Metrics for Logistic regression 2

analyze147.0ms (1.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
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: 95.0ms

ival-mult: 62.0ms (65.5% of total)

ival-log: 11.0ms (11.6% of total)

ival-add: 8.0ms (8.4% of total)

ival-exp: 7.0ms (7.4% of total)

ival-sub: 6.0ms (6.3% of total)

const: 1.0ms (1.1% of total)

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

sample3.7s (34.9%)

Results

989.0ms	7617×	0	valid
1.9s	2609×	5	exit
286.0ms	639×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 2.2s

ival-log: 1.0s (46.5% of total)

backward-pass: 376.0ms (16.7% of total)

ival-mult: 271.0ms (12% of total)

ival-sub: 186.0ms (8.3% of total)

ival-exp: 178.0ms (7.9% of total)

ival-add: 168.0ms (7.5% of total)

const: 25.0ms (1.1% of total)

Bogosity

preprocess71.0ms (0.7%)

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)))

explain143.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
4	-	-	`(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

40.0ms	372×	0	valid
59.0ms	126×	2	valid
4.0ms	14×	1	valid

Compiler

Compiled 69 to 26 computations (62.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-log: 39.0ms (56.5% of total)

backward-pass: 7.0ms (10.1% of total)

ival-exp: 6.0ms (8.7% of total)

ival-mult: 6.0ms (8.7% of total)

ival-add: 5.0ms (7.2% of total)

ival-sub: 4.0ms (5.8% of total)

const: 1.0ms (1.4% of total)

eval0.0ms (0%)

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

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶	98.8%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize84.0ms (0.8%)

Algorithm

2×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(log1p.f64 (exp.f64 x))
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	6336	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(log1p.f64 (exp.f64 x))
✓	cost-diff	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	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	98.9%	(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	98.9%	(log1p.f64 (exp.f64 x))

Rules

102×	`fma-define`
99×	`fma-define`
56×	`fma-neg`
55×	`fma-neg`
21×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	71
1	21	71
2	38	71
3	56	71
4	75	71
5	109	71
6	163	71
7	213	71
8	281	71
9	356	71
10	410	71
11	425	71
0	12	66
1	22	66
2	35	66
3	55	66
4	76	66
5	100	66
6	130	66
7	182	66
8	223	66
9	273	66
10	350	66
11	406	66
12	421	66

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
(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
(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)

Call 2

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

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

Results

29.0ms

256×

valid

Compiler

Compiled 36 to 9 computations (75% saved)

Precisions

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

ival-exp: 3.0ms (20.4% of total)

ival-log1p: 3.0ms (20.4% of total)

ival-fma: 3.0ms (20.4% of total)

ival-mult: 2.0ms (13.6% of total)

ival-sub: 1.0ms (6.8% of total)

ival-neg: 1.0ms (6.8% of total)

const: 0.0ms (0% of total)

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

series70.0ms (0.6%)

Counts

6 → 76

Calls

Call 1

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

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

Calls

27 calls:

Time	Variable		Point	Expression
31.0ms	x	@	inf	(log (+ 1 (exp x)))
25.0ms	x	@	-inf	(log (+ 1 (exp x)))
3.0ms	y	@	0	(- (log (+ 1 (exp x))) (* x y))
0.0ms	x	@	0	(log (+ 1 (exp x)))
0.0ms	x	@	inf	(- (log (+ 1 (exp x))) (* x y))

rewrite275.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

6 → 424

Calls

Call 1

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

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

simplify231.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

409×	`distribute-lft-neg-in`
397×	`distribute-rgt-neg-in`
353×	`fma-define`
278×	`associate-r`
260×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	713	15866
1	1604	15028
2	5060	14963

Stop Event

1×	node limit

Counts

500 → 371

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

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

eval67.0ms (0.6%)

Compiler: Compiled 7684 to 1082 computations (85.9% saved)

prune75.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	444	8	452
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	445	9	454

Accuracy

99.7%

Counts

454 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.0%	(fma.f64 x (neg.f64 y) (log1p.f64 #s(literal 1 binary64)))
▶	97.1%	(-.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (*.f64 x y))
	71.2%	(-.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
✓	98.8%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
	92.0%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
▶	81.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y)))
▶	85.6%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
▶	50.6%	(*.f64 y (neg.f64 x))
▶	98.8%	(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))

Compiler

Compiled 167 to 122 computations (26.9% saved)

localize552.0ms (5.1%)

