Metrics for symmetry log of sum of exp

start0.0ms (0%)

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

analyze151.0ms (1.5%)

Memory

6.8MiB live, 143.3MiB allocated; 14ms 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)

sample6.7s (68%)

Memory

61.3MiB live, 7 614.3MiB allocated; 2.1s collecting garbage

Samples

3.6s	7 966×	5	exit
997.0ms	1 639×	2	valid
562.0ms	2 302×	1	valid
418.0ms	4 315×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 4.4s

ival-log: 1.6s (37.1% of total)

ival-exp: 1.4s (30.8% of total)

adjust: 1.1s (25.1% of total)

ival-add: 303.0ms (6.9% of total)

ival-assert: 8.0ms (0.2% of total)

Bogosity

explain150.0ms (1.5%)

Memory

-13.2MiB live, 227.5MiB allocated; 23ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
120	-	-	`(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	111	0
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	oflow-rescue	8	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	8
↳	`(exp.f64 a)`	overflow	4
↳	`(exp.f64 b)`	overflow	4
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	uflow-rescue	1	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	underflow	1
↳	`(exp.f64 a)`	underflow	59
↳	`(exp.f64 b)`	underflow	57

Confusion

	Predicted +	Predicted -
+	120	0
-	0	136

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	120	0	0
-	0	0	136

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	136
1	120

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

50.0ms	94×	2	valid
29.0ms	126×	1	valid
19.0ms	292×	0	valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-log: 38.0ms (47.6% of total)

ival-exp: 25.0ms (31.3% of total)

adjust: 9.0ms (11.3% of total)

ival-add: 8.0ms (10% of total)

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

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

preprocess209.0ms (2.1%)

Memory

30.1MiB live, 178.7MiB allocated; 87ms 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

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.7%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 6 to 6 computations (0% saved)

series102.0ms (1%)

Memory

-1.0MiB live, 91.6MiB allocated; 16ms 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
36.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
29.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
21.0ms	a	@	-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 (1.7%)

Memory

14.8MiB live, 198.7MiB 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))

eval11.0ms (0.1%)

Memory: -29.3MiB live, 16.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 099 to 293 computations (73.3% saved)

prune6.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	63	8	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	9	72

Accuracy

98.7%

Counts

72 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.5%	(log.f64 (/.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))))
✓	56.7%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	55.3%	(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)))))
▶	55.1%	(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)))))
	54.8%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
▶	54.1%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
▶	97.3%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
	54.1%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
▶	54.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))

Compiler

Compiled 210 to 172 computations (18.1% saved)

series227.0ms (2.3%)

