Metrics for symmetry log of sum of exp

start0.0ms (0%)

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

analyze342.0ms (3.5%)

Memory

87.7MiB live, 230.0MiB allocated; 120ms 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)

sample6.5s (66.4%)

Memory

-75.2MiB live, 5 596.0MiB allocated; 2.3s collecting garbage

Samples

3.7s	7 805×	5	exit
958.0ms	1 572×	2	valid
521.0ms	2 272×	1	valid
266.0ms	4 412×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.8s

ival-log: 1.3s (33.5% of total)

adjust: 1.1s (29.5% of total)

ival-exp: 1.1s (29.1% of total)

ival-add: 288.0ms (7.6% of total)

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

Bogosity

explain168.0ms (1.7%)

Memory

19.9MiB live, 264.7MiB allocated; 32ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	sensitivity	125	0
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	oflow-rescue	4	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	4
↳	`(exp.f64 a)`	overflow	4

Confusion

	Predicted +	Predicted -
+	129	0
-	0	127

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	129	0	0
-	0	0	127

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	127
1	129

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms	102×	2	valid
38.0ms	146×	1	valid
17.0ms	264×	0	valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-log: 54.0ms (57.8% of total)

ival-exp: 26.0ms (27.9% of total)

adjust: 8.0ms (8.6% of total)

ival-add: 5.0ms (5.4% of total)

ival-true: 1.0ms (1.1% of total)

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

preprocess170.0ms (1.8%)

Memory

-17.6MiB live, 161.5MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	42
1	37	42
2	94	42
3	358	42
4	1773	42
5	6967	42
0	6	6
0	10	6
1	17	6
2	40	6
3	112	6
4	515	6
5	5179	6
0	8304	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort a b)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.9%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 6 to 6 computations (0% saved)

series121.0ms (1.2%)

Memory

25.6MiB live, 69.5MiB allocated; 4ms 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
52.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
28.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
22.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
15.0ms	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)

rewrite224.0ms (2.3%)

Memory

-5.0MiB live, 273.2MiB allocated; 59ms 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))

eval8.0ms (0.1%)

Memory: 22.9MiB live, 22.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 099 to 293 computations (73.3% saved)

prune9.0ms (0.1%)

Memory

-26.4MiB live, 19.1MiB allocated; 4ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	64	7	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	8	72

Accuracy

99.0%

Counts

72 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.9%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	51.9%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
▶	51.7%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
▶	51.3%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
▶	98.6%	#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))))
	98.4%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
▶	49.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
▶	49.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))

Compiler

Compiled 232 to 172 computations (25.9% saved)

series148.0ms (1.5%)

Memory

10.7MiB live, 252.5MiB allocated; 47ms collecting garbage

Counts

29 → 95

Calls

Call 1

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

Outputs
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* a (+ 1/2 (* -1/4 b))) (* b (+ 1/2 (* 1/8 b)))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (* -1/32 (pow b 2))))))) (* b (+ 1/2 (* 1/8 b)))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (+ (* -1/32 (pow b 2)) (* 1/48 (* a b)))))))) (* b (+ 1/2 (* 1/8 b)))))))
#s(approx (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) #s(hole binary64 (+ 1/2 (* 1/8 b))))
#s(approx (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* -1/4 a) (* 1/8 b)))))
#s(approx (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* 1/8 b) (* a (- (* -1/32 (* a b)) 1/4))))))
#s(approx (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* 1/8 b) (* a (- (* a (+ (* -1/32 b) (* 1/48 a))) 1/4))))))
#s(approx (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2)) #s(hole binary64 1/4))
#s(approx (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2)) #s(hole binary64 (+ 1/4 (* -1/16 (pow a 2)))))
#s(approx (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow a 2) (- (* 1/96 (pow a 2)) 1/16)))))
#s(approx (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow a 2) (- (* (pow a 2) (+ 1/96 (* -17/11520 (pow a 2)))) 1/16)))))
#s(approx (pow (- (exp a) -1) -1) #s(hole binary64 1/2))
#s(approx (pow (- (exp a) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 a))))
#s(approx (pow (- (exp a) -1) -1) #s(hole binary64 (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))))
#s(approx (pow (- (exp a) -1) -1) #s(hole binary64 (+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))))
#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 (pow (- (exp a) -1) -2) #s(hole binary64 1/4))
#s(approx (pow (- (exp a) -1) -2) #s(hole binary64 (+ 1/4 (* -1/4 a))))
#s(approx (pow (- (exp a) -1) -2) #s(hole binary64 (+ 1/4 (* a (- (* 1/16 a) 1/4)))))
#s(approx (pow (- (exp a) -1) -2) #s(hole binary64 (+ 1/4 (* a (- (* a (+ 1/16 (* 1/48 a))) 1/4)))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #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 (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) #s(hole binary64 (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
#s(approx (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2)) #s(hole binary64 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))
#s(approx (pow (- (exp a) -1) -1) #s(hole binary64 (/ 1 (+ 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 (pow (- (exp a) -1) -2) #s(hole binary64 (/ 1 (pow (+ 1 (exp a)) 2))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#s(approx (* 1/2 b) #s(hole binary64 (* 1/2 b)))
#s(approx b #s(hole binary64 b))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (- b -1) #s(hole binary64 1))
#s(approx (- b -1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (* 1/2 (* (pow b 2) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (* b (+ 1 (exp a))))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))))))
#s(approx (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) #s(hole binary64 (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))))
#s(approx (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) #s(hole binary64 (* b (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (* b (+ 1 (exp a))))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (- b -1) #s(hole binary64 b))
#s(approx (- b -1) #s(hole binary64 (* b (+ 1 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b)) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))))))
#s(approx (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) #s(hole binary64 (* -1 (* b (- (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (* b (+ 1 (exp a)))))))))

