Metrics for Logistic regression 2

analyze86.0ms (0.8%)

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: 10.0ms (26.7% of total)

ival-exp: 7.0ms (18.7% of total)

ival-add: 7.0ms (18.7% of total)

ival-mult: 7.0ms (18.7% of total)

ival-sub: 5.0ms (13.4% of total)

const: 1.0ms (2.7% of total)

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

sample5.4s (47.5%)

Results

3.6s	2628×	5	exit
724.0ms	7628×	0	valid
196.0ms	628×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 3.7s

ival-log: 2.3s (60.4% of total)

ival-exp: 558.0ms (15% of total)

backward-pass: 317.0ms (8.5% of total)

ival-sub: 213.0ms (5.7% of total)

ival-mult: 207.0ms (5.5% of total)

ival-add: 155.0ms (4.2% of total)

const: 27.0ms (0.7% of total)

Bogosity

preprocess70.0ms (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)))

explain156.0ms (1.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
3	-	-	`(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

75.0ms	148×	2	valid
34.0ms	342×	0	valid
6.0ms	22×	1	valid

Compiler

Compiled 69 to 26 computations (62.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-log: 47.0ms (61.6% of total)

ival-exp: 6.0ms (7.9% of total)

backward-pass: 6.0ms (7.9% of total)

ival-mult: 6.0ms (7.9% of total)

ival-add: 5.0ms (6.6% of total)

ival-sub: 4.0ms (5.2% of total)

const: 1.0ms (1.3% 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))
▶	99.6%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 29 to 20 computations (31% saved)

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 12 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	-6336	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(log1p.f64 (exp.f64 x))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 x))
✓	cost-diff	128	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

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	19	223
1	36	223
2	48	223
3	67	223
4	90	223
5	122	223
6	174	223
7	234	223
8	295	223
9	358	223
10	412	223
11	427	223

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(exp.f64 x)
x
(*.f64 x y)
y
(-.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 (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)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(exp.f64 x)
x
(*.f64 x y)
y
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(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 (1.6%)

Localize:

Found 12 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	99.2%	(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	99.2%	(log1p.f64 (exp.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 x))
✓	accuracy	100.0%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
✓	accuracy	99.0%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Results

133.0ms	74×	2	valid
27.0ms	171×	0	valid
5.0ms	11×	1	valid

Compiler

Compiled 62 to 13 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-log: 17.0ms (35.4% of total)

backward-pass: 6.0ms (12.5% of total)

ival-fma: 6.0ms (12.5% of total)

ival-sub: 4.0ms (8.3% of total)

ival-log1p: 4.0ms (8.3% of total)

ival-exp: 3.0ms (6.2% of total)

ival-add: 3.0ms (6.2% of total)

ival-mult: 3.0ms (6.2% of total)

ival-neg: 2.0ms (4.2% of total)

const: 1.0ms (2.1% of total)

series73.0ms (0.6%)

Counts

9 → 108

Calls

Call 1

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

Outputs
#<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 #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) x)>
#<alt (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) 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 #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 (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 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)>
#<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))))>

Calls

39 calls:

Time	Variable		Point	Expression
29.0ms	x	@	inf	(log (+ 1 (exp x)))
22.0ms	x	@	-inf	(log (+ 1 (exp x)))
3.0ms	y	@	0	(- (log (+ 1 (exp x))) (* x y))
1.0ms	x	@	0	(log (+ 1 (exp x)))
0.0ms	x	@	0	(* x y)

rewrite342.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

971×	`prod-diff`
806×	`log1p-expm1-u`
806×	`expm1-log1p-u`
348×	`fma-define`
152×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	157
1	221	141
2	2909	141

Stop Event

1×	node limit

Counts

9 → 647

Calls

Call 1

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

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

simplify333.0ms (3%)

Algorithm

1×	egg-herbie

Rules

878×	`fma-neg`
442×	`distribute-lft-neg-in`
423×	`distribute-rgt-neg-in`
315×	`fma-define`
266×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	704	25437
1	1579	23983
2	4794	23638

Stop Event

1×	node limit

Counts

755 → 403

Calls

Call 1

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

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

eval59.0ms (0.5%)

Compiler: Compiled 8763 to 1232 computations (85.9% saved)

prune89.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	497	7	504
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	499	8	507