Memory

16.5MiB live, 294.1MiB allocated; 26ms collecting garbage

Counts

28 → 110

Calls

Call 1

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

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 (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (log (/ (- (pow (exp b) 2) 1) (- (exp b) 1)))))
#s(approx (log (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (+ (log (/ (- (pow (exp b) 2) 1) (- (exp b) 1))) (* -1 (/ (* a (* (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))) (- (exp b) 1))) (- (pow (exp b) 2) 1))))))
#s(approx (log (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (+ (log (/ (- (pow (exp b) 2) 1) (- (exp b) 1))) (* a (+ (* -1 (/ (* (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))) (- (exp b) 1)) (- (pow (exp b) 2) 1))) (* 1/2 (* a (+ (* -2 (/ (* (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 3))) (+ (* -1/2 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (+ (* 2 (/ 1 (- (exp b) 1))) (* 2 (/ 1 (pow (- (exp b) 1) 2)))))) (- (exp b) 1)) (- (pow (exp b) 2) 1))) (* -1 (/ (* (pow (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))) 2) (pow (- (exp b) 1) 2)) (pow (- (pow (exp b) 2) 1) 2)))))))))))
#s(approx (log (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (+ (log (/ (- (pow (exp b) 2) 1) (- (exp b) 1))) (* a (+ (* -1 (/ (* (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))) (- (exp b) 1)) (- (pow (exp b) 2) 1))) (* a (+ (* 1/6 (* a (+ (* -6 (/ (* (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))) (* (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 3))) (+ (* -1/2 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (+ (* 2 (/ 1 (- (exp b) 1))) (* 2 (/ 1 (pow (- (exp b) 1) 2)))))) (pow (- (exp b) 1) 2))) (pow (- (pow (exp b) 2) 1) 2))) (+ (* -6 (/ (* (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 4))) (+ (* -1/2 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 3))) (+ (* -1/6 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (+ (* 1/2 (/ (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))) (- (exp b) 1))) (+ (* 4/3 (/ 1 (- (exp b) 1))) (+ (* 2 (/ 1 (pow (- (exp b) 1) 2))) (* 2 (/ 1 (pow (- (exp b) 1) 3))))))))) (- (exp b) 1)) (- (pow (exp b) 2) 1))) (* -2 (/ (* (pow (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))) 3) (pow (- (exp b) 1) 3)) (pow (- (pow (exp b) 2) 1) 3))))))) (* 1/2 (+ (* -2 (/ (* (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 3))) (+ (* -1/2 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (+ (* 2 (/ 1 (- (exp b) 1))) (* 2 (/ 1 (pow (- (exp b) 1) 2)))))) (- (exp b) 1)) (- (pow (exp b) 2) 1))) (* -1 (/ (* (pow (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))) 2) (pow (- (exp b) 1) 2)) (pow (- (pow (exp b) 2) 1) 2))))))))))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) #s(hole binary64 (/ (- (pow (exp b) 2) 1) (- (exp b) 1))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* -1 (* a (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))))) (/ (pow (exp b) 2) (- (exp b) 1))) (/ 1 (- (exp b) 1)))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* a (- (* -1 (* a (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 3))) (+ (* -1/2 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (+ (* 2 (/ 1 (- (exp b) 1))) (* 2 (/ 1 (pow (- (exp b) 1) 2)))))))) (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))))) (/ (pow (exp b) 2) (- (exp b) 1))) (/ 1 (- (exp b) 1)))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 4))) (+ (* -1/2 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 3))) (+ (* -1/6 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (+ (* 1/2 (/ (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))) (- (exp b) 1))) (+ (* 4/3 (/ 1 (- (exp b) 1))) (+ (* 2 (/ 1 (pow (- (exp b) 1) 2))) (* 2 (/ 1 (pow (- (exp b) 1) 3))))))))))) (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 3))) (+ (* -1/2 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (+ (* 2 (/ 1 (- (exp b) 1))) (* 2 (/ 1 (pow (- (exp b) 1) 2)))))))) (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))))) (/ (pow (exp b) 2) (- (exp b) 1))) (/ 1 (- (exp b) 1)))))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) #s(hole binary64 (- (pow (exp b) 2) 1)))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) #s(hole binary64 (- (+ (* -2 a) (pow (exp b) 2)) 1)))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) #s(hole binary64 (- (+ (* a (- (* -2 a) 2)) (pow (exp b) 2)) 1)))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) #s(hole binary64 (- (+ (* a (- (* a (- (* -4/3 a) 2)) 2)) (pow (exp b) 2)) 1)))
#s(approx (pow (exp a) 2) #s(hole binary64 1))
#s(approx (pow (exp a) 2) #s(hole binary64 (+ 1 (* 2 a))))
#s(approx (pow (exp a) 2) #s(hole binary64 (+ 1 (* a (+ 2 (* 2 a))))))
#s(approx (pow (exp a) 2) #s(hole binary64 (+ 1 (* a (+ 2 (* a (+ 2 (* 4/3 a))))))))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (exp b) 1)))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ (exp b) (* -1 a)) 1)))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ (exp b) (* a (- (* -1/2 a) 1))) 1)))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ (exp b) (* a (- (* a (- (* -1/6 a) 1/2)) 1))) 1)))
#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 (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (log (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) #s(hole binary64 (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) #s(hole binary64 (- (pow (exp b) 2) (pow (exp a) 2))))
#s(approx (pow (exp a) 2) #s(hole binary64 (pow (exp a) 2)))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (exp b) (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 b #s(hole binary64 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 (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 (+ (* (+ (* 1/2 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 (log (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (log (/ (- 1 (pow (exp a) 2)) (- 1 (exp a))))))
#s(approx (log (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (+ (log (/ (- 1 (pow (exp a) 2)) (- 1 (exp a)))) (/ (* b (* (- 1 (exp a)) (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 2))))) (- 1 (pow (exp a) 2))))))
#s(approx (log (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (+ (log (/ (- 1 (pow (exp a) 2)) (- 1 (exp a)))) (* b (+ (* 1/2 (* b (+ (* -1 (/ (* (pow (- 1 (exp a)) 2) (pow (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 2))) 2)) (pow (- 1 (pow (exp a) 2)) 2))) (* 2 (/ (* (- 1 (exp a)) (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ 1 (pow (- 1 (exp a)) 3))) (+ (* 1/2 (/ (- 1 (pow (exp a) 2)) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 2))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 3)))))) (- 1 (pow (exp a) 2))))))) (/ (* (- 1 (exp a)) (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 2)))) (- 1 (pow (exp a) 2))))))))
#s(approx (log (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (+ (log (/ (- 1 (pow (exp a) 2)) (- 1 (exp a)))) (* b (+ (* b (+ (* 1/6 (* b (+ (* -6 (/ (* (pow (- 1 (exp a)) 2) (* (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ 1 (pow (- 1 (exp a)) 3))) (+ (* 1/2 (/ (- 1 (pow (exp a) 2)) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 2))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 3))))) (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 2))))) (pow (- 1 (pow (exp a) 2)) 2))) (+ (* 2 (/ (* (pow (- 1 (exp a)) 3) (pow (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 2))) 3)) (pow (- 1 (pow (exp a) 2)) 3))) (* 6 (/ (* (- 1 (exp a)) (- (+ (* 1/2 (/ (- 1 (pow (exp a) 2)) (pow (- 1 (exp a)) 3))) (+ (* 4/3 (/ 1 (- 1 (exp a)))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 3))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 4))))) (+ (* 1/6 (/ (- 1 (pow (exp a) 2)) (pow (- 1 (exp a)) 2))) (+ (* 1/2 (/ (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 2))) (- 1 (exp a)))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 4))))))) (- 1 (pow (exp a) 2)))))))) (* 1/2 (+ (* -1 (/ (* (pow (- 1 (exp a)) 2) (pow (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 2))) 2)) (pow (- 1 (pow (exp a) 2)) 2))) (* 2 (/ (* (- 1 (exp a)) (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ 1 (pow (- 1 (exp a)) 3))) (+ (* 1/2 (/ (- 1 (pow (exp a) 2)) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 2))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 3)))))) (- 1 (pow (exp a) 2)))))))) (/ (* (- 1 (exp a)) (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 2)))) (- 1 (pow (exp a) 2))))))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) #s(hole binary64 (/ (- 1 (pow (exp a) 2)) (- 1 (exp a)))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 2)))) (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (- 1 (exp a))))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ 1 (pow (- 1 (exp a)) 3))) (+ (* 1/2 (/ (- 1 (pow (exp a) 2)) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 2))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 3)))))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2)))) (/ 1 (pow (- 1 (exp a)) 2)))) (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (- 1 (exp a))))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (+ (* b (- (+ (* 1/2 (/ (- 1 (pow (exp a) 2)) (pow (- 1 (exp a)) 3))) (+ (* 4/3 (/ 1 (- 1 (exp a)))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 3))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 4))))) (+ (* 1/6 (/ (- 1 (pow (exp a) 2)) (pow (- 1 (exp a)) 2))) (+ (* 1/2 (/ (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 2))) (- 1 (exp a)))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 4))))))) (/ 1 (pow (- 1 (exp a)) 3)))) (+ (* 1/2 (/ (- 1 (pow (exp a) 2)) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 2))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 3)))))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2)))) (/ 1 (pow (- 1 (exp a)) 2)))) (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (- 1 (exp a))))))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) #s(hole binary64 (- 1 (pow (exp a) 2))))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) #s(hole binary64 (- (+ 1 (* 2 b)) (pow (exp a) 2))))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) #s(hole binary64 (- (+ 1 (* b (+ 2 (* 2 b)))) (pow (exp a) 2))))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) #s(hole binary64 (- (+ 1 (* b (+ 2 (* b (+ 2 (* 4/3 b)))))) (pow (exp a) 2))))
#s(approx (pow (exp b) 2) #s(hole binary64 1))
#s(approx (pow (exp b) 2) #s(hole binary64 (+ 1 (* 2 b))))
#s(approx (pow (exp b) 2) #s(hole binary64 (+ 1 (* b (+ 2 (* 2 b))))))
#s(approx (pow (exp b) 2) #s(hole binary64 (+ 1 (* b (+ 2 (* b (+ 2 (* 4/3 b))))))))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- 1 (exp a))))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ 1 b) (exp a))))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ 1 (* b (+ 1 (* 1/2 b)))) (exp a))))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (exp a))))
#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 (exp b) #s(hole binary64 (exp 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 (pow (exp b) 2) #s(hole binary64 (pow (exp b) 2)))
#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
76.0ms	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))) (+ (exp a) (exp b)) (exp a) 1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1/2 (log (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) (- (pow (exp b) 2) (pow (exp a) 2)) (pow (exp b) 2) 2 (pow (exp a) 2) (- (exp b) (exp a)))
45.0ms	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))) (+ (exp a) (exp b)) (exp a) 1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1/2 (log (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) (- (pow (exp b) 2) (pow (exp a) 2)) (pow (exp b) 2) 2 (pow (exp a) 2) (- (exp b) (exp a)))
42.0ms	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))) (+ (exp a) (exp b)) (exp a) 1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1/2 (log (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) (- (pow (exp b) 2) (pow (exp a) 2)) (pow (exp b) 2) 2 (pow (exp a) 2) (- (exp b) (exp a)))
30.0ms	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))) (+ (exp a) (exp b)) (exp a) 1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1/2 (log (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) (- (pow (exp b) 2) (pow (exp a) 2)) (pow (exp b) 2) 2 (pow (exp a) 2) (- (exp b) (exp a)))
23.0ms	a	@	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))) (+ (exp a) (exp b)) (exp a) 1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1/2 (log (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) (- (pow (exp b) 2) (pow (exp a) 2)) (pow (exp b) 2) 2 (pow (exp a) 2) (- (exp b) (exp a)))

