Metrics for symmetry log of sum of exp

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze140.0ms (1.2%)

Memory

-2.0MiB live, 181.7MiB allocated; 36ms 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)

sample5.8s (50.3%)

Memory

138.1MiB live, 5 382.5MiB allocated; 2.0s collecting garbage

Samples

2.5s	7 759×	5	exit
874.0ms	1 613×	2	valid
806.0ms	2 365×	1	valid
273.0ms	4 278×	0	valid

Precisions

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

ival-log: 1.2s (33.8% of total)

adjust: 1.1s (30.6% of total)

ival-exp: 934.0ms (26.2% of total)

ival-add: 312.0ms (8.8% of total)

ival-true: 14.0ms (0.4% of total)

ival-assert: 7.0ms (0.2% of total)

Bogosity

explain163.0ms (1.4%)

Memory

7.3MiB live, 158.9MiB allocated; 45ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
128	-	-	`(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	124	0
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	oflow-rescue	2	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	2
↳	`(exp.f64 a)`	overflow	1
↳	`(exp.f64 b)`	overflow	1
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	uflow-rescue	2	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	underflow	2
↳	`(exp.f64 a)`	underflow	64
↳	`(exp.f64 b)`	underflow	66

Confusion

	Predicted +	Predicted -
+	128	0
-	0	128

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	128	0	0
-	0	0	128

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	128
1	128

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

60.0ms	158×	1	valid
42.0ms	90×	2	valid
16.0ms	264×	0	valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-log: 61.0ms (62.9% of total)

ival-exp: 25.0ms (25.8% of total)

adjust: 7.0ms (7.2% of total)

ival-add: 4.0ms (4.1% of total)

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

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

preprocess169.0ms (1.5%)

Memory

12.9MiB live, 150.8MiB allocated; 16ms 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: 0.2MiB live, 0.2MiB 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
▶	53.3%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify108.0ms (0.9%)

Memory

1.5MiB live, 134.9MiB allocated; 16ms 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

localize60.0ms (0.5%)

Memory

6.5MiB live, 62.7MiB allocated; 5ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 b)
accuracy	0.0	(exp.f64 a)
accuracy	0.01953125	(+.f64 (exp.f64 a) (exp.f64 b))
accuracy	29.88003132311523	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

26.0ms	79×	1	valid
20.0ms	45×	2	valid
8.0ms	132×	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: 18.0ms (42.5% of total)

adjust: 11.0ms (26% of total)

ival-exp: 11.0ms (26% of total)

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

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

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

series82.0ms (0.7%)

Memory

-5.0MiB live, 84.6MiB allocated; 12ms 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
29.0ms	a	@	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))
17.0ms	b	@	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))

simplify136.0ms (1.2%)

Memory

-15.9MiB live, 119.4MiB allocated; 23ms 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)

rewrite175.0ms (1.5%)

Memory

40.8MiB live, 191.4MiB allocated; 31ms 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))

eval64.0ms (0.6%)

Memory: 0.4MiB live, 46.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 7 882 to 1 233 computations (84.4% saved)

prune23.0ms (0.2%)

Memory

-27.1MiB live, 18.6MiB allocated; 3ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	282	8	290
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	282	9	291

Accuracy

99.7%

Counts

291 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.8%	(+.f64 (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
✓	53.3%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	52.1%	(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)))))
	51.8%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
▶	50.5%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
▶	52.0%	(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)))))
▶	98.8%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
	50.5%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
▶	50.5%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))

Compiler

Compiled 250 to 180 computations (28% saved)

simplify117.0ms (1%)

Memory

-6.2MiB live, 131.8MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 (exp.f64 b) (exp.f64 a))
cost-diff	0	(fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))
cost-diff	0	(log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
cost-diff	0	(+.f64 (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
cost-diff	0	#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))))
cost-diff	0	(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)))))
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 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	32	257
0	55	257
1	82	257
2	179	257
3	618	257
4	2565	257
0	8911	257

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

localize243.0ms (2.1%)

Memory

40.8MiB live, 279.6MiB allocated; 17ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.1561094049896659	(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
accuracy	27.58433143297875	(-.f64 (exp.f64 b) (exp.f64 a))
accuracy	29.93039952672113	(log.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
accuracy	57.714047096561025	(log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
accuracy	0.01171875	(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy	1.9063880431276787	#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))))
accuracy	29.88003132311523	(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)))))
accuracy	0.0	(exp.f64 b)
accuracy	0.01953125	(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))
accuracy	29.88003132311523	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
accuracy	32.03407101392652	#s(approx (exp a) #s(literal 1 binary64))
accuracy	0.0	(log1p.f64 (exp.f64 a))
accuracy	0.0	(exp.f64 a)
accuracy	31.64890002173149	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
accuracy	0.0078125	(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
accuracy	0.0078125	(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
accuracy	0.01171875	(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy	0.7564839991350086	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))

Samples

132.0ms	181×	1	valid
84.0ms	64×	2	valid
2.0ms	11×	0	valid

Compiler

Compiled 231 to 28 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

ival-log: 76.0ms (41.3% of total)

adjust: 36.0ms (19.6% of total)

ival-exp: 30.0ms (16.3% of total)

ival-add: 18.0ms (9.8% of total)

ival-div: 7.0ms (3.8% of total)

ival-mult: 6.0ms (3.3% of total)

ival-pow2: 4.0ms (2.2% of total)

ival-log1p: 4.0ms (2.2% of total)

ival-sub: 2.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series442.0ms (3.9%)

