+.f64 (exp.f64 a) #s(literal 1 binary64))
✓	cost-diff	128	(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓	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`
120×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	133
1	46	117
2	96	113
3	201	113
4	343	113
5	414	113
6	425	113
0	425	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 (+ (exp a) 1))
(+ (exp a) 1)
(exp a)
a
1
(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 (+ (exp a) 1))
(log1p.f64 (exp.f64 a))
(+ (exp a) 1)
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(exp a)
(exp.f64 a)
a
1
#s(literal 1 binary64)
(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

localize317.0ms (2.5%)

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	52.5%	(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 (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%	(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
✓	accuracy	55.1%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (exp.f64 a) #s(literal 1 binary64))
✓	accuracy	98.9%	(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))
✓	accuracy	100.0%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))
✓	accuracy	100.0%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))

Results

214.0ms	131×	2	valid
47.0ms	122×	0	valid
2.0ms	3×	1	valid

Compiler

Compiled 141 to 23 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 220.0ms

ival-log: 103.0ms (46.8% of total)

compiled-spec: 31.0ms (14.1% of total)

ival-add: 22.0ms (10% of total)

backward-pass: 19.0ms (8.6% of total)

ival-exp: 17.0ms (7.7% of total)

ival-div: 16.0ms (7.3% of total)

ival-mult: 8.0ms (3.6% of total)

ival-neg: 3.0ms (1.4% of total)

const: 1.0ms (0.5% of total)

series263.0ms (2.1%)

Counts

15 → 276

Calls

Call 1

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

69 calls:

Time	Variable		Point	Expression
65.0ms	a	@	inf	(neg (log (/ 1 (+ (exp a) (exp b)))))
42.0ms	b	@	-inf	(neg (log (/ 1 (+ (exp a) (exp b)))))
34.0ms	a	@	-inf	(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
31.0ms	a	@	inf	(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
23.0ms	a	@	inf	(log (+ (exp a) (+ 1 (* b (+ 1 (* b 1/2))))))

rewrite366.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3638×	`/-lowering-/.f32`
3638×	`/-lowering-/.f64`
3004×	`-lowering-.f32`
3004×	`-lowering-.f64`
2288×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	99
1	137	84
2	1337	78
0	8421	78

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 565

Calls

Call 1

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

simplify288.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

4012×	`-lowering-.f32`
4012×	`-lowering-.f64`
3492×	`+-lowering-+.f64`
3492×	`+-lowering-+.f32`
2026×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	380	3081
1	1198	2653
2	4178	2606
0	9538	2606

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

eval114.0ms (0.9%)

Compiler: Compiled 23384 to 2659 computations (88.6% saved)

prune164.0ms (1.3%)

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	930	18	948
Fresh	2	2	4
Picked	3	2	5
Done	0	1	1
Total	935	23	958

Accuracy

98.4%

Counts

958 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.8%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
	74.9%	(/.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)))))
	45.4%	(+.f64 (.f64 #s(literal 1/2 binary64) b) (+.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a #s(literal 1/8 binary64)) (.f64 b #s(literal -1/4 binary64))))) (log.f64 #s(literal 2 binary64))))
▶	97.0%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
	55.4%	(+.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))))
	45.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64))))))))
	45.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
	45.7%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
	44.7%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
	51.0%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))))
	95.0%	(log1p.f64 (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (exp.f64 a)))
	43.4%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
▶	43.8%	(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))))))))
	46.7%	(log1p.f64 (exp.f64 b))
✓	48.2%	(log1p.f64 (exp.f64 a))
▶	45.2%	(log1p.f64 #s(literal 1 binary64))
	4.7%	(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) (expm1.f64 a)))
	51.0%	(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))))))))
▶	49.7%	(log.f64 (+.f64 (exp.f64 a) (+.f64 b #s(literal 1 binary64))))
✓	50.5%	(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)))))))
✓	52.4%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	45.7%	(log.f64 (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))))
	45.7%	(log.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))

Compiler

Compiled 558 to 417 computations (25.3% saved)