Algorithm

5×	egg-herbie

Localize:

Found 36 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(log1p.f64 (exp.f64 x))
✓	cost-diff	0	(cbrt.f64 (log1p.f64 (exp.f64 x)))
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64))
✓	cost-diff	12864	(-.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (*.f64 x y))
✓	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	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))
✓	accuracy	100.0%	(-.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (*.f64 x y))
✓	accuracy	98.9%	(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64))
	accuracy	98.9%	(log1p.f64 (exp.f64 x))
✓	accuracy	98.3%	(cbrt.f64 (log1p.f64 (exp.f64 x)))
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)
✓	accuracy	100.0%	(.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y))
✓	accuracy	100.0%	(+.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%	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
✓	accuracy	100.0%	(*.f64 y (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
✓	accuracy	99.8%	(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
✓	accuracy	99.8%	(/.f64 (log1p.f64 (exp.f64 x)) x)
	accuracy	98.9%	(log1p.f64 (exp.f64 x))

Rules

1559×	`fma-define`
1031×	`fma-neg`
821×	`fma-neg`
693×	`associate-/l/`
525×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	118
1	19	118
2	35	118
3	59	118
4	92	115
5	136	109
6	250	109
7	435	109
8	1304	109
9	3259	109
10	3945	109
11	4339	109
12	4534	109
13	4596	109
14	4660	109
15	5993	109
16	6919	109
17	7613	109
18	7919	109
0	10	33
1	17	33
2	28	33
3	39	33
4	50	33
5	67	33
6	90	33
7	107	33
8	113	33
9	125	33
0	14	73
1	18	69
2	32	69
3	62	69
4	106	69
5	165	69
6	247	69
7	367	69
8	604	69
9	773	69
10	965	69
11	1175	69
12	1195	69
0	17	145
1	25	125
2	55	125
3	133	125
4	262	125
5	447	125
6	767	125
7	1376	125
8	2478	125
9	3141	125
10	3221	125
11	3242	125
12	3242	125
13	3689	125
14	3689	125
0	15	100
1	28	100
2	50	100
3	67	100
4	94	100
5	140	100
6	221	100
7	325	100
8	437	100
9	558	100
10	620	100
11	635	100

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (*.f64 x y))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64))
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
#s(literal 3 binary64)
(*.f64 x y)
y

Outputs
(-.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64))
(log1p.f64 (exp.f64 x))
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
#s(literal 3 binary64)
(*.f64 x y)
y

Call 2

Inputs
(+.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 (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)))
(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))
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) (*.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

Call 3

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

Outputs
(+.f64 (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

Call 4

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

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

Call 5

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

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

Results

81.0ms

256×

valid

Compiler

Compiled 135 to 27 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 11.0ms (23.9% of total)

ival-pow: 7.0ms (15.2% of total)

ival-sub: 6.0ms (13% of total)

ival-add: 4.0ms (8.7% of total)

ival-log: 4.0ms (8.7% of total)

ival-log1p: 4.0ms (8.7% of total)

ival-exp: 3.0ms (6.5% of total)

ival-cbrt: 3.0ms (6.5% of total)

ival-div: 2.0ms (4.3% of total)

const: 1.0ms (2.2% of total)

ival-neg: 1.0ms (2.2% of total)

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

series64.0ms (0.6%)

Counts

16 → 253

Calls

Call 1

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

Outputs
#<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 (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 #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 (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (*.f64 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 #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 (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)))))>
#<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 (cbrt.f64 (log.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/9 binary64)) x)))>
#<alt (+.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/9 binary64))) (.f64 #s(literal 1/3 binary64) (.f64 (.f64 x (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/9 binary64))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))))>
#<alt (+.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/9 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 x (+.f64 (.f64 #s(literal 1/216 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/9 binary64)))))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/9 binary64)))))))))))>
#<alt (cbrt.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (cbrt.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (cbrt.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (cbrt.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (cbrt.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (cbrt.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (cbrt.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (cbrt.f64 (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 #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)))>
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#<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

72 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	(/ (log (+ 1 (exp x))) x)
8.0ms	x	@	-inf	(/ (log (+ 1 (exp x))) x)
5.0ms	x	@	inf	(* x (- 1/2 y))
3.0ms	x	@	-inf	(cbrt (log (+ 1 (exp x))))
3.0ms	x	@	0	(+ (log 2) (* x (- 1/2 y)))

rewrite258.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

429×	`log1p-expm1-u`
243×	`expm1-log1p-u`
238×	`add-cube-cbrt`
235×	`add-exp-log`
235×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	349
1	531	321
2	7989	321

