Metrics for symmetry log of sum of exp

analyze157.0ms (1.4%)

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: 68.0ms

ival-exp: 33.0ms (48.2% of total)

ival-log: 23.0ms (33.6% of total)

ival-add: 11.0ms (16.1% of total)

const: 1.0ms (1.5% of total)

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

sample4.8s (43.4%)

Results

2.3s	7742×	5	exit
894.0ms	1722×	2	valid
494.0ms	2149×	1	valid
287.0ms	4385×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-exp: 1.0s (38% of total)

ival-log: 858.0ms (32.6% of total)

backward-pass: 532.0ms (20.2% of total)

ival-add: 226.0ms (8.6% of total)

const: 17.0ms (0.6% of total)

Bogosity

preprocess15.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	42
1	33	42
2	49	42
3	58	42
4	87	42
5	106	42
6	125	42
7	149	42
8	156	42
0	6	6
1	7	6
0	7	6

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

Symmetry

(sort a b)

explain177.0ms (1.6%)

FPErrors

Click to see full error table

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

Results

73.0ms	124×	2	valid
33.0ms	140×	1	valid
31.0ms	248×	0	valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-log: 41.0ms (45.6% of total)

ival-exp: 36.0ms (40% of total)

backward-pass: 6.0ms (6.7% of total)

ival-add: 5.0ms (5.6% of total)

const: 1.0ms (1.1% 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
▶	50.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify3.0ms (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×	`+-lowering-+.f32`
4×	`exp-lowering-exp.f64`
2×	`log-lowering-log.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	7	17
0	7	17

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

localize68.0ms (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

31.0ms	62×	2	valid
18.0ms	70×	1	valid
9.0ms	124×	0	valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-log: 22.0ms (52.3% of total)

ival-exp: 14.0ms (33.3% of total)

ival-add: 3.0ms (7.1% of total)

backward-pass: 3.0ms (7.1% of total)

const: 0.0ms (0% of total)

series87.0ms (0.8%)

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)))
18.0ms	b	@	-inf	(log (+ (exp a) (exp b)))
14.0ms	b	@	inf	(log (+ (exp a) (exp b)))
1.0ms	a	@	0	(log (+ (exp a) (exp b)))

rewrite334.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

2558×	`/-lowering-/.f32`
2558×	`/-lowering-/.f64`
2380×	`-lowering-.f32`
2380×	`-lowering-.f64`
2228×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	20	15
2	160	15
3	1606	15
0	8928	15

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 197

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 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))))
(+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (log.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
(+.f64 (log.f64 (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) (log.f64 (.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))))
(+.f64 (log.f64 (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) (log.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
(+.f64 (log.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (log.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (.f64 a #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a)))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))) (log.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))))
(+.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) #s(literal 3 binary64))))) (log.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (-.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 2 binary64))))))))
(+.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) #s(literal 2 binary64))))) (log.f64 (+.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))) (exp.f64 (+.f64 a b)))))
(+.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))) (-.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))))) (log.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(-.f64 (log.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (log.f64 (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(-.f64 (log.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (log.f64 (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64))))) (log.f64 (.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (.f64 a #s(literal 2 binary64)))))))
(-.f64 (log.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (.f64 a #s(literal 2 binary64))))) (log.f64 (-.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 (log.f64 (+.f64 (exp.f64 (.f64 a #s(literal 9 binary64))) (exp.f64 (.f64 b #s(literal 9 binary64))))) (log.f64 (.f64 (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 6 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 3 binary64))))))))
(-.f64 (log.f64 (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64))))) (log.f64 (.f64 (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (-.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(-.f64 (log.f64 (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64))))) (log.f64 (.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (.f64 b #s(literal 4 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64))))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))))
(-.f64 (log.f64 (-.f64 (.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) (.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (.f64 b #s(literal 2 binary64)))))) (log.f64 (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2 binary64))))
(-.f64 (log.f64 (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 9 binary64))) (exp.f64 (.f64 b #s(literal 9 binary64)))) #s(literal 1 binary64))) (log.f64 (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 6 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 3 binary64))))) (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
(-.f64 (log.f64 (.f64 (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64)))) #s(literal 1 binary64))) (log.f64 (.f64 (-.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
(-.f64 (log.f64 (.f64 (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64)))) #s(literal 1 binary64))) (log.f64 (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64))))) (-.f64 (exp.f64 a) (exp.f64 b)))))
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(/.f64 (neg.f64 (-.f64 (/.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 (exp.f64 (.f64 b #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (neg.f64 (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(/.f64 (neg.f64 (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 9 binary64))) (exp.f64 (.f64 b #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))) (neg.f64 (+.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 6 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))) (neg.f64 (-.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) (neg.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (.f64 b #s(literal 4 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) (neg.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))))
(/.f64 (+.f64 (/.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 3 binary64))) (pow.f64 (neg.f64 (/.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (/.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (/.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))))) (.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64))
(.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b))))
(.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(.f64 (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
(.f64 (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64)))
(.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a))))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (+.f64 (exp.f64 a) (exp.f64 b)))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (-.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (exp.f64 (.f64 a #s(literal 2 binary64)))))))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) #s(literal 2 binary64)))) (+.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (exp.f64 (+.f64 a b))))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))) (-.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))
(.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (.f64 b #s(literal 4 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64)))))))
(.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (.f64 a #s(literal 9 binary64))) (exp.f64 (.f64 b #s(literal 9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 6 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 3 binary64)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(exp.f64 a)
(exp.f64 (*.f64 a #s(literal 1 binary64)))
(pow.f64 (exp.f64 a) #s(literal 1 binary64))
(exp.f64 b)
(exp.f64 (*.f64 b #s(literal 1 binary64)))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))

simplify278.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

5828×	`+-lowering-+.f64`
5828×	`+-lowering-+.f32`
4444×	`-lowering-.f32`
4444×	`-lowering-.f64`
1764×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	528
1	290	500
2	963	500
3	3322	498
0	8680	498

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

eval31.0ms (0.3%)

Compiler: Compiled 8055 to 857 computations (89.4% saved)

prune36.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	260	9	269
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	260	10	270

Accuracy

99.7%

Counts

270 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
	50.1%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
	47.2%	(log1p.f64 (exp.f64 b))
▶	48.0%	(log1p.f64 (exp.f64 a))
▶	49.8%	(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))))))))
▶	45.8%	(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
	49.7%	(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)))))))
	49.5%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	50.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶	47.2%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))

Compiler

Compiled 192 to 146 computations (24% saved)

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

1042×	`fma-define`
916×	`fma-lowering-fma.f32`
916×	`fma-lowering-fma.f64`
842×	`sum3-define`
768×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	141
1	56	129
2	149	128
3	336	128
4	777	128
5	1474	128
6	2038	128
7	2052	128
0	2052	128

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize132.0ms (1.2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
✓	accuracy	100.0%	(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))
✓	accuracy	100.0%	(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))))))))
✓	accuracy	99.7%	(*.f64 b #s(literal 1/6 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) a)
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))
✓	accuracy	99.2%	(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	accuracy	99.2%	(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%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))