rewrite189.0ms (1.9%)

Memory

-7.2MiB live, 175.9MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	590	4232
0	626	3876
1	3925	3870
0	8286	3461

Stop Event

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

Counts

138 → 213

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

eval40.0ms (0.4%)

Memory: 2.9MiB live, 56.3MiB allocated; 10ms collecting garbage
Compiler: Compiled 7 936 to 1 267 computations (84% saved)

prune18.0ms (0.2%)

Memory

-10.0MiB live, 36.4MiB allocated; 1ms collecting garbage

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	297	15	312
Fresh	2	1	3
Picked	4	1	5
Done	1	0	1
Total	304	17	321

Accuracy

98.7%

Counts

321 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.4%	(log.f64 (/.f64 #s(approx (- (pow (exp b) 2) (pow (exp a) 2)) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (-.f64 (exp.f64 b) (exp.f64 a))))
	51.1%	(log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
▶	52.8%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
▶	52.6%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
	54.5%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) (log1p.f64 (exp.f64 a))))
▶	54.1%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	54.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
	50.7%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
	52.9%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
	48.0%	#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)))))
	52.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (.f64 b #s(literal 0 binary64))) a #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))))
	52.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)) a (.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))))
▶	97.2%	#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)))
	52.0%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
	51.9%	#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)))))
	51.8%	#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)))))
▶	52.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))

Compiler

Compiled 716 to 549 computations (23.3% saved)

series123.0ms (1.3%)

Memory

35.8MiB live, 177.3MiB allocated; 15ms collecting garbage

Counts

33 → 105

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

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

Calls

6 calls:

Time	Variable		Point	Expression
38.0ms	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 a))) (log 2) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6 1/2 (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b))
36.0ms	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 a))) (log 2) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6 1/2 (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b))
17.0ms	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 a))) (log 2) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6 1/2 (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b))
15.0ms	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 a))) (log 2) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6 1/2 (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b))
13.0ms	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 a))) (log 2) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6 1/2 (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b))

rewrite237.0ms (2.4%)

Memory

-17.9MiB live, 249.2MiB allocated; 51ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	409	2225
0	433	2131
1	2497	2121
0	11241	2044

Stop Event

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

Counts

138 → 283

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

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

eval40.0ms (0.4%)

Memory: 30.2MiB live, 74.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 10 754 to 1 604 computations (85.1% saved)

prune37.0ms (0.4%)

Memory

-26.6MiB live, 40.0MiB allocated; 36ms collecting garbage

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	298	6	304
Fresh	1	10	11
Picked	2	3	5
Done	0	1	1
Total	301	20	321

Accuracy

98.7%

Counts

321 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.4%	(log.f64 (/.f64 #s(approx (- (pow (exp b) 2) (pow (exp a) 2)) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (-.f64 (exp.f64 b) (exp.f64 a))))
✓	52.6%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
	5.6%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(approx (+ 1 b) b))))
▶	54.5%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) (log1p.f64 (exp.f64 a))))
✓	54.1%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	54.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
▶	50.7%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
	52.9%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
	48.0%	#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)))))
	52.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (.f64 b #s(literal 0 binary64))) a #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))))
▶	52.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)) a (.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))))
▶	97.2%	#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)))
	54.5%	#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 (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) b)))
	52.8%	#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)))
	52.3%	#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)))))
	52.8%	#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)))))
	52.0%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
▶	51.9%	#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)))))
	51.8%	#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)))))
✓	52.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))

Compiler

Compiled 893 to 665 computations (25.5% saved)

series99.0ms (1%)

Memory

35.3MiB live, 172.1MiB allocated; 17ms collecting garbage

Counts

39 → 125

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

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 a) #s(hole binary64 1))
#s(approx (+ 1 a) #s(hole binary64 (+ 1 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 (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* 1/2 b) (* a (- 1/2 (* 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 (+ 2 a) #s(hole binary64 2))
#s(approx (+ 2 a) #s(hole binary64 (+ 2 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 a) #s(hole binary64 a))
#s(approx (+ 1 a) #s(hole binary64 (* a (+ 1 (/ 1 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 (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* a (- 1/2 (* 1/4 b)))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* a (- (+ 1/2 (+ (* 1/2 (/ b a)) (/ (log 2) a))) (* 1/4 b)))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* a (- 1/2 (* 1/4 b)))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* a (- (+ 1/2 (* 1/2 (/ b a))) (* 1/4 b)))))
#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 (+ 2 a) #s(hole binary64 a))
#s(approx (+ 2 a) #s(hole binary64 (* a (+ 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 (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* -1 (* a (+ (* -1 (- 1/2 (* 1/4 b))) (* -1 (/ (+ (log 2) (* 1/2 b)) a)))))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* a (+ (* -1 (- 1/2 (* 1/4 b))) (* -1/2 (/ b 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 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (+ 1/2 (* -1/4 a)))))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* 1/2 a) (* b (+ 1/2 (* -1/4 a))))))
#s(approx (- 1/2 (* 1/4 b)) #s(hole binary64 1/2))
#s(approx (- 1/2 (* 1/4 b)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (* 1/4 b) #s(hole binary64 (* 1/4 b)))
#s(approx (* 1/2 b) #s(hole binary64 (* 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 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 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* b (+ 1/2 (* -1/4 a)))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* b (+ 1/2 (+ (* -1/4 a) (+ (* 1/2 (/ a b)) (/ (log 2) b)))))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* b (+ 1/2 (* -1/4 a)))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* b (+ 1/2 (+ (* -1/4 a) (* 1/2 (/ a b)))))))
#s(approx (- 1/2 (* 1/4 b)) #s(hole binary64 (* -1/4 b)))
#s(approx (- 1/2 (* 1/4 b)) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#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 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* -1 (* b (- (* 1/4 a) 1/2)))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* -1 (* b (- (+ (* -1 (/ (+ (log 2) (* 1/2 a)) b)) (* 1/4 a)) 1/2)))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* b (- (* 1/4 a) 1/2)))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* b (- (+ (* -1/2 (/ a b)) (* 1/4 a)) 1/2)))))
#s(approx (- 1/2 (* 1/4 b)) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	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))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 1/2 (log 2) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (- 1/2 (* 1/4 b)) (* 1/4 b) 1/4 (* 1/2 b) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) (- (exp a) -1) (+ 2 a))
21.0ms	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))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 1/2 (log 2) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (- 1/2 (* 1/4 b)) (* 1/4 b) 1/4 (* 1/2 b) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) (- (exp a) -1) (+ 2 a))
19.0ms	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))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 1/2 (log 2) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (- 1/2 (* 1/4 b)) (* 1/4 b) 1/4 (* 1/2 b) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) (- (exp a) -1) (+ 2 a))
17.0ms	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))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 1/2 (log 2) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (- 1/2 (* 1/4 b)) (* 1/4 b) 1/4 (* 1/2 b) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) (- (exp a) -1) (+ 2 a))
13.0ms	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))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 1/2 (log 2) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (- 1/2 (* 1/4 b)) (* 1/4 b) 1/4 (* 1/2 b) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) (- (exp a) -1) (+ 2 a))

rewrite169.0ms (1.7%)