Accuracy

100.0%

Counts

507 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.7%	(fma.f64 x (neg.f64 y) (log1p.f64 #s(literal 1 binary64)))
	98.9%	(-.f64 (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (.f64 x y))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	91.7%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
▶	77.5%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y)))
▶	82.8%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
▶	55.9%	(*.f64 y (neg.f64 x))
▶	99.5%	(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))

Compiler

Compiled 151 to 112 computations (25.8% saved)

simplify195.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 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	-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	-6336	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(log1p.f64 #s(literal 1 binary64))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 y (neg.f64 x))
	cost-diff	0	(log1p.f64 (exp.f64 x))
✓	cost-diff	0	(/.f64 (log1p.f64 (exp.f64 x)) x)
✓	cost-diff	0	(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
✓	cost-diff	128	(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))

Rules

1386×	`fma-neg`
763×	`fma-define`
616×	`associate-*r/`
499×	`associate-*l/`
392×	`times-frac`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	31	419
1	62	395
2	106	395
3	223	395
4	403	392
5	660	386
6	1253	386
7	2376	386
8	4579	386
9	5429	386
10	5725	386
11	5972	386
12	6003	386
13	6031	386

Stop Event

1×	node limit

Calls

Call 1

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

localize108.0ms (1%)

Localize:

Found 17 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 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y))
✓	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 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
✓	accuracy	100.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.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%	(*.f64 y (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
✓	accuracy	99.9%	(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
✓	accuracy	99.8%	(/.f64 (log1p.f64 (exp.f64 x)) x)
	accuracy	99.2%	(log1p.f64 (exp.f64 x))

Results

79.0ms

256×

valid

Compiler

Compiled 118 to 26 computations (78% saved)

Precisions

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

ival-mult: 11.0ms (31.3% of total)

ival-log1p: 6.0ms (17.1% of total)

ival-sub: 5.0ms (14.2% of total)

ival-add: 4.0ms (11.4% of total)

ival-div: 3.0ms (8.5% of total)

ival-exp: 2.0ms (5.7% of total)

ival-log: 2.0ms (5.7% of total)

const: 1.0ms (2.8% of total)

ival-neg: 1.0ms (2.8% of total)

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

series64.0ms (0.6%)

Counts

15 → 229

Calls

Call 1

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

66 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	(/ (log (+ 1 (exp x))) x)
7.0ms	x	@	-inf	(/ (log (+ 1 (exp x))) x)
3.0ms	x	@	0	(- (log (+ 1 1)) (* x y))
1.0ms	y	@	0	(- (log (+ 1 1)) (* x y))
1.0ms	x	@	-inf	(* x (- (/ (log (+ 1 (exp x))) x) y))

rewrite248.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

477×	`log1p-expm1-u`
234×	`expm1-log1p-u`
228×	`add-cube-cbrt`
227×	`add-exp-log`
227×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	319
1	499	291
2	7629	291

Stop Event

1×	node limit

Counts

15 → 423

Calls

Call 1

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

simplify339.0ms (3%)

Algorithm

1×	egg-herbie

Rules

600×	`associate-l`
584×	`fma-define`
520×	`associate-r`
364×	`distribute-rgt-in`
349×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	970	22170
1	2197	20880

Stop Event

1×	node limit

Counts

652 → 650

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

eval83.0ms (0.7%)

Compiler: Compiled 10080 to 1894 computations (81.2% saved)

prune89.0ms (0.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	663	7	670
Fresh	0	2	2
Picked	3	2	5
Done	1	0	1
Total	667	11	678

Accuracy

100.0%

Counts

678 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.7%	(fma.f64 x (neg.f64 y) (log1p.f64 #s(literal 1 binary64)))
▶	98.9%	(-.f64 (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (.f64 x y))
✓	91.7%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
▶	49.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))
▶	45.5%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
	91.6%	(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
✓	55.9%	(*.f64 y (neg.f64 x))
▶	2.0%	(*.f64 y x)
	46.2%	(log1p.f64 (exp.f64 x))
▶	46.2%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
	45.4%	(log.f64 #s(literal 2 binary64))