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

946×	`fma-define`
788×	`fma-lowering-fma.f32`
788×	`fma-lowering-fma.f64`
510×	`sum3-define`
348×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	142
1	59	127
2	140	123
3	308	123
4	632	123
5	1094	123
6	1437	123
7	1474	123
8	1475	123
0	1475	123

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize118.0ms (0.9%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 b #s(literal 1 binary64))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(log.f64 (+.f64 (exp.f64 a) (+.f64 b #s(literal 1 binary64))))
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (+.f64 b #s(literal 1 binary64)))
✓	accuracy	100.0%	(.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))
✓	accuracy	100.0%	(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))))))))
✓	accuracy	100.0%	(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/6 binary64))))
✓	accuracy	99.7%	(*.f64 a #s(literal 1/6 binary64))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	accuracy	100.0%	(log1p.f64 #s(literal 1 binary64))
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))

Results

43.0ms	134×	0	invalid
36.0ms	121×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 146 to 24 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-add: 17.0ms (27% of total)

compiled-spec: 15.0ms (23.8% of total)

ival-log: 12.0ms (19.1% of total)

ival-mult: 6.0ms (9.5% of total)

ival-div: 5.0ms (7.9% of total)

...c/correct-round.rkt:119:19: 4.0ms (6.4% of total)

ival-exp: 2.0ms (3.2% of total)

const: 1.0ms (1.6% of total)

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

series47.0ms (0.4%)

Counts

17 → 264

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
18.0ms	a	@	-inf	(log (+ (exp a) (+ b 1)))
18.0ms	a	@	inf	(log (+ (exp a) (+ b 1)))
0.0ms	a	@	0	(log (+ (exp a) (+ b 1)))
0.0ms	a	@	-inf	(log (+ 1 (+ 1 (* a (+ 1 (* a (+ 1/2 (* a 1/6))))))))
0.0ms	a	@	inf	(log (+ 1 (+ 1 (* a (+ 1 (* a (+ 1/2 (* a 1/6))))))))

rewrite330.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3654×	`-lowering-.f32`
3654×	`-lowering-.f64`
3616×	`/-lowering-/.f32`
3616×	`/-lowering-/.f64`
2334×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	112
1	164	99
2	1718	97
0	9234	97

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 478

Calls

Call 1

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

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

simplify228.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

4600×	`+-lowering-+.f64`
4600×	`+-lowering-+.f32`
2910×	`-lowering-.f32`
2910×	`-lowering-.f64`
1766×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	296	2108
1	914	1925
2	3164	1884
0	8611	1884

