Metrics for symmetry log of sum of exp

start0.0ms (0%)

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

analyze140.0ms (1.6%)

Memory

-0.1MiB live, 186.1MiB allocated; 23ms 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)

sample5.6s (64.1%)

Memory

139.2MiB live, 5 657.9MiB allocated; 2.1s collecting garbage

Samples

2.8s	7 748×	5	exit
800.0ms	1 521×	2	valid
516.0ms	2 300×	1	valid
277.0ms	4 435×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.2s

ival-log: 1.2s (36.4% of total)

ival-exp: 905.0ms (28% of total)

adjust: 877.0ms (27.1% of total)

ival-add: 269.0ms (8.3% of total)

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

Bogosity

explain148.0ms (1.7%)

Memory

-11.6MiB live, 185.0MiB allocated; 20ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
121	-	1	(-0.015337860638485178 -5.812005926368607e+222)	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
0	-	0	-	`(+.f64 (exp.f64 a) (exp.f64 b))`
0	-	0	-	`a`
0	-	0	-	`(exp.f64 b)`
0	-	0	-	`b`
0	-	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	117	3
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	oflow-rescue	2	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	2
↳	`(exp.f64 b)`	overflow	2
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	uflow-rescue	1	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	underflow	1
↳	`(exp.f64 a)`	underflow	70
↳	`(exp.f64 b)`	underflow	52

Confusion

	Predicted +	Predicted -
+	120	1
-	0	135

Precision

1.0

Recall

0.9917355371900827

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	120	1	0
-	0	2	133

Precision?

0.983739837398374

Recall?

1.0

Freqs

test

number	freq
0	136
1	120

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

47.0ms	96×	2	valid
27.0ms	132×	1	valid
17.0ms	284×	0	valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-log: 38.0ms (52% of total)

ival-exp: 24.0ms (32.8% of total)

adjust: 6.0ms (8.2% of total)

ival-add: 4.0ms (5.5% of total)

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

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

preprocess186.0ms (2.1%)

Memory

20.8MiB live, 161.0MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort a b)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.9%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 6 to 6 computations (0% saved)

series97.0ms (1.1%)

Memory

13.0MiB live, 100.7MiB allocated; 12ms 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
43.0ms	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)
18.0ms	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)

rewrite198.0ms (2.3%)

Memory

-16.2MiB live, 164.9MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

36 → 71

Calls

Call 1

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

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

eval8.0ms (0.1%)

Memory: 14.1MiB live, 14.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 099 to 293 computations (73.3% saved)

prune7.0ms (0.1%)

Memory

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

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	62	9	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	10	72

Accuracy

100.0%

Counts

72 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.3%	(log.f64 (+.f64 (+.f64 (exp.f64 b) (cosh.f64 a)) (sinh.f64 a)))
▶	56.8%	(log.f64 (+.f64 (+.f64 (exp.f64 a) (cosh.f64 b)) (sinh.f64 b)))
✓	56.9%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	55.7%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
▶	55.3%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
	54.5%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
▶	52.6%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
▶	98.5%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
	52.6%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
▶	52.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))

Compiler

Compiled 214 to 182 computations (15% saved)

series292.0ms (3.3%)

Memory

3.5MiB live, 284.9MiB allocated; 55ms collecting garbage

Counts

26 → 101

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
b
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(exp.f64 a)
a
#s(literal -1 binary64)
(log1p.f64 (exp.f64 a))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 b)
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 1/2 binary64)
(log.f64 (+.f64 (+.f64 (exp.f64 a) (cosh.f64 b)) (sinh.f64 b)))
(+.f64 (+.f64 (exp.f64 a) (cosh.f64 b)) (sinh.f64 b))
(+.f64 (exp.f64 a) (cosh.f64 b))
(cosh.f64 b)
(sinh.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 (- (exp a) -1)) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (log (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (+ (log (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))) (/ a (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (+ (log (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2))))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))))))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (+ (log (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 3))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))) (* 3 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2)))))) (* 1/2 (- (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2)))))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))))))))
#s(approx (+ (+ (exp a) (cosh b)) (sinh b)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))))
#s(approx (+ (+ (exp a) (cosh b)) (sinh b)) #s(hole binary64 (+ 1 (+ a (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))))
#s(approx (+ (+ (exp a) (cosh b)) (sinh b)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (+ (* 1/2 (- (exp b) (/ 1 (exp b)))) (* a (+ 1 (* 1/2 a))))))))
#s(approx (+ (+ (exp a) (cosh b)) (sinh b)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (+ (* 1/2 (- (exp b) (/ 1 (exp b)))) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))))
#s(approx (+ (exp a) (cosh b)) #s(hole binary64 (+ 1 (* 1/2 (+ (exp b) (/ 1 (exp b)))))))
#s(approx (+ (exp a) (cosh b)) #s(hole binary64 (+ 1 (+ a (* 1/2 (+ (exp b) (/ 1 (exp b))))))))
#s(approx (+ (exp a) (cosh b)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (cosh b)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (log (+ (exp a) (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))))
#s(approx (+ (+ (exp a) (cosh b)) (sinh b)) #s(hole binary64 (+ (exp a) (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))))
#s(approx (+ (exp a) (cosh b)) #s(hole binary64 (+ (exp a) (* 1/2 (+ (exp b) (/ 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 (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh 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) (cosh b)) (sinh 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) (cosh b)) (sinh b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (+ (exp a) (cosh b)) (sinh b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (+ (exp a) (cosh b)) (sinh b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (+ (exp a) (cosh b)) (sinh b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (exp a) (cosh b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (cosh b)) #s(hole binary64 (+ 1 (+ (exp a) (* 1/2 (pow b 2))))))
#s(approx (+ (exp a) (cosh b)) #s(hole binary64 (+ 1 (+ (exp a) (* (pow b 2) (+ 1/2 (* 1/24 (pow b 2))))))))
#s(approx (+ (exp a) (cosh b)) #s(hole binary64 (+ 1 (+ (exp a) (* (pow b 2) (+ 1/2 (* (pow b 2) (+ 1/24 (* 1/720 (pow b 2))))))))))
#s(approx (cosh b) #s(hole binary64 1))
#s(approx (cosh b) #s(hole binary64 (+ 1 (* 1/2 (pow b 2)))))
#s(approx (cosh b) #s(hole binary64 (+ 1 (* (pow b 2) (+ 1/2 (* 1/24 (pow b 2)))))))
#s(approx (cosh b) #s(hole binary64 (+ 1 (* (pow b 2) (+ 1/2 (* (pow b 2) (+ 1/24 (* 1/720 (pow b 2)))))))))
#s(approx (sinh b) #s(hole binary64 b))
#s(approx (sinh b) #s(hole binary64 (* b (+ 1 (* 1/6 (pow b 2))))))
#s(approx (sinh b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/6 (* 1/120 (pow b 2))))))))
#s(approx (sinh b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 1/120 (* 1/5040 (pow b 2))))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (cosh b) #s(hole binary64 (* 1/2 (+ (exp b) (/ 1 (exp b))))))
#s(approx (sinh b) #s(hole binary64 (* 1/2 (- (exp b) (/ 1 (exp b))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))

