Metrics for symmetry log of sum of exp

start0.0ms (0%)

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

analyze124.0ms (1%)

Memory

1.9MiB live, 41.0MiB allocated; 1ms 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)

sample9.7s (79.7%)

Memory

45.2MiB live, 1 328.9MiB allocated; 154ms collecting garbage

Samples

7.1s	7 597×	9472	exit
980.0ms	1 946×	1184	valid
319.0ms	1 135×	592	valid
237.0ms	4 324×	74	valid
92.0ms	547×	296	valid
33.0ms	304×	148	valid

Precisions

Click to see histograms. Total time spent on operations: 8.1s

ival-log: 4.3s (53.2% of total)

ival-exp: 3.4s (42.5% of total)

ival-add!: 208.0ms (2.6% of total)

adjust: 145.0ms (1.8% of total)

Bogosity

explain146.0ms (1.2%)

Memory

0.2MiB live, 40.3MiB allocated; 1ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	sensitivity	119	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	2
↳	`(exp.f64 b)`	overflow	2
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	uflow-rescue	3	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	underflow	3
↳	`(exp.f64 a)`	underflow	56
↳	`(exp.f64 b)`	underflow	70

Confusion

	Predicted +	Predicted -
+	126	0
-	0	130

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	130
1	126

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

58.0ms	114×	1184	valid
21.0ms	70×	592	valid
15.0ms	278×	74	valid
5.0ms	28×	296	valid
3.0ms	22×	148	valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-log: 53.0ms (64.2% of total)

ival-exp: 24.0ms (29.1% of total)

ival-add!: 3.0ms (3.6% of total)

adjust: 2.0ms (2.4% of total)

preprocess171.0ms (1.4%)

Memory

7.8MiB live, 43.1MiB allocated; 7ms 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

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.7%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 6 to 6 computations (0% saved)

series89.0ms (0.7%)

Memory

-1.5MiB live, 24.7MiB 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
39.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
20.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
15.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
13.0ms	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)

rewrite157.0ms (1.3%)

Memory

0.3MiB live, 49.9MiB allocated; 16ms 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)))
(+.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))
(exp.f64 (+.f64 #s(literal 0 binary64) a))
(exp.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)))
(+.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))
(exp.f64 (+.f64 #s(literal 0 binary64) b))
(exp.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: 5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 099 to 293 computations (73.3% saved)

prune7.0ms (0.1%)

Memory

-1.5MiB live, 6.1MiB allocated; 1ms collecting garbage

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	61	10	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	11	72

Accuracy

99.0%

Counts

72 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.7%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	54.1%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
	53.7%	(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)))))
	53.1%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
	51.2%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
▶	49.2%	(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
▶	50.6%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
▶	50.7%	(log.f64 #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)))))
▶	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))))
	50.6%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
▶	51.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))

Compiler

Compiled 248 to 212 computations (14.5% saved)

series86.0ms (0.7%)

Memory

2.8MiB live, 38.8MiB allocated; 7ms collecting garbage

Counts

25 → 78

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) 1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (+ (* 1/2 a) 1) 1/2 (- (exp b) -1))
22.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) 1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (+ (* 1/2 a) 1) 1/2 (- (exp b) -1))
16.0ms	a	@	0	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) 1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (+ (* 1/2 a) 1) 1/2 (- (exp b) -1))
10.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) 1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (+ (* 1/2 a) 1) 1/2 (- (exp b) -1))
9.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) 1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (+ (* 1/2 a) 1) 1/2 (- (exp b) -1))

rewrite173.0ms (1.4%)

Memory

-2.7MiB live, 53.8MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	309	1528
0	337	1457
1	1927	1453
0	8892	1378

Stop Event

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

Counts

103 → 191

Calls

Call 1

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

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

eval26.0ms (0.2%)

Memory: 5.0MiB live, 19.8MiB allocated; 2ms collecting garbage
Compiler: Compiled 5 975 to 996 computations (83.3% saved)

prune17.0ms (0.1%)

Memory

-0.5MiB live, 16.0MiB allocated; 1ms collecting garbage

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	232	14	246
Fresh	4	1	5
Picked	2	3	5
Done	1	0	1
Total	239	18	257

Accuracy

99.0%

Counts

257 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.2%	(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
✓	50.6%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
	50.3%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
▶	50.2%	(log.f64 (+.f64 #s(approx (exp a) #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)))))
	50.8%	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
	50.7%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))))
	50.6%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	51.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
	47.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
▶	50.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
	51.0%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
	50.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (.f64 b #s(literal 0 binary64))) a #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))))
	50.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)) a (.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))))
▶	98.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b)))
▶	49.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
	49.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
	49.2%	#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)))))
▶	48.9%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))

Compiler

Compiled 722 to 552 computations (23.5% saved)

series95.0ms (0.8%)

Memory

-4.7MiB live, 63.7MiB allocated; 9ms collecting garbage

Counts

35 → 113

Calls

Call 1

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

Outputs
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (* a (* b (- (* 1/2 (/ 1 b)) 1/4))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (* a (+ (* 1/8 a) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (* a (+ (* a (+ 1/8 (* 1/48 (* a b)))) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (/ (log 2) b))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (+ (* a (- (* 1/2 (/ 1 b)) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/2 (/ 1 b)) (* a (+ (* 1/48 a) (* 1/8 (/ 1 b))))) 1/4)) (/ (log 2) b)))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (/ (log 2) b)))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* 1/2 (/ a b)) (/ (log 2) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* a (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b)))) (/ (log 2) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* -1/192 (/ (pow a 2) b)) (* 1/8 (/ 1 b)))) (* 1/2 (/ 1 b)))) (/ (log 2) b))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 1/2))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 (+ 1/2 (* -1/4 a))))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 (+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))))
#s(approx (+ 1 (exp a)) #s(hole binary64 2))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 a)))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (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 (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow a 2)))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (/ (log (+ 1 (exp a))) b)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* -1/192 (pow a 4))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1/192 (pow a 3))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow a 2))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (/ (log (+ 1 (exp a))) b)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (/ (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) b)))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* 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 (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#s(approx (+ (* 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 (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))))