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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))))))
(* 1/2 b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
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)))
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) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -5/192 (pow a 2)))))))
(+ (log 1/6) (* -3 (log (/ 1 a))))
(+ (log 1/6) (+ (* -3 (log (/ 1 a))) (* 3 (/ 1 a))))
(+ (log 1/6) (+ (* -3 (log (/ 1 a))) (+ (* 3 (/ 1 a)) (/ 3/2 (pow a 2)))))
(+ (log 1/6) (+ (* -3 (log (/ 1 a))) (+ (* 3 (/ 1 a)) (+ (* 3 (/ 1 (pow a 3))) (/ 3/2 (pow a 2))))))
(+ (log -1/6) (* -3 (log (/ -1 a))))
(+ (log -1/6) (+ (* -3 (log (/ -1 a))) (* 3 (/ 1 a))))
(+ (log -1/6) (+ (* -3 (log (/ -1 a))) (+ (* 3 (/ 1 a)) (/ 3/2 (pow a 2)))))
(+ (log -1/6) (+ (* -3 (log (/ -1 a))) (* -1 (/ (- (* -1 (/ (+ 3/2 (* 3 (/ 1 a))) a)) 3) a))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(* 1/6 (pow a 3))
(* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))
(* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
(* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))))))
(* 1/6 (pow a 3))
(* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1/6)))
a
(* a (+ 1 (* 1/2 a)))
(* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))
(* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))
(* 1/6 (pow a 3))
(* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))
(* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
(* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
(* 1/6 (pow a 3))
(* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))
1
(+ 1 (* 1/2 a))
(+ 1 (* a (+ 1/2 (* 1/6 a))))
(+ 1 (* a (+ 1/2 (* 1/6 a))))
(* 1/6 (pow a 2))
(* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
(* 1/6 (pow a 2))
(* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
(log (+ 2 b))
(+ (log (+ 2 b)) (/ a (+ 2 b)))
(+ (log (+ 2 b)) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2))))) (/ 1 (+ 2 b)))))
(+ (log (+ 2 b)) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 b) 3))) (/ 1 (+ 2 b))) (* 3 (/ 1 (pow (+ 2 b) 2)))))) (* 1/2 (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2)))))) (/ 1 (+ 2 b)))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/3 (/ b (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(* -1 (log (/ 1 b)))
(+ (* -1 (log (/ 1 b))) (+ (/ 1 b) (/ (exp a) b)))
(+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (/ 1 b) (/ (exp a) b))))
(+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (* 1/3 (/ (pow (+ 1 (exp a)) 3) (pow b 3))) (+ (/ 1 b) (/ (exp a) b)))))
(+ (log -1) (* -1 (log (/ -1 b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (+ (/ 1 b) (/ (exp a) b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* 1/2 (/ (pow (+ 1 (exp a)) 2) b))) b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* -1 (/ (+ (* -1/2 (pow (+ 1 (exp a)) 2)) (* 1/3 (/ (pow (+ 1 (exp a)) 3) b))) b))) b))))
(+ 2 b)
(+ 2 (+ a b))
(+ 2 (+ b (* a (+ 1 (* 1/2 a)))))
(+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
b
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
b
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
1
(+ 1 b)
(+ 1 b)
(+ 1 b)
b
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 b)))
b
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 b)))
(/ 2 b)
(+ (* 2 (/ 1 b)) (/ a b))
(+ (* a (+ (* 1/2 (/ a b)) (/ 1 b))) (* 2 (/ 1 b)))
(+ (* a (+ (* a (+ (* 1/6 (/ a b)) (* 1/2 (/ 1 b)))) (/ 1 b))) (* 2 (/ 1 b)))
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(/ (+ 1 (exp a)) b)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/2 a)
(* a (+ 1/2 (* 1/6 a)))
(* a (+ 1/2 (* 1/6 a)))
(* a (+ 1/2 (* 1/6 a)))
(* 1/6 (pow a 2))
(* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))
(* 1/6 (pow a 2))
(* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))

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

eval95.0ms (0.8%)

Compiler: Compiled 16065 to 2072 computations (87.1% saved)

prune101.0ms (0.8%)

Pruning

31 alts after pruning (26 fresh and 5 done)

	Pruned	Kept	Total
New	817	13	830
Fresh	2	13	15
Picked	3	2	5
Done	0	3	3
Total	822	31	853

Accuracy

98.4%

Counts

853 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.1%	(/.f64 b (+.f64 #s(literal 2 binary64) a))
✓	53.8%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
▶	12.3%	(/.f64 b #s(literal 2 binary64))
	74.9%	(/.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)))))
	3.4%	(+.f64 (.f64 a (.f64 a (.f64 (.f64 b a) #s(literal 1/48 binary64)))) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))))
	45.4%	(+.f64 (.f64 #s(literal 1/2 binary64) b) (+.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a #s(literal 1/8 binary64)) (.f64 b #s(literal -1/4 binary64))))) (log.f64 #s(literal 2 binary64))))
▶	55.6%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)))
	55.4%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))))
	55.4%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
	45.3%	(+.f64 (log.f64 (+.f64 #s(literal 2 binary64) b)) (.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b)) (.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b)) (+.f64 #s(literal 2 binary64) b)))))))
	45.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64))))))))
	45.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
	45.7%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
▶	44.7%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
	5.4%	(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))
	51.0%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))))
▶	95.0%	(log1p.f64 (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (exp.f64 a)))
	93.5%	(log1p.f64 (+.f64 (exp.f64 a) b))
	43.4%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
	46.7%	(log1p.f64 (exp.f64 b))
✓	48.2%	(log1p.f64 (exp.f64 a))
✓	45.2%	(log1p.f64 #s(literal 1 binary64))
	51.0%	(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))))))))
▶	44.1%	(log.f64 (+.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 2 binary64) b)))
✓	50.5%	(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)))))))
✓	52.4%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	45.4%	(log.f64 (+.f64 #s(literal 2 binary64) (+.f64 b (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a))))))
	45.7%	(log.f64 (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))))
	45.5%	(log.f64 (+.f64 #s(literal 2 binary64) b))
	45.7%	(log.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
	49.7%	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) b)))))

