Metrics for symmetry log of sum of exp

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze148.0ms (1.4%)

Memory

-6.3MiB live, 178.5MiB allocated; 43ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 8 to 8 computations (0% saved)

sample5.4s (49.5%)

Memory

166.7MiB live, 5 065.2MiB allocated; 1.4s collecting garbage

Samples

2.7s	7 579×	5	exit
925.0ms	1 640×	2	valid
502.0ms	2 310×	1	valid
299.0ms	4 306×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.6s

ival-log: 1.5s (41.3% of total)

ival-exp: 909.0ms (25.3% of total)

adjust: 885.0ms (24.7% of total)

ival-add: 291.0ms (8.1% of total)

ival-true: 13.0ms (0.4% of total)

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

Bogosity

explain158.0ms (1.5%)

Memory

-29.6MiB live, 159.1MiB allocated; 40ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	sensitivity	122	0
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	oflow-rescue	4	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	4
↳	`(exp.f64 a)`	overflow	1
↳	`(exp.f64 b)`	overflow	3

Confusion

	Predicted +	Predicted -
+	126	0
-	0	130

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	126	0	0
-	0	0	130

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	130
1	126

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

68.0ms	94×	2	valid
30.0ms	144×	1	valid
16.0ms	274×	0	valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-log: 55.0ms (58.2% of total)

ival-exp: 28.0ms (29.6% of total)

adjust: 7.0ms (7.4% of total)

ival-add: 4.0ms (4.2% of total)

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

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

preprocess433.0ms (4%)

Memory

-27.6MiB live, 156.0MiB allocated; 636ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	36	36
2	93	36
3	350	36
4	1728	36
5	6576	36
0	6	6
0	10	6
1	17	6
2	40	6
3	112	6
4	514	6
5	5054	6
0	8066	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort a b)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.8%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify131.0ms (1.2%)

Memory

11.7MiB live, 108.0MiB allocated; 46ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(exp.f64 b)
cost-diff	0	(exp.f64 a)
cost-diff	0	(+.f64 (exp.f64 a) (exp.f64 b))
cost-diff	0	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	17
1	17	17
2	40	17
3	112	17
4	514	17
5	5054	17
0	8066	17

Stop Event

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

Calls

Call 1

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

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

localize61.0ms (0.6%)

Memory

-22.9MiB live, 69.6MiB allocated; 12ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 b)
accuracy	0.0	(exp.f64 a)
accuracy	0.015625	(+.f64 (exp.f64 a) (exp.f64 b))
accuracy	28.905743765035705	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

27.0ms	47×	2	valid
19.0ms	72×	1	valid
8.0ms	137×	0	valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-log: 19.0ms (45.1% of total)

ival-exp: 18.0ms (42.7% of total)

adjust: 3.0ms (7.1% of total)

ival-add: 2.0ms (4.7% of total)

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

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

series86.0ms (0.8%)

Memory

-1.5MiB live, 95.8MiB allocated; 14ms collecting garbage

Counts

4 → 27

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
21.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
20.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
14.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
1.0ms	a	@	0	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))

simplify140.0ms (1.3%)

Memory

20.6MiB live, 111.3MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	370
1	317	370
2	1186	366
3	5037	366
0	8217	320

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

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

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

rewrite170.0ms (1.6%)

Memory

3.1MiB live, 186.7MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	10	15
1	30	15
2	225	15
3	2920	15
0	8678	15

Stop Event

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

Counts

4 → 263

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))))))
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(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))) (exp.f64 a))) (sqrt.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (exp.f64 a))) (sqrt.f64 (exp.f64 (neg.f64 a))))
(/.f64 (sqrt.f64 (.f64 (exp.f64 a) (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))))) (sqrt.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a)))))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 a) #s(literal 1 binary64))) (sqrt.f64 (exp.f64 (neg.f64 a))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 a) (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 a) (exp.f64 a)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (.f64 (cosh.f64 a) (exp.f64 a)) (.f64 (sinh.f64 a) (exp.f64 a)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 a) (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 a) (exp.f64 a)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 a) (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 a) (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 a) (exp.f64 a)) (*.f64 (sinh.f64 a) (exp.f64 a)))))))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))))) (sqrt.f64 (.f64 (exp.f64 (neg.f64 a)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) a)) (.f64 (sinh.f64 a) (cosh.f64 a))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) a)) (.f64 (sinh.f64 a) (cosh.f64 a))) (exp.f64 (neg.f64 a)))))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) a)) (.f64 (sinh.f64 a) (cosh.f64 a))))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (pow.f64 (cosh.f64 a) #s(literal 2 binary64))) (-.f64 (sinh.f64 a) (cosh.f64 a)))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 a) (*.f64 #s(literal 2 binary64) (cosh.f64 a))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 a) (sinh.f64 a) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (sinh.f64 a) (cosh.f64 a))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) a)) (.f64 (sinh.f64 a) (cosh.f64 a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 a))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 a)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (sinh.f64 a) (sinh.f64 a) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (sinh.f64 a) (cosh.f64 a))))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64)))) (fabs.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) a)) (.f64 (sinh.f64 a) (cosh.f64 a)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (neg.f64 a)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))) (fma.f64 (sinh.f64 a) (sinh.f64 a) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (sinh.f64 a) (cosh.f64 a)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) a)) (.f64 (sinh.f64 a) (cosh.f64 a))))
(sqrt.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (exp.f64 (neg.f64 a))) (/.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (exp.f64 (neg.f64 a))))
(-.f64 (cosh.f64 a) (sinh.f64 (neg.f64 a)))
(fabs.f64 (-.f64 (/.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (exp.f64 (neg.f64 a))) (/.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (exp.f64 (neg.f64 a)))))
(fabs.f64 (neg.f64 (neg.f64 (exp.f64 a))))
(fabs.f64 (neg.f64 (exp.f64 a)))
(fabs.f64 (exp.f64 a))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))
(exp.f64 (*.f64 a #s(literal 1 binary64)))
(exp.f64 a)
(+.f64 (/.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) a)) (.f64 (sinh.f64 a) (cosh.f64 a)))) (/.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) a)) (.f64 (sinh.f64 a) (cosh.f64 a)))))
(+.f64 (sinh.f64 a) (cosh.f64 a))
(+.f64 (cosh.f64 a) (sinh.f64 a))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (exp.f64 b)))) (sqrt.f64 (neg.f64 (neg.f64 (exp.f64 b)))))
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 b))) (sqrt.f64 (neg.f64 (exp.f64 b))))
(*.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)))
(pow.f64 (neg.f64 (exp.f64 b)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 b)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (pow.f64 (cosh.f64 b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sinh.f64 b) (cosh.f64 b))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 b) (*.f64 #s(literal 2 binary64) (cosh.f64 b)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 b)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 b))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 b))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) b)) (.f64 (sinh.f64 b) (cosh.f64 b))))))
(/.f64 (neg.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (neg.f64 (fabs.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) b)) (.f64 (sinh.f64 b) (cosh.f64 b))))))
(/.f64 (fabs.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (fabs.f64 (fabs.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) b)) (.f64 (sinh.f64 b) (cosh.f64 b))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (pow.f64 (cosh.f64 b) #s(literal 2 binary64)))) (exp.f64 (neg.f64 b)))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 b) (*.f64 #s(literal 2 binary64) (cosh.f64 b)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 b)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 b))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 b))))) #s(literal 4 binary64))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) (exp.f64 b))) (sqrt.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (exp.f64 b))) (sqrt.f64 (exp.f64 (neg.f64 b))))
(/.f64 (sqrt.f64 (.f64 (exp.f64 b) (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (sqrt.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 b) #s(literal 1 binary64))) (sqrt.f64 (exp.f64 (neg.f64 b))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 b) (exp.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 b) (exp.f64 b)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (.f64 (cosh.f64 b) (exp.f64 b)) (.f64 (sinh.f64 b) (exp.f64 b)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 b) (exp.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 b) (exp.f64 b)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 b) (exp.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 b) (exp.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 b) (exp.f64 b)) (*.f64 (sinh.f64 b) (exp.f64 b)))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) b)) (.f64 (sinh.f64 b) (cosh.f64 b))) (exp.f64 (neg.f64 b)))))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (sqrt.f64 (.f64 (exp.f64 (neg.f64 b)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) b)) (.f64 (sinh.f64 b) (cosh.f64 b))))))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) b)) (.f64 (sinh.f64 b) (cosh.f64 b))))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (pow.f64 (cosh.f64 b) #s(literal 2 binary64))) (-.f64 (sinh.f64 b) (cosh.f64 b)))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 b) (*.f64 #s(literal 2 binary64) (cosh.f64 b))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 b) (sinh.f64 b) (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (*.f64 (sinh.f64 b) (cosh.f64 b))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) b)) (.f64 (sinh.f64 b) (cosh.f64 b)))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 b)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 b)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 b)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (sinh.f64 b) (sinh.f64 b) (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (*.f64 (sinh.f64 b) (cosh.f64 b))))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))) (fabs.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) b)) (.f64 (sinh.f64 b) (cosh.f64 b)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (neg.f64 b)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) (fma.f64 (sinh.f64 b) (sinh.f64 b) (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) b)) (.f64 (sinh.f64 b) (cosh.f64 b))))
(sqrt.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (exp.f64 (neg.f64 b))) (/.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (exp.f64 (neg.f64 b))))
(-.f64 (cosh.f64 b) (sinh.f64 (neg.f64 b)))
(fabs.f64 (-.f64 (/.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (exp.f64 (neg.f64 b))) (/.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (exp.f64 (neg.f64 b)))))
(fabs.f64 (neg.f64 (neg.f64 (exp.f64 b))))
(fabs.f64 (neg.f64 (exp.f64 b)))
(fabs.f64 (exp.f64 b))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) #s(literal 2 binary64)))
(exp.f64 (*.f64 b #s(literal 1 binary64)))
(exp.f64 b)
(+.f64 (/.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) b)) (.f64 (sinh.f64 b) (cosh.f64 b)))) (/.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) b)) (.f64 (sinh.f64 b) (cosh.f64 b)))))
(+.f64 (sinh.f64 b) (cosh.f64 b))
(+.f64 (cosh.f64 b) (sinh.f64 b))

eval36.0ms (0.3%)

