Metrics for symmetry log of sum of exp

analyze186.0ms (1.5%)

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 9 to 7 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-exp: 27.0ms (40.7% of total)

ival-add: 19.0ms (28.6% of total)

ival-log: 18.0ms (27.1% of total)

const: 1.0ms (1.5% of total)

backward-pass: 1.0ms (1.5% of total)

sample5.7s (44.7%)

Results

2.8s	8062×	5	exit
1.0s	1812×	2	valid
541.0ms	2153×	1	valid
362.0ms	4291×	0	valid

Precisions

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

ival-log: 979.0ms (32.8% of total)

ival-exp: 810.0ms (27.1% of total)

backward-pass: 723.0ms (24.2% of total)

ival-add: 459.0ms (15.4% of total)

const: 18.0ms (0.6% of total)

Bogosity

preprocess23.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

40×	`fma-define`
32×	`sum3-define`
24×	`sub-neg`
22×	`+-commutative`
16×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	24
1	37	24
2	55	24
3	64	24
4	93	24
5	112	24
6	131	24
7	155	24
8	162	24
0	6	3
1	8	3
2	9	3
0	9	3

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(log (+ (exp a) (exp b)))
(log (+ (exp (neg a)) (exp b)))
(log (+ (exp a) (exp (neg b))))
(neg (log (+ (exp (neg a)) (exp b))))
(neg (log (+ (exp a) (exp (neg b)))))
(log (+ (exp b) (exp a)))

Outputs
(log (+ (exp a) (exp b)))
(logaddexp a b)
(log (+ (exp (neg a)) (exp b)))
(logaddexp b (neg a))
(log (+ (exp a) (exp (neg b))))
(logaddexp a (neg b))
(neg (log (+ (exp (neg a)) (exp b))))
(neg (logaddexp b (neg a)))
(neg (log (+ (exp a) (exp (neg b)))))
(neg (logaddexp a (neg b)))
(log (+ (exp b) (exp a)))
(logaddexp a b)

Symmetry

(sort a b)

explain210.0ms (1.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
139	-	1	(-1.3268848812816975e+101 0.028123276970237723)	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
0	-	0	-	`(exp.f64 a)`
0	-	0	-	`(exp.f64 b)`
0	-	0	-	`b`
0	-	0	-	`a`
0	-	0	-	`(+.f64 (exp.f64 a) (exp.f64 b))`

Results

61.0ms	94×	2	valid
57.0ms	250×	0	valid
45.0ms	168×	1	valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-log: 42.0ms (52% of total)

ival-exp: 25.0ms (31% of total)

backward-pass: 8.0ms (9.9% of total)

ival-add: 5.0ms (6.2% of total)

const: 1.0ms (1.2% of total)

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.0%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(exp.f64 b)
✓	cost-diff	(exp.f64 a)
✓	cost-diff	(+.f64 (exp.f64 a) (exp.f64 b))
✓	cost-diff	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Rules

4×	`exp-lowering-exp.f32`
4×	`+-lowering-+.f64`
4×	`logaddexp-define`
4×	`+-lowering-+.f32`
4×	`exp-lowering-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	8	14
2	9	14
0	9	14

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize79.0ms (0.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	accuracy	50.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

28.0ms	47×	2	valid
26.0ms	84×	1	valid
16.0ms	125×	0	valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-log: 18.0ms (47.9% of total)

ival-exp: 12.0ms (31.9% of total)

backward-pass: 4.0ms (10.6% of total)

ival-add: 3.0ms (8% of total)

const: 0.0ms (0% of total)

series87.0ms (0.7%)

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (log (+ (exp a) (exp b)))>
#<alt (+ (exp a) (exp b))>
#<alt (exp a)>
#<alt (exp b)>

Outputs
#<alt (log (+ 1 (exp b)))>
#<alt (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))>
#<alt (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))>
#<alt (+ (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))))))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (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))))))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>

Calls

18 calls:

Time	Variable		Point	Expression
30.0ms	a	@	inf	(log (+ (exp a) (exp b)))
23.0ms	a	@	-inf	(log (+ (exp a) (exp b)))
17.0ms	b	@	inf	(log (+ (exp a) (exp b)))
15.0ms	b	@	-inf	(log (+ (exp a) (exp b)))
1.0ms	a	@	0	(log (+ (exp a) (exp b)))

rewrite50.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4×	`exp-lowering-exp.f32`
4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
4×	`exp-lowering-exp.f64`
4×	`logaddexp-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	8	12
2	9	12
0	9	12

Stop Event

1×	iter limit
1×	saturated

Counts

4 → 5

Calls

Call 1

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

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

simplify276.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

4588×	`+-lowering-+.f64`
4588×	`+-lowering-+.f32`
4452×	`-lowering-.f32`
4452×	`-lowering-.f64`
1764×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	480
1	291	446
2	963	442
3	3348	440
0	8044	440

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (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))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (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))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)

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

eval8.0ms (0.1%)

Compiler: Compiled 688 to 116 computations (83.1% saved)

prune9.0ms (0.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	69	8	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	9	78

Accuracy

100.0%

Counts

78 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
▶	98.8%	(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (.f64 b (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))))
	46.7%	(log1p.f64 (exp.f64 b))
▶	46.4%	(log1p.f64 (exp.f64 a))
	48.7%	(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
▶	48.5%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
	47.9%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	50.0%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶	46.7%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))

Compiler

Compiled 214 to 152 computations (29% saved)

simplify189.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(log1p.f64 (exp.f64 a))
✓	cost-diff	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
✓	cost-diff	128	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
✓	cost-diff	0	(exp.f64 b)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	cost-diff	128	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(log1p.f64 (exp.f64 a))
✓	cost-diff	0	(log1p.f64 (exp.f64 a))
✓	cost-diff	0	(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (.f64 b (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))))
✓	cost-diff	128	(.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
✓	cost-diff	6592	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 b (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))

Rules

2200×	`fma-define`
1458×	`fma-lowering-fma.f32`
1458×	`fma-lowering-fma.f64`
558×	`-lowering-.f32`
558×	`-lowering-.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	28	234
1	66	210
2	174	206
3	459	206
4	1318	204
5	2225	202
6	2803	199
7	2945	199
8	2958	199
0	2958	199

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (log (+ 1 (exp a))) (* b (+ (* (+ 1 (* b 1/2)) (/ 1 (+ 1 (exp a)))) (* b (/ -1/2 (pow (+ 1 (exp a)) 2))))))
(log (+ 1 (exp a)))
(exp a)
a
(* b (+ (* (+ 1 (* b 1/2)) (/ 1 (+ 1 (exp a)))) (* b (/ -1/2 (pow (+ 1 (exp a)) 2)))))
b
(+ (* (+ 1 (* b 1/2)) (/ 1 (+ 1 (exp a)))) (* b (/ -1/2 (pow (+ 1 (exp a)) 2))))
(* (+ 1 (* b 1/2)) (/ 1 (+ 1 (exp a))))
(+ 1 (* b 1/2))
1
(* b 1/2)
1/2
(/ 1 (+ 1 (exp a)))
(+ 1 (exp a))
(* b (/ -1/2 (pow (+ 1 (exp a)) 2)))
(/ -1/2 (pow (+ 1 (exp a)) 2))
-1/2
(pow (+ 1 (exp a)) 2)
2
(log (+ 1 (exp a)))
(exp a)
a
(log (+ 1 (exp b)))
(+ 1 (exp b))
1
(exp b)
b
(log (+ (exp a) (+ 1 (* b (+ 1 (* b 1/2))))))
(+ (exp a) (+ 1 (* b (+ 1 (* b 1/2)))))
(exp a)
a
(+ 1 (* b (+ 1 (* b 1/2))))
1
(* b (+ 1 (* b 1/2)))
b
(+ 1 (* b 1/2))
(* b 1/2)
1/2
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(log (+ 1 (exp a)))
(exp a)
a
(/ b (+ 1 (exp a)))
b
(+ 1 (exp a))
1

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

localize526.0ms (4.1%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
✓	accuracy	51.9%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	accuracy	98.4%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))
✓	accuracy	100.0%	(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (.f64 b (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 b (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))
✓	accuracy	100.0%	(.f64 b (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (.f64 b (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))

Results

260.0ms	137×	2	valid
63.0ms	117×	0	valid
2.0ms	2×	1	valid

Compiler

Compiled 247 to 29 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 205.0ms

ival-log: 57.0ms (27.9% of total)

compiled-spec: 34.0ms (16.6% of total)

backward-pass: 30.0ms (14.7% of total)

ival-add: 25.0ms (12.2% of total)

ival-pow: 19.0ms (9.3% of total)

ival-mult: 18.0ms (8.8% of total)

ival-div: 12.0ms (5.9% of total)

ival-exp: 7.0ms (3.4% of total)

const: 2.0ms (1% of total)

series217.0ms (1.7%)

Counts

16 → 288

Calls

Call 1

Inputs
#<alt (+ (* (+ 1 (* b 1/2)) (/ 1 (+ 1 (exp a)))) (* b (/ -1/2 (pow (+ 1 (exp a)) 2))))>
#<alt (* (+ 1 (* b 1/2)) (/ 1 (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* (+ 1 (* b 1/2)) (/ 1 (+ 1 (exp a)))) (* b (/ -1/2 (pow (+ 1 (exp a)) 2))))))>
#<alt (log (+ 1 (exp a)))>
#<alt (exp a)>
#<alt (log (+ 1 (exp b)))>
#<alt (+ 1 (exp b))>
#<alt (exp b)>
#<alt (log (+ (exp a) (+ 1 (* b (+ 1 (* b 1/2))))))>
#<alt (+ (exp a) (+ 1 (* b (+ 1 (* b 1/2)))))>
#<alt (+ 1 (* b (+ 1 (* b 1/2))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (* b (+ (* (+ 1 (* b 1/2)) (/ 1 (+ 1 (exp a)))) (* b (/ -1/2 (pow (+ 1 (exp a)) 2)))))>
#<alt (+ 1 (exp a))>
#<alt (* b (+ 1 (* b 1/2)))>

Outputs
#<alt (/ 1 (+ 1 (exp a)))>
#<alt (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))>
#<alt (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))>
#<alt (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))>
#<alt (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))>
#<alt (* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))>
#<alt (* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))>
#<alt (* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))>
#<alt (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))>
#<alt (+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))))>
#<alt (+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) 1/4)))))>
#<alt (+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* 1/2 (+ (* -1/4 b) (* 3/16 b))) (* a (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))))))) 1/4)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (/ 1 (+ 1 (exp a)))>
#<alt (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))>
#<alt (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))>
#<alt (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))>
#<alt (* 1/2 (/ b (+ 1 (exp a))))>
#<alt (* b (+ (/ 1 (* b (+ 1 (exp a)))) (* 1/2 (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (/ 1 (* b (+ 1 (exp a)))) (* 1/2 (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (/ 1 (* b (+ 1 (exp a)))) (* 1/2 (/ 1 (+ 1 (exp a))))))>
#<alt (* 1/2 (/ b (+ 1 (exp a))))>
#<alt (* b (+ (/ 1 (* b (+ 1 (exp a)))) (* 1/2 (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (/ 1 (* b (+ 1 (exp a)))) (* 1/2 (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (/ 1 (* b (+ 1 (exp a)))) (* 1/2 (/ 1 (+ 1 (exp a))))))>
#<alt (* 1/2 (+ 1 (* 1/2 b)))>
#<alt (+ (* -1/4 (* a (+ 1 (* 1/2 b)))) (* 1/2 (+ 1 (* 1/2 b))))>
#<alt (+ (* 1/2 (+ 1 (* 1/2 b))) (* a (- (* -1 (* a (+ (* -1/8 (+ 1 (* 1/2 b))) (* 1/8 (+ 1 (* 1/2 b)))))) (* 1/4 (+ 1 (* 1/2 b))))))>
#<alt (+ (* 1/2 (+ 1 (* 1/2 b))) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 (+ 1 (* 1/2 b))) (* 1/8 (+ 1 (* 1/2 b))))) (+ (* -1/16 (+ 1 (* 1/2 b))) (* 1/24 (+ 1 (* 1/2 b))))))) (+ (* -1/8 (+ 1 (* 1/2 b))) (* 1/8 (+ 1 (* 1/2 b)))))) (* 1/4 (+ 1 (* 1/2 b))))))>
#<alt (/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))>
#<alt (/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))>
#<alt (/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))>
#<alt (/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))>
#<alt (/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))>
#<alt (/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))>
#<alt (/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))>
#<alt (/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))>
#<alt (+ (log 2) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))>
#<alt (+ (log 2) (+ (* a (+ 1/2 (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))>
#<alt (+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))>
#<alt (+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<alt (* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))>
#<alt (* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))>
#<alt (* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b))))>
#<alt (* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (+ (log 2) (* a (+ 1/2 (* 1/8 a))))>
#<alt (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (* b (+ 1/2 (* 1/8 b))))>
#<alt (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (log (+ 2 (* b (+ 1 (* 1/2 b)))))>
#<alt (+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (/ a (+ 2 (* b (+ 1 (* 1/2 b))))))>
#<alt (+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))))>
#<alt (+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))) (* 3 (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)))))) (* 1/2 (- (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)))))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (* 2 (/ 1 b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp a))) 4) (pow b 2))) (* 2 (/ 1 b)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/6 (/ (+ 16 (* -24 (+ 1 (exp a)))) (pow b 3))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp a))) 4) (pow b 2))) (* 2 (/ 1 b))))))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* 2 (/ 1 b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1/2 (/ (- (* 4 (+ 1 (exp a))) 4) b)) 2) b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- (* 24 (+ 1 (exp a))) 16) b)) (* 1/2 (- (* 4 (+ 1 (exp a))) 4))) b)) 2) b))))>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2))))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2))))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))>
#<alt (* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))>
#<alt (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))>
#<alt (+ (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)))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))>
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))>
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))>
#<alt (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))>
#<alt (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (* 1/2 b)>
#<alt (+ (* -1/4 (* a b)) (* 1/2 b))>
#<alt (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))>
#<alt (+ (* 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))))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))>
#<alt (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))>
#<alt (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))>
#<alt (* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))>
#<alt (* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))>
#<alt (* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))>
#<alt (* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))>
#<alt (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))>
#<alt (+ (* a (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))>
#<alt (+ (* a (+ (* a (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))>
#<alt (+ (* a (+ (* a (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))>
#<alt (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))>
#<alt 2>
#<alt (+ 2 a)>
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt b>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>