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (+ 1 (exp a)) -1) (+ 1 (exp a)) 1 -1 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (log 2) 2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) (* a a) -1/192 1/8)
21.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (+ 1 (exp a)) -1) (+ 1 (exp a)) 1 -1 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (log 2) 2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) (* a a) -1/192 1/8)
16.0ms	b	@	0	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (+ 1 (exp a)) -1) (+ 1 (exp a)) 1 -1 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (log 2) 2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) (* a a) -1/192 1/8)
16.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (+ 1 (exp a)) -1) (+ 1 (exp a)) 1 -1 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (log 2) 2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) (* a a) -1/192 1/8)
15.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (+ 1 (exp a)) -1) (+ 1 (exp a)) 1 -1 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (log 2) 2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) (* a a) -1/192 1/8)

rewrite146.0ms (1.2%)

Memory

8.3MiB live, 50.1MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	436	2502
0	465	2395
1	2551	2382
0	8030	2304

Stop Event

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

Counts

148 → 334

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b))
(*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b)
(+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(/.f64 (log1p.f64 (exp.f64 a)) b)
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
b
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(+.f64 #s(approx (exp a) #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 a) #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(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(*.f64 a a)
#s(literal -1/192 binary64)
#s(literal 1/8 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (* a (* b (- (* 1/2 (/ 1 b)) 1/4))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (* a (+ (* 1/8 a) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (* a (+ (* a (+ 1/8 (* 1/48 (* a b)))) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (/ (log 2) b))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (+ (* a (- (* 1/2 (/ 1 b)) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/2 (/ 1 b)) (* a (+ (* 1/48 a) (* 1/8 (/ 1 b))))) 1/4)) (/ (log 2) b)))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (/ (log 2) b)))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* 1/2 (/ a b)) (/ (log 2) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* a (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b)))) (/ (log 2) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* -1/192 (/ (pow a 2) b)) (* 1/8 (/ 1 b)))) (* 1/2 (/ 1 b)))) (/ (log 2) b))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 1/2))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 (+ 1/2 (* -1/4 a))))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 (+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))))
#s(approx (+ 1 (exp a)) #s(hole binary64 2))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 a)))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (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 (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow a 2)))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (/ (log (+ 1 (exp a))) b)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (pow (+ 1 (exp a)) -1) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* -1/192 (pow a 4))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1/192 (pow a 3))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow a 2))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (/ (log (+ 1 (exp a))) b)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (/ (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) b)))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* 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 (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#s(approx (+ (* 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 (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))))

Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b)
(*.f64 b (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b))
(fma.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (*.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b)))
(+.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b) (.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b))
(+.f64 (.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)))) (neg.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 b) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (neg.f64 (log1p.f64 (exp.f64 a))))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 b) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (neg.f64 (log1p.f64 (exp.f64 a))))) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal -1 binary64) b (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) b))
(/.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 a)) (.f64 (neg.f64 b) #s(literal 1 binary64))) (.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 (neg.f64 b) #s(literal -1 binary64))) (.f64 (neg.f64 b) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)) (.f64 b #s(literal 1 binary64))) (.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b #s(literal -1 binary64))) (.f64 b (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)))))
(/.f64 (fma.f64 #s(literal 1 binary64) b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))) (/.f64 (log1p.f64 (exp.f64 a)) b))
(fma.f64 (fabs.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))) (/.f64 (log1p.f64 (exp.f64 a)) b))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b))) (/.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b))))
(+.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))))))
(+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b))))) (/.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b))))))
(+.f64 (/.f64 (.f64 #s(literal 1 binary64) b) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b))
(+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (neg.f64 b))
(/.f64 (log1p.f64 (exp.f64 a)) b)
(log1p.f64 (exp.f64 a))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+.f64 (cosh.f64 a) (sinh.f64 a))
(exp.f64 a)
a
b
(*.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 a))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))
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(/.f64 (neg.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 (.f64 a a) #s(literal 3 binary64)) #s(literal 1/512 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 a a) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 a a) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (.f64 (.f64 a a) #s(literal -1/192 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (.f64 (.f64 a a) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (*.f64 a a) #s(literal -1/192 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 a a) #s(literal -1/192 binary64)) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (-.f64 (.f64 (.f64 a a) #s(literal -1/192 binary64)) #s(literal 1/8 binary64)))
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (.f64 a a) #s(literal -1/192 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 a a) #s(literal -1/192 binary64))))
(/.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 (.f64 a a) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (+.f64 (pow.f64 (.f64 (.f64 a a) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 a a) #s(literal -1/192 binary64)) #s(literal 1/8 binary64)))))
(/.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (.f64 (.f64 a a) #s(literal -1/192 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (.f64 (.f64 a a) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (*.f64 a a) #s(literal -1/192 binary64))))))
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64))
(fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 a a) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 a a) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (.f64 a a) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))
(-.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 a a) #s(literal -1/192 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 a a) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 a a) #s(literal -1/192 binary64)))))
(-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/192 binary64) (.f64 a a)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 a a) #s(literal -1/192 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 a a) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 a a) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))) (/.f64 #s(literal 1/512 binary64) (+.f64 (pow.f64 (.f64 (.f64 a a) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 a a) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))))
(+.f64 (/.f64 #s(literal 1/512 binary64) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (.f64 (.f64 a a) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 a a) #s(literal -1/192 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 a a) #s(literal -1/192 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (.f64 (.f64 a a) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 a a) #s(literal -1/192 binary64)))))))
(+.f64 (.f64 (.f64 a a) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a a) #s(literal -1/192 binary64)))
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(fabs.f64 (*.f64 a a))
(+.f64 (cosh.f64 (.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 a) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
#s(literal -1/192 binary64)
#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 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)) a)))
#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 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) (.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)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b) a (.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b (.f64 #s(literal 1/8 binary64) a)) a (.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (fma.f64 (fma.f64 (fma.f64 (.f64 b a) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) a (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b)) a (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) a (/.f64 (log.f64 #s(literal 2 binary64)) b)) #s(literal 1/2 binary64)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) a (/.f64 (log.f64 #s(literal 2 binary64)) b)) #s(literal 1/2 binary64)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) a (/.f64 #s(literal 1/8 binary64) b)) a (/.f64 #s(literal 1/2 binary64) b)) #s(literal 1/4 binary64)) a (/.f64 (log.f64 #s(literal 2 binary64)) b)) #s(literal 1/2 binary64)))
#s(approx (/ (log (+ 1 (exp a))) b) (/.f64 (log.f64 #s(literal 2 binary64)) b))
#s(approx (/ (log (+ 1 (exp a))) b) (/.f64 (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) b))
#s(approx (/ (log (+ 1 (exp a))) b) (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) b) a (/.f64 (log.f64 #s(literal 2 binary64)) b)))
#s(approx (/ (log (+ 1 (exp a))) b) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b) a (/.f64 #s(literal 1/2 binary64) b)) a (/.f64 (log.f64 #s(literal 2 binary64)) b)))
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx a a)
#s(approx (pow (+ 1 (exp a)) -1) #s(literal 1/2 binary64))
#s(approx (pow (+ 1 (exp a)) -1) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (pow (+ 1 (exp a)) -1) (fma.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (pow (+ 1 (exp a)) -1) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 a a) #s(literal 1/48 binary64)) (*.f64 a a)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (+ 1 (exp a)) #s(literal 2 binary64))
#s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))
#s(approx (+ 1 (exp a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (+ 1 (exp a)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (+ (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 (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 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 (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(literal 1/8 binary64))
#s(approx (+ (* (* a a) -1/192) 1/8) (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)))
#s(approx (* a a) (*.f64 a a))
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)))
#s(approx (/ (log (+ 1 (exp a))) b) (/.f64 (log1p.f64 (exp.f64 a)) b))
#s(approx (log (+ 1 (exp a))) (log1p.f64 (exp.f64 a)))
#s(approx (exp a) (exp.f64 a))
#s(approx (pow (+ 1 (exp a)) -1) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
#s(approx (+ 1 (exp a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1/192 binary64)))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (.f64 (-.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/192 binary64)))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (.f64 (pow.f64 a #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/192 binary64))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (*.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* (* a a) -1/192) 1/8) (.f64 (.f64 a a) #s(literal -1/192 binary64)))
#s(approx (+ (* (* a a) -1/192) 1/8) (.f64 (-.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/192 binary64)) (*.f64 a a)))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) (pow.f64 a #s(literal 3 binary64))))) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (neg.f64 (.f64 (-.f64 #s(literal 1/192 binary64) (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64))) (pow.f64 a #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) a) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 3 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (log1p.f64 (exp.f64 a)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (log1p.f64 (exp.f64 a)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (/.f64 (log1p.f64 (exp.f64 a)) b))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (/.f64 (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) b))
#s(approx b b)
#s(approx (+ (* 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 (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (+.f64 #s(literal 1 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (+ (* 1/2 b) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
#s(approx (+ (* 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 (exp b) (exp.f64 b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (.f64 (.f64 b b) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 b #s(literal -2 binary64))) (.f64 b b)))
#s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (* 1/2 b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 a))) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) b) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 a))) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b)))
#s(approx (+ (* 1/2 b) (log 2)) (neg.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) b) #s(literal 1/2 binary64)) b)))

eval44.0ms (0.4%)

Memory: -1.0MiB live, 32.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 13 294 to 1 856 computations (86% saved)

prune19.0ms (0.2%)

Memory

-3.0MiB live, 21.1MiB allocated; 2ms collecting garbage

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	357	7	364
Fresh	2	8	10
Picked	1	4	5
Done	0	3	3
Total	360	22	382

Accuracy

99.0%

Counts

382 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.2%	(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
✓	50.6%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
▶	50.3%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
✓	50.2%	(log.f64 (+.f64 #s(approx (exp a) #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)))))
	50.8%	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
	50.7%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))))
	50.6%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	51.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
	47.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓	50.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
	51.0%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
▶	50.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (.f64 b #s(literal 0 binary64))) a #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))))
	50.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)) a (.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))))
▶	98.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b)))
	50.7%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 #s(approx (/ (log (+ 1 (exp a))) b) (/.f64 (log.f64 #s(literal 2 binary64)) b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b)))
	50.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 #s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) a (/.f64 (log.f64 #s(literal 2 binary64)) b)) #s(literal 1/2 binary64))) b)))
	50.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 #s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (+ 1 (exp a)) -1)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64))) b)))
▶	11.9%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
✓	49.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
▶	49.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(approx (+ (* (* a a) -1/192) 1/8) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
	49.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
✓	48.9%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))

Compiler

Compiled 1 018 to 734 computations (27.9% saved)

series97.0ms (0.8%)

