Metrics for symmetry log of sum of exp

start0.0ms (0%)

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

analyze160.0ms (2%)

Memory

22.0MiB live, 165.4MiB allocated; 43ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
50%	50%	50%	0.1%	0%	0%	0%	5
50%	50%	50%	0.1%	0%	0%	0%	6
50%	50%	50%	0.1%	0%	0%	0%	7
50%	50%	50%	0.1%	0%	0%	0%	8
50%	50%	50%	0.1%	0%	0%	0%	9
50%	50%	50%	0.1%	0%	0%	0%	10
50%	50%	50%	0.1%	0%	0%	0%	11
50%	50%	50%	0.1%	0%	0%	0%	12

Compiler

Compiled 8 to 8 computations (0% saved)

sample5.7s (70.3%)

Memory

-44.2MiB live, 6 513.7MiB allocated; 2.2s collecting garbage

Samples

3.0s	7 639×	5	exit
843.0ms	1 675×	2	valid
601.0ms	2 269×	1	valid
272.0ms	4 312×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 4.1s

adjust: 1.5s (37.2% of total)

ival-exp: 1.3s (32.8% of total)

ival-log: 1.1s (26% of total)

ival-add!: 160.0ms (3.9% of total)

Bogosity

explain169.0ms (2.1%)

Memory

-0.4MiB live, 239.9MiB allocated; 10ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
136	-	-	`(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	130	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	3
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	uflow-rescue	2	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	underflow	2
↳	`(exp.f64 a)`	underflow	64
↳	`(exp.f64 b)`	underflow	72

Confusion

	Predicted +	Predicted -
+	136	0
-	0	120

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	120
1	136

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

67.0ms	110×	2	valid
31.0ms	146×	1	valid
16.0ms	256×	0	valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

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

ival-log: 40.0ms (49.8% of total)

ival-exp: 29.0ms (36.1% of total)

adjust: 8.0ms (10% of total)

ival-add!: 3.0ms (3.7% of total)

preprocess37.0ms (0.5%)

Memory

-24.5MiB live, 22.8MiB allocated; 4ms 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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.5%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Symmetry

(sort a b)

Compiler

Compiled 12 to 12 computations (0% saved)

series103.0ms (1.3%)

Memory

40.7MiB live, 134.9MiB allocated; 7ms 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
50.0ms	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)
17.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
14.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
1.0ms	a	@	0	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)

rewrite232.0ms (2.9%)

Memory

-22.4MiB live, 237.7MiB allocated; 70ms 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: -31.4MiB live, 15.8MiB allocated; 1ms collecting garbage
Compiler: Compiled 1 069 to 291 computations (72.8% saved)

prune4.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	59	7	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	8	67

Accuracy

99.0%

Counts

67 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.5%	(log.f64 (/.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))))))
✓	51.5%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶	49.7%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
▶	46.0%	(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
▶	98.0%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
	47.3%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b))))
▶	47.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
▶	47.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))

Compiler

Compiled 202 to 156 computations (22.8% saved)

series128.0ms (1.6%)

Memory

-0.2MiB live, 190.3MiB allocated; 17ms collecting garbage

Counts

21 → 67

Calls

Call 1

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

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 (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 (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx b #s(hole binary64 b))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (- b -1) #s(hole binary64 1))
#s(approx (- b -1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (- b -1) #s(hole binary64 b))
#s(approx (- b -1) #s(hole binary64 (* b (+ 1 (/ 1 b)))))
#s(approx (+ (/ 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
39.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (- b -1))
32.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (- b -1))
26.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (- b -1))
24.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (- b -1))
4.0ms	b	@	0	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (- b -1))

rewrite185.0ms (2.3%)

Memory

40.2MiB live, 224.2MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	281	1226
0	302	1173
1	1749	1169
0	9734	1106

Stop Event

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

Counts

88 → 146

Calls

Call 1

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

eval22.0ms (0.3%)

Memory: -20.3MiB live, 35.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 4 047 to 748 computations (81.5% saved)

prune27.0ms (0.3%)

Memory

-31.9MiB live, 15.3MiB allocated; 2ms collecting garbage

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	161	7	168
Fresh	1	1	2
Picked	3	2	5
Done	0	1	1
Total	165	11	176

Accuracy

99.0%

Counts

176 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.5%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶	47.3%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b))))
✓	47.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	47.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
▶	47.0%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
▶	46.6%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
	44.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
▶	47.4%	#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)))))
▶	55.0%	#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)))))
	47.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
	46.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))

Compiler

Compiled 320 to 254 computations (20.6% saved)

series79.0ms (1%)