Compiler

Compiled 160 to 126 computations (21.3% saved)

simplify98.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

585×	`fma-define`
320×	`fma-neg`
62×	`associate-r`
59×	`unsub-neg`
55×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	358
1	54	338
2	89	338
3	121	338
4	153	338
5	195	338
6	270	338
7	365	338
8	488	338
9	623	338
10	754	338
11	1085	338
12	1319	338
13	1489	338
14	1625	338
15	1753	338
16	1841	338
17	1897	338
18	1899	338

Stop Event

1×

saturated

Calls

Call 1

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

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

localize243.0ms (2.2%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(exp.f64 x)
	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 x))
	accuracy	99.0%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
	accuracy	100.0%	(*.f64 #s(literal 1/8 binary64) x)
	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)))
✓	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 #s(literal 1/2 binary64))
	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 y x)
	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 x))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
✓	accuracy	100.0%	(-.f64 (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (.f64 x y))
✓	accuracy	98.0%	(log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))

Results

151.0ms	74×	2	valid
45.0ms	171×	0	valid
8.0ms	11×	1	valid

Compiler

Compiled 110 to 23 computations (79.1% saved)

Precisions

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

ival-log: 37.0ms (46.5% of total)

ival-mult: 16.0ms (20.1% of total)

backward-pass: 9.0ms (11.3% of total)

ival-add: 8.0ms (10.1% of total)

ival-sqrt: 4.0ms (5% of total)

ival-exp: 3.0ms (3.8% of total)

ival-sub: 2.0ms (2.5% of total)

const: 1.0ms (1.3% of total)

series111.0ms (1%)

Counts

10 → 112

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))>
#<alt (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (*.f64 y x)>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))>
#<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 (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (.f64 x y))>
#<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 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 x (+.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 x (+.f64 (.f64 x (-.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (log.f64 (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.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 (*.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 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) y)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 x (-.f64 (+.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) y)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 x (-.f64 (+.f64 (.f64 x (-.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x)) y))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x)) y))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.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 -2 binary64) (/.f64 (log.f64 (sqrt.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 -2 binary64) (/.f64 (log.f64 (sqrt.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 -2 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x)) (.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 y (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) y)) x))>
#<alt (.f64 y (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) y)) x))>
#<alt (.f64 y (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.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 -2 binary64) (/.f64 (log.f64 (sqrt.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 -2 binary64) (/.f64 (log.f64 (sqrt.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 -2 binary64) (/.f64 (log.f64 (sqrt.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 #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

36 calls:

Time	Variable		Point	Expression
70.0ms	x	@	inf	(* 2 (log (sqrt (+ 1 (exp x)))))
20.0ms	x	@	-inf	(* 2 (log (sqrt (+ 1 (exp x)))))
4.0ms	y	@	0	(- (* 2 (log (sqrt (+ 1 (exp x))))) (* x y))
2.0ms	x	@	inf	(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
2.0ms	x	@	0	(* 2 (log (sqrt (+ 1 (exp x)))))

rewrite209.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1290×	`log1p-expm1-u`
334×	`expm1-log1p-u`
179×	`add-exp-log`
177×	`add-log-exp`
174×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	233
1	415	177
2	5689	177

Stop Event

1×	node limit

Counts

10 → 276

Calls

Call 1

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

simplify405.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

934×	`times-frac`
758×	`fma-neg`
354×	`fma-define`
294×	`associate-r`
267×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	714	14535
1	1663	12062
2	5668	12050

Stop Event

1×	node limit

Counts

388 → 422

Calls

Call 1

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

Outputs
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
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(fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(fma.f64 x (fma.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
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(log.f64 (sqrt.f64 #s(literal 2 binary64)))
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(sqrt.f64 #s(literal 2 binary64))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
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(*.f64 x y)
(*.f64 x y)
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(*.f64 x y)
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(log.f64 #s(literal 2 binary64))
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(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
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#s(literal 1/2 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 (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)))
(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))))
(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)))
(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)))
(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))))
(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)))
(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))))
(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)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))

eval93.0ms (0.8%)

Compiler: Compiled 10548 to 2123 computations (79.9% saved)

prune94.0ms (0.8%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	649	2	651
Fresh	0	4	4
Picked	1	4	5
Done	0	2	2
Total	650	12	662