Results

49.0ms	136×	0	invalid
34.0ms	119×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 150 to 24 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-add: 20.0ms (34% of total)

ival-log: 16.0ms (27.2% of total)

compiled-spec: 6.0ms (10.2% of total)

ival-mult: 5.0ms (8.5% of total)

ival-exp: 4.0ms (6.8% of total)

...c/correct-round.rkt:119:19: 4.0ms (6.8% of total)

ival-div: 2.0ms (3.4% of total)

const: 1.0ms (1.7% of total)

backward-pass: 0.0ms (0% of total)

series243.0ms (2.2%)

Counts

16 → 264

Calls

Call 1

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

Outputs
#<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 (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 (/ 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 (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 (+ 1 (exp b)))>
#<alt (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))>
#<alt (+ (log (+ 1 (exp b))) (* a (+ (* -1/2 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b))))))>
#<alt (+ (log (+ 1 (exp b))) (* a (+ (* a (- (* 1/3 (/ a (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))>
#<alt (* -1 (log (/ 1 a)))>
#<alt (+ (* -1 (log (/ 1 a))) (+ (/ 1 a) (/ (exp b) a)))>
#<alt (+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 1 (exp b)) 2) (pow a 2))) (+ (/ 1 a) (/ (exp b) a))))>
#<alt (+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 1 (exp b)) 2) (pow a 2))) (+ (* 1/3 (/ (pow (+ 1 (exp b)) 3) (pow a 3))) (+ (/ 1 a) (/ (exp b) a)))))>
#<alt (+ (log -1) (* -1 (log (/ -1 a))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 a))) (+ (/ 1 a) (/ (exp b) a))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 1 (exp b))) (* 1/2 (/ (pow (+ 1 (exp b)) 2) a))) a))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 1 (exp b))) (* -1 (/ (+ (* -1/2 (pow (+ 1 (exp b)) 2)) (* 1/3 (/ (pow (+ 1 (exp b)) 3) a))) a))) a))))>
#<alt (log (+ 2 a))>
#<alt (+ (log (+ 2 a)) (/ b (+ 2 a)))>
#<alt (+ (log (+ 2 a)) (* b (+ (* 1/2 (* b (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2))))) (/ 1 (+ 2 a)))))>
#<alt (+ (log (+ 2 a)) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 2 a) 3))) (/ 1 (+ 2 a))) (* 3 (/ 1 (pow (+ 2 a) 2)))))) (* 1/2 (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2)))))) (/ 1 (+ 2 a)))))>
#<alt (log (+ 1 (+ a (exp b))))>
#<alt (log (+ 1 (+ a (exp b))))>
#<alt (log (+ 1 (+ a (exp b))))>
#<alt (log (+ 1 (+ a (exp b))))>
#<alt (log (+ 1 (+ a (exp b))))>
#<alt (log (+ 1 (+ a (exp b))))>
#<alt (log (+ 1 (+ a (exp b))))>
#<alt (log (+ 1 (+ a (exp b))))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt a>
#<alt (* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))>
#<alt (* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))>
#<alt (* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))>
#<alt (+ 2 a)>
#<alt (+ 2 (+ a b))>
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ a (exp b)))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 a)>
#<alt (+ 1 a)>
#<alt a>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt a>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ a (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (+ (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))))>
#<alt (+ (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (* 3 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))))) (* 1/2 (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 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 1/6) (* -3 (log (/ 1 b))))>
#<alt (+ (log 1/6) (+ (* -3 (log (/ 1 b))) (* 3 (/ 1 b))))>
#<alt (+ (log 1/6) (+ (* -3 (log (/ 1 b))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2)))))>
#<alt (+ (log 1/6) (+ (* -3 (log (/ 1 b))) (+ (* 1/6 (/ (- (* 36 (+ 1 (exp a))) 54) (pow b 3))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2))))))>
#<alt (+ (log -1/6) (* -3 (log (/ -1 b))))>
#<alt (+ (log -1/6) (+ (* -3 (log (/ -1 b))) (* 3 (/ 1 b))))>
#<alt (+ (log -1/6) (+ (* -3 (log (/ -1 b))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2)))))>
#<alt (+ (log -1/6) (+ (* -3 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (+ 3/2 (* -1/6 (/ (+ 54 (* -36 (+ 1 (exp a)))) b))) b)) 3) b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 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 (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (+ (/ 1 (pow b 3)) (/ (exp a) (pow b 3)))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))) b)) 1/6)))>
#<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 (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt b>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))>
#<alt (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>

Calls

66 calls:

Time	Variable		Point	Expression
78.0ms	b	@	inf	(log (+ (+ 1 a) (exp b)))
33.0ms	a	@	inf	(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
24.0ms	b	@	-inf	(log (+ (+ 1 a) (exp b)))
22.0ms	a	@	-inf	(log (+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
19.0ms	a	@	inf	(log (+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))

rewrite425.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3436×	`-lowering-.f32`
3436×	`-lowering-.f64`
3230×	`/-lowering-/.f32`
3230×	`/-lowering-/.f64`
2362×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	100
1	154	91
2	1604	90
0	8737	90

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 445

Calls

Call 1

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

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

simplify249.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

4232×	`-lowering-.f32`
4232×	`-lowering-.f64`
4204×	`+-lowering-+.f64`
4204×	`+-lowering-+.f32`
1500×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	373	2487
1	1149	2243
2	4100	2220
0	8984	2220

