Metrics for symmetry log of sum of exp

start0.0ms (0%)

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

analyze160.0ms (1.6%)

Memory

-19.9MiB live, 263.1MiB allocated; 32ms 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)

sample6.6s (67.2%)

Memory

177.8MiB live, 8 497.4MiB allocated; 2.4s collecting garbage

Samples

2.9s	7 751×	5	exit
906.0ms	1 589×	2	valid
562.0ms	2 310×	1	valid
348.0ms	4 357×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.7s

ival-log: 1.4s (37% of total)

ival-exp: 1.1s (28.1% of total)

adjust: 1.0s (27.5% of total)

ival-add: 268.0ms (7.1% of total)

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

Bogosity

explain172.0ms (1.8%)

Memory

-27.1MiB live, 225.3MiB allocated; 51ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
130	-	-	`(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	125	0
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	oflow-rescue	5	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	5
↳	`(exp.f64 a)`	overflow	3
↳	`(exp.f64 b)`	overflow	2

Confusion

	Predicted +	Predicted -
+	130	0
-	0	126

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	126
1	130

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms	102×	2	valid
43.0ms	148×	1	valid
16.0ms	262×	0	valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-exp: 40.0ms (43.4% of total)

ival-log: 40.0ms (43.4% of total)

adjust: 7.0ms (7.6% of total)

ival-add: 4.0ms (4.3% of total)

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

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

preprocess159.0ms (1.6%)

Memory

-20.7MiB live, 167.2MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	42
1	37	42
2	94	42
3	358	42
4	1773	42
5	6967	42
0	6	6
0	10	6
1	17	6
2	40	6
3	112	6
4	515	6
5	5179	6
0	8304	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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 6 to 6 computations (0% saved)

series83.0ms (0.8%)

Memory

15.4MiB live, 103.0MiB allocated; 10ms collecting garbage

Counts

6 → 30

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
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (exp b) #s(hole binary64 (exp b)))

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
20.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
19.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
14.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
1.0ms	a	@	0	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)

rewrite162.0ms (1.6%)

Memory

7.5MiB live, 189.9MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	549
0	137	533
1	867	533
0	8509	485

Stop Event

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

Counts

36 → 71

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
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (exp b) #s(hole binary64 (exp b)))

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

eval9.0ms (0.1%)

Memory: 17.4MiB live, 17.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 099 to 293 computations (73.3% saved)

prune5.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	65	6	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	6	72

Accuracy

98.4%

Counts

72 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.6%	(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)))))
▶	51.5%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
▶	51.2%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
▶	97.4%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
▶	50.2%	#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 156 to 128 computations (17.9% saved)

series119.0ms (1.2%)

Memory

6.3MiB live, 154.7MiB allocated; 13ms collecting garbage

Counts

24 → 73

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

Outputs
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole 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)))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (- (exp a) -1)) #s(hole 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))))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx b #s(hole binary64 b))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (- b -1) #s(hole binary64 1))
#s(approx (- b -1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (- b -1) #s(hole binary64 b))
#s(approx (- b -1) #s(hole binary64 (* b (+ 1 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))

Calls

6 calls:

Time	Variable		Point	Expression
37.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (- b -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1/2 1)
26.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (- b -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1/2 1)
25.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (- b -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1/2 1)
23.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (- b -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1/2 1)
5.0ms	b	@	0	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (- b -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1/2 1)

rewrite201.0ms (2.1%)

Memory

-29.5MiB live, 203.0MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	295	1346
0	317	1282
1	1821	1278
0	8160	1218

Stop Event

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

Counts

97 → 187

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

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

eval42.0ms (0.4%)

Memory: 8.0MiB live, 52.7MiB allocated; 5ms collecting garbage
Compiler: Compiled 5 761 to 995 computations (82.7% saved)

prune15.0ms (0.2%)

Memory

24.3MiB live, 24.3MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	230	12	242
Fresh	1	0	1
Picked	4	1	5
Done	0	0	0
Total	235	13	248

Accuracy

98.4%

Counts

248 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.7%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (/.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 (.f64 (sinh.f64 b) (sinh.f64 b)) (.f64 (cosh.f64 b) (sinh.f64 b)))))))
✓	50.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
▶	49.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
▶	48.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
	47.5%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
▶	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)))))
	51.7%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
▶	97.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b)))
	49.8%	#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)))))
▶	49.8%	#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)))))
	48.8%	#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)))))
	48.9%	#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)))))
	48.8%	#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 552 to 413 computations (25.2% saved)

series214.0ms (2.2%)