Calls

6 calls:

Time	Variable		Point	Expression
37.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) (* 1/2 b) 1/2 b (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2)) (pow (- (exp a) -1) -1) (- (exp a) -1) (exp a) a -1 (pow (- (exp a) -1) -2) -2 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (- b -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1)
30.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) (* 1/2 b) 1/2 b (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2)) (pow (- (exp a) -1) -1) (- (exp a) -1) (exp a) a -1 (pow (- (exp a) -1) -2) -2 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (- b -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1)
27.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) (* 1/2 b) 1/2 b (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2)) (pow (- (exp a) -1) -1) (- (exp a) -1) (exp a) a -1 (pow (- (exp a) -1) -2) -2 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (- b -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1)
27.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) (* 1/2 b) 1/2 b (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2)) (pow (- (exp a) -1) -1) (- (exp a) -1) (exp a) a -1 (pow (- (exp a) -1) -2) -2 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (- b -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1)
22.0ms	a	@	0	((log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) (* 1/2 b) 1/2 b (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2)) (pow (- (exp a) -1) -1) (- (exp a) -1) (exp a) a -1 (pow (- (exp a) -1) -2) -2 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (- b -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1)

rewrite214.0ms (2.2%)

Memory

9.9MiB live, 292.7MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	376	2303
0	411	2251
1	2292	2247
0	10067	2162

Stop Event

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

Counts

124 → 258

Calls

Call 1

Inputs
#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))))
(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)))
(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)))
(*.f64 #s(literal 1/2 binary64) b)
#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))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(exp.f64 a)
a
#s(literal -1 binary64)
(pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -2 binary64))
#s(literal -2 binary64)
(log1p.f64 (exp.f64 a))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(exp.f64 b)
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))
#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
(-.f64 b #s(literal -1 binary64))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* a (+ 1/2 (* -1/4 b))) (* b (+ 1/2 (* 1/8 b)))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (* -1/32 (pow b 2))))))) (* b (+ 1/2 (* 1/8 b)))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (+ (* -1/32 (pow b 2)) (* 1/48 (* a b)))))))) (* b (+ 1/2 (* 1/8 b)))))))
#s(approx (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) #s(hole binary64 (+ 1/2 (* 1/8 b))))
#s(approx (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* -1/4 a) (* 1/8 b)))))
#s(approx (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* 1/8 b) (* a (- (* -1/32 (* a b)) 1/4))))))
#s(approx (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* 1/8 b) (* a (- (* a (+ (* -1/32 b) (* 1/48 a))) 1/4))))))
#s(approx (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2)) #s(hole binary64 1/4))
#s(approx (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2)) #s(hole binary64 (+ 1/4 (* -1/16 (pow a 2)))))
#s(approx (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow a 2) (- (* 1/96 (pow a 2)) 1/16)))))
#s(approx (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow a 2) (- (* (pow a 2) (+ 1/96 (* -17/11520 (pow a 2)))) 1/16)))))
#s(approx (pow (- (exp a) -1) -1) #s(hole binary64 1/2))
#s(approx (pow (- (exp a) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 a))))
#s(approx (pow (- (exp a) -1) -1) #s(hole binary64 (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))))
#s(approx (pow (- (exp a) -1) -1) #s(hole binary64 (+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))))
#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 (pow (- (exp a) -1) -2) #s(hole binary64 1/4))
#s(approx (pow (- (exp a) -1) -2) #s(hole binary64 (+ 1/4 (* -1/4 a))))
#s(approx (pow (- (exp a) -1) -2) #s(hole binary64 (+ 1/4 (* a (- (* 1/16 a) 1/4)))))
#s(approx (pow (- (exp a) -1) -2) #s(hole binary64 (+ 1/4 (* a (- (* a (+ 1/16 (* 1/48 a))) 1/4)))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #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 (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) #s(hole binary64 (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
#s(approx (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2)) #s(hole binary64 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))
#s(approx (pow (- (exp a) -1) -1) #s(hole binary64 (/ 1 (+ 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 (pow (- (exp a) -1) -2) #s(hole binary64 (/ 1 (pow (+ 1 (exp a)) 2))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#s(approx (* 1/2 b) #s(hole binary64 (* 1/2 b)))
#s(approx b #s(hole binary64 b))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (- b -1) #s(hole binary64 1))
#s(approx (- b -1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (* 1/2 (* (pow b 2) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (* b (+ 1 (exp a))))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))))))
#s(approx (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) #s(hole binary64 (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))))
#s(approx (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) #s(hole binary64 (* b (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (* b (+ 1 (exp a))))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (- b -1) #s(hole binary64 b))
#s(approx (- b -1) #s(hole binary64 (* b (+ 1 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b)) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))))))
#s(approx (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) #s(hole binary64 (* -1 (* b (- (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (* b (+ 1 (exp a)))))))))