Memory

-27.6MiB live, 215.1MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	486	2852
0	521	2665
1	2800	2651
0	8230	2501

Stop Event

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

Counts

164 → 347

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))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) a)
#s(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)
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)) a (.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)) a (.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))
(+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)) a (.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)) a (.f64 #s(literal 1/2 binary64) b))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b))
(*.f64 #s(literal 1/4 binary64) b)
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/2 binary64) b)
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) (log1p.f64 (exp.f64 a))))
(+.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) (log1p.f64 (exp.f64 a)))
(/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a)))
#s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))
(+.f64 #s(literal 2 binary64) a)
#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 a) #s(hole binary64 1))
#s(approx (+ 1 a) #s(hole binary64 (+ 1 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 (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* 1/2 b) (* a (- 1/2 (* 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 (+ 2 a) #s(hole binary64 2))
#s(approx (+ 2 a) #s(hole binary64 (+ 2 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 a) #s(hole binary64 a))
#s(approx (+ 1 a) #s(hole binary64 (* a (+ 1 (/ 1 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 (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* a (- 1/2 (* 1/4 b)))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* a (- (+ 1/2 (+ (* 1/2 (/ b a)) (/ (log 2) a))) (* 1/4 b)))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* a (- 1/2 (* 1/4 b)))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* a (- (+ 1/2 (* 1/2 (/ b a))) (* 1/4 b)))))
#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 (+ 2 a) #s(hole binary64 a))
#s(approx (+ 2 a) #s(hole binary64 (* a (+ 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 (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* -1 (* a (+ (* -1 (- 1/2 (* 1/4 b))) (* -1 (/ (+ (log 2) (* 1/2 b)) a)))))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* a (+ (* -1 (- 1/2 (* 1/4 b))) (* -1/2 (/ b 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 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (+ 1/2 (* -1/4 a)))))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* 1/2 a) (* b (+ 1/2 (* -1/4 a))))))
#s(approx (- 1/2 (* 1/4 b)) #s(hole binary64 1/2))
#s(approx (- 1/2 (* 1/4 b)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (* 1/4 b) #s(hole binary64 (* 1/4 b)))
#s(approx (* 1/2 b) #s(hole binary64 (* 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 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 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* b (+ 1/2 (* -1/4 a)))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* b (+ 1/2 (+ (* -1/4 a) (+ (* 1/2 (/ a b)) (/ (log 2) b)))))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* b (+ 1/2 (* -1/4 a)))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* b (+ 1/2 (+ (* -1/4 a) (* 1/2 (/ a b)))))))
#s(approx (- 1/2 (* 1/4 b)) #s(hole binary64 (* -1/4 b)))
#s(approx (- 1/2 (* 1/4 b)) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#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 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* -1 (* b (- (* 1/4 a) 1/2)))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* -1 (* b (- (+ (* -1 (/ (+ (log 2) (* 1/2 a)) b)) (* 1/4 a)) 1/2)))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* b (- (* 1/4 a) 1/2)))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* b (- (+ (* -1/2 (/ a b)) (* 1/4 a)) 1/2)))))
#s(approx (- 1/2 (* 1/4 b)) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 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)))
(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)))))
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(/.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)))))))
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a
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(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) b)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/4 binary64) b) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) b) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) b)))))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b))) (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) b) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) b))) (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) b) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b))))) (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) b) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) b) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b))
(+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(*.f64 #s(literal 1/4 binary64) b)
(*.f64 b #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/2 binary64) b)
(*.f64 b #s(literal 1/2 binary64))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) (log1p.f64 (exp.f64 a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) (log1p.f64 (exp.f64 a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) (log1p.f64 (exp.f64 a)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) (log1p.f64 (exp.f64 a))))
(/.f64 (+.f64 (pow.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) (log1p.f64 (exp.f64 a))))))
(-.f64 (/.f64 (pow.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) #s(literal 2 binary64)) (-.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) (log1p.f64 (exp.f64 a)))))
(+.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a)))))
(/.f64 (neg.f64 b) (neg.f64 #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a)))
#s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 a a))) (neg.f64 (-.f64 #s(literal 2 binary64) a)))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 a a) (.f64 #s(literal 2 binary64) a)))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 a a)) (-.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 a a) (.f64 #s(literal 2 binary64) a))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 a a) (-.f64 #s(literal 2 binary64) a)))
(+.f64 #s(literal 2 binary64) a)
(+.f64 a #s(literal 2 binary64))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (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 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #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 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) a (log1p.f64 (exp.f64 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 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (.f64 b #s(literal 0 binary64))) a #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (fma.f64 (.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64) (.f64 b #s(literal -1/48 binary64))) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (.f64 b #s(literal 0 binary64))) a #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) b)) a (.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b) a (.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b (.f64 #s(literal 1/8 binary64) a)) a (.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (fma.f64 (fma.f64 (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) a (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b)) a (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b)))
#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)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) a (/.f64 (log.f64 #s(literal 2 binary64)) b)) #s(literal 1/2 binary64)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (+.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) a (/.f64 (log.f64 #s(literal 2 binary64)) b)) #s(literal 1/2 binary64)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) a (/.f64 #s(literal 1/8 binary64) b)) a (/.f64 #s(literal 1/2 binary64) b)) #s(literal 1/4 binary64)) a (/.f64 (log.f64 #s(literal 2 binary64)) b)) #s(literal 1/2 binary64)))
#s(approx (/ (log (+ 1 (exp a))) b) (/.f64 (log.f64 #s(literal 2 binary64)) b))
#s(approx (/ (log (+ 1 (exp a))) b) (/.f64 (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) b))
#s(approx (/ (log (+ 1 (exp a))) b) (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) b) a (/.f64 (log.f64 #s(literal 2 binary64)) b)))
#s(approx (/ (log (+ 1 (exp a))) b) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b) a (/.f64 #s(literal 1/2 binary64) b)) a (/.f64 (log.f64 #s(literal 2 binary64)) b)))
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
#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 (pow (+ 1 (exp a)) -1/2) 2) #s(literal 1/2 binary64))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) (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 (pow (+ 1 (exp a)) -1/2) 2) (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 (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 (/.f64 a (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) #s(literal -1/128 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 a) #s(literal 1 binary64))
#s(approx (+ 1 a) (+.f64 #s(literal 1 binary64) a))
#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 (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (/ b (- (exp a) -1)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))
#s(approx (/ b (- (exp a) -1)) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) a) (.f64 b #s(literal 0 binary64)) (.f64 #s(literal -1/4 binary64) b)) a (.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ b (- (exp a) -1)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (fma.f64 (.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64) (.f64 b #s(literal -1/48 binary64))) a)) (.f64 b #s(literal 0 binary64))) a (.f64 #s(literal -1/4 binary64) b)) a (.f64 #s(literal 1/2 binary64) b)))
#s(approx (- (exp a) -1) #s(literal 2 binary64))
#s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (- (exp a) -1) (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 (+ 2 a) #s(literal 2 binary64))
#s(approx (+ 2 a) (+.f64 #s(literal 2 binary64) a))
#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 a) a)
#s(approx (+ 1 a) (fma.f64 #s(literal 1 binary64) a #s(literal 1 binary64)))
#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 (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) a) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) b)) a))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (.f64 (-.f64 (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) b)) a))
#s(approx (/ b (- (exp a) -1)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (- (exp a) -1) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ 2 a) a)
#s(approx (+ 2 a) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 1 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 (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) a) #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) a)))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (neg.f64 (*.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) 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 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (+.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b (*.f64 #s(literal 1/2 binary64) a)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (*.f64 #s(literal 1/2 binary64) a))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b (*.f64 #s(literal 1/2 binary64) a)))
#s(approx (- 1/2 (* 1/4 b)) #s(literal 1/2 binary64))
#s(approx (- 1/2 (* 1/4 b)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (* 1/4 b) (*.f64 #s(literal 1/4 binary64) b))
#s(approx (* 1/2 b) (*.f64 #s(literal 1/2 binary64) b))
#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 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (+.f64 (fma.f64 #s(literal -1/4 binary64) a (/.f64 (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) b)) #s(literal 1/2 binary64)) b))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (.f64 (+.f64 (fma.f64 #s(literal -1/4 binary64) a (.f64 (/.f64 a b) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) b))
#s(approx (- 1/2 (* 1/4 b)) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (- 1/2 (* 1/4 b)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 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 (pow (+ 1 (exp a)) -1/2) 2)) 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 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b)))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) a (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) b))) #s(literal 1/2 binary64)) b)))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b)))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (neg.f64 (.f64 (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))) b)))
#s(approx (- 1/2 (* 1/4 b)) (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) b)))

