Metrics for Logistic regression 2

analyze199.0ms (1.8%)

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
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
75%	74.9%	25%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
75%	74.9%	25%	0.1%	0%	0%	0%	10
75%	74.9%	25%	0.1%	0%	0%	0%	11
75%	74.9%	25%	0.1%	0%	0%	0%	12

Compiler

Compiled 12 to 9 computations (25% saved)

Precisions

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

ival-log: 9.0ms (24.5% of total)

ival-exp: 8.0ms (21.8% of total)

ival-mult: 7.0ms (19% of total)

ival-add: 6.0ms (16.3% of total)

ival-sub: 5.0ms (13.6% of total)

const: 1.0ms (2.7% of total)

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

sample4.9s (44.8%)

Results

3.2s	2654×	5	exit
903.0ms	7615×	0	valid
161.0ms	641×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 3.4s

ival-log: 1.6s (46.7% of total)

ival-sub: 443.0ms (12.9% of total)

backward-pass: 424.0ms (12.3% of total)

ival-add: 387.0ms (11.3% of total)

ival-mult: 322.0ms (9.4% of total)

ival-exp: 235.0ms (6.8% of total)

const: 20.0ms (0.6% of total)

Bogosity

preprocess69.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

188×	`fma-define`
147×	`fma-neg`
44×	`cancel-sign-sub-inv`
36×	`sub-neg`
34×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	234
1	73	226
2	129	210
3	282	210
4	434	210
5	622	210
6	763	210
7	877	210
8	905	210
9	907	210

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x (neg.f64 y)))
(neg.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y)))
(neg.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x (neg.f64 y))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 y))) (*.f64 y x))

Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y))
(+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y))
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 (neg.f64 x))))
(fma.f64 x y (log1p.f64 (exp.f64 (neg.f64 x))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(neg.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y)))
(neg.f64 (+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y)))
(neg.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x (neg.f64 y))))
(neg.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 y))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 y)))

explain243.0ms (2.2%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
2	-	-	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`
0	-	-	`x`
0	-	-	`(*.f64 x y)`
0	-	-	`(exp.f64 x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`y`
0	-	-	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`
0	-	-	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Results

107.0ms	140×	2	valid
85.0ms	352×	0	valid
6.0ms	20×	1	valid

Compiler

Compiled 69 to 26 computations (62.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-log: 80.0ms (50.3% of total)

ival-mult: 57.0ms (35.8% of total)

ival-add: 6.0ms (3.8% of total)

backward-pass: 6.0ms (3.8% of total)

ival-sub: 5.0ms (3.1% of total)

ival-exp: 4.0ms (2.5% of total)

const: 1.0ms (0.6% of total)

eval0.0ms (0%)

Compiler: Compiled 16 to 8 computations (50% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(log1p.f64 (exp.f64 x))
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	6336	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(log1p.f64 (exp.f64 x))
✓	cost-diff	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Rules

101×	`fma-define`
56×	`fma-neg`
21×	`cancel-sign-sub-inv`
18×	`sub-neg`
15×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	137
1	30	137
2	47	137
3	65	137
4	88	137
5	120	137
6	172	137
7	233	137
8	291	137
9	354	137
10	408	137
11	423	137

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(*.f64 x y)
y
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
x
(neg.f64 y)
y
(log1p.f64 (exp.f64 x))
(exp.f64 x)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(*.f64 x y)
y
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
x
(neg.f64 y)
y
(log1p.f64 (exp.f64 x))
(exp.f64 x)

localize186.0ms (1.7%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
✓	accuracy	99.6%	(log1p.f64 (exp.f64 x))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	accuracy	99.6%	(log1p.f64 (exp.f64 x))

Results

174.0ms

256×

valid

Compiler

Compiled 36 to 9 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

ival-log1p: 150.0ms (93.2% of total)

ival-fma: 3.0ms (1.9% of total)

ival-exp: 2.0ms (1.2% of total)

ival-mult: 2.0ms (1.2% of total)

ival-sub: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

const: 0.0ms (0% of total)

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

series86.0ms (0.8%)

Counts

6 → 76

Calls

Call 1

Inputs
#<alt (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))>
#<alt (log1p.f64 (exp.f64 x))>
#<alt (exp.f64 x)>
#<alt (*.f64 x y)>
#<alt (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))>
#<alt (neg.f64 y)>

Outputs
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))) y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (.f64 #s(literal -1 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (.f64 #s(literal -1 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (.f64 #s(literal -1 binary64) y))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (.f64 #s(literal -1 binary64) x))))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) y))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/8 binary64) x)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>

Calls

27 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	(log (+ 1 (exp x)))
24.0ms	y	@	0	(- (log (+ 1 (exp x))) (* x y))
20.0ms	x	@	-inf	(log (+ 1 (exp x)))
5.0ms	x	@	inf	(- (log (+ 1 (exp x))) (* x y))
3.0ms	x	@	-inf	(- (log (+ 1 (exp x))) (* x y))

rewrite376.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`prod-diff`
636×	`log1p-expm1-u`
636×	`expm1-log1p-u`
343×	`log-prod`
237×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	101
1	181	89
2	2466	89

Stop Event

1×	node limit

Counts

6 → 424

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
(*.f64 x y)
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(neg.f64 y)