Accuracy

100.0%

Counts

662 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.7%	(fma.f64 x (neg.f64 y) (log1p.f64 #s(literal 1 binary64)))
	91.0%	(-.f64 (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 x y))
✓	91.7%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
✓	49.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))
✓	45.5%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
▶	91.6%	(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
✓	55.9%	(*.f64 y (neg.f64 x))
✓	2.0%	(*.f64 y x)
▶	46.2%	(log1p.f64 (exp.f64 x))
▶	44.4%	(log.f64 (+.f64 #s(literal 2 binary64) x))
✓	46.2%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
▶	45.4%	(log.f64 #s(literal 2 binary64))

Compiler

Compiled 134 to 104 computations (22.4% saved)

simplify284.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(exp.f64 x)
	cost-diff	0	(log1p.f64 (exp.f64 x))
	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	0	(+.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(log.f64 (+.f64 #s(literal 2 binary64) x))
	cost-diff	0	(log.f64 #s(literal 2 binary64))
	cost-diff	0	(log1p.f64 #s(literal 1 binary64))
	cost-diff	0	(neg.f64 y)
✓	cost-diff	6336	(fma.f64 x (neg.f64 y) (log1p.f64 #s(literal 1 binary64)))

Rules

1548×	`associate-/l/`
1330×	`fma-define`
876×	`fma-neg`
553×	`associate-*r/`
498×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	178
1	40	178
2	58	178
3	92	178
4	139	178
5	211	178
6	345	178
7	646	178
8	1986	178
9	3732	178
10	4207	178
11	4539	178
12	4644	178
13	4678	178
14	5904	178
15	6557	178
16	7361	178
17	7665	178
18	7779	178
19	7817	178
20	7817	178

Stop Event

1×	node limit

Calls

Call 1

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

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

localize73.0ms (0.6%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(exp.f64 x)
	accuracy	99.2%	(log1p.f64 (exp.f64 x))
	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	99.7%	(/.f64 (log.f64 #s(literal 2 binary64)) y)
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(log.f64 (+.f64 #s(literal 2 binary64) x))
	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
	accuracy	100.0%	(neg.f64 y)
	accuracy	100.0%	(log1p.f64 #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 x (neg.f64 y) (log1p.f64 #s(literal 1 binary64)))

Results

37.0ms	171×	0	valid
14.0ms	85×	0	invalid

Compiler

Compiled 57 to 16 computations (71.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-log1p: 6.0ms (24% of total)

ival-log: 5.0ms (20% of total)

ival-fma: 4.0ms (16% of total)

ival-div: 2.0ms (8% of total)

ival-exp: 2.0ms (8% of total)

ival-add: 2.0ms (8% of total)

ival-mult: 2.0ms (8% of total)

ival-sub: 1.0ms (4% of total)

const: 1.0ms (4% of total)

ival-neg: 1.0ms (4% of total)

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

series28.0ms (0.2%)

Counts

6 → 87

Calls

Call 1

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

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 (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 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/8 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) x))))>
#<alt #s(literal 2 binary64)>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 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 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))))))>

Calls

27 calls:

Time	Variable		Point	Expression
9.0ms	y	@	0	(/ (log 2) y)
4.0ms	y	@	inf	(/ (log 2) y)
2.0ms	y	@	0	(* y (- (/ (log 2) y) x))
1.0ms	y	@	-inf	(* y (- (/ (log 2) y) x))
1.0ms	x	@	inf	(log (+ 2 x))

rewrite155.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1131×	`log1p-expm1-u`
747×	`prod-diff`
729×	`expm1-log1p-u`
107×	`add-exp-log`
107×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	116
1	255	112
2	3295	112

Stop Event

1×	node limit

Counts

6 → 248

Calls

Call 1

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

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

simplify162.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

428×	`fma-neg`
423×	`distribute-lft-in`
398×	`distribute-rgt-in`
312×	`cancel-sign-sub-inv`
200×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	546	10423
1	1188	9678
2	3519	8764