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(+ (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))))))
(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)
(/ 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)))
(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 (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* -1/2 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (- (* 1/3 (/ a (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(* -1 (log (/ 1 a)))
(+ (* -1 (log (/ 1 a))) (+ (/ 1 a) (/ (exp b) a)))
(+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 1 (exp b)) 2) (pow a 2))) (+ (/ 1 a) (/ (exp b) a))))
(+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 1 (exp b)) 2) (pow a 2))) (+ (* 1/3 (/ (pow (+ 1 (exp b)) 3) (pow a 3))) (+ (/ 1 a) (/ (exp b) a)))))
(+ (log -1) (* -1 (log (/ -1 a))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (+ (/ 1 a) (/ (exp b) a))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 1 (exp b))) (* 1/2 (/ (pow (+ 1 (exp b)) 2) a))) a))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 1 (exp b))) (* -1 (/ (+ (* -1/2 (pow (+ 1 (exp b)) 2)) (* 1/3 (/ (pow (+ 1 (exp b)) 3) a))) a))) a))))
(log (+ 2 a))
(+ (log (+ 2 a)) (/ b (+ 2 a)))
(+ (log (+ 2 a)) (* b (+ (* 1/2 (* b (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2))))) (/ 1 (+ 2 a)))))
(+ (log (+ 2 a)) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 2 a) 3))) (/ 1 (+ 2 a))) (* 3 (/ 1 (pow (+ 2 a) 2)))))) (* 1/2 (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2)))))) (/ 1 (+ 2 a)))))
(log (+ 1 (+ a (exp b))))
(log (+ 1 (+ a (exp b))))
(log (+ 1 (+ a (exp b))))
(log (+ 1 (+ a (exp b))))
(log (+ 1 (+ a (exp b))))
(log (+ 1 (+ a (exp b))))
(log (+ 1 (+ a (exp b))))
(log (+ 1 (+ a (exp b))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
a
(* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))
(* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))
(* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))
a
(* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))
(+ 2 a)
(+ 2 (+ a b))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
(+ 1 (+ a (exp b)))
1
(+ 1 a)
(+ 1 a)
(+ 1 a)
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ a (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(+ (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))))
(+ (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (* 3 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))))) (* 1/2 (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 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 1/6) (* -3 (log (/ 1 b))))
(+ (log 1/6) (+ (* -3 (log (/ 1 b))) (* 3 (/ 1 b))))
(+ (log 1/6) (+ (* -3 (log (/ 1 b))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2)))))
(+ (log 1/6) (+ (* -3 (log (/ 1 b))) (+ (* 1/6 (/ (- (* 36 (+ 1 (exp a))) 54) (pow b 3))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2))))))
(+ (log -1/6) (* -3 (log (/ -1 b))))
(+ (log -1/6) (+ (* -3 (log (/ -1 b))) (* 3 (/ 1 b))))
(+ (log -1/6) (+ (* -3 (log (/ -1 b))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2)))))
(+ (log -1/6) (+ (* -3 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (+ 3/2 (* -1/6 (/ (+ 54 (* -36 (+ 1 (exp a)))) b))) b)) 3) b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 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)))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (+ (/ 1 (pow b 3)) (/ (exp a) (pow b 3)))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))) b)) 1/6)))
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))
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/2 b)
(* b (+ 1/2 (* 1/6 b)))
(* b (+ 1/2 (* 1/6 b)))
(* b (+ 1/2 (* 1/6 b)))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
b
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))

Outputs
(+ (log 2) (* 1/2 b))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64))))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+.f64 (.f64 #s(literal 1/2 binary64) b) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))) (.f64 b #s(literal -1/4 binary64))))))
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(log (+ 1 (exp a)))
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(log (+ 1 (exp a)))
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(log (+ 1 (exp a)))
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(log (+ 1 (exp a)))
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1
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(exp a)
(exp.f64 a)
(exp a)
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(exp a)
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(exp a)
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(exp a)
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(exp a)
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(exp a)
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(exp a)
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(* 1/2 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 (+ 1 (+ a (exp b))))
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(+ 1 (+ a (exp b)))
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a
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(* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))
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(* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))
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a
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(* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))
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(* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))
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1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
a
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
a
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(log.f64 (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(+ (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ a (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(+.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))))) (/.f64 a (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))))))
(+ (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))))
(+.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))))) (.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))))) (.f64 (.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #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 (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))))))))))
(+ (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (* 3 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))))) (* 1/2 (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))))
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(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log1p.f64 (+.f64 (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 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log1p.f64 (+.f64 (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 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log1p.f64 (+.f64 (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 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log1p.f64 (+.f64 (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 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log1p.f64 (+.f64 (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 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log1p.f64 (+.f64 (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 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log1p.f64 (+.f64 (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 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log1p.f64 (+.f64 (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 (+ 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 (*.f64 #s(literal 1/2 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 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))))))
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(+ (log 1/6) (* -3 (log (/ 1 b))))
(+.f64 (log.f64 #s(literal 1/6 binary64)) (*.f64 #s(literal 3 binary64) (log.f64 b)))
(+ (log 1/6) (+ (* -3 (log (/ 1 b))) (* 3 (/ 1 b))))
(+.f64 (log.f64 #s(literal 1/6 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) (log.f64 b)) (/.f64 #s(literal 3 binary64) b)))
(+ (log 1/6) (+ (* -3 (log (/ 1 b))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2)))))
(+.f64 (log.f64 #s(literal 1/6 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (log.f64 b)) (+.f64 (/.f64 #s(literal 3 binary64) b) (/.f64 #s(literal 3/2 binary64) (.f64 b b)))))
(+ (log 1/6) (+ (* -3 (log (/ 1 b))) (+ (* 1/6 (/ (- (* 36 (+ 1 (exp a))) 54) (pow b 3))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2))))))
(+.f64 (+.f64 (+.f64 (log.f64 #s(literal 1/6 binary64)) (.f64 #s(literal 3 binary64) (log.f64 b))) (+.f64 (/.f64 #s(literal 3 binary64) b) (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 36 binary64))) #s(literal -9 binary64)) (.f64 b (.f64 b b))))) (/.f64 #s(literal 3/2 binary64) (.f64 b b)))
(+ (log -1/6) (* -3 (log (/ -1 b))))
(+.f64 (log.f64 #s(literal -1/6 binary64)) (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b))))
(+ (log -1/6) (+ (* -3 (log (/ -1 b))) (* 3 (/ 1 b))))
(+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b))) (+.f64 (log.f64 #s(literal -1/6 binary64)) (/.f64 #s(literal 3 binary64) b)))
(+ (log -1/6) (+ (* -3 (log (/ -1 b))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2)))))
(+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b))) (+.f64 (log.f64 #s(literal -1/6 binary64)) (+.f64 (/.f64 #s(literal 3 binary64) b) (/.f64 #s(literal 3/2 binary64) (.f64 b b)))))
(+ (log -1/6) (+ (* -3 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (+ 3/2 (* -1/6 (/ (+ 54 (* -36 (+ 1 (exp a)))) b))) b)) 3) b))))
(-.f64 (+.f64 (log.f64 #s(literal -1/6 binary64)) (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 (exp.f64 a) #s(literal -36 binary64)))) b)) b)) b))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))
(+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 #s(literal 2 binary64) (+.f64 a (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a))) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/6 binary64)))))) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 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)))))))
(+ 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)))))))
(+ 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)))))))
(+ 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)))))))
(+ 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)))))))
(+ 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)))))))
(+ 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)))))))
(+ 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)))))))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 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)))))))
(* 1/6 (pow b 3))
(.f64 b (.f64 b (*.f64 b #s(literal 1/6 binary64))))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b (*.f64 b b)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(.f64 (.f64 b (.f64 b b)) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1 binary64) (.f64 b b)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (+ (/ 1 (pow b 3)) (/ (exp a) (pow b 3)))))))
(.f64 (.f64 b (.f64 b b)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)) (+.f64 (/.f64 (exp.f64 a) (.f64 b (.f64 b b))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b)))))))
(* 1/6 (pow b 3))
(.f64 b (.f64 b (*.f64 b #s(literal 1/6 binary64))))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b (*.f64 b b)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) b)) (-.f64 #s(literal 0 binary64) (.f64 b (*.f64 b b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))) b)) 1/6)))
(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) b)) b)) (-.f64 #s(literal 0 binary64) (.f64 b (*.f64 b b))))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 2 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a))))
(+ 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))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (* 1/6 b)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))
(* b (+ 1/2 (* 1/6 b)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))
(* b (+ 1/2 (* 1/6 b)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))
(* 1/6 (pow b 2))
(.f64 b (.f64 b #s(literal 1/6 binary64)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))
(* 1/6 (pow b 2))
(.f64 b (.f64 b #s(literal 1/6 binary64)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))
b
(* b (+ 1 (* 1/2 b)))
(.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
(* 1/6 (pow b 3))
(.f64 b (.f64 b (*.f64 b #s(literal 1/6 binary64))))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b (*.f64 b b)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(.f64 (.f64 b (.f64 b b)) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1 binary64) (.f64 b b)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(.f64 (.f64 b (.f64 b b)) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1 binary64) (.f64 b b)))))
(* 1/6 (pow b 3))
(.f64 b (.f64 b (*.f64 b #s(literal 1/6 binary64))))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b (*.f64 b b)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) b)) (-.f64 #s(literal 0 binary64) (.f64 b (*.f64 b b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) b)) (-.f64 #s(literal 0 binary64) (.f64 b (*.f64 b b))))

eval136.0ms (1.2%)