Outputs
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 y x (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (neg.f64 x)) y (*.f64 x y)))
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(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (.f64 (.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (.f64 (.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (.f64 (.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (.f64 (.f64 x y) #s(literal -1 binary64)))) (fma.f64 (.f64 x y) #s(literal -1 binary64) (.f64 (*.f64 x y) #s(literal -1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (.f64 (cbrt.f64 (.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64))) (.f64 (cbrt.f64 (.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (.f64 (cbrt.f64 y) (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (.f64 (sqrt.f64 y) (.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (.f64 x (sqrt.f64 y)) (.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (.f64 (cbrt.f64 x) (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (.f64 (sqrt.f64 x) (.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (.f64 y (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (.f64 y (.f64 (neg.f64 x) #s(literal 1 binary64))))) (fma.f64 y (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (.f64 (cbrt.f64 y) (.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (.f64 (sqrt.f64 y) (.f64 (neg.f64 x) (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (.f64 (neg.f64 x) (sqrt.f64 y)) (.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (.f64 y (.f64 x #s(literal -1 binary64))))) (fma.f64 y (.f64 x #s(literal -1 binary64)) (.f64 y (*.f64 x #s(literal -1 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) (cbrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 1 binary64))
(*.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
(.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))
(pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(log.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x y)))))
(log.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x y))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(log.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y))))
(cbrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(hypot.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y)))) (log.f64 (cbrt.f64 (exp.f64 y))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 y))) (log.f64 (sqrt.f64 (exp.f64 y))))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 y (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 y (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 y)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64)))

simplify403.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

406×	`distribute-lft-neg-in`
395×	`distribute-rgt-neg-in`
353×	`fma-define`
276×	`associate-r`
256×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	713	15812
1	1594	14974
2	5014	14909

Stop Event

1×	node limit

Counts

500 → 367

Calls

Call 1

Inputs
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))) y)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (.f64 #s(literal -1 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (.f64 #s(literal -1 binary64) x))))
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(log.f64 #s(literal 2 binary64))
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(*.f64 y (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 y)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64)))

Outputs
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))) y))))
(fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (.f64 #s(literal -1 binary64) y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (.f64 #s(literal -1 binary64) y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (.f64 #s(literal -1 binary64) y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (.f64 #s(literal -1 binary64) x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (.f64 #s(literal -1 binary64) x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (.f64 #s(literal -1 binary64) x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) y))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/8 binary64) x)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))) y))))
(fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 y x (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 x y (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 #s(literal 2 binary64) (.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (neg.f64 x)) y (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 x y (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 #s(literal 2 binary64) (.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (.f64 x y)) (*.f64 x y)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 x y)))) (sqrt.f64 (.f64 x y)) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 x y (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 #s(literal 2 binary64) (.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 x y)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 y (neg.f64 x) (*.f64 x y)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (neg.f64 (sqrt.f64 (.f64 x y))) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 x y (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 #s(literal 2 binary64) (.f64 x y)))
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 #s(literal 0 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64) (neg.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (.f64 x y)))) (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
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(.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(/.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (.f64 (.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x y) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (.f64 (.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x y) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))
(pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 1 binary64))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(pow.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(pow.f64 (/.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))
(pow.f64 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(sqrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x y)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) y)))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x y))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) y)))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) y)))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(hypot.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(hypot.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) #s(literal 1 binary64)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) #s(literal 3 binary64)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) #s(literal 1/3 binary64)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) #s(literal 2 binary64)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 #s(literal 0 binary64) y)
y
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y)))) (log.f64 (cbrt.f64 (exp.f64 y))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 y))) (log.f64 (sqrt.f64 (exp.f64 y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 y))))
(-.f64 #s(literal 0 binary64) y)
(neg.f64 y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 y))
(*.f64 y #s(literal 1 binary64))
y
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
(*.f64 y (log.f64 (exp.f64 #s(literal 1 binary64))))
y
(*.f64 y (log.f64 (exp.f64 #s(literal -1 binary64))))
(neg.f64 y)
(*.f64 #s(literal 1 binary64) y)
y
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
y
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
y
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(neg.f64 y)
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
y
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(neg.f64 y)
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(neg.f64 y)
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(neg.f64 y)
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(neg.f64 y)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(neg.f64 y)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(neg.f64 y)
(pow.f64 y #s(literal 1 binary64))
y
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
y
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
y
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
y
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
y
(log.f64 (exp.f64 y))
y
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
y
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(neg.f64 y)
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
y
(exp.f64 (log.f64 y))
y
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
y
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
y
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 y)) #s(literal 1/3 binary64)))
y
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64)))
y

eval74.0ms (0.7%)

Compiler: Compiled 7540 to 1059 computations (86% saved)

prune149.0ms (1.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	435	7	442
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	437	7	444

Accuracy

100.0%

Counts

444 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.0%	(fma.f64 x (neg.f64 y) (log1p.f64 #s(literal 1 binary64)))
▶	91.0%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
	78.4%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y)))
▶	85.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
▶	99.6%	(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
▶	46.9%	(*.f64 x (neg.f64 y))
▶	54.2%	(log.f64 #s(literal 2 binary64))

Compiler

Compiled 122 to 92 computations (24.6% saved)

simplify327.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
✓	cost-diff	0	(-.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(log1p.f64 #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(*.f64 x (neg.f64 y))
	cost-diff	0	(log1p.f64 (exp.f64 x))
✓	cost-diff	0	(/.f64 (log1p.f64 (exp.f64 x)) y)
✓	cost-diff	0	(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
✓	cost-diff	128	(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))

Rules

1548×	`associate-/l/`
1135×	`fma-define`
963×	`fma-neg`
563×	`associate-*r/`
498×	`associate-*l/`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	25	280
1	49	276
2	74	276
3	135	276
4	215	273
5	330	267
6	613	267
7	1080	267
8	2510	267
9	3888	267
10	4371	267
11	4739	267
12	4839	267
13	4865	267
14	6120	267
15	6722	267
16	7526	267
17	7830	267
18	7944	267
19	7982	267
20	7982	267
21	7982	267