Memory

-0.3MiB live, 67.5MiB allocated; 16ms collecting garbage

Counts

46 → 171

Calls

Call 1

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

Outputs
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (+ (* a (* b (- (* 1/2 (/ 1 b)) 1/4))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (+ (* a (+ (* 1/8 a) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (+ (* a (+ (* a (+ 1/8 (* 1/48 (* a b)))) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ 1/2 (/ (log 2) b))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ 1/2 (+ (* a (- (* 1/2 (/ 1 b)) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/2 (/ 1 b)) (* a (+ (* 1/48 a) (* 1/8 (/ 1 b))))) 1/4)) (/ (log 2) b)))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (/ (log 2) b)))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* 1/2 (/ a b)) (/ (log 2) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* a (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b)))) (/ (log 2) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* -1/192 (/ (pow a 2) b)) (* 1/8 (/ 1 b)))) (* 1/2 (/ 1 b)))) (/ (log 2) b))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 1/2))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 (+ 1/2 (* -1/4 a))))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 (+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (sqrt 1/2)))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ a (sqrt 1/2))))))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* a (- (* -1/128 (/ a (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* a (- (* a (- (* 1/2 (/ (* a (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (+ 1 (exp a)) #s(hole binary64 2))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 a)))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (+ 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 (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* 1/8 a)) (* 1/4 b)))))))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* 1/2 b) (* a (- (+ 1/2 (* 1/8 a)) (* 1/4 b))))))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) #s(hole binary64 (- 1/2 (* 1/4 b))))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) #s(hole binary64 (- (+ 1/2 (* 1/8 a)) (* 1/4 b))))
#s(approx (+ (* (- 1/8 (* b 0)) a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- 1/8 (* b 0)) a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (/ (log (+ 1 (exp a))) b)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (sqrt (/ 1 (+ 1 (exp a))))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* -1/192 (pow a 4))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1/192 (pow a 3))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow a 2))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* 1/8 (pow a 2))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* (pow a 2) (- (+ 1/8 (* 1/2 (/ 1 a))) (* 1/4 (/ b a))))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* (pow a 2) (- (+ 1/8 (+ (* 1/2 (/ b (pow a 2))) (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2))))) (* 1/4 (/ b a))))))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* 1/8 (pow a 2))))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* (pow a 2) (- (+ 1/8 (* 1/2 (/ 1 a))) (* 1/4 (/ b a))))))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* (pow a 2) (- (+ 1/8 (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))) (* 1/4 (/ b a))))))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) #s(hole binary64 (* 1/8 a)))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) #s(hole binary64 (* a (- (+ 1/8 (* 1/2 (/ 1 a))) (* 1/4 (/ b a))))))
#s(approx (+ (* (- 1/8 (* b 0)) a) 1/2) #s(hole binary64 (* 1/8 a)))
#s(approx (+ (* (- 1/8 (* b 0)) a) 1/2) #s(hole binary64 (* a (+ 1/8 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 (* 1/4 b))) (* -1 (/ (+ (log 2) (* 1/2 b)) a))) a))))))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 (* 1/4 b))) (* -1/2 (/ b a))) a))))))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- 1/2 (* 1/4 b)) a)) 1/8)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (/ (log (+ 1 (exp a))) b)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (/ (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) b)))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (* 1/2 b) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* b (+ 1/2 (* 1/6 b))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 b))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (+ (log 2) (+ (* a (+ 1/2 (* 1/8 a))) (* b (+ 1/2 (* -1/4 a)))))))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* a (+ 1/2 (* 1/8 a)))))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* a (+ 1/2 (* 1/8 a))) (* b (+ 1/2 (* -1/4 a))))))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) #s(hole binary64 (+ 1/2 (* 1/8 a))))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/8 a)))))
#s(approx (- 1/8 (* b 0)) #s(hole binary64 1/8))
#s(approx (* b 0) #s(hole binary64 0))
#s(approx (* 1/4 b) #s(hole binary64 (* 1/4 b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (/ 1 (pow b 3))))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* 1/6 b)))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* b (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* b (+ 1/2 (* -1/4 a)))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* b (+ 1/2 (+ (* -1/4 a) (+ (/ (log 2) b) (/ (* a (+ 1/2 (* 1/8 a))) b)))))))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* b (+ 1/2 (* -1/4 a)))))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* b (+ 1/2 (+ (* -1/4 a) (/ (* a (+ 1/2 (* 1/8 a))) b))))))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) #s(hole binary64 (* -1/4 b)))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) #s(hole binary64 (* b (- (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))) b)) 1/6)))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* -1 (* b (- (* 1/4 a) 1/2)))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* -1 (* b (- (+ (* -1 (/ (+ (log 2) (* a (+ 1/2 (* 1/8 a)))) b)) (* 1/4 a)) 1/2)))))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* b (- (* 1/4 a) 1/2)))))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* b (- (+ (* -1 (/ (* a (+ 1/2 (* 1/8 a))) b)) (* 1/4 a)) 1/2)))))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/8 a)) b)))))))

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (pow (+ 1 (exp a)) -1/2) 2) (pow (+ 1 (exp a)) -1/2) (+ 1 (exp a)) 1 -1/2 2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) 1/8 (log 2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) (+ (* (- 1/8 (* b 0)) a) 1/2) (- 1/8 (* b 0)) (* b 0) 0 (* 1/4 b) 1/4)
19.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (pow (+ 1 (exp a)) -1/2) 2) (pow (+ 1 (exp a)) -1/2) (+ 1 (exp a)) 1 -1/2 2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) 1/8 (log 2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) (+ (* (- 1/8 (* b 0)) a) 1/2) (- 1/8 (* b 0)) (* b 0) 0 (* 1/4 b) 1/4)
18.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (pow (+ 1 (exp a)) -1/2) 2) (pow (+ 1 (exp a)) -1/2) (+ 1 (exp a)) 1 -1/2 2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) 1/8 (log 2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) (+ (* (- 1/8 (* b 0)) a) 1/2) (- 1/8 (* b 0)) (* b 0) 0 (* 1/4 b) 1/4)
16.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (pow (+ 1 (exp a)) -1/2) 2) (pow (+ 1 (exp a)) -1/2) (+ 1 (exp a)) 1 -1/2 2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) 1/8 (log 2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) (+ (* (- 1/8 (* b 0)) a) 1/2) (- 1/8 (* b 0)) (* b 0) 0 (* 1/4 b) 1/4)
10.0ms	b	@	0	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (/ (log (+ 1 (exp a))) b) (log (+ 1 (exp a))) (exp a) a b (pow (pow (+ 1 (exp a)) -1/2) 2) (pow (+ 1 (exp a)) -1/2) (+ 1 (exp a)) 1 -1/2 2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) 1/8 (log 2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) (+ (* (- 1/8 (* b 0)) a) 1/2) (- 1/8 (* b 0)) (* b 0) 0 (* 1/4 b) 1/4)

rewrite167.0ms (1.4%)