Memory

10.7MiB live, 421.0MiB allocated; 73ms collecting garbage

Counts

21 → 110

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

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)))))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))
(+ (log (+ 1 (* (exp b) (- (exp b) 1)))) (log (/ (+ 1 (exp b)) (+ 1 (* (exp b) (- (exp b) 1))))))
(+ (log (+ 1 (* (exp b) (- (exp b) 1)))) (+ (log (/ (+ 1 (exp b)) (+ 1 (* (exp b) (- (exp b) 1))))) (* a (+ (* -1 (/ (exp b) (+ 1 (* (exp b) (- (exp b) 1))))) (+ (* 2 (/ 1 (+ 1 (* (exp b) (- (exp b) 1))))) (/ (* (+ 1 (* (exp b) (- (exp b) 1))) (- (/ 1 (+ 1 (* (exp b) (- (exp b) 1)))) (/ (* (+ 1 (exp b)) (+ 2 (* -1 (exp b)))) (pow (+ 1 (* (exp b) (- (exp b) 1))) 2)))) (+ 1 (exp b))))))))
(+ (log (+ 1 (* (exp b) (- (exp b) 1)))) (+ (log (/ (+ 1 (exp b)) (+ 1 (* (exp b) (- (exp b) 1))))) (* a (+ (* -1 (/ (exp b) (+ 1 (* (exp b) (- (exp b) 1))))) (+ (* 2 (/ 1 (+ 1 (* (exp b) (- (exp b) 1))))) (+ (* a (+ (* 1/2 (+ (* -1 (/ (* (pow (+ 1 (* (exp b) (- (exp b) 1))) 2) (pow (- (/ 1 (+ 1 (* (exp b) (- (exp b) 1)))) (/ (* (+ 1 (exp b)) (+ 2 (* -1 (exp b)))) (pow (+ 1 (* (exp b) (- (exp b) 1))) 2))) 2)) (pow (+ 1 (exp b)) 2))) (* 2 (/ (* (+ 1 (* (exp b) (- (exp b) 1))) (- (* 1/2 (/ 1 (+ 1 (* (exp b) (- (exp b) 1))))) (+ (/ (* (+ 1 (exp b)) (+ 2 (* -1/2 (exp b)))) (pow (+ 1 (* (exp b) (- (exp b) 1))) 2)) (/ (* (+ 2 (* -1 (exp b))) (- (/ 1 (+ 1 (* (exp b) (- (exp b) 1)))) (/ (* (+ 1 (exp b)) (+ 2 (* -1 (exp b)))) (pow (+ 1 (* (exp b) (- (exp b) 1))) 2)))) (+ 1 (* (exp b) (- (exp b) 1))))))) (+ 1 (exp b)))))) (* 1/2 (+ (* -1 (/ (pow (+ 2 (* -1 (exp b))) 2) (pow (+ 1 (* (exp b) (- (exp b) 1))) 2))) (* 2 (/ (+ 2 (* -1/2 (exp b))) (+ 1 (* (exp b) (- (exp b) 1))))))))) (/ (* (+ 1 (* (exp b) (- (exp b) 1))) (- (/ 1 (+ 1 (* (exp b) (- (exp b) 1)))) (/ (* (+ 1 (exp b)) (+ 2 (* -1 (exp b)))) (pow (+ 1 (* (exp b) (- (exp b) 1))) 2)))) (+ 1 (exp b)))))))))
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(- (+ 1 b) (exp a))
(- (+ 1 (* b (+ 1 (* 1/2 b)))) (exp a))
(- (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (exp a))
(log (/ (+ 1 (exp a)) (- (+ 1 (pow (exp a) 2)) (exp a))))
(+ (log (/ (+ 1 (exp a)) (- (+ 1 (pow (exp a) 2)) (exp a)))) (/ (* b (* (- (+ 1 (pow (exp a) 2)) (exp a)) (- (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (+ 1 (exp a)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2))))) (+ 1 (exp a))))
(+ (log (/ (+ 1 (exp a)) (- (+ 1 (pow (exp a) 2)) (exp a)))) (* b (+ (* 1/2 (* b (+ (* -1 (/ (* (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2) (pow (- (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (+ 1 (exp a)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2))) 2)) (pow (+ 1 (exp a)) 2))) (* 2 (/ (* (- (* 1/2 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (+ (/ (* (+ 1 (exp a)) (+ 3/2 (* 1/2 (- 1 (exp a))))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (/ (* (- 2 (exp a)) (- (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (+ 1 (exp a)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a))))) (- (+ 1 (pow (exp a) 2)) (exp a))) (+ 1 (exp a))))))) (/ (* (- (+ 1 (pow (exp a) 2)) (exp a)) (- (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (+ 1 (exp a)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (+ 1 (exp a))))))
(+ (log (/ (+ 1 (exp a)) (- (+ 1 (pow (exp a) 2)) (exp a)))) (* b (+ (* b (+ (* 1/6 (* b (+ (* -6 (/ (* (- (* 1/2 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (+ (/ (* (+ 1 (exp a)) (+ 3/2 (* 1/2 (- 1 (exp a))))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (/ (* (- 2 (exp a)) (- (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (+ 1 (exp a)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a))))) (* (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2) (- (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (+ 1 (exp a)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2))))) (pow (+ 1 (exp a)) 2))) (+ (* 2 (/ (* (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 3) (pow (- (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (+ 1 (exp a)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2))) 3)) (pow (+ 1 (exp a)) 3))) (* 6 (/ (* (- (* 1/6 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (+ (/ (* (+ 1 (exp a)) (+ 7/6 (* 1/6 (- 1 (exp a))))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (+ (/ (* (+ 3/2 (* 1/2 (- 1 (exp a)))) (- (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (+ 1 (exp a)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (- 2 (exp a)) (- (* 1/2 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (+ (/ (* (+ 1 (exp a)) (+ 3/2 (* 1/2 (- 1 (exp a))))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (/ (* (- 2 (exp a)) (- (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (+ 1 (exp a)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a)))))) (- (+ 1 (pow (exp a) 2)) (exp a)))))) (- (+ 1 (pow (exp a) 2)) (exp a))) (+ 1 (exp a)))))))) (* 1/2 (+ (* -1 (/ (* (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2) (pow (- (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (+ 1 (exp a)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2))) 2)) (pow (+ 1 (exp a)) 2))) (* 2 (/ (* (- (* 1/2 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (+ (/ (* (+ 1 (exp a)) (+ 3/2 (* 1/2 (- 1 (exp a))))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (/ (* (- 2 (exp a)) (- (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (+ 1 (exp a)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a))))) (- (+ 1 (pow (exp a) 2)) (exp a))) (+ 1 (exp a)))))))) (/ (* (- (+ 1 (pow (exp a) 2)) (exp a)) (- (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (+ 1 (exp a)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (+ 1 (exp a))))))
(/ (+ 1 (exp a)) (- (+ 1 (pow (exp a) 2)) (exp a)))
(+ (* b (- (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (+ 1 (exp a)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (exp a) (- (+ 1 (pow (exp a) 2)) (exp a)))))
(+ (* b (- (+ (* b (- (* 1/2 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (+ (/ (* (+ 1 (exp a)) (+ 3/2 (* 1/2 (- 1 (exp a))))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (/ (* (- 2 (exp a)) (- (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (+ 1 (exp a)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a)))))) (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (/ (* (+ 1 (exp a)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (exp a) (- (+ 1 (pow (exp a) 2)) (exp a)))))
(+ (* b (- (+ (* b (- (+ (* 1/2 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (* b (- (* 1/6 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (+ (/ (* (+ 1 (exp a)) (+ 7/6 (* 1/6 (- 1 (exp a))))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (+ (/ (* (+ 3/2 (* 1/2 (- 1 (exp a)))) (- (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (+ 1 (exp a)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (- 2 (exp a)) (- (* 1/2 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (+ (/ (* (+ 1 (exp a)) (+ 3/2 (* 1/2 (- 1 (exp a))))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (/ (* (- 2 (exp a)) (- (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (+ 1 (exp a)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a)))))) (- (+ 1 (pow (exp a) 2)) (exp a)))))))) (+ (/ (* (+ 1 (exp a)) (+ 3/2 (* 1/2 (- 1 (exp a))))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (/ (* (- 2 (exp a)) (- (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (+ 1 (exp a)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a)))))) (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (/ (* (+ 1 (exp a)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (exp a) (- (+ 1 (pow (exp a) 2)) (exp a)))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(exp b)
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2))))))
(* b (+ 1/2 (/ 1 b)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))