Compiler: Compiled 23038 to 2257 computations (90.2% saved)

prune84.0ms (0.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	829	11	840
Fresh	4	0	4
Picked	4	1	5
Done	1	0	1
Total	838	12	850

Accuracy

99.7%

Counts

850 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.0%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
	47.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 b b)))))))
	47.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
	46.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))))))
▶	46.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
	47.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
▶	46.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
	44.8%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
✓	48.0%	(log1p.f64 (exp.f64 a))
▶	46.3%	(log1p.f64 #s(literal 1 binary64))
▶	47.0%	(log.f64 (+.f64 #s(literal 2 binary64) b))
	44.8%	(log.f64 (+.f64 #s(literal 2 binary64) a))

Compiler

Compiled 217 to 178 computations (18% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

48×	`fma-define`
44×	`fma-lowering-fma.f32`
44×	`fma-lowering-fma.f64`
36×	`+-lowering-+.f64`
36×	`+-lowering-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	72
1	34	67
2	57	67
3	75	67
4	81	67
0	81	67

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize80.0ms (0.7%)

Localize:

Found 13 expressions of interest:

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

Results

56.0ms	255×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 75 to 20 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-log: 11.0ms (30.9% of total)

ival-add: 9.0ms (25.3% of total)

ival-mult: 5.0ms (14.1% of total)

compiled-spec: 5.0ms (14.1% of total)

ival-div: 2.0ms (5.6% of total)

ival-exp: 2.0ms (5.6% of total)

const: 1.0ms (2.8% of total)

backward-pass: 0.0ms (0% of total)

series13.0ms (0.1%)

Counts

13 → 144

Calls

Call 1

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

Outputs
#<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 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 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 (- (* 1/24 b) 1/8)))))>
#<alt (* -1 (log (/ 1 b)))>
#<alt (+ (* -1 (log (/ 1 b))) (* 2 (/ 1 b)))>
#<alt (- (+ (* -1 (log (/ 1 b))) (* 2 (/ 1 b))) (/ 2 (pow b 2)))>
#<alt (- (+ (* -1 (log (/ 1 b))) (+ (* 2 (/ 1 b)) (* 8/3 (/ 1 (pow b 3))))) (/ 2 (pow b 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (* 2 (/ 1 b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (- (* 2 (/ 1 b)) 2) b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 b)) 2) b)) 2) b))))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 b)>
#<alt (+ 2 b)>
#<alt b>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt b>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 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 (* 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)>

Calls

36 calls:

Time	Variable		Point	Expression
5.0ms	b	@	0	(log (+ 2 b))
3.0ms	a	@	0	(+ (log 2) (* 1/2 a))
0.0ms	a	@	-inf	(+ (log 2) (* a (+ 1/2 (* a 1/8))))
0.0ms	b	@	-inf	(log (+ 2 b))
0.0ms	a	@	inf	(+ (log 2) (* a (+ 1/2 (* a 1/8))))

rewrite286.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4874×	`-lowering-.f32`
4874×	`-lowering-.f64`
3324×	`/-lowering-/.f32`
3324×	`/-lowering-/.f64`
2140×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	57
1	103	52
2	857	52
0	8411	52