Calls

6 calls:

Time	Variable		Point	Expression
128.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) 1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1/2 (log (+ (+ (exp a) (cosh b)) (sinh b))) (+ (+ (exp a) (cosh b)) (sinh b)) (+ (exp a) (cosh b)) (cosh b) (sinh b))
44.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) 1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1/2 (log (+ (+ (exp a) (cosh b)) (sinh b))) (+ (+ (exp a) (cosh b)) (sinh b)) (+ (exp a) (cosh b)) (cosh b) (sinh b))
44.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) 1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1/2 (log (+ (+ (exp a) (cosh b)) (sinh b))) (+ (+ (exp a) (cosh b)) (sinh b)) (+ (exp a) (cosh b)) (cosh b) (sinh b))
36.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) 1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1/2 (log (+ (+ (exp a) (cosh b)) (sinh b))) (+ (+ (exp a) (cosh b)) (sinh b)) (+ (exp a) (cosh b)) (cosh b) (sinh b))
31.0ms	a	@	0	((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) 1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1/2 (log (+ (+ (exp a) (cosh b)) (sinh b))) (+ (+ (exp a) (cosh b)) (sinh b)) (+ (exp a) (cosh b)) (cosh b) (sinh b))

rewrite161.0ms (1.8%)

Memory

25.9MiB live, 210.0MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	403	2417
0	433	2189
1	2587	2093
0	8265	1943

Stop Event

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

Counts

127 → 244

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
b
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(exp.f64 a)
a
#s(literal -1 binary64)
(log1p.f64 (exp.f64 a))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 b)
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 1/2 binary64)
(log.f64 (+.f64 (+.f64 (exp.f64 a) (cosh.f64 b)) (sinh.f64 b)))
(+.f64 (+.f64 (exp.f64 a) (cosh.f64 b)) (sinh.f64 b))
(+.f64 (exp.f64 a) (cosh.f64 b))
(cosh.f64 b)
(sinh.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 (- (exp a) -1)) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (log (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (+ (log (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))) (/ a (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (+ (log (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2))))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))))))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (+ (log (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 3))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))) (* 3 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2)))))) (* 1/2 (- (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2)))))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))))))))
#s(approx (+ (+ (exp a) (cosh b)) (sinh b)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))))
#s(approx (+ (+ (exp a) (cosh b)) (sinh b)) #s(hole binary64 (+ 1 (+ a (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))))
#s(approx (+ (+ (exp a) (cosh b)) (sinh b)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (+ (* 1/2 (- (exp b) (/ 1 (exp b)))) (* a (+ 1 (* 1/2 a))))))))
#s(approx (+ (+ (exp a) (cosh b)) (sinh b)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (+ (* 1/2 (- (exp b) (/ 1 (exp b)))) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))))
#s(approx (+ (exp a) (cosh b)) #s(hole binary64 (+ 1 (* 1/2 (+ (exp b) (/ 1 (exp b)))))))
#s(approx (+ (exp a) (cosh b)) #s(hole binary64 (+ 1 (+ a (* 1/2 (+ (exp b) (/ 1 (exp b))))))))
#s(approx (+ (exp a) (cosh b)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (cosh b)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (log (+ (exp a) (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))))
#s(approx (+ (+ (exp a) (cosh b)) (sinh b)) #s(hole binary64 (+ (exp a) (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))))
#s(approx (+ (exp a) (cosh b)) #s(hole binary64 (+ (exp a) (* 1/2 (+ (exp b) (/ 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 (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh 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) (cosh b)) (sinh 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) (cosh b)) (sinh b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (+ (exp a) (cosh b)) (sinh b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (+ (exp a) (cosh b)) (sinh b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (+ (exp a) (cosh b)) (sinh b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (exp a) (cosh b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (cosh b)) #s(hole binary64 (+ 1 (+ (exp a) (* 1/2 (pow b 2))))))
#s(approx (+ (exp a) (cosh b)) #s(hole binary64 (+ 1 (+ (exp a) (* (pow b 2) (+ 1/2 (* 1/24 (pow b 2))))))))
#s(approx (+ (exp a) (cosh b)) #s(hole binary64 (+ 1 (+ (exp a) (* (pow b 2) (+ 1/2 (* (pow b 2) (+ 1/24 (* 1/720 (pow b 2))))))))))
#s(approx (cosh b) #s(hole binary64 1))
#s(approx (cosh b) #s(hole binary64 (+ 1 (* 1/2 (pow b 2)))))
#s(approx (cosh b) #s(hole binary64 (+ 1 (* (pow b 2) (+ 1/2 (* 1/24 (pow b 2)))))))
#s(approx (cosh b) #s(hole binary64 (+ 1 (* (pow b 2) (+ 1/2 (* (pow b 2) (+ 1/24 (* 1/720 (pow b 2)))))))))
#s(approx (sinh b) #s(hole binary64 b))
#s(approx (sinh b) #s(hole binary64 (* b (+ 1 (* 1/6 (pow b 2))))))
#s(approx (sinh b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/6 (* 1/120 (pow b 2))))))))
#s(approx (sinh b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 1/120 (* 1/5040 (pow b 2))))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (cosh b) #s(hole binary64 (* 1/2 (+ (exp b) (/ 1 (exp b))))))
#s(approx (sinh b) #s(hole binary64 (* 1/2 (- (exp b) (/ 1 (exp b))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))