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
y
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(*.f64 x (neg.f64 y))
x
(neg.f64 y)
y
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(log1p.f64 #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x y)
x
y
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
x
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y

Outputs
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(fma.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
y
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
x
(neg.f64 y)
y
(log.f64 #s(literal 2 binary64))
(log1p.f64 #s(literal 1 binary64))
#s(literal 2 binary64)
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 y x))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(fma.f64 y (neg.f64 x) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y x))
(log1p.f64 #s(literal 1 binary64))
(log.f64 #s(literal 2 binary64))
#s(literal 1 binary64)
(*.f64 x y)
(*.f64 y x)
x
y
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
(log1p.f64 #s(literal 1 binary64))
#s(literal 2 binary64)
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
x
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y

localize87.0ms (0.8%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(log1p.f64 #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x (neg.f64 y))
	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
✓	accuracy	99.8%	(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
✓	accuracy	99.7%	(/.f64 (log1p.f64 (exp.f64 x)) y)
	accuracy	99.6%	(log1p.f64 (exp.f64 x))

Results

58.0ms

256×

valid

Compiler

Compiled 78 to 20 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 8.0ms (25.1% of total)

ival-sub: 8.0ms (25.1% of total)

ival-log1p: 6.0ms (18.8% of total)

ival-log: 3.0ms (9.4% of total)

ival-div: 2.0ms (6.3% of total)

ival-exp: 2.0ms (6.3% of total)

ival-add: 1.0ms (3.1% of total)

const: 1.0ms (3.1% of total)

ival-neg: 1.0ms (3.1% of total)

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

series64.0ms (0.6%)

Counts

10 → 165

Calls

Call 1

Inputs
#<alt (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))>
#<alt (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)>
#<alt (/.f64 (log1p.f64 (exp.f64 x)) y)>
#<alt (*.f64 x (neg.f64 y))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))>
#<alt (log1p.f64 #s(literal 1 binary64))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (-.f64 #s(literal 1/2 binary64) y)>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))>

Outputs
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))))>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) y)>
#<alt (+.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) y))>
#<alt (+.f64 (.f64 x (-.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) y))>
#<alt (+.f64 (.f64 x (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (.f64 x (+.f64 (.f64 #s(literal -1/192 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y))))) #s(literal 1 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)))>
#<alt (.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)))>
#<alt (.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y))))))>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)>
#<alt (/.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y))) y)>
#<alt (/.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y))) y)>
#<alt (/.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y))) y)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x)>
#<alt (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x)>
#<alt (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x)>
#<alt (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x)>
#<alt (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) y)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))>
#<alt (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (/.f64 (log.f64 #s(literal 2 binary64)) y))>
#<alt (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal -1/192 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (/.f64 (log.f64 #s(literal 2 binary64)) y))>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)>
#<alt (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))>
#<alt (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))>
#<alt (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x)) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x)) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x)) y)))))>

Calls

45 calls:

Time	Variable		Point	Expression
20.0ms	x	@	0	(- (log (+ 1 1)) (* x y))
11.0ms	y	@	inf	(/ (log (+ 1 (exp x))) y)
10.0ms	y	@	0	(/ (log (+ 1 (exp x))) y)
3.0ms	y	@	0	(* y (- (/ (log (+ 1 (exp x))) y) x))
1.0ms	y	@	0	(- (log (+ 1 1)) (* x y))

rewrite192.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1101×	`log1p-expm1-u`
628×	`expm1-log1p-u`
166×	`add-cube-cbrt`
164×	`add-exp-log`
164×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	198
1	371	190
2	5369	190

Stop Event

1×	node limit

Counts

10 → 261

Calls

Call 1

Inputs
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(*.f64 x (neg.f64 y))
(log.f64 #s(literal 2 binary64))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(log1p.f64 #s(literal 1 binary64))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(-.f64 #s(literal 1/2 binary64) y)
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))

Outputs
(+.f64 (.f64 y (/.f64 (log1p.f64 (exp.f64 x)) y)) (.f64 y x))
(+.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) y) (.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))) #s(literal 1 binary64))
(/.f64 (.f64 y (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (.f64 x (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (.f64 x (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) y) (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)))
(pow.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))))
(exp.f64 (log.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))))
(exp.f64 (.f64 (log.f64 (.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) #s(literal 1 binary64)))
(+.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) (neg.f64 x))
(+.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (neg.f64 x) (/.f64 (log1p.f64 (exp.f64 x)) y))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 (cbrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
(*.f64 (sqrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (sqrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
(.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (.f64 x (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)))) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) (neg.f64 x)))
(pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
(exp.f64 (log.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #s(literal 1 binary64)))
(fma.f64 (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) y) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (exp.f64 x)) y) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)) (neg.f64 x))
(fma.f64 (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)) (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)) (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (exp.f64 x)) y))) #s(literal 1 binary64))
(*.f64 (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (exp.f64 x)) y))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) y))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (/.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) y))
(.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)) (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)))
(*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (log1p.f64 (exp.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) y))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 y)))
(pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (log1p.f64 (exp.f64 x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (log1p.f64 (exp.f64 x)) y))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log1p.f64 (exp.f64 x)) y))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)))
(exp.f64 (log.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(neg.f64 (*.f64 y x))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 #s(literal 1 binary64)))
(*.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) (sqrt.f64 (log1p.f64 #s(literal 1 binary64))))
(pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 #s(literal 1 binary64))))
(log1p.f64 #s(literal 1 binary64))
(exp.f64 (log.f64 (log1p.f64 #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 y x) (log1p.f64 #s(literal 1 binary64)))
(+.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 y x))
(+.f64 (+.f64 (.f64 y x) (log1p.f64 #s(literal 1 binary64))) (fma.f64 (neg.f64 x) y (.f64 y x)))
(+.f64 (+.f64 (.f64 y x) (log1p.f64 #s(literal 1 binary64))) (fma.f64 y x (.f64 y x)))
(+.f64 (+.f64 (.f64 y x) (log1p.f64 #s(literal 1 binary64))) (fma.f64 (.f64 y x) #s(literal 1 binary64) (*.f64 y x)))
(+.f64 (+.f64 (.f64 y x) (log1p.f64 #s(literal 1 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y x))) (pow.f64 (cbrt.f64 (.f64 y x)) #s(literal 2 binary64)) (.f64 y x)))
(+.f64 (+.f64 (.f64 y x) (log1p.f64 #s(literal 1 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)) (.f64 y x)))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 y x) (log1p.f64 #s(literal 1 binary64))))
(.f64 (+.f64 (.f64 y x) (log1p.f64 #s(literal 1 binary64))) #s(literal 1 binary64))
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simplify188.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