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 352

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) #s(literal 1 binary64)) (.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (*.f64 (exp.f64 a) (expm1.f64 a))))
(+.f64 (.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (.f64 (exp.f64 a) (expm1.f64 a))) (.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) a)))) #s(literal 1 binary64)) (.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 0 binary64) (exp.f64 a))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))))) (.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))))))
(+.f64 (.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))))) (.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) a))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(neg.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(/.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b))
(/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 a) (expm1.f64 a)) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (-.f64 (*.f64 (exp.f64 a) (expm1.f64 a)) #s(literal 1 binary64))))))
(/.f64 (.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 a) (expm1.f64 a)) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) a))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) a))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) a)) (exp.f64 a)))))
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(/.f64 (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 a (-.f64 (.f64 a #s(literal 1/64 binary64)) #s(literal 1/16 binary64)))))
(/.f64 (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64)))) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 a a)) (-.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/16 binary64)))))
(/.f64 (.f64 a (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64))) a) (+.f64 #s(literal 1/4 binary64) (.f64 a (-.f64 (.f64 a #s(literal 1/64 binary64)) #s(literal 1/16 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 a a))) a) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64)) (.f64 a (.f64 a a))))) (neg.f64 (+.f64 (.f64 a (.f64 a #s(literal 1/4 binary64))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 a a)) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 a a)) (*.f64 a #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64)))))) (neg.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/8 binary64))))))
(/.f64 (neg.f64 (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64))))) (+.f64 #s(literal -1/4 binary64) (neg.f64 (.f64 a (-.f64 (.f64 a #s(literal 1/64 binary64)) #s(literal 1/16 binary64))))))
(/.f64 (neg.f64 (.f64 a (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 a a))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64))) a)) (+.f64 #s(literal -1/4 binary64) (neg.f64 (.f64 a (-.f64 (.f64 a #s(literal 1/64 binary64)) #s(literal 1/16 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 a a))) a)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64)) (.f64 a (.f64 a a))) (.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a a)))) (+.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 a a)) (.f64 a a)) (-.f64 (.f64 a (.f64 a #s(literal 1/4 binary64))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 a a)) (*.f64 a #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 a a)) (.f64 a a)) (.f64 a (.f64 a #s(literal 1/4 binary64)))) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 a a)) (*.f64 a #s(literal 1/2 binary64))))
(/.f64 (.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
(/.f64 (.f64 a (+.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64))))) (+.f64 #s(literal -1/4 binary64) (neg.f64 (.f64 a (-.f64 (.f64 a #s(literal 1/64 binary64)) #s(literal 1/16 binary64))))))
(/.f64 (.f64 a (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 a a))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64)))))
(/.f64 (.f64 a (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 a a)) #s(literal -1/4 binary64))) (+.f64 (.f64 a #s(literal 1/8 binary64)) #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 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 a (-.f64 (*.f64 a #s(literal 1/64 binary64)) #s(literal 1/16 binary64))))) a))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 a a))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/8 binary64)))) a))
(.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a #s(literal 1/4 binary64))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 a a)) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 a a)) (.f64 a #s(literal 1/2 binary64)))))))
(.f64 (.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64))))))
(.f64 (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 a (-.f64 (*.f64 a #s(literal 1/64 binary64)) #s(literal 1/16 binary64))))))
(.f64 (.f64 a (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/8 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64))) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 a (-.f64 (*.f64 a #s(literal 1/64 binary64)) #s(literal 1/16 binary64))))))
(.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 a a))) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/8 binary64)))))
(+.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))
(+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64)))) (neg.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 a a)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64))))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64)))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 a a)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 a a)) (+.f64 (.f64 a #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 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))
(neg.f64 (+.f64 (*.f64 a #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 a a)) (-.f64 #s(literal 1/4 binary64) (.f64 a #s(literal 1/16 binary64)))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a #s(literal 1/8 binary64)) #s(literal -1/2 binary64)) (+.f64 (.f64 #s(literal 1/64 binary64) (*.f64 a a)) #s(literal -1/4 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 a (-.f64 (*.f64 a #s(literal 1/64 binary64)) #s(literal 1/16 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64))) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 a a)) (-.f64 #s(literal 1/4 binary64) (.f64 a #s(literal 1/16 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 a a))) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/8 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64))))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64)))) (+.f64 #s(literal -1/4 binary64) (neg.f64 (.f64 a (-.f64 (*.f64 a #s(literal 1/64 binary64)) #s(literal 1/16 binary64))))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64)))) (neg.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 a a)) (-.f64 #s(literal 1/4 binary64) (.f64 a #s(literal 1/16 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 a a)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/8 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 a a)) #s(literal -1/4 binary64)) (+.f64 (*.f64 a #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (+.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))) (.f64 #s(literal 1/64 binary64) (.f64 a a)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/8 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 a (-.f64 (.f64 a #s(literal 1/64 binary64)) #s(literal 1/16 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 a a))) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64)) (.f64 #s(literal 1/262144 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64)) (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64)) #s(literal 1/8 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 a (-.f64 (*.f64 a #s(literal 1/64 binary64)) #s(literal 1/16 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/262144 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 a (-.f64 (*.f64 a #s(literal 1/64 binary64)) #s(literal 1/16 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/262144 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 #s(literal 1/64 binary64) (.f64 a a)) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 a a)) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (.f64 a (.f64 #s(literal 1/4096 binary64) (.f64 a (.f64 a a))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 a a))) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/8 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64))))) (neg.f64 (+.f64 #s(literal -1/4 binary64) (neg.f64 (.f64 a (-.f64 (*.f64 a #s(literal 1/64 binary64)) #s(literal 1/16 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 a a))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/8 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 a a)) #s(literal -1/4 binary64))) (neg.f64 (+.f64 (*.f64 a #s(literal 1/8 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 a a)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64)))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64))))) (+.f64 (.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 a a)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64)))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 a a)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64))))) (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64)))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 a a)) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/8 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64)))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64))))) (.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 a a)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64)))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 a a)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64)))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64)))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 a a)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/8 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 a (-.f64 (.f64 a #s(literal 1/64 binary64)) #s(literal 1/16 binary64))))))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 a a)) (-.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/16 binary64))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64)))))
(.f64 (+.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (neg.f64 (.f64 a (-.f64 (.f64 a #s(literal 1/64 binary64)) #s(literal 1/16 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64))))))
(.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 a a)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a #s(literal 1/8 binary64)) #s(literal -1/2 binary64))))
(*.f64 a #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) a)

simplify166.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1994×	`sum3-define`
1816×	`sum5-define`
1778×	`sum4-define`
1734×	`-lowering-.f32`
1734×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	842
1	427	780
2	1366	725
3	4950	725
0	8205	725

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(/ 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)))
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))
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 (- (* 1/24 b) 1/8)))))
(* -1 (log (/ 1 b)))
(+ (* -1 (log (/ 1 b))) (* 2 (/ 1 b)))
(- (+ (* -1 (log (/ 1 b))) (* 2 (/ 1 b))) (/ 2 (pow b 2)))
(- (+ (* -1 (log (/ 1 b))) (+ (* 2 (/ 1 b)) (* 8/3 (/ 1 (pow b 3))))) (/ 2 (pow b 2)))
(+ (log -1) (* -1 (log (/ -1 b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* 2 (/ 1 b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (- (* 2 (/ 1 b)) 2) b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 b)) 2) b)) 2) b))))
2
(+ 2 b)
(+ 2 b)
(+ 2 b)
b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 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))))
(* 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)

Outputs
(/ 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 (.f64 a a) (.f64 (.f64 b a) #s(literal 1/48 binary64))) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 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)))
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))
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)
(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 (- (* 1/24 b) 1/8)))))
(+.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 #s(literal 1/24 binary64)))))))
(* -1 (log (/ 1 b)))
(log.f64 b)
(+ (* -1 (log (/ 1 b))) (* 2 (/ 1 b)))
(+.f64 (log.f64 b) (/.f64 #s(literal 2 binary64) b))
(- (+ (* -1 (log (/ 1 b))) (* 2 (/ 1 b))) (/ 2 (pow b 2)))
(+.f64 (log.f64 b) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) b)) b))
(- (+ (* -1 (log (/ 1 b))) (+ (* 2 (/ 1 b)) (* 8/3 (/ 1 (pow b 3))))) (/ 2 (pow b 2)))
(+.f64 (+.f64 (log.f64 b) (/.f64 #s(literal 2 binary64) b)) (/.f64 (+.f64 (/.f64 #s(literal 8/3 binary64) b) #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))) (* 2 (/ 1 b))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) b) (log.f64 (/.f64 #s(literal -1 binary64) b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (- (* 2 (/ 1 b)) 2) b))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) b)) b) (log.f64 (/.f64 #s(literal -1 binary64) b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 b)) 2) b)) 2) b))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/3 binary64) b) #s(literal -2 binary64)) b)) b)))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
b
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 b #s(literal 2 binary64))
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 b #s(literal 2 binary64))
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 b #s(literal 2 binary64))
b
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 b #s(literal 2 binary64))
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 b #s(literal 2 binary64))
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 b #s(literal 2 binary64))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(+.f64 (*.f64 a #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* 1/2 a))
(+.f64 (*.f64 a #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* 1/2 a))
(+.f64 (*.f64 a #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* a (+ 1/2 (/ (log 2) a)))
(+.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(* a (+ 1/2 (/ (log 2) a)))
(+.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(* a (+ 1/2 (/ (log 2) a)))
(+.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(+.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(+.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(+.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 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))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(+.f64 (*.f64 a #s(literal 1/2 binary64)) (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))))))
(* (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))))))
(* 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 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))
(+.f64 (.f64 a (.f64 a #s(literal 1/8 binary64))) (+.f64 (.f64 a #s(literal 1/2 binary64)) (.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 a #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64))))
(* 1/2 a)
(*.f64 a #s(literal 1/2 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))))
(* 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)))
(* 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))

eval55.0ms (0.5%)