Calls

6 calls:

Time	Variable		Point	Expression
112.0ms	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))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (+ (* 1/2 b) 1) (+ (log (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2))) (log (/ (+ (exp b) (exp a)) (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2))))) (log (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2))) (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2)) (- (exp b) (exp a)) (log (/ (+ (exp b) (exp a)) (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2)))) (/ (+ (exp b) (exp a)) (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2))))
99.0ms	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))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (+ (* 1/2 b) 1) (+ (log (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2))) (log (/ (+ (exp b) (exp a)) (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2))))) (log (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2))) (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2)) (- (exp b) (exp a)) (log (/ (+ (exp b) (exp a)) (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2)))) (/ (+ (exp b) (exp a)) (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2))))
74.0ms	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))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (+ (* 1/2 b) 1) (+ (log (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2))) (log (/ (+ (exp b) (exp a)) (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2))))) (log (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2))) (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2)) (- (exp b) (exp a)) (log (/ (+ (exp b) (exp a)) (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2)))) (/ (+ (exp b) (exp a)) (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2))))
55.0ms	a	@	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))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (+ (* 1/2 b) 1) (+ (log (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2))) (log (/ (+ (exp b) (exp a)) (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2))))) (log (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2))) (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2)) (- (exp b) (exp a)) (log (/ (+ (exp b) (exp a)) (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2)))) (/ (+ (exp b) (exp a)) (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2))))
51.0ms	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))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (+ (* 1/2 b) 1) (+ (log (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2))) (log (/ (+ (exp b) (exp a)) (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2))))) (log (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2))) (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2)) (- (exp b) (exp a)) (log (/ (+ (exp b) (exp a)) (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2)))) (/ (+ (exp b) (exp a)) (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2))))

simplify269.0ms (2.4%)

Memory

13.7MiB live, 193.8MiB allocated; 28ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	578	7016
1	1986	6790
0	8322	5960