Calls

72 calls:

Time	Variable		Point	Expression
71.0ms	a	@	inf	(log (+ (exp a) (+ 1 (* b (+ 1 (* b 1/2))))))
30.0ms	b	@	-inf	(log (+ 1 (exp b)))
18.0ms	a	@	-inf	(+ (log (+ 1 (exp a))) (* b (+ (* (+ 1 (* b 1/2)) (/ 1 (+ 1 (exp a)))) (* b (/ -1/2 (pow (+ 1 (exp a)) 2))))))
17.0ms	b	@	inf	(+ (* (+ 1 (* b 1/2)) (/ 1 (+ 1 (exp a)))) (* b (/ -1/2 (pow (+ 1 (exp a)) 2))))
17.0ms	a	@	-inf	(log (+ (exp a) (+ 1 (* b (+ 1 (* b 1/2))))))

rewrite221.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2286×	`-lowering-.f32`
2286×	`-lowering-.f64`
1770×	`+-lowering-+.f64`
1770×	`+-lowering-+.f32`
1730×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	156
1	89	138
2	328	134
3	1631	134
0	8222	134

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 574

Calls

Call 1

Inputs
(+ (* (+ 1 (* b 1/2)) (/ 1 (+ 1 (exp a)))) (* b (/ -1/2 (pow (+ 1 (exp a)) 2))))
(* (+ 1 (* b 1/2)) (/ 1 (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* (+ 1 (* b 1/2)) (/ 1 (+ 1 (exp a)))) (* b (/ -1/2 (pow (+ 1 (exp a)) 2))))))
(log (+ 1 (exp a)))
(exp a)
(log (+ 1 (exp b)))
(+ 1 (exp b))
(exp b)
(log (+ (exp a) (+ 1 (* b (+ 1 (* b 1/2))))))
(+ (exp a) (+ 1 (* b (+ 1 (* b 1/2)))))
(+ 1 (* b (+ 1 (* b 1/2))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(* b (+ (* (+ 1 (* b 1/2)) (/ 1 (+ 1 (exp a)))) (* b (/ -1/2 (pow (+ 1 (exp a)) 2)))))
(+ 1 (exp a))
(* b (+ 1 (* b 1/2)))

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

simplify223.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

3138×	`+-lowering-+.f64`
3138×	`+-lowering-+.f32`
2552×	`-lowering-.f32`
2552×	`-lowering-.f64`
1614×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	407	3826
1	1439	3344
2	6237	3274
0	8508	3274

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(/ 1 (+ 1 (exp a)))
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))
(* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))
(+ 1/2 (+ (* -1/8 b) (* 1/4 b)))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) 1/4)))))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* 1/2 (+ (* -1/4 b) (* 3/16 b))) (* a (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))))))) 1/4)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(/ 1 (+ 1 (exp a)))
(+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))
(+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))
(+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))
(* 1/2 (/ b (+ 1 (exp a))))
(* b (+ (/ 1 (* b (+ 1 (exp a)))) (* 1/2 (/ 1 (+ 1 (exp a))))))
(* b (+ (/ 1 (* b (+ 1 (exp a)))) (* 1/2 (/ 1 (+ 1 (exp a))))))
(* b (+ (/ 1 (* b (+ 1 (exp a)))) (* 1/2 (/ 1 (+ 1 (exp a))))))
(* 1/2 (/ b (+ 1 (exp a))))
(* b (+ (/ 1 (* b (+ 1 (exp a)))) (* 1/2 (/ 1 (+ 1 (exp a))))))
(* b (+ (/ 1 (* b (+ 1 (exp a)))) (* 1/2 (/ 1 (+ 1 (exp a))))))
(* b (+ (/ 1 (* b (+ 1 (exp a)))) (* 1/2 (/ 1 (+ 1 (exp a))))))
(* 1/2 (+ 1 (* 1/2 b)))
(+ (* -1/4 (* a (+ 1 (* 1/2 b)))) (* 1/2 (+ 1 (* 1/2 b))))
(+ (* 1/2 (+ 1 (* 1/2 b))) (* a (- (* -1 (* a (+ (* -1/8 (+ 1 (* 1/2 b))) (* 1/8 (+ 1 (* 1/2 b)))))) (* 1/4 (+ 1 (* 1/2 b))))))
(+ (* 1/2 (+ 1 (* 1/2 b))) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 (+ 1 (* 1/2 b))) (* 1/8 (+ 1 (* 1/2 b))))) (+ (* -1/16 (+ 1 (* 1/2 b))) (* 1/24 (+ 1 (* 1/2 b))))))) (+ (* -1/8 (+ 1 (* 1/2 b))) (* 1/8 (+ 1 (* 1/2 b)))))) (* 1/4 (+ 1 (* 1/2 b))))))
(/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))
(/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))
(/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))
(/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))
(/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))
(/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))
(/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))
(/ (+ 1 (* 1/2 b)) (+ 1 (exp a)))
(+ (log 2) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))
(+ (log 2) (+ (* a (+ 1/2 (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(log 2)
(+ (log 2) (* 1/2 b))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(log (+ 2 (* b (+ 1 (* 1/2 b)))))
(+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (/ a (+ 2 (* b (+ 1 (* 1/2 b))))))
(+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))))
(+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))) (* 3 (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)))))) (* 1/2 (- (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)))))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(+ (log 1/2) (* -2 (log (/ 1 b))))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (* 2 (/ 1 b))))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp a))) 4) (pow b 2))) (* 2 (/ 1 b)))))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/6 (/ (+ 16 (* -24 (+ 1 (exp a)))) (pow b 3))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp a))) 4) (pow b 2))) (* 2 (/ 1 b))))))
(+ (log 1/2) (* -2 (log (/ -1 b))))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* 2 (/ 1 b))))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1/2 (/ (- (* 4 (+ 1 (exp a))) 4) b)) 2) b))))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- (* 24 (+ 1 (exp a))) 16) b)) (* 1/2 (- (* 4 (+ 1 (exp a))) 4))) b)) 2) b))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2))))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2))))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* 1/2 b))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))
(+ (log 2) (* 1/2 b))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+ (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)))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(/ b (+ 1 (exp a)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(* 1/2 b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(+ (* 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))))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))
(* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))
(* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))
(* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))
(* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))
(+ (* a (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))
(+ (* a (+ (* a (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))
(+ (* a (+ (* a (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
b
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* 1/2 b)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))

Outputs
(/ 1 (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 b (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 b (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 b (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(*.f64 b (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (.f64 b #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) b))
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (.f64 b #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) b))
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (.f64 b #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) b))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(*.f64 b (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))) (-.f64 #s(literal 0 binary64) b))
(+ 1/2 (+ (* -1/8 b) (* 1/4 b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/8 binary64)))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))))
(+.f64 (.f64 b #s(literal 1/8 binary64)) (+.f64 (.f64 a #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) 1/4)))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 b #s(literal 1/8 binary64)) (.f64 a (+.f64 #s(literal -1/4 binary64) (.f64 a (.f64 b #s(literal -1/32 binary64)))))))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* 1/2 (+ (* -1/4 b) (* 3/16 b))) (* a (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))))))) 1/4)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))) (.f64 a (+.f64 #s(literal -1/4 binary64) (.f64 a (+.f64 (.f64 b #s(literal -1/32 binary64)) (.f64 a (+.f64 (-.f64 (.f64 b #s(literal -1/24 binary64)) (.f64 b #s(literal -1/32 binary64))) (+.f64 #s(literal 1/48 binary64) (.f64 b #s(literal 1/96 binary64))))))))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (.f64 b #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (.f64 b #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
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(log (+ 1 (exp b)))
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(log (+ 1 (exp b)))
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(log (+ 1 (exp b)))
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(log (+ 1 (exp b)))
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2
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1
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(log (+ 2 (* b (+ 1 (* 1/2 b)))))
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(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
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(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
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(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
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(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
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(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
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(* (pow b 2) (+ 1/2 (/ 1 b)))
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1
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(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (log1p.f64 (exp.f64 a)) b)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (log1p.f64 (exp.f64 a)) b)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (log1p.f64 (exp.f64 a)) b)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (log1p.f64 (exp.f64 a)) b)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (log1p.f64 (exp.f64 a)) b)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (log1p.f64 (exp.f64 a)) b)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(+ (* -1/4 (* a b)) (* 1/2 b))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 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))))
(+.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 a (+.f64 (.f64 b #s(literal -1/4 binary64)) (.f64 a (-.f64 #s(literal 0 binary64) (.f64 (.f64 a b) #s(literal -1/48 binary64)))))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))
(.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))))
(* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))
(.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))))
(* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))
(.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))))
(* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(.f64 (.f64 b b) (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))))
(* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(.f64 (.f64 b b) (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))
(.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))
(.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))
(.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))))
(* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(+ (* a (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))
(+.f64 (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))) (.f64 a (.f64 b #s(literal -1/4 binary64))))
(+ (* a (+ (* a (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))
(+.f64 (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))) (.f64 a (+.f64 (.f64 b #s(literal -1/4 binary64)) (.f64 a (.f64 b (*.f64 b #s(literal -1/32 binary64)))))))
(+ (* a (+ (* a (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))
(+.f64 (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))) (.f64 a (+.f64 (.f64 b #s(literal -1/4 binary64)) (.f64 a (+.f64 (.f64 b (.f64 a (+.f64 (-.f64 (.f64 b #s(literal -1/24 binary64)) (.f64 b #s(literal -1/32 binary64))) (+.f64 #s(literal 1/48 binary64) (.f64 b #s(literal 1/96 binary64)))))) (.f64 b (.f64 b #s(literal -1/32 binary64))))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 a #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 2 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 2 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
b
(* b (+ 1 (* 1/2 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
(* b (+ 1 (* 1/2 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
(* b (+ 1 (* 1/2 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
(* 1/2 (pow b 2))
(.f64 b (.f64 b #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
(* 1/2 (pow b 2))
(.f64 b (.f64 b #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))

eval138.0ms (1.1%)

Compiler: Compiled 25805 to 2597 computations (89.9% saved)

prune111.0ms (0.9%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	1091	13	1104
Fresh	2	1	3
Picked	4	1	5
Done	1	0	1
Total	1098	15	1113

Accuracy

100.0%

Counts

1113 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.4%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
	45.4%	(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	54.5%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b #s(literal 2 binary64)))
▶	45.4%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))))
	45.6%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
	44.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal -1/192 binary64) a) a))))))
▶	44.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
▶	43.8%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
▶	96.4%	(log1p.f64 (+.f64 (exp.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
	42.4%	(log1p.f64 (+.f64 #s(literal 1 binary64) a))
	46.7%	(log1p.f64 (exp.f64 b))
✓	46.4%	(log1p.f64 (exp.f64 a))
▶	44.6%	(log1p.f64 #s(literal 1 binary64))
	45.1%	(log.f64 (+.f64 b #s(literal 2 binary64)))
	25.8%	(log.f64 (.f64 (.f64 b b) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) b))))

Compiler

Compiled 297 to 238 computations (19.9% saved)

simplify36.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 b b) #s(literal -1/192 binary64)))))
✓	cost-diff	(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64))))))
✓	cost-diff	(log.f64 #s(literal 2 binary64))
✓	cost-diff	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))))
✓	cost-diff	(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))
✓	cost-diff	(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
✓	cost-diff	(log.f64 #s(literal 2 binary64))
✓	cost-diff	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
✓	cost-diff	(*.f64 a #s(literal 1/2 binary64))
✓	cost-diff	(log.f64 #s(literal 2 binary64))
✓	cost-diff	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
✓	cost-diff	(log1p.f64 #s(literal 1 binary64))
✓	cost-diff	(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
✓	cost-diff	(exp.f64 a)
✓	cost-diff	(+.f64 (exp.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))
✓	cost-diff	(log1p.f64 (+.f64 (exp.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))