Memory: 15.8MiB live, 60.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 7 882 to 1 233 computations (84.4% saved)

prune20.0ms (0.2%)

Memory

-28.6MiB live, 26.4MiB allocated; 5ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	283	7	290
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	283	8	291

Accuracy

99.0%

Counts

291 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.8%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	54.0%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
▶	53.5%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
▶	51.2%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
	53.8%	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
▶	99.0%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
▶	51.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
▶	52.0%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))

Compiler

Compiled 184 to 154 computations (16.3% saved)

simplify99.0ms (0.9%)

Memory

38.4MiB live, 83.3MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	133
0	39	133
1	54	133
2	93	133
3	188	133
4	647	133
5	5736	133
0	8074	133

Stop Event

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

Calls

Call 1

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

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

localize122.0ms (1.1%)

Memory

-10.6MiB live, 132.1MiB allocated; 29ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 a)
accuracy	0.015625	(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
accuracy	1.922478262202412	#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
accuracy	28.905743765035705	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
accuracy	0.0	(exp.f64 b)
accuracy	0.015625	(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))
accuracy	28.905743765035705	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
accuracy	31.063013856629798	#s(approx (exp a) #s(literal 1 binary64))
accuracy	0.0	(exp.f64 b)
accuracy	0.9838385233859495	(log1p.f64 (exp.f64 b))
accuracy	30.266133642950297	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
accuracy	0.0	(exp.f64 a)
accuracy	0.00390625	(log1p.f64 (exp.f64 a))
accuracy	30.720982400186845	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
accuracy	0.00390625	(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy	0.00390625	(log1p.f64 (exp.f64 a))
accuracy	0.01171875	(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
accuracy	0.6093749401040017	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))

Samples

54.0ms	47×	2	valid
39.0ms	72×	1	valid
16.0ms	137×	0	valid

Compiler

Compiled 106 to 15 computations (85.8% saved)

Precisions

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

ival-log: 30.0ms (41.3% of total)

ival-exp: 14.0ms (19.3% of total)

adjust: 9.0ms (12.4% of total)

ival-log1p: 9.0ms (12.4% of total)

ival-add: 6.0ms (8.3% of total)

ival-div: 2.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series190.0ms (1.8%)

Memory

-18.7MiB live, 166.4MiB allocated; 22ms collecting garbage

Counts

16 → 48

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
95.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b))
43.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b))
23.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b))
22.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b))
4.0ms	b	@	0	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b))

simplify126.0ms (1.2%)

Memory

45.7MiB live, 135.0MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	622
1	610	599
2	2332	588
0	8405	504

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

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

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

rewrite278.0ms (2.6%)

Memory

-35.7MiB live, 192.5MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	111
0	39	111
1	139	111
2	1039	111
0	8233	111

Stop Event

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

Counts

16 → 277

Calls

Call 1

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

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

eval77.0ms (0.7%)

Memory: 43.0MiB live, 141.9MiB allocated; 12ms collecting garbage
Compiler: Compiled 16 142 to 1 922 computations (88.1% saved)

prune46.0ms (0.4%)

Memory

-1.4MiB live, 44.0MiB allocated; 3ms collecting garbage

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	460	13	473
Fresh	0	2	2
Picked	1	4	5
Done	0	1	1
Total	461	20	481

Accuracy

99.0%

Counts

481 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.8%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	54.0%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
✓	53.5%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
	53.8%	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
	60.4%	#s(approx (log (+ (exp a) (exp b))) (/.f64 (fma.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) (.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))))
▶	78.3%	#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #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)))))
✓	99.0%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
	51.3%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
	59.4%	#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
▶	51.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))
	52.0%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
✓	51.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	52.0%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
	51.0%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
	48.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
▶	50.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
	51.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
▶	49.5%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
	49.7%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
▶	49.5%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))

Compiler

Compiled 801 to 492 computations (38.6% saved)

simplify258.0ms (2.4%)

Memory

-33.7MiB live, 111.0MiB allocated; 28ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 (neg.f64 b))
cost-diff	0	(log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))
cost-diff	3	(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))
cost-diff	0	(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
cost-diff	0	#s(approx (exp a) #s(literal 1 binary64))
cost-diff	0	(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
cost-diff	0	(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #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)))))
cost-diff	15	(/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #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))))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	280
0	70	277
1	109	271
2	233	271
3	718	245
4	2555	241
0	9174	241

Stop Event

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

Calls

Call 1

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

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

localize174.0ms (1.6%)

Memory

31.5MiB live, 220.9MiB allocated; 14ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 (neg.f64 b))
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))
accuracy	0.9838385233859495	(log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))))
accuracy	30.266133642950297	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))
accuracy	0.07421875	(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
accuracy	0.10546875	(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
accuracy	30.720982400186845	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
accuracy	31.178051535346857	#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
accuracy	0.0	(log.f64 #s(literal 2 binary64))
accuracy	0.00390625	(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
accuracy	30.720982400186845	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
accuracy	31.20417060982806	#s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
accuracy	0.00390625	(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
accuracy	30.720982400186845	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
accuracy	31.063013856629798	#s(approx (exp a) #s(literal 1 binary64))
accuracy	0.015625	(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))
accuracy	0.49447250976844204	(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
accuracy	0.6093749401040017	#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #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)))))
accuracy	13.741972793639276	(/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #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))))

Samples

59.0ms	72×	1	valid
56.0ms	47×	2	valid
34.0ms	137×	0	valid

Compiler

Compiled 218 to 35 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

adjust: 21.0ms (18.8% of total)

ival-log: 21.0ms (18.8% of total)

ival-exp: 18.0ms (16.1% of total)

ival-mult: 12.0ms (10.7% of total)

ival-add: 10.0ms (8.9% of total)

ival-div: 7.0ms (6.3% of total)

ival-pow2: 7.0ms (6.3% of total)

ival-log1p: 6.0ms (5.4% of total)

const: 5.0ms (4.5% of total)

ival-sub: 3.0ms (2.7% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series149.0ms (1.4%)

Memory

-7.0MiB live, 179.8MiB allocated; 16ms collecting garbage

Counts

21 → 78

Calls

Call 1

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

Outputs
(/ (- (* 1/4 (pow b 2)) (pow (log 2) 2)) (- (* 1/2 b) (log 2)))
(- (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))
(- (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (+ (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* a (- (* -1 (/ (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))))))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))
(- (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (+ (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* a (- (+ (* -1 (/ (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))) (- (* 1/2 b) (log 2)))) (* a (- (* -1 (/ (+ 1/8 (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2))))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))))))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))
(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))))))
(- (* 1/4 (pow b 2)) (pow (log 2) 2))
(- (+ (* -1 (* a (+ (log 2) (* 1/4 (pow b 2))))) (* 1/4 (pow b 2))) (pow (log 2) 2))
(- (+ (* 1/4 (pow b 2)) (* a (- (* -1 (* a (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))))) (+ (log 2) (* 1/4 (pow b 2)))))) (pow (log 2) 2))
(- (+ (* 1/4 (pow b 2)) (* a (- (* a (- (* -1 (* a (+ 1/8 (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2))))))) (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))))) (+ (log 2) (* 1/4 (pow b 2)))))) (pow (log 2) 2))
(* 1/4 (pow b 2))
(+ (* -1/4 (* a (pow b 2))) (* 1/4 (pow b 2)))
(+ (* 1/4 (pow b 2)) (* a (- (* -1 (* a (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (* 1/4 (pow b 2)))))
(+ (* 1/4 (pow b 2)) (* a (- (* a (- (* -1 (* a (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (* 1/4 (pow b 2)))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
1/2
(+ 1/2 (* 1/8 a))
(+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))
(pow (log 2) 2)
(+ (* a (log 2)) (pow (log 2) 2))
(+ (* a (+ (log 2) (* a (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))
(+ (* a (+ (log 2) (* a (+ 1/4 (+ (* 1/8 a) (* 1/4 (log 2))))))) (pow (log 2) 2))
1/8
(+ 1/8 (* -1/192 (pow a 2)))
(/ (- (/ (pow b 2) (pow (+ 1 (exp a)) 2)) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))))
(log (+ (exp a) (exp b)))
(- (/ (pow b 2) (pow (+ 1 (exp a)) 2)) (pow (log (+ 1 (exp a))) 2))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(log (+ 1 (exp a)))
(exp a)
(* 1/2 a)
(* a (+ 1/2 (/ (log 2) a)))
(* -1/192 (pow a 4))
(* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192))
(* -1/192 (pow a 3))
(* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(pow (log (+ 1 (exp a))) 2)
(* -1/192 (pow a 2))
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))
(+ (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))))))
(* -1 (pow (log (+ 1 (exp a))) 2))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ (log 2) (* 1/2 b))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(+ 1 (* -1 b))
(+ 1 (* b (- (* 1/2 b) 1)))
(+ 1 (* b (- (* b (+ 1/2 (* -1/6 b))) 1)))
(/ b (+ 1 (exp a)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* (pow b 2) (+ (* -1 (/ (pow (log (+ 1 (exp a))) 2) (pow b 2))) (/ 1 (pow (+ 1 (exp a)) 2))))
(/ 1 (exp (neg b)))
(log (+ 1 (/ 1 (exp (neg b)))))
(exp (neg b))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(/ 1 (exp (* -1 b)))
(log (+ 1 (/ 1 (exp (* -1 b)))))
(exp (* -1 b))