Memory

-25.2MiB live, 224.4MiB allocated; 23ms collecting garbage

Counts

31 → 92

Calls

Call 1

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

Outputs
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole 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)))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (* a (* b (- (* 1/2 (/ 1 b)) 1/4))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (* a (+ (* 1/8 a) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (* a (+ (* a (+ 1/8 (* 1/48 (* a b)))) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (/ (log 2) b))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (+ (* a (- (* 1/2 (/ 1 b)) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/2 (/ 1 b)) (* a (+ (* 1/48 a) (* 1/8 (/ 1 b))))) 1/4)) (/ (log 2) b)))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (/ (log 2) b)))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* 1/2 (/ a b)) (/ (log 2) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* a (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b)))) (/ (log 2) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* -1/192 (/ (pow a 2) b)) (* 1/8 (/ 1 b)))) (* 1/2 (/ 1 b)))) (/ (log 2) b))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 1/2))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 (+ 1/2 (* -1/4 a))))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 (+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))))
#s(approx (+ 1 (exp a)) #s(hole binary64 2))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 a)))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (/ (log (+ 1 (exp a))) b)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (/ (log (+ 1 (exp a))) b)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (/ (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) b)))
#s(approx b #s(hole binary64 b))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ 1 b) #s(hole binary64 1))
#s(approx (+ 1 b) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ 1 b) #s(hole binary64 b))
#s(approx (+ 1 b) #s(hole binary64 (* b (+ 1 (/ 1 b)))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* 1/8 (pow b 2))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* 1/8 b)))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* b (+ 1/8 (* 1/2 (/ 1 b))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))))

Calls

6 calls:

Time	Variable		Point	Expression
69.0ms	b	@	0	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (+ 1 (exp a)) -1) (+ 1 (exp a)) 1 -1 (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) 1/8)
52.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (+ 1 (exp a)) -1) (+ 1 (exp a)) 1 -1 (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) 1/8)
42.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (+ 1 (exp a)) -1) (+ 1 (exp a)) 1 -1 (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) 1/8)
26.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (+ 1 (exp a)) -1) (+ 1 (exp a)) 1 -1 (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) 1/8)
21.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (+ 1 (exp a)) -1) (+ 1 (exp a)) 1 -1 (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) 1/8)

rewrite203.0ms (2.1%)

Memory

18.3MiB live, 248.7MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	367	1977
0	389	1898
1	2207	1886
0	9504	1800

Stop Event

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

Counts

123 → 249

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b))
(*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b)
(+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(/.f64 (log1p.f64 (exp.f64 a)) b)
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
b
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) 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 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#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 (+ 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))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole 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)))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (* a (* b (- (* 1/2 (/ 1 b)) 1/4))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (* a (+ (* 1/8 a) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (* a (+ (* a (+ 1/8 (* 1/48 (* a b)))) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (/ (log 2) b))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (+ (* a (- (* 1/2 (/ 1 b)) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/2 (/ 1 b)) (* a (+ (* 1/48 a) (* 1/8 (/ 1 b))))) 1/4)) (/ (log 2) b)))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (/ (log 2) b)))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* 1/2 (/ a b)) (/ (log 2) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* a (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b)))) (/ (log 2) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* -1/192 (/ (pow a 2) b)) (* 1/8 (/ 1 b)))) (* 1/2 (/ 1 b)))) (/ (log 2) b))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 1/2))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 (+ 1/2 (* -1/4 a))))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 (+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))))
#s(approx (+ 1 (exp a)) #s(hole binary64 2))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 a)))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (/ (log (+ 1 (exp a))) b)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (/ (log (+ 1 (exp a))) b)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (/ (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) b)))
#s(approx b #s(hole binary64 b))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ 1 b) #s(hole binary64 1))
#s(approx (+ 1 b) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ 1 b) #s(hole binary64 b))
#s(approx (+ 1 b) #s(hole binary64 (* b (+ 1 (/ 1 b)))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* 1/8 (pow b 2))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* 1/8 b)))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* b (+ 1/8 (* 1/2 (/ 1 b))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))))

Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b)
(*.f64 b (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b) (-.f64 (.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b) (.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b)) (.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b) (.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b)))))
(/.f64 (+.f64 (pow.f64 (.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b)) #s(literal 3 binary64))) (fma.f64 (.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b)) (.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b))) (.f64 (.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b))))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b))
(fma.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (*.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b)))
(+.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b) (.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b))
(+.f64 (.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b))))
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#s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
#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 (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 a a)
#s(approx (pow (+ 1 (exp a)) -1) #s(literal 1/2 binary64))
#s(approx (pow (+ 1 (exp a)) -1) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (pow (+ 1 (exp a)) -1) (fma.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (pow (+ 1 (exp a)) -1) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 a a) #s(literal 1/48 binary64)) (*.f64 a a)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (+ 1 (exp a)) #s(literal 2 binary64))
#s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))
#s(approx (+ 1 (exp a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (+ 1 (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 2 binary64)))
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)))
#s(approx (/ (log (+ 1 (exp a))) b) (/.f64 (log1p.f64 (exp.f64 a)) b))
#s(approx (log (+ 1 (exp a))) (log1p.f64 (exp.f64 a)))
#s(approx (exp a) (exp.f64 a))
#s(approx (pow (+ 1 (exp a)) -1) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
#s(approx (+ 1 (exp a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (log1p.f64 (exp.f64 a)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (log1p.f64 (exp.f64 a)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (/.f64 (log1p.f64 (exp.f64 a)) b))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (/.f64 (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) b))
#s(approx b b)
#s(approx (log (+ 1 (exp b))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#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 (+ 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 (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (fma.f64 (fma.f64 #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 (+ 1 b) #s(literal 1 binary64))
#s(approx (+ 1 b) (+.f64 #s(literal 1 binary64) b))
#s(approx (+ (* 1/2 b) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* 1/2 b) (log 2)) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* 1/8 b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/8 b) 1/2) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
#s(approx (log (+ 1 (exp b))) (log1p.f64 (exp.f64 b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (+ 1 b) b)
#s(approx (+ 1 b) (fma.f64 #s(literal 1 binary64) b #s(literal 1 binary64)))
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 b b))) (*.f64 b b)))
#s(approx (+ (* 1/8 b) 1/2) (*.f64 #s(literal 1/8 binary64) b))
#s(approx (+ (* 1/8 b) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) b))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 a))) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 a))) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b)))
#s(approx (+ (* 1/2 b) (log 2)) (neg.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) b) #s(literal 1/2 binary64)) b)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) b) #s(literal 1/2 binary64)) b) #s(literal -1 binary64) #s(literal 1/8 binary64)) (.f64 b b)))

eval39.0ms (0.4%)

Memory: -10.9MiB live, 80.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 9 897 to 1 372 computations (86.1% saved)

prune52.0ms (0.5%)

Memory

-13.6MiB live, 45.9MiB allocated; 20ms collecting garbage

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	262	8	270
Fresh	1	6	7
Picked	1	4	5
Done	0	1	1
Total	264	19	283

Accuracy

98.4%

Counts

283 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
▶	49.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b b)) (-.f64 #s(literal 1 binary64) b)))))
✓	49.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
▶	51.5%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b))))
✓	48.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
	47.5%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓	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)))))
	51.7%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
▶	97.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b)))
	97.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 #s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (/.f64 (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) b)) b)))
	49.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 #s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64))) b)))
▶	12.0%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
	49.8%	#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)))))
✓	49.8%	#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)))))
	9.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b)))))
	5.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))
	48.8%	#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)))))
▶	48.9%	#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)))))
	48.8%	#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 856 to 622 computations (27.3% saved)

series121.0ms (1.2%)