Stop Event

1×	iter limit
1×	node limit

Counts

110 → 110

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

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 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #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 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)) 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 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b))) 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 (-.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 b #s(literal -1/48 binary64) #s(literal 0 binary64)) a)) a (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b))) 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))))
(fma.f64 (fma.f64 #s(literal 0 binary64) a (.f64 #s(literal -1/4 binary64) b)) 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 b #s(literal -1/48 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) a (.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))
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)))
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 2 binary64) a))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (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))))) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (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 (+ 1 (* (exp b) (- (exp b) 1)))) (log (/ (+ 1 (exp b)) (+ 1 (* (exp b) (- (exp b) 1))))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64)))) (log1p.f64 (*.f64 (expm1.f64 b) (exp.f64 b))))
(+ (log (+ 1 (* (exp b) (- (exp b) 1)))) (+ (log (/ (+ 1 (exp b)) (+ 1 (* (exp b) (- (exp b) 1))))) (* a (+ (* -1 (/ (exp b) (+ 1 (* (exp b) (- (exp b) 1))))) (+ (* 2 (/ 1 (+ 1 (* (exp b) (- (exp b) 1))))) (/ (* (+ 1 (* (exp b) (- (exp b) 1))) (- (/ 1 (+ 1 (* (exp b) (- (exp b) 1)))) (/ (* (+ 1 (exp b)) (+ 2 (* -1 (exp b)))) (pow (+ 1 (* (exp b) (- (exp b) 1))) 2)))) (+ 1 (exp b))))))))
(fma.f64 (fma.f64 (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64))) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64)))) a (+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64)))) (log1p.f64 (.f64 (expm1.f64 b) (exp.f64 b)))))
(+ (log (+ 1 (* (exp b) (- (exp b) 1)))) (+ (log (/ (+ 1 (exp b)) (+ 1 (* (exp b) (- (exp b) 1))))) (* a (+ (* -1 (/ (exp b) (+ 1 (* (exp b) (- (exp b) 1))))) (+ (* 2 (/ 1 (+ 1 (* (exp b) (- (exp b) 1))))) (+ (* a (+ (* 1/2 (+ (* -1 (/ (* (pow (+ 1 (* (exp b) (- (exp b) 1))) 2) (pow (- (/ 1 (+ 1 (* (exp b) (- (exp b) 1)))) (/ (* (+ 1 (exp b)) (+ 2 (* -1 (exp b)))) (pow (+ 1 (* (exp b) (- (exp b) 1))) 2))) 2)) (pow (+ 1 (exp b)) 2))) (* 2 (/ (* (+ 1 (* (exp b) (- (exp b) 1))) (- (* 1/2 (/ 1 (+ 1 (* (exp b) (- (exp b) 1))))) (+ (/ (* (+ 1 (exp b)) (+ 2 (* -1/2 (exp b)))) (pow (+ 1 (* (exp b) (- (exp b) 1))) 2)) (/ (* (+ 2 (* -1 (exp b))) (- (/ 1 (+ 1 (* (exp b) (- (exp b) 1)))) (/ (* (+ 1 (exp b)) (+ 2 (* -1 (exp b)))) (pow (+ 1 (* (exp b) (- (exp b) 1))) 2)))) (+ 1 (* (exp b) (- (exp b) 1))))))) (+ 1 (exp b)))))) (* 1/2 (+ (* -1 (/ (pow (+ 2 (* -1 (exp b))) 2) (pow (+ 1 (* (exp b) (- (exp b) 1))) 2))) (* 2 (/ (+ 2 (* -1/2 (exp b))) (+ 1 (* (exp b) (- (exp b) 1))))))))) (/ (* (+ 1 (* (exp b) (- (exp b) 1))) (- (/ 1 (+ 1 (* (exp b) (- (exp b) 1)))) (/ (* (+ 1 (exp b)) (+ 2 (* -1 (exp b)))) (pow (+ 1 (* (exp b) (- (exp b) 1))) 2)))) (+ 1 (exp b)))))))))
(fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64))) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64))) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 b) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64))) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 b) #s(literal 2 binary64)) (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64))) #s(literal 2 binary64) (/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))))))) a (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64))) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) a (+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64)))) (log1p.f64 (.f64 (expm1.f64 b) (exp.f64 b)))))
(+ (log (+ 1 (* (exp b) (- (exp b) 1)))) (+ (log (/ (+ 1 (exp b)) (+ 1 (* (exp b) (- (exp b) 1))))) (* a (+ (* -1 (/ (exp b) (+ 1 (* (exp b) (- (exp b) 1))))) (+ (* 2 (/ 1 (+ 1 (* (exp b) (- (exp b) 1))))) (+ (* a (+ (* 1/2 (+ (* -1 (/ (* (pow (+ 1 (* (exp b) (- (exp b) 1))) 2) (pow (- (/ 1 (+ 1 (* (exp b) (- (exp b) 1)))) (/ (* (+ 1 (exp b)) (+ 2 (* -1 (exp b)))) (pow (+ 1 (* (exp b) (- (exp b) 1))) 2))) 2)) (pow (+ 1 (exp b)) 2))) (* 2 (/ (* (+ 1 (* (exp b) (- (exp b) 1))) (- (* 1/2 (/ 1 (+ 1 (* (exp b) (- (exp b) 1))))) (+ (/ (* (+ 1 (exp b)) (+ 2 (* -1/2 (exp b)))) (pow (+ 1 (* (exp b) (- (exp b) 1))) 2)) (/ (* (+ 2 (* -1 (exp b))) (- (/ 1 (+ 1 (* (exp b) (- (exp b) 1)))) (/ (* (+ 1 (exp b)) (+ 2 (* -1 (exp b)))) (pow (+ 1 (* (exp b) (- (exp b) 1))) 2)))) (+ 1 (* (exp b) (- (exp b) 1))))))) (+ 1 (exp b)))))) (+ (* 1/2 (+ (* -1 (/ (pow (+ 2 (* -1 (exp b))) 2) (pow (+ 1 (* (exp b) (- (exp b) 1))) 2))) (* 2 (/ (+ 2 (* -1/2 (exp b))) (+ 1 (* (exp b) (- (exp b) 1))))))) (* a (+ (* 1/6 (+ (* -6 (/ (* (+ 2 (* -1 (exp b))) (+ 2 (* -1/2 (exp b)))) (pow (+ 1 (* (exp b) (- (exp b) 1))) 2))) (+ (* 2 (/ (pow (+ 2 (* -1 (exp b))) 3) (pow (+ 1 (* (exp b) (- (exp b) 1))) 3))) (* 6 (/ (+ 4/3 (* -1/6 (exp b))) (+ 1 (* (exp b) (- (exp b) 1)))))))) (* 1/6 (+ (* -6 (/ (* (pow (+ 1 (* (exp b) (- (exp b) 1))) 2) (* (- (* 1/2 (/ 1 (+ 1 (* (exp b) (- (exp b) 1))))) (+ (/ (* (+ 1 (exp b)) (+ 2 (* -1/2 (exp b)))) (pow (+ 1 (* (exp b) (- (exp b) 1))) 2)) (/ (* (+ 2 (* -1 (exp b))) (- (/ 1 (+ 1 (* (exp b) (- (exp b) 1)))) (/ (* (+ 1 (exp b)) (+ 2 (* -1 (exp b)))) (pow (+ 1 (* (exp b) (- (exp b) 1))) 2)))) (+ 1 (* (exp b) (- (exp b) 1)))))) (- (/ 1 (+ 1 (* (exp b) (- (exp b) 1)))) (/ (* (+ 1 (exp b)) (+ 2 (* -1 (exp b)))) (pow (+ 1 (* (exp b) (- (exp b) 1))) 2))))) (pow (+ 1 (exp b)) 2))) (+ (* 2 (/ (* (pow (+ 1 (* (exp b) (- (exp b) 1))) 3) (pow (- (/ 1 (+ 1 (* (exp b) (- (exp b) 1)))) (/ (* (+ 1 (exp b)) (+ 2 (* -1 (exp b)))) (pow (+ 1 (* (exp b) (- (exp b) 1))) 2))) 3)) (pow (+ 1 (exp b)) 3))) (* 6 (/ (* (+ 1 (* (exp b) (- (exp b) 1))) (- (* 1/6 (/ 1 (+ 1 (* (exp b) (- (exp b) 1))))) (+ (/ (* (+ 1 (exp b)) (+ 4/3 (* -1/6 (exp b)))) (pow (+ 1 (* (exp b) (- (exp b) 1))) 2)) (+ (/ (* (+ 2 (* -1 (exp b))) (- (* 1/2 (/ 1 (+ 1 (* (exp b) (- (exp b) 1))))) (+ (/ (* (+ 1 (exp b)) (+ 2 (* -1/2 (exp b)))) (pow (+ 1 (* (exp b) (- (exp b) 1))) 2)) (/ (* (+ 2 (* -1 (exp b))) (- (/ 1 (+ 1 (* (exp b) (- (exp b) 1)))) (/ (* (+ 1 (exp b)) (+ 2 (* -1 (exp b)))) (pow (+ 1 (* (exp b) (- (exp b) 1))) 2)))) (+ 1 (* (exp b) (- (exp b) 1))))))) (+ 1 (* (exp b) (- (exp b) 1)))) (/ (* (+ 2 (* -1/2 (exp b))) (- (/ 1 (+ 1 (* (exp b) (- (exp b) 1)))) (/ (* (+ 1 (exp b)) (+ 2 (* -1 (exp b)))) (pow (+ 1 (* (exp b) (- (exp b) 1))) 2)))) (+ 1 (* (exp b) (- (exp b) 1)))))))) (+ 1 (exp b)))))))))))) (/ (* (+ 1 (* (exp b) (- (exp b) 1))) (- (/ 1 (+ 1 (* (exp b) (- (exp b) 1)))) (/ (* (+ 1 (exp b)) (+ 2 (* -1 (exp b)))) (pow (+ 1 (* (exp b) (- (exp b) 1))) 2)))) (+ 1 (exp b)))))))))
(fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64))) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (fma.f64 (.f64 #s(literal 6 binary64) (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (exp.f64 b) #s(literal 4/3 binary64)) (pow.f64 (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (expm1.f64 b) (exp.f64 b) #s(literal 1 binary64))) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (fma.f64 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(/ (+ 1 (exp a)) (- (+ 1 (pow (exp a) 2)) (exp a)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (+ 1 (exp a)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (exp a) (- (+ 1 (pow (exp a) 2)) (exp a)))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(+ (* b (- (+ (* b (- (* 1/2 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (+ (/ (* (+ 1 (exp a)) (+ 3/2 (* 1/2 (- 1 (exp a))))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (/ (* (- 2 (exp a)) (- (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (+ 1 (exp a)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a)))))) (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (/ (* (+ 1 (exp a)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (exp a) (- (+ 1 (pow (exp a) 2)) (exp a)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) b (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(+ (* b (- (+ (* b (- (+ (* 1/2 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (* b (- (* 1/6 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (+ (/ (* (+ 1 (exp a)) (+ 7/6 (* 1/6 (- 1 (exp a))))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (+ (/ (* (+ 3/2 (* 1/2 (- 1 (exp a)))) (- (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (+ 1 (exp a)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (- 2 (exp a)) (- (* 1/2 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (+ (/ (* (+ 1 (exp a)) (+ 3/2 (* 1/2 (- 1 (exp a))))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (/ (* (- 2 (exp a)) (- (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (+ 1 (exp a)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a)))))) (- (+ 1 (pow (exp a) 2)) (exp a)))))))) (+ (/ (* (+ 1 (exp a)) (+ 3/2 (* 1/2 (- 1 (exp a))))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (/ (* (- 2 (exp a)) (- (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (+ 1 (exp a)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a)))))) (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (/ (* (+ 1 (exp a)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (exp a) (- (+ 1 (pow (exp a) 2)) (exp a)))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1/6 binary64) #s(literal 7/6 binary64)) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) (-.f64 #s(literal 2 binary64) (exp.f64 a)) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))) b (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))))) b (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(exp b)
(exp.f64 b)
(* 1/2 (pow b 2))
(.f64 (.f64 b b) #s(literal 1/2 binary64))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2))))))
(.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (.f64 b b)) (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64))) (*.f64 b b))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* -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)))))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))
(.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64)) b) #s(literal 1 binary64)) b)) (.f64 b b))