Calls

6 calls:

Time	Variable		Point	Expression
67.0ms	b	@	inf	((/ (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (log (+ (exp a) (exp b))) (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (pow (/ b (+ 1 (exp a))) 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (/ 1 (exp (neg b))) (log (+ (exp a) (exp b))) (log (+ 1 (/ 1 (exp (neg b))))) (exp (neg b)) (pow (log (+ 1 (exp a))) 2) (+ (* (* a a) -1/192) 1/8))
31.0ms	b	@	-inf	((/ (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (log (+ (exp a) (exp b))) (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (pow (/ b (+ 1 (exp a))) 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (/ 1 (exp (neg b))) (log (+ (exp a) (exp b))) (log (+ 1 (/ 1 (exp (neg b))))) (exp (neg b)) (pow (log (+ 1 (exp a))) 2) (+ (* (* a a) -1/192) 1/8))
18.0ms	a	@	-inf	((/ (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (log (+ (exp a) (exp b))) (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (pow (/ b (+ 1 (exp a))) 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (/ 1 (exp (neg b))) (log (+ (exp a) (exp b))) (log (+ 1 (/ 1 (exp (neg b))))) (exp (neg b)) (pow (log (+ 1 (exp a))) 2) (+ (* (* a a) -1/192) 1/8))
17.0ms	a	@	inf	((/ (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (log (+ (exp a) (exp b))) (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (pow (/ b (+ 1 (exp a))) 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (/ 1 (exp (neg b))) (log (+ (exp a) (exp b))) (log (+ 1 (/ 1 (exp (neg b))))) (exp (neg b)) (pow (log (+ 1 (exp a))) 2) (+ (* (* a a) -1/192) 1/8))
9.0ms	a	@	0	((/ (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (log (+ (exp a) (exp b))) (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (pow (/ b (+ 1 (exp a))) 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (/ 1 (exp (neg b))) (log (+ (exp a) (exp b))) (log (+ 1 (/ 1 (exp (neg b))))) (exp (neg b)) (pow (log (+ 1 (exp a))) 2) (+ (* (* a a) -1/192) 1/8))

simplify152.0ms (1.4%)

Memory

7.6MiB live, 98.5MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	334	1677
1	1083	1592
2	4128	1541
0	8276	1407

Stop Event

1×	iter limit
1×	node limit

Counts

78 → 78

Calls

Call 1

Inputs
(/ (- (* 1/4 (pow b 2)) (pow (log 2) 2)) (- (* 1/2 b) (log 2)))
(- (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))
(- (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (+ (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* a (- (* -1 (/ (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))))))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))
(- (+ (* 1/4 (/ (pow b 2) (- (* 1/2 b) (log 2)))) (* a (- (+ (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* a (- (+ (* -1 (/ (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))) (- (* 1/2 b) (log 2)))) (* a (- (* -1 (/ (+ 1/8 (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2))))))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (+ (log 2) (* 1/4 (pow b 2))) (- (* 1/2 b) (log 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))))) (- (* 1/2 b) (log 2)))))))) (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (pow b 2)) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2)))))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))
(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))))))
(- (* 1/4 (pow b 2)) (pow (log 2) 2))
(- (+ (* -1 (* a (+ (log 2) (* 1/4 (pow b 2))))) (* 1/4 (pow b 2))) (pow (log 2) 2))
(- (+ (* 1/4 (pow b 2)) (* a (- (* -1 (* a (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))))) (+ (log 2) (* 1/4 (pow b 2)))))) (pow (log 2) 2))
(- (+ (* 1/4 (pow b 2)) (* a (- (* a (- (* -1 (* a (+ 1/8 (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2))))))) (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 3/16 (pow b 2)) (* 1/4 (log 2))))))) (+ (log 2) (* 1/4 (pow b 2)))))) (pow (log 2) 2))
(* 1/4 (pow b 2))
(+ (* -1/4 (* a (pow b 2))) (* 1/4 (pow b 2)))
(+ (* 1/4 (pow b 2)) (* a (- (* -1 (* a (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (* 1/4 (pow b 2)))))
(+ (* 1/4 (pow b 2)) (* a (- (* a (- (* -1 (* a (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (* 1/4 (pow b 2)))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
1/2
(+ 1/2 (* 1/8 a))
(+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))
(pow (log 2) 2)
(+ (* a (log 2)) (pow (log 2) 2))
(+ (* a (+ (log 2) (* a (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))
(+ (* a (+ (log 2) (* a (+ 1/4 (+ (* 1/8 a) (* 1/4 (log 2))))))) (pow (log 2) 2))
1/8
(+ 1/8 (* -1/192 (pow a 2)))
(/ (- (/ (pow b 2) (pow (+ 1 (exp a)) 2)) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))))
(log (+ (exp a) (exp b)))
(- (/ (pow b 2) (pow (+ 1 (exp a)) 2)) (pow (log (+ 1 (exp a))) 2))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(log (+ 1 (exp a)))
(exp a)
(* 1/2 a)
(* a (+ 1/2 (/ (log 2) a)))
(* -1/192 (pow a 4))
(* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192))
(* -1/192 (pow a 3))
(* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(pow (log (+ 1 (exp a))) 2)
(* -1/192 (pow a 2))
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))
(+ (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))))))
(* -1 (pow (log (+ 1 (exp a))) 2))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ (log 2) (* 1/2 b))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(+ 1 (* -1 b))
(+ 1 (* b (- (* 1/2 b) 1)))
(+ 1 (* b (- (* b (+ 1/2 (* -1/6 b))) 1)))
(/ b (+ 1 (exp a)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* (pow b 2) (+ (* -1 (/ (pow (log (+ 1 (exp a))) 2) (pow b 2))) (/ 1 (pow (+ 1 (exp a)) 2))))
(/ 1 (exp (neg b)))
(log (+ 1 (/ 1 (exp (neg b)))))
(exp (neg b))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(/ 1 (exp (* -1 b)))
(log (+ 1 (/ 1 (exp (* -1 b)))))
(exp (* -1 b))

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

rewrite167.0ms (1.5%)

Memory

-5.7MiB live, 176.3MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	233
0	70	230
1	245	194
2	1729	194
0	8119	194