Memory

35.3MiB live, 226.1MiB allocated; 18ms collecting garbage

Counts

37 → 112

Calls

Call 1

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

Outputs
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole 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)))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (+ (* a (* b (- (* 1/2 (/ 1 b)) 1/4))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (+ (* a (+ (* 1/8 a) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (+ (* a (+ (* a (+ 1/8 (* 1/48 (* a b)))) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ 1/2 (/ (log 2) b))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ 1/2 (+ (* a (- (* 1/2 (/ 1 b)) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/2 (/ 1 b)) (* a (+ (* 1/48 a) (* 1/8 (/ 1 b))))) 1/4)) (/ (log 2) b)))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (/ (log 2) b)))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* 1/2 (/ a b)) (/ (log 2) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* a (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b)))) (/ (log 2) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* -1/192 (/ (pow a 2) b)) (* 1/8 (/ 1 b)))) (* 1/2 (/ 1 b)))) (/ (log 2) b))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 1/2))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 (+ 1/2 (* -1/4 a))))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 (+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (sqrt 1/2)))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ a (sqrt 1/2))))))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* a (- (* -1/128 (/ a (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* a (- (* a (- (* 1/2 (/ (* a (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (+ 1 (exp a)) #s(hole binary64 2))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 a)))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (/ (log (+ 1 (exp a))) b)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (sqrt (/ 1 (+ 1 (exp a))))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* 1/8 (pow a 2))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2)))))))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (* 1/8 a)))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (* a (+ 1/8 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (/ (log (+ 1 (exp a))) b)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (/ (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) b)))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (* 1/2 b) #s(hole binary64 (* 1/2 b)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ 1 b) #s(hole binary64 1))
#s(approx (+ 1 b) #s(hole binary64 (+ 1 b)))
#s(approx (/ (- 1 (* b b)) (- 1 b)) #s(hole binary64 1))
#s(approx (/ (- 1 (* b b)) (- 1 b)) #s(hole binary64 (+ 1 b)))
#s(approx (- 1 (* b b)) #s(hole binary64 1))
#s(approx (- 1 (* b b)) #s(hole binary64 (+ 1 (* -1 (pow b 2)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (- 1 b) #s(hole binary64 1))
#s(approx (- 1 b) #s(hole binary64 (+ 1 (* -1 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ 1 b) #s(hole binary64 b))
#s(approx (+ 1 b) #s(hole binary64 (* b (+ 1 (/ 1 b)))))
#s(approx (/ (- 1 (* b b)) (- 1 b)) #s(hole binary64 b))
#s(approx (/ (- 1 (* b b)) (- 1 b)) #s(hole binary64 (* b (+ 1 (/ 1 b)))))
#s(approx (- 1 (* b b)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (- 1 (* b b)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) 1))))
#s(approx (- 1 b) #s(hole binary64 (* -1 b)))
#s(approx (- 1 b) #s(hole binary64 (* b (- (/ 1 b) 1))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))))
#s(approx (- 1 b) #s(hole binary64 (* -1 (* b (- 1 (/ 1 b))))))

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (pow (+ 1 (exp a)) -1/2) 2) (pow (+ 1 (exp a)) -1/2) (+ 1 (exp a)) 1 -1/2 2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (/ (- 1 (* b b)) (- 1 b)) (- 1 (* b b)) (* b b) (- 1 b))
29.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (pow (+ 1 (exp a)) -1/2) 2) (pow (+ 1 (exp a)) -1/2) (+ 1 (exp a)) 1 -1/2 2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (/ (- 1 (* b b)) (- 1 b)) (- 1 (* b b)) (* b b) (- 1 b))
28.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (pow (+ 1 (exp a)) -1/2) 2) (pow (+ 1 (exp a)) -1/2) (+ 1 (exp a)) 1 -1/2 2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (/ (- 1 (* b b)) (- 1 b)) (- 1 (* b b)) (* b b) (- 1 b))
16.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (pow (+ 1 (exp a)) -1/2) 2) (pow (+ 1 (exp a)) -1/2) (+ 1 (exp a)) 1 -1/2 2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (/ (- 1 (* b b)) (- 1 b)) (- 1 (* b b)) (* b b) (- 1 b))
12.0ms	b	@	0	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (pow (+ 1 (exp a)) -1/2) 2) (pow (+ 1 (exp a)) -1/2) (+ 1 (exp a)) 1 -1/2 2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (/ (- 1 (* b b)) (- 1 b)) (- 1 (* b b)) (* b b) (- 1 b))

rewrite271.0ms (2.8%)

Memory

-8.6MiB live, 313.6MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	446	2380
0	474	2182
1	2584	2161
0	11050	2062