Rules

832×	`fma-define`
688×	`fma-lowering-fma.f32`
688×	`fma-lowering-fma.f64`
284×	`sum3-define`
260×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	154
1	76	134
2	207	133
3	443	133
4	785	133
5	1016	133
6	1062	133
0	1062	133

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(log (+ 1 (+ (exp a) (* b (+ 1 (* b 1/2))))))
(+ (exp a) (* b (+ 1 (* b 1/2))))
(exp a)
a
(* b (+ 1 (* b 1/2)))
b
(+ 1 (* b 1/2))
1
(* b 1/2)
1/2
(log (+ 1 1))
1
(+ (log 2) (* a 1/2))
(log 2)
2
(* a 1/2)
a
1/2
(+ (log 2) (* a (+ 1/2 (* a 1/8))))
(log 2)
2
(* a (+ 1/2 (* a 1/8)))
a
(+ 1/2 (* a 1/8))
1/2
(* a 1/8)
1/8
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* (* b b) -1/192))))))
(log 2)
2
(* b (+ 1/2 (* b (+ 1/8 (* (* b b) -1/192)))))
b
(+ 1/2 (* b (+ 1/8 (* (* b b) -1/192))))
1/2
(* b (+ 1/8 (* (* b b) -1/192)))
(+ 1/8 (* (* b b) -1/192))
1/8
(* (* b b) -1/192)
(* b b)
-1/192

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

localize345.0ms (2.7%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))))
✓	accuracy	100.0%	(.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 b b) #s(literal -1/192 binary64))))
✓	accuracy	99.9%	(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64))))))
✓	accuracy	99.7%	(.f64 (.f64 b b) #s(literal -1/192 binary64))
✓	accuracy	100.0%	(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
✓	accuracy	100.0%	(*.f64 a #s(literal 1/8 binary64))
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
✓	accuracy	100.0%	(*.f64 a #s(literal 1/2 binary64))
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(log1p.f64 #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 b #s(literal 1/2 binary64))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(log1p.f64 (+.f64 (exp.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))

Results

220.0ms	126×	3	valid
64.0ms	125×	0	valid
10.0ms	5×	5	exit

Compiler

Compiled 164 to 29 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 170.0ms

backward-pass: 41.0ms (24.2% of total)

compiled-spec: 36.0ms (21.2% of total)

ival-add: 27.0ms (15.9% of total)

ival-mult: 26.0ms (15.3% of total)

ival-log: 26.0ms (15.3% of total)

...c/correct-round.rkt:119:19: 7.0ms (4.1% of total)

ival-exp: 5.0ms (2.9% of total)

const: 2.0ms (1.2% of total)

series12.0ms (0.1%)

Counts

18 → 216

Calls

Call 1

Inputs
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b 1/2))))))>
#<alt (+ (exp a) (* b (+ 1 (* b 1/2))))>
#<alt (exp a)>
#<alt (* b (+ 1 (* b 1/2)))>
#<alt (log (+ 1 1))>
#<alt (+ (log 2) (* a 1/2))>
#<alt (log 2)>
#<alt (* a 1/2)>
#<alt (+ (log 2) (* a (+ 1/2 (* a 1/8))))>
#<alt (* a (+ 1/2 (* a 1/8)))>
#<alt (+ 1/2 (* a 1/8))>
#<alt (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* (* b b) -1/192))))))>
#<alt (* b (+ 1/2 (* b (+ 1/8 (* (* b b) -1/192)))))>
#<alt (+ 1/2 (* b (+ 1/8 (* (* b b) -1/192))))>
#<alt (* b 1/2)>
#<alt (* a 1/8)>
#<alt (* (* b b) -1/192)>
#<alt (* b (+ 1/8 (* (* b b) -1/192)))>

Outputs
#<alt (log (+ 2 (* b (+ 1 (* 1/2 b)))))>
#<alt (+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (/ a (+ 2 (* b (+ 1 (* 1/2 b))))))>
#<alt (+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))))>
#<alt (+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))) (* 3 (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)))))) (* 1/2 (- (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)))))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (* 2 (/ 1 b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp a))) 4) (pow b 2))) (* 2 (/ 1 b)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/6 (/ (+ 16 (* -24 (+ 1 (exp a)))) (pow b 3))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp a))) 4) (pow b 2))) (* 2 (/ 1 b))))))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* 2 (/ 1 b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1/2 (/ (- (* 4 (+ 1 (exp a))) 4) b)) 2) b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- (* 24 (+ 1 (exp a))) 16) b)) (* 1/2 (- (* 4 (+ 1 (exp a))) 4))) b)) 2) b))))>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (+ a (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ (exp a) (* b (+ 1 (* 1/2 b))))>
#<alt (+ (exp a) (* b (+ 1 (* 1/2 b))))>
#<alt (+ (exp a) (* b (+ 1 (* 1/2 b))))>
#<alt (+ (exp a) (* b (+ 1 (* 1/2 b))))>
#<alt (+ (exp a) (* b (+ 1 (* 1/2 b))))>
#<alt (+ (exp a) (* b (+ 1 (* 1/2 b))))>
#<alt (+ (exp a) (* b (+ 1 (* 1/2 b))))>
#<alt (+ (exp a) (* b (+ 1 (* 1/2 b))))>
#<alt (exp a)>
#<alt (+ b (exp a))>
#<alt (+ (exp a) (* b (+ 1 (* 1/2 b))))>
#<alt (+ (exp a) (* b (+ 1 (* 1/2 b))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ (exp a) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ (exp a) (pow b 2)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (exp a) b)) 1) b))))>
#<alt (* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (exp a) b)) 1) b))))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt b>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (/ (log 2) a)))>
#<alt (* a (+ 1/2 (/ (log 2) a)))>
#<alt (* a (+ 1/2 (/ (log 2) a)))>
#<alt (* 1/2 a)>
#<alt (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))>
#<alt (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))>
#<alt (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (+ (log 2) (* a (+ 1/2 (* 1/8 a))))>
#<alt (+ (log 2) (* a (+ 1/2 (* 1/8 a))))>
#<alt (* 1/8 (pow a 2))>
#<alt (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2)))))>
#<alt (* 1/8 (pow a 2))>
#<alt (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))>
#<alt (* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (* 1/8 a)))>
#<alt (* a (+ 1/2 (* 1/8 a)))>
#<alt (* a (+ 1/2 (* 1/8 a)))>
#<alt (* 1/8 (pow a 2))>
#<alt (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt (* 1/8 (pow a 2))>
#<alt (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 a))>
#<alt (+ 1/2 (* 1/8 a))>
#<alt (+ 1/2 (* 1/8 a))>
#<alt (* 1/8 a)>
#<alt (* a (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt (* 1/8 a)>
#<alt (* a (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/8 (* 1/2 (/ 1 a))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (* b (+ 1/2 (* 1/8 b))))>
#<alt (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))>
#<alt (* -1/192 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))>
#<alt (* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (+ (* 1/8 (/ 1 (pow b 2))) (/ (log 2) (pow b 4)))) 1/192))>
#<alt (* -1/192 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))>
#<alt (* (pow b 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) (pow b 3))) (* 1/8 (/ 1 (pow b 2)))) 1/192))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (* 1/8 b)))>
#<alt (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))>
#<alt (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))>
#<alt (* -1/192 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))>
#<alt (* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))>
#<alt (* -1/192 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))>
#<alt (* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 b))>
#<alt (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))>
#<alt (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))>
#<alt (* -1/192 (pow b 3))>
#<alt (* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))>
#<alt (* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))>
#<alt (* -1/192 (pow b 3))>
#<alt (* -1 (* (pow b 3) (- 1/192 (* 1/8 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2))))))>
#<alt (* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2))))))>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/8 a)>
#<alt (* 1/8 a)>
#<alt (* 1/8 a)>
#<alt (* 1/8 a)>
#<alt (* 1/8 a)>
#<alt (* 1/8 a)>
#<alt (* 1/8 a)>
#<alt (* 1/8 a)>
#<alt (* 1/8 a)>
#<alt (* 1/8 a)>
#<alt (* 1/8 a)>
#<alt (* 1/8 a)>
#<alt (* -1/192 (pow b 2))>
#<alt (* -1/192 (pow b 2))>
#<alt (* -1/192 (pow b 2))>
#<alt (* -1/192 (pow b 2))>
#<alt (* -1/192 (pow b 2))>
#<alt (* -1/192 (pow b 2))>
#<alt (* -1/192 (pow b 2))>
#<alt (* -1/192 (pow b 2))>
#<alt (* -1/192 (pow b 2))>
#<alt (* -1/192 (pow b 2))>
#<alt (* -1/192 (pow b 2))>
#<alt (* -1/192 (pow b 2))>
#<alt (* 1/8 b)>
#<alt (* b (+ 1/8 (* -1/192 (pow b 2))))>
#<alt (* b (+ 1/8 (* -1/192 (pow b 2))))>
#<alt (* b (+ 1/8 (* -1/192 (pow b 2))))>
#<alt (* -1/192 (pow b 3))>
#<alt (* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (* -1/192 (pow b 3))>
#<alt (* -1 (* (pow b 3) (- 1/192 (* 1/8 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 3) (- 1/192 (* 1/8 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 3) (- 1/192 (* 1/8 (/ 1 (pow b 2))))))>

Calls

54 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(+ (log 2) (* a 1/2))
0.0ms	b	@	-inf	(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* (* b b) -1/192))))))
0.0ms	b	@	inf	(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* (* b b) -1/192))))))
0.0ms	b	@	-inf	(* b (+ 1/2 (* b (+ 1/8 (* (* b b) -1/192)))))
0.0ms	a	@	-inf	(+ (log 2) (* a (+ 1/2 (* a 1/8))))

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`fma-define`
716×	`fma-lowering-fma.f32`
716×	`fma-lowering-fma.f64`
344×	`sum3-define`
290×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	120
1	77	102
2	207	101
3	451	101
4	810	101
5	1089	101
6	1238	101
7	1329	101
8	1339	101
0	1339	101

Stop Event

1×	iter limit
1×	saturated

Counts

18 → 225

Calls

Call 1

Inputs
(log (+ 1 (+ (exp a) (* b (+ 1 (* b 1/2))))))
(+ (exp a) (* b (+ 1 (* b 1/2))))
(exp a)
(* b (+ 1 (* b 1/2)))
(log (+ 1 1))
(+ (log 2) (* a 1/2))
(log 2)
(* a 1/2)
(+ (log 2) (* a (+ 1/2 (* a 1/8))))
(* a (+ 1/2 (* a 1/8)))
(+ 1/2 (* a 1/8))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* (* b b) -1/192))))))
(* b (+ 1/2 (* b (+ 1/8 (* (* b b) -1/192)))))
(+ 1/2 (* b (+ 1/8 (* (* b b) -1/192))))
(* b 1/2)
(* a 1/8)
(* (* b b) -1/192)
(* b (+ 1/8 (* (* b b) -1/192)))

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

simplify251.0ms (2%)

Algorithm

1×	egg-herbie

Rules

4598×	`-lowering-.f32`
4598×	`-lowering-.f64`
2628×	`+-lowering-+.f64`
2628×	`+-lowering-+.f32`
1732×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	236	1920
1	740	1676
2	2447	1606
0	8219	1606