Outputs
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (+.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))))
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(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 (exp.f64 a) #s(literal -1 binary64)))
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(-.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 (+.f64 (cosh.f64 b) (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (*.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) (sinh.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 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b))))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (sinh.f64 b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) (sinh.f64 b))))
(/.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 (+.f64 (cosh.f64 b) (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (*.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) (sinh.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 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b))))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 b)) (-.f64 (exp.f64 a) (cosh.f64 b)) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (cosh.f64 b) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 a) (cosh.f64 b))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 b)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (.f64 (exp.f64 a) (cosh.f64 b)))) (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (*.f64 (exp.f64 a) (cosh.f64 b))))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (cosh.f64 b) #s(literal 2 binary64))) #s(literal 2 binary64) (.f64 (-.f64 (exp.f64 a) (cosh.f64 b)) (.f64 #s(literal 2 binary64) (sinh.f64 b)))) (*.f64 (-.f64 (exp.f64 a) (cosh.f64 b)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) #s(literal 2 binary64) (.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (.f64 (exp.f64 a) (cosh.f64 b)))) (.f64 #s(literal 2 binary64) (sinh.f64 b)))) (.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (*.f64 (exp.f64 a) (cosh.f64 b)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (sinh.f64 b) #s(literal 2 binary64))) (-.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) (sinh.f64 b)))
(/.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 (+.f64 (cosh.f64 b) (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (*.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) (sinh.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 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) (sinh.f64 b))) (/.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (-.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) (sinh.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 (pow.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) (sinh.f64 b))))) (/.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) (sinh.f64 b))))))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b))))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b))))))
(+.f64 (sinh.f64 b) (+.f64 (cosh.f64 b) (exp.f64 a)))
(+.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) (sinh.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 a) (exp.f64 b))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (cosh.f64 b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 a) (cosh.f64 b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (*.f64 (exp.f64 a) (cosh.f64 b))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (cosh.f64 b) #s(literal 2 binary64))) (-.f64 (exp.f64 a) (cosh.f64 b)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (*.f64 (exp.f64 a) (cosh.f64 b)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (cosh.f64 b))) (/.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (cosh.f64 b))))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (.f64 (exp.f64 a) (cosh.f64 b))))) (/.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (.f64 (exp.f64 a) (cosh.f64 b))))))
(+.f64 (cosh.f64 b) (exp.f64 a))
(+.f64 (exp.f64 a) (cosh.f64 b))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 b))) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 b)))
(cosh.f64 (neg.f64 b))
(cosh.f64 b)
(+.f64 (/.f64 (exp.f64 (neg.f64 b)) #s(literal 2 binary64)) (/.f64 (exp.f64 b) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 b) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 b)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 b)) #s(literal 2 binary64))
(sinh.f64 b)
(-.f64 (/.f64 (exp.f64 b) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 b)) #s(literal 2 binary64)))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 (exp.f64 b)))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh 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) (cosh b)) (sinh 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) (cosh b)) (sinh b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ (+ (exp a) (cosh b)) (sinh b)) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
#s(approx (+ (+ (exp a) (cosh b)) (sinh 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) (cosh b)) (sinh b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b))))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (+.f64 (/.f64 a (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64))) (log1p.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b)))))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))) a (log1p.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b)))))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) a) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64)))))) a (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))) a (log1p.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b)))))))
#s(approx (+ (+ (exp a) (cosh b)) (sinh b)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)))
#s(approx (+ (+ (exp a) (cosh b)) (sinh b)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) a) #s(literal 1 binary64)))
#s(approx (+ (+ (exp a) (cosh b)) (sinh b)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b))) (.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) #s(literal 1 binary64)))
#s(approx (+ (+ (exp a) (cosh b)) (sinh b)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b))) (.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 (+ (exp a) (cosh b)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (exp a) (cosh b)) (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 1/2 binary64) a) #s(literal 1 binary64)))
#s(approx (+ (exp a) (cosh b)) (+.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (cosh b)) (+.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 1/2 binary64) (.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 (log (+ (+ (exp a) (cosh b)) (sinh 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) (cosh b)) (sinh b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) (exp.f64 a))))
#s(approx (+ (+ (exp a) (cosh b)) (sinh b)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) (exp.f64 a)))
#s(approx (+ (exp a) (cosh b)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 1/2 binary64) (exp.f64 a)))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh 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) (cosh b)) (sinh b))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (log1p.f64 (exp.f64 a)))
#s(approx b b)
#s(approx (+ (+ (exp a) (cosh b)) (sinh b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (+ (exp a) (cosh b)) (sinh b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (+ (exp a) (cosh b)) (sinh 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) (cosh b)) (sinh b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (+.f64 #s(literal 1 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (+ (* 1/2 b) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh 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) (cosh b)) (sinh 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 (+ (+ (exp a) (cosh b)) (sinh b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (+ (exp a) (cosh b)) (sinh b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (+ (exp a) (cosh b)) (sinh 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) (cosh b)) (sinh b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (cosh b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (cosh b)) (+.f64 (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (cosh b)) (+.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 b b) (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (cosh b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 b b) #s(literal 1/24 binary64)) (.f64 b b) #s(literal 1/2 binary64)) (*.f64 b b) (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (cosh b) #s(literal 1 binary64))
#s(approx (cosh b) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 b b) #s(literal 1 binary64)))
#s(approx (cosh b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 b b) #s(literal 1/24 binary64)) (.f64 b b) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (sinh b) b)
#s(approx (sinh b) (.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (sinh b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sinh b) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #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 (exp b) (exp.f64 b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (.f64 (.f64 b b) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 b #s(literal -2 binary64))) (.f64 b b)))
#s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (* 1/2 b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (cosh b) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 1/2 binary64)))
#s(approx (sinh b) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 b)) #s(literal 1/2 binary64)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 a))) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b)))

eval37.0ms (0.4%)

Memory: -29.3MiB live, 62.8MiB allocated; 6ms collecting garbage
Compiler: Compiled 6 729 to 1 180 computations (82.5% saved)

prune13.0ms (0.1%)

Memory

29.2MiB live, 29.2MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	275	10	285
Fresh	3	1	4
Picked	4	1	5
Done	1	0	1
Total	283	12	295

Accuracy

100.0%

Counts

295 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.3%	(log.f64 (+.f64 (+.f64 (exp.f64 b) (cosh.f64 a)) (sinh.f64 a)))
▶	50.6%	(log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
	52.6%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 (cosh.f64 b) (sinh.f64 b))))
	51.8%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
▶	52.6%	#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 (exp.f64 b)))
✓	52.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
	49.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
	51.3%	#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)))))
	49.9%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
▶	50.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
▶	50.6%	#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)))))
▶	50.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))

Compiler

Compiled 388 to 309 computations (20.4% saved)

series145.0ms (1.7%)