Stop Event

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

Counts

21 → 334

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 4 binary64))) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 4 binary64))) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 4 binary64)))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) (.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))))))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64))) (neg.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))) (.f64 (neg.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) (neg.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) (pow.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) (.f64 (neg.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (neg.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (neg.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))) (.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (neg.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) (*.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (neg.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))))
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(-.f64 (/.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (fma.f64 (cosh.f64 b) (cosh.f64 b) (fma.f64 (sinh.f64 b) (sinh.f64 b) (.f64 (cosh.f64 b) (sinh.f64 b))))) (/.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (fma.f64 (cosh.f64 b) (cosh.f64 b) (fma.f64 (sinh.f64 b) (sinh.f64 b) (.f64 (cosh.f64 b) (sinh.f64 b))))))
(-.f64 (cosh.f64 b) (sinh.f64 b))
(exp.f64 (*.f64 b #s(literal -1 binary64)))
(exp.f64 (neg.f64 b))
(+.f64 (/.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (.f64 (cosh.f64 b) (sinh.f64 (neg.f64 b)))))) (/.f64 (neg.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64))) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (.f64 (cosh.f64 b) (sinh.f64 (neg.f64 b)))))))
(+.f64 (cosh.f64 b) (sinh.f64 (neg.f64 b)))
(+.f64 (sinh.f64 (neg.f64 b)) (cosh.f64 b))
(*.f64 (neg.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (neg.f64 (neg.f64 (log1p.f64 (exp.f64 a)))))
(*.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 a))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 a))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (neg.f64 (log1p.f64 (exp.f64 a))))
(*.f64 (log1p.f64 (exp.f64 a)) (log1p.f64 (exp.f64 a)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log1p.f64 (exp.f64 a))))
(pow.f64 (neg.f64 (log1p.f64 (exp.f64 a))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 a))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 a))) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 a))) #s(literal 2 binary64))) (cosh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 a))) #s(literal 2 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 a))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 a))) #s(literal 2 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 a))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 a))) #s(literal 2 binary64)))))))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 a))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 a))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 a))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 a))) #s(literal 2 binary64))))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) #s(literal -1/1536 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/512 binary64) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) #s(literal -1/1536 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) #s(literal -1/1536 binary64))))) (/.f64 (.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) #s(literal -1/1536 binary64))))) (-.f64 (.f64 (/.f64 #s(literal 1/512 binary64) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) #s(literal -1/1536 binary64))))) (/.f64 #s(literal 1/512 binary64) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) #s(literal -1/1536 binary64)))))) (.f64 (/.f64 (.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) #s(literal -1/1536 binary64))))) (/.f64 #s(literal 1/512 binary64) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) #s(literal -1/1536 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 a a)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/64 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal -1/192 binary64) (*.f64 a a)) #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) #s(literal -1/1536 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (-.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64))) (.f64 (-.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))) (.f64 (-.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64)) (-.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) #s(literal -1/1536 binary64)))) (.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) #s(literal -1/1536 binary64)))) #s(literal 1/512 binary64))) (.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) #s(literal -1/1536 binary64)))) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (*.f64 a a) #s(literal -1/1536 binary64))))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)))) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 a a))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/64 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -1/192 binary64) (*.f64 a a)) #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (.f64 (*.f64 a a) #s(literal -1/1536 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64))) (neg.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) #s(literal -1/1536 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/64 binary64)) (-.f64 (.f64 #s(literal -1/192 binary64) (*.f64 a a)) #s(literal 1/8 binary64)))
(/.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (.f64 (*.f64 a a) #s(literal -1/1536 binary64)))))
(/.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64)) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) #s(literal -1/1536 binary64)))))
(fma.f64 (*.f64 #s(literal -1/192 binary64) (neg.f64 a)) (neg.f64 a) #s(literal 1/8 binary64))
(fma.f64 (*.f64 #s(literal -1/192 binary64) a) a #s(literal 1/8 binary64))
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64))
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(fma.f64 a (*.f64 #s(literal -1/192 binary64) a) #s(literal 1/8 binary64))
(-.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))) (/.f64 (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 a a)))))
(-.f64 (/.f64 (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (-.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (-.f64 (.f64 #s(literal -1/192 binary64) (*.f64 a a)) #s(literal 1/8 binary64))))
(-.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 (.f64 a a)) #s(literal -1/192 binary64)))
(-.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 a) (.f64 #s(literal -1/192 binary64) a)))
(-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/192 binary64) (.f64 a a)))
(+.f64 (/.f64 #s(literal 1/512 binary64) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (.f64 (.f64 a a) #s(literal -1/1536 binary64))))) (/.f64 (.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64))) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (.f64 (*.f64 a a) #s(literal -1/1536 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64))) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (.f64 (.f64 a a) #s(literal -1/1536 binary64))))) (/.f64 #s(literal 1/512 binary64) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (.f64 (*.f64 a a) #s(literal -1/1536 binary64))))))
(+.f64 (/.f64 #s(literal 1/512 binary64) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) #s(literal -1/1536 binary64))))) (/.f64 (.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (*.f64 a a) #s(literal -1/1536 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) #s(literal -1/1536 binary64))))) (/.f64 #s(literal 1/512 binary64) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (*.f64 a a) #s(literal -1/1536 binary64))))))
(+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))

eval89.0ms (0.8%)

Memory: 16.1MiB live, 156.9MiB allocated; 40ms collecting garbage
Compiler: Compiled 17 399 to 2 089 computations (88% saved)

prune19.0ms (0.2%)

Memory

-0.9MiB live, 46.1MiB allocated; 3ms collecting garbage

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	397	10	407
Fresh	7	3	10
Picked	2	3	5
Done	4	1	5
Total	410	17	427

Accuracy

99.0%

Counts

427 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.7%	#s(approx (log (+ (exp a) (exp b))) (fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (log1p.f64 (exp.f64 a))))
	58.5%	#s(approx (log (+ (exp a) (exp b))) (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 4 binary64))) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
	53.9%	#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) (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)))))
▶	53.8%	#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) #s(literal 2 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
	52.0%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
▶	50.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b)))))
✓	52.0%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
	51.0%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (/ 1 (exp (neg b))) (+.f64 #s(literal 1 binary64) b))))
	48.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓	50.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
	51.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (/.f64 (-.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))))
	51.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
▶	51.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
✓	49.5%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
	49.7%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(approx (+ (* (* a a) -1/192) 1/8) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
✓	49.5%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
▶	2.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))

Compiler

Compiled 838 to 550 computations (34.4% saved)

simplify163.0ms (1.5%)

Memory

41.6MiB live, 216.2MiB allocated; 62ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) #s(literal 2 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) #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)))))
cost-diff	1	(exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) #s(literal 2 binary64)))
cost-diff	15	(/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) #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))))
cost-diff	0	#s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b)))
cost-diff	0	(log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b)))))
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) a)
cost-diff	0	#s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))
cost-diff	0	#s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a)))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
cost-diff	0	(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (log1p.f64 (exp.f64 a))))
cost-diff	8	(fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (log1p.f64 (exp.f64 a)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	348
0	77	300
1	116	300
2	212	298
3	555	298
4	2163	298
0	8961	295

Stop Event

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

Calls

Call 1

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

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

localize179.0ms (1.7%)

Memory

-9.0MiB live, 187.4MiB allocated; 56ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3828125	(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
accuracy	0.6093749401040017	#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) #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)))))
accuracy	2.4397931321937367	(exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) #s(literal 2 binary64)))
accuracy	5.906216411525575	(/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) #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))))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b)))
accuracy	0.9799322733859495	(log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))))
accuracy	1.632683533229609	#s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))
accuracy	15.557815328082576	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b)))))
accuracy	0.0	(log.f64 #s(literal 2 binary64))
accuracy	0.00390625	(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
accuracy	0.6093749401040017	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
accuracy	15.963620551283505	#s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) a)
accuracy	16.618575858865547	#s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a)))
accuracy	16.843637626697777	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
accuracy	24.32876791751974	#s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))
accuracy	0.00390625	(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
accuracy	0.00390625	(log1p.f64 (exp.f64 a))
accuracy	0.125	(fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (log1p.f64 (exp.f64 a)))
accuracy	0.6093749401040017	#s(approx (log (+ (exp a) (exp b))) (fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (log1p.f64 (exp.f64 a))))

Samples

44.0ms	19×	2	valid
35.0ms	90×	0	invalid
32.0ms	103×	0	valid
30.0ms	44×	1	valid

Compiler

Compiled 262 to 38 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-mult: 30.0ms (27.9% of total)

ival-exp: 16.0ms (14.9% of total)

ival-log: 16.0ms (14.9% of total)

adjust: 11.0ms (10.2% of total)

ival-add: 9.0ms (8.4% of total)

ival-div: 8.0ms (7.4% of total)

ival-sub: 5.0ms (4.7% of total)

ival-log1p: 5.0ms (4.7% of total)

ival-pow2: 3.0ms (2.8% of total)

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

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series228.0ms (2.1%)