Compiler

Compiled 758 to 543 computations (28.4% saved)

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

1376×	`fma-define`
1156×	`fma-lowering-fma.f32`
1156×	`fma-lowering-fma.f64`
1000×	`sum3-define`
846×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	154
1	77	138
2	199	134
3	465	134
4	1036	134
5	1824	134
6	2453	134
7	2468	134
0	2468	134

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize130.0ms (1%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
✓	accuracy	100.0%	(.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))
✓	accuracy	100.0%	(log.f64 (+.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 2 binary64) b)))
✓	accuracy	100.0%	(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/6 binary64))))
✓	accuracy	99.7%	(*.f64 a #s(literal 1/6 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) a)
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
✓	accuracy	100.0%	(/.f64 b #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 b #s(literal 1/2 binary64))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(log1p.f64 (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (exp.f64 a)))

Results

45.0ms	121×	0	valid
44.0ms	134×	0	invalid
2.0ms	1×	5	exit

Compiler

Compiled 165 to 29 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-add: 15.0ms (22.9% of total)

ival-mult: 13.0ms (19.8% of total)

ival-log: 12.0ms (18.3% of total)

compiled-spec: 11.0ms (16.8% of total)

ival-div: 6.0ms (9.2% of total)

...c/correct-round.rkt:119:19: 6.0ms (9.2% of total)

ival-exp: 2.0ms (3.1% of total)

const: 1.0ms (1.5% of total)

backward-pass: 1.0ms (1.5% of total)

series14.0ms (0.1%)

Counts

19 → 276

Calls

Call 1

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

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

Calls

69 calls:

Time	Variable		Point	Expression
5.0ms	a	@	0	(+ (log 2) (* 1/2 a))
1.0ms	b	@	0	(log (+ (* a (+ 1 (* a (+ 1/2 (* a 1/6))))) (+ 2 b)))
1.0ms	b	@	inf	(log (+ (* a (+ 1 (* a (+ 1/2 (* a 1/6))))) (+ 2 b)))
0.0ms	b	@	-inf	(log (+ (* a (+ 1 (* a (+ 1/2 (* a 1/6))))) (+ 2 b)))
0.0ms	b	@	0	(+ (* a (+ 1 (* a (+ 1/2 (* a 1/6))))) (+ 2 b))

rewrite361.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4504×	`-lowering-.f32`
4504×	`-lowering-.f64`
2816×	`+-lowering-+.f64`
2816×	`+-lowering-+.f32`
2468×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	122
1	213	107
2	2083	103
0	9448	103

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 445

Calls

Call 1

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

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

simplify285.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

4828×	`-lowering-.f32`
4828×	`-lowering-.f64`
4354×	`+-lowering-+.f64`
4354×	`+-lowering-+.f32`
1926×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	377	2753
1	1194	2369
2	4014	2329
0	8647	2329

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

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

eval384.0ms (3.1%)

Compiler: Compiled 20565 to 2060 computations (90% saved)

prune96.0ms (0.8%)

Pruning

33 alts after pruning (25 fresh and 8 done)

	Pruned	Kept	Total
New	727	11	738
Fresh	7	14	21
Picked	2	3	5
Done	0	5	5
Total	736	33	769