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(log (+ 2 (* b (+ 1 (* 1/2 b)))))
(+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (/ a (+ 2 (* b (+ 1 (* 1/2 b))))))
(+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))))
(+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))) (* 3 (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)))))) (* 1/2 (- (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)))))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(+ (log 1/2) (* -2 (log (/ 1 b))))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (* 2 (/ 1 b))))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp a))) 4) (pow b 2))) (* 2 (/ 1 b)))))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/6 (/ (+ 16 (* -24 (+ 1 (exp a)))) (pow b 3))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp a))) 4) (pow b 2))) (* 2 (/ 1 b))))))
(+ (log 1/2) (* -2 (log (/ -1 b))))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* 2 (/ 1 b))))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1/2 (/ (- (* 4 (+ 1 (exp a))) 4) b)) 2) b))))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- (* 24 (+ 1 (exp a))) 16) b)) (* 1/2 (- (* 4 (+ 1 (exp a))) 4))) b)) 2) b))))
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(exp a)
(+ b (exp a))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ (exp a) (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ (exp a) (pow b 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (exp a) b)) 1) b))))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (exp a) b)) 1) b))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
b
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* 1/2 b)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* 1/2 a))
(+ (log 2) (* 1/2 a))
(* 1/2 a)
(* a (+ 1/2 (/ (log 2) a)))
(* a (+ 1/2 (/ (log 2) a)))
(* a (+ 1/2 (/ (log 2) a)))
(* 1/2 a)
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(* 1/8 (pow a 2))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2)))))
(* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2)))))
(* 1/8 (pow a 2))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))
(* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))
(* 1/2 a)
(* a (+ 1/2 (* 1/8 a)))
(* a (+ 1/2 (* 1/8 a)))
(* a (+ 1/2 (* 1/8 a)))
(* 1/8 (pow a 2))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(* 1/8 (pow a 2))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
1/2
(+ 1/2 (* 1/8 a))
(+ 1/2 (* 1/8 a))
(+ 1/2 (* 1/8 a))
(* 1/8 a)
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(* 1/8 a)
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(log 2)
(+ (log 2) (* 1/2 b))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(* -1/192 (pow b 4))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (+ (* 1/8 (/ 1 (pow b 2))) (/ (log 2) (pow b 4)))) 1/192))
(* -1/192 (pow b 4))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(* (pow b 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) (pow b 3))) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(* 1/2 b)
(* b (+ 1/2 (* 1/8 b)))
(* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))
(* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))
(* -1/192 (pow b 4))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(* -1/192 (pow b 4))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
1/2
(+ 1/2 (* 1/8 b))
(+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))
(+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))
(* -1/192 (pow b 3))
(* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(* -1/192 (pow b 3))
(* -1 (* (pow b 3) (- 1/192 (* 1/8 (/ 1 (pow b 2))))))
(* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2))))))
(* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2))))))
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/8 a)
(* 1/8 a)
(* 1/8 a)
(* 1/8 a)
(* 1/8 a)
(* 1/8 a)
(* 1/8 a)
(* 1/8 a)
(* 1/8 a)
(* 1/8 a)
(* 1/8 a)
(* 1/8 a)
(* -1/192 (pow b 2))
(* -1/192 (pow b 2))
(* -1/192 (pow b 2))
(* -1/192 (pow b 2))
(* -1/192 (pow b 2))
(* -1/192 (pow b 2))
(* -1/192 (pow b 2))
(* -1/192 (pow b 2))
(* -1/192 (pow b 2))
(* -1/192 (pow b 2))
(* -1/192 (pow b 2))
(* -1/192 (pow b 2))
(* 1/8 b)
(* b (+ 1/8 (* -1/192 (pow b 2))))
(* b (+ 1/8 (* -1/192 (pow b 2))))
(* b (+ 1/8 (* -1/192 (pow b 2))))
(* -1/192 (pow b 3))
(* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(* -1/192 (pow b 3))
(* -1 (* (pow b 3) (- 1/192 (* 1/8 (/ 1 (pow b 2))))))
(* -1 (* (pow b 3) (- 1/192 (* 1/8 (/ 1 (pow b 2))))))
(* -1 (* (pow b 3) (- 1/192 (* 1/8 (/ 1 (pow b 2))))))

Outputs
(log (+ 2 (* b (+ 1 (* 1/2 b)))))
(log.f64 (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
(+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (/ a (+ 2 (* b (+ 1 (* 1/2 b))))))
(+.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))) (/.f64 a (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
(+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))))
(+.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))) (.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))) (.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))) (/.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))))))
(+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))) (* 3 (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)))))) (* 1/2 (- (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)))))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))))
(+.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))) (.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))) (.f64 a (+.f64 (.f64 a (.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))) (/.f64 #s(literal 3 binary64) (.f64 (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))) (/.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log1p.f64 (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (exp.f64 a)))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log1p.f64 (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (exp.f64 a)))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log1p.f64 (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (exp.f64 a)))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log1p.f64 (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (exp.f64 a)))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log1p.f64 (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (exp.f64 a)))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log1p.f64 (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (exp.f64 a)))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log1p.f64 (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (exp.f64 a)))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log1p.f64 (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (exp.f64 a)))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b (+.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (.f64 b #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))))))
(+ (log 1/2) (* -2 (log (/ 1 b))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 b)))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (* 2 (/ 1 b))))
(+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 b))) (/.f64 #s(literal 2 binary64) b))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp a))) 4) (pow b 2))) (* 2 (/ 1 b)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (log.f64 b)) (+.f64 (/.f64 #s(literal 2 binary64) b) (.f64 (+.f64 #s(literal 0 binary64) (.f64 (exp.f64 a) #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 b b))))))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/6 (/ (+ 16 (* -24 (+ 1 (exp a)))) (pow b 3))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp a))) 4) (pow b 2))) (* 2 (/ 1 b))))))
(+.f64 (+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (log.f64 b))) (/.f64 #s(literal 2 binary64) b)) (+.f64 (.f64 (+.f64 #s(literal 0 binary64) (.f64 (exp.f64 a) #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 b b))) (/.f64 (.f64 (+.f64 (.f64 (exp.f64 a) #s(literal -24 binary64)) #s(literal -8 binary64)) (/.f64 #s(literal 1/6 binary64) b)) (*.f64 b b))))
(+ (log 1/2) (* -2 (log (/ -1 b))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b))))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* 2 (/ 1 b))))
(+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1/2 (/ (- (* 4 (+ 1 (exp a))) 4) b)) 2) b))))
(+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)))) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 0 binary64) (*.f64 (exp.f64 a) #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) b))) b))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- (* 24 (+ 1 (exp a))) 16) b)) (* 1/2 (- (* 4 (+ 1 (exp a))) 4))) b)) 2) b))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (.f64 (+.f64 #s(literal 0 binary64) (.f64 (exp.f64 a) #s(literal 4 binary64))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (*.f64 (exp.f64 a) #s(literal 24 binary64)) #s(literal 8 binary64)) b))) b)) b))
(+ 1 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))
(+ 1 (+ a (* b (+ 1 (* 1/2 b)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) a))
(+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))
(+ 1 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (exp.f64 a))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (exp.f64 a))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (exp.f64 a))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (exp.f64 a))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (exp.f64 a))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (exp.f64 a))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (exp.f64 a))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (exp.f64 a))
(exp a)
(exp.f64 a)
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (exp.f64 a))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (exp.f64 a))
(* 1/2 (pow b 2))
(.f64 b (.f64 b #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ (exp a) (pow b 2)))))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 a) (*.f64 b b))))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ (exp a) (pow b 2)))))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 a) (*.f64 b b))))))
(* 1/2 (pow b 2))
(.f64 b (.f64 b #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (exp a) b)) 1) b))))
(.f64 b (.f64 b (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (exp.f64 a) b)) b))))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (exp a) b)) 1) b))))
(.f64 b (.f64 b (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (exp.f64 a) b)) b))))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
b
(* b (+ 1 (* 1/2 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
(* b (+ 1 (* 1/2 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
(* b (+ 1 (* 1/2 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
(* 1/2 (pow b 2))
(.f64 b (.f64 b #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
(* 1/2 (pow b 2))
(.f64 b (.f64 b #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(+.f64 (*.f64 #s(literal 1/2 binary64) a) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* 1/2 a))
(+.f64 (*.f64 #s(literal 1/2 binary64) a) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* 1/2 a))
(+.f64 (*.f64 #s(literal 1/2 binary64) a) (log.f64 #s(literal 2 binary64)))
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* a (+ 1/2 (/ (log 2) a)))
(+.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
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(* a (+ 1/2 (/ (log 2) a)))
(+.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
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(+.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(+.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
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(+.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* 1/2 a)
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(*.f64 #s(literal 1/2 binary64) a)
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(+.f64 (*.f64 #s(literal 1/2 binary64) a) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
(* 1/8 (pow a 2))
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
(* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2)))))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a a))))))
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(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a a))))))
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(.f64 a (.f64 a #s(literal 1/8 binary64)))
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(+.f64 (.f64 a (.f64 a #s(literal 1/8 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64))))
(* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))
(+.f64 (.f64 a (.f64 a #s(literal 1/8 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64))))
(* 1/2 a)
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(* a (+ 1/2 (* 1/8 a)))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
(* a (+ 1/2 (* 1/8 a)))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
(* a (+ 1/2 (* 1/8 a)))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
(* 1/8 (pow a 2))
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
(* 1/8 (pow a 2))
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))
(+ 1/2 (* 1/8 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))
(+ 1/2 (* 1/8 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 b))
(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b #s(literal -1/192 binary64))))))))
(* -1/192 (pow b 4))
(.f64 #s(literal -1/192 binary64) (.f64 b (.f64 b (.f64 b b))))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b)))))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (+ (* 1/8 (/ 1 (pow b 2))) (/ (log 2) (pow b 4)))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 b b))) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (.f64 b (.f64 b b)))))))
(* -1/192 (pow b 4))
(.f64 #s(literal -1/192 binary64) (.f64 b (.f64 b (.f64 b b))))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b)))))
(* (pow b 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) (pow b 3))) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) (.f64 b (*.f64 b b)))))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* b (+ 1/2 (* 1/8 b)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b #s(literal -1/192 binary64)))))))
(* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b #s(literal -1/192 binary64)))))))
(* -1/192 (pow b 4))
(.f64 #s(literal -1/192 binary64) (.f64 b (.f64 b (.f64 b b))))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b)))))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b)))))
(* -1/192 (pow b 4))
(.f64 #s(literal -1/192 binary64) (.f64 b (.f64 b (.f64 b b))))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b)))))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b)))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 b))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/8 binary64)))
(+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 b (*.f64 b #s(literal -1/192 binary64))))))
(+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 b (*.f64 b #s(literal -1/192 binary64))))))
(* -1/192 (pow b 3))
(.f64 (.f64 b (*.f64 b b)) #s(literal -1/192 binary64))
(* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(.f64 (.f64 b b) (.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b)))))
(* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(.f64 (.f64 b (.f64 b b)) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 b b)))))
(* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(.f64 (.f64 b (.f64 b b)) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 b b)))))
(* -1/192 (pow b 3))
(.f64 (.f64 b (*.f64 b b)) #s(literal -1/192 binary64))
(* -1 (* (pow b 3) (- 1/192 (* 1/8 (/ 1 (pow b 2))))))
(.f64 (.f64 b b) (.f64 b (+.f64 #s(literal -1/192 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 b b))))))
(* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2))))))
(.f64 (+.f64 #s(literal 1/192 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) (.f64 b b))) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))))
(* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2))))))
(.f64 (+.f64 #s(literal 1/192 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) (.f64 b b))) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* 1/8 a)
(*.f64 a #s(literal 1/8 binary64))
(* -1/192 (pow b 2))
(.f64 b (.f64 b #s(literal -1/192 binary64)))
(* -1/192 (pow b 2))
(.f64 b (.f64 b #s(literal -1/192 binary64)))
(* -1/192 (pow b 2))
(.f64 b (.f64 b #s(literal -1/192 binary64)))
(* -1/192 (pow b 2))
(.f64 b (.f64 b #s(literal -1/192 binary64)))
(* -1/192 (pow b 2))
(.f64 b (.f64 b #s(literal -1/192 binary64)))
(* -1/192 (pow b 2))
(.f64 b (.f64 b #s(literal -1/192 binary64)))
(* -1/192 (pow b 2))
(.f64 b (.f64 b #s(literal -1/192 binary64)))
(* -1/192 (pow b 2))
(.f64 b (.f64 b #s(literal -1/192 binary64)))
(* -1/192 (pow b 2))
(.f64 b (.f64 b #s(literal -1/192 binary64)))
(* -1/192 (pow b 2))
(.f64 b (.f64 b #s(literal -1/192 binary64)))
(* -1/192 (pow b 2))
(.f64 b (.f64 b #s(literal -1/192 binary64)))
(* -1/192 (pow b 2))
(.f64 b (.f64 b #s(literal -1/192 binary64)))
(* 1/8 b)
(*.f64 b #s(literal 1/8 binary64))
(* b (+ 1/8 (* -1/192 (pow b 2))))
(.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 b (*.f64 b #s(literal -1/192 binary64)))))
(* b (+ 1/8 (* -1/192 (pow b 2))))
(.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 b (*.f64 b #s(literal -1/192 binary64)))))
(* b (+ 1/8 (* -1/192 (pow b 2))))
(.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 b (*.f64 b #s(literal -1/192 binary64)))))
(* -1/192 (pow b 3))
(.f64 (.f64 b (*.f64 b b)) #s(literal -1/192 binary64))
(* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(.f64 (.f64 b b) (.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b)))))
(* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(.f64 (.f64 b b) (.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b)))))
(* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(.f64 (.f64 b b) (.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b)))))
(* -1/192 (pow b 3))
(.f64 (.f64 b (*.f64 b b)) #s(literal -1/192 binary64))
(* -1 (* (pow b 3) (- 1/192 (* 1/8 (/ 1 (pow b 2))))))
(.f64 (.f64 b b) (.f64 b (+.f64 #s(literal -1/192 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 b b))))))
(* -1 (* (pow b 3) (- 1/192 (* 1/8 (/ 1 (pow b 2))))))
(.f64 (.f64 b b) (.f64 b (+.f64 #s(literal -1/192 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 b b))))))
(* -1 (* (pow b 3) (- 1/192 (* 1/8 (/ 1 (pow b 2))))))
(.f64 (.f64 b b) (.f64 b (+.f64 #s(literal -1/192 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 b b))))))

eval53.0ms (0.4%)

Compiler: Compiled 6402 to 721 computations (88.7% saved)

prune46.0ms (0.4%)

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	434	9	443
Fresh	2	7	9
Picked	1	4	5
Done	0	1	1
Total	437	21	458