rewrite244.0ms (2.1%)

Memory

11.6MiB live, 294.4MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	220
0	55	219
1	211	193
2	1771	193
0	9109	193

Stop Event

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

Counts

21 → 517

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

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 (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)))))
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(neg.f64 (/.f64 (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (-.f64 (.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (/.f64 (exp.f64 b) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b))) (pow.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 (exp.f64 b) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (exp.f64 b) (-.f64 (pow.f64 (.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (-.f64 (.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (exp.f64 b) (+.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b))) (pow.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 b) (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 (-.f64 (exp.f64 b) (exp.f64 a)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 (exp.f64 a) (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 (-.f64 (exp.f64 b) (exp.f64 a)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (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) (exp.f64 b))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 b) (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)) (+.f64 (pow.f64 (/.f64 (exp.f64 b) (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 (pow.f64 (/.f64 (exp.f64 a) (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 (/.f64 (exp.f64 b) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))))) (/.f64 (pow.f64 (/.f64 (exp.f64 a) (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)) (+.f64 (pow.f64 (/.f64 (exp.f64 b) (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 (pow.f64 (/.f64 (exp.f64 a) (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 (/.f64 (exp.f64 b) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))))))
(+.f64 (/.f64 (.f64 (exp.f64 b) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (pow.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 (.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (pow.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 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.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 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.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 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.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 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.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 (/.f64 (+.f64 (exp.f64 b) (cosh.f64 a)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (sinh.f64 a) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(+.f64 (/.f64 (+.f64 (exp.f64 a) (cosh.f64 b)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (sinh.f64 b) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 (/.f64 (exp.f64 b) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (.f64 (/.f64 (exp.f64 a) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (/.f64 (exp.f64 b) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(+.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(+.f64 (/.f64 (/.f64 (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)))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #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)))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (/.f64 (.f64 (neg.f64 (exp.f64 a)) (exp.f64 a)) (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (/.f64 (.f64 (neg.f64 (exp.f64 b)) (exp.f64 b)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
(+.f64 (/.f64 (cosh.f64 a) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (+.f64 (sinh.f64 a) (exp.f64 b)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(+.f64 (/.f64 (cosh.f64 b) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (+.f64 (sinh.f64 b) (exp.f64 a)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(+.f64 (/.f64 (exp.f64 a) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (exp.f64 b) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(+.f64 (/.f64 (exp.f64 b) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))

eval189.0ms (1.6%)