Memory

45.7MiB live, 138.6MiB allocated; 5ms collecting garbage

Counts

28 → 73

Calls

Call 1

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

Outputs
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (+ 1 (exp a)) #s(hole binary64 2))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 a)))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (/ a (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (/ a (+ 1 (exp b)))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (* a (+ (/ 1 (+ 1 (exp b))) (/ (log (+ 1 (exp b))) a)))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (log (+ 1 (exp b))) a)) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx b #s(hole binary64 b))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ 1 b) #s(hole binary64 1))
#s(approx (+ 1 b) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- 1/2 (* 1/4 a)))))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- (+ 1/2 (* b (- 1/8 (+ (* -1/8 a) (* 1/8 a))))) (* 1/4 a)))))))
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- (+ 1/2 (* b (- (+ 1/8 (* -1 (* b (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/16 a) (* 1/24 a)))))) (+ (* -1/8 a) (* 1/8 a))))) (* 1/4 a)))))))
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (* 1/2 a)))
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 a))))
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (+ (* 1/2 a) (* b (- (* -1 (* b (+ (* -1/8 a) (* 1/8 a)))) (* 1/4 a))))))
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (+ (* 1/2 a) (* b (- (* b (- (* -1 (* b (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/16 a) (* 1/24 a))))) (+ (* -1/8 a) (* 1/8 a)))) (* 1/4 a))))))
#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 (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ 1 b) #s(hole binary64 b))
#s(approx (+ 1 b) #s(hole binary64 (* b (+ 1 (/ 1 b)))))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b)))))
#s(approx (- (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))))))))
#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
19.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) b (+ 1 (exp a)) 1 (exp a) a (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/ a (- (exp b) -1)) (- (exp b) -1) (exp b) -1 (log (+ 1 (exp b))))
17.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) b (+ 1 (exp a)) 1 (exp a) a (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/ a (- (exp b) -1)) (- (exp b) -1) (exp b) -1 (log (+ 1 (exp b))))
17.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) b (+ 1 (exp a)) 1 (exp a) a (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/ a (- (exp b) -1)) (- (exp b) -1) (exp b) -1 (log (+ 1 (exp b))))
15.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) b (+ 1 (exp a)) 1 (exp a) a (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/ a (- (exp b) -1)) (- (exp b) -1) (exp b) -1 (log (+ 1 (exp b))))
6.0ms	b	@	0	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) b (+ 1 (exp a)) 1 (exp a) a (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/ a (- (exp b) -1)) (- (exp b) -1) (exp b) -1 (log (+ 1 (exp b))))

rewrite178.0ms (2.2%)

Memory

0.3MiB live, 186.1MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	324	1595
0	344	1497
1	2006	1494
0	8876	1394

Stop Event

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

Counts

101 → 169

Calls

Call 1

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

eval24.0ms (0.3%)

Memory: -17.2MiB live, 37.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 4 432 to 804 computations (81.9% saved)

prune9.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	135	6	141
Fresh	1	2	3
Picked	2	3	5
Done	0	3	3
Total	138	14	152

Accuracy

99.0%

Counts

152 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.5%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	47.2%	#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64))) (-.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b)))))
✓	47.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	47.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
▶	52.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b))))
✓	46.6%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
	44.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓	47.4%	#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)))))
▶	47.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))))))
✓	55.0%	#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)))))
▶	12.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) #s(literal 2 binary64)))))
▶	46.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
	2.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
▶	47.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))

Compiler

Compiled 507 to 360 computations (29% saved)

series178.0ms (2.2%)