Memory

-36.4MiB live, 153.5MiB allocated; 17ms collecting garbage

Counts

26 → 79

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
52.0ms	a	@	-inf	((log (+ (+ (exp a) (cosh b)) (sinh b))) (log (+ 1 (exp b))) (exp b) b (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (log 2) 2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) 1/2 a (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ 1 a) 1 (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1))
32.0ms	b	@	-inf	((log (+ (+ (exp a) (cosh b)) (sinh b))) (log (+ 1 (exp b))) (exp b) b (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (log 2) 2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) 1/2 a (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ 1 a) 1 (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1))
31.0ms	b	@	inf	((log (+ (+ (exp a) (cosh b)) (sinh b))) (log (+ 1 (exp b))) (exp b) b (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (log 2) 2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) 1/2 a (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ 1 a) 1 (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1))
24.0ms	a	@	inf	((log (+ (+ (exp a) (cosh b)) (sinh b))) (log (+ 1 (exp b))) (exp b) b (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (log 2) 2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) 1/2 a (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ 1 a) 1 (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1))
4.0ms	a	@	0	((log (+ (+ (exp a) (cosh b)) (sinh b))) (log (+ 1 (exp b))) (exp b) b (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (log 2) 2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) 1/2 a (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ 1 a) 1 (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1))

rewrite176.0ms (2%)

Memory

1.7MiB live, 243.6MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	305	1818
0	315	1667
1	1810	1601
0	8144	1475

Stop Event

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

Counts

105 → 217

Calls

Call 1

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

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

eval28.0ms (0.3%)

Memory: -0.9MiB live, 45.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 6 553 to 1 041 computations (84.1% saved)

prune13.0ms (0.1%)

Memory

30.5MiB live, 30.5MiB allocated; 0ms collecting garbage

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	216	10	226
Fresh	3	3	6
Picked	1	4	5
Done	0	1	1
Total	220	18	238

Accuracy

100.0%

Counts

238 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.3%	(log.f64 (+.f64 (+.f64 (exp.f64 b) (cosh.f64 a)) (sinh.f64 a)))
	51.5%	(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ 1 a) #s(literal 1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
▶	52.6%	#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 (+.f64 (cosh.f64 b) (sinh.f64 b))))
✓	52.6%	#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 (exp.f64 b)))
	51.2%	#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
▶	51.9%	#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
▶	51.8%	#s(approx (log (+ (+ (exp a) (cosh b)) (sinh 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)))))
	51.3%	#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
✓	52.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
▶	49.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
	49.9%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
✓	50.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
	50.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 1/8 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) a)) a (log.f64 #s(literal 2 binary64)))))
✓	50.6%	#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)))))
✓	50.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))
	2.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (.f64 a a)))))
	3.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))))
▶	2.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))

Compiler

Compiled 659 to 531 computations (19.4% saved)

series170.0ms (1.9%)

Memory

5.2MiB live, 192.6MiB allocated; 15ms collecting garbage

Counts

31 → 98

Calls

Call 1

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

Outputs
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (log (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (+ (log (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))) (/ a (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (+ (log (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2))))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))))))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (+ (log (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 3))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))) (* 3 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2)))))) (* 1/2 (- (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2)))))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp 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 (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (* 1/2 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 (* 1/2 a) #s(hole binary64 (* 1/2 a)))
#s(approx a #s(hole binary64 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 (+ 1 a) #s(hole binary64 1))
#s(approx (+ 1 a) #s(hole binary64 (+ 1 a)))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (log (+ (exp a) (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp 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 (exp a) #s(hole binary64 (exp a)))
#s(approx (+ 1 a) #s(hole binary64 a))
#s(approx (+ 1 a) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh 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) (cosh b)) (sinh 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 (+ (cosh b) (sinh b)))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (+ (cosh b) (sinh b)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (+ (cosh b) (sinh b)))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (+ (cosh b) (sinh b)))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (+ (cosh b) (sinh b)) #s(hole binary64 1))
#s(approx (+ (cosh b) (sinh b)) #s(hole binary64 (+ 1 b)))
#s(approx (+ (cosh b) (sinh b)) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (cosh b) (sinh b)) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (cosh b) #s(hole binary64 1))
#s(approx (cosh b) #s(hole binary64 (+ 1 (* 1/2 (pow b 2)))))
#s(approx (cosh b) #s(hole binary64 (+ 1 (* (pow b 2) (+ 1/2 (* 1/24 (pow b 2)))))))
#s(approx (cosh b) #s(hole binary64 (+ 1 (* (pow b 2) (+ 1/2 (* (pow b 2) (+ 1/24 (* 1/720 (pow b 2)))))))))
#s(approx b #s(hole binary64 b))
#s(approx (sinh b) #s(hole binary64 b))
#s(approx (sinh b) #s(hole binary64 (* b (+ 1 (* 1/6 (pow b 2))))))
#s(approx (sinh b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/6 (* 1/120 (pow b 2))))))))
#s(approx (sinh b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 1/120 (* 1/5040 (pow b 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 (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 b))))
#s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 b))))
#s(approx (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) #s(hole binary64 (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
#s(approx (+ (* (* b b) -1/192) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (* b b) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow b 2)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (log (+ 1 (+ (cosh b) (sinh b)))) #s(hole binary64 (log (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))))
#s(approx (+ (cosh b) (sinh b)) #s(hole binary64 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))
#s(approx (cosh b) #s(hole binary64 (* 1/2 (+ (exp b) (/ 1 (exp b))))))
#s(approx (sinh b) #s(hole binary64 (* 1/2 (- (exp b) (/ 1 (exp b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* 1/8 (pow b 2))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* 1/8 b)))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* b (+ 1/8 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) #s(hole binary64 (* -1/192 (pow b 4))))
#s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (+ (* 1/8 (/ 1 (pow b 2))) (/ (log 2) (pow b 4)))) 1/192))))
#s(approx (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) #s(hole binary64 (* -1/192 (pow b 3))))
#s(approx (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) #s(hole binary64 (* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192))))
#s(approx (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) #s(hole binary64 (* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))))
#s(approx (+ (* (* b b) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow b 2))))
#s(approx (+ (* (* b b) -1/192) 1/8) #s(hole binary64 (* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192))))
#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 (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) (pow b 3))) (* 1/8 (/ 1 (pow b 2)))) 1/192))))
#s(approx (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- 1/192 (* 1/8 (/ 1 (pow b 2))))))))
#s(approx (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2))))))))

Calls

6 calls:

Time	Variable		Point	Expression
70.0ms	b	@	inf	((log (+ (+ (exp a) (cosh b)) (sinh b))) (log (+ 1 (+ (cosh b) (sinh b)))) (+ (cosh b) (sinh b)) (cosh b) b (sinh b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (* 1/2 a) 1/2 a (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) 1 (log (+ (+ (exp a) (cosh b)) (sinh b))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) 1/8 (log 2) 2 (log (+ (+ (exp a) (cosh b)) (sinh b))) (log (+ 1 (exp b))) (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) (+ (* (* b b) -1/192) 1/8) (* b b) -1/192)
48.0ms	b	@	-inf	((log (+ (+ (exp a) (cosh b)) (sinh b))) (log (+ 1 (+ (cosh b) (sinh b)))) (+ (cosh b) (sinh b)) (cosh b) b (sinh b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (* 1/2 a) 1/2 a (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) 1 (log (+ (+ (exp a) (cosh b)) (sinh b))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) 1/8 (log 2) 2 (log (+ (+ (exp a) (cosh b)) (sinh b))) (log (+ 1 (exp b))) (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) (+ (* (* b b) -1/192) 1/8) (* b b) -1/192)
23.0ms	a	@	-inf	((log (+ (+ (exp a) (cosh b)) (sinh b))) (log (+ 1 (+ (cosh b) (sinh b)))) (+ (cosh b) (sinh b)) (cosh b) b (sinh b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (* 1/2 a) 1/2 a (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) 1 (log (+ (+ (exp a) (cosh b)) (sinh b))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) 1/8 (log 2) 2 (log (+ (+ (exp a) (cosh b)) (sinh b))) (log (+ 1 (exp b))) (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) (+ (* (* b b) -1/192) 1/8) (* b b) -1/192)
23.0ms	a	@	inf	((log (+ (+ (exp a) (cosh b)) (sinh b))) (log (+ 1 (+ (cosh b) (sinh b)))) (+ (cosh b) (sinh b)) (cosh b) b (sinh b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (* 1/2 a) 1/2 a (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) 1 (log (+ (+ (exp a) (cosh b)) (sinh b))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) 1/8 (log 2) 2 (log (+ (+ (exp a) (cosh b)) (sinh b))) (log (+ 1 (exp b))) (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) (+ (* (* b b) -1/192) 1/8) (* b b) -1/192)
3.0ms	a	@	0	((log (+ (+ (exp a) (cosh b)) (sinh b))) (log (+ 1 (+ (cosh b) (sinh b)))) (+ (cosh b) (sinh b)) (cosh b) b (sinh b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (* 1/2 a) 1/2 a (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) 1 (log (+ (+ (exp a) (cosh b)) (sinh b))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) 1/8 (log 2) 2 (log (+ (+ (exp a) (cosh b)) (sinh b))) (log (+ 1 (exp b))) (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) (+ (* (* b b) -1/192) 1/8) (* b b) -1/192)

rewrite195.0ms (2.2%)

Memory

7.9MiB live, 233.6MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	384	2384
0	403	2124
1	2188	2047
0	9372	1907

Stop Event

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

Counts

129 → 264

Calls

Call 1

Inputs
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 (+.f64 (cosh.f64 b) (sinh.f64 b))))
(log1p.f64 (+.f64 (cosh.f64 b) (sinh.f64 b)))
(+.f64 (cosh.f64 b) (sinh.f64 b))
(cosh.f64 b)
b
(sinh.f64 b)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
#s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a)))
#s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))
(*.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh 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)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 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))))
(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)))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64))
(fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(*.f64 b b)
#s(literal -1/192 binary64)
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (log (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (+ (log (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))) (/ a (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (+ (log (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2))))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))))))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (+ (log (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 3))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))) (* 3 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2)))))) (* 1/2 (- (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2)))))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp 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 (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (* 1/2 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 (* 1/2 a) #s(hole binary64 (* 1/2 a)))
#s(approx a #s(hole binary64 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 (+ 1 a) #s(hole binary64 1))
#s(approx (+ 1 a) #s(hole binary64 (+ 1 a)))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (log (+ (exp a) (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp 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 (exp a) #s(hole binary64 (exp a)))
#s(approx (+ 1 a) #s(hole binary64 a))
#s(approx (+ 1 a) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh 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) (cosh b)) (sinh 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 (+ (cosh b) (sinh b)))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (+ (cosh b) (sinh b)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (+ (cosh b) (sinh b)))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (+ (cosh b) (sinh b)))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (+ (cosh b) (sinh b)) #s(hole binary64 1))
#s(approx (+ (cosh b) (sinh b)) #s(hole binary64 (+ 1 b)))
#s(approx (+ (cosh b) (sinh b)) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (cosh b) (sinh b)) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (cosh b) #s(hole binary64 1))
#s(approx (cosh b) #s(hole binary64 (+ 1 (* 1/2 (pow b 2)))))
#s(approx (cosh b) #s(hole binary64 (+ 1 (* (pow b 2) (+ 1/2 (* 1/24 (pow b 2)))))))
#s(approx (cosh b) #s(hole binary64 (+ 1 (* (pow b 2) (+ 1/2 (* (pow b 2) (+ 1/24 (* 1/720 (pow b 2)))))))))
#s(approx b #s(hole binary64 b))
#s(approx (sinh b) #s(hole binary64 b))
#s(approx (sinh b) #s(hole binary64 (* b (+ 1 (* 1/6 (pow b 2))))))
#s(approx (sinh b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/6 (* 1/120 (pow b 2))))))))
#s(approx (sinh b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 1/120 (* 1/5040 (pow b 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 (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 b))))
#s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 b))))
#s(approx (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) #s(hole binary64 (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
#s(approx (+ (* (* b b) -1/192) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (* b b) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow b 2)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (log (+ 1 (+ (cosh b) (sinh b)))) #s(hole binary64 (log (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))))
#s(approx (+ (cosh b) (sinh b)) #s(hole binary64 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))
#s(approx (cosh b) #s(hole binary64 (* 1/2 (+ (exp b) (/ 1 (exp b))))))
#s(approx (sinh b) #s(hole binary64 (* 1/2 (- (exp b) (/ 1 (exp b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* 1/8 (pow b 2))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* 1/8 b)))
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* b (+ 1/8 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) #s(hole binary64 (* -1/192 (pow b 4))))
#s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (+ (* 1/8 (/ 1 (pow b 2))) (/ (log 2) (pow b 4)))) 1/192))))
#s(approx (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) #s(hole binary64 (* -1/192 (pow b 3))))
#s(approx (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) #s(hole binary64 (* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192))))
#s(approx (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) #s(hole binary64 (* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))))
#s(approx (+ (* (* b b) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow b 2))))
#s(approx (+ (* (* b b) -1/192) 1/8) #s(hole binary64 (* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192))))
#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 (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) (pow b 3))) (* 1/8 (/ 1 (pow b 2)))) 1/192))))
#s(approx (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- 1/192 (* 1/8 (/ 1 (pow b 2))))))))
#s(approx (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2))))))))