Accuracy

100.0%

Counts

458 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.4%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
▶	45.4%	(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	45.4%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))))
	45.6%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
▶	17.9%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (.f64 (+.f64 #s(literal 1/192 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) (.f64 b b))) (-.f64 #s(literal 0 binary64) (.f64 b (*.f64 b b))))))
	44.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal -1/192 binary64) a) a))))))
✓	44.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
✓	43.8%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
	5.1%	(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b)))))
▶	3.0%	(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
	2.5%	(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
	3.3%	(.f64 a (.f64 a #s(literal 1/8 binary64)))
▶	2.6%	(*.f64 #s(literal 1/2 binary64) a)
	4.0%	(.f64 #s(literal -1/192 binary64) (.f64 b (.f64 b (.f64 b b))))
▶	95.5%	(log1p.f64 (+.f64 (exp.f64 a) b))
	42.4%	(log1p.f64 (+.f64 #s(literal 1 binary64) a))
	75.8%	(log1p.f64 (.f64 b (.f64 b (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (exp.f64 a) b)) b)))))
	46.7%	(log1p.f64 (exp.f64 b))
✓	46.4%	(log1p.f64 (exp.f64 a))
✓	44.6%	(log1p.f64 #s(literal 1 binary64))
	45.1%	(log.f64 (+.f64 b #s(literal 2 binary64)))

Compiler

Compiled 421 to 303 computations (28% saved)

simplify112.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 b (.f64 (+.f64 #s(literal 1/192 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) (.f64 b b))) (-.f64 #s(literal 0 binary64) (.f64 b (*.f64 b b)))))
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (.f64 (+.f64 #s(literal 1/192 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) (.f64 b b))) (-.f64 #s(literal 0 binary64) (.f64 b (*.f64 b b))))))
✓	cost-diff	384	(.f64 (+.f64 #s(literal 1/192 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) (.f64 b b))) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))))
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 b #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(.f64 b (.f64 b b))
✓	cost-diff	0	(.f64 b (.f64 b (*.f64 b b)))
✓	cost-diff	256	(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) a)
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(+.f64 (exp.f64 a) b)
✓	cost-diff	0	(log1p.f64 (+.f64 (exp.f64 a) b))

Rules

1638×	`-lowering-.f32`
1638×	`-lowering-.f64`
1196×	`sum3-define`
1194×	`fma-lowering-fma.f32`
1194×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	33	161
1	76	156
2	199	152
3	648	151
4	1874	147
5	4246	136
0	8166	136

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(log (+ 1 (+ (exp a) b)))
(+ (exp a) b)
(exp a)
a
b
(* 1/2 a)
1/2
a
(* (* b (* b (* b b))) (+ -1/192 (/ 1/8 (* b b))))
(* b (* b (* b b)))
b
(* b (* b b))
(* b b)
(+ -1/192 (/ 1/8 (* b b)))
-1/192
(/ 1/8 (* b b))
1/8
(+ (* b 1/2) (log 2))
(* b 1/2)
b
1/2
(log 2)
2
(+ (log 2) (* b (* (+ 1/192 (/ (+ -1/8 (/ -1/2 b)) (* b b))) (- 0 (* b (* b b))))))
(log 2)
2
(* b (* (+ 1/192 (/ (+ -1/8 (/ -1/2 b)) (* b b))) (- 0 (* b (* b b)))))
b
(* (+ 1/192 (/ (+ -1/8 (/ -1/2 b)) (* b b))) (- 0 (* b (* b b))))
(+ 1/192 (/ (+ -1/8 (/ -1/2 b)) (* b b)))
1/192
(/ (+ -1/8 (/ -1/2 b)) (* b b))
(+ -1/8 (/ -1/2 b))
-1/8
(/ -1/2 b)
-1/2
(* b b)
(- 0 (* b (* b b)))
0
(* b (* b b))

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

localize273.0ms (2.2%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 b (.f64 (+.f64 #s(literal 1/192 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) (.f64 b b))) (-.f64 #s(literal 0 binary64) (.f64 b (*.f64 b b)))))
✓	accuracy	99.8%	(.f64 b (.f64 b b))
✓	accuracy	99.7%	(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 b b))
✓	accuracy	44.9%	(.f64 (+.f64 #s(literal 1/192 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) (.f64 b b))) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))))
✓	accuracy	100.0%	(*.f64 b #s(literal 1/2 binary64))
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	accuracy	99.8%	(.f64 b (.f64 b (*.f64 b b)))
✓	accuracy	99.8%	(.f64 b (.f64 b b))
✓	accuracy	99.7%	(/.f64 #s(literal 1/8 binary64) (*.f64 b b))
✓	accuracy	37.7%	(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) a)
✓	accuracy	100.0%	(+.f64 (exp.f64 a) b)
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(log1p.f64 (+.f64 (exp.f64 a) b))

Results

111.0ms	109×	1	valid
73.0ms	124×	0	valid
39.0ms	22×	2	valid
0.0ms	1×	0	invalid

Compiler

Compiled 195 to 32 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-log: 21.0ms (17.6% of total)

compiled-spec: 21.0ms (17.6% of total)

ival-mult: 19.0ms (15.9% of total)

backward-pass: 15.0ms (12.6% of total)

ival-add: 14.0ms (11.7% of total)

...c/correct-round.rkt:119:19: 12.0ms (10.1% of total)

ival-div: 9.0ms (7.5% of total)

ival-exp: 3.0ms (2.5% of total)

const: 2.0ms (1.7% of total)

ival-sub: 2.0ms (1.7% of total)

series43.0ms (0.3%)

Counts

16 → 204

Calls

Call 1

Inputs
#<alt (log (+ 1 (+ (exp a) b)))>
#<alt (+ (exp a) b)>
#<alt (exp a)>
#<alt (* 1/2 a)>
#<alt (* (* b (* b (* b b))) (+ -1/192 (/ 1/8 (* b b))))>
#<alt (* b (* b (* b b)))>
#<alt (* b (* b b))>
#<alt (* b b)>
#<alt (+ (* b 1/2) (log 2))>
#<alt (* b 1/2)>
#<alt (log 2)>
#<alt (* (+ 1/192 (/ (+ -1/8 (/ -1/2 b)) (* b b))) (- 0 (* b (* b b))))>
#<alt (+ (log 2) (* b (* (+ 1/192 (/ (+ -1/8 (/ -1/2 b)) (* b b))) (- 0 (* b (* b b))))))>
#<alt (* b (* (+ 1/192 (/ (+ -1/8 (/ -1/2 b)) (* b b))) (- 0 (* b (* b b)))))>
#<alt (/ 1/8 (* b b))>
#<alt (/ (+ -1/8 (/ -1/2 b)) (* b b))>

Outputs
#<alt (log (+ 2 b))>
#<alt (+ (log (+ 2 b)) (/ a (+ 2 b)))>
#<alt (+ (log (+ 2 b)) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2))))) (/ 1 (+ 2 b)))))>
#<alt (+ (log (+ 2 b)) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 b) 3))) (/ 1 (+ 2 b))) (* 3 (/ 1 (pow (+ 2 b) 2)))))) (* 1/2 (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2)))))) (/ 1 (+ 2 b)))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/3 (/ b (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<alt (* -1 (log (/ 1 b)))>
#<alt (+ (* -1 (log (/ 1 b))) (+ (/ 1 b) (/ (exp a) b)))>
#<alt (+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (/ 1 b) (/ (exp a) b))))>
#<alt (+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (* 1/3 (/ (pow (+ 1 (exp a)) 3) (pow b 3))) (+ (/ 1 b) (/ (exp a) b)))))>
#<alt (+ (log -1) (* -1 (log (/ -1 b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (+ (/ 1 b) (/ (exp a) b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* 1/2 (/ (pow (+ 1 (exp a)) 2) b))) b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* -1 (/ (+ (* -1/2 (pow (+ 1 (exp a)) 2)) (* 1/3 (/ (pow (+ 1 (exp a)) 3) b))) b))) b))))>
#<alt (+ 1 b)>
#<alt (+ 1 (+ a b))>
#<alt (+ 1 (+ b (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ b (exp a))>
#<alt (+ b (exp a))>
#<alt (+ b (exp a))>
#<alt (+ b (exp a))>
#<alt (+ b (exp a))>
#<alt (+ b (exp a))>
#<alt (+ b (exp a))>
#<alt (+ b (exp a))>
#<alt (exp a)>
#<alt (+ b (exp a))>
#<alt (+ b (exp a))>
#<alt (+ b (exp a))>
#<alt b>
#<alt (* b (+ 1 (/ (exp a) b)))>
#<alt (* b (+ 1 (/ (exp a) b)))>
#<alt (* b (+ 1 (/ (exp a) b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (exp a) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (exp a) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (exp a) b)) 1)))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/8 (pow b 2))>
#<alt (* (pow b 2) (+ 1/8 (* -1/192 (pow b 2))))>
#<alt (* (pow b 2) (+ 1/8 (* -1/192 (pow b 2))))>
#<alt (* (pow b 2) (+ 1/8 (* -1/192 (pow b 2))))>
#<alt (* -1/192 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (* -1/192 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ (log 2) b)))>
#<alt (* b (+ 1/2 (/ (log 2) b)))>
#<alt (* b (+ 1/2 (/ (log 2) b)))>
#<alt (* 1/2 b)>
#<alt (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))>
#<alt (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))>
#<alt (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 b))>
#<alt (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))>
#<alt (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))>
#<alt (* -1/192 (pow b 3))>
#<alt (* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))>
#<alt (* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))>
#<alt (* -1/192 (pow b 3))>
#<alt (* -1 (* (pow b 3) (- 1/192 (* 1/8 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2))))))>
#<alt (* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2))))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (* b (+ 1/2 (* 1/8 b))))>
#<alt (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))>
#<alt (* -1/192 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))>
#<alt (* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (+ (* 1/8 (/ 1 (pow b 2))) (/ (log 2) (pow b 4)))) 1/192))>
#<alt (* -1/192 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))>
#<alt (* (pow b 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) (pow b 3))) (* 1/8 (/ 1 (pow b 2)))) 1/192))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (* 1/8 b)))>
#<alt (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))>
#<alt (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))>
#<alt (* -1/192 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))>
#<alt (* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))>
#<alt (* -1/192 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))>
#<alt (* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))>
#<alt (* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))>
#<alt (/ 1/8 (pow b 2))>
#<alt (/ 1/8 (pow b 2))>
#<alt (/ 1/8 (pow b 2))>
#<alt (/ 1/8 (pow b 2))>
#<alt (/ 1/8 (pow b 2))>
#<alt (/ 1/8 (pow b 2))>
#<alt (/ 1/8 (pow b 2))>
#<alt (/ 1/8 (pow b 2))>
#<alt (/ 1/8 (pow b 2))>
#<alt (/ 1/8 (pow b 2))>
#<alt (/ 1/8 (pow b 2))>
#<alt (/ 1/8 (pow b 2))>
#<alt (/ -1/2 (pow b 3))>
#<alt (/ (- (* -1/8 b) 1/2) (pow b 3))>
#<alt (/ (- (* -1/8 b) 1/2) (pow b 3))>
#<alt (/ (- (* -1/8 b) 1/2) (pow b 3))>
#<alt (/ -1/8 (pow b 2))>
#<alt (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2)))>
#<alt (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2)))>
#<alt (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2)))>
#<alt (/ -1/8 (pow b 2))>
#<alt (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2)))>
#<alt (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2)))>
#<alt (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2)))>

Calls

51 calls:

Time	Variable		Point	Expression
18.0ms	a	@	-inf	(log (+ 1 (+ (exp a) b)))
15.0ms	a	@	inf	(log (+ 1 (+ (exp a) b)))
1.0ms	b	@	0	(+ (* b 1/2) (log 2))
1.0ms	a	@	0	(log (+ 1 (+ (exp a) b)))
0.0ms	b	@	inf	(log (+ 1 (+ (exp a) b)))

rewrite222.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2472×	`-lowering-.f32`
2472×	`-lowering-.f64`
1452×	`/-lowering-/.f32`
1452×	`/-lowering-/.f64`
1092×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	110
1	95	105
2	348	100
3	1627	94
4	6516	94
0	8028	94

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 480

Calls

Call 1

Inputs
(log (+ 1 (+ (exp a) b)))
(+ (exp a) b)
(exp a)
(* 1/2 a)
(* (* b (* b (* b b))) (+ -1/192 (/ 1/8 (* b b))))
(* b (* b (* b b)))
(* b (* b b))
(* b b)
(+ (* b 1/2) (log 2))
(* b 1/2)
(log 2)
(* (+ 1/192 (/ (+ -1/8 (/ -1/2 b)) (* b b))) (- 0 (* b (* b b))))
(+ (log 2) (* b (* (+ 1/192 (/ (+ -1/8 (/ -1/2 b)) (* b b))) (- 0 (* b (* b b))))))
(* b (* (+ 1/192 (/ (+ -1/8 (/ -1/2 b)) (* b b))) (- 0 (* b (* b b)))))
(/ 1/8 (* b b))
(/ (+ -1/8 (/ -1/2 b)) (* b b))