eval87.0ms (0.9%)

Memory: -4.7MiB live, 85.8MiB allocated; 8ms collecting garbage
Compiler: Compiled 14 698 to 1 993 computations (86.4% saved)

prune29.0ms (0.3%)

Memory

-3.2MiB live, 43.8MiB allocated; 2ms collecting garbage

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	383	10	393
Fresh	4	7	11
Picked	3	2	5
Done	0	4	4
Total	390	23	413

Accuracy

98.7%

Counts

413 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.4%	(log.f64 (/.f64 #s(approx (- (pow (exp b) 2) (pow (exp a) 2)) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (-.f64 (exp.f64 b) (exp.f64 a))))
✓	52.6%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
	5.6%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(approx (+ 1 b) b))))
	52.7%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
✓	54.1%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	54.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
✓	50.7%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
	52.9%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
	48.0%	#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)))))
	52.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 #s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b)) (log.f64 #s(literal 2 binary64)))))
	97.2%	#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)))
	60.7%	#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)))
	52.8%	#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)))
	51.8%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
	2.8%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))))
	5.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))))
	52.3%	#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)))))
	52.8%	#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)))))
	52.0%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
✓	51.9%	#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)))))
✓	52.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))
	2.4%	#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 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (.f64 a a)))))
	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 1 624 to 696 computations (57.1% saved)

regimes58.0ms (0.6%)