Outputs
#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 (exp.f64 b) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) (fma.f64 (sinh.f64 b) (sinh.f64 b) (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 b) (*.f64 #s(literal 2 binary64) (cosh.f64 b))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (*.f64 (cosh.f64 b) (sinh.f64 b))))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 b)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 b)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 b)))) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 2 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 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (*.f64 (cosh.f64 b) (sinh.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 b))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (exp.f64 (neg.f64 b))) (/.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (exp.f64 (neg.f64 b))))
(exp.f64 b)
(+.f64 (/.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (.f64 (cosh.f64 b) (sinh.f64 b))))) (/.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (.f64 (cosh.f64 b) (sinh.f64 b))))))
(+.f64 (sinh.f64 b) (cosh.f64 b))
(+.f64 (cosh.f64 b) (sinh.f64 b))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 b))) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 b)))
(cosh.f64 (neg.f64 b))
(cosh.f64 b)
(+.f64 (/.f64 (exp.f64 (neg.f64 b)) #s(literal 2 binary64)) (/.f64 (exp.f64 b) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 b) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 b)) #s(literal 2 binary64)))
b
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 b)) #s(literal 2 binary64))
(sinh.f64 b)
(-.f64 (/.f64 (exp.f64 b) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 b)) #s(literal 2 binary64)))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
#s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a)))
#s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))
(*.f64 #s(literal 1/2 binary64) a)
(*.f64 a #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
a
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))))
(-.f64 (log1p.f64 (pow.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))))
(log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 a a (-.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a))) (neg.f64 (-.f64 #s(literal 1 binary64) a)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 #s(literal 1 binary64) a)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a)) (-.f64 #s(literal 1 binary64) a))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 #s(literal 1 binary64) a))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 #s(literal 1 binary64) a)))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 #s(literal 1 binary64) a)))))
(+.f64 #s(literal 1 binary64) a)
(+.f64 a #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (+ (cosh b) (sinh 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 (+ (cosh b) (sinh 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 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) (log.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) (log.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
(fma.f64 b (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) (log.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) (log.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) (log.f64 #s(literal 2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) b))))
(/.f64 (neg.f64 (fma.f64 #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 (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))))))
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(/.f64 (neg.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 (.f64 b b) #s(literal 3 binary64)) #s(literal 1/512 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (-.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 1/8 binary64)))
(/.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (*.f64 b b) #s(literal -1/192 binary64))))))
(/.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 (.f64 b b) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (+.f64 (pow.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64))
(fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(-.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))
(-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/192 binary64) (.f64 b b)))
(+.f64 (/.f64 #s(literal 1/512 binary64) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))) (/.f64 #s(literal 1/512 binary64) (+.f64 (pow.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))))
(+.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(fabs.f64 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 b) #s(literal 2 binary64))))
#s(literal -1/192 binary64)
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b))))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64))) (log1p.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b)))))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))) a (log1p.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b)))))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -2 binary64))))) (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) a (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))) a (log1p.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.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 (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) (fma.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64) (-.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 3 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 (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* 1/2 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 (* 1/2 a) (*.f64 #s(literal 1/2 binary64) a))
#s(approx a a)
#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 (+ 1 a) #s(literal 1 binary64))
#s(approx (+ 1 a) (+.f64 #s(literal 1 binary64) a))
#s(approx (log (+ (exp a) (exp b))) (log.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (log (+ 1 (exp a))) (log1p.f64 (exp.f64 a)))
#s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))
#s(approx (+ (* 1/2 a) (log 2)) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 binary64)) a))
#s(approx (exp a) (exp.f64 a))
#s(approx (+ 1 a) a)
#s(approx (+ 1 a) (fma.f64 #s(literal 1 binary64) a #s(literal 1 binary64)))
#s(approx (+ (* 1/2 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))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a))))
#s(approx (log (+ 1 (+ (cosh b) (sinh b)))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (+ (cosh b) (sinh b)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (+ (cosh b) (sinh 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 (+ (cosh b) (sinh 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 (+ (cosh b) (sinh b)) #s(literal 1 binary64))
#s(approx (+ (cosh b) (sinh b)) (+.f64 #s(literal 1 binary64) b))
#s(approx (+ (cosh b) (sinh b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (+ (cosh b) (sinh 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 (cosh b) #s(literal 1 binary64))
#s(approx (cosh b) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh b) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 b b) #s(literal 1/2 binary64)) (.f64 b b) #s(literal 1 binary64)))
#s(approx (cosh b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 b b) #s(literal 1/24 binary64)) (.f64 b b) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx b b)
#s(approx (sinh b) b)
#s(approx (sinh b) (.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (sinh b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sinh b) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a))))
#s(approx (log (+ 1 (+ (cosh b) (sinh b)))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (+ (cosh b) (sinh b)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (+ (cosh b) (sinh 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 (+ (cosh b) (sinh 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 (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* 1/8 b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/8 b) 1/2) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 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 (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)))
#s(approx (+ (* (* b b) -1/192) 1/8) #s(literal 1/8 binary64))
#s(approx (+ (* (* b b) -1/192) 1/8) (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)))
#s(approx (* b b) (*.f64 b b))
#s(approx (log (+ 1 (+ (cosh b) (sinh b)))) (log1p.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b))))))
#s(approx (+ (cosh b) (sinh b)) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (.f64 #s(literal 2 binary64) (sinh.f64 b)))))
#s(approx (cosh b) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 1/2 binary64)))
#s(approx (sinh b) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 b)) #s(literal 1/2 binary64)))
#s(approx (log (+ 1 (+ (cosh b) (sinh b)))) (log1p.f64 (exp.f64 b)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 b b))) (*.f64 b b)))
#s(approx (+ (* 1/8 b) 1/2) (*.f64 #s(literal 1/8 binary64) b))
#s(approx (+ (* 1/8 b) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) b))
#s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1/192 binary64)))
#s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) (.f64 (-.f64 (.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/192 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) (*.f64 (-.f64 (fma.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/192 binary64)))
#s(approx (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) (.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/192 binary64))))
#s(approx (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) (*.f64 (-.f64 (fma.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (* b b) -1/192) 1/8) (.f64 (.f64 b b) #s(literal -1/192 binary64)))
#s(approx (+ (* (* b b) -1/192) 1/8) (.f64 (-.f64 (.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/192 binary64)) (*.f64 b b)))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) b) #s(literal 1/2 binary64)) b) #s(literal -1 binary64) #s(literal 1/8 binary64)) (.f64 b b)))
#s(approx (+ (* (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) b) (log 2)) (*.f64 (-.f64 (fma.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/8 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) b) #s(literal 1/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) #s(literal 1/192 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) (neg.f64 (.f64 (-.f64 #s(literal 1/192 binary64) (.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/8 binary64))) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (* b b) -1/192) 1/8) b) 1/2) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) b) #s(literal 1/192 binary64)) (pow.f64 b #s(literal 3 binary64)))))