Accuracy

98.4%

Counts

769 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.1%	(/.f64 b (+.f64 #s(literal 2 binary64) a))
✓	53.8%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	12.3%	(/.f64 b #s(literal 2 binary64))
	52.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 (exp.f64 a)) (.f64 #s(literal -1/2 binary64) b)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (.f64 b b) #s(literal 4 binary64)))))
	12.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
	45.7%	(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	3.4%	(+.f64 (.f64 a (.f64 a (.f64 (.f64 b a) #s(literal 1/48 binary64)))) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))))
	45.4%	(+.f64 (.f64 #s(literal 1/2 binary64) b) (+.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a #s(literal 1/8 binary64)) (.f64 b #s(literal -1/4 binary64))))) (log.f64 #s(literal 2 binary64))))
	55.4%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))))
	37.9%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log.f64 (/.f64 b #s(literal 2 binary64)))))
	45.7%	(+.f64 (log1p.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)))
	45.3%	(+.f64 (log.f64 (+.f64 b #s(literal 2 binary64))) (.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 b #s(literal 2 binary64)) (+.f64 b #s(literal 2 binary64))))))))))
	45.4%	(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64))))))
	45.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64))))))))
	45.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
✓	44.7%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
	5.4%	(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))
	51.0%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))))
✓	95.0%	(log1p.f64 (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (exp.f64 a)))
	45.7%	(log1p.f64 (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
	93.5%	(log1p.f64 (+.f64 (exp.f64 a) b))
	43.4%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
	46.7%	(log1p.f64 (exp.f64 b))
✓	48.2%	(log1p.f64 (exp.f64 a))
✓	45.2%	(log1p.f64 #s(literal 1 binary64))
	44.1%	(log.f64 (+.f64 (+.f64 (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) b) #s(literal 2 binary64)))
	51.0%	(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))))))))
	45.4%	(log.f64 (+.f64 (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))) (+.f64 b #s(literal 2 binary64))))
✓	50.5%	(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)))))))
✓	52.4%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	45.5%	(log.f64 (+.f64 b #s(literal 2 binary64)))
	45.7%	(log.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
	49.7%	(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) b)))))

Compiler

Compiled 1001 to 507 computations (49.4% saved)

regimes85.0ms (0.7%)

Counts

52 → 1

Calls

Call 1

Inputs
(/.f64 b #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))
(+.f64 (.f64 a (.f64 a (.f64 (.f64 b a) #s(literal 1/48 binary64)))) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))))
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.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 (log1p.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)))
(log.f64 (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))))
(log1p.f64 (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) #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)))))
(log.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
(log.f64 (+.f64 #s(literal 2 binary64) (+.f64 b (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a))))))
(log.f64 (+.f64 (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))) (+.f64 b #s(literal 2 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 (.f64 b #s(literal 1/2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64))))))
(log.f64 (+.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 2 binary64) b)))
(log.f64 (+.f64 (+.f64 (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) b) #s(literal 2 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 a (.f64 a #s(literal -1/192 binary64))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) b) (+.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a #s(literal 1/8 binary64)) (.f64 b #s(literal -1/4 binary64))))) (log.f64 #s(literal 2 binary64))))
(+.f64 (log.f64 (+.f64 #s(literal 2 binary64) b)) (.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b)) (.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b)) (+.f64 #s(literal 2 binary64) b)))))))
(+.f64 (log.f64 (+.f64 b #s(literal 2 binary64))) (.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 b #s(literal 2 binary64)) (+.f64 b #s(literal 2 binary64))))))))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(log1p.f64 (+.f64 (exp.f64 a) b))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 b #s(literal 1 binary64))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)))
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) b)))))
(log1p.f64 (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
(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))))))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) (expm1.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log.f64 (/.f64 b #s(literal 2 binary64)))))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 (exp.f64 a)) (.f64 #s(literal -1/2 binary64) b)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (.f64 b b) #s(literal 4 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))))))
(/.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)))))

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

Calls

6 calls:

16.0ms	a
15.0ms	b
14.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
13.0ms	(exp.f64 a)
12.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
97.2%	1	`a`
97.2%	1	`b`
97.2%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
97.2%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
97.2%	1	`(exp.f64 a)`
97.2%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes70.0ms (0.6%)