Memory

7.3MiB live, 239.7MiB allocated; 21ms collecting garbage

Counts

34 → 99

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
61.0ms	b	@	0	((log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) b (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (+ 1 (exp a)) 2 (log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (+ (* 1/2 a) (log 2)) 1/2 a (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) 1/8 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (pow (* 1/2 b) 2) (- (pow (log 2) 2) (* (* 1/2 b) (log 2))))) (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (pow b 3) 3 (pow (log 2) 3) (+ (pow (* 1/2 b) 2) (- (pow (log 2) 2) (* (* 1/2 b) (log 2)))) (pow (* 1/2 b) 2) (* 1/2 b) (- (pow (log 2) 2) (* (* 1/2 b) (log 2))) (pow (log 2) 2) (* (* 1/2 b) (log 2)))
42.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) b (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (+ 1 (exp a)) 2 (log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (+ (* 1/2 a) (log 2)) 1/2 a (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) 1/8 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (pow (* 1/2 b) 2) (- (pow (log 2) 2) (* (* 1/2 b) (log 2))))) (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (pow b 3) 3 (pow (log 2) 3) (+ (pow (* 1/2 b) 2) (- (pow (log 2) 2) (* (* 1/2 b) (log 2)))) (pow (* 1/2 b) 2) (* 1/2 b) (- (pow (log 2) 2) (* (* 1/2 b) (log 2))) (pow (log 2) 2) (* (* 1/2 b) (log 2)))
34.0ms	b	@	inf	((log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) b (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (+ 1 (exp a)) 2 (log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (+ (* 1/2 a) (log 2)) 1/2 a (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) 1/8 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (pow (* 1/2 b) 2) (- (pow (log 2) 2) (* (* 1/2 b) (log 2))))) (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (pow b 3) 3 (pow (log 2) 3) (+ (pow (* 1/2 b) 2) (- (pow (log 2) 2) (* (* 1/2 b) (log 2)))) (pow (* 1/2 b) 2) (* 1/2 b) (- (pow (log 2) 2) (* (* 1/2 b) (log 2))) (pow (log 2) 2) (* (* 1/2 b) (log 2)))
17.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) b (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (+ 1 (exp a)) 2 (log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (+ (* 1/2 a) (log 2)) 1/2 a (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) 1/8 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (pow (* 1/2 b) 2) (- (pow (log 2) 2) (* (* 1/2 b) (log 2))))) (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (pow b 3) 3 (pow (log 2) 3) (+ (pow (* 1/2 b) 2) (- (pow (log 2) 2) (* (* 1/2 b) (log 2)))) (pow (* 1/2 b) 2) (* 1/2 b) (- (pow (log 2) 2) (* (* 1/2 b) (log 2))) (pow (log 2) 2) (* (* 1/2 b) (log 2)))
16.0ms	a	@	inf	((log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) b (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (+ 1 (exp a)) 2 (log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (+ (* 1/2 a) (log 2)) 1/2 a (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) 1/8 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (+ (pow (* 1/2 b) 2) (- (pow (log 2) 2) (* (* 1/2 b) (log 2))))) (+ (* (pow b 3) 1/8) (pow (log 2) 3)) (pow b 3) 3 (pow (log 2) 3) (+ (pow (* 1/2 b) 2) (- (pow (log 2) 2) (* (* 1/2 b) (log 2)))) (pow (* 1/2 b) 2) (* 1/2 b) (- (pow (log 2) 2) (* (* 1/2 b) (log 2))) (pow (log 2) 2) (* (* 1/2 b) (log 2)))

rewrite169.0ms (2.1%)

Memory

1.1MiB live, 227.2MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	449	2693
0	480	2534
1	2695	2490
0	8103	2323

Stop Event

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

Counts

133 → 291

Calls

Call 1

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

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

eval71.0ms (0.9%)

Memory: -31.1MiB live, 70.9MiB allocated; 26ms collecting garbage
Compiler: Compiled 12 931 to 1 657 computations (87.2% saved)

prune13.0ms (0.2%)

Memory

24.2MiB live, 24.2MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	288	4	292
Fresh	2	1	3
Picked	1	4	5
Done	0	6	6
Total	291	15	306

Accuracy

99.0%

Counts

306 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.5%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
✓	47.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	47.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
✓	52.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(approx (+ 1 b) b))))
✓	46.6%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
	6.1%	#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 #s(approx (exp b) #s(approx (+ 1 b) b)) #s(literal 1 binary64))))
✓	47.4%	#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)))))
	2.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) #s(approx (+ (pow (* 1/2 b) 2) (- (pow (log 2) 2) (* (* 1/2 b) (log 2)))) (.f64 (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (.f64 b b))))))
✓	55.0%	#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)))))
✓	12.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) #s(literal 2 binary64)))))
✓	46.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
	46.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) a) (log.f64 #s(literal 2 binary64))))))
	2.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
	2.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
✓	47.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))

Compiler

Compiled 901 to 406 computations (54.9% saved)

regimes37.0ms (0.5%)

Memory

8.7MiB live, 54.9MiB allocated; 2ms collecting garbage

Counts

25 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
98.0%	1	`(exp.f64 b)`
98.0%	1	`(exp.f64 a)`
98.0%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.0%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.0%	1	`a`
98.0%	1	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes26.0ms (0.3%)

Memory

10.1MiB live, 56.7MiB allocated; 1ms collecting garbage

Counts

19 → 2

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	a
5.0ms	b
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
56.7%	2	`(exp.f64 b)`
98.8%	2	`(exp.f64 a)`
98.5%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.5%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.8%	2	`a`
68.1%	2	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes20.0ms (0.3%)