Memory

-0.9MiB live, 52.8MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	643	4325
0	689	3860
1	3828	3855
0	8389	3666

Stop Event

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

Counts

217 → 364

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b))
(*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b)
(+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (log1p.f64 (exp.f64 a)) b)
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
b
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(approx (+ (* (* a a) -1/192) 1/8) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(approx (+ (* (* a a) -1/192) 1/8) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(approx (+ (* (* a a) -1/192) 1/8) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(approx (+ (* (* a a) -1/192) 1/8) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(log.f64 #s(literal 2 binary64))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (.f64 b #s(literal 0 binary64))) a #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))))
#s(approx (+ (/ 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))))
(+.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)))
(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))
(-.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))
(fma.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 b #s(literal 0 binary64))) a #s(literal 1/2 binary64))
(-.f64 #s(literal 1/8 binary64) (*.f64 b #s(literal 0 binary64)))
(*.f64 b #s(literal 0 binary64))
#s(literal 0 binary64)
(*.f64 #s(literal 1/4 binary64) b)
#s(literal 1/4 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (+ (* a (* b (- (* 1/2 (/ 1 b)) 1/4))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (+ (* a (+ (* 1/8 a) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (+ (* a (+ (* a (+ 1/8 (* 1/48 (* a b)))) (* b (- (* 1/2 (/ 1 b)) 1/4)))) (* b (+ 1/2 (/ (log 2) b))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ 1/2 (/ (log 2) b))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ 1/2 (+ (* a (- (* 1/2 (/ 1 b)) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) (/ (log 2) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ 1/2 (+ (* a (- (+ (* 1/2 (/ 1 b)) (* a (+ (* 1/48 a) (* 1/8 (/ 1 b))))) 1/4)) (/ (log 2) b)))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (/ (log 2) b)))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* 1/2 (/ a b)) (/ (log 2) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* a (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b)))) (/ (log 2) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* -1/192 (/ (pow a 2) b)) (* 1/8 (/ 1 b)))) (* 1/2 (/ 1 b)))) (/ (log 2) b))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 1/2))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 (+ 1/2 (* -1/4 a))))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 (+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (sqrt 1/2)))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ a (sqrt 1/2))))))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* a (- (* -1/128 (/ a (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* a (- (* a (- (* 1/2 (/ (* a (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (+ 1 (exp a)) #s(hole binary64 2))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 a)))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (+ 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 (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* 1/8 a)) (* 1/4 b)))))))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* 1/2 b) (* a (- (+ 1/2 (* 1/8 a)) (* 1/4 b))))))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) #s(hole binary64 (- 1/2 (* 1/4 b))))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) #s(hole binary64 (- (+ 1/2 (* 1/8 a)) (* 1/4 b))))
#s(approx (+ (* (- 1/8 (* b 0)) a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- 1/8 (* b 0)) a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))
#s(approx (/ (log (+ 1 (exp a))) b) #s(hole binary64 (/ (log (+ 1 (exp a))) b)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#s(approx (pow (+ 1 (exp a)) -1/2) #s(hole binary64 (sqrt (/ 1 (+ 1 (exp a))))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* -1/192 (pow a 4))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1/192 (pow a 3))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow a 2))))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* 1/8 (pow a 2))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* (pow a 2) (- (+ 1/8 (* 1/2 (/ 1 a))) (* 1/4 (/ b a))))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* (pow a 2) (- (+ 1/8 (+ (* 1/2 (/ b (pow a 2))) (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2))))) (* 1/4 (/ b a))))))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* 1/8 (pow a 2))))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* (pow a 2) (- (+ 1/8 (* 1/2 (/ 1 a))) (* 1/4 (/ b a))))))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* (pow a 2) (- (+ 1/8 (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))) (* 1/4 (/ b a))))))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) #s(hole binary64 (* 1/8 a)))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) #s(hole binary64 (* a (- (+ 1/8 (* 1/2 (/ 1 a))) (* 1/4 (/ b a))))))
#s(approx (+ (* (- 1/8 (* b 0)) a) 1/2) #s(hole binary64 (* 1/8 a)))
#s(approx (+ (* (- 1/8 (* b 0)) a) 1/2) #s(hole binary64 (* a (+ 1/8 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 (* 1/4 b))) (* -1 (/ (+ (log 2) (* 1/2 b)) a))) a))))))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 (* 1/4 b))) (* -1/2 (/ b a))) a))))))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- 1/2 (* 1/4 b)) a)) 1/8)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (/ (log (+ 1 (exp a))) b)))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (/ (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) b)))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (* 1/2 b) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* b (+ 1/2 (* 1/6 b))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 b))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (+ (log 2) (+ (* a (+ 1/2 (* 1/8 a))) (* b (+ 1/2 (* -1/4 a)))))))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* a (+ 1/2 (* 1/8 a)))))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* a (+ 1/2 (* 1/8 a))) (* b (+ 1/2 (* -1/4 a))))))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) #s(hole binary64 (+ 1/2 (* 1/8 a))))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/8 a)))))
#s(approx (- 1/8 (* b 0)) #s(hole binary64 1/8))
#s(approx (* b 0) #s(hole binary64 0))
#s(approx (* 1/4 b) #s(hole binary64 (* 1/4 b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (/ 1 (pow b 3))))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* 1/6 b)))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* b (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* b (+ 1/2 (* -1/4 a)))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* b (+ 1/2 (+ (* -1/4 a) (+ (/ (log 2) b) (/ (* a (+ 1/2 (* 1/8 a))) b)))))))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* b (+ 1/2 (* -1/4 a)))))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* b (+ 1/2 (+ (* -1/4 a) (/ (* a (+ 1/2 (* 1/8 a))) b))))))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) #s(hole binary64 (* -1/4 b)))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) #s(hole binary64 (* b (- (+ (* 1/8 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))) b)) 1/6)))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* -1 (* b (- (* 1/4 a) 1/2)))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* -1 (* b (- (+ (* -1 (/ (+ (log 2) (* a (+ 1/2 (* 1/8 a)))) b)) (* 1/4 a)) 1/2)))))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* b (- (* 1/4 a) 1/2)))))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* b (- (+ (* -1 (/ (* a (+ 1/2 (* 1/8 a))) b)) (* 1/4 a)) 1/2)))))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/8 a)) b)))))))

Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b)
(*.f64 b (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b))
(fma.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (*.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b)))
(+.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b) (.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b))
(+.f64 (.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 b) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (neg.f64 (log1p.f64 (exp.f64 a))))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 b) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (neg.f64 (log1p.f64 (exp.f64 a))))) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal -1 binary64) b (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) b))
(/.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 a)) (.f64 (neg.f64 b) #s(literal 1 binary64))) (.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 (neg.f64 b) #s(literal -1 binary64))) (.f64 (neg.f64 b) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)) (.f64 b #s(literal 1 binary64))) (.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b #s(literal -1 binary64))) (.f64 b (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))))))
(/.f64 (fma.f64 #s(literal 1 binary64) b (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))) (/.f64 (log1p.f64 (exp.f64 a)) b))
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#s(approx (pow (+ 1 (exp a)) -1/2) (fma.f64 (/.f64 a (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (pow (+ 1 (exp a)) -1/2) (fma.f64 (fma.f64 (/.f64 a (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) #s(literal -1/128 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) a (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (pow (+ 1 (exp a)) -1/2) (fma.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 #s(literal 5/384 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/128 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -3/2 binary64)))) a (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) a (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ 1 (exp a)) #s(literal 2 binary64))
#s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))
#s(approx (+ 1 (exp a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (+ 1 (exp a)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 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 (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)))
#s(approx (+ (* (* a a) -1/192) 1/8) #s(literal 1/8 binary64))
#s(approx (+ (* (* a a) -1/192) 1/8) (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 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 (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)) a (.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)) a (.f64 #s(literal 1/2 binary64) b)))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b))) a (.f64 #s(literal 1/2 binary64) b)))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) (fma.f64 #s(literal 1/8 binary64) a (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b))))
#s(approx (+ (* (- 1/8 (* b 0)) a) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (- 1/8 (* b 0)) a) 1/2) (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)))
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)))
#s(approx (/ (log (+ 1 (exp a))) b) (/.f64 (log1p.f64 (exp.f64 a)) b))
#s(approx (log (+ 1 (exp a))) (log1p.f64 (exp.f64 a)))
#s(approx (exp a) (exp.f64 a))
#s(approx (pow (pow (+ 1 (exp a)) -1/2) 2) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
#s(approx (pow (+ 1 (exp a)) -1/2) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)))
#s(approx (+ 1 (exp a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1/192 binary64)))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (.f64 (-.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/192 binary64)))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (.f64 (pow.f64 a #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/192 binary64))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (*.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* (* a a) -1/192) 1/8) (.f64 (.f64 a a) #s(literal -1/192 binary64)))
#s(approx (+ (* (* a a) -1/192) 1/8) (.f64 (-.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/192 binary64)) (*.f64 a a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)) a)) (*.f64 a a)))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 b (.f64 a a)) #s(literal 1/2 binary64) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))) #s(literal 1/8 binary64)) (.f64 (/.f64 b a) #s(literal 1/4 binary64))) (*.f64 a a)))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)) a)) (*.f64 a a)))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 b (.f64 a a)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 1/8 binary64)) (.f64 (/.f64 b a) #s(literal 1/4 binary64))) (.f64 a a)))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/8 binary64) a))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)) a)) a))
#s(approx (+ (* (- 1/8 (* b 0)) a) 1/2) (*.f64 #s(literal 1/8 binary64) a))
#s(approx (+ (* (- 1/8 (* b 0)) a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) a))
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) (pow.f64 a #s(literal 3 binary64))))) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (neg.f64 (.f64 (-.f64 #s(literal 1/192 binary64) (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64))) (pow.f64 a #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (neg.f64 (.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (.f64 a a)) #s(literal -1 binary64) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 3 binary64)))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) a) #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)))) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 a a)))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)))) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 a a)))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) (neg.f64 (.f64 (-.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b))) a) #s(literal 1/8 binary64)) a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (log1p.f64 (exp.f64 a)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (log1p.f64 (exp.f64 a)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (/.f64 (log1p.f64 (exp.f64 a)) b))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (/.f64 (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) b))
#s(approx b b)
#s(approx (+ (* 1/2 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 (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+.f64 #s(literal 1 binary64) b))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)))
#s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 b) 1/2) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (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 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b)))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) (+.f64 (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 1/8 binary64) a)) #s(literal 1/2 binary64)))
#s(approx (- 1/8 (* b 0)) #s(literal 1/8 binary64))
#s(approx (* b 0) #s(literal 0 binary64))
#s(approx (* 1/4 b) (*.f64 #s(literal 1/4 binary64) b))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) b)) b))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
#s(approx (+ (* 1/2 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 (exp b) (exp.f64 b))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (+.f64 (pow.f64 b #s(literal -3 binary64)) (pow.f64 b #s(literal -2 binary64)))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) b)) #s(literal 1/6 binary64)) (.f64 b b)))
#s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b))
#s(approx (+ (* 1/6 b) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) b))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (+.f64 (fma.f64 #s(literal -1/4 binary64) a (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) b)) #s(literal 1/2 binary64)) b))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (.f64 (+.f64 (fma.f64 #s(literal -1/4 binary64) a (.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) b) a)) #s(literal 1/2 binary64)) b))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 a))) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b)))
#s(approx (* (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) b) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 a))) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b)))
#s(approx (+ (* 1/2 b) (log 2)) (neg.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) b) #s(literal 1/2 binary64)) b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 b #s(literal -2 binary64))) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b)))
#s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) a (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) b))) #s(literal 1/2 binary64)) b)))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b)))
#s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (neg.f64 (.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) a (neg.f64 (.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) b) a))) #s(literal 1/2 binary64)) b)))
#s(approx (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) b) #s(literal -1 binary64) #s(literal 1/4 binary64)) b)))

eval51.0ms (0.4%)