Compiler: Compiled 9735 to 1264 computations (87% saved)

prune57.0ms (0.5%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	494	3	497
Fresh	1	5	6
Picked	0	5	5
Done	0	1	1
Total	495	14	509

Accuracy

99.7%

Counts

509 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.0%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
▶	12.5%	(/.f64 b #s(literal 2 binary64))
▶	47.2%	(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
▶	47.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 b b)))))))
	47.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
▶	46.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))))))
✓	46.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
✓	46.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
	3.1%	(.f64 a (.f64 a #s(literal 1/8 binary64)))
	44.8%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
✓	48.0%	(log1p.f64 (exp.f64 a))
✓	46.3%	(log1p.f64 #s(literal 1 binary64))
✓	47.0%	(log.f64 (+.f64 #s(literal 2 binary64) b))
▶	44.8%	(log.f64 (+.f64 #s(literal 2 binary64) a))

Compiler

Compiled 203 to 164 computations (19.2% saved)

simplify32.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

684×	`fma-define`
616×	`fma-lowering-fma.f32`
616×	`fma-lowering-fma.f64`
296×	`sum3-define`
260×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	169
1	69	151
2	208	151
3	411	151
4	670	151
5	910	151
6	976	151
0	976	151

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize113.0ms (1%)

Localize:

Found 14 expressions of interest:

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

Results

42.0ms	137×	0	invalid
34.0ms	119×	0	valid

Compiler

Compiled 173 to 27 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 17.0ms (42.4% of total)

ival-add: 10.0ms (24.9% of total)

ival-log: 6.0ms (15% of total)

...c/correct-round.rkt:119:19: 6.0ms (15% of total)

ival-div: 2.0ms (5% of total)

const: 1.0ms (2.5% of total)

backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts

15 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	b	@	inf	(* b (+ 1/2 (* b (+ 1/8 (* -1/192 (* b b))))))
1.0ms	b	@	0	(+ (* b 1/2) (log 2))
0.0ms	b	@	-inf	(* b (+ 1/2 (* b (+ 1/8 (* -1/192 (* b b))))))
0.0ms	b	@	inf	(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (* b b)))))))
0.0ms	b	@	-inf	(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (* b b)))))))

rewrite346.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3432×	`-lowering-.f32`
3432×	`-lowering-.f64`
2618×	`+-lowering-+.f64`
2618×	`+-lowering-+.f32`
2548×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	119
1	172	104
2	1704	104
0	8620	104