754×	`fma-neg`
489×	`distribute-lft-neg-in`
407×	`fma-define`
278×	`associate-r`
258×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	621	12931
1	1487	12308
2	5200	12264

Stop Event

1×	node limit

Counts

426 → 400

Calls

Call 1

Inputs
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(+.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) y))
(+.f64 (.f64 x (-.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) y))
(+.f64 (.f64 x (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (.f64 x (+.f64 (.f64 #s(literal -1/192 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y))))) #s(literal 1 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) y))
(*.f64 #s(literal -1 binary64) x)
(.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)))
(.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)))
(.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y))))))
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)
(/.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y))) y)
(/.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y))) y)
(/.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y))) y)
(*.f64 #s(literal -1 binary64) x)
(-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x)
(-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x)
(-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x)
(*.f64 #s(literal -1 binary64) x)
(-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x)
(-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x)
(-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x)
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))
(+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (/.f64 (log.f64 #s(literal 2 binary64)) y))
(+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal -1/192 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (/.f64 (log.f64 #s(literal 2 binary64)) y))
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
(.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(log.f64 #s(literal 2 binary64))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x)) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x)) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x)) y)))))
(+.f64 (.f64 y (/.f64 (log1p.f64 (exp.f64 x)) y)) (.f64 y x))
(+.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) y) (.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))) #s(literal 1 binary64))
(/.f64 (.f64 y (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (.f64 x (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (.f64 x (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) y) (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)))
(pow.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))))
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(pow.f64 (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 #s(literal 1 binary64))))
(exp.f64 (log.f64 (log1p.f64 #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 y #s(literal 1/2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) x) (+.f64 y #s(literal 1/2 binary64)))
(pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 y #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 y #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))))
(.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 y #s(literal 1/2 binary64))))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 y (+.f64 y #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 y (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 y #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 y (+.f64 y #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 y #s(literal 1/2 binary64))))
(pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (+.f64 y #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (+.f64 y #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64))))
(*.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))))
(.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (log1p.f64 #s(literal 1 binary64)))))))
(.f64 (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (log1p.f64 #s(literal 1 binary64))))) (+.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64)))) (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (log1p.f64 #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (log1p.f64 #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (log1p.f64 #s(literal 1 binary64))))
(pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 x) (+.f64 y #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 #s(literal 1 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x (log1p.f64 #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64)))) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64)))) (log1p.f64 #s(literal 1 binary64)))

Outputs
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 (*.f64 y (neg.f64 x)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 (*.f64 y (neg.f64 x)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 (*.f64 y (neg.f64 x)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))
(+.f64 (*.f64 y (neg.f64 x)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))
(+.f64 (*.f64 y (neg.f64 x)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))
(+.f64 (*.f64 y (neg.f64 x)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))
(+.f64 (*.f64 y (neg.f64 x)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))
(+.f64 (*.f64 y (neg.f64 x)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)))))
(+.f64 (*.f64 y (neg.f64 x)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))))
(+.f64 (.f64 (.f64 x y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))))))
(+.f64 (.f64 x (fma.f64 #s(literal 1/8 binary64) x (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))))) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))))))
(+.f64 (.f64 x (fma.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))))) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) (log.f64 #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 (log1p.f64 (exp.f64 x)) x)))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 (log1p.f64 (exp.f64 x)) x)))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (log1p.f64 #s(literal 1 binary64))))) (+.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64)))) (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (log1p.f64 #s(literal 1 binary64))))))
(/.f64 (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal -1/2 binary64) y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (log1p.f64 #s(literal 1 binary64)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 (log.f64 #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (log1p.f64 #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))) #s(literal 3 binary64))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))) #s(literal 2 binary64))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 x) (+.f64 y #s(literal 1/2 binary64)))))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64))))))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64))) #s(literal 3 binary64)))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 #s(literal 1 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x (log1p.f64 #s(literal 1 binary64)))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64)))) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64)))) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))

eval63.0ms (0.6%)

Compiler: Compiled 6902 to 1489 computations (78.4% saved)

prune115.0ms (1.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	518	4	522
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	521	8	529

Accuracy

100.0%

Counts

529 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.0%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
▶	54.9%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
▶	78.4%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y)))
▶	91.0%	(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
▶	91.0%	(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
✓	46.9%	(*.f64 x (neg.f64 y))
▶	2.5%	(*.f64 x y)
✓	54.2%	(log.f64 #s(literal 2 binary64))

Compiler

Compiled 112 to 84 computations (25% saved)

simplify111.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)
✓	cost-diff	-6272	(.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y))
✓	cost-diff	0	(*.f64 #s(literal 1/8 binary64) x)
	cost-diff	0	(log.f64 #s(literal 2 binary64))
	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (log.f64 #s(literal 2 binary64)) y)
✓	cost-diff	0	(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)
✓	cost-diff	128	(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
✓	cost-diff	-6272	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
	cost-diff	0	(*.f64 x y)
	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (log.f64 #s(literal 2 binary64)) x)
✓	cost-diff	0	(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
✓	cost-diff	128	(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))