Memory: -4.3MiB live, 36.3MiB allocated; 6ms collecting garbage
Compiler: Compiled 15 611 to 2 117 computations (86.4% saved)

prune23.0ms (0.2%)

Memory

0.9MiB live, 26.2MiB allocated; 0ms collecting garbage

Pruning

23 alts after pruning (13 fresh and 10 done)

	Pruned	Kept	Total
New	396	8	404
Fresh	5	5	10
Picked	2	3	5
Done	0	7	7
Total	403	23	426

Accuracy

99.0%

Counts

426 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.2%	(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
✓	50.6%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
✓	50.3%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
✓	50.2%	(log.f64 (+.f64 #s(approx (exp a) #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)))))
	50.8%	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
	50.6%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	51.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
	47.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓	50.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
	51.0%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
	49.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 #s(approx (+ (* (- 1/8 (* b 0)) a) 1/2) (.f64 #s(literal 1/8 binary64) a)) (.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))))
	50.0%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 #s(approx (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b)) (log.f64 #s(literal 2 binary64)))))
	98.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) b)))
	59.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 #s(approx (pow (+ 1 (exp a)) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) b)))
	50.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 #s(approx (+ (/ (log (+ 1 (exp a))) b) (pow (pow (+ 1 (exp a)) -1/2) 2)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64))) b)))
	5.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))))
	2.5%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)) a)) (*.f64 a a)))))
	3.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (+ (* (- (+ (* (- 1/8 (* b 0)) a) 1/2) (* 1/4 b)) a) (* 1/2 b)) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))))
✓	11.9%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
✓	49.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
✓	49.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(approx (+ (* (* a a) -1/192) 1/8) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
	49.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
✓	48.9%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))

Compiler

Compiled 1 774 to 734 computations (58.6% saved)

regimes51.0ms (0.4%)

Memory

3.9MiB live, 27.4MiB allocated; 1ms collecting garbage

Counts

40 → 1

Calls

Call 1

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

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:

10.0ms	b
10.0ms	a
8.0ms	(exp.f64 a)
7.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms	(+.f64 (exp.f64 a) (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)

regimes44.0ms (0.4%)

Memory

1.8MiB live, 24.5MiB allocated; 1ms collecting garbage

Counts

34 → 2

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
56.3%	2	`(exp.f64 b)`
98.1%	2	`(exp.f64 a)`
97.7%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
97.7%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.1%	2	`a`
67.9%	2	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes16.0ms (0.1%)

Memory

-7.9MiB live, 9.3MiB allocated; 0ms collecting garbage

Counts

33 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

9.0ms	a
6.0ms	(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)

regimes16.0ms (0.1%)

Memory

1.4MiB live, 9.2MiB allocated; 1ms collecting garbage

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

8.0ms	a
6.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.9%	2	`(exp.f64 a)`
97.9%	2	`a`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes27.0ms (0.2%)

Memory

-2.0MiB live, 15.2MiB allocated; 1ms collecting garbage

Counts

30 → 2

Calls

Call 1

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

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 #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)))))

Calls

4 calls:

7.0ms	a
6.0ms	(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
96.9%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
96.9%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
97.6%	2	`(exp.f64 a)`
97.6%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes14.0ms (0.1%)

Memory

0.7MiB live, 8.5MiB allocated; 0ms collecting garbage

Counts

29 → 2

Calls

Call 1

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

Calls

2 calls:

7.0ms	a
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.6%	2	`(exp.f64 a)`
97.6%	2	`a`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes10.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

5.0ms	a
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
96.9%	2	`(exp.f64 a)`
96.9%	2	`a`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes16.0ms (0.1%)

Memory

-5.2MiB live, 10.4MiB allocated; 0ms collecting garbage

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
96.0%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
96.0%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
96.7%	2	`(exp.f64 a)`
96.7%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes9.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

4.0ms	a
3.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
96.5%	2	`(exp.f64 a)`
96.5%	2	`a`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes7.0ms (0.1%)

Memory

-3.3MiB live, 5.1MiB allocated; 0ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

4.0ms	a
3.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes16.0ms (0.1%)

Memory

3.2MiB live, 10.9MiB allocated; 1ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

Outputs

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
50.2%	1	`b`
57.2%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
57.2%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
57.4%	2	`(exp.f64 a)`
57.4%	2	`a`

Compiler

Compiled 15 to 18 computations (-20% saved)

regimes10.0ms (0.1%)

Memory

-0.4MiB live, 7.5MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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
57.2%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
57.2%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
57.2%	2	`(exp.f64 a)`
57.2%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes9.0ms (0.1%)

Memory

-0.8MiB live, 7.1MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 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
56.8%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
56.8%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
56.9%	2	`(exp.f64 a)`
56.9%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes4.0ms (0%)

Memory

-4.8MiB live, 3.7MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

2.0ms	a
2.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
56.9%	2	`(exp.f64 a)`
56.9%	2	`a`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes8.0ms (0.1%)

Memory

-0.7MiB live, 7.2MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
48.9%	1	`(exp.f64 b)`
56.2%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
56.2%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
56.2%	2	`(exp.f64 a)`
56.2%	2	`a`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes9.0ms (0.1%)

Memory

0.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Accuracy

Total -6.1b remaining (-10.8%)

Threshold costs -6.1b (-10.8%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
11.9%	1	`(exp.f64 b)`
11.9%	1	`b`
11.9%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
11.9%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
11.9%	1	`(exp.f64 a)`
11.9%	1	`a`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

bsearch15.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-38.291949144074295	-0.1514560243259628