eval34.0ms (0.4%)

Memory: 16.5MiB live, 62.8MiB allocated; 3ms collecting garbage
Compiler: Compiled 9 126 to 1 320 computations (85.5% saved)

prune31.0ms (0.4%)

Memory

-11.4MiB live, 46.4MiB allocated; 19ms collecting garbage

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	268	6	274
Fresh	3	5	8
Picked	1	4	5
Done	0	5	5
Total	272	20	292

Accuracy

100.0%

Counts

292 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.3%	(log.f64 (+.f64 (+.f64 (exp.f64 b) (cosh.f64 a)) (sinh.f64 a)))
	52.0%	#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 (+.f64 #s(approx (cosh b) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 b b) #s(literal 1/2 binary64)) (.f64 b b) #s(literal 1 binary64))) (sinh.f64 b))))
✓	52.6%	#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 (exp.f64 b)))
	51.5%	#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 #s(approx (+ (cosh b) (sinh b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
	51.2%	#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 #s(approx (+ (cosh b) (sinh b)) (+.f64 #s(literal 1 binary64) b))))
	51.3%	#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (+ (cosh b) (sinh b)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
✓	51.9%	#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
✓	51.8%	#s(approx (log (+ (+ (exp a) (cosh b)) (sinh 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)))))
	8.7%	#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b)))))
	5.0%	#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))
✓	52.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
✓	49.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
	49.9%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
✓	50.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
	50.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 1/8 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) a)) a (log.f64 #s(literal 2 binary64)))))
✓	50.6%	#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)))))
✓	50.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))
	2.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (.f64 a a)))))
	3.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))))
✓	2.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))

Compiler

Compiled 1 154 to 541 computations (53.1% saved)

regimes51.0ms (0.6%)

Memory

-11.1MiB live, 80.7MiB allocated; 6ms collecting garbage

Counts

36 → 1

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (.f64 a a)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 #s(approx (+ (cosh b) (sinh 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 (+ (/ 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) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (+ (cosh b) (sinh b)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh 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) (cosh b)) (sinh b))) (log1p.f64 #s(approx (+ (cosh b) (sinh b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ 1 a) #s(literal 1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 1/8 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) a)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 (+.f64 #s(approx (cosh b) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 b b) #s(literal 1/2 binary64)) (.f64 b b) #s(literal 1 binary64))) (sinh.f64 b))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 (+.f64 (cosh.f64 b) (sinh.f64 b))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 (cosh.f64 b) (sinh.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))))
(log.f64 (+.f64 (+.f64 (exp.f64 a) (cosh.f64 b)) (sinh.f64 b)))
(log.f64 (+.f64 (+.f64 (exp.f64 b) (cosh.f64 a)) (sinh.f64 a)))

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

Calls

6 calls:

11.0ms	b
9.0ms	a
8.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
7.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
98.5%	1	`(exp.f64 b)`
98.5%	1	`(exp.f64 a)`
98.5%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.5%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.5%	1	`a`
98.5%	1	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes45.0ms (0.5%)

Memory

17.3MiB live, 63.5MiB allocated; 1ms collecting garbage

Counts

33 → 2

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (.f64 a a)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 #s(approx (+ (cosh b) (sinh 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 (+ (/ 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) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (+ (cosh b) (sinh b)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh 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) (cosh b)) (sinh b))) (log1p.f64 #s(approx (+ (cosh b) (sinh b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ 1 a) #s(literal 1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 1/8 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) a)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 (+.f64 #s(approx (cosh b) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 b b) #s(literal 1/2 binary64)) (.f64 b b) #s(literal 1 binary64))) (sinh.f64 b))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 (+.f64 (cosh.f64 b) (sinh.f64 b))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 (cosh.f64 b) (sinh.f64 b))))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
56.9%	1	`(exp.f64 b)`
99.5%	2	`(exp.f64 a)`
98.8%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.8%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
99.5%	2	`a`
69.5%	2	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes30.0ms (0.3%)

Memory

-5.0MiB live, 44.9MiB allocated; 5ms collecting garbage

Counts

31 → 2

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (.f64 a a)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 #s(approx (+ (cosh b) (sinh 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 (+ (/ 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) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (+ (cosh b) (sinh b)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh 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) (cosh b)) (sinh b))) (log1p.f64 #s(approx (+ (cosh b) (sinh b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ 1 a) #s(literal 1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 1/8 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) a)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 (+.f64 #s(approx (cosh b) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 b b) #s(literal 1/2 binary64)) (.f64 b b) #s(literal 1 binary64))) (sinh.f64 b))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 (+.f64 (cosh.f64 b) (sinh.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) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.0%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.0%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.7%	2	`(exp.f64 a)`
98.7%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes15.0ms (0.2%)

Memory

-27.6MiB live, 18.6MiB allocated; 2ms collecting garbage

Counts

28 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

7.0ms	a
6.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.4%	2	`(exp.f64 a)`
98.4%	2	`a`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes14.0ms (0.2%)

Memory

23.3MiB live, 23.3MiB allocated; 0ms collecting garbage

Counts

27 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

7.0ms	a
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
100.0%	3	`(exp.f64 a)`
100.0%	3	`a`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes22.0ms (0.3%)

Memory

-10.0MiB live, 36.9MiB allocated; 1ms collecting garbage

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.1%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
97.1%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
97.9%	2	`(exp.f64 a)`
97.9%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes10.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Counts

18 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	a
4.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes25.0ms (0.3%)