Counts

43 → 2

Calls

Call 1

Inputs
(/.f64 b #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))
(+.f64 (.f64 a (.f64 a (.f64 (.f64 b a) #s(literal 1/48 binary64)))) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))))
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.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 (log1p.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)))
(log.f64 (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))))
(log1p.f64 (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) #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)))))
(log.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
(log.f64 (+.f64 #s(literal 2 binary64) (+.f64 b (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a))))))
(log.f64 (+.f64 (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))) (+.f64 b #s(literal 2 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 (.f64 b #s(literal 1/2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64))))))
(log.f64 (+.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 2 binary64) b)))
(log.f64 (+.f64 (+.f64 (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) b) #s(literal 2 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 a (.f64 a #s(literal -1/192 binary64))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) b) (+.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a #s(literal 1/8 binary64)) (.f64 b #s(literal -1/4 binary64))))) (log.f64 #s(literal 2 binary64))))
(+.f64 (log.f64 (+.f64 #s(literal 2 binary64) b)) (.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b)) (.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b)) (+.f64 #s(literal 2 binary64) b)))))))
(+.f64 (log.f64 (+.f64 b #s(literal 2 binary64))) (.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 b #s(literal 2 binary64)) (+.f64 b #s(literal 2 binary64))))))))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(log1p.f64 (+.f64 (exp.f64 a) b))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 b #s(literal 1 binary64))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)))
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) b)))))
(log1p.f64 (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
(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))))))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) (expm1.f64 a)))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
97.2%	2	`(exp.f64 a)`
97.2%	2	`a`
95.0%	1	`b`
95.0%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
95.0%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
95.0%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes25.0ms (0.2%)

Counts

36 → 2

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	(exp.f64 a)
11.0ms	a

Results

Accuracy	Segments	Branch
97.1%	2	`a`
97.1%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes21.0ms (0.2%)

Counts

34 → 2

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	a
8.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.0%	2	`a`
97.0%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes19.0ms (0.2%)

Counts

31 → 2

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	a
8.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
96.7%	2	`a`
96.7%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes27.0ms (0.2%)

Counts

28 → 2

Calls

Call 1

Inputs
(/.f64 b #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))
(+.f64 (.f64 a (.f64 a (.f64 (.f64 b a) #s(literal 1/48 binary64)))) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))))
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.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 (log1p.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)))
(log.f64 (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))))
(log1p.f64 (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) #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)))))
(log.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
(log.f64 (+.f64 #s(literal 2 binary64) (+.f64 b (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a))))))
(log.f64 (+.f64 (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))) (+.f64 b #s(literal 2 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 (.f64 b #s(literal 1/2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64))))))
(log.f64 (+.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 2 binary64) b)))
(log.f64 (+.f64 (+.f64 (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) b) #s(literal 2 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 a (.f64 a #s(literal -1/192 binary64))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) b) (+.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a #s(literal 1/8 binary64)) (.f64 b #s(literal -1/4 binary64))))) (log.f64 #s(literal 2 binary64))))
(+.f64 (log.f64 (+.f64 #s(literal 2 binary64) b)) (.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b)) (.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b)) (+.f64 #s(literal 2 binary64) b)))))))
(+.f64 (log.f64 (+.f64 b #s(literal 2 binary64))) (.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 b #s(literal 2 binary64)) (+.f64 b #s(literal 2 binary64))))))))))

Outputs

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

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

Calls

3 calls:

10.0ms	a
8.0ms	b
7.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
66.6%	3	`b`
95.6%	2	`a`
95.6%	2	`(exp.f64 a)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes17.0ms (0.1%)

Counts

25 → 2

Calls

Call 1

Inputs
(/.f64 b #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))
(+.f64 (.f64 a (.f64 a (.f64 (.f64 b a) #s(literal 1/48 binary64)))) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))))
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.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 (log1p.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)))
(log.f64 (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))))
(log1p.f64 (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) #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)))))
(log.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
(log.f64 (+.f64 #s(literal 2 binary64) (+.f64 b (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a))))))
(log.f64 (+.f64 (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))) (+.f64 b #s(literal 2 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 (.f64 b #s(literal 1/2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64))))))
(log.f64 (+.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 2 binary64) b)))
(log.f64 (+.f64 (+.f64 (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) b) #s(literal 2 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 a (.f64 a #s(literal -1/192 binary64))))))))