Memory

5.9MiB live, 104.0MiB allocated; 8ms collecting garbage

Counts

40 → 1

Calls

Call 1

Inputs
#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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))))
#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 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #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 (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 #s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #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))) (+.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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 (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)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)) a (.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 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (.f64 b #s(literal 0 binary64))) a #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) b)) a (*.f64 #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 #s(approx (exp a) #s(literal 1 binary64)) (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)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) (log1p.f64 (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)))))
(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 (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) 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 #s(approx (pow (+ 1 (exp a)) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) b)))
(log.f64 (/.f64 #s(approx (- (pow (exp b) 2) (pow (exp a) 2)) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (-.f64 (exp.f64 b) (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 (+.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)))
(log.f64 (/.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))))
#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)))

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:

11.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
10.0ms	b
10.0ms	a
9.0ms	(exp.f64 b)
8.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
97.3%	1	`(exp.f64 b)`
97.3%	1	`(exp.f64 a)`
97.3%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
97.3%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
97.3%	1	`a`
97.3%	1	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes45.0ms (0.5%)

Memory

4.5MiB live, 98.9MiB allocated; 2ms collecting garbage

Counts

32 → 2

Calls

Call 1

Inputs
#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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))))
#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 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #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 (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 #s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #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))) (+.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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 (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)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)) a (.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 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (.f64 b #s(literal 0 binary64))) a #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) b)) a (*.f64 #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 #s(approx (exp a) #s(literal 1 binary64)) (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)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) (log1p.f64 (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)))))
(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	a
8.0ms	b
6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
6.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
58.4%	2	`(exp.f64 b)`
97.8%	2	`(exp.f64 a)`
98.0%	3	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.0%	3	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
97.8%	2	`a`
71.4%	3	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes16.0ms (0.2%)

Memory

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

Counts

31 → 2

Calls

Call 1

Inputs
#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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))))
#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 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #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 (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 #s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #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))) (+.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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 (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)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)) a (.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 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (.f64 b #s(literal 0 binary64))) a #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) b)) a (*.f64 #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 #s(approx (exp a) #s(literal 1 binary64)) (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)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) (log1p.f64 (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)))))

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

Calls

2 calls:

8.0ms	a
6.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.3%	2	`(exp.f64 a)`
97.3%	2	`a`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes21.0ms (0.2%)

Memory

-31.0MiB live, 19.9MiB allocated; 13ms collecting garbage

Counts

29 → 2

Calls

Call 1

Inputs
#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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))))
#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 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #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 (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 #s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #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))) (+.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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 (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)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)) a (.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 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (.f64 b #s(literal 0 binary64))) a #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) b)) a (*.f64 #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 #s(approx (exp a) #s(literal 1 binary64)) (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)))))

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

Calls

2 calls:

14.0ms	a
6.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes13.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Counts

25 → 2

Calls

Call 1

Inputs
#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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))))
#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 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #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 (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 #s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #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))) (+.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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 (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)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)) a (.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 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (.f64 b #s(literal 0 binary64))) a #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) b)) a (*.f64 #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))) (log1p.f64 (exp.f64 a)))

Calls

2 calls:

7.0ms	a
5.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes15.0ms (0.2%)

Memory

-25.6MiB live, 20.5MiB allocated; 3ms collecting garbage

Counts

24 → 2

Calls

Call 1

Inputs
#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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))))
#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 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #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 (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 #s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #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))) (+.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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 (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)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)) a (.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 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (.f64 b #s(literal 0 binary64))) a #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 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)))))

#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 b #s(literal 0 binary64))) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))))

Calls

2 calls:

9.0ms	a
5.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes22.0ms (0.2%)

Memory

32.0MiB live, 32.0MiB allocated; 0ms collecting garbage

Counts

23 → 2

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	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
96.2%	3	`(+.f64 (exp.f64 a) (exp.f64 b))`
96.2%	3	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
96.1%	2	`(exp.f64 a)`
96.1%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes13.0ms (0.1%)

Memory

-28.4MiB live, 17.9MiB allocated; 3ms collecting garbage

Counts

20 → 2

Calls

Call 1

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

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

2 calls:

7.0ms	a
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
96.1%	2	`(exp.f64 a)`
96.1%	2	`a`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes9.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Counts

16 → 2

Calls

Call 1

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

#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

2 calls:

5.0ms	a
3.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
96.0%	2	`(exp.f64 a)`
96.0%	2	`a`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes23.0ms (0.2%)

Memory

-11.4MiB live, 34.7MiB allocated; 2ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	b
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
52.9%	1	`(exp.f64 b)`
52.9%	1	`b`
52.9%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
52.9%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
52.9%	1	`(exp.f64 a)`
52.9%	1	`a`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes16.0ms (0.2%)

Memory

20.5MiB live, 20.5MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Outputs

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

6 calls:

3.0ms	a
3.0ms	b
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
52.2%	1	`b`
52.2%	1	`(exp.f64 b)`
54.1%	2	`(exp.f64 a)`
53.9%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
53.9%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
54.1%	2	`a`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes5.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

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

2 calls:

3.0ms	a
2.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
54.1%	2	`a`
54.1%	2	`(exp.f64 a)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes13.0ms (0.1%)

Memory

-34.3MiB live, 15.3MiB allocated; 7ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms	a
2.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
2.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
52.2%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
52.2%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
52.2%	1	`a`
52.2%	1	`(exp.f64 a)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes10.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

Outputs

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

Results

Accuracy	Segments	Branch
5.4%	1	`(exp.f64 a)`
5.4%	1	`b`
5.4%	1	`(exp.f64 b)`
5.4%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
5.4%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
5.4%	1	`a`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes6.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
#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)))))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
3.2%	1	`(exp.f64 b)`
3.2%	1	`(exp.f64 a)`
3.2%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
3.2%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
3.2%	1	`a`
3.2%	1	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

bsearch14.0ms (0.1%)