Stop Event

1×	node limit

Counts

335 → 359

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)))))
(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 (+.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 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/8 binary64))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) x))))
#s(literal 2 binary64)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 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 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 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+.f64 (*.f64 x y) (log.f64 #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (log.f64 #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x y (log.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x y) (log.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 x y) (log.f64 #s(literal 2 binary64))))
(pow.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (+.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (log.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64))))))
(-.f64 (log.f64 (-.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 1 binary64) (log.f64 (+.f64 x #s(literal 2 binary64))))
(*.f64 (log.f64 (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (+.f64 x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x #s(literal 2 binary64)))) (sqrt.f64 (log.f64 (+.f64 x #s(literal 2 binary64)))))
(pow.f64 (log.f64 (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (+.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x #s(literal 2 binary64)))))
(log1p.f64 (-.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (+.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))
(*.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))
(.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
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(+.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) (neg.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) (neg.f64 x)) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) (neg.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(+.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 y)) (neg.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 y)) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 y)) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 y)) (neg.f64 x)) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 y)) (neg.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) y) (neg.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) y) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) y) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) y) (neg.f64 x)) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) y) (neg.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (cbrt.f64 y)) (neg.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (cbrt.f64 y)) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (cbrt.f64 y)) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (cbrt.f64 y)) (neg.f64 x)) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (cbrt.f64 y)) (neg.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)))
(*.f64 (sqrt.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) (sqrt.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)))
(.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)) (.f64 x (+.f64 x (/.f64 (log.f64 #s(literal 2 binary64)) y))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (log.f64 #s(literal 2 binary64)) y))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 x (+.f64 x (/.f64 (log.f64 #s(literal 2 binary64)) y)))) (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (log.f64 #s(literal 2 binary64)) y)) (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 x (+.f64 x (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 x (+.f64 x (/.f64 (log.f64 #s(literal 2 binary64)) y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 x (/.f64 (log.f64 #s(literal 2 binary64)) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (neg.f64 x)))
(pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)))
(exp.f64 (log.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y) (neg.f64 x))
(fma.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) (neg.f64 x))
(fma.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y))
(*.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) y))
(.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) y))
(.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (log.f64 #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) y))
(*.f64 (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (cbrt.f64 y)))
(pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)))
(log.f64 (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(exp.f64 (log.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) #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 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) (log.f64 #s(literal 2 binary64)))
(-.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 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) (log.f64 #s(literal 2 binary64)))
(-.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 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(.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 #s(literal 2 binary64)) x)))
(*.f64 x (fma.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 (fma.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 (fma.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 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 x (fma.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 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 x (fma.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 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(*.f64 x (fma.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))
(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 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) (log.f64 #s(literal 2 binary64)))
(-.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 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) (log.f64 #s(literal 2 binary64)))
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(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)
(exp.f64 (log.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y) (neg.f64 x))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)
(fma.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y) (neg.f64 x))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) (neg.f64 x))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)
(fma.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) (neg.f64 x))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(*.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 1 binary64))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) y))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(*.f64 (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 2 binary64)))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(*.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) y))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(*.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(*.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)
(/.f64 (log.f64 #s(literal 1/2 binary64)) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 #s(literal 2 binary64)))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (cbrt.f64 y)))
(/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (log.f64 #s(literal 2 binary64)) (sqrt.f64 y)))
(/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) y))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (log.f64 #s(literal 2 binary64)) (sqrt.f64 y)))
(/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) y))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(*.f64 (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (cbrt.f64 y)))
(/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 1 binary64))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 3 binary64))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 2 binary64))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(pow.f64 (/.f64 y (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(neg.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y))
(/.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) y)
(/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 y))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(log.f64 (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y))))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 3 binary64)))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(expm1.f64 (log1p.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(log1p.f64 (expm1.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(exp.f64 (log.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y)) #s(literal 1 binary64)))
(/.f64 (log.f64 #s(literal 2 binary64)) y)

eval53.0ms (0.5%)

Compiler: Compiled 6032 to 1195 computations (80.2% saved)

prune109.0ms (1%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	451	1	452
Fresh	0	1	1
Picked	1	4	5
Done	0	6	6
Total	452	12	464

Accuracy

100.0%

Counts

464 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.0%	(-.f64 (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 x y))
✓	91.7%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
✓	49.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))
✓	45.5%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
✓	91.6%	(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
	76.0%	(.f64 y (.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64))))
✓	55.9%	(*.f64 y (neg.f64 x))
✓	2.0%	(*.f64 y x)
✓	46.2%	(log1p.f64 (exp.f64 x))
✓	44.4%	(log.f64 (+.f64 #s(literal 2 binary64) x))
✓	46.2%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
✓	45.4%	(log.f64 #s(literal 2 binary64))