Stop Event

1×	node limit

Counts

16 → 455

Calls

Call 1

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

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

simplify223.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

624×	`fma-define`
403×	`distribute-rgt-in`
402×	`times-frac`
388×	`distribute-lft-in`
233×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1091	12884925750
1	2470	12884924604

Stop Event

1×	node limit

Counts

708 → 756

Calls

Call 1

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

Outputs
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log1p.f64 #s(literal 1 binary64)) x)
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) (log1p.f64 #s(literal 1 binary64))) 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 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64))) 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 (+.f64 (.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 #s(literal 2 binary64))) x)
(/.f64 (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)) (log1p.f64 #s(literal 1 binary64))) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log1p.f64 (exp.f64 x)) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log1p.f64 (exp.f64 x)) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log1p.f64 (exp.f64 x)) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log1p.f64 (exp.f64 x)) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log1p.f64 (exp.f64 x)) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log1p.f64 (exp.f64 x)) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log1p.f64 (exp.f64 x)) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)
(/.f64 (log1p.f64 (exp.f64 x)) x)
(log.f64 #s(literal 2 binary64))
(log1p.f64 #s(literal 1 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)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log1p.f64 #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)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log1p.f64 #s(literal 1 binary64)))
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eval123.0ms (1.1%)

Compiler: Compiled 13712 to 2599 computations (81% saved)

prune180.0ms (1.7%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	846	12	858
Fresh	1	2	3
Picked	3	2	5
Done	1	0	1
Total	851	16	867

Accuracy

99.7%

Counts

867 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.2%	(-.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
▶	92.0%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
▶	50.8%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	85.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)))
	85.6%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 (neg.f64 y) (+.f64 x (.f64 (/.f64 x y) #s(literal -1/2 binary64)))))
✓	85.6%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
▶	53.9%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))
	41.1%	(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (+.f64 y #s(literal -1/2 binary64)) (/.f64 (log1p.f64 #s(literal 1 binary64)) x)) x)))
✓	50.6%	(*.f64 y (neg.f64 x))
▶	2.4%	(*.f64 y x)
	81.0%	(.f64 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))
	92.0%	(*.f64 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))
	37.5%	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
▶	51.2%	(log1p.f64 (exp.f64 x))
	50.2%	(log1p.f64 #s(literal 1 binary64))
	68.1%	(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log1p.f64 #s(literal 1 binary64)))))

Compiler

Compiled 304 to 234 computations (23% saved)

localize208.0ms (1.9%)

Algorithm

5×	egg-herbie

Localize:

Found 26 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(exp.f64 x)
	cost-diff	0	(log1p.f64 (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 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 y x)
✓	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))
	accuracy	100.0%	(exp.f64 x)
	accuracy	98.9%	(log1p.f64 (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 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 y x)
	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))

Rules

100×	`fma-define`
56×	`fma-neg`
22×	`fma-define`
21×	`cancel-sign-sub-inv`
18×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	26	50
2	37	50
3	55	50
4	74	50
5	108	50
6	162	50
7	210	50
8	274	50
9	347	50
10	393	50
11	399	50
0	8	21
1	9	21
0	11	37
1	15	37
2	16	37
0	14	98
1	24	82
2	49	82
3	65	82
4	71	82
0	7	24
1	11	24
2	17	24

Stop Event

1×	saturated
1×	saturated
1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x

Outputs
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x

Call 2

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

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

Call 3

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

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

Call 4

Inputs
(*.f64 y x)
y
x

Outputs
(*.f64 y x)
y
x

Call 5

Inputs
(-.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

Outputs
(-.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

Results

122.0ms

256×

valid

Compiler

Compiled 73 to 20 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-mult: 60.0ms (61% of total)

ival-log: 24.0ms (24.4% of total)

ival-log1p: 7.0ms (7.1% of total)

ival-add: 4.0ms (4.1% of total)

ival-exp: 2.0ms (2% of total)

ival-sub: 1.0ms (1% of total)

const: 1.0ms (1% of total)

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

series12.0ms (0.1%)

Counts

8 → 100

Calls

Call 1

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

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 (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 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 (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 1/2 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 (*.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 (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))))>
#<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))))>

Calls

27 calls:

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

rewrite164.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`log1p-expm1-u`
982×	`expm1-log1p-u`
353×	`fma-neg`
132×	`add-cube-cbrt`
131×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	143
1	313	127
2	4321	127