Stop Event

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

Counts

149 → 318

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b))
(*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b)
(+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (log1p.f64 (exp.f64 a)) b)
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
b
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b))))
(log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b)))
#s(approx (exp b) #s(approx (+ 1 b) b))
#s(approx (+ 1 b) b)
#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 (+ 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))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
(log.f64 #s(literal 2 binary64))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b b)) (-.f64 #s(literal 1 binary64) b)))))
(log1p.f64 #s(approx (exp b) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b b)) (-.f64 #s(literal 1 binary64) b))))
#s(approx (exp b) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b b)) (-.f64 #s(literal 1 binary64) b)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b b)) (-.f64 #s(literal 1 binary64) b))
(-.f64 #s(literal 1 binary64) (*.f64 b b))
(*.f64 b b)
(-.f64 #s(literal 1 binary64) b)
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole 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)))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (+ (* a (* b (- (* 1/2 (/ 1 b)) 1/4))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (+ (* a (+ (* 1/8 a) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (+ (* a (+ (* a (+ 1/8 (* 1/48 (* a b)))) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ 1/2 (/ (log 2) b))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ 1/2 (+ (* a (- (* 1/2 (/ 1 b)) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/2 (/ 1 b)) (* a (+ (* 1/48 a) (* 1/8 (/ 1 b))))) 1/4)) (/ (log 2) b)))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (/ (log 2) b)))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* 1/2 (/ a b)) (/ (log 2) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* a (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b)))) (/ (log 2) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* -1/192 (/ (pow a 2) b)) (* 1/8 (/ 1 b)))) (* 1/2 (/ 1 b)))) (/ (log 2) b))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 1/2))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 (+ 1/2 (* -1/4 a))))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 (+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (sqrt 1/2)))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ a (sqrt 1/2))))))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* a (- (* -1/128 (/ a (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* a (- (* a (- (* 1/2 (/ (* a (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (+ 1 (exp a)) #s(hole binary64 2))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 a)))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (/ (log (+ 1 (exp a))) b)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (sqrt (/ 1 (+ 1 (exp a))))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* 1/8 (pow a 2))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2)))))))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (* 1/8 a)))
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (* a (+ 1/8 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (/ (log (+ 1 (exp a))) b)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (/ (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) b)))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (* 1/2 b) #s(hole binary64 (* 1/2 b)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ 1 b) #s(hole binary64 1))
#s(approx (+ 1 b) #s(hole binary64 (+ 1 b)))
#s(approx (/ (- 1 (* b b)) (- 1 b)) #s(hole binary64 1))
#s(approx (/ (- 1 (* b b)) (- 1 b)) #s(hole binary64 (+ 1 b)))
#s(approx (- 1 (* b b)) #s(hole binary64 1))
#s(approx (- 1 (* b b)) #s(hole binary64 (+ 1 (* -1 (pow b 2)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (- 1 b) #s(hole binary64 1))
#s(approx (- 1 b) #s(hole binary64 (+ 1 (* -1 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ 1 b) #s(hole binary64 b))
#s(approx (+ 1 b) #s(hole binary64 (* b (+ 1 (/ 1 b)))))
#s(approx (/ (- 1 (* b b)) (- 1 b)) #s(hole binary64 b))
#s(approx (/ (- 1 (* b b)) (- 1 b)) #s(hole binary64 (* b (+ 1 (/ 1 b)))))
#s(approx (- 1 (* b b)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (- 1 (* b b)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) 1))))
#s(approx (- 1 b) #s(hole binary64 (* -1 b)))
#s(approx (- 1 b) #s(hole binary64 (* b (- (/ 1 b) 1))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))))
#s(approx (- 1 b) #s(hole binary64 (* -1 (* b (- 1 (/ 1 b))))))

Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b)
(*.f64 b (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b) (-.f64 (.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b) (.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b)) (.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b) (.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b)))))
(/.f64 (+.f64 (pow.f64 (.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b)) #s(literal 3 binary64))) (fma.f64 (.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b)) (.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b))) (.f64 (.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b))))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b))
(fma.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (*.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b)))
(+.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b) (.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b))
(+.f64 (.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)))) (neg.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 b) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (neg.f64 (log1p.f64 (exp.f64 a))))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 b) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (neg.f64 (log1p.f64 (exp.f64 a))))) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal -1 binary64) b (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) b))
(/.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 a)) (.f64 (neg.f64 b) #s(literal 1 binary64))) (.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 (neg.f64 b) #s(literal -1 binary64))) (.f64 (neg.f64 b) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)) (.f64 b #s(literal 1 binary64))) (.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (neg.f64 b)) (*.f64 b (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)))))
(/.f64 (fma.f64 #s(literal 1 binary64) b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))) (/.f64 (log1p.f64 (exp.f64 a)) b))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b))) (/.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b))))
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#s(approx (pow (+ 1 (exp a)) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (pow (+ 1 (exp a)) -1/2) (fma.f64 (/.f64 a (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (pow (+ 1 (exp a)) -1/2) (fma.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 a (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) a (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (pow (+ 1 (exp a)) -1/2) (fma.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 #s(literal 5/384 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/128 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -3/2 binary64)))) a (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) a (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ 1 (exp a)) #s(literal 2 binary64))
#s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))
#s(approx (+ 1 (exp a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (+ 1 (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 2 binary64)))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* 1/8 a) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/8 a) 1/2) (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)))
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)))
#s(approx (/ (log (+ 1 (exp a))) b) (/.f64 (log1p.f64 (exp.f64 a)) b))
#s(approx (log (+ 1 (exp a))) (log1p.f64 (exp.f64 a)))
#s(approx (exp a) (exp.f64 a))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
#s(approx (pow (+ 1 (exp a)) -1/2) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)))
#s(approx (+ 1 (exp a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (.f64 a a)))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 a a))) (*.f64 a a)))
#s(approx (+ (* 1/8 a) 1/2) (*.f64 #s(literal 1/8 binary64) a))
#s(approx (+ (* 1/8 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) a))
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (.f64 a a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (log1p.f64 (exp.f64 a)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (log1p.f64 (exp.f64 a)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (/.f64 (log1p.f64 (exp.f64 a)) b))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (/.f64 (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) b))
#s(approx b b)
#s(approx (+ (* 1/2 b) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* 1/2 b) (log 2)) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (* 1/2 b) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (log (+ 1 (exp b))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#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 (+ 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 (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (fma.f64 (fma.f64 #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 (/ (- 1 (* b b)) (- 1 b)) #s(literal 1 binary64))
#s(approx (/ (- 1 (* b b)) (- 1 b)) (+.f64 #s(literal 1 binary64) b))
#s(approx (/ (- 1 (* b b)) (- 1 b)) #s(literal 1 binary64))
#s(approx (/ (- 1 (* b b)) (- 1 b)) (+.f64 #s(literal 1 binary64) b))
#s(approx (- 1 (* b b)) #s(literal 1 binary64))
#s(approx (- 1 (* b b)) (fma.f64 (*.f64 b b) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (* b b) (*.f64 b b))
#s(approx (- 1 b) #s(literal 1 binary64))
#s(approx (- 1 b) (fma.f64 #s(literal -1 binary64) b #s(literal 1 binary64)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b))
#s(approx (log (+ 1 (exp b))) (log1p.f64 (exp.f64 b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (/ (- 1 (* b b)) (- 1 b)) b)
#s(approx (/ (- 1 (* b b)) (- 1 b)) (fma.f64 #s(literal 1 binary64) b #s(literal 1 binary64)))
#s(approx (/ (- 1 (* b b)) (- 1 b)) b)
#s(approx (/ (- 1 (* b b)) (- 1 b)) (fma.f64 #s(literal 1 binary64) b #s(literal 1 binary64)))
#s(approx (- 1 (* b b)) (neg.f64 (*.f64 b b)))
#s(approx (- 1 (* b b)) (.f64 (-.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 b b)))
#s(approx (- 1 b) (neg.f64 b))
#s(approx (- 1 b) (*.f64 (-.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1 binary64)) b))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 a))) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 a))) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))))
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) b) #s(literal 1/2 binary64))))
#s(approx (- 1 b) (*.f64 (neg.f64 b) (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1 binary64)))))

eval55.0ms (0.6%)

Memory: 10.9MiB live, 113.0MiB allocated; 11ms collecting garbage
Compiler: Compiled 12 225 to 1 855 computations (84.8% saved)

prune26.0ms (0.3%)

Memory

-23.1MiB live, 65.1MiB allocated; 7ms collecting garbage

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	333	6	339
Fresh	4	5	9
Picked	2	3	5
Done	0	5	5
Total	339	19	358

Accuracy

98.4%

Counts

358 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
	49.1%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (/.f64 #s(approx (- 1 (* b b)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) b)))))
✓	49.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
✓	51.5%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b))))
✓	48.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
	47.5%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓	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)))))
	51.7%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
	97.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) b)))
	57.7%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 #s(approx (pow (+ 1 (exp a)) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) b)))
	49.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 #s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64))) b)))
✓	12.0%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
	49.8%	#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)))))
✓	49.8%	#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)))))
	9.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b)))))
	48.8%	#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)))))
✓	48.9%	#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)))))
	48.8%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 1/8 a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
	3.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))))

Compiler

Compiled 1 293 to 564 computations (56.4% saved)

regimes82.0ms (0.8%)

Memory

-3.6MiB live, 116.0MiB allocated; 69ms collecting garbage

Counts

33 → 1

Calls

Call 1

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

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

Calls

6 calls:

44.0ms	a
9.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
8.0ms	b
6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.4%	1	`(exp.f64 b)`
97.4%	1	`(exp.f64 a)`
97.4%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
97.4%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
97.4%	1	`a`
97.4%	1	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes40.0ms (0.4%)

Memory

-3.4MiB live, 88.7MiB allocated; 6ms collecting garbage

Counts

26 → 2

Calls

Call 1

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

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

Calls

6 calls:

9.0ms	b
7.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms	a
5.0ms	(exp.f64 a)
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
54.1%	2	`(exp.f64 b)`
98.1%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.1%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.1%	2	`a`
63.7%	2	`b`
98.1%	2	`(exp.f64 a)`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes27.0ms (0.3%)