Memory

-43.5MiB live, 250.0MiB allocated; 150ms collecting garbage

Counts

22 → 88

Calls

Call 1

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

Outputs
(+ (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 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))))))
(* (sqrt b) (sqrt 1/2))
(+ (* -1/8 (* (/ a (sqrt 1/2)) (sqrt b))) (* (sqrt b) (sqrt 1/2)))
(+ (* a (+ (* -1/2 (* (/ (* a (+ (* -1/8 b) (+ (* 1/64 (/ b (pow (sqrt 1/2) 2))) (* 1/8 b)))) (sqrt 1/2)) (sqrt (/ 1 b)))) (* -1/8 (* (sqrt b) (/ 1 (sqrt 1/2)))))) (* (sqrt b) (sqrt 1/2)))
(+ (* a (+ (* -1/8 (* (sqrt b) (/ 1 (sqrt 1/2)))) (* a (+ (* -1/2 (* (sqrt (/ 1 b)) (/ (+ (* -1/8 b) (+ (* 1/64 (/ b (pow (sqrt 1/2) 2))) (* 1/8 b))) (sqrt 1/2)))) (* -1/2 (* (/ (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (+ (* 1/24 b) (* 1/8 (/ (+ (* -1/8 b) (+ (* 1/64 (/ b (pow (sqrt 1/2) 2))) (* 1/8 b))) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 b)))))))) (* (sqrt b) (sqrt 1/2)))
(* 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))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(* 1/2 a)
(/ (- (exp (* 2 (- (log b) (log 2)))) (pow (log 2) 2)) (- (* 1/2 b) (log 2)))
(- (+ (* a (- (* -1 (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (exp (* 2 (- (log b) (log 2)))) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (/ (log 2) (- (* 1/2 b) (log 2)))))) (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))
(- (+ (* a (- (+ (* -1 (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (* a (- (* 1/4 (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (exp (* 2 (- (log b) (log 2)))) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (exp (* 2 (- (log b) (log 2)))) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (/ (log 2) (- (* 1/2 b) (log 2)))))) (- (* 1/2 b) (log 2)))) (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2)))))))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (exp (* 2 (- (log b) (log 2)))) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (/ (log 2) (- (* 1/2 b) (log 2)))))) (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))
(- (+ (* a (- (+ (* -1 (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (* a (- (+ (* 1/4 (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (* a (- (* 1/12 (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* -1 (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (exp (* 2 (- (log b) (log 2)))) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (/ (log 2) (- (* 1/2 b) (log 2)))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (exp (* 2 (- (log b) (log 2)))) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (exp (* 2 (- (log b) (log 2)))) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (/ (log 2) (- (* 1/2 b) (log 2)))))) (- (* 1/2 b) (log 2)))) (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2))))))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))) (- (exp (* 2 (- (log b) (log 2)))) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (* 1/8 (/ 1 (- (* 1/2 b) (log 2)))))))))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (exp (* 2 (- (log b) (log 2)))) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (exp (* 2 (- (log b) (log 2)))) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (/ (log 2) (- (* 1/2 b) (log 2)))))) (- (* 1/2 b) (log 2)))) (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2)))))))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (exp (* 2 (- (log b) (log 2)))) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (/ (log 2) (- (* 1/2 b) (log 2)))))) (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))
(exp (* 2 (- (log b) (log 2))))
(+ (exp (* 2 (- (log b) (log 2)))) (* -1 (* a (exp (* 2 (- (log b) (log 2)))))))
(+ (exp (* 2 (- (log b) (log 2)))) (* a (+ (* -1 (exp (* 2 (- (log b) (log 2))))) (* 1/4 (* a (exp (* 2 (- (log b) (log 2)))))))))
(+ (exp (* 2 (- (log b) (log 2)))) (* a (+ (* -1 (exp (* 2 (- (log b) (log 2))))) (* a (+ (* 1/12 (* a (exp (* 2 (- (log b) (log 2)))))) (* 1/4 (exp (* 2 (- (log b) (log 2))))))))))
(- (exp (* 2 (- (log b) (log 2)))) (pow (log 2) 2))
(- (+ (exp (* 2 (- (log b) (log 2)))) (* a (- (* -1 (exp (* 2 (- (log b) (log 2))))) (log 2)))) (pow (log 2) 2))
(- (+ (exp (* 2 (- (log b) (log 2)))) (* a (- (+ (* -1 (exp (* 2 (- (log b) (log 2))))) (* a (- (* 1/4 (exp (* 2 (- (log b) (log 2))))) (+ 1/4 (* 1/4 (log 2)))))) (log 2)))) (pow (log 2) 2))
(- (+ (exp (* 2 (- (log b) (log 2)))) (* a (- (+ (* -1 (exp (* 2 (- (log b) (log 2))))) (* a (- (+ (* 1/4 (exp (* 2 (- (log b) (log 2))))) (* a (- (* 1/12 (exp (* 2 (- (log b) (log 2))))) 1/8))) (+ 1/4 (* 1/4 (log 2)))))) (log 2)))) (pow (log 2) 2))
(pow (log 2) 2)
(+ (* a (log 2)) (pow (log 2) 2))
(+ (* a (+ (log 2) (* a (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))
(+ (* a (+ (log 2) (* a (+ 1/4 (+ (* 1/8 a) (* 1/4 (log 2))))))) (pow (log 2) 2))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(log (+ (exp a) (exp b)))
(sqrt (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(log (+ 1 (exp a)))
(* a (+ 1/2 (/ (log 2) a)))
(/ (- (exp (* 2 (- (log b) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))))
(exp (* 2 (- (log b) (log (+ 1 (exp a))))))
(- (exp (* 2 (- (log b) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2))
(pow (log (+ 1 (exp a))) 2)
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(+ (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 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (* -1 b))
(+ 1 (* b (- (* 1/2 b) 1)))
(+ 1 (* b (- (* b (+ 1/2 (* -1/6 b))) 1)))
(* -1 (/ (- (exp (* 2 (- (log b) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)) (log (+ 1 (exp a)))))
(+ (* -1 (/ (- (exp (* 2 (- (log b) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)) (log (+ 1 (exp a))))) (* b (- (/ 1 (+ 1 (exp a))) (/ (exp (* 2 (- (log b) (log (+ 1 (exp a)))))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))))
(+ (* -1 (/ (- (exp (* 2 (- (log b) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)) (log (+ 1 (exp a))))) (* b (- (+ (/ 1 (+ 1 (exp a))) (/ (* b (- (/ 1 (+ 1 (exp a))) (/ (exp (* 2 (- (log b) (log (+ 1 (exp a)))))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) (* (log (+ 1 (exp a))) (+ 1 (exp a))))) (/ (exp (* 2 (- (log b) (log (+ 1 (exp a)))))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))))
(+ (* -1 (/ (- (exp (* 2 (- (log b) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)) (log (+ 1 (exp a))))) (* b (- (+ (* b (- (/ (* b (- (/ 1 (+ 1 (exp a))) (/ (exp (* 2 (- (log b) (log (+ 1 (exp a)))))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 2))) (* -1 (/ (- (/ 1 (+ 1 (exp a))) (/ (exp (* 2 (- (log b) (log (+ 1 (exp a)))))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))))) (* (log (+ 1 (exp a))) (+ 1 (exp a))))))) (/ 1 (+ 1 (exp a)))) (/ (exp (* 2 (- (log b) (log (+ 1 (exp a)))))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (+ 1/2 (/ (log 2) b)))
(log (+ 1 (/ 1 (exp (neg b)))))
(/ 1 (exp (neg b)))
(exp (neg b))
(/ (* (+ 1 (exp a)) (- (exp (* 2 (- (* -1 (log (/ 1 b))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2))) b)
(/ (+ (* (+ 1 (exp a)) (- (exp (* 2 (- (* -1 (log (/ 1 b))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2))) (/ (* (log (+ 1 (exp a))) (* (pow (+ 1 (exp a)) 2) (- (exp (* 2 (- (* -1 (log (/ 1 b))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)))) b)) b)
(/ (- (+ (* (+ 1 (exp a)) (- (exp (* 2 (- (* -1 (log (/ 1 b))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2))) (/ (* (pow (log (+ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 3) (- (exp (* 2 (- (* -1 (log (/ 1 b))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)))) (pow b 2))) (* -1 (/ (* (log (+ 1 (exp a))) (* (pow (+ 1 (exp a)) 2) (- (exp (* 2 (- (* -1 (log (/ 1 b))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)))) b))) b)
(/ (- (+ (* (+ 1 (exp a)) (- (exp (* 2 (- (* -1 (log (/ 1 b))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2))) (/ (* (pow (log (+ 1 (exp a))) 3) (* (pow (+ 1 (exp a)) 4) (- (exp (* 2 (- (* -1 (log (/ 1 b))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)))) (pow b 3))) (+ (* -1 (/ (* (log (+ 1 (exp a))) (* (pow (+ 1 (exp a)) 2) (- (exp (* 2 (- (* -1 (log (/ 1 b))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)))) b)) (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 3) (- (exp (* 2 (- (* -1 (log (/ 1 b))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)))) (pow b 2))))) b)
(exp (* 2 (- (* -1 (log (/ 1 b))) (log (+ 1 (exp a))))))
(- (exp (* 2 (- (* -1 (log (/ 1 b))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2))
(* -1 (/ (* b (pow (sqrt -1) 2)) (+ 1 (exp a))))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (/ (pow (sqrt -1) 2) (+ 1 (exp a))))))
(* -1 (* (sqrt (/ b (+ 1 (exp a)))) (pow (sqrt -1) 2)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))
(log (+ 1 (/ 1 (exp (* -1 b)))))
(/ 1 (exp (* -1 b)))
(exp (* -1 b))
(/ (* (+ 1 (exp a)) (- (exp (* 2 (- (+ (log -1) (* -1 (log (/ -1 b)))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2))) b)
(* -1 (/ (+ (* -1 (* (+ 1 (exp a)) (- (exp (* 2 (- (+ (log -1) (* -1 (log (/ -1 b)))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)))) (* -1 (/ (* (log (+ 1 (exp a))) (* (pow (+ 1 (exp a)) 2) (- (exp (* 2 (- (+ (log -1) (* -1 (log (/ -1 b)))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)))) b))) b))
(* -1 (/ (+ (* -1 (* (+ 1 (exp a)) (- (exp (* 2 (- (+ (log -1) (* -1 (log (/ -1 b)))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)))) (* -1 (/ (+ (* (log (+ 1 (exp a))) (* (pow (+ 1 (exp a)) 2) (- (exp (* 2 (- (+ (log -1) (* -1 (log (/ -1 b)))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)))) (/ (* (pow (log (+ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 3) (- (exp (* 2 (- (+ (log -1) (* -1 (log (/ -1 b)))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)))) b)) b))) b))
(* -1 (/ (+ (* -1 (* (+ 1 (exp a)) (- (exp (* 2 (- (+ (log -1) (* -1 (log (/ -1 b)))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 3) (- (exp (* 2 (- (+ (log -1) (* -1 (log (/ -1 b)))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2))))) (* -1 (/ (* (pow (log (+ 1 (exp a))) 3) (* (pow (+ 1 (exp a)) 4) (- (exp (* 2 (- (+ (log -1) (* -1 (log (/ -1 b)))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)))) b))) b)) (* (log (+ 1 (exp a))) (* (pow (+ 1 (exp a)) 2) (- (exp (* 2 (- (+ (log -1) (* -1 (log (/ -1 b)))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2))))) b))) b))
(exp (* 2 (- (+ (log -1) (* -1 (log (/ -1 b)))) (log (+ 1 (exp a))))))
(- (exp (* 2 (- (+ (log -1) (* -1 (log (/ -1 b)))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2))