Memory: 7.7MiB live, 338.5MiB allocated; 67ms collecting garbage
Compiler: Compiled 58 186 to 4 831 computations (91.7% saved)

prune60.0ms (0.5%)

Memory

-20.2MiB live, 72.6MiB allocated; 5ms collecting garbage

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	1 168	15	1 183
Fresh	1	2	3
Picked	3	2	5
Done	0	1	1
Total	1 172	20	1 192

Accuracy

99.7%

Counts

1 192 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.7%	(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)))) (log.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) #s(approx (exp a) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)))))
✓	53.3%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	51.8%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
▶	49.5%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #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)))))
	49.7%	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))))))
	49.4%	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))
▶	2.4%	(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (.f64 (.f64 b b) #s(literal 1/2 binary64)))))
✓	98.8%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
	50.0%	#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)))))
▶	58.2%	#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))))
▶	50.5%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	50.5%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
	48.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
	47.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
▶	48.6%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
	49.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b))) 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 (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
	48.4%	#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)))))
	48.5%	#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)))))
	48.6%	#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 727 to 542 computations (25.4% saved)

simplify141.0ms (1.2%)

Memory

35.4MiB live, 124.6MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	250
0	59	250
1	92	250
2	199	250
3	583	250
4	1819	250
5	6145	250
0	8342	244

Stop Event

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

Calls

Call 1

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

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

localize196.0ms (1.7%)

Memory

-40.5MiB live, 196.0MiB allocated; 41ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 b)
accuracy	0.49191199454587636	(log1p.f64 (exp.f64 b))
accuracy	31.211675523437215	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
accuracy	0.01953125	(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #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))))
accuracy	1.8498443482809455	#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)))
accuracy	29.88003132311523	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #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)))))
accuracy	32.03407101392652	#s(approx (exp a) #s(literal 1 binary64))
accuracy	0.01171875	(.f64 (.f64 b b) #s(literal 1/2 binary64))
accuracy	1.9063880431276787	#s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (.f64 (.f64 b b) #s(literal 1/2 binary64))))
accuracy	29.88003132311523	(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (.f64 (.f64 b b) #s(literal 1/2 binary64)))))
accuracy	60.593177605785414	#s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (.f64 (.f64 b b) #s(literal 1/2 binary64)))
accuracy	0.0	(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
accuracy	31.64890002173149	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
accuracy	32.03407101392652	#s(approx (exp a) #s(literal 1 binary64))
accuracy	0.0	(exp.f64 a)
accuracy	0.0078125	(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))
accuracy	0.7564839991350086	#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))))
accuracy	26.96132633371684	#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))

Samples

74.0ms	45×	2	valid
61.0ms	79×	1	valid
26.0ms	132×	0	valid

Compiler

Compiled 146 to 28 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-log: 43.0ms (33.1% of total)

ival-add: 35.0ms (27% of total)

adjust: 17.0ms (13.1% of total)

ival-exp: 11.0ms (8.5% of total)

ival-mult: 10.0ms (7.7% of total)

ival-log1p: 7.0ms (5.4% of total)

const: 4.0ms (3.1% of total)

ival-div: 3.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series139.0ms (1.2%)

Memory

5.9MiB live, 166.4MiB allocated; 113ms collecting garbage

Counts

18 → 52

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
74.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (* b b) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (exp a))
29.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (* b b) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (exp a))
17.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (* b b) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (exp a))
13.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (* b b) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (exp a))
3.0ms	b	@	0	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (* b b) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (exp a))

simplify180.0ms (1.6%)

Memory

26.7MiB live, 208.4MiB allocated; 78ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	704
1	685	680
2	2671	663
0	8288	569

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 52

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

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

rewrite177.0ms (1.5%)

Memory

5.8MiB live, 189.2MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	208
0	59	208
1	224	208
2	1775	208
0	8188	202

Stop Event

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

Counts

18 → 139

Calls

Call 1

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

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

eval27.0ms (0.2%)

Memory: -2.5MiB live, 43.0MiB allocated; 6ms collecting garbage
Compiler: Compiled 7 391 to 875 computations (88.2% saved)

prune17.0ms (0.1%)

Memory

-16.3MiB live, 31.1MiB allocated; 2ms collecting garbage

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	188	5	193
Fresh	3	9	12
Picked	1	4	5
Done	0	3	3
Total	192	21	213

Accuracy

99.7%

Counts

213 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.3%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶	51.8%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
✓	49.5%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #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)))))
	49.4%	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))
▶	2.4%	(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (.f64 (.f64 #s(literal 1/2 binary64) b) b))))
	49.7%	#s(approx (log (+ (exp a) (exp b))) (-.f64 (log1p.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (log.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))))))
✓	98.8%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
	50.0%	#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)))))
✓	58.2%	#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))))
✓	50.5%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	50.5%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
▶	48.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
▶	47.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓	48.6%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
	49.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (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))))))
	49.5%	#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)))))
▶	49.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (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)))))
	49.5%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
	48.4%	#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)))))
	48.5%	#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)))))
	48.6%	#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 693 to 529 computations (23.7% saved)

simplify128.0ms (1.1%)

Memory

11.9MiB live, 155.6MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	278
0	69	278
1	110	278
2	248	278
3	764	278
4	2377	278
5	6860	278
0	9055	268

Stop Event

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

Calls

Call 1

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

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

localize184.0ms (1.6%)