Memory

19.8MiB live, 70.0MiB allocated; 6ms collecting garbage

Counts

25 → 2

Calls

Call 1

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

Outputs

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

(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)))))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.7%	2	`(exp.f64 a)`
97.7%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
97.7%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
97.7%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes24.0ms (0.2%)

Memory

-43.5MiB live, 50.7MiB allocated; 3ms collecting garbage

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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
97.5%	2	`(exp.f64 a)`
97.5%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
97.5%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
97.5%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes22.0ms (0.2%)

Memory

9.3MiB live, 55.8MiB allocated; 2ms collecting garbage

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes23.0ms (0.2%)

Memory

-6.0MiB live, 44.7MiB allocated; 4ms collecting garbage

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

7.0ms	(exp.f64 a)
6.0ms	a
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

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

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes20.0ms (0.2%)

Memory

43.1MiB live, 43.2MiB allocated; 0ms collecting garbage

Counts

21 → 2

Calls

Call 1

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

Outputs

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

#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

4 calls:

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

Results

Accuracy	Segments	Branch
96.8%	2	`(exp.f64 a)`
96.8%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
96.8%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
96.8%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes15.0ms (0.1%)

Memory

-16.2MiB live, 30.6MiB allocated; 2ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

Outputs

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

#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

4 calls:

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

Results

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

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes37.0ms (0.4%)

Memory

-27.1MiB live, 19.9MiB allocated; 1ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

Outputs

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

#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)))))

Calls

4 calls:

27.0ms	(exp.f64 a)
4.0ms	a
3.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

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

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes12.0ms (0.1%)

Memory

24.9MiB live, 24.9MiB allocated; 0ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

Outputs

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

#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

4 calls:

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

Results

Accuracy	Segments	Branch
96.4%	2	`(exp.f64 a)`
96.4%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
96.4%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
96.4%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes27.0ms (0.3%)

Memory

-21.8MiB live, 24.6MiB allocated; 2ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

18.0ms	(exp.f64 a)
3.0ms	a
2.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
96.3%	2	`(exp.f64 a)`
96.3%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
96.3%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
96.3%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes10.0ms (0.1%)

Memory

21.8MiB live, 21.8MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

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

Calls

4 calls:

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 a)

Results

Accuracy	Segments	Branch
96.3%	2	`(exp.f64 a)`
96.3%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
96.3%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
96.3%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes8.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
95.7%	2	`(exp.f64 a)`
95.7%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
95.7%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
95.7%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes13.0ms (0.1%)

Memory

-21.7MiB live, 28.3MiB allocated; 5ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

6.0ms	a
2.0ms	b
2.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
1.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
48.8%	1	`b`
56.1%	2	`(exp.f64 a)`
56.1%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
56.1%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
56.1%	2	`a`

Compiler

Compiled 15 to 18 computations (-20% saved)

regimes10.0ms (0.1%)

Memory

20.6MiB live, 20.6MiB allocated; 0ms collecting garbage

Accuracy

Total -6.0b remaining (-10.6%)

Threshold costs -6b (-10.6%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
12.0%	1	`b`
12.0%	1	`(exp.f64 b)`
12.0%	1	`(exp.f64 a)`
12.0%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
12.0%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
12.0%	1	`a`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.999399784839737

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch26.0ms (0.3%)

Memory

5.0MiB live, 51.2MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-3751.047259680659	-0.0006003953614922257

Samples

16.0ms	103×	1	valid
2.0ms	41×	0	valid

Compiler

Compiled 396 to 317 computations (19.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-exp: 5.0ms (35.7% of total)

ival-log: 5.0ms (35.7% of total)

adjust: 2.0ms (14.3% of total)

ival-add: 1.0ms (7.1% of total)

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

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

bsearch4.0ms (0%)

Memory

-43.3MiB live, 1.4MiB allocated; 5ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.6928470279385224

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.6928470279385224

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch13.0ms (0.1%)

Memory

38.7MiB live, 61.9MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-3751.047259680659	-0.0006003953614922257

Samples

10.0ms

48×

valid

Compiler

Compiled 333 to 281 computations (15.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

adjust: 4.0ms (49.1% of total)

ival-exp: 2.0ms (24.5% of total)

ival-log: 2.0ms (24.5% of total)

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

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

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

bsearch0.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.6928470279385224

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.6928470279385224

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch26.0ms (0.3%)

Memory

57.2MiB live, 77.1MiB allocated; 23ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	-3751.047259680659	-0.0006003953614922257

Samples

18.0ms	31×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 342 to 290 computations (15.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-exp: 15.0ms (87.8% of total)

adjust: 1.0ms (5.9% of total)

ival-log: 1.0ms (5.9% of total)