Calls

6 calls:

Time	Variable		Point	Expression
83.0ms	b	@	-inf	((+ (* (sqrt (/ b (+ (exp a) 1))) (sqrt (/ b (+ (exp a) 1)))) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (sqrt (/ b (+ (exp a) 1))) (/ b (+ (exp a) 1)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (* 1/2 a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (/ 1 (exp (neg b))))) (/ 1 (exp (neg b))) (exp (neg b)) (/ (- (exp (* (- (log b) (log (+ 1 (exp a)))) 2)) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (exp (* (- (log b) (log (+ 1 (exp a)))) 2)) (log (+ (exp a) (exp b))) (- (exp (* (- (log b) (log (+ 1 (exp a)))) 2)) (pow (log (+ 1 (exp a))) 2)) (log (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2))
35.0ms	b	@	inf	((+ (* (sqrt (/ b (+ (exp a) 1))) (sqrt (/ b (+ (exp a) 1)))) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (sqrt (/ b (+ (exp a) 1))) (/ b (+ (exp a) 1)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (* 1/2 a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (/ 1 (exp (neg b))))) (/ 1 (exp (neg b))) (exp (neg b)) (/ (- (exp (* (- (log b) (log (+ 1 (exp a)))) 2)) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (exp (* (- (log b) (log (+ 1 (exp a)))) 2)) (log (+ (exp a) (exp b))) (- (exp (* (- (log b) (log (+ 1 (exp a)))) 2)) (pow (log (+ 1 (exp a))) 2)) (log (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2))
30.0ms	b	@	0	((+ (* (sqrt (/ b (+ (exp a) 1))) (sqrt (/ b (+ (exp a) 1)))) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (sqrt (/ b (+ (exp a) 1))) (/ b (+ (exp a) 1)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (* 1/2 a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (/ 1 (exp (neg b))))) (/ 1 (exp (neg b))) (exp (neg b)) (/ (- (exp (* (- (log b) (log (+ 1 (exp a)))) 2)) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (exp (* (- (log b) (log (+ 1 (exp a)))) 2)) (log (+ (exp a) (exp b))) (- (exp (* (- (log b) (log (+ 1 (exp a)))) 2)) (pow (log (+ 1 (exp a))) 2)) (log (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2))
28.0ms	a	@	inf	((+ (* (sqrt (/ b (+ (exp a) 1))) (sqrt (/ b (+ (exp a) 1)))) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (sqrt (/ b (+ (exp a) 1))) (/ b (+ (exp a) 1)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (* 1/2 a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (/ 1 (exp (neg b))))) (/ 1 (exp (neg b))) (exp (neg b)) (/ (- (exp (* (- (log b) (log (+ 1 (exp a)))) 2)) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (exp (* (- (log b) (log (+ 1 (exp a)))) 2)) (log (+ (exp a) (exp b))) (- (exp (* (- (log b) (log (+ 1 (exp a)))) 2)) (pow (log (+ 1 (exp a))) 2)) (log (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2))
28.0ms	a	@	-inf	((+ (* (sqrt (/ b (+ (exp a) 1))) (sqrt (/ b (+ (exp a) 1)))) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (sqrt (/ b (+ (exp a) 1))) (/ b (+ (exp a) 1)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (* 1/2 a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (/ 1 (exp (neg b))))) (/ 1 (exp (neg b))) (exp (neg b)) (/ (- (exp (* (- (log b) (log (+ 1 (exp a)))) 2)) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (exp (* (- (log b) (log (+ 1 (exp a)))) 2)) (log (+ (exp a) (exp b))) (- (exp (* (- (log b) (log (+ 1 (exp a)))) 2)) (pow (log (+ 1 (exp a))) 2)) (log (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2))

simplify167.0ms (1.5%)

Memory

20.3MiB live, 164.3MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	472	3149
1	1547	2940
2	6028	2881
0	8266	2548