Outputs
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.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))) (*.f64 #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))))
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#s(approx (pow (- (exp a) -1) -1) (fma.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (pow (- (exp a) -1) -1) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 a a) #s(literal 1/48 binary64)) (*.f64 a a)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (- (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 (pow (- (exp a) -1) -2) #s(literal 1/4 binary64))
#s(approx (pow (- (exp a) -1) -2) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/4 binary64)))
#s(approx (pow (- (exp a) -1) -2) (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) a) #s(literal 1/4 binary64)) a #s(literal 1/4 binary64)))
#s(approx (pow (- (exp a) -1) -2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) a #s(literal 1/16 binary64)) a) #s(literal 1/4 binary64)) a #s(literal 1/4 binary64)))
#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 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (+ (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 (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (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 (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) (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))))
#s(approx (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2)) (-.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(approx (pow (- (exp a) -1) -1) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
#s(approx (- (exp a) -1) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (exp a) (exp.f64 a))
#s(approx (pow (- (exp a) -1) -2) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)))
#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 (+ (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 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal 3 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 (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (log1p.f64 (exp.f64 a)))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
#s(approx (* 1/2 b) (*.f64 #s(literal 1/2 binary64) b))
#s(approx b b)
#s(approx (log (+ 1 (exp b))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (- b -1) #s(literal 1 binary64))
#s(approx (- b -1) (+.f64 #s(literal 1 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (+.f64 #s(literal 1 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (+ (* 1/2 b) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (.f64 (.f64 (*.f64 b b) #s(literal 1/2 binary64)) (-.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(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (.f64 (fma.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) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -1 binary64))) (*.f64 b b)))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (.f64 (fma.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) (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) (.f64 b b)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -1 binary64)))) (.f64 b b)))
#s(approx (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) (.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)))))
#s(approx (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) (.f64 (fma.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) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -1 binary64))) b))
#s(approx (log (+ 1 (exp b))) (log1p.f64 (exp.f64 b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (- b -1) b)
#s(approx (- b -1) (fma.f64 #s(literal 1 binary64) b #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (.f64 (.f64 b b) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 b #s(literal -2 binary64))) (.f64 b b)))
#s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (* 1/2 b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (.f64 (fma.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) (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))) (.f64 b b)))
#s(approx (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) (neg.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (-.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 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -1 binary64))) b)))

eval54.0ms (0.6%)

Memory: -2.6MiB live, 88.1MiB allocated; 9ms collecting garbage
Compiler: Compiled 13 645 to 1 620 computations (88.1% saved)

prune20.0ms (0.2%)

Memory

-12.5MiB live, 42.4MiB allocated; 5ms collecting garbage

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	371	10	381
Fresh	0	2	2
Picked	1	4	5
Done	0	1	1
Total	372	17	389

Accuracy

99.0%

Counts

389 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.9%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	51.9%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
✓	51.7%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
✓	51.3%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
	57.7%	#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a))))
▶	98.4%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
✓	49.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	49.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
▶	49.0%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
▶	48.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
	48.4%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
	46.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
▶	49.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
	49.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
▶	49.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
	48.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
	48.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))

Compiler

Compiled 578 to 426 computations (26.3% saved)

series82.0ms (0.8%)

Memory

5.0MiB live, 141.5MiB allocated; 8ms collecting garbage

Counts

28 → 81

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

Outputs
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (/ 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 (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* a (+ 1/2 (* -1/4 b))) (* b (+ 1/2 (* 1/8 b)))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (* -1/32 (pow b 2))))))) (* b (+ 1/2 (* 1/8 b)))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (+ (* -1/32 (pow b 2)) (* 1/48 (* a b)))))))) (* b (+ 1/2 (* 1/8 b)))))))
#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 (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #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)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx b #s(hole binary64 b))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ 1 b) #s(hole binary64 1))
#s(approx (+ 1 b) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ 1 b) #s(hole binary64 b))
#s(approx (+ 1 b) #s(hole binary64 (* b (+ 1 (/ 1 b)))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (* 1/2 (* (pow b 2) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (* b (+ 1 (exp a))))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* 1/8 (pow b 2))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* 1/8 b)))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* b (+ 1/8 (* 1/2 (/ 1 b))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b)) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))))

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	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 (+ 1 (exp b))) (exp b) 1 (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) 1/8)
19.0ms	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 (+ 1 (exp b))) (exp b) 1 (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) 1/8)
18.0ms	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 (+ 1 (exp b))) (exp b) 1 (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) 1/8)
16.0ms	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 (+ 1 (exp b))) (exp b) 1 (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) 1/8)
7.0ms	b	@	0	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) 1 (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) 1/8)

rewrite224.0ms (2.3%)

Memory

38.8MiB live, 176.1MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	350	2027
0	371	1935
1	2178	1931
0	9539	1822

Stop Event

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

Counts

109 → 193

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 #s(approx (exp b) #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
(+.f64 #s(literal 1 binary64) b)
#s(approx (log (+ (exp a) (exp b))) #s(approx (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 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (/ 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 (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* a (+ 1/2 (* -1/4 b))) (* b (+ 1/2 (* 1/8 b)))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (* -1/32 (pow b 2))))))) (* b (+ 1/2 (* 1/8 b)))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (+ (* -1/32 (pow b 2)) (* 1/48 (* a b)))))))) (* b (+ 1/2 (* 1/8 b)))))))
#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 (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #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)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx b #s(hole binary64 b))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ 1 b) #s(hole binary64 1))
#s(approx (+ 1 b) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ 1 b) #s(hole binary64 b))
#s(approx (+ 1 b) #s(hole binary64 (* b (+ 1 (/ 1 b)))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (* 1/2 (* (pow b 2) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (* b (+ 1 (exp a))))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* 1/8 (pow b 2))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* 1/8 b)))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* b (+ 1/8 (* 1/2 (/ 1 b))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b)) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))))

Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(/.f64 (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))))
(-.f64 (/.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))))
(+.f64 (/.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))))))
(+.f64 (/.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 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (neg.f64 b) (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
b
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (+.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 (exp.f64 a) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (+.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 a) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 a) #s(literal -1 binary64))))))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (.f64 (sinh.f64 a) (sinh.f64 a)) (.f64 (cosh.f64 a) (sinh.f64 a)))))
(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.f64 a))
a
#s(literal -1 binary64)
(log1p.f64 (exp.f64 a))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp b) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) #s(approx (exp b) #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(-.f64 (log1p.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))))
(log.f64 (+.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64)))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 b b (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 b b))) (neg.f64 (-.f64 #s(literal 1 binary64) b)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 #s(literal 1 binary64) b)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b b)) (-.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 #s(literal 1 binary64) b))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) b)) (/.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) b)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 #s(literal 1 binary64) b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 #s(literal 1 binary64) b)))))
(+.f64 #s(literal 1 binary64) b)
(+.f64 b #s(literal 1 binary64))
#s(approx (log (+ (exp a) (exp b))) #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 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) b))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) b))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) b)))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) b)))))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) b))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) b))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) b))))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) (log.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) (log.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) (log.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) (log.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) (log.f64 #s(literal 2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) b))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/512 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) b))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) b)))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) b)))))
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
(fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) b))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) b))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) b))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) b))))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) b))))))
(+.f64 (*.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) b))
#s(literal 1/8 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)))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) 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 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b #s(literal 0 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 (/ 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 (.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 #s(literal -1/2 binary64) (.f64 b #s(literal 0 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 (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 (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (.f64 (+.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/32 binary64) #s(literal 1/8 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64)) a)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (.f64 (+.f64 (fma.f64 (+.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 b a) (.f64 (.f64 b b) #s(literal -1/32 binary64))) #s(literal 1/8 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64)) a)) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (/ 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 (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (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))) (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 (log (+ 1 (exp b))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (+ 1 b) #s(literal 1 binary64))
#s(approx (+ 1 b) (+.f64 #s(literal 1 binary64) b))
#s(approx (+ (* 1/2 b) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* 1/2 b) (log 2)) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (log1p.f64 (exp.f64 a)))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* 1/8 b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/8 b) 1/2) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b))
#s(approx (log (+ 1 (exp b))) (log1p.f64 (exp.f64 b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (+ 1 b) b)
#s(approx (+ 1 b) (fma.f64 #s(literal 1 binary64) b #s(literal 1 binary64)))
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 b 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)))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (.f64 (fma.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) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -1 binary64))) (*.f64 b b)))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (.f64 (fma.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) (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) (.f64 b b)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -1 binary64)))) (.f64 b b)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 b b))) (*.f64 b b)))
#s(approx (+ (* 1/8 b) 1/2) (*.f64 #s(literal 1/8 binary64) b))
#s(approx (+ (* 1/8 b) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) b))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 a))) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b)))
#s(approx (+ (* 1/2 b) (log 2)) (neg.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) b) #s(literal 1/2 binary64)) b)))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (.f64 (fma.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) (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))) (.f64 b b)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) b) #s(literal 1/2 binary64)) b) #s(literal -1 binary64) #s(literal 1/8 binary64)) (.f64 b b)))

eval35.0ms (0.4%)

Memory: -46.5MiB live, 58.1MiB allocated; 14ms collecting garbage
Compiler: Compiled 7 695 to 957 computations (87.6% saved)

prune16.0ms (0.2%)

Memory

33.4MiB live, 33.4MiB allocated; 0ms collecting garbage

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	205	7	212
Fresh	3	4	7
Picked	1	4	5
Done	4	1	5
Total	213	16	229

Accuracy

99.0%

Counts

229 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	49.0%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
	51.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b))))
✓	48.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
	48.4%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
▶	46.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
▶	53.1%	#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)))))
✓	49.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
▶	9.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b)))))
	5.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))
	49.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
✓	49.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
	49.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b))))
▶	12.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
▶	48.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
	48.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))

Compiler

Compiled 714 to 514 computations (28% saved)

series133.0ms (1.4%)

Memory

-1.1MiB live, 232.4MiB allocated; 22ms collecting garbage

Counts

31 → 94

Calls

Call 1

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

Outputs
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (+ 1 (exp a))) #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 (+ 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) #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 (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* a (+ 1/2 (* -1/4 b))) (* b (+ 1/2 (* 1/8 b)))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (* -1/32 (pow b 2))))))) (* b (+ 1/2 (* 1/8 b)))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (+ (* -1/32 (pow b 2)) (* 1/48 (* a b)))))))) (* b (+ 1/2 (* 1/8 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 (+ 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 (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 (+ 1 (exp a))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #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 (+ 1 (exp a))) #s(hole binary64 (log (+ 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 (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx b #s(hole binary64 b))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (* 1/2 b) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (* (+ (/ 1/2 b) 1/8) (* b b)) #s(hole binary64 (* 1/2 b)))
#s(approx (* (+ (/ 1/2 b) 1/8) (* b b)) #s(hole binary64 (* b (+ 1/2 (* 1/8 b)))))
#s(approx (+ (/ 1/2 b) 1/8) #s(hole binary64 (/ 1/2 b)))
#s(approx (+ (/ 1/2 b) 1/8) #s(hole binary64 (/ (+ 1/2 (* 1/8 b)) b)))
#s(approx (/ 1/2 b) #s(hole binary64 (/ 1/2 b)))
#s(approx (* b b) #s(hole binary64 (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 b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (* 1/2 (* (pow b 2) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (* b (+ 1 (exp a))))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* 1/8 (pow b 2))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))))
#s(approx (* (+ (/ 1/2 b) 1/8) (* b b)) #s(hole binary64 (* 1/8 (pow b 2))))
#s(approx (* (+ (/ 1/2 b) 1/8) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))))
#s(approx (+ (/ 1/2 b) 1/8) #s(hole binary64 1/8))
#s(approx (+ (/ 1/2 b) 1/8) #s(hole binary64 (+ 1/8 (* 1/2 (/ 1 b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b)) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))))