Outputs
(log.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) b)
(+.f64 b (exp.f64 a))
(-.f64 (exp.f64 a) (-.f64 #s(literal 0 binary64) b))
(-.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) b) (exp.f64 a)))
(-.f64 (+.f64 (exp.f64 a) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) b))
(fma.f64 #s(literal 1 binary64) b (exp.f64 a))
(fma.f64 b #s(literal 1 binary64) (exp.f64 a))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) b) (exp.f64 a))
(exp.f64 a)
(*.f64 a #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) a)
(+.f64 (/.f64 (.f64 b b) #s(literal 8 binary64)) (.f64 b (.f64 (.f64 b (*.f64 b b)) #s(literal -1/192 binary64))))
(+.f64 (.f64 b (.f64 (.f64 b (.f64 b b)) #s(literal -1/192 binary64))) (/.f64 (*.f64 b b) #s(literal 8 binary64)))
(-.f64 (.f64 b (.f64 (.f64 b (.f64 b b)) #s(literal -1/192 binary64))) (.f64 (.f64 b b) #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) #s(literal 8 binary64)) (.f64 b (.f64 (.f64 b (*.f64 b b)) #s(literal -1/192 binary64))))
(fma.f64 b (/.f64 b #s(literal 8 binary64)) (.f64 b (.f64 (.f64 b (.f64 b b)) #s(literal -1/192 binary64))))
(fma.f64 b (.f64 (.f64 b (.f64 b b)) #s(literal -1/192 binary64)) (/.f64 (.f64 b b) #s(literal 8 binary64)))
(fma.f64 (.f64 b b) #s(literal 1/8 binary64) (.f64 b (.f64 (.f64 b (*.f64 b b)) #s(literal -1/192 binary64))))
(fma.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal -1/192 binary64)) (/.f64 (.f64 b b) #s(literal 8 binary64)))
(fma.f64 (.f64 b (.f64 b b)) (/.f64 #s(literal 1/8 binary64) b) (.f64 b (.f64 (.f64 b (.f64 b b)) #s(literal -1/192 binary64))))
(fma.f64 (.f64 b (.f64 b b)) (.f64 b #s(literal -1/192 binary64)) (/.f64 (.f64 b b) #s(literal 8 binary64)))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal -1/192 binary64) (/.f64 (.f64 b b) #s(literal 8 binary64)))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (.f64 b (.f64 (.f64 b (.f64 b b)) #s(literal -1/192 binary64))))
(fma.f64 #s(literal -1/192 binary64) (.f64 b (.f64 b (.f64 b b))) (/.f64 (.f64 b b) #s(literal 8 binary64)))
(fma.f64 #s(literal 1/8 binary64) (.f64 b b) (.f64 b (.f64 (.f64 b (*.f64 b b)) #s(literal -1/192 binary64))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 (.f64 b (.f64 b b)) #s(literal -1/192 binary64))))
(fma.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) (.f64 b b)) (.f64 b (.f64 (.f64 b (*.f64 b b)) #s(literal -1/192 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (/.f64 #s(literal -1/8 binary64) b) (.f64 b (.f64 (.f64 b (.f64 b b)) #s(literal -1/192 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) #s(literal -1/8 binary64) (.f64 b (.f64 (.f64 b (*.f64 b b)) #s(literal -1/192 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64)) (.f64 b (.f64 (.f64 b (.f64 b b)) #s(literal -1/192 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (.f64 b b) (/.f64 #s(literal 8 binary64) (.f64 b b))) (.f64 b (.f64 (.f64 b (*.f64 b b)) #s(literal -1/192 binary64))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) b) (.f64 b (.f64 b b)) (.f64 b (.f64 (.f64 b (.f64 b b)) #s(literal -1/192 binary64))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) b) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (.f64 b (.f64 (.f64 b (.f64 b b)) #s(literal -1/192 binary64))))
(fma.f64 (/.f64 b #s(literal 8 binary64)) b (.f64 b (.f64 (.f64 b (.f64 b b)) #s(literal -1/192 binary64))))
(fma.f64 (.f64 (.f64 b (.f64 b b)) #s(literal -1/192 binary64)) b (/.f64 (.f64 b b) #s(literal 8 binary64)))
(fma.f64 (/.f64 (.f64 b b) (/.f64 #s(literal 8 binary64) (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 b b)) (.f64 b (.f64 (.f64 b (*.f64 b b)) #s(literal -1/192 binary64))))
(fma.f64 (.f64 b #s(literal -1/192 binary64)) (.f64 b (.f64 b b)) (/.f64 (.f64 b b) #s(literal 8 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b (.f64 b b)))) (/.f64 #s(literal -1/8 binary64) (.f64 b b)) (.f64 b (.f64 (.f64 b (.f64 b b)) #s(literal -1/192 binary64))))
(fma.f64 (.f64 (.f64 b b) #s(literal -1/192 binary64)) (.f64 b b) (/.f64 (.f64 b b) #s(literal 8 binary64)))
(fma.f64 (/.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) b) (.f64 b (.f64 (.f64 b (.f64 b b)) #s(literal -1/192 binary64))))
(fma.f64 (.f64 b (.f64 b (.f64 (.f64 b b) #s(literal -1/8 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 b b)) (.f64 b (.f64 (.f64 b (*.f64 b b)) #s(literal -1/192 binary64))))
(neg.f64 (.f64 (-.f64 #s(literal 0 binary64) b) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64))))))
(neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))
(neg.f64 (.f64 (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))) (-.f64 #s(literal 0 binary64) b)))
(neg.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64))) (-.f64 #s(literal 0 binary64) (.f64 b b))))
(/.f64 (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 b b) #s(literal -1/192 binary64)))) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(.f64 b (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))
(.f64 (.f64 b b) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64))))
(.f64 (.f64 b (.f64 b b)) (+.f64 (/.f64 #s(literal 1/8 binary64) b) (.f64 b #s(literal -1/192 binary64))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b))) (.f64 b (.f64 b (*.f64 b b))))
(.f64 (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))) b)
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64))) (.f64 b b))
(.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) b) (.f64 b #s(literal -1/192 binary64))) (.f64 b (.f64 b b)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 4 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (*.f64 b b)))))
(/.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (.f64 b b)))
(/.f64 (.f64 b (.f64 b b)) (/.f64 #s(literal 1 binary64) b))
(/.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b (*.f64 b b)))) #s(literal -1 binary64))
(pow.f64 b #s(literal 4 binary64))
(pow.f64 (*.f64 b b) #s(literal 2 binary64))
(pow.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 b (.f64 b (.f64 b b))))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 4 binary64)))
(.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) #s(literal 2 binary64)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 b b) (*.f64 b b))
(.f64 (.f64 b (*.f64 b b)) b)
(.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (pow.f64 (.f64 b (.f64 b b)) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) #s(literal 2 binary64)) (pow.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal 2 binary64)))
(+.f64 (.f64 b (.f64 b b)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (.f64 b (.f64 b b)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 b)))
(exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 b)) (.f64 (log.f64 b) #s(literal 4 binary64))))
(-.f64 (.f64 b (.f64 b b)) #s(literal 0 binary64))
(fma.f64 b (*.f64 b b) #s(literal 0 binary64))
(fma.f64 (*.f64 b b) b #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) b) (.f64 b (.f64 b (.f64 b b)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b (.f64 b (.f64 b (*.f64 b b)))))
(/.f64 b (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(/.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b))
(/.f64 (.f64 b (.f64 b b)) #s(literal 1 binary64))
(/.f64 (.f64 b (.f64 b (*.f64 b b))) b)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b))
(pow.f64 b #s(literal 3 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 b))
(.f64 #s(literal 1 binary64) (.f64 b (*.f64 b b)))
(.f64 b (.f64 b b))
(.f64 (.f64 b b) b)
(.f64 (.f64 b (*.f64 b b)) #s(literal 1 binary64))
(.f64 (.f64 b (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) b))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 b (*.f64 b b))) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) b) (.f64 b (.f64 b (.f64 b b))))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 b (*.f64 b b))))
(+.f64 #s(literal 0 binary64) (*.f64 b b))
(+.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b)) (.f64 b b))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 0 binary64)) (.f64 b b))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 b) #s(literal 4 binary64)) (.f64 (log.f64 b) #s(literal -2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 b) #s(literal -2 binary64)) (.f64 (log.f64 b) #s(literal 4 binary64))))
(exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 b)) (.f64 #s(literal 3 binary64) (log.f64 b))))
(exp.f64 (neg.f64 (*.f64 (log.f64 b) #s(literal -2 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 b) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (log.f64 b))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) b)) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(neg.f64 (/.f64 b (/.f64 #s(literal -1 binary64) b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (/.f64 b (.f64 b (.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b (.f64 b b))))))
(/.f64 b (/.f64 #s(literal 1 binary64) b))
(/.f64 (*.f64 b b) #s(literal 1 binary64))
(/.f64 (.f64 b (.f64 b b)) b)
(/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b b))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal -1 binary64) b))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b b)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b (.f64 b b)))) (-.f64 #s(literal 0 binary64) (.f64 b b)))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 b))
(.f64 #s(literal 1 binary64) (.f64 b b))
(*.f64 b b)
(.f64 (.f64 b b) #s(literal 1 binary64))
(.f64 (.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) b))
(.f64 (.f64 b (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(.f64 (.f64 b (.f64 b (.f64 b b))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(.f64 (.f64 b (.f64 b (.f64 b b))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (/.f64 b (-.f64 #s(literal 0 binary64) (.f64 b b))))
(*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b))
(.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (.f64 b (.f64 b b)) (-.f64 #s(literal 0 binary64) (.f64 b b))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) (/.f64 (.f64 b b) (-.f64 #s(literal 0 binary64) (.f64 b b))))
(.f64 (/.f64 #s(literal 1 binary64) b) (.f64 b (*.f64 b b)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (.f64 b (.f64 b (*.f64 b b))))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 b b)))
(.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b (.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 b b)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) #s(literal 1 binary64)) (.f64 b (.f64 b (*.f64 b b))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) (pow.f64 (.f64 b (*.f64 b b)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b (.f64 b b))))) (-.f64 #s(literal 0 binary64) (.f64 b b)))
(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 1/2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) b)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))
(*.f64 b #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) b)
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 b (.f64 b b)) #s(literal -1/192 binary64)) (.f64 b (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) b)))))
(+.f64 (+.f64 (.f64 (.f64 b (.f64 b b)) #s(literal -1/192 binary64)) (.f64 b (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) b)))) #s(literal 0 binary64))
(+.f64 (.f64 (.f64 b (.f64 b b)) #s(literal -1/192 binary64)) (.f64 b (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) b))))
(+.f64 (.f64 b (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) b))) (.f64 (.f64 b (.f64 b b)) #s(literal -1/192 binary64)))
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simplify249.0ms (2%)

Algorithm

1×	egg-herbie

Rules

3868×	`-lowering-.f32`
3868×	`-lowering-.f64`
2064×	`+-lowering-+.f64`
2064×	`+-lowering-+.f32`
1850×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	195	1474
1	573	1324
2	1870	1290
3	6667	1289
0	8149	1289