Rules

598×	`fma-neg`
522×	`div-sub`
356×	`sub-neg`
354×	`fma-define`
321×	`distribute-lft-neg-in`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	26	369
1	44	349
2	86	349
3	183	349
4	335	343
5	567	331
6	1010	331
7	2164	331
8	5263	331
9	7604	331

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
x
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
y
(*.f64 x y)
x
y
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
y
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y))
x
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
y

Outputs
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x y))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
x
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
y
(*.f64 x y)
x
y
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x y))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
y
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) y)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y))
(.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) y))
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y)))
x
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y)
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
(fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y))
(-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
y

localize128.0ms (1.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 1/8 binary64) x)
	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y)))
✓	accuracy	100.0%	(.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y))
	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)
✓	accuracy	99.8%	(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
✓	accuracy	99.6%	(/.f64 (log.f64 #s(literal 2 binary64)) y)
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
	accuracy	100.0%	(*.f64 x y)
	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
✓	accuracy	99.8%	(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
✓	accuracy	99.7%	(/.f64 (log.f64 #s(literal 2 binary64)) x)

Results

83.0ms

256×

valid

Compiler

Compiled 111 to 21 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 10.0ms (37.2% of total)

ival-div: 4.0ms (14.9% of total)

ival-sub: 4.0ms (14.9% of total)

ival-log: 4.0ms (14.9% of total)

ival-add: 4.0ms (14.9% of total)

const: 1.0ms (3.7% of total)

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

series52.0ms (0.5%)

Counts

12 → 172

Calls

Call 1

Inputs
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))>
#<alt (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))>
#<alt (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) y)>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y))>
#<alt (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y)))>

Outputs
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y))) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y))) x)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y))) x)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)) #s(literal 1 binary64)))>
#<alt (.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)) #s(literal 1 binary64)))>
#<alt (.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) y)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y))) y)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y))) y)>
#<alt (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y))) y)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (/.f64 (log.f64 #s(literal 2 binary64)) y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)) #s(literal 1 binary64)))>
#<alt (.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)) #s(literal 1 binary64)))>
#<alt (.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))))))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))) y)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))) y)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))) y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y)))))>
#<alt (-.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (.f64 x (-.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (.f64 x (-.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (.f64 x (-.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/8 binary64) x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/8 binary64) x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/8 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (.f64 y (-.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))>
#<alt (.f64 y (-.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))>
#<alt (.f64 y (-.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y)))))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (/.f64 y x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (/.f64 y x)))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))) y))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))) y))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))) y)))))>

Calls

57 calls:

Time	Variable		Point	Expression
9.0ms	x	@	0	(/ (log 2) x)
4.0ms	y	@	0	(/ (log 2) y)
4.0ms	x	@	inf	(/ (log 2) x)
3.0ms	y	@	inf	(* y (- (/ (log 2) y) x))
2.0ms	y	@	inf	(/ (log 2) y)

rewrite236.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1037×	`log1p-expm1-u`
197×	`expm1-log1p-u`
194×	`add-cube-cbrt`
191×	`add-exp-log`
191×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	277
1	403	261
2	6458	261

Stop Event

1×	node limit

Counts

12 → 353

Calls

Call 1

Inputs
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(*.f64 x #s(literal 1/2 binary64))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(*.f64 #s(literal 1/8 binary64) x)
(.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y))
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y)))

Outputs
(+.f64 (.f64 x (/.f64 (log1p.f64 #s(literal 1 binary64)) x)) (.f64 x (neg.f64 y)))
(+.f64 (.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) x) (.f64 (neg.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)))) #s(literal 1 binary64))
(/.f64 (.f64 x (-.f64 (pow.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 y (+.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 (pow.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 y (+.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) x) (+.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))
(pow.f64 (*.f64 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))) #s(literal 1 binary64)))
(+.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) (neg.f64 y))
(+.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(+.f64 (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(+.f64 (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (neg.f64 y) (/.f64 (log1p.f64 #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))
(*.f64 (cbrt.f64 (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)))
(*.f64 (sqrt.f64 (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)) (sqrt.f64 (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)))
(.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 y (+.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)))))
(*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x)) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))) (-.f64 (pow.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y) (-.f64 (pow.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 y (+.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 y) (neg.f64 y)) (.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) (neg.f64 y)))
(pow.f64 (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)))
(exp.f64 (log.f64 (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)) #s(literal 1 binary64)))
(fma.f64 (log1p.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (neg.f64 y))
(fma.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 #s(literal 1 binary64)) x) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x)) (neg.f64 y))
(fma.f64 (sqrt.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x)) (sqrt.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x)) (neg.f64 y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x))) #s(literal 1 binary64))
(*.f64 (log1p.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 #s(literal 1 binary64)) x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) x))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x)))
(*.f64 (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) (/.f64 (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) x))
(.f64 (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) (.f64 (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x)) (sqrt.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x)))
(*.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (log1p.f64 #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) x))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (log1p.f64 #s(literal 1 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (log1p.f64 #s(literal 1 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) (cbrt.f64 x)))
(pow.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x)) #s(literal 3 binary64))
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(.f64 (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (-.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (log1p.f64 #s(literal 1 binary64))))) (+.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))) (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (-.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (log1p.f64 #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64))) (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (-.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (log1p.f64 #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (log1p.f64 #s(literal 1 binary64))))
(pow.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 x) (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64)))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) x (log1p.f64 #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 #s(literal 1 binary64)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))) (sqrt.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))) (log1p.f64 #s(literal 1 binary64)))

simplify322.0ms (3%)