Calls

6 calls:

Time	Variable		Point	Expression
63.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) b (+ 1 (exp a)) 1 (exp a) a (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* 1/2 b) (log 2)) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (* (+ (/ 1/2 b) 1/8) (* b b)) (+ (/ 1/2 b) 1/8) (/ 1/2 b) 1/8 (* b b) (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) (log 2) 2)
22.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) b (+ 1 (exp a)) 1 (exp a) a (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* 1/2 b) (log 2)) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (* (+ (/ 1/2 b) 1/8) (* b b)) (+ (/ 1/2 b) 1/8) (/ 1/2 b) 1/8 (* b b) (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) (log 2) 2)
20.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) b (+ 1 (exp a)) 1 (exp a) a (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* 1/2 b) (log 2)) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (* (+ (/ 1/2 b) 1/8) (* b b)) (+ (/ 1/2 b) 1/8) (/ 1/2 b) 1/8 (* b b) (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) (log 2) 2)
19.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) b (+ 1 (exp a)) 1 (exp a) a (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* 1/2 b) (log 2)) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (* (+ (/ 1/2 b) 1/8) (* b b)) (+ (/ 1/2 b) 1/8) (/ 1/2 b) 1/8 (* b b) (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) (log 2) 2)
5.0ms	b	@	0	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) b (+ 1 (exp a)) 1 (exp a) a (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* 1/2 b) (log 2)) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (* (+ (/ 1/2 b) 1/8) (* b b)) (+ (/ 1/2 b) 1/8) (/ 1/2 b) 1/8 (* b b) (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) (log 2) 2)

rewrite200.0ms (2.1%)

Memory

9.9MiB live, 281.2MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	382	2457
0	400	2367
1	2265	2362
0	9852	2123

Stop Event

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

Counts

125 → 230

Calls

Call 1

Inputs
#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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
b
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(literal 1 binary64)
(exp.f64 a)
a
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b)))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b)))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64))
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/8 binary64)
(*.f64 b b)
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp 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))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (+ 1 (exp a))) #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 (+ 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) #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 (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* a (+ 1/2 (* -1/4 b))) (* b (+ 1/2 (* 1/8 b)))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (* -1/32 (pow b 2))))))) (* b (+ 1/2 (* 1/8 b)))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (+ (* -1/32 (pow b 2)) (* 1/48 (* a b)))))))) (* b (+ 1/2 (* 1/8 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 (+ 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 (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 (+ 1 (exp a))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #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 (+ 1 (exp a))) #s(hole binary64 (log (+ 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 (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx b #s(hole binary64 b))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (* 1/2 b) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (* (+ (/ 1/2 b) 1/8) (* b b)) #s(hole binary64 (* 1/2 b)))
#s(approx (* (+ (/ 1/2 b) 1/8) (* b b)) #s(hole binary64 (* b (+ 1/2 (* 1/8 b)))))
#s(approx (+ (/ 1/2 b) 1/8) #s(hole binary64 (/ 1/2 b)))
#s(approx (+ (/ 1/2 b) 1/8) #s(hole binary64 (/ (+ 1/2 (* 1/8 b)) b)))
#s(approx (/ 1/2 b) #s(hole binary64 (/ 1/2 b)))
#s(approx (* b b) #s(hole binary64 (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 b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (* 1/2 (* (pow b 2) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (* b (+ 1 (exp a))))))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* 1/8 (pow b 2))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))))
#s(approx (* (+ (/ 1/2 b) 1/8) (* b b)) #s(hole binary64 (* 1/8 (pow b 2))))
#s(approx (* (+ (/ 1/2 b) 1/8) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))))
#s(approx (+ (/ 1/2 b) 1/8) #s(hole binary64 1/8))
#s(approx (+ (/ 1/2 b) 1/8) #s(hole binary64 (+ 1/8 (* 1/2 (/ 1 b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b)) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))))

Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #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))))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (neg.f64 b) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
b
(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))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (exp.f64 a))))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (exp.f64 a))))))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (.f64 (sinh.f64 a) (sinh.f64 a)) (.f64 (cosh.f64 a) (sinh.f64 a)))))
(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.f64 a))
a
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
(*.f64 b #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) b) b))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) b) b)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) b) b))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) b) b)
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b))
(.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 b b) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b) (.f64 b b)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 b b) #s(literal 1/8 binary64)) (.f64 (.f64 b b) #s(literal 1/8 binary64)) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b) (.f64 b b)) (.f64 (/.f64 #s(literal 1/2 binary64) b) (.f64 b b))) (.f64 (.f64 (.f64 b b) #s(literal 1/8 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) b) (.f64 b b))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 b b) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 b b) (/.f64 #s(literal 1/2 binary64) b)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 b b) #s(literal 1/8 binary64)) (.f64 (.f64 b b) #s(literal 1/8 binary64)) (-.f64 (.f64 (.f64 (.f64 b b) (/.f64 #s(literal 1/2 binary64) b)) (.f64 (.f64 b b) (/.f64 #s(literal 1/2 binary64) b))) (.f64 (.f64 (.f64 b b) #s(literal 1/8 binary64)) (.f64 (.f64 b b) (/.f64 #s(literal 1/2 binary64) b))))))
(fma.f64 (.f64 b b) #s(literal 1/8 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 b b)))
(fma.f64 (.f64 b b) #s(literal 1/8 binary64) (.f64 (*.f64 b b) (/.f64 #s(literal 1/2 binary64) b)))
(fma.f64 #s(literal 1/8 binary64) (.f64 b b) (.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 b b)))
(fma.f64 #s(literal 1/8 binary64) (.f64 b b) (.f64 (*.f64 b b) (/.f64 #s(literal 1/2 binary64) b)))
(+.f64 (.f64 (.f64 b b) #s(literal 1/8 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) b) (.f64 b b)))
(+.f64 (.f64 (.f64 b b) #s(literal 1/8 binary64)) (.f64 (.f64 b b) (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) #s(literal 1/64 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) b))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) #s(literal 1/512 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64))))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64))) (-.f64 #s(literal 1/8 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 1/64 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)))
(/.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64))) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) b)))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)))))
(fma.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/8 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal -1 binary64)) #s(literal 1/8 binary64))
(-.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) b))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) b))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64))))
(-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1/512 binary64) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) b))))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) b))))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64))))) (/.f64 #s(literal 1/512 binary64) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64))))))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal -1 binary64)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 b))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 b)))
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/8 binary64)
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(fabs.f64 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 b) #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)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))))
(-.f64 (log1p.f64 (pow.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))))
(log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 a a (-.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a))) (neg.f64 (-.f64 #s(literal 1 binary64) a)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 #s(literal 1 binary64) a)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a)) (-.f64 #s(literal 1 binary64) a))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 #s(literal 1 binary64) a))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 #s(literal 1 binary64) a)))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 #s(literal 1 binary64) a)))))
(+.f64 #s(literal 1 binary64) a)
(+.f64 a #s(literal 1 binary64))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 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))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))))))
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(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64))))
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(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) 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 a (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 a) (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/8 binary64) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) a) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/8 binary64) a) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/8 binary64) a) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) a) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) a))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/512 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal 1/8 binary64) a) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/8 binary64) a) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) a)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) a) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/8 binary64) a) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) a) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) a)))))
(/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal 1/8 binary64) a) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) a))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) a))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) a) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) a) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) a) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) a))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) a) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) a))))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) a) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) a) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) a))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) a) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/8 binary64) a) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal 1/8 binary64) a) #s(literal 1/2 binary64))))))
(+.f64 (*.f64 #s(literal 1/8 binary64) a) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) a))
(+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(log.f64 #s(literal 2 binary64))
#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)))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) 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 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b #s(literal 0 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 (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (/ b (+ 1 (exp a))) (fma.f64 (.f64 b a) #s(literal -1/4 binary64) (.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ b (+ 1 (exp a))) (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 (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b #s(literal 0 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 (+ 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) #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 (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/32 binary64) #s(literal 1/8 binary64)) a (.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64)) a (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (+.f64 (fma.f64 (+.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 b a) (.f64 (.f64 b b) #s(literal -1/32 binary64))) #s(literal 1/8 binary64)) a (.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64)) a (*.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 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 (+ 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 (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 (+ 1 (exp a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ 1 (exp a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (exp a) (exp.f64 a))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (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 (+ 1 (exp a))) (log1p.f64 (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 (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (.f64 a a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (log1p.f64 (exp.f64 a)))
#s(approx b b)
#s(approx (log (+ 1 (exp b))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* 1/2 b) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* 1/2 b) (log 2)) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (* 1/2 b) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (log1p.f64 (exp.f64 a)))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
#s(approx (* (+ (/ 1/2 b) 1/8) (* b b)) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (* (+ (/ 1/2 b) 1/8) (* b b)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))
#s(approx (+ (/ 1/2 b) 1/8) (/.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (/ 1/2 b) 1/8) (/.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))
#s(approx (/ 1/2 b) (/.f64 #s(literal 1/2 binary64) b))
#s(approx (* b b) (*.f64 b 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 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b))
#s(approx (log (+ 1 (exp b))) (log1p.f64 (exp.f64 b)))
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 b 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)))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (.f64 (fma.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) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -1 binary64))) (*.f64 b b)))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (.f64 (fma.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) (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) (.f64 b b)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -1 binary64)))) (.f64 b b)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) b) b))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 b b))) (*.f64 b b)))
#s(approx (* (+ (/ 1/2 b) 1/8) (* b b)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))
#s(approx (* (+ (/ 1/2 b) 1/8) (* b b)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) b) b))
#s(approx (+ (/ 1/2 b) 1/8) #s(literal 1/8 binary64))
#s(approx (+ (/ 1/2 b) 1/8) (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 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)))
#s(approx (+ (* 1/2 b) (log 2)) (neg.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) b) #s(literal 1/2 binary64)) b)))
#s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (.f64 (fma.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) (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))) (.f64 b b)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) b) #s(literal 1/2 binary64)) b) #s(literal -1 binary64) #s(literal 1/8 binary64)) (.f64 b b)))

eval57.0ms (0.6%)