Stop Event

1×	iter limit
1×	node limit

Counts

88 → 88

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 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))))))
(* (sqrt b) (sqrt 1/2))
(+ (* -1/8 (* (/ a (sqrt 1/2)) (sqrt b))) (* (sqrt b) (sqrt 1/2)))
(+ (* a (+ (* -1/2 (* (/ (* a (+ (* -1/8 b) (+ (* 1/64 (/ b (pow (sqrt 1/2) 2))) (* 1/8 b)))) (sqrt 1/2)) (sqrt (/ 1 b)))) (* -1/8 (* (sqrt b) (/ 1 (sqrt 1/2)))))) (* (sqrt b) (sqrt 1/2)))
(+ (* a (+ (* -1/8 (* (sqrt b) (/ 1 (sqrt 1/2)))) (* a (+ (* -1/2 (* (sqrt (/ 1 b)) (/ (+ (* -1/8 b) (+ (* 1/64 (/ b (pow (sqrt 1/2) 2))) (* 1/8 b))) (sqrt 1/2)))) (* -1/2 (* (/ (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (+ (* 1/24 b) (* 1/8 (/ (+ (* -1/8 b) (+ (* 1/64 (/ b (pow (sqrt 1/2) 2))) (* 1/8 b))) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 b)))))))) (* (sqrt b) (sqrt 1/2)))
(* 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))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(* 1/2 a)
(/ (- (exp (* 2 (- (log b) (log 2)))) (pow (log 2) 2)) (- (* 1/2 b) (log 2)))
(- (+ (* a (- (* -1 (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (exp (* 2 (- (log b) (log 2)))) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (/ (log 2) (- (* 1/2 b) (log 2)))))) (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))
(- (+ (* a (- (+ (* -1 (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (* a (- (* 1/4 (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (exp (* 2 (- (log b) (log 2)))) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (exp (* 2 (- (log b) (log 2)))) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (/ (log 2) (- (* 1/2 b) (log 2)))))) (- (* 1/2 b) (log 2)))) (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2)))))))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (exp (* 2 (- (log b) (log 2)))) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (/ (log 2) (- (* 1/2 b) (log 2)))))) (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))
(- (+ (* a (- (+ (* -1 (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (* a (- (+ (* 1/4 (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (* a (- (* 1/12 (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* -1 (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (exp (* 2 (- (log b) (log 2)))) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (/ (log 2) (- (* 1/2 b) (log 2)))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* 1/4 (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (exp (* 2 (- (log b) (log 2)))) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (exp (* 2 (- (log b) (log 2)))) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (/ (log 2) (- (* 1/2 b) (log 2)))))) (- (* 1/2 b) (log 2)))) (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2))))))))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))) (- (exp (* 2 (- (log b) (log 2)))) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (* 1/8 (/ 1 (- (* 1/2 b) (log 2)))))))))) (+ (* -1 (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (exp (* 2 (- (log b) (log 2)))) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (* -1 (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (exp (* 2 (- (log b) (log 2)))) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (/ (log 2) (- (* 1/2 b) (log 2)))))) (- (* 1/2 b) (log 2)))) (+ (* 1/4 (/ 1 (- (* 1/2 b) (log 2)))) (* 1/4 (/ (log 2) (- (* 1/2 b) (log 2)))))))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 b)) (- (exp (* 2 (- (log b) (log 2)))) (pow (log 2) 2))) (pow (- (* 1/2 b) (log 2)) 2))) (/ (log 2) (- (* 1/2 b) (log 2)))))) (/ (exp (* 2 (- (log b) (log 2)))) (- (* 1/2 b) (log 2)))) (/ (pow (log 2) 2) (- (* 1/2 b) (log 2))))
(exp (* 2 (- (log b) (log 2))))
(+ (exp (* 2 (- (log b) (log 2)))) (* -1 (* a (exp (* 2 (- (log b) (log 2)))))))
(+ (exp (* 2 (- (log b) (log 2)))) (* a (+ (* -1 (exp (* 2 (- (log b) (log 2))))) (* 1/4 (* a (exp (* 2 (- (log b) (log 2)))))))))
(+ (exp (* 2 (- (log b) (log 2)))) (* a (+ (* -1 (exp (* 2 (- (log b) (log 2))))) (* a (+ (* 1/12 (* a (exp (* 2 (- (log b) (log 2)))))) (* 1/4 (exp (* 2 (- (log b) (log 2))))))))))
(- (exp (* 2 (- (log b) (log 2)))) (pow (log 2) 2))
(- (+ (exp (* 2 (- (log b) (log 2)))) (* a (- (* -1 (exp (* 2 (- (log b) (log 2))))) (log 2)))) (pow (log 2) 2))
(- (+ (exp (* 2 (- (log b) (log 2)))) (* a (- (+ (* -1 (exp (* 2 (- (log b) (log 2))))) (* a (- (* 1/4 (exp (* 2 (- (log b) (log 2))))) (+ 1/4 (* 1/4 (log 2)))))) (log 2)))) (pow (log 2) 2))
(- (+ (exp (* 2 (- (log b) (log 2)))) (* a (- (+ (* -1 (exp (* 2 (- (log b) (log 2))))) (* a (- (+ (* 1/4 (exp (* 2 (- (log b) (log 2))))) (* a (- (* 1/12 (exp (* 2 (- (log b) (log 2))))) 1/8))) (+ 1/4 (* 1/4 (log 2)))))) (log 2)))) (pow (log 2) 2))
(pow (log 2) 2)
(+ (* a (log 2)) (pow (log 2) 2))
(+ (* a (+ (log 2) (* a (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))
(+ (* a (+ (log 2) (* a (+ 1/4 (+ (* 1/8 a) (* 1/4 (log 2))))))) (pow (log 2) 2))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(log (+ (exp a) (exp b)))
(sqrt (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(log (+ 1 (exp a)))
(* a (+ 1/2 (/ (log 2) a)))
(/ (- (exp (* 2 (- (log b) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a)))))
(exp (* 2 (- (log b) (log (+ 1 (exp a))))))
(- (exp (* 2 (- (log b) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2))
(pow (log (+ 1 (exp a))) 2)
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(+ (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 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (* -1 b))
(+ 1 (* b (- (* 1/2 b) 1)))
(+ 1 (* b (- (* b (+ 1/2 (* -1/6 b))) 1)))
(* -1 (/ (- (exp (* 2 (- (log b) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)) (log (+ 1 (exp a)))))
(+ (* -1 (/ (- (exp (* 2 (- (log b) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)) (log (+ 1 (exp a))))) (* b (- (/ 1 (+ 1 (exp a))) (/ (exp (* 2 (- (log b) (log (+ 1 (exp a)))))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))))
(+ (* -1 (/ (- (exp (* 2 (- (log b) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)) (log (+ 1 (exp a))))) (* b (- (+ (/ 1 (+ 1 (exp a))) (/ (* b (- (/ 1 (+ 1 (exp a))) (/ (exp (* 2 (- (log b) (log (+ 1 (exp a)))))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) (* (log (+ 1 (exp a))) (+ 1 (exp a))))) (/ (exp (* 2 (- (log b) (log (+ 1 (exp a)))))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))))
(+ (* -1 (/ (- (exp (* 2 (- (log b) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)) (log (+ 1 (exp a))))) (* b (- (+ (* b (- (/ (* b (- (/ 1 (+ 1 (exp a))) (/ (exp (* 2 (- (log b) (log (+ 1 (exp a)))))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 2))) (* -1 (/ (- (/ 1 (+ 1 (exp a))) (/ (exp (* 2 (- (log b) (log (+ 1 (exp a)))))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))))) (* (log (+ 1 (exp a))) (+ 1 (exp a))))))) (/ 1 (+ 1 (exp a)))) (/ (exp (* 2 (- (log b) (log (+ 1 (exp a)))))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (+ 1/2 (/ (log 2) b)))
(log (+ 1 (/ 1 (exp (neg b)))))
(/ 1 (exp (neg b)))
(exp (neg b))
(/ (* (+ 1 (exp a)) (- (exp (* 2 (- (* -1 (log (/ 1 b))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2))) b)
(/ (+ (* (+ 1 (exp a)) (- (exp (* 2 (- (* -1 (log (/ 1 b))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2))) (/ (* (log (+ 1 (exp a))) (* (pow (+ 1 (exp a)) 2) (- (exp (* 2 (- (* -1 (log (/ 1 b))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)))) b)) b)
(/ (- (+ (* (+ 1 (exp a)) (- (exp (* 2 (- (* -1 (log (/ 1 b))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2))) (/ (* (pow (log (+ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 3) (- (exp (* 2 (- (* -1 (log (/ 1 b))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)))) (pow b 2))) (* -1 (/ (* (log (+ 1 (exp a))) (* (pow (+ 1 (exp a)) 2) (- (exp (* 2 (- (* -1 (log (/ 1 b))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)))) b))) b)
(/ (- (+ (* (+ 1 (exp a)) (- (exp (* 2 (- (* -1 (log (/ 1 b))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2))) (/ (* (pow (log (+ 1 (exp a))) 3) (* (pow (+ 1 (exp a)) 4) (- (exp (* 2 (- (* -1 (log (/ 1 b))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)))) (pow b 3))) (+ (* -1 (/ (* (log (+ 1 (exp a))) (* (pow (+ 1 (exp a)) 2) (- (exp (* 2 (- (* -1 (log (/ 1 b))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)))) b)) (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 3) (- (exp (* 2 (- (* -1 (log (/ 1 b))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)))) (pow b 2))))) b)
(exp (* 2 (- (* -1 (log (/ 1 b))) (log (+ 1 (exp a))))))
(- (exp (* 2 (- (* -1 (log (/ 1 b))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2))
(* -1 (/ (* b (pow (sqrt -1) 2)) (+ 1 (exp a))))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (/ (pow (sqrt -1) 2) (+ 1 (exp a))))))
(* -1 (* (sqrt (/ b (+ 1 (exp a)))) (pow (sqrt -1) 2)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))
(log (+ 1 (/ 1 (exp (* -1 b)))))
(/ 1 (exp (* -1 b)))
(exp (* -1 b))
(/ (* (+ 1 (exp a)) (- (exp (* 2 (- (+ (log -1) (* -1 (log (/ -1 b)))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2))) b)
(* -1 (/ (+ (* -1 (* (+ 1 (exp a)) (- (exp (* 2 (- (+ (log -1) (* -1 (log (/ -1 b)))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)))) (* -1 (/ (* (log (+ 1 (exp a))) (* (pow (+ 1 (exp a)) 2) (- (exp (* 2 (- (+ (log -1) (* -1 (log (/ -1 b)))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)))) b))) b))
(* -1 (/ (+ (* -1 (* (+ 1 (exp a)) (- (exp (* 2 (- (+ (log -1) (* -1 (log (/ -1 b)))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)))) (* -1 (/ (+ (* (log (+ 1 (exp a))) (* (pow (+ 1 (exp a)) 2) (- (exp (* 2 (- (+ (log -1) (* -1 (log (/ -1 b)))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)))) (/ (* (pow (log (+ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 3) (- (exp (* 2 (- (+ (log -1) (* -1 (log (/ -1 b)))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)))) b)) b))) b))
(* -1 (/ (+ (* -1 (* (+ 1 (exp a)) (- (exp (* 2 (- (+ (log -1) (* -1 (log (/ -1 b)))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (* (pow (+ 1 (exp a)) 3) (- (exp (* 2 (- (+ (log -1) (* -1 (log (/ -1 b)))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2))))) (* -1 (/ (* (pow (log (+ 1 (exp a))) 3) (* (pow (+ 1 (exp a)) 4) (- (exp (* 2 (- (+ (log -1) (* -1 (log (/ -1 b)))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2)))) b))) b)) (* (log (+ 1 (exp a))) (* (pow (+ 1 (exp a)) 2) (- (exp (* 2 (- (+ (log -1) (* -1 (log (/ -1 b)))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2))))) b))) b))
(exp (* 2 (- (+ (log -1) (* -1 (log (/ -1 b)))) (log (+ 1 (exp a))))))
(- (exp (* 2 (- (+ (log -1) (* -1 (log (/ -1 b)))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2))

Outputs
(+ (log 2) (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b (fma.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) a)) a #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b)))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b)))
(* (sqrt b) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 b))
(+ (* -1/8 (* (/ a (sqrt 1/2)) (sqrt b))) (* (sqrt b) (sqrt 1/2)))
(*.f64 (sqrt.f64 b) (fma.f64 (/.f64 a (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* a (+ (* -1/2 (* (/ (* a (+ (* -1/8 b) (+ (* 1/64 (/ b (pow (sqrt 1/2) 2))) (* 1/8 b)))) (sqrt 1/2)) (sqrt (/ 1 b)))) (* -1/8 (* (sqrt b) (/ 1 (sqrt 1/2)))))) (* (sqrt b) (sqrt 1/2)))
(fma.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (.f64 (fma.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1/64 binary64) #s(literal 0 binary64)) a)) #s(literal -1/2 binary64) (.f64 (sqrt.f64 b) #s(literal -1/8 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) a (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 b)))
(+ (* a (+ (* -1/8 (* (sqrt b) (/ 1 (sqrt 1/2)))) (* a (+ (* -1/2 (* (sqrt (/ 1 b)) (/ (+ (* -1/8 b) (+ (* 1/64 (/ b (pow (sqrt 1/2) 2))) (* 1/8 b))) (sqrt 1/2)))) (* -1/2 (* (/ (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (+ (* 1/24 b) (* 1/8 (/ (+ (* -1/8 b) (+ (* 1/64 (/ b (pow (sqrt 1/2) 2))) (* 1/8 b))) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 b)))))))) (* (sqrt b) (sqrt 1/2)))
(fma.f64 (sqrt.f64 b) (fma.f64 (/.f64 a (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 a a) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (/.f64 (+.f64 (fma.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1/64 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 #s(literal -1/48 binary64) b (fma.f64 (/.f64 (fma.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1/64 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1/8 binary64) #s(literal 0 binary64))) a)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b (.f64 #s(literal 0 binary64) a)) a (.f64 #s(literal 1/2 binary64) 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))))
(fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 a) (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64))) #s(literal 0 binary64)) a (.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(/ (- (exp (* 2 (- (log b) (log 2)))) (pow (log 2) 2)) (- (* 1/2 b) (log 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (log.f64 b) (log.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))
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(exp (* 2 (- (+ (log -1) (* -1 (log (/ -1 b)))) (log (+ 1 (exp a))))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b))) (log1p.f64 (exp.f64 a))))
(- (exp (* 2 (- (+ (log -1) (* -1 (log (/ -1 b)))) (log (+ 1 (exp a)))))) (pow (log (+ 1 (exp a))) 2))
(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b))) (log1p.f64 (exp.f64 a)))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))

rewrite177.0ms (1.6%)