Samples

8.0ms	76×	148	valid
2.0ms	36×	74	valid

Compiler

Compiled 233 to 200 computations (14.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-exp: 4.0ms (53.7% of total)

ival-log: 3.0ms (40.3% of total)

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-38.291949144074295	-0.1514560243259628

Compiler

Compiled 310 to 249 computations (19.7% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-38.291949144074295	-0.1514560243259628

Compiler

Compiled 289 to 235 computations (18.7% saved)

bsearch29.0ms (0.2%)

Memory

-1.8MiB live, 6.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-24642.798930680125	-42.03668711590749

Samples

8.0ms	81×	148	valid
5.0ms	9×	1184	valid
5.0ms	16×	592	valid
3.0ms	15×	296	valid
0.0ms	7×	74	valid

Compiler

Compiled 353 to 291 computations (17.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-log: 9.0ms (49.5% of total)

ival-exp: 7.0ms (38.5% of total)

adjust: 1.0ms (5.5% of total)

ival-add!: 1.0ms (5.5% of total)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-24642.798930680125	-42.03668711590749

Compiler

Compiled 441 to 331 computations (24.9% saved)

bsearch10.0ms (0.1%)

Memory

-5.5MiB live, 2.7MiB allocated; 1ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-38.291949144074295	-0.1514560243259628

Samples

5.0ms

96×

valid

Compiler

Compiled 422 to 326 computations (22.7% saved)

Precisions

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

ival-exp: 2.0ms (68.7% of total)

ival-log: 1.0ms (34.4% of total)

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-24642.798930680125	-42.03668711590749

Compiler

Compiled 369 to 291 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-24642.798930680125	-42.03668711590749

Compiler

Compiled 345 to 275 computations (20.3% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-24642.798930680125	-42.03668711590749

Compiler

Compiled 385 to 315 computations (18.2% saved)

bsearch15.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-24642.798930680125	-42.03668711590749

Samples

10.0ms	62×	296	valid
0.0ms	1×	148	valid
0.0ms	1×	74	valid

Compiler

Compiled 417 to 347 computations (16.8% saved)

Precisions

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

ival-exp: 4.0ms (47.4% of total)

ival-log: 4.0ms (47.4% of total)

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-24642.798930680125	-42.03668711590749

Compiler

Compiled 449 to 363 computations (19.2% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-38.291949144074295	-0.1514560243259628

Compiler

Compiled 345 to 291 computations (15.7% saved)

bsearch7.0ms (0.1%)

Memory

-5.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	-38.291949144074295	-0.1514560243259628

Samples

4.0ms

64×

valid

Compiler

Compiled 317 to 263 computations (17% saved)

Precisions

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

ival-exp: 1.0ms (50.2% of total)

ival-log: 1.0ms (50.2% of total)

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-24642.798930680125	-42.03668711590749

Compiler

Compiled 369 to 315 computations (14.6% saved)

simplify51.0ms (0.4%)

Memory

5.8MiB live, 13.2MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	751
1	133	751
2	183	751
3	312	751
4	1012	751
5	6968	751

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -38 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 -38 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(if (<=.f64 a #s(literal -38 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(if (<=.f64 a #s(literal -58 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 #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))))))
(if (<=.f64 a #s(literal -58 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 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))))
(if (<=.f64 a #s(literal -3039929748475085/2251799813685248 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)) a (.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -58 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 #s(approx (exp a) #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))))))
(if (<=.f64 a #s(literal -58 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 #s(approx (exp a) #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))))))
(if (<=.f64 a #s(literal -58 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -92 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -92 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -3039929748475085/2251799813685248 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -1 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))))
(if (<=.f64 a #s(literal -92 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))

Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -38 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 -38 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(if (<=.f64 a #s(literal -38 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(if (<=.f64 a #s(literal -58 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 #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))))))
(if (<=.f64 a #s(literal -58 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 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))))
(if (<=.f64 a #s(literal -3039929748475085/2251799813685248 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) b)) a (.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -58 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 #s(approx (exp a) #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))))))
(if (<=.f64 a #s(literal -58 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 #s(approx (exp a) #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))))))
(if (<=.f64 a #s(literal -58 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -92 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -92 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -3039929748475085/2251799813685248 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -1 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))))
(if (<=.f64 a #s(literal -92 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))

derivations349.0ms (2.9%)

Memory

-2.0MiB live, 5.6MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 751 to 115 computations (84.7% saved)

preprocess77.0ms (0.6%)

Memory: 1.6MiB live, 48.6MiB allocated; 6ms collecting garbage
Compiler: Compiled 1 548 to 268 computations (82.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze124.0ms (1%)

sample9.7s (79.7%)

explain146.0ms (1.2%)

preprocess171.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

series89.0ms (0.7%)

rewrite157.0ms (1.3%)

eval8.0ms (0.1%)

prune7.0ms (0.1%)

series86.0ms (0.7%)

rewrite173.0ms (1.4%)

eval26.0ms (0.2%)

prune17.0ms (0.1%)

series95.0ms (0.8%)

rewrite146.0ms (1.2%)

eval44.0ms (0.4%)

prune19.0ms (0.2%)

series97.0ms (0.8%)

rewrite167.0ms (1.4%)

eval51.0ms (0.4%)

prune23.0ms (0.2%)

regimes51.0ms (0.4%)

regimes44.0ms (0.4%)

regimes16.0ms (0.1%)

regimes16.0ms (0.1%)

regimes27.0ms (0.2%)

regimes14.0ms (0.1%)

regimes10.0ms (0.1%)

regimes16.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes16.0ms (0.1%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch15.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch29.0ms (0.2%)

bsearch1.0ms (0%)

bsearch10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch15.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch7.0ms (0.1%)

bsearch1.0ms (0%)

simplify51.0ms (0.4%)

derivations349.0ms (2.9%)

preprocess77.0ms (0.6%)

end0.0ms (0%)

Profiling