Memory

-6.0MiB live, 40.6MiB allocated; 2ms collecting garbage

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
51.8%	1	`(exp.f64 b)`
51.8%	1	`b`
56.2%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
56.2%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
56.2%	2	`(exp.f64 a)`
56.2%	2	`a`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes17.0ms (0.2%)

Memory

-22.0MiB live, 28.0MiB allocated; 4ms collecting garbage

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
55.7%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
55.7%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
55.7%	2	`a`
55.7%	2	`(exp.f64 a)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes14.0ms (0.2%)

Memory

29.0MiB live, 29.0MiB allocated; 0ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

4.0ms	a
3.0ms	(+.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
55.6%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
55.6%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
55.6%	2	`a`
55.6%	2	`(exp.f64 a)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes12.0ms (0.1%)

Memory

-28.4MiB live, 18.6MiB allocated; 1ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
55.5%	2	`a`
55.5%	2	`(exp.f64 a)`
55.5%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
55.5%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes9.0ms (0.1%)

Memory

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

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
55.4%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
55.4%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
55.5%	2	`a`
55.5%	2	`(exp.f64 a)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes8.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
54.6%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
54.6%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
54.6%	2	`a`
54.6%	2	`(exp.f64 a)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes12.0ms (0.1%)

Memory

-27.9MiB live, 19.0MiB allocated; 2ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

3.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
2.0ms	b
2.0ms	a
2.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
8.7%	1	`(exp.f64 b)`
8.7%	1	`b`
8.7%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
8.7%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
8.7%	1	`a`
8.7%	1	`(exp.f64 a)`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes10.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

2.0ms	a
2.0ms	b
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
5.0%	1	`(exp.f64 b)`
5.0%	1	`b`
5.0%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
5.0%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
5.0%	1	`a`
5.0%	1	`(exp.f64 a)`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes7.0ms (0.1%)

Memory

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

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

6 calls:

1.0ms	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
3.3%	1	`(exp.f64 b)`
3.3%	1	`b`
3.3%	1	`a`
3.3%	1	`(exp.f64 a)`
3.3%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
3.3%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes39.0ms (0.5%)

Memory

-34.8MiB live, 12.2MiB allocated; 2ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

34.0ms	(exp.f64 b)
1.0ms	b
1.0ms	a
1.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
1.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
2.6%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
2.6%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
2.6%	1	`(exp.f64 b)`
2.6%	1	`(exp.f64 a)`
2.6%	1	`a`
2.6%	1	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

bsearch30.0ms (0.3%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-108543.60686815894	-56.561279638153486

Samples

18.0ms	113×	1	valid
4.0ms	8×	2	valid
0.0ms	7×	0	valid

Compiler

Compiled 265 to 227 computations (14.3% saved)

Precisions

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

ival-exp: 8.0ms (43.4% of total)

ival-log: 7.0ms (38% of total)

adjust: 3.0ms (16.3% of total)

ival-add: 1.0ms (5.4% of total)

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

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

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-108543.60686815894	-56.561279638153486

Compiler

Compiled 353 to 283 computations (19.8% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-108543.60686815894	-56.561279638153486

Compiler

Compiled 329 to 267 computations (18.8% saved)

bsearch45.0ms (0.5%)

Memory

-23.4MiB live, 24.4MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-1.455447290705742e-12	-2.2658778674739137e-17
16.0ms	-108543.60686815894	-56.561279638153486

Samples

12.0ms	73×	1	valid
7.0ms	135×	0	valid

Compiler

Compiled 457 to 411 computations (10.1% saved)

Precisions

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

ival-exp: 6.0ms (43% of total)

ival-log: 5.0ms (35.8% of total)

adjust: 2.0ms (14.3% of total)

ival-add: 1.0ms (7.2% of total)

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

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

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.027387762883910483	0.9999888879143827

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.7273970332887894e-25

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.7273970332887894e-25

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.7273970332887894e-25

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.2145872396352734e-5	0.027019428218865035

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.7273970332887894e-25

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.027387762883910483	0.9999888879143827

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.7273970332887894e-25

Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify52.0ms (0.6%)

Memory

-8.0MiB live, 37.6MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	755
1	165	755
2	258	755
3	613	755
4	2951	755

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -57 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 a #s(literal -57 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(if (<=.f64 a #s(literal -57 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(if (<=.f64 a #s(literal -380 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (if (<=.f64 a #s(literal -8315787937497185/10141204801825835211973625643008 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)))))
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b))))) #s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b))))) #s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))

Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -57 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 a #s(literal -57 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(if (<=.f64 a #s(literal -57 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(if (<=.f64 a #s(literal -380 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (if (<=.f64 a #s(literal -8315787937497185/10141204801825835211973625643008 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)))))
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b))))) #s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b))))) #s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))))
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) (.f64 b b)))))
#s(approx (log (+ (+ (exp a) (cosh b)) (sinh b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))

derivations484.0ms (5.5%)

Memory

44.5MiB live, 418.1MiB allocated; 130ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 755 to 131 computations (82.6% saved)

preprocess95.0ms (1.1%)

Memory: -23.7MiB live, 165.5MiB allocated; 31ms collecting garbage
Compiler: Compiled 1 846 to 454 computations (75.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze140.0ms (1.6%)

sample5.6s (64.1%)

explain148.0ms (1.7%)

preprocess186.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

series97.0ms (1.1%)

rewrite198.0ms (2.3%)

eval8.0ms (0.1%)

prune7.0ms (0.1%)

series292.0ms (3.3%)

rewrite161.0ms (1.8%)

eval37.0ms (0.4%)

prune13.0ms (0.1%)

series145.0ms (1.7%)

rewrite176.0ms (2%)

eval28.0ms (0.3%)

prune13.0ms (0.1%)

series170.0ms (1.9%)

rewrite195.0ms (2.2%)

eval34.0ms (0.4%)

prune31.0ms (0.4%)

regimes51.0ms (0.6%)

regimes45.0ms (0.5%)

regimes30.0ms (0.3%)

regimes15.0ms (0.2%)

regimes14.0ms (0.2%)

regimes22.0ms (0.3%)

regimes10.0ms (0.1%)

regimes25.0ms (0.3%)

regimes17.0ms (0.2%)

regimes14.0ms (0.2%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes39.0ms (0.5%)

bsearch30.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch45.0ms (0.5%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify52.0ms (0.6%)

derivations484.0ms (5.5%)

preprocess95.0ms (1.1%)

end0.0ms (0%)

Profiling