Memory

-11.7MiB live, 221.7MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	284
0	77	236
1	265	234
2	1759	234
0	9179	231

Stop Event

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

Counts

22 → 472

Calls

Call 1

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

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

eval79.0ms (0.7%)

Memory: 38.0MiB live, 129.3MiB allocated; 5ms collecting garbage
Compiler: Compiled 27 856 to 2 788 computations (90% saved)

prune30.0ms (0.3%)

Memory

-37.9MiB live, 60.8MiB allocated; 6ms collecting garbage

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	649	6	655
Fresh	2	6	8
Picked	2	3	5
Done	0	4	4
Total	653	19	672

Accuracy

99.0%

Counts

672 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.6%	#s(approx (log (+ (exp a) (exp b))) (fma.f64 (pow.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (log1p.f64 (exp.f64 a))))
	55.1%	#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) b))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (log1p.f64 (exp.f64 a))))
	43.3%	#s(approx (log (+ (exp a) (exp b))) (fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (sqrt.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 (exp.f64 a))))
	53.8%	#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) #s(literal 1/2 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)))))
	53.8%	#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (+.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
	52.0%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
✓	50.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b)))))
✓	52.0%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
	51.0%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (/ 1 (exp (neg b))) (+.f64 #s(literal 1 binary64) b))))
	48.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓	50.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
	51.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (/.f64 (-.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))))
	51.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
	38.9%	#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (exp (* (- (log b) (log (+ 1 (exp a)))) 2)) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (log.f64 b) (log.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))))
✓	51.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
✓	49.5%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
	49.7%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(approx (+ (* (* a a) -1/192) 1/8) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
✓	49.5%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
✓	2.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))

Compiler

Compiled 1 556 to 588 computations (62.2% saved)

regimes49.0ms (0.4%)

Memory

26.7MiB live, 73.3MiB allocated; 2ms collecting garbage

Counts

37 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
99.0%	1	`(exp.f64 b)`
99.0%	1	`(exp.f64 a)`
99.0%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
99.0%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
99.0%	1	`a`
99.0%	1	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes32.0ms (0.3%)

Memory

3.5MiB live, 50.1MiB allocated; 1ms collecting garbage

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

6.0ms	b
6.0ms	a
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
60.9%	2	`(exp.f64 b)`
99.0%	2	`(exp.f64 a)`
98.3%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.3%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
99.0%	2	`a`
68.6%	3	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes9.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated; 0ms collecting garbage

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

5.0ms	a
3.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes22.0ms (0.2%)

Memory

-26.3MiB live, 24.4MiB allocated; 15ms collecting garbage

Counts

15 → 2

Calls

Call 1

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

Outputs

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

#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))

Calls

4 calls:

11.0ms	a
3.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.2%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
97.2%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.2%	2	`(exp.f64 a)`
98.2%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes7.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

4.0ms	a
3.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes16.0ms (0.1%)

Memory

-20.6MiB live, 26.4MiB allocated; 1ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	b
3.0ms	a
2.0ms	(exp.f64 b)
2.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
51.1%	1	`(exp.f64 b)`
51.1%	1	`b`
51.1%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
51.1%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
51.1%	1	`(exp.f64 a)`
51.1%	1	`a`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes12.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
51.0%	1	`(exp.f64 b)`
51.0%	1	`(exp.f64 a)`
51.0%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
51.0%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
51.0%	1	`a`
51.0%	1	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes8.0ms (0.1%)

Memory

16.3MiB live, 16.4MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))

#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))

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

Calls

6 calls:

2.0ms	a
1.0ms	b
1.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
1.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
50.3%	1	`(exp.f64 b)`
50.3%	1	`(exp.f64 a)`
50.3%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
50.3%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
50.3%	1	`b`
50.3%	1	`a`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes6.0ms (0.1%)

Memory

-35.2MiB live, 11.8MiB allocated; 1ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

2.0ms	b
1.0ms	a
1.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
1.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 17 to 21 computations (-23.5% saved)

bsearch31.0ms (0.3%)

Memory

36.6MiB live, 36.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	-104574.74964385292	-14.599327725590802

Samples

20.0ms	119×	1	valid
3.0ms	5×	2	valid
0.0ms	4×	0	valid

Compiler

Compiled 521 to 331 computations (36.5% saved)

Precisions

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

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

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

adjust: 3.0ms (15.6% of total)

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

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

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

bsearch19.0ms (0.2%)

Memory

-24.5MiB live, 22.2MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-104574.74964385292	-14.599327725590802

Samples

13.0ms	92×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 433 to 275 computations (36.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-exp: 3.0ms (32% of total)

ival-log: 3.0ms (32% of total)

adjust: 2.0ms (21.4% of total)

ival-add: 1.0ms (10.7% of total)

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

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

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-104574.74964385292	-14.599327725590802

Compiler

Compiled 433 to 275 computations (36.5% saved)

bsearch10.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-104574.74964385292	-14.599327725590802

Samples

6.0ms	46×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 553 to 347 computations (37.3% saved)

Precisions

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

ival-exp: 2.0ms (43.9% of total)

adjust: 1.0ms (22% of total)

ival-log: 1.0ms (22% of total)

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

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

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

simplify50.0ms (0.5%)

Memory

-8.3MiB live, 39.6MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	65	345
1	86	345
2	136	345
3	311	285
4	1028	277
5	6069	277

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -250 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))))
(if (<=.f64 a #s(literal -36 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(if (<=.f64 a #s(literal -250 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -29 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))

Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -250 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))))
(if (<=.f64 a #s(literal -36 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(if (<=.f64 a #s(literal -250 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -29 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -29 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (/ (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))

derivations770.0ms (7.1%)

Memory

18.2MiB live, 590.1MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	111
0	39	111
1	139	111
2	1039	111
0	8233	111
0	334	1677
1	1083	1592
2	4128	1541
0	8276	1407
0	99	370
1	317	370
2	1186	366
3	5037	366
0	8217	320
0	185	622
1	610	599
2	2332	588
0	8405	504

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

Compiler

Compiled 379 to 67 computations (82.3% saved)

preprocess77.0ms (0.7%)

Memory: -8.1MiB live, 83.7MiB allocated; 5ms collecting garbage
Compiler: Compiled 838 to 198 computations (76.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze148.0ms (1.4%)

sample5.4s (49.5%)

explain158.0ms (1.5%)

preprocess433.0ms (4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify131.0ms (1.2%)

localize61.0ms (0.6%)

series86.0ms (0.8%)

simplify140.0ms (1.3%)

rewrite170.0ms (1.6%)

eval36.0ms (0.3%)

prune20.0ms (0.2%)

simplify99.0ms (0.9%)

localize122.0ms (1.1%)

series190.0ms (1.8%)

simplify126.0ms (1.2%)

rewrite278.0ms (2.6%)

eval77.0ms (0.7%)

prune46.0ms (0.4%)

simplify258.0ms (2.4%)

localize174.0ms (1.6%)

series149.0ms (1.4%)

simplify152.0ms (1.4%)

rewrite167.0ms (1.5%)

eval89.0ms (0.8%)

prune19.0ms (0.2%)

simplify163.0ms (1.5%)

localize179.0ms (1.7%)

series228.0ms (2.1%)

simplify167.0ms (1.5%)

rewrite177.0ms (1.6%)

eval79.0ms (0.7%)

prune30.0ms (0.3%)

regimes49.0ms (0.4%)

regimes32.0ms (0.3%)

regimes9.0ms (0.1%)

regimes22.0ms (0.2%)

regimes7.0ms (0.1%)

regimes16.0ms (0.1%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch31.0ms (0.3%)

bsearch19.0ms (0.2%)

bsearch1.0ms (0%)

bsearch10.0ms (0.1%)

simplify50.0ms (0.5%)

derivations770.0ms (7.1%)

preprocess77.0ms (0.7%)

end0.0ms (0%)

Profiling