Outputs

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

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

Calls

2 calls:

8.0ms	a
7.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
95.6%	2	`a`
95.6%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes16.0ms (0.1%)

Counts

21 → 2

Calls

Call 1

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

Calls

2 calls:

7.0ms	a
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
95.1%	2	`a`
95.1%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes12.0ms (0.1%)

Counts

18 → 2

Calls

Call 1

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

Outputs
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+.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
95.1%	2	`a`
95.1%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes14.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	a
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
94.9%	2	`a`
94.9%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes9.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

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

Calls

2 calls:

4.0ms	a
4.0ms	b

Results

Accuracy	Segments	Branch
45.7%	1	`b`
53.3%	2	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
53.1%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

6 → 2

Calls

Call 1

Inputs
(/.f64 b #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
(/.f64 b (+.f64 #s(literal 2 binary64) a))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))
(+.f64 (.f64 a (.f64 a (.f64 (.f64 b a) #s(literal 1/48 binary64)))) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))))
(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
52.9%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes17.0ms (0.1%)

Accuracy

Total -5.7b remaining (-10.1%)

Threshold costs -5.7b (-10.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	a
2.0ms	b

Results

Accuracy	Segments	Branch
12.3%	1	`b`
12.3%	1	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch54.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
51.0ms	-4.3954963275174074e+55	-5.40600336129975e+50

Results

32.0ms	63×	2	valid
13.0ms	63×	1	valid
1.0ms	18×	0	valid

Compiler

Compiled 220 to 172 computations (21.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-log: 18.0ms (48.4% of total)

ival-exp: 14.0ms (37.7% of total)

backward-pass: 2.0ms (5.4% of total)

ival-add: 2.0ms (5.4% of total)

const: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.684244892557543e-60

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.684244892557543e-60

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch5.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.684244892557543e-60

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.684244892557543e-60

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.684244892557543e-60

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.684244892557543e-60

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.684244892557543e-60

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.684244892557543e-60

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch38.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
36.0ms	-467340.81331434444	-137.6337882512616

Results

23.0ms	98×	1	valid
8.0ms	20×	2	valid
1.0ms	10×	0	valid

Compiler

Compiled 133 to 114 computations (14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-exp: 13.0ms (52% of total)

ival-log: 9.0ms (36% of total)

backward-pass: 2.0ms (8% of total)

ival-add: 1.0ms (4% of total)

const: 0.0ms (0% of total)

bsearch52.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
50.0ms	-467340.81331434444	-137.6337882512616

Results

35.0ms	104×	1	valid
7.0ms	16×	2	valid
1.0ms	8×	0	valid

Compiler

Compiled 117 to 98 computations (16.2% saved)

Precisions

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

ival-exp: 9.0ms (44.2% of total)

ival-log: 8.0ms (39.3% of total)

backward-pass: 2.0ms (9.8% of total)

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

const: 0.0ms (0% of total)

bsearch35.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	-467340.81331434444	-137.6337882512616

Results

22.0ms	108×	1	valid
6.0ms	14×	2	valid
0.0ms	6×	0	valid

Compiler

Compiled 101 to 90 computations (10.9% saved)

Precisions

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

ival-log: 9.0ms (43.4% of total)

ival-exp: 8.0ms (38.6% of total)

backward-pass: 2.0ms (9.6% of total)

ival-add: 1.0ms (4.8% of total)

const: 0.0ms (0% of total)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

38×	`+-commutative_binary64`
16×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	232
1	101	232