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 322

Calls

Call 1

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

Outputs
(+.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))))))))
(+.f64 (.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))))))) (log.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 b #s(literal 2 binary64)) (+.f64 (.f64 (.f64 b b) (+.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b #s(literal -1/192 binary64))))) (log.f64 #s(literal 2 binary64))))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) (.f64 (.f64 b b) (+.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b #s(literal -1/192 binary64))))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 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 b (.f64 b #s(literal -1/192 binary64))))))))) (/.f64 (.f64 (.f64 b b) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b #s(literal -1/192 binary64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 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 (+.f64 #s(literal 1/8 binary64) (.f64 b (*.f64 b #s(literal -1/192 binary64))))))))))
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(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) a)) #s(literal 3 binary64)) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/7077888 binary64))) (.f64 a (.f64 a a)))) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) a)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) a))) (-.f64 (.f64 (.f64 #s(literal -1/192 binary64) (.f64 a (.f64 a a))) (.f64 #s(literal -1/192 binary64) (.f64 a (.f64 a a)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) a)) (.f64 #s(literal -1/192 binary64) (.f64 a (*.f64 a a)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a))) (.f64 (.f64 a a) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a))))) (-.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))))) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a))))))) (+.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a))) (.f64 (.f64 a a) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a))))) (-.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))))) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a))) (.f64 (.f64 a a) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a))))) (-.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a))))))) (.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))))) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a))) (.f64 (.f64 a a) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a))))) (-.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 a a))))))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))) (-.f64 (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))) (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a))) (.f64 (.f64 a a) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a))) (.f64 (.f64 a a) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a))))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))) (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a))) (.f64 (.f64 a a) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))) (-.f64 (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 a a)))) #s(literal 1/2 binary64))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a))) (.f64 (.f64 a a) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 a a)))))))
(.f64 b (.f64 b #s(literal -1/192 binary64)))
(.f64 #s(literal -1/192 binary64) (.f64 b b))
(.f64 (.f64 b b) #s(literal -1/192 binary64))
(.f64 (.f64 b #s(literal -1/192 binary64)) b)
(+.f64 (.f64 b (.f64 b (.f64 b #s(literal -1/192 binary64)))) (.f64 b #s(literal 1/8 binary64)))
(+.f64 (.f64 b #s(literal 1/8 binary64)) (.f64 b (.f64 b (.f64 b #s(literal -1/192 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 b #s(literal 1/8 binary64)) (.f64 b #s(literal 1/8 binary64))) (-.f64 (.f64 b #s(literal 1/8 binary64)) (.f64 b (.f64 b (.f64 b #s(literal -1/192 binary64)))))) (/.f64 (.f64 (.f64 b (.f64 b (.f64 b #s(literal -1/192 binary64)))) (.f64 b (.f64 b (.f64 b #s(literal -1/192 binary64))))) (-.f64 (.f64 b #s(literal 1/8 binary64)) (.f64 b (.f64 b (.f64 b #s(literal -1/192 binary64)))))))
(fma.f64 b #s(literal 1/8 binary64) (.f64 b (.f64 b (*.f64 b #s(literal -1/192 binary64)))))
(fma.f64 b (.f64 b (.f64 b #s(literal -1/192 binary64))) (*.f64 b #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/8 binary64) b (.f64 b (.f64 b (*.f64 b #s(literal -1/192 binary64)))))
(fma.f64 #s(literal -1/192 binary64) (.f64 b (.f64 b b)) (*.f64 b #s(literal 1/8 binary64)))
(fma.f64 (.f64 b b) (.f64 b #s(literal -1/192 binary64)) (*.f64 b #s(literal 1/8 binary64)))
(fma.f64 (.f64 b (.f64 b #s(literal -1/192 binary64))) b (*.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 (+.f64 (.f64 #s(literal 1/512 binary64) (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 #s(literal -1/7077888 binary64) (.f64 b (.f64 b b)))) (.f64 b (.f64 b b)))) (+.f64 (.f64 (.f64 b #s(literal 1/8 binary64)) (.f64 b #s(literal 1/8 binary64))) (-.f64 (.f64 (.f64 b (.f64 b (.f64 b #s(literal -1/192 binary64)))) (.f64 b (.f64 b (.f64 b #s(literal -1/192 binary64))))) (.f64 (.f64 b #s(literal 1/8 binary64)) (.f64 b (.f64 b (*.f64 b #s(literal -1/192 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 b #s(literal 1/8 binary64)) (.f64 b #s(literal 1/8 binary64))) (.f64 (.f64 b (.f64 b (.f64 b #s(literal -1/192 binary64)))) (.f64 b (.f64 b (.f64 b #s(literal -1/192 binary64)))))) (-.f64 (.f64 b #s(literal 1/8 binary64)) (.f64 b (.f64 b (.f64 b #s(literal -1/192 binary64))))))
(/.f64 (.f64 b (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 #s(literal -1/7077888 binary64) (.f64 b (.f64 b b)))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 b (.f64 b #s(literal -1/192 binary64))) (-.f64 (.f64 b (.f64 b #s(literal -1/192 binary64))) #s(literal 1/8 binary64)))))
(/.f64 (.f64 b (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/36864 binary64) (.f64 (.f64 b b) (.f64 b b))))) (-.f64 #s(literal 1/8 binary64) (.f64 b (*.f64 b #s(literal -1/192 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 #s(literal -1/7077888 binary64) (.f64 b (.f64 b b))))) b) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 b (.f64 b #s(literal -1/192 binary64))) (-.f64 (.f64 b (.f64 b #s(literal -1/192 binary64))) #s(literal 1/8 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/36864 binary64) (.f64 (.f64 b b) (.f64 b b)))) b) (-.f64 #s(literal 1/8 binary64) (.f64 b (*.f64 b #s(literal -1/192 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/512 binary64) (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 #s(literal -1/7077888 binary64) (.f64 b (.f64 b b)))) (.f64 b (.f64 b b))))) (neg.f64 (+.f64 (.f64 (.f64 b #s(literal 1/8 binary64)) (.f64 b #s(literal 1/8 binary64))) (-.f64 (.f64 (.f64 b (.f64 b (.f64 b #s(literal -1/192 binary64)))) (.f64 b (.f64 b (.f64 b #s(literal -1/192 binary64))))) (.f64 (.f64 b #s(literal 1/8 binary64)) (.f64 b (.f64 b (*.f64 b #s(literal -1/192 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 b #s(literal 1/8 binary64)) (.f64 b #s(literal 1/8 binary64))) (.f64 (.f64 b (.f64 b (.f64 b #s(literal -1/192 binary64)))) (.f64 b (.f64 b (.f64 b #s(literal -1/192 binary64))))))) (neg.f64 (-.f64 (.f64 b #s(literal 1/8 binary64)) (.f64 b (.f64 b (.f64 b #s(literal -1/192 binary64)))))))
(/.f64 (neg.f64 (.f64 b (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 #s(literal -1/7077888 binary64) (.f64 b (.f64 b b))))))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 b (.f64 b #s(literal -1/192 binary64))) (-.f64 (.f64 b (.f64 b #s(literal -1/192 binary64))) #s(literal 1/8 binary64))))))
(/.f64 (neg.f64 (.f64 b (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/36864 binary64) (.f64 (.f64 b b) (.f64 b b)))))) (neg.f64 (-.f64 #s(literal 1/8 binary64) (.f64 b (*.f64 b #s(literal -1/192 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 #s(literal -1/7077888 binary64) (.f64 b (.f64 b b))))) b)) (neg.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 b (.f64 b #s(literal -1/192 binary64))) (-.f64 (.f64 b (.f64 b #s(literal -1/192 binary64))) #s(literal 1/8 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/36864 binary64) (.f64 (.f64 b b) (.f64 b b)))) b)) (neg.f64 (-.f64 #s(literal 1/8 binary64) (.f64 b (*.f64 b #s(literal -1/192 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 #s(literal -1/7077888 binary64) (.f64 b (.f64 b b)))) (.f64 b (.f64 b b))) (.f64 #s(literal 1/512 binary64) (.f64 b (.f64 b b)))) (+.f64 (.f64 (.f64 b (.f64 b (.f64 b #s(literal -1/192 binary64)))) (.f64 b (.f64 b (.f64 b #s(literal -1/192 binary64))))) (-.f64 (.f64 (.f64 b #s(literal 1/8 binary64)) (.f64 b #s(literal 1/8 binary64))) (.f64 (.f64 b (.f64 b (.f64 b #s(literal -1/192 binary64)))) (*.f64 b #s(literal 1/8 binary64))))))
(.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 b (*.f64 b #s(literal -1/192 binary64)))))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 b (*.f64 b #s(literal -1/192 binary64)))) b)
(.f64 #s(literal -1/192 binary64) (.f64 a a))
(.f64 a (.f64 #s(literal -1/192 binary64) a))
(.f64 (.f64 a a) #s(literal -1/192 binary64))
(.f64 (.f64 #s(literal -1/192 binary64) a) a)

simplify501.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

4276×	`-lowering-.f32`
4276×	`-lowering-.f64`
1630×	`fma-lowering-fma.f32`
1630×	`fma-lowering-fma.f64`
1440×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	166	1373
1	492	1290
2	1573	1279
3	5203	1274
0	8389	1274

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval60.0ms (0.5%)

Compiler: Compiled 14248 to 1277 computations (91% saved)

prune59.0ms (0.5%)

Pruning

17 alts after pruning (6 fresh and 11 done)

	Pruned	Kept	Total
New	489	3	492
Fresh	0	3	3
Picked	0	5	5
Done	0	6	6
Total	489	17	506

Accuracy

99.7%

Counts

506 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.0%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	12.5%	(/.f64 b #s(literal 2 binary64))
	12.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
✓	47.2%	(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	47.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 b b)))))))
	47.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
✓	46.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))))))
✓	46.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
✓	46.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
	4.2%	(.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)))))
	2.2%	(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))
	3.1%	(.f64 a (.f64 a #s(literal 1/8 binary64)))
	44.8%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
✓	48.0%	(log1p.f64 (exp.f64 a))
✓	46.3%	(log1p.f64 #s(literal 1 binary64))
✓	47.0%	(log.f64 (+.f64 #s(literal 2 binary64) b))
✓	44.8%	(log.f64 (+.f64 #s(literal 2 binary64) a))

Compiler

Compiled 395 to 221 computations (44.1% saved)

regimes49.0ms (0.4%)

Counts

27 → 1

Calls

Call 1

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

Calls

6 calls:

11.0ms	a
9.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
8.0ms	b
6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
99.4%	1	`a`
99.4%	1	`b`
99.4%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
99.4%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
99.4%	1	`(exp.f64 a)`
99.4%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes68.0ms (0.6%)

Counts

26 → 2

Calls

Call 1

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

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

Calls

6 calls:

30.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
11.0ms	a
8.0ms	b
6.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
6.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
99.6%	2	`a`
65.7%	2	`b`
99.2%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
99.2%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
99.6%	2	`(exp.f64 a)`
58.5%	2	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes15.0ms (0.1%)

Counts

25 → 2

Calls

Call 1

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

2 calls:

7.0ms	a
6.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
99.6%	2	`a`
99.6%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes18.0ms (0.2%)

Counts

24 → 2

Calls

Call 1

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

(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))))))))

Calls

2 calls:

9.0ms	(exp.f64 a)
7.0ms	a

Results

Accuracy	Segments	Branch
99.5%	2	`a`
99.5%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes20.0ms (0.2%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	a
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
99.5%	2	`a`
99.5%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes25.0ms (0.2%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	a
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
99.4%	2	`a`
99.4%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes12.0ms (0.1%)

Counts

20 → 2

Calls

Call 1

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

6.0ms	a
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.8%	2	`a`
98.8%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes12.0ms (0.1%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	a
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.8%	2	`a`
98.8%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes10.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

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

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:

5.0ms	a
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.7%	2	`a`
98.7%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes12.0ms (0.1%)

Counts

14 → 2

Calls

Call 1

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

Calls

2 calls:

6.0ms	(exp.f64 a)
5.0ms	a

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes9.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	b
4.0ms	a

Results

Accuracy	Segments	Branch
47.2%	1	`b`
55.1%	2	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
55.1%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
54.9%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

6 → 2

Calls

Call 1

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
54.3%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Accuracy

Total -7.7b remaining (-13.7%)

Threshold costs -7.7b (-13.7%)

Counts

5 → 1

Calls

Call 1

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

Calls

2 calls:

2.0ms	a
2.0ms	b

Results

Accuracy	Segments	Branch
12.5%	1	`b`
12.5%	1	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9761228727912834

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9761228727912834

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9761228727912834

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9761228727912834

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9761228727912834

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9761228727912834

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9761228727912834

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9761228727912834

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9761228727912834

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch34.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	-4158.0248041010145	-0.024166806239696904

Results

25.0ms	125×	1	valid
1.0ms	19×	0	valid

Compiler

Compiled 148 to 127 computations (14.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-exp: 11.0ms (58.1% of total)

ival-log: 5.0ms (26.4% of total)

ival-add: 2.0ms (10.6% of total)

backward-pass: 2.0ms (10.6% of total)

const: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	-4158.0248041010145	-0.024166806239696904

Results

23.0ms	125×	1	valid
1.0ms	19×	0	valid

Compiler

Compiled 130 to 109 computations (16.2% saved)

Precisions

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

ival-exp: 7.0ms (41.4% of total)

ival-log: 7.0ms (41.4% of total)

ival-add: 2.0ms (11.8% of total)

backward-pass: 2.0ms (11.8% of total)

const: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-4158.0248041010145	-0.024166806239696904

Results

10.0ms

144×

valid

Compiler

Compiled 130 to 109 computations (16.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-exp: 2.0ms (32.4% of total)

ival-add: 2.0ms (32.4% of total)

ival-log: 2.0ms (32.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	-4158.0248041010145	-0.024166806239696904

Results

23.0ms	127×	1	valid
1.0ms	17×	0	valid

Compiler

Compiled 112 to 100 computations (10.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-exp: 7.0ms (45.7% of total)

ival-log: 5.0ms (32.7% of total)

ival-add: 2.0ms (13.1% of total)

backward-pass: 2.0ms (13.1% of total)

const: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

40×	`+-commutative_binary64`
22×	`*-commutative_binary64`
2×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	243
1	113	243
2	115	243
3	116	243

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 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 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (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)))))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (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))))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 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 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 b b))))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 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 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))
(if (<=.f64 a #s(literal -112 binary64)) (/.f64 b #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))
(if (<=.f64 a #s(literal -146 binary64)) (/.f64 b #s(literal 2 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) b)))
(if (<=.f64 a #s(literal -1 binary64)) (/.f64 b #s(literal 2 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) a)))
(if (<=.f64 a #s(literal -105 binary64)) (/.f64 b #s(literal 2 binary64)) (log1p.f64 #s(literal 1 binary64)))
(/.f64 b #s(literal 2 binary64))

Outputs
(+.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 (exp.f64 a) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 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 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (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)))))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 (+.f64 (exp.f64 a) #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)))))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (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))))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 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))))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 (exp.f64 a) (+.f64 b #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 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 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 b b))))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 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 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 b b))))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 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 0 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 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -112 binary64)) (/.f64 b #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))
(if (<=.f64 a #s(literal -112 binary64)) (/.f64 b #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -146 binary64)) (/.f64 b #s(literal 2 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) b)))
(if (<=.f64 a #s(literal -146 binary64)) (/.f64 b #s(literal 2 binary64)) (log.f64 (+.f64 b #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -1 binary64)) (/.f64 b #s(literal 2 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) a)))
(if (<=.f64 a #s(literal -1 binary64)) (/.f64 b #s(literal 2 binary64)) (log.f64 (+.f64 a #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -105 binary64)) (/.f64 b #s(literal 2 binary64)) (log1p.f64 #s(literal 1 binary64)))
(/.f64 b #s(literal 2 binary64))

soundness1.4s (13.2%)

Rules

5828×	`+-lowering-+.f64`
5828×	`+-lowering-+.f32`
4444×	`-lowering-.f32`
4444×	`-lowering-.f64`
4232×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	20	15
2	160	15
3	1606	15
0	8928	15
0	99	528
1	290	500
2	963	500
3	3322	498
0	8680	498
0	133	842
1	427	780
2	1366	725
3	4950	725
0	8205	725
0	373	2487
1	1149	2243
2	4100	2220
0	8984	2220

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

Compiler

Compiled 734 to 437 computations (40.5% saved)

preprocess81.0ms (0.7%)

Compiler: Compiled 600 to 224 computations (62.7% saved)

analyze157.0ms (1.4%)

sample4.8s (43.4%)

preprocess15.0ms (0.1%)

explain177.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize68.0ms (0.6%)

series87.0ms (0.8%)

rewrite334.0ms (3%)

simplify278.0ms (2.5%)

eval31.0ms (0.3%)

prune36.0ms (0.3%)

simplify57.0ms (0.5%)

localize132.0ms (1.2%)

series243.0ms (2.2%)

rewrite425.0ms (3.9%)

simplify249.0ms (2.3%)

eval136.0ms (1.2%)

prune84.0ms (0.8%)

simplify7.0ms (0.1%)

localize80.0ms (0.7%)

series13.0ms (0.1%)

rewrite286.0ms (2.6%)

simplify166.0ms (1.5%)

eval55.0ms (0.5%)

prune57.0ms (0.5%)

simplify32.0ms (0.3%)

localize113.0ms (1%)

series11.0ms (0.1%)

rewrite346.0ms (3.2%)

simplify501.0ms (4.6%)

eval60.0ms (0.5%)

prune59.0ms (0.5%)

regimes49.0ms (0.4%)

regimes68.0ms (0.6%)

regimes15.0ms (0.1%)

regimes18.0ms (0.2%)

regimes20.0ms (0.2%)

regimes25.0ms (0.2%)

regimes12.0ms (0.1%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes5.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch34.0ms (0.3%)

bsearch31.0ms (0.3%)

bsearch16.0ms (0.1%)

bsearch31.0ms (0.3%)

simplify11.0ms (0.1%)

soundness1.4s (13.2%)

preprocess81.0ms (0.7%)

end0.0ms (0%)

Profiling