Algorithm

1×	egg-herbie

Rules

339×	`fma-define`
305×	`associate-l`
292×	`associate-r`
253×	`exp-prod`
249×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	845	18011
1	1949	17275
2	6643	17275

Stop Event

1×	node limit

Counts

525 → 546

Calls

Call 1

Inputs
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y))) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y))) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y))) x)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(*.f64 #s(literal -1 binary64) y)
(.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)) #s(literal 1 binary64)))
(.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)) #s(literal 1 binary64)))
(.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y))) y)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y))) y)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y))) y)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y))
(+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y))
(+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y))
(*.f64 #s(literal -1 binary64) x)
(.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)) #s(literal 1 binary64)))
(.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)) #s(literal 1 binary64)))
(.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64)))))
(.f64 (+.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (-.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (log1p.f64 #s(literal 1 binary64)))))))
(.f64 (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (-.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (log1p.f64 #s(literal 1 binary64))))) (+.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))) (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (-.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (log1p.f64 #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64))) (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (-.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (log1p.f64 #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (log1p.f64 #s(literal 1 binary64))))
(pow.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 x) (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64)))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) x (log1p.f64 #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 #s(literal 1 binary64)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))) (sqrt.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))) (log1p.f64 #s(literal 1 binary64)))

Outputs
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 (neg.f64 x) (+.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 x))))
(*.f64 (-.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 (neg.f64 x) (+.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 x))))
(*.f64 (-.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 (neg.f64 x) (+.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 x))))
(*.f64 (-.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x)) (neg.f64 x))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(*.f64 (neg.f64 y) (+.f64 x (neg.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y))))
(*.f64 (-.f64 x (/.f64 (log.f64 #s(literal 2 binary64)) y)) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(*.f64 (neg.f64 y) (+.f64 x (neg.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y))))
(*.f64 (-.f64 x (/.f64 (log.f64 #s(literal 2 binary64)) y)) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(*.f64 (neg.f64 y) (+.f64 x (neg.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y))))
(*.f64 (-.f64 x (/.f64 (log.f64 #s(literal 2 binary64)) y)) (neg.f64 y))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y))) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y))) x)
(/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y))) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y))) x)
(/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y))) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y))) x)
(/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) x)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)) #s(literal 1 binary64)))
(.f64 y (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)) #s(literal -1 binary64)))
(.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))))
(.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)) #s(literal 1 binary64)))
(.f64 y (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)) #s(literal -1 binary64)))
(.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))))
(.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)) #s(literal 1 binary64)))
(.f64 y (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)) #s(literal -1 binary64)))
(.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))))
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))))))
(.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))))))
(.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))))))
(.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))) (neg.f64 y))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
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(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(exp.f64 (log.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) x (log1p.f64 #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 #s(literal 1 binary64)) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))) (sqrt.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))

eval84.0ms (0.8%)

Compiler: Compiled 9502 to 1889 computations (80.1% saved)

prune156.0ms (1.4%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	639	1	640
Fresh	0	0	0
Picked	1	4	5
Done	0	3	3
Total	640	8	648

Accuracy

100.0%

Counts

648 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.0%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
✓	54.9%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
▶	57.9%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))
✓	91.0%	(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
✓	91.0%	(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
✓	46.9%	(*.f64 x (neg.f64 y))
✓	2.5%	(*.f64 x y)
✓	54.2%	(log.f64 #s(literal 2 binary64))

Compiler

Compiled 63 to 48 computations (23.8% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
✓	cost-diff	-6272	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)))
	cost-diff	0	(*.f64 #s(literal 1/8 binary64) x)
	cost-diff	0	(log.f64 #s(literal 2 binary64))

Rules

22×	`fma-define`
7×	`+-commutative`
3×	`associate-+r+`
3×	`*-commutative`
3×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	98
1	24	82
2	49	82
3	65	82
4	71	82

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)))
x
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)

Outputs
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
x
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)

localize34.0ms (0.3%)

Localize:

Found 4 expressions of interest:

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

Results

22.0ms

256×

valid

Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 4.0ms (38.4% of total)

ival-log: 3.0ms (28.8% of total)

ival-add: 3.0ms (28.8% of total)

const: 1.0ms (9.6% of total)

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

series5.0ms (0%)

Counts

3 → 28

Calls

Call 1

Inputs

#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))>

#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))>

#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))>

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal 1/2 binary64)>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) x))))>

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* x (+ 1/2 (* 1/8 x)))
0.0ms	x	@	inf	(* x (+ 1/2 (* 1/8 x)))
0.0ms	x	@	0	(* x (+ 1/2 (* 1/8 x)))
0.0ms	x	@	-inf	(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
0.0ms	x	@	inf	(+ (log 2) (* x (+ 1/2 (* 1/8 x))))

rewrite132.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

849×	`log1p-expm1-u`
849×	`expm1-log1p-u`
396×	`log-prod`
373×	`fma-define`
164×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	76
1	156	60
2	2349	60

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

Inputs

(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))

(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))

(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))

Outputs
(+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) #s(literal 1/8 binary64))) (fma.f64 (.f64 x #s(literal 1/8 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) x) (fma.f64 (.f64 x #s(literal 1/8 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))
(pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(log.f64 (.f64 (exp.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
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(pow.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64))
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(log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(log.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 #s(literal 2 binary64)))

simplify160.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

370×	`distribute-lft-in`
353×	`distribute-rgt-in`
333×	`div-sub`
275×	`times-frac`
269×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	381	7370
1	848	7232
2	2340	5729
3	7073	5729