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 a #s(literal -549999999999999979656171823587446975756351389564928 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (exp.f64 a))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (+.f64 (exp.f64 a) b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (.f64 #s(literal 1/2 binary64) b) (+.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a #s(literal 1/8 binary64)) (.f64 b #s(literal -1/4 binary64))))) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 b (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))
(if (<=.f64 a #s(literal -160 binary64)) (/.f64 b #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))
(if (<=.f64 a #s(literal -165 binary64)) (/.f64 b #s(literal 2 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) b)))
(if (<=.f64 a #s(literal -145 binary64)) (/.f64 b #s(literal 2 binary64)) (log1p.f64 #s(literal 1 binary64)))
(/.f64 b #s(literal 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 a #s(literal -549999999999999979656171823587446975756351389564928 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (exp.f64 a))))
(if (<=.f64 a #s(literal -549999999999999979656171823587446975756351389564928 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (+.f64 (exp.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (+.f64 (exp.f64 a) b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (+.f64 (exp.f64 a) b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (.f64 #s(literal 1/2 binary64) b) (+.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a #s(literal 1/8 binary64)) (.f64 b #s(literal -1/4 binary64))))) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (+.f64 (.f64 b #s(literal 1/2 binary64)) (+.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a #s(literal 1/8 binary64)) (.f64 b #s(literal -1/4 binary64))))) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 b (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 b (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64))))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -160 binary64)) (/.f64 b #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))
(if (<=.f64 a #s(literal -160 binary64)) (/.f64 b #s(literal 2 binary64)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -165 binary64)) (/.f64 b #s(literal 2 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) b)))
(if (<=.f64 a #s(literal -165 binary64)) (/.f64 b #s(literal 2 binary64)) (log.f64 (+.f64 b #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -145 binary64)) (/.f64 b #s(literal 2 binary64)) (log1p.f64 #s(literal 1 binary64)))
(/.f64 b #s(literal 2 binary64))

soundness2.1s (16.5%)

Rules

4828×	`-lowering-.f32`
4828×	`-lowering-.f64`
4600×	`+-lowering-+.f64`
4600×	`+-lowering-+.f32`
4588×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	377	2753
1	1194	2369
2	4014	2329
0	8647	2329
0	26	112
1	164	99
2	1718	97
0	9234	97
0	99	480
1	291	446
2	963	442
3	3348	440
0	8044	440
0	296	2108
1	914	1925
2	3164	1884
0	8611	1884
0	22	99
1	137	84
2	1337	78
0	8421	78
0	380	3081
1	1198	2653
2	4178	2606
0	9538	2606

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
1×	iter limit
1×	node limit

Compiler

Compiled 828 to 500 computations (39.6% saved)

preprocess88.0ms (0.7%)

Compiler: Compiled 576 to 208 computations (63.9% 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

analyze181.0ms (1.4%)

sample4.9s (38.7%)

preprocess20.0ms (0.2%)

explain143.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize83.0ms (0.7%)

series90.0ms (0.7%)

rewrite321.0ms (2.6%)

simplify237.0ms (1.9%)

eval44.0ms (0.3%)

prune34.0ms (0.3%)

simplify18.0ms (0.1%)

localize317.0ms (2.5%)

series263.0ms (2.1%)

rewrite366.0ms (2.9%)

simplify288.0ms (2.3%)

eval114.0ms (0.9%)

prune164.0ms (1.3%)

simplify46.0ms (0.4%)

localize118.0ms (0.9%)

series47.0ms (0.4%)

rewrite330.0ms (2.6%)

simplify228.0ms (1.8%)

eval95.0ms (0.8%)

prune101.0ms (0.8%)

simplify76.0ms (0.6%)

localize130.0ms (1%)

series14.0ms (0.1%)

rewrite361.0ms (2.9%)

simplify285.0ms (2.3%)

eval384.0ms (3.1%)

prune96.0ms (0.8%)

regimes85.0ms (0.7%)

regimes70.0ms (0.6%)

regimes25.0ms (0.2%)

regimes21.0ms (0.2%)

regimes19.0ms (0.2%)

regimes27.0ms (0.2%)

regimes17.0ms (0.1%)

regimes16.0ms (0.1%)

regimes12.0ms (0.1%)

regimes14.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes17.0ms (0.1%)

bsearch54.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch5.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch38.0ms (0.3%)

bsearch52.0ms (0.4%)

bsearch35.0ms (0.3%)

simplify12.0ms (0.1%)

soundness2.1s (16.5%)

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