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(log (+ 2 b))
(+ (log (+ 2 b)) (/ a (+ 2 b)))
(+ (log (+ 2 b)) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2))))) (/ 1 (+ 2 b)))))
(+ (log (+ 2 b)) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 b) 3))) (/ 1 (+ 2 b))) (* 3 (/ 1 (pow (+ 2 b) 2)))))) (* 1/2 (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2)))))) (/ 1 (+ 2 b)))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/3 (/ b (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(* -1 (log (/ 1 b)))
(+ (* -1 (log (/ 1 b))) (+ (/ 1 b) (/ (exp a) b)))
(+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (/ 1 b) (/ (exp a) b))))
(+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (* 1/3 (/ (pow (+ 1 (exp a)) 3) (pow b 3))) (+ (/ 1 b) (/ (exp a) b)))))
(+ (log -1) (* -1 (log (/ -1 b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (+ (/ 1 b) (/ (exp a) b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* 1/2 (/ (pow (+ 1 (exp a)) 2) b))) b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* -1 (/ (+ (* -1/2 (pow (+ 1 (exp a)) 2)) (* 1/3 (/ (pow (+ 1 (exp a)) 3) b))) b))) b))))
(+ 1 b)
(+ 1 (+ a b))
(+ 1 (+ b (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ b (exp a))
(+ b (exp a))
(+ b (exp a))
(+ b (exp a))
(+ b (exp a))
(+ b (exp a))
(+ b (exp a))
(+ b (exp a))
(exp a)
(+ b (exp a))
(+ b (exp a))
(+ b (exp a))
b
(* b (+ 1 (/ (exp a) b)))
(* b (+ 1 (/ (exp a) b)))
(* b (+ 1 (/ (exp a) b)))
b
(* -1 (* b (- (* -1 (/ (exp a) b)) 1)))
(* -1 (* b (- (* -1 (/ (exp a) b)) 1)))
(* -1 (* b (- (* -1 (/ (exp a) b)) 1)))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/8 (pow b 2))
(* (pow b 2) (+ 1/8 (* -1/192 (pow b 2))))
(* (pow b 2) (+ 1/8 (* -1/192 (pow b 2))))
(* (pow b 2) (+ 1/8 (* -1/192 (pow b 2))))
(* -1/192 (pow b 4))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(* -1/192 (pow b 4))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(log 2)
(+ (log 2) (* 1/2 b))
(+ (log 2) (* 1/2 b))
(+ (log 2) (* 1/2 b))
(* 1/2 b)
(* b (+ 1/2 (/ (log 2) b)))
(* b (+ 1/2 (/ (log 2) b)))
(* b (+ 1/2 (/ (log 2) b)))
(* 1/2 b)
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
1/2
(+ 1/2 (* 1/8 b))
(+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))
(+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))
(* -1/192 (pow b 3))
(* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(* -1/192 (pow b 3))
(* -1 (* (pow b 3) (- 1/192 (* 1/8 (/ 1 (pow b 2))))))
(* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2))))))
(* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2))))))
(log 2)
(+ (log 2) (* 1/2 b))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(* -1/192 (pow b 4))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (+ (* 1/8 (/ 1 (pow b 2))) (/ (log 2) (pow b 4)))) 1/192))
(* -1/192 (pow b 4))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(* (pow b 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) (pow b 3))) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(* 1/2 b)
(* b (+ 1/2 (* 1/8 b)))
(* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))
(* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))
(* -1/192 (pow b 4))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(* -1/192 (pow b 4))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(/ 1/8 (pow b 2))
(/ 1/8 (pow b 2))
(/ 1/8 (pow b 2))
(/ 1/8 (pow b 2))
(/ 1/8 (pow b 2))
(/ 1/8 (pow b 2))
(/ 1/8 (pow b 2))
(/ 1/8 (pow b 2))
(/ 1/8 (pow b 2))
(/ 1/8 (pow b 2))
(/ 1/8 (pow b 2))
(/ 1/8 (pow b 2))
(/ -1/2 (pow b 3))
(/ (- (* -1/8 b) 1/2) (pow b 3))
(/ (- (* -1/8 b) 1/2) (pow b 3))
(/ (- (* -1/8 b) 1/2) (pow b 3))
(/ -1/8 (pow b 2))
(* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2)))
(* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2)))
(* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2)))
(/ -1/8 (pow b 2))
(* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2)))
(* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2)))
(* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2)))

Outputs
(log (+ 2 b))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(+ (log (+ 2 b)) (/ a (+ 2 b)))
(+.f64 (log.f64 (+.f64 #s(literal 2 binary64) b)) (/.f64 a (+.f64 #s(literal 2 binary64) b)))
(+ (log (+ 2 b)) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2))))) (/ 1 (+ 2 b)))))
(+.f64 (log.f64 (+.f64 #s(literal 2 binary64) b)) (.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b)) (.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) b)) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) b) (+.f64 #s(literal 2 binary64) b))))))))
(+ (log (+ 2 b)) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 b) 3))) (/ 1 (+ 2 b))) (* 3 (/ 1 (pow (+ 2 b) 2)))))) (* 1/2 (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2)))))) (/ 1 (+ 2 b)))))
(+.f64 (log.f64 (+.f64 #s(literal 2 binary64) b)) (.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b)) (.f64 a (+.f64 (.f64 a (.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) b)) (.f64 (+.f64 #s(literal 2 binary64) b) (+.f64 #s(literal 2 binary64) b))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b)) (/.f64 #s(literal -3 binary64) (.f64 (+.f64 #s(literal 2 binary64) b) (+.f64 #s(literal 2 binary64) b))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) b)) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) b) (+.f64 #s(literal 2 binary64) b)))))))))
(log (+ 1 (+ b (exp a))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log (+ 1 (+ b (exp a))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log (+ 1 (+ b (exp a))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log (+ 1 (+ b (exp a))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log (+ 1 (+ b (exp a))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log (+ 1 (+ b (exp a))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log (+ 1 (+ b (exp a))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log (+ 1 (+ b (exp a))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (/ 1 (+ 1 (exp a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/3 (/ b (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b (+.f64 (/.f64 (*.f64 b #s(literal 1/3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))))
(* -1 (log (/ 1 b)))
(log.f64 b)
(+ (* -1 (log (/ 1 b))) (+ (/ 1 b) (/ (exp a) b)))
(+.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (log.f64 b) (/.f64 (exp.f64 a) b)))
(+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (/ 1 b) (/ (exp a) b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (.f64 b b))) (+.f64 (/.f64 #s(literal 1 binary64) b) (log.f64 b))))
(+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (* 1/3 (/ (pow (+ 1 (exp a)) 3) (pow b 3))) (+ (/ 1 b) (/ (exp a) b)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (exp.f64 a) b)) (+.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal 3 binary64))) (+.f64 (log.f64 b) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (*.f64 b b))))))
(+ (log -1) (* -1 (log (/ -1 b))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (+ (/ 1 b) (/ (exp a) b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b)))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* 1/2 (/ (pow (+ 1 (exp a)) 2) b))) b))))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) b))) b))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* -1 (/ (+ (* -1/2 (pow (+ 1 (exp a)) 2)) (* 1/3 (/ (pow (+ 1 (exp a)) 3) b))) b))) b))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) b))) b)) b) (log.f64 (/.f64 #s(literal -1 binary64) b))))
(+ 1 b)
(+.f64 b #s(literal 1 binary64))
(+ 1 (+ a b))
(+.f64 b (+.f64 a #s(literal 1 binary64)))
(+ 1 (+ b (* a (+ 1 (* 1/2 a)))))
(+.f64 #s(literal 1 binary64) (+.f64 b (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64))))))
(+ 1 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+.f64 (+.f64 b #s(literal 1 binary64)) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ b (exp a))
(+.f64 b (exp.f64 a))
(exp a)
(exp.f64 a)
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ b (exp a))
(+.f64 b (exp.f64 a))
b
(* b (+ 1 (/ (exp a) b)))
(+.f64 b (*.f64 (exp.f64 a) #s(literal 1 binary64)))
(* b (+ 1 (/ (exp a) b)))
(+.f64 b (*.f64 (exp.f64 a) #s(literal 1 binary64)))
(* b (+ 1 (/ (exp a) b)))
(+.f64 b (*.f64 (exp.f64 a) #s(literal 1 binary64)))
b
(* -1 (* b (- (* -1 (/ (exp a) b)) 1)))
(+.f64 b (*.f64 (exp.f64 a) #s(literal 1 binary64)))
(* -1 (* b (- (* -1 (/ (exp a) b)) 1)))
(+.f64 b (*.f64 (exp.f64 a) #s(literal 1 binary64)))
(* -1 (* b (- (* -1 (/ (exp a) b)) 1)))
(+.f64 b (*.f64 (exp.f64 a) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/8 (pow b 2))
(.f64 (.f64 b b) #s(literal 1/8 binary64))
(* (pow b 2) (+ 1/8 (* -1/192 (pow b 2))))
(.f64 b (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))
(* (pow b 2) (+ 1/8 (* -1/192 (pow b 2))))
(.f64 b (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))
(* (pow b 2) (+ 1/8 (* -1/192 (pow b 2))))
(.f64 b (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))
(* -1/192 (pow b 4))
(.f64 #s(literal -1/192 binary64) (.f64 b (.f64 b (.f64 b b))))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(* -1/192 (pow b 4))
(.f64 #s(literal -1/192 binary64) (.f64 b (.f64 b (.f64 b b))))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 b))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 1/2 binary64)))
(+ (log 2) (* 1/2 b))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 1/2 binary64)))
(+ (log 2) (* 1/2 b))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 1/2 binary64)))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* b (+ 1/2 (/ (log 2) b)))
(+.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(* b (+ 1/2 (/ (log 2) b)))
(+.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(* b (+ 1/2 (/ (log 2) b)))
(+.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))
(+.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))
(+.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))
(+.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 b))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/8 binary64)))
(+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 b b) #s(literal -1/192 binary64)))))
(+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 b b) #s(literal -1/192 binary64)))))
(* -1/192 (pow b 3))
(.f64 (.f64 b (*.f64 b b)) #s(literal -1/192 binary64))
(* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(.f64 (.f64 b b) (.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b)))))
(* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(.f64 (.f64 b (.f64 b b)) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 b b))))))
(* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(.f64 (.f64 b (.f64 b b)) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 b b))))))
(* -1/192 (pow b 3))
(.f64 (.f64 b (*.f64 b b)) #s(literal -1/192 binary64))
(* -1 (* (pow b 3) (- 1/192 (* 1/8 (/ 1 (pow b 2))))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) (+.f64 (/.f64 #s(literal -1/8 binary64) b) (*.f64 b #s(literal 1/192 binary64))))
(* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2))))))
(.f64 (+.f64 #s(literal 1/192 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) (.f64 b b))) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))))
(* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2))))))
(.f64 (+.f64 #s(literal 1/192 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) (.f64 b b))) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 b))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 1/2 binary64)))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))))
(* -1/192 (pow b 4))
(.f64 #s(literal -1/192 binary64) (.f64 b (.f64 b (.f64 b b))))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b))))))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (+ (* 1/8 (/ 1 (pow b 2))) (/ (log 2) (pow b 4)))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (.f64 b (.f64 b b)))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 b b)))))))
(* -1/192 (pow b 4))
(.f64 #s(literal -1/192 binary64) (.f64 b (.f64 b (.f64 b b))))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b))))))
(* (pow b 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) (pow b 3))) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) (.f64 b (*.f64 b b)))))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* b (+ 1/2 (* 1/8 b)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))
(* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64))))))
(* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64))))))
(* -1/192 (pow b 4))
(.f64 #s(literal -1/192 binary64) (.f64 b (.f64 b (.f64 b b))))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b))))))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b))))))
(* -1/192 (pow b 4))
(.f64 #s(literal -1/192 binary64) (.f64 b (.f64 b (.f64 b b))))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b))))))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b))))))
(/ 1/8 (pow b 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 b b))
(/ 1/8 (pow b 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 b b))
(/ 1/8 (pow b 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 b b))
(/ 1/8 (pow b 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 b b))
(/ 1/8 (pow b 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 b b))
(/ 1/8 (pow b 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 b b))
(/ 1/8 (pow b 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 b b))
(/ 1/8 (pow b 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 b b))
(/ 1/8 (pow b 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 b b))
(/ 1/8 (pow b 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 b b))
(/ 1/8 (pow b 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 b b))
(/ 1/8 (pow b 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 b b))
(/ -1/2 (pow b 3))
(/.f64 #s(literal -1/2 binary64) (.f64 b (.f64 b b)))
(/ (- (* -1/8 b) 1/2) (pow b 3))
(/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 b b))
(/ (- (* -1/8 b) 1/2) (pow b 3))
(/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 b b))
(/ (- (* -1/8 b) 1/2) (pow b 3))
(/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 b b))
(/ -1/8 (pow b 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 b b))
(* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 b b))
(* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 b b))
(* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 b b))
(/ -1/8 (pow b 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 b b))
(* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 b b))
(* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 b b))
(* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 b b))

eval415.0ms (3.3%)

Compiler: Compiled 19187 to 2462 computations (87.2% saved)

prune117.0ms (0.9%)

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	918	6	924
Fresh	3	8	11
Picked	3	2	5
Done	0	5	5
Total	924	21	945

Accuracy

100.0%

Counts

945 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.4%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	45.4%	(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	45.4%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) #s(literal -1/192 binary64)))))))
	45.6%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
	24.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (.f64 (.f64 b b) (+.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) b)) b) (.f64 b #s(literal -1/192 binary64))))))
	44.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal -1/192 binary64) a) a))))))
✓	44.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
✓	43.8%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64)))
	5.1%	(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b)))))
	5.1%	(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b))))))
	5.5%	(.f64 (.f64 b b) #s(literal 1/8 binary64))
	12.6%	(*.f64 b #s(literal 1/2 binary64))
	3.3%	(.f64 a (.f64 a #s(literal 1/8 binary64)))
✓	95.5%	(log1p.f64 (+.f64 (exp.f64 a) b))
	45.1%	(log1p.f64 (+.f64 b #s(literal 1 binary64)))
	42.4%	(log1p.f64 (+.f64 #s(literal 1 binary64) a))
	75.8%	(log1p.f64 (.f64 b (.f64 b (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (exp.f64 a) b)) b)))))
	46.7%	(log1p.f64 (exp.f64 b))
✓	46.4%	(log1p.f64 (exp.f64 a))
	53.6%	(log1p.f64 b)
✓	44.6%	(log1p.f64 #s(literal 1 binary64))

Compiler

Compiled 602 to 298 computations (50.5% saved)

regimes61.0ms (0.5%)

Counts

37 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

12.0ms	a
10.0ms	b
10.0ms	(exp.f64 b)
10.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes62.0ms (0.5%)

Counts

36 → 2

Calls

Call 1

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

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

Calls

6 calls:

12.0ms	(exp.f64 a)
11.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
10.0ms	a
10.0ms	b
8.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
100.0%	2	`a`
98.4%	1	`b`
98.4%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.4%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
100.0%	2	`(exp.f64 a)`
98.4%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes55.0ms (0.4%)