Memory

-13.1MiB live, 27.8MiB allocated; 7ms collecting garbage

Counts

14 → 2

Calls

Call 1

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

Calls

4 calls:

11.0ms	a
3.0ms	(+.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
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	`(exp.f64 a)`
98.1%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes12.0ms (0.2%)

Memory

21.5MiB live, 21.5MiB allocated; 0ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
95.2%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
95.2%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
95.3%	2	`(exp.f64 a)`
95.3%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes23.0ms (0.3%)

Memory

-36.3MiB live, 14.7MiB allocated; 6ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	a
1.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
1.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
94.5%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
94.5%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
94.5%	2	`(exp.f64 a)`
94.5%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes6.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
94.1%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
94.1%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
94.1%	2	`(exp.f64 a)`
94.1%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes5.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

1.0ms	a
1.0ms	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
46.6%	1	`(exp.f64 b)`
46.6%	1	`b`
46.6%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
46.6%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
46.6%	1	`(exp.f64 a)`
46.6%	1	`a`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

bsearch36.0ms (0.4%)

Memory

7.3MiB live, 53.7MiB allocated; 1ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	-1098711233.8747778	-0.11089003923297455

Samples

19.0ms	140×	1	valid
7.0ms	14×	2	valid
0.0ms	6×	0	valid

Compiler

Compiled 329 to 281 computations (14.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-exp: 9.0ms (41.3% of total)

ival-log: 9.0ms (41.3% of total)

adjust: 3.0ms (13.8% of total)

ival-add!: 1.0ms (4.6% of total)

bsearch31.0ms (0.4%)

Memory

-25.4MiB live, 21.0MiB allocated; 1ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	-1098711233.8747778	-0.11089003923297455

Samples

11.0ms	74×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 369 to 311 computations (15.7% saved)

Precisions

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

ival-exp: 5.0ms (56.2% of total)

ival-log: 3.0ms (33.7% of total)

adjust: 1.0ms (11.2% of total)

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

bsearch12.0ms (0.2%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-1098711233.8747778	-0.11089003923297455

Samples

8.0ms	60×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 269 to 241 computations (10.4% saved)

Precisions

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

ival-exp: 3.0ms (43.4% of total)

ival-log: 2.0ms (29% of total)

adjust: 1.0ms (14.5% of total)

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

bsearch44.0ms (0.5%)

Memory

-9.2MiB live, 37.0MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
42.0ms	-1098711233.8747778	-0.11089003923297455

Samples

27.0ms	30×	2	valid
11.0ms	61×	1	valid
0.0ms	5×	0	valid

Compiler

Compiled 269 to 241 computations (10.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-log: 26.0ms (73.6% of total)

ival-exp: 7.0ms (19.8% of total)

adjust: 2.0ms (5.7% of total)

ival-add!: 1.0ms (2.8% of total)

bsearch10.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-1098711233.8747778	-0.11089003923297455

Samples

6.0ms	46×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 289 to 251 computations (13.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-exp: 2.0ms (40.3% of total)

ival-log: 2.0ms (40.3% of total)

adjust: 1.0ms (20.2% of total)

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

derivations258.0ms (3.2%)

Memory

-18.4MiB live, 164.4MiB allocated; 15ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 197 to 54 computations (72.6% saved)

preprocess81.0ms (1%)

Memory: 37.3MiB live, 182.9MiB allocated; 10ms collecting garbage
Remove: (sort a b)
Compiler: Compiled 800 to 376 computations (53% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze160.0ms (2%)

sample5.7s (70.3%)

explain169.0ms (2.1%)

preprocess37.0ms (0.5%)

series103.0ms (1.3%)

rewrite232.0ms (2.9%)

eval8.0ms (0.1%)

prune4.0ms (0.1%)

series128.0ms (1.6%)

rewrite185.0ms (2.3%)

eval22.0ms (0.3%)

prune27.0ms (0.3%)

series79.0ms (1%)

rewrite178.0ms (2.2%)

eval24.0ms (0.3%)

prune9.0ms (0.1%)

series178.0ms (2.2%)

rewrite169.0ms (2.1%)

eval71.0ms (0.9%)

prune13.0ms (0.2%)

regimes37.0ms (0.5%)

regimes26.0ms (0.3%)

regimes20.0ms (0.3%)

regimes12.0ms (0.2%)

regimes23.0ms (0.3%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch36.0ms (0.4%)

bsearch31.0ms (0.4%)

bsearch12.0ms (0.2%)

bsearch44.0ms (0.5%)

bsearch10.0ms (0.1%)

derivations258.0ms (3.2%)

preprocess81.0ms (1%)

end0.0ms (0%)

Profiling