Memory

13.5MiB live, 206.1MiB allocated; 43ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
accuracy	0.01953125	(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)))
accuracy	1.8382254643419773	#s(approx (log (+ 1 (exp b))) (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))))
accuracy	31.211675523437215	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (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)))))
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
accuracy	0.0	(log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))))
accuracy	31.64890002173149	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
accuracy	31.812739268286077	#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) b)
accuracy	1.9063880431276787	#s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (.f64 (.f64 #s(literal 1/2 binary64) b) b)))
accuracy	29.88003132311523	(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (.f64 (.f64 #s(literal 1/2 binary64) b) b))))
accuracy	60.593177605785414	#s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (.f64 (.f64 #s(literal 1/2 binary64) b) b))
accuracy	0.0	(+.f64 #s(literal 1 binary64) a)
accuracy	0.0	(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))
accuracy	31.64890002173149	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
accuracy	31.8327750677577	#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
accuracy	0.0	(exp.f64 a)
accuracy	0.01953125	(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
accuracy	2.0172872470009136	#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
accuracy	29.88003132311523	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))

Samples

69.0ms	132×	0	valid
47.0ms	45×	2	valid
46.0ms	79×	1	valid

Compiler

Compiled 159 to 35 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

adjust: 24.0ms (24.3% of total)

ival-log: 22.0ms (22.2% of total)

ival-add: 16.0ms (16.2% of total)

ival-mult: 14.0ms (14.2% of total)

ival-exp: 12.0ms (12.1% of total)

ival-log1p: 7.0ms (7.1% of total)

const: 4.0ms (4% of total)

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

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

exact: 0.0ms (0% of total)

series64.0ms (0.6%)

Memory

-35.2MiB live, 106.8MiB allocated; 10ms collecting garbage

Counts

23 → 68

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (* 1/2 b) b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) (* 1/2 b) (+ (* 1/2 a) 1) (+ (* (* b b) -1/192) 1/8))
16.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (* 1/2 b) b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) (* 1/2 b) (+ (* 1/2 a) 1) (+ (* (* b b) -1/192) 1/8))
15.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (* 1/2 b) b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) (* 1/2 b) (+ (* 1/2 a) 1) (+ (* (* b b) -1/192) 1/8))
14.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (* 1/2 b) b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) (* 1/2 b) (+ (* 1/2 a) 1) (+ (* (* b b) -1/192) 1/8))
1.0ms	b	@	0	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (* 1/2 b) b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) (* 1/2 b) (+ (* 1/2 a) 1) (+ (* (* b b) -1/192) 1/8))

simplify147.0ms (1.3%)

Memory

23.9MiB live, 158.1MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	771
1	653	761
2	2405	750
0	8957	668

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 67

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

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

rewrite207.0ms (1.8%)

Memory

8.7MiB live, 251.7MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	255
0	69	255
1	273	255
2	2096	255
0	9038	245

Stop Event

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

Counts

23 → 255

Calls

Call 1

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

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

eval43.0ms (0.4%)

Memory: -20.0MiB live, 71.4MiB allocated; 5ms collecting garbage
Compiler: Compiled 12 097 to 1 686 computations (86.1% saved)

prune24.0ms (0.2%)

Memory

-0.0MiB live, 46.8MiB allocated; 2ms collecting garbage

Pruning

25 alts after pruning (13 fresh and 12 done)

	Pruned	Kept	Total
New	312	7	319
Fresh	3	6	9
Picked	0	5	5
Done	0	7	7
Total	315	25	340

Accuracy

99.7%

Counts

340 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.3%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
✓	51.8%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
	48.2%	(log.f64 (+.f64 #s(approx (exp 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))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
	49.5%	(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
✓	49.5%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #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)))))
	49.4%	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))
✓	2.4%	(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (.f64 (.f64 #s(literal 1/2 binary64) b) b))))
✓	98.8%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
	50.0%	#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)))))
✓	58.2%	#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))))
✓	50.5%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	50.5%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
✓	48.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
✓	47.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
	3.7%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))))))
✓	48.6%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
	49.5%	#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)))))
✓	49.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (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)))))
	49.5%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(approx (+ (* (* b b) -1/192) 1/8) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
	4.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1/192 binary64)))))
	12.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) (.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64)) b) #s(literal -1 binary64) #s(literal 1/8 binary64)) (.f64 b b)) #s(literal 1/192 binary64)) (pow.f64 b #s(literal 4 binary64))))))
	4.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) (*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) b) b) #s(literal 1/192 binary64)) (pow.f64 b #s(literal 4 binary64))))))
	48.4%	#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)))))
	48.5%	#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)))))
	48.6%	#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 1 352 to 636 computations (53% saved)

regimes54.0ms (0.5%)

Memory

23.3MiB live, 73.9MiB allocated; 12ms collecting garbage

Counts

36 → 1

Calls

Call 1

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

13.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
9.0ms	a
9.0ms	b
7.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes44.0ms (0.4%)

Memory

19.7MiB live, 66.4MiB allocated; 1ms collecting garbage

Counts

32 → 1

Calls

Call 1

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

Outputs
#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:

9.0ms	a
8.0ms	b
6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
6.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
58.2%	1	`(exp.f64 b)`
58.2%	1	`(exp.f64 a)`
58.2%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
58.2%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
58.2%	1	`a`
58.2%	1	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes40.0ms (0.4%)

Memory

-24.3MiB live, 67.7MiB allocated; 5ms collecting garbage

Counts

26 → 1

Calls

Call 1

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

Calls

6 calls:

10.0ms	b
7.0ms	a
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(exp.f64 a)
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
51.8%	1	`(exp.f64 b)`
51.8%	1	`b`
51.8%	1	`(exp.f64 a)`
51.8%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
51.8%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
51.8%	1	`a`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes40.0ms (0.4%)

Memory

15.3MiB live, 64.1MiB allocated; 7ms collecting garbage

Counts

25 → 2

Calls

Call 1

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

Calls

6 calls:

10.0ms	(exp.f64 b)
7.0ms	b
7.0ms	a
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
50.5%	1	`(exp.f64 a)`
50.5%	1	`a`
52.8%	2	`b`
52.5%	2	`(exp.f64 b)`
52.5%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
52.5%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes39.0ms (0.3%)

Memory

-31.3MiB live, 61.4MiB allocated; 8ms collecting garbage

Counts

23 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
50.5%	1	`(exp.f64 a)`
50.5%	1	`a`
50.5%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
50.5%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
50.5%	1	`(exp.f64 b)`
50.5%	1	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes32.0ms (0.3%)

Memory

11.1MiB live, 58.5MiB allocated; 1ms collecting garbage

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
49.7%	1	`(exp.f64 b)`
51.3%	2	`(exp.f64 a)`
51.3%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
51.3%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
51.3%	2	`a`
49.7%	1	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes22.0ms (0.2%)

Memory

-14.8MiB live, 37.2MiB allocated; 3ms collecting garbage

Counts

21 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
49.7%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
49.7%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
49.7%	1	`(exp.f64 a)`
49.7%	1	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes27.0ms (0.2%)

Memory

1.8MiB live, 49.1MiB allocated; 1ms collecting garbage

Counts

18 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
49.5%	1	`(exp.f64 a)`
49.5%	1	`(exp.f64 b)`
49.5%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
49.5%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
49.5%	1	`b`
49.5%	1	`a`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes16.0ms (0.1%)

Memory

31.1MiB live, 31.1MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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:

3.0ms	b
3.0ms	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 b)

Results

Accuracy	Segments	Branch
49.5%	1	`b`
49.5%	1	`(exp.f64 a)`
49.5%	1	`a`
49.5%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
49.5%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
49.5%	1	`(exp.f64 b)`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes10.0ms (0.1%)

Memory

-27.2MiB live, 20.1MiB allocated; 1ms collecting garbage

Accuracy

Total -30.2b remaining (-91.9%)

Threshold costs -30.2b (-91.9%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
48.6%	1	`b`
48.6%	1	`(exp.f64 b)`
48.6%	1	`(exp.f64 a)`
48.6%	1	`a`
48.6%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
48.6%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

bsearch18.0ms (0.2%)

Memory

26.2MiB live, 26.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.7983240256500172e-96	1.3522476255566487e-94

Samples

9.0ms	54×	1	valid
3.0ms	58×	0	valid

Compiler

Compiled 149 to 151 computations (-1.3% saved)

Precisions

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

ival-log: 5.0ms (55.9% of total)

ival-exp: 2.0ms (22.4% of total)

adjust: 1.0ms (11.2% of total)

ival-add: 1.0ms (11.2% of total)

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

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

bsearch51.0ms (0.4%)

Memory

15.3MiB live, 62.1MiB allocated; 1ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
49.0ms	-356597985.31597984	-2925.3741958162914

Samples

24.0ms	49×	2	valid
17.0ms	89×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 639 to 497 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-log: 19.0ms (52.3% of total)

ival-exp: 12.0ms (33% of total)

adjust: 4.0ms (11% of total)

ival-add: 2.0ms (5.5% of total)

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

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

simplify58.0ms (0.5%)

Memory

-30.4MiB live, 63.3MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	239
1	107	239
2	198	239
3	499	239
4	1459	239
5	7230	239

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))))
#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))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(if (<=.f64 b #s(literal 6974232053805175/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 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))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 a #s(literal -3800 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) (*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) b) b) #s(literal 1/192 binary64)) (pow.f64 b #s(literal 4 binary64)))))) (log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #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 a) #s(literal 1 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))))
#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))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(if (<=.f64 b #s(literal 6974232053805175/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 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))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 a #s(literal -3800 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) (*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) b) b) #s(literal 1/192 binary64)) (pow.f64 b #s(literal 4 binary64)))))) (log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #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 a) #s(literal 1 binary64))))

derivations763.0ms (6.7%)

Memory

9.9MiB live, 475.2MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	704
1	685	680
2	2671	663
0	8288	569
0	99	370
1	317	370
2	1186	366
3	5037	366
0	8217	320
0	578	7016
1	1986	6790
0	8322	5960
0	201	771
1	653	761
2	2405	750
0	8957	668

Stop Event

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

Compiler

Compiled 239 to 84 computations (64.9% saved)

preprocess109.0ms (1%)

Memory: 10.3MiB live, 157.0MiB allocated; 16ms collecting garbage
Compiler: Compiled 524 to 206 computations (60.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze140.0ms (1.2%)

sample5.8s (50.3%)

explain163.0ms (1.4%)

preprocess169.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify108.0ms (0.9%)

localize60.0ms (0.5%)

series82.0ms (0.7%)

simplify136.0ms (1.2%)

rewrite175.0ms (1.5%)

eval64.0ms (0.6%)

prune23.0ms (0.2%)

simplify117.0ms (1%)

localize243.0ms (2.1%)

series442.0ms (3.9%)

simplify269.0ms (2.4%)

rewrite244.0ms (2.1%)

eval189.0ms (1.6%)

prune60.0ms (0.5%)

simplify141.0ms (1.2%)

localize196.0ms (1.7%)

series139.0ms (1.2%)

simplify180.0ms (1.6%)

rewrite177.0ms (1.5%)

eval27.0ms (0.2%)

prune17.0ms (0.1%)

simplify128.0ms (1.1%)

localize184.0ms (1.6%)

series64.0ms (0.6%)

simplify147.0ms (1.3%)

rewrite207.0ms (1.8%)

eval43.0ms (0.4%)

prune24.0ms (0.2%)

regimes54.0ms (0.5%)

regimes44.0ms (0.4%)

regimes40.0ms (0.4%)

regimes40.0ms (0.4%)

regimes39.0ms (0.3%)

regimes32.0ms (0.3%)

regimes22.0ms (0.2%)

regimes27.0ms (0.2%)

regimes16.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch18.0ms (0.2%)

bsearch51.0ms (0.4%)

simplify58.0ms (0.5%)

derivations763.0ms (6.7%)

preprocess109.0ms (1%)

end0.0ms (0%)

Profiling