Counts

35 → 2

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
98.0%	2	`b`
98.1%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.1%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.0%	2	`(exp.f64 b)`
99.6%	2	`a`
99.6%	2	`(exp.f64 a)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes21.0ms (0.2%)

Counts

34 → 2

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	a
9.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes20.0ms (0.2%)

Counts

29 → 3

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	(exp.f64 a)
9.0ms	a

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes16.0ms (0.1%)

Counts

26 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	a
6.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.3%	2	`a`
98.3%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes24.0ms (0.2%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	a
7.0ms	b
7.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
65.8%	3	`b`
97.6%	2	`a`
97.6%	2	`(exp.f64 a)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes14.0ms (0.1%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	a
5.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes11.0ms (0.1%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	a
4.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes30.0ms (0.2%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	a
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
96.7%	2	`a`
96.7%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes6.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

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

Outputs
(log1p.f64 b)
(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
93.9%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Counts

15 → 2

Calls

Call 1

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

Outputs
(log1p.f64 b)
(log1p.f64 (+.f64 b #s(literal 1 binary64)))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
93.8%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts

13 → 2

Calls

Call 1

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

Outputs
(log1p.f64 b)
(log.f64 (+.f64 b #s(literal 2 binary64)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
93.8%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

11 → 2

Calls

Call 1

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

Outputs
(log1p.f64 b)
(log1p.f64 #s(literal 1 binary64))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
93.3%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

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

Outputs
(*.f64 b #s(literal 1/2 binary64))
(log1p.f64 #s(literal 1 binary64))

Calls

2 calls:

4.0ms	a
4.0ms	b

Results

Accuracy	Segments	Branch
44.6%	1	`b`
52.3%	2	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) a)
(*.f64 b #s(literal 1/2 binary64))
(.f64 a (.f64 a #s(literal 1/8 binary64)))
(.f64 (.f64 b b) #s(literal 1/8 binary64))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
(.f64 #s(literal -1/192 binary64) (.f64 b (.f64 b (.f64 b b))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b)))))

Outputs
(*.f64 b #s(literal 1/2 binary64))

Calls

2 calls:

5.0ms	b
3.0ms	a

Results

Accuracy	Segments	Branch
12.6%	1	`b`
12.6%	1	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) a)

Outputs
(*.f64 #s(literal 1/2 binary64) a)

Calls

2 calls:

1.0ms	b
1.0ms	a

Results

Accuracy	Segments	Branch
2.6%	1	`a`
2.6%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999998263724132	1.0

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.030834761341617e-21	0.5586546141700831

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch24.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
23.0ms	-1.2640639427114228e+96	-2.1744705507211423e+94

Results

13.0ms	25×	2	valid
7.0ms	35×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 105 to 82 computations (21.9% saved)

Precisions

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

ival-log: 8.0ms (50% of total)

ival-exp: 4.0ms (25% of total)

backward-pass: 2.0ms (12.5% of total)

ival-add: 1.0ms (6.2% of total)

const: 0.0ms (0% of total)

bsearch63.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-1.736276018607447e-7	-3.09870882598255e-18
44.0ms	-1.2640639427114228e+96	-2.1744705507211423e+94

Results

24.0ms	72×	1	valid
15.0ms	32×	2	valid
12.0ms	168×	0	valid

Compiler

Compiled 272 to 211 computations (22.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-exp: 19.0ms (50.9% of total)

ival-log: 14.0ms (37.5% of total)

ival-add: 2.0ms (5.4% of total)

backward-pass: 2.0ms (5.4% of total)

const: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.030834761341617e-21	0.5586546141700831

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-93.78139486846453	-46.9603134615569

Results

10.0ms	57×	1	valid
0.0ms	7×	0	valid

Compiler

Compiled 73 to 58 computations (20.5% saved)

Precisions

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

ival-exp: 3.0ms (41.9% of total)

ival-log: 2.0ms (28% of total)

ival-add: 1.0ms (14% of total)

backward-pass: 1.0ms (14% of total)

const: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-46.9603134615569	-0.582223860522169

Results

12.0ms	77×	1	valid
2.0ms	35×	0	valid

Compiler

Compiled 167 to 136 computations (18.6% saved)

Precisions

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

ival-exp: 3.0ms (33.6% of total)

ival-log: 3.0ms (33.6% of total)

ival-add: 1.0ms (11.2% of total)

backward-pass: 1.0ms (11.2% of total)

const: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.030834761341617e-21	0.5586546141700831

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.030834761341617e-21	0.5586546141700831

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch25.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	-46.9603134615569	-0.582223860522169

Results

12.0ms	74×	1	valid
3.0ms	38×	0	valid

Compiler

Compiled 111 to 94 computations (15.3% saved)

Precisions

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

ival-exp: 3.0ms (34.6% of total)

ival-log: 3.0ms (34.6% of total)

ival-add: 1.0ms (11.5% of total)

backward-pass: 1.0ms (11.5% of total)

const: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	-46.9603134615569	-0.582223860522169

Results

12.0ms	75×	1	valid
3.0ms	37×	0	valid

Compiler

Compiled 97 to 80 computations (17.5% saved)

Precisions

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

ival-exp: 3.0ms (33.9% of total)

ival-log: 3.0ms (33.9% of total)

ival-add: 1.0ms (11.3% of total)

backward-pass: 1.0ms (11.3% of total)

const: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-46.9603134615569	-0.582223860522169

Results

12.0ms	78×	1	valid
2.0ms	34×	0	valid

Compiler

Compiled 97 to 80 computations (17.5% saved)

Precisions

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

ival-exp: 3.0ms (33.6% of total)

ival-log: 3.0ms (33.6% of total)

ival-add: 1.0ms (11.2% of total)

backward-pass: 1.0ms (11.2% of total)

const: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	-46.9603134615569	-0.582223860522169

Results

12.0ms	75×	1	valid
9.0ms	37×	0	valid

Compiler

Compiled 83 to 73 computations (12% saved)

Precisions

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

ival-exp: 3.0ms (33.8% of total)

ival-log: 3.0ms (33.8% of total)

ival-add: 1.0ms (11.3% of total)

backward-pass: 1.0ms (11.3% of total)

const: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	-46.9603134615569	-0.582223860522169

Results

16.0ms	75×	1	valid
3.0ms	37×	0	valid

Compiler

Compiled 90 to 80 computations (11.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-add: 5.0ms (40.3% of total)

ival-exp: 3.0ms (24.2% of total)

ival-log: 3.0ms (24.2% of total)

backward-pass: 1.0ms (8.1% of total)

const: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

30×	`+-commutative_binary64`
20×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	247
1	110	247

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (.f64 b (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))))
(if (<=.f64 (exp.f64 a) #s(literal 1 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 6646139978924579/1329227995784915872903807060280344576 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 a #s(literal -30000000000000000606566373814678409657282889696430732234133305686240120149944929280760934825984 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (+.f64 (exp.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
(if (<=.f64 a #s(literal -22000000000000001185884711916254484459528423166318480565958992696675697962488152456535381901312 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (if (<=.f64 a #s(literal -2515018790852807/81129638414606681695789005144064 binary64)) (log1p.f64 (+.f64 (exp.f64 a) b)) (log1p.f64 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 6646139978924579/1329227995784915872903807060280344576 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 a #s(literal -90 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 a #s(literal -42 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 6646139978924579/1329227995784915872903807060280344576 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 6646139978924579/1329227995784915872903807060280344576 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -34 binary64)) (log1p.f64 b) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -42 binary64)) (log1p.f64 b) (log1p.f64 (+.f64 b #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -46 binary64)) (log1p.f64 b) (log.f64 (+.f64 b #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -43 binary64)) (log1p.f64 b) (log1p.f64 #s(literal 1 binary64)))
(if (<=.f64 a #s(literal -46 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))
(*.f64 b #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) a)

Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (.f64 b (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))))
(+.f64 (log1p.f64 (exp.f64 a)) (.f64 b (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (.f64 b (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(if (<=.f64 (exp.f64 a) #s(literal 1 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 1 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 6646139978924579/1329227995784915872903807060280344576 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 6646139978924579/1329227995784915872903807060280344576 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 a #s(literal -30000000000000000606566373814678409657282889696430732234133305686240120149944929280760934825984 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (+.f64 (exp.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
(if (<=.f64 a #s(literal -30000000000000000606566373814678409657282889696430732234133305686240120149944929280760934825984 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (+.f64 (exp.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
(if (<=.f64 a #s(literal -22000000000000001185884711916254484459528423166318480565958992696675697962488152456535381901312 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (if (<=.f64 a #s(literal -2515018790852807/81129638414606681695789005144064 binary64)) (log1p.f64 (+.f64 (exp.f64 a) b)) (log1p.f64 (exp.f64 b))))
(if (<=.f64 a #s(literal -22000000000000001185884711916254484459528423166318480565958992696675697962488152456535381901312 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (if (<=.f64 a #s(literal -2515018790852807/81129638414606681695789005144064 binary64)) (log1p.f64 (+.f64 (exp.f64 a) b)) (log1p.f64 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 6646139978924579/1329227995784915872903807060280344576 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 6646139978924579/1329227995784915872903807060280344576 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 a #s(literal -90 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 a #s(literal -90 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 a #s(literal -42 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))))
(if (<=.f64 a #s(literal -42 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 6646139978924579/1329227995784915872903807060280344576 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 6646139978924579/1329227995784915872903807060280344576 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 6646139978924579/1329227995784915872903807060280344576 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 6646139978924579/1329227995784915872903807060280344576 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -34 binary64)) (log1p.f64 b) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -42 binary64)) (log1p.f64 b) (log1p.f64 (+.f64 b #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -46 binary64)) (log1p.f64 b) (log.f64 (+.f64 b #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -43 binary64)) (log1p.f64 b) (log1p.f64 #s(literal 1 binary64)))
(if (<=.f64 a #s(literal -46 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))
(*.f64 b #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) a)
(*.f64 a #s(literal 1/2 binary64))

soundness1.5s (11.9%)

Rules

4598×	`-lowering-.f32`
4598×	`-lowering-.f64`
4588×	`+-lowering-+.f64`
4588×	`+-lowering-+.f32`
4452×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	236	1920
1	740	1676
2	2447	1606
0	8219	1606
0	407	3826
1	1439	3344
2	6237	3274
0	8508	3274
0	99	480
1	291	446
2	963	442
3	3348	440
0	8044	440
0	195	1474
1	573	1324
2	1870	1290
3	6667	1289
0	8149	1289
0	28	156
1	89	138
2	328	134
3	1631	134
0	8222	134

Stop Event

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

Compiler

Compiled 853 to 542 computations (36.5% saved)

preprocess86.0ms (0.7%)

Compiler: Compiled 658 to 272 computations (58.7% saved)

Iter	Nodes	Cost
0	18	24
1	37	24
2	55	24
3	64	24
4	93	24
5	112	24
6	131	24
7	155	24
8	162	24
0	6	3
1	8	3
2	9	3
0	9	3

Iter	Nodes	Cost
0	18	24
1	37	24
2	55	24
3	64	24
4	93	24
5	112	24
6	131	24
7	155	24
8	162	24
0	6	3
1	8	3
2	9	3
0	9	3

analyze186.0ms (1.5%)

sample5.7s (44.7%)

preprocess23.0ms (0.2%)

explain210.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize79.0ms (0.6%)

series87.0ms (0.7%)

rewrite50.0ms (0.4%)

simplify276.0ms (2.2%)

eval8.0ms (0.1%)

prune9.0ms (0.1%)

simplify189.0ms (1.5%)

localize526.0ms (4.1%)

series217.0ms (1.7%)

rewrite221.0ms (1.7%)

simplify223.0ms (1.8%)

eval138.0ms (1.1%)

prune111.0ms (0.9%)

simplify36.0ms (0.3%)

localize345.0ms (2.7%)

series12.0ms (0.1%)

rewrite75.0ms (0.6%)

simplify251.0ms (2%)

eval53.0ms (0.4%)

prune46.0ms (0.4%)

simplify112.0ms (0.9%)

localize273.0ms (2.2%)

series43.0ms (0.3%)

rewrite222.0ms (1.8%)

simplify249.0ms (2%)

eval415.0ms (3.3%)

prune117.0ms (0.9%)

regimes61.0ms (0.5%)

regimes62.0ms (0.5%)

regimes55.0ms (0.4%)

regimes21.0ms (0.2%)

regimes20.0ms (0.2%)

regimes16.0ms (0.1%)

regimes24.0ms (0.2%)

regimes14.0ms (0.1%)

regimes11.0ms (0.1%)

regimes30.0ms (0.2%)

regimes6.0ms (0.1%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch24.0ms (0.2%)

bsearch63.0ms (0.5%)

bsearch0.0ms (0%)

bsearch14.0ms (0.1%)

bsearch21.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch25.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch26.0ms (0.2%)

bsearch23.0ms (0.2%)

simplify10.0ms (0.1%)

soundness1.5s (11.9%)

preprocess86.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	24
1	37	24
2	55	24
3	64	24
4	93	24
5	112	24
6	131	24
7	155	24
8	162	24
0	6	3
1	8	3
2	9	3
0	9	3