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

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

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

bsearch1.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-3751.047259680659	-0.0006003953614922257

Compiler

Compiled 378 to 308 computations (18.5% saved)

bsearch14.0ms (0.1%)

Memory

39.4MiB live, 39.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-3751.047259680659	-0.0006003953614922257

Samples

7.0ms

128×

valid

Compiler

Compiled 315 to 272 computations (13.7% saved)

Precisions

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

ival-exp: 2.0ms (46.2% of total)

ival-add: 1.0ms (23.1% of total)

ival-log: 1.0ms (23.1% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch9.0ms (0.1%)

Memory

-28.6MiB live, 12.2MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	-3751.047259680659	-0.0006003953614922257

Samples

6.0ms

48×

valid

Compiler

Compiled 279 to 236 computations (15.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-exp: 1.0ms (61.8% of total)

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

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

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

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-3751.047259680659	-0.0006003953614922257

Compiler

Compiled 261 to 227 computations (13% saved)

bsearch39.0ms (0.4%)

Memory

29.8MiB live, 64.2MiB allocated; 17ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	-3751.047259680659	-0.0006003953614922257

Samples

18.0ms	105×	1	valid
14.0ms	5×	0	valid
1.0ms	2×	2	valid

Compiler

Compiled 387 to 326 computations (15.8% saved)

Precisions

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

ival-log: 18.0ms (63.4% of total)

ival-exp: 6.0ms (21.1% of total)

adjust: 3.0ms (10.6% of total)

ival-add: 1.0ms (3.5% of total)

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

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

simplify100.0ms (1%)

Memory

5.8MiB live, 101.9MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	603
1	128	603
2	172	603
3	311	603
4	1061	603
5	7384	603

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 a #s(literal -36 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (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))))))
(if (<=.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(if (<=.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))))
(if (<=.f64 a #s(literal -35 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))))
(if (<=.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #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))))))
(if (<=.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b)))) #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))))))
(if (<=.f64 a #s(literal -46 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b)))) #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))))))
(if (<=.f64 a #s(literal -46 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -6124895493223875/4503599627370496 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -1 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))))
(if (<=.f64 a #s(literal -46 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))))
(if (<=.f64 a #s(literal -105 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))

Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 a #s(literal -36 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (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))))))
(if (<=.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(if (<=.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))))
(if (<=.f64 a #s(literal -35 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))))
(if (<=.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #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))))))
(if (<=.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b)))) #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))))))
(if (<=.f64 a #s(literal -46 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b)))) #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))))))
(if (<=.f64 a #s(literal -46 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -6124895493223875/4503599627370496 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -1 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))))
(if (<=.f64 a #s(literal -46 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))))
(if (<=.f64 a #s(literal -105 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))

derivations375.0ms (3.8%)

Memory

2.0MiB live, 339.0MiB allocated; 32ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 603 to 114 computations (81.1% saved)

preprocess128.0ms (1.3%)

Memory: -16.6MiB live, 171.0MiB allocated; 65ms collecting garbage
Compiler: Compiled 1 292 to 290 computations (77.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze160.0ms (1.6%)

sample6.6s (67.2%)

explain172.0ms (1.8%)

preprocess159.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

series83.0ms (0.8%)

rewrite162.0ms (1.6%)

eval9.0ms (0.1%)

prune5.0ms (0.1%)

series119.0ms (1.2%)

rewrite201.0ms (2.1%)

eval42.0ms (0.4%)

prune15.0ms (0.2%)

series214.0ms (2.2%)

rewrite203.0ms (2.1%)

eval39.0ms (0.4%)

prune52.0ms (0.5%)

series121.0ms (1.2%)

rewrite271.0ms (2.8%)

eval55.0ms (0.6%)

prune26.0ms (0.3%)

regimes82.0ms (0.8%)

regimes40.0ms (0.4%)

regimes27.0ms (0.3%)

regimes24.0ms (0.2%)

regimes22.0ms (0.2%)

regimes23.0ms (0.2%)

regimes20.0ms (0.2%)

regimes15.0ms (0.1%)

regimes37.0ms (0.4%)

regimes12.0ms (0.1%)

regimes27.0ms (0.3%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes13.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch0.0ms (0%)

bsearch26.0ms (0.3%)

bsearch4.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch26.0ms (0.3%)

bsearch1.0ms (0%)

bsearch14.0ms (0.1%)

bsearch9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch39.0ms (0.4%)

simplify100.0ms (1%)

derivations375.0ms (3.8%)

preprocess128.0ms (1.3%)

end0.0ms (0%)

Profiling