Memory: -14.8MiB live, 56.3MiB allocated; 75ms collecting garbage
Compiler: Compiled 10 191 to 1 161 computations (88.6% saved)

prune25.0ms (0.3%)

Memory

2.3MiB live, 49.6MiB allocated; 1ms collecting garbage

Pruning

20 alts after pruning (10 fresh and 10 done)

	Pruned	Kept	Total
New	237	6	243
Fresh	2	4	6
Picked	0	5	5
Done	0	5	5
Total	239	20	259

Accuracy

99.0%

Counts

259 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	49.0%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
	51.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b))))
✓	48.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
	48.4%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
✓	46.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓	53.1%	#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)))))
✓	49.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
✓	9.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b)))))
	12.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) b) b))))
	9.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 #s(approx (+ (/ 1/2 b) 1/8) (/.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b)) (.f64 b b)))))
	9.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 #s(approx (+ (/ 1/2 b) 1/8) (/.f64 #s(literal 1/2 binary64) b)) (.f64 b b)))))
	12.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(approx (* (+ (/ 1/2 b) 1/8) (* b b)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b)))))
	49.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
✓	49.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
	49.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b))))
✓	12.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
✓	48.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
	48.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 1/8 a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
	3.1%	#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 1 540 to 629 computations (59.2% saved)

regimes47.0ms (0.5%)

Memory

-14.6MiB live, 78.4MiB allocated; 4ms collecting garbage

Counts

31 → 1

Calls

Call 1

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

Outputs

#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))))

Calls

6 calls:

10.0ms	a
9.0ms	b
7.0ms	(exp.f64 a)
6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
98.6%	1	`(exp.f64 b)`
98.6%	1	`(exp.f64 a)`
98.6%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.6%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.6%	1	`a`
98.6%	1	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes44.0ms (0.5%)

Memory

26.8MiB live, 76.2MiB allocated; 4ms collecting garbage

Counts

30 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
98.4%	1	`(exp.f64 b)`
98.4%	1	`(exp.f64 a)`
98.4%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.4%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.4%	1	`a`
98.4%	1	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes43.0ms (0.4%)

Memory

-9.9MiB live, 81.6MiB allocated; 4ms collecting garbage

Counts

29 → 2

Calls

Call 1

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

10.0ms	b
8.0ms	a
6.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
57.7%	1	`(exp.f64 b)`
98.8%	2	`(exp.f64 a)`
98.4%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.4%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.8%	2	`a`
69.5%	2	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes15.0ms (0.2%)

Memory

17.3MiB live, 17.3MiB allocated; 0ms collecting garbage

Counts

28 → 2

Calls

Call 1

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

Calls

2 calls:

8.0ms	a
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.6%	2	`(exp.f64 a)`
98.6%	2	`a`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes53.0ms (0.5%)

Memory

-20.3MiB live, 26.6MiB allocated; 1ms collecting garbage

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

36.0ms	a
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.4%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
97.4%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.2%	2	`(exp.f64 a)`
98.2%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes13.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated; 0ms collecting garbage

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

7.0ms	a
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.1%	2	`(exp.f64 a)`
98.1%	2	`a`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes34.0ms (0.4%)

Memory

-34.1MiB live, 16.6MiB allocated; 5ms collecting garbage

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

26.0ms	(exp.f64 a)
6.0ms	a

Results

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

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes18.0ms (0.2%)

Memory

30.1MiB live, 30.1MiB allocated; 0ms collecting garbage

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

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

regimes20.0ms (0.2%)

Memory

-16.9MiB live, 27.0MiB allocated; 5ms collecting garbage

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

7.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms	a
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
95.8%	2	`(exp.f64 a)`
95.8%	2	`a`
95.9%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
95.9%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes15.0ms (0.2%)

Memory

30.4MiB live, 30.4MiB allocated; 0ms collecting garbage

Counts

14 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes15.0ms (0.2%)

Memory

-22.1MiB live, 23.2MiB allocated; 3ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	a
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
95.5%	2	`(exp.f64 a)`
95.5%	2	`a`
95.3%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
95.3%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes12.0ms (0.1%)

Memory

21.9MiB live, 21.9MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
94.9%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
94.9%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
95.0%	2	`(exp.f64 a)`
95.0%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes20.0ms (0.2%)

Memory

-3.0MiB live, 39.8MiB allocated; 5ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

7.0ms	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
48.2%	1	`(exp.f64 b)`
48.2%	1	`b`
55.7%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
55.7%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
55.8%	2	`(exp.f64 a)`
55.8%	2	`a`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes21.0ms (0.2%)

Memory

-20.7MiB live, 34.7MiB allocated; 8ms collecting garbage

Accuracy

Total -6.1b remaining (-10.9%)

Threshold costs -6.1b (-10.9%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

6 calls:

8.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	a
3.0ms	b
2.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
2.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
12.2%	1	`b`
12.2%	1	`(exp.f64 b)`
12.2%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
12.2%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
12.2%	1	`(exp.f64 a)`
12.2%	1	`a`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

bsearch27.0ms (0.3%)

Memory

-12.7MiB live, 33.1MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-4573.182566658665	-4.384799395151401e-5

Samples

15.0ms	105×	1	valid
2.0ms	39×	0	valid

Compiler

Compiled 297 to 254 computations (14.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-exp: 5.0ms (38.4% of total)

ival-log: 4.0ms (30.7% of total)

adjust: 3.0ms (23% of total)

ival-add: 1.0ms (7.7% of total)

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

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

bsearch46.0ms (0.5%)