Stop Event

1×	node limit

Counts

194 → 205

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/8 binary64) x)
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/8 binary64) x)
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) x))))
(+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) #s(literal 1/8 binary64))) (fma.f64 (.f64 x #s(literal 1/8 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) x) (fma.f64 (.f64 x #s(literal 1/8 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))
(pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(log.f64 (.f64 (exp.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 x (.f64 x #s(literal 1/8 binary64)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x #s(literal 1/8 binary64)) x (.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) (.f64 (cbrt.f64 (.f64 x #s(literal 1/8 binary64))) x) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (.f64 x #s(literal 1/8 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/8 binary64))) (.f64 (sqrt.f64 (.f64 x #s(literal 1/8 binary64))) x) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x #s(literal 1/8 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
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(fma.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 #s(literal 2 binary64)))

Outputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 x #s(literal 1/8 binary64))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 x #s(literal 1/8 binary64))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)))
(+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (.f64 #s(literal 1/512 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 #s(literal 1/512 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 x #s(literal -1/16 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (*.f64 x #s(literal 1/8 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) #s(literal 1/8 binary64))) (fma.f64 (.f64 x #s(literal 1/8 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 x #s(literal 1/8 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
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(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (log.f64 #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (log.f64 #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (log.f64 #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))

eval30.0ms (0.3%)

Compiler: Compiled 3742 to 731 computations (80.5% saved)

prune267.0ms (2.5%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	235	0	235
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	235	8	243

Accuracy

100.0%

Counts

243 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.0%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
✓	54.9%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	57.9%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))
✓	91.0%	(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
✓	91.0%	(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
✓	46.9%	(*.f64 x (neg.f64 y))
✓	2.5%	(*.f64 x y)
✓	54.2%	(log.f64 #s(literal 2 binary64))

Compiler

Compiled 170 to 89 computations (47.6% saved)

regimes16.0ms (0.1%)

Counts

15 → 1

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 x (neg.f64 y))
(log.f64 #s(literal 2 binary64))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y)))
(fma.f64 x (neg.f64 y) (log1p.f64 #s(literal 1 binary64)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))

Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))

Calls

3 calls:

6.0ms	y
5.0ms	x
4.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes134.0ms (1.2%)

Counts

14 → 1

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 x (neg.f64 y))
(log.f64 #s(literal 2 binary64))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y)))
(fma.f64 x (neg.f64 y) (log1p.f64 #s(literal 1 binary64)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Calls

3 calls:

124.0ms	y
5.0ms	x
4.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes9.0ms (0.1%)

Counts

11 → 2

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 x (neg.f64 y))
(log.f64 #s(literal 2 binary64))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y)))
(fma.f64 x (neg.f64 y) (log1p.f64 #s(literal 1 binary64)))

Outputs
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y)))

Calls

2 calls:

4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
100.0%	2	`x`
91.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes65.0ms (0.6%)

Counts

9 → 2

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 x (neg.f64 y))
(log.f64 #s(literal 2 binary64))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))

Outputs
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))

Calls

1 calls:

65.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

7 → 2

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 x (neg.f64 y))
(log.f64 #s(literal 2 binary64))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))

Outputs
(*.f64 x (neg.f64 y))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts

4 → 2

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 x (neg.f64 y))
(log.f64 #s(literal 2 binary64))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))

Outputs
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
72.3%	3	`y`
85.1%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 x (neg.f64 y))
(log.f64 #s(literal 2 binary64))

Outputs
(*.f64 x (neg.f64 y))
(log.f64 #s(literal 2 binary64))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
84.4%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes72.0ms (0.7%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 x (neg.f64 y))

Outputs
(*.f64 x (neg.f64 y))

Calls

2 calls:

70.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
46.9%	1	`y`
46.9%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x y)

Outputs
(*.f64 x y)

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
2.5%	1	`x`
2.5%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch94.0ms (0.9%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
92.0ms	-97.5265895151056	-0.0001088330269226204

Results

80.0ms	102×	0	valid
7.0ms	42×	1	valid

Compiler

Compiled 214 to 165 computations (22.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-exp: 74.0ms (90.4% of total)

ival-log: 3.0ms (3.7% of total)

ival-sub: 1.0ms (1.2% of total)

ival-add: 1.0ms (1.2% of total)

ival-mult: 1.0ms (1.2% of total)

backward-pass: 1.0ms (1.2% of total)

const: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-97.5265895151056	-0.0001088330269226204

Results

10.0ms

144×

valid

Compiler

Compiled 178 to 138 computations (22.5% saved)

Precisions

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

ival-exp: 2.0ms (32% of total)

ival-log: 2.0ms (32% of total)

ival-sub: 1.0ms (16% of total)

ival-add: 1.0ms (16% of total)

ival-mult: 1.0ms (16% of total)

const: 0.0ms (0% of total)

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

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-97.5265895151056	-0.0001088330269226204

Results

9.0ms	110×	0	valid
6.0ms	34×	1	valid

Compiler

Compiled 160 to 120 computations (25% saved)

Precisions

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

ival-log: 3.0ms (32.2% of total)

ival-exp: 2.0ms (21.4% of total)

ival-sub: 1.0ms (10.7% of total)

ival-add: 1.0ms (10.7% of total)

ival-mult: 1.0ms (10.7% of total)

backward-pass: 1.0ms (10.7% of total)

const: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-97.5265895151056	-0.0001088330269226204

Results

10.0ms

144×

valid

Compiler

Compiled 160 to 129 computations (19.4% saved)

Precisions

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

ival-log: 2.0ms (33.3% of total)

ival-sub: 1.0ms (16.6% of total)

ival-exp: 1.0ms (16.6% of total)

ival-add: 1.0ms (16.6% of total)

ival-mult: 1.0ms (16.6% of total)

const: 0.0ms (0% of total)