Compiler

Compiled 240 to 128 computations (46.7% saved)

regimes19.0ms (0.2%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
6.0ms	x
6.0ms	(-.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)

regimes19.0ms (0.2%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

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)

regimes11.0ms (0.1%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
99.6%	2	`x`
91.7%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
71.3%	3	`y`
86.0%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
86.0%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
55.9%	1	`y`
55.9%	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 y x)

Outputs
(*.f64 y x)

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
2.0%	1	`x`
2.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	-4366.091775061814	-23.683854293404856

Results

12.0ms	50×	1	valid
6.0ms	62×	0	valid

Compiler

Compiled 170 to 131 computations (22.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-log: 5.0ms (37.5% of total)

ival-exp: 4.0ms (30% of total)

ival-mult: 2.0ms (15% of total)

ival-add: 1.0ms (7.5% of total)

ival-sub: 1.0ms (7.5% of total)

backward-pass: 1.0ms (7.5% of total)

const: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-4366.091775061814	-23.683854293404856

Results

10.0ms	47×	1	valid
5.0ms	65×	0	valid

Compiler

Compiled 142 to 110 computations (22.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-exp: 4.0ms (35.7% of total)

ival-log: 3.0ms (26.8% of total)

ival-add: 1.0ms (8.9% of total)

ival-sub: 1.0ms (8.9% of total)

backward-pass: 1.0ms (8.9% of total)

ival-mult: 1.0ms (8.9% of total)

const: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	-4366.091775061814	-23.683854293404856

Results

13.0ms	51×	1	valid
5.0ms	61×	0	valid

Compiler

Compiled 128 to 96 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-log: 6.0ms (44.9% of total)

ival-exp: 3.0ms (22.5% of total)

ival-mult: 2.0ms (15% of total)

ival-add: 1.0ms (7.5% of total)

ival-sub: 1.0ms (7.5% of total)

backward-pass: 1.0ms (7.5% of total)

const: 0.0ms (0% of total)

bsearch28.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	6.876481073071674e-45	6.332045358174903e-43
13.0ms	-8.258815882478566e-91	-6.46749505073836e-95

Results

16.0ms

240×

valid

Compiler

Compiled 226 to 177 computations (21.7% saved)

Precisions

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

ival-log: 3.0ms (31.5% of total)

ival-exp: 2.0ms (21% of total)

ival-mult: 2.0ms (21% of total)

ival-sub: 1.0ms (10.5% of total)

ival-add: 1.0ms (10.5% of total)

const: 0.0ms (0% of total)

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

bsearch137.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
121.0ms	6.876481073071674e-45	6.332045358174903e-43
13.0ms	-8.258815882478566e-91	-6.46749505073836e-95

Results

126.0ms

240×

valid

Compiler

Compiled 196 to 162 computations (17.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-log: 113.0ms (94.4% of total)

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

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

ival-sub: 1.0ms (0.8% of total)

ival-add: 1.0ms (0.8% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative`
8×	`*-commutative`
7×	`sub-neg`
4×	`if-if-or-not`
4×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	388
1	95	388
2	109	388
3	113	388
4	114	388

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 -95 binary64)) (.f64 y (neg.f64 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))))
(if (<=.f64 x #s(literal -24 binary64)) (.f64 y (neg.f64 x)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal -105 binary64)) (.f64 y (neg.f64 x)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x y)))
(if (<=.f64 x #s(literal -1056844162248225/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 x #s(literal 3515176971816541/6277101735386680763835789423207666416102355444464034512896 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) x)) (.f64 y (neg.f64 x))))
(if (<=.f64 x #s(literal -802724515596525/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 x #s(literal 7331654826931643/50216813883093446110686315385661331328818843555712276103168 binary64)) (log.f64 #s(literal 2 binary64)) (.f64 y (neg.f64 x))))
(*.f64 y (neg.f64 x))
(*.f64 y x)