Memory

-3.6MiB live, 40.7MiB allocated; 8ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-4573.182566658665	-4.384799395151401e-5

Samples

19.0ms	105×	1	valid
1.0ms	2×	2	valid
0.0ms	5×	0	valid

Compiler

Compiled 612 to 416 computations (32% saved)

Precisions

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

ival-log: 7.0ms (42.3% of total)

ival-exp: 6.0ms (36.2% of total)

adjust: 3.0ms (18.1% of total)

ival-add: 1.0ms (6% of total)

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

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

bsearch2.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-4573.182566658665	-4.384799395151401e-5

Compiler

Compiled 333 to 281 computations (15.6% saved)

bsearch4.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	-4573.182566658665	-4.384799395151401e-5

Samples

2.0ms	15×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 333 to 281 computations (15.6% saved)

Precisions

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

ival-exp: 1.0ms (57.9% of total)

ival-log: 1.0ms (57.9% of total)

adjust: 0.0ms (0% of total)

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

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

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

bsearch2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-4573.182566658665	-4.384799395151401e-5

Compiler

Compiled 675 to 461 computations (31.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5540866916940694e-8	0.6931252568033004

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5540866916940694e-8	0.6931252568033004

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5540866916940694e-8	0.6931252568033004

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch11.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-4573.182566658665	-4.384799395151401e-5

Samples

6.0ms

96×

valid

Compiler

Compiled 279 to 236 computations (15.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-exp: 2.0ms (58.2% of total)

ival-log: 1.0ms (29.1% of total)

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

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

adjust: 0.0ms (0% of total)

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

bsearch7.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	-4573.182566658665	-4.384799395151401e-5

Samples

5.0ms

32×

valid

Compiler

Compiled 261 to 227 computations (13% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

adjust: 1.0ms (28.7% of total)

ival-exp: 1.0ms (28.7% of total)

ival-log: 1.0ms (28.7% of total)

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

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

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

bsearch23.0ms (0.2%)

Memory

-26.7MiB live, 18.4MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	-4573.182566658665	-4.384799395151401e-5

Samples

18.0ms	59×	1	valid
0.0ms	5×	0	valid

Compiler

Compiled 324 to 290 computations (10.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-exp: 11.0ms (67.6% of total)

ival-log: 3.0ms (18.4% of total)

adjust: 1.0ms (6.1% of total)

ival-add: 1.0ms (6.1% of total)

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

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

simplify56.0ms (0.6%)

Memory

16.6MiB live, 70.3MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	600
1	137	600
2	212	600
3	453	600
4	1451	600

Stop Event

1×	node limit

Calls

Call 1

Inputs
#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))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -37 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 -320 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))) (fma.f64 #s(approx (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))))
(if (<=.f64 a #s(literal -37 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))))
(if (<=.f64 a #s(literal -35 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))))
(if (<=.f64 a #s(literal -35 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(if (<=.f64 a #s(literal -1 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))))
(if (<=.f64 a #s(literal -42 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))))
(if (<=.f64 a #s(literal -145 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))

Outputs
#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))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -37 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 -320 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))) (fma.f64 #s(approx (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))))
(if (<=.f64 a #s(literal -37 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))))
(if (<=.f64 a #s(literal -35 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))))
(if (<=.f64 a #s(literal -35 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (pow (- (exp a) -1) -1) (pow (- (exp a) -1) -2))) (pow (- (exp a) -1) -1)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(if (<=.f64 a #s(literal -1 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))))
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(if (<=.f64 a #s(literal -145 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))

derivations388.0ms (4%)

Memory

-27.6MiB live, 302.9MiB allocated; 17ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 600 to 114 computations (81% saved)

preprocess73.0ms (0.8%)

Memory: 38.6MiB live, 132.2MiB allocated; 10ms collecting garbage
Compiler: Compiled 1 284 to 290 computations (77.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze342.0ms (3.5%)

sample6.5s (66.4%)

explain168.0ms (1.7%)

preprocess170.0ms (1.8%)

eval0.0ms (0%)

prune0.0ms (0%)

series121.0ms (1.2%)

rewrite224.0ms (2.3%)

eval8.0ms (0.1%)

prune9.0ms (0.1%)

series148.0ms (1.5%)

rewrite214.0ms (2.2%)

eval54.0ms (0.6%)

prune20.0ms (0.2%)

series82.0ms (0.8%)

rewrite224.0ms (2.3%)

eval35.0ms (0.4%)

prune16.0ms (0.2%)

series133.0ms (1.4%)

rewrite200.0ms (2.1%)

eval57.0ms (0.6%)

prune25.0ms (0.3%)

regimes47.0ms (0.5%)

regimes44.0ms (0.5%)

regimes43.0ms (0.4%)

regimes15.0ms (0.2%)

regimes53.0ms (0.5%)

regimes13.0ms (0.1%)

regimes34.0ms (0.4%)

regimes18.0ms (0.2%)

regimes20.0ms (0.2%)

regimes15.0ms (0.2%)

regimes15.0ms (0.2%)

regimes12.0ms (0.1%)

regimes20.0ms (0.2%)

regimes21.0ms (0.2%)

bsearch27.0ms (0.3%)

bsearch46.0ms (0.5%)

bsearch2.0ms (0%)

bsearch4.0ms (0%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch11.0ms (0.1%)

bsearch7.0ms (0.1%)

bsearch23.0ms (0.2%)

simplify56.0ms (0.6%)

derivations388.0ms (4%)

preprocess73.0ms (0.8%)

end0.0ms (0%)

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