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

bsearch60.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
59.0ms	-97.5265895151056	-0.0001088330269226204

Results

54.0ms

144×

valid

Compiler

Compiled 124 to 102 computations (17.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-sub: 45.0ms (89.6% of total)

ival-exp: 2.0ms (4% of total)

ival-log: 2.0ms (4% of total)

ival-add: 1.0ms (2% of total)

ival-mult: 1.0ms (2% of total)

const: 0.0ms (0% of total)

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative`
9×	`*-commutative`
7×	`sub-neg`
3×	`1-exp`
3×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	356
1	80	356
2	91	356
3	96	356
4	98	356

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x #s(literal -33 binary64)) (.f64 x (neg.f64 y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))))
(if (<=.f64 x #s(literal -6124895493223875/4503599627370496 binary64)) (.f64 x (neg.f64 y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal -36 binary64)) (.f64 x (neg.f64 y)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x y)))
(if (<=.f64 x #s(literal -9002011107970261/73786976294838206464 binary64)) (.f64 x (neg.f64 y)) (+.f64 (.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -8116567392432203/73786976294838206464 binary64)) (*.f64 x (neg.f64 y)) (log.f64 #s(literal 2 binary64)))
(*.f64 x (neg.f64 y))
(*.f64 x y)

Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x #s(literal -33 binary64)) (.f64 x (neg.f64 y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))))
(if (<=.f64 x #s(literal -33 binary64)) (.f64 x (neg.f64 y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y))))
(if (<=.f64 x #s(literal -6124895493223875/4503599627370496 binary64)) (.f64 x (neg.f64 y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal -36 binary64)) (.f64 x (neg.f64 y)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x y)))
(if (<=.f64 x #s(literal -9002011107970261/73786976294838206464 binary64)) (.f64 x (neg.f64 y)) (+.f64 (.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -9002011107970261/73786976294838206464 binary64)) (.f64 x (neg.f64 y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -8116567392432203/73786976294838206464 binary64)) (*.f64 x (neg.f64 y)) (log.f64 #s(literal 2 binary64)))
(*.f64 x (neg.f64 y))
(*.f64 x y)

soundness805.0ms (7.4%)

Rules

1101×	`log1p-expm1-u`
754×	`fma-neg`
628×	`expm1-log1p-u`
489×	`distribute-lft-neg-in`
407×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	234
1	73	226
2	129	210
3	282	210
4	434	210
5	622	210
6	763	210
7	877	210
8	905	210
9	907	210
0	25	198
1	371	190
2	5369	190
0	621	12931
1	1487	12308
2	5200	12264
0	713	15812
1	1594	14974
2	5014	14909

Stop Event

1×	done
1×	node limit
1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 306 to 123 computations (59.8% saved)

preprocess72.0ms (0.7%)

Compiler: Compiled 272 to 134 computations (50.7% saved)

Iter	Nodes	Cost
0	30	234
1	73	226
2	129	210
3	282	210
4	434	210
5	622	210
6	763	210
7	877	210
8	905	210
9	907	210

Iter	Nodes	Cost
0	15	137
1	30	137
2	47	137
3	65	137
4	88	137
5	120	137
6	172	137
7	233	137
8	291	137
9	354	137
10	408	137
11	423	137

Iter	Nodes	Cost
0	30	234
1	73	226
2	129	210
3	282	210
4	434	210
5	622	210
6	763	210
7	877	210
8	905	210
9	907	210

Iter	Nodes	Cost
0	15	137
1	30	137
2	47	137
3	65	137
4	88	137
5	120	137
6	172	137
7	233	137
8	291	137
9	354	137
10	408	137
11	423	137

analyze199.0ms (1.8%)

sample4.9s (44.8%)

preprocess69.0ms (0.6%)

explain243.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify24.0ms (0.2%)

localize186.0ms (1.7%)

series86.0ms (0.8%)

rewrite376.0ms (3.5%)

simplify403.0ms (3.7%)

eval74.0ms (0.7%)

prune149.0ms (1.4%)

simplify327.0ms (3%)

localize87.0ms (0.8%)

series64.0ms (0.6%)

rewrite192.0ms (1.8%)

simplify188.0ms (1.7%)

eval63.0ms (0.6%)

prune115.0ms (1.1%)

simplify111.0ms (1%)

localize128.0ms (1.2%)

series52.0ms (0.5%)

rewrite236.0ms (2.2%)

simplify322.0ms (3%)

eval84.0ms (0.8%)

prune156.0ms (1.4%)

simplify8.0ms (0.1%)

localize34.0ms (0.3%)

series5.0ms (0%)

rewrite132.0ms (1.2%)

simplify160.0ms (1.5%)

eval30.0ms (0.3%)

prune267.0ms (2.5%)

regimes16.0ms (0.1%)

regimes134.0ms (1.2%)

regimes9.0ms (0.1%)

regimes65.0ms (0.6%)

regimes3.0ms (0%)

regimes5.0ms (0%)

regimes2.0ms (0%)

regimes72.0ms (0.7%)

regimes3.0ms (0%)

bsearch94.0ms (0.9%)

bsearch18.0ms (0.2%)

bsearch22.0ms (0.2%)

bsearch18.0ms (0.2%)

bsearch60.0ms (0.6%)

simplify7.0ms (0.1%)

soundness805.0ms (7.4%)

preprocess72.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	30	234
1	73	226
2	129	210
3	282	210
4	434	210
5	622	210
6	763	210
7	877	210
8	905	210
9	907	210

Iter	Nodes	Cost
0	15	137
1	30	137
2	47	137
3	65	137
4	88	137
5	120	137
6	172	137
7	233	137
8	291	137
9	354	137
10	408	137
11	423	137