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 -95 binary64)) (.f64 y (neg.f64 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))))
(if (<=.f64 x #s(literal -95 binary64)) (.f64 y (neg.f64 x)) (+.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 -95 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 -24 binary64)) (.f64 y (neg.f64 x)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal -24 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 -105 binary64)) (.f64 y (neg.f64 x)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x y)))
(if (<=.f64 x #s(literal -105 binary64)) (.f64 x (neg.f64 y)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x y)))
(if (<=.f64 x #s(literal -1056844162248225/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 x #s(literal 3515176971816541/6277101735386680763835789423207666416102355444464034512896 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) x)) (.f64 y (neg.f64 x))))
(if (or (<=.f64 x #s(literal -1056844162248225/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (not (<=.f64 x #s(literal 3515176971816541/6277101735386680763835789423207666416102355444464034512896 binary64)))) (*.f64 y (neg.f64 x)) (log.f64 (+.f64 x #s(literal 2 binary64))))
(if (or (<=.f64 x #s(literal -1056844162248225/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (not (<=.f64 x #s(literal 3515176971816541/6277101735386680763835789423207666416102355444464034512896 binary64)))) (*.f64 x (neg.f64 y)) (log.f64 (+.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -802724515596525/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 x #s(literal 7331654826931643/50216813883093446110686315385661331328818843555712276103168 binary64)) (log.f64 #s(literal 2 binary64)) (.f64 y (neg.f64 x))))
(if (or (<=.f64 x #s(literal -802724515596525/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (not (<=.f64 x #s(literal 7331654826931643/50216813883093446110686315385661331328818843555712276103168 binary64)))) (*.f64 y (neg.f64 x)) (log.f64 #s(literal 2 binary64)))
(if (or (<=.f64 x #s(literal -802724515596525/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (not (<=.f64 x #s(literal 7331654826931643/50216813883093446110686315385661331328818843555712276103168 binary64)))) (*.f64 x (neg.f64 y)) (log.f64 #s(literal 2 binary64)))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 y x)
(*.f64 x y)

soundness882.0ms (7.8%)

Rules

878×	`fma-neg`
600×	`associate-l`
584×	`fma-define`
520×	`associate-r`
477×	`log1p-expm1-u`

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
0	970	22170
1	2197	20880
0	31	319
1	499	291
2	7629	291
0	704	25437
1	1579	23983
2	4794	23638

Stop Event

1×	fuel
1×	node limit
1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 301 to 134 computations (55.5% saved)

preprocess63.0ms (0.6%)

Compiler: Compiled 288 to 150 computations (47.9% 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	19	223
1	36	223
2	48	223
3	67	223
4	90	223
5	122	223
6	174	223
7	234	223
8	295	223
9	358	223
10	412	223
11	427	223

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	19	223
1	36	223
2	48	223
3	67	223
4	90	223
5	122	223
6	174	223
7	234	223
8	295	223
9	358	223
10	412	223
11	427	223

analyze86.0ms (0.8%)

sample5.4s (47.5%)

preprocess70.0ms (0.6%)

explain156.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify26.0ms (0.2%)

localize186.0ms (1.6%)

series73.0ms (0.6%)

rewrite342.0ms (3%)

simplify333.0ms (3%)

eval59.0ms (0.5%)

prune89.0ms (0.8%)

simplify195.0ms (1.7%)

localize108.0ms (1%)

series64.0ms (0.6%)

rewrite248.0ms (2.2%)

simplify339.0ms (3%)

eval83.0ms (0.7%)

prune89.0ms (0.8%)

simplify98.0ms (0.9%)

localize243.0ms (2.2%)

series111.0ms (1%)

rewrite209.0ms (1.9%)

simplify405.0ms (3.6%)

eval93.0ms (0.8%)

prune94.0ms (0.8%)

simplify284.0ms (2.5%)

localize73.0ms (0.6%)

series28.0ms (0.2%)

rewrite155.0ms (1.4%)

simplify162.0ms (1.4%)

eval53.0ms (0.5%)

prune109.0ms (1%)

regimes19.0ms (0.2%)

regimes19.0ms (0.2%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch23.0ms (0.2%)

bsearch21.0ms (0.2%)

bsearch23.0ms (0.2%)

bsearch28.0ms (0.3%)

bsearch137.0ms (1.2%)

simplify8.0ms (0.1%)

soundness882.0ms (7.8%)

preprocess63.0ms (0.6%)

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	19	223
1	36	223
2	48	223
3	67	223
4	90	223
5	122	223
6	174	223
7	234	223
8	295	223
9	358	223
10	412	223
11	427	223