Memory

-29.2MiB live, 16.6MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-0.6840154417722231	-0.00692333130250126

Samples

8.0ms

112×

valid

Compiler

Compiled 233 to 200 computations (14.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-exp: 4.0ms (67.9% of total)

ival-add: 1.0ms (17% of total)

ival-log: 1.0ms (17% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch38.0ms (0.4%)

Memory

42.8MiB live, 42.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
36.0ms	-15940.179377980357	-432.78194539286284

Samples

18.0ms	41×	2	valid
13.0ms	63×	1	valid
1.0ms	8×	0	valid

Compiler

Compiled 338 to 270 computations (20.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-log: 12.0ms (44.8% of total)

ival-exp: 10.0ms (37.3% of total)

adjust: 3.0ms (11.2% of total)

ival-add: 1.0ms (3.7% of total)

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

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

bsearch3.0ms (0%)

Memory

-44.5MiB live, 1.3MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	-0.6840154417722231	-0.00692333130250126

Compiler

Compiled 261 to 221 computations (15.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.10965825552838e-188

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.10965825552838e-188	9.517312502113468e-28

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch12.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-62.21927009508237	-0.6840154417722231

Samples

6.0ms

112×

valid

Compiler

Compiled 422 to 326 computations (22.7% saved)

Precisions

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

ival-exp: 2.0ms (54.8% of total)

ival-add: 1.0ms (27.4% of total)

ival-log: 1.0ms (27.4% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-0.6840154417722231	-0.00692333130250126

Compiler

Compiled 317 to 249 computations (21.5% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-0.6840154417722231	-0.00692333130250126

Compiler

Compiled 338 to 277 computations (18% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.504586780159266	0.9931005797424769

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.504586780159266	0.9931005797424769

Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify80.0ms (0.8%)

Memory

-7.7MiB live, 38.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	598
1	168	598
2	270	598
3	562	598
4	1582	598
5	7703	598

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -5944751508129055/9007199254740992 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 -440 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))) (+.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) (log1p.f64 (exp.f64 a)))))
(if (<=.f64 a #s(literal -5944751508129055/9007199254740992 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 (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))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 (exp.f64 a) #s(literal 3135285318820699/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568 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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (.f64 b #s(literal 0 binary64))) a #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -3039929748475085/2251799813685248 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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)) a (.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -5944751508129055/9007199254740992 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 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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 a #s(literal -5944751508129055/9007199254740992 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 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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 5404319552844595/9007199254740992 binary64)) (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #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 (exp.f64 a) #s(literal 5404319552844595/9007199254740992 binary64)) (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #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))) #s(approx (log (+ 1 (exp a))) (log.f64 #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 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #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)))))

Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -5944751508129055/9007199254740992 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 -440 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))) (+.f64 (/.f64 b #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))) (log1p.f64 (exp.f64 a)))))
(if (<=.f64 a #s(literal -5944751508129055/9007199254740992 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 (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))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 (exp.f64 a) #s(literal 3135285318820699/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568 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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (.f64 b #s(literal 0 binary64))) a #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -3039929748475085/2251799813685248 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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)) a (.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -5944751508129055/9007199254740992 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 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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 a #s(literal -5944751508129055/9007199254740992 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 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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 5404319552844595/9007199254740992 binary64)) (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #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 (exp.f64 a) #s(literal 5404319552844595/9007199254740992 binary64)) (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #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))) #s(approx (log (+ 1 (exp a))) (log.f64 #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 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #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)))))

derivations470.0ms (4.8%)

Memory

36.4MiB live, 364.3MiB allocated; 39ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 598 to 131 computations (78.1% saved)

preprocess145.0ms (1.5%)

Memory: -11.1MiB live, 105.6MiB allocated; 123ms collecting garbage
Compiler: Compiled 1 280 to 324 computations (74.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze151.0ms (1.5%)

sample6.7s (68%)

explain150.0ms (1.5%)

preprocess209.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

series102.0ms (1%)

rewrite162.0ms (1.7%)

eval11.0ms (0.1%)

prune6.0ms (0.1%)

series227.0ms (2.3%)

rewrite189.0ms (1.9%)

eval40.0ms (0.4%)

prune18.0ms (0.2%)

series123.0ms (1.3%)

rewrite237.0ms (2.4%)

eval40.0ms (0.4%)

prune37.0ms (0.4%)

series99.0ms (1%)

rewrite169.0ms (1.7%)

eval87.0ms (0.9%)

prune29.0ms (0.3%)

regimes58.0ms (0.6%)

regimes45.0ms (0.5%)

regimes16.0ms (0.2%)

regimes21.0ms (0.2%)

regimes13.0ms (0.1%)

regimes15.0ms (0.2%)

regimes22.0ms (0.2%)

regimes13.0ms (0.1%)

regimes9.0ms (0.1%)

regimes23.0ms (0.2%)

regimes16.0ms (0.2%)

regimes5.0ms (0.1%)

regimes13.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch38.0ms (0.4%)

bsearch3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch12.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify80.0ms (0.8%)

derivations470.0ms (4.8%)

preprocess145.0ms (1.5%)

end0.0ms (0%)

Profiling