Stop Event

1×	node limit

Counts

8 → 218

Calls

Call 1

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

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

simplify174.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

596×	`fma-neg`
579×	`distribute-lft-in`
504×	`distribute-lft-neg-in`
482×	`distribute-rgt-neg-in`
240×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	499	9353
1	1112	9052
2	3835	8321

Stop Event

1×	node limit

Counts

318 → 277

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 (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 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x 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 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))
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(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 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 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))

Outputs
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (neg.f64 x) y (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (neg.f64 x) y (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (neg.f64 x) y (log.f64 #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(*.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 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(.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 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) 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 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) 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 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 x y))
(fma.f64 (neg.f64 x) y (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (neg.f64 x) y (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (neg.f64 x) y (log.f64 #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 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 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 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 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) 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 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) 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 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 x #s(literal 1/8 binary64))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 x #s(literal 1/8 binary64))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (neg.f64 x) y (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 (.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (neg.f64 x) y (log.f64 #s(literal 2 binary64)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)) (fma.f64 (.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (neg.f64 x) y (log.f64 #s(literal 2 binary64)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (neg.f64 x) y (log.f64 #s(literal 2 binary64)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)) (fma.f64 (neg.f64 x) y (.f64 x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (neg.f64 x) y (log.f64 #s(literal 2 binary64)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (.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 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (neg.f64 x) y (log.f64 #s(literal 2 binary64)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (neg.f64 x) y (log.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (neg.f64 x) y (log.f64 #s(literal 2 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))
(fma.f64 (neg.f64 x) y (log.f64 #s(literal 2 binary64)))
(.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)) #s(literal 1 binary64))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (neg.f64 x) y (log.f64 #s(literal 2 binary64)))
(.f64 (cbrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (neg.f64 x) y (log.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (neg.f64 x) y (log.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))) (sqrt.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))
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(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(log.f64 (exp.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) 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 #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(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))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(exp.f64 (log.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(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)))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.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))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 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 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))

eval70.0ms (0.7%)

Compiler: Compiled 5479 to 1148 computations (79% saved)

prune126.0ms (1.2%)

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	431	2	433
Fresh	1	8	9
Picked	0	5	5
Done	0	2	2
Total	432	17	449

Accuracy

99.7%

Counts

449 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.0%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
✓	50.8%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	85.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)))
▶	85.6%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 (neg.f64 y) (+.f64 x (.f64 (/.f64 x y) #s(literal -1/2 binary64)))))
✓	85.6%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
✓	53.9%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))
▶	41.1%	(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (+.f64 y #s(literal -1/2 binary64)) (/.f64 (log1p.f64 #s(literal 1 binary64)) x)) x)))
✓	50.6%	(*.f64 y (neg.f64 x))
✓	2.4%	(*.f64 y x)
	81.0%	(.f64 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))
▶	92.0%	(*.f64 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))
	37.5%	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
▶	3.5%	(*.f64 x #s(literal 1/2 binary64))
	49.9%	(log1p.f64 (+.f64 x #s(literal 1 binary64)))
✓	51.2%	(log1p.f64 (exp.f64 x))
▶	50.2%	(log1p.f64 #s(literal 1 binary64))
	68.1%	(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log1p.f64 #s(literal 1 binary64)))))

Compiler

Compiled 268 to 208 computations (22.4% saved)

localize616.0ms (5.7%)

Algorithm

5×	egg-herbie

Localize:

Found 28 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (+.f64 y #s(literal -1/2 binary64)) (/.f64 (log1p.f64 #s(literal 1 binary64)) x))
✓	cost-diff	0	(/.f64 (-.f64 (+.f64 y #s(literal -1/2 binary64)) (/.f64 (log1p.f64 #s(literal 1 binary64)) x)) x)
✓	cost-diff	0	(-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (+.f64 y #s(literal -1/2 binary64)) (/.f64 (log1p.f64 #s(literal 1 binary64)) x)) x))
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (/.f64 x y) #s(literal -1/2 binary64))
	cost-diff	0	(neg.f64 y)
	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	320	(.f64 (neg.f64 y) (+.f64 x (.f64 (/.f64 x y) #s(literal -1/2 binary64))))
	cost-diff	0	(log1p.f64 #s(literal 1 binary64))
	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	-6208	(*.f64 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))
	cost-diff	0	(log1p.f64 #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (log1p.f64 #s(literal 1 binary64)) x)
✓	cost-diff	0	(-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)
✓	accuracy	100.0%	(-.f64 (+.f64 y #s(literal -1/2 binary64)) (/.f64 (log1p.f64 #s(literal 1 binary64)) x))
✓	accuracy	99.9%	(/.f64 (-.f64 (+.f64 y #s(literal -1/2 binary64)) (/.f64 (log1p.f64 #s(literal 1 binary64)) x)) x)
✓	accuracy	99.7%	(/.f64 (log1p.f64 #s(literal 1 binary64)) x)
✓	accuracy	60.9%	(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (+.f64 y #s(literal -1/2 binary64)) (/.f64 (log1p.f64 #s(literal 1 binary64)) x)) x)))
✓	accuracy	100.0%	(*.f64 (/.f64 x y) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 x (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 (neg.f64 y) (+.f64 x (.f64 (/.f64 x y) #s(literal -1/2 binary64)))))
✓	accuracy	93.3%	(.f64 (neg.f64 y) (+.f64 x (.f64 (/.f64 x y) #s(literal -1/2 binary64))))
	accuracy	100.0%	(log1p.f64 #s(literal 1 binary64))
	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
	accuracy	100.0%	(log1p.f64 #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y)
✓	accuracy	99.8%	(*.f64 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))
✓	accuracy	99.7%	(/.f64 (log1p.f64 #s(literal 1 binary64)) x)

Rules

1725×	`fma-define`
1500×	`fma-define`
837×	`fma-neg`
753×	`fma-neg`
693×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	83
1	24	83
2	34	83
3	58	83
4	91	80
5	135	74
6	249	74
7	433	74
8	1296	74
9	3214	74
10	3897	74
11	4287	74
12	4482	74
13	4544	74
14	4608	74
15	5940	74
16	6899	74
17	7609	74
18	7867	74
19	7983	74
0	7	15
1	8	15
0	4	6
1	13	6
0	17	175
1	35	159
2	99	159
3	292	153
4	602	123
5	1250	123
6	2448	123
7	5444	123
8	6564	123
9	6925	123
10	7048	123
11	7122	123
0	20	221
1	39	221
2	74	221
3	188	221
4	607	221
5	1920	198
6	6907	198

Stop Event

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

Calls

Call 1

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

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

Call 2

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

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

Call 3

Inputs
(log1p.f64 #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(log1p.f64 #s(literal 1 binary64))
(log.f64 #s(literal 2 binary64))
#s(literal 1 binary64)

Call 4

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

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

Call 5

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

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

Results

121.0ms

256×

valid

Compiler

Compiled 144 to 26 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-neg: 30.0ms (34.7% of total)

ival-log: 22.0ms (25.4% of total)

ival-mult: 9.0ms (10.4% of total)

ival-div: 8.0ms (9.3% of total)

ival-log1p: 5.0ms (5.8% of total)

ival-add: 4.0ms (4.6% of total)

ival-sub: 4.0ms (4.6% of total)

ival-pow: 3.0ms (3.5% of total)

const: 1.0ms (1.2% of total)

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

series116.0ms (1.1%)

Counts

12 → 252

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
52.0ms	x	@	0	(/ (log (+ 1 1)) x)
29.0ms	x	@	inf	(/ (log (+ 1 1)) x)
4.0ms	x	@	-inf	(* (neg y) (+ x (* (/ x y) -1/2)))
1.0ms	y	@	0	(* (pow x 2) (- 1/8 (/ (- (+ y -1/2) (/ (log (+ 1 1)) x)) x)))
1.0ms	x	@	0	(* (neg y) (+ x (* (/ x y) -1/2)))

rewrite295.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

407×	`log1p-expm1-u`
226×	`expm1-log1p-u`
221×	`add-cube-cbrt`
219×	`add-exp-log`
219×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	388
1	481	364
2	7919	364

Stop Event

1×	node limit

Counts

12 → 385

Calls

Call 1

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

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

simplify446.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

565×	`associate-r`
517×	`associate-l`
493×	`fma-define`
295×	`distribute-lft-in`
294×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	998	28270
1	2493	26417

Stop Event

1×	node limit

Counts

637 → 679

Calls

Call 1

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

Outputs
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/.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 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 (neg.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 #s(literal 2 binary64)) x)))))
(*.f64 (neg.f64 x) (-.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x)))
(*.f64 x (neg.f64 (-.f64 y (/.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)))))
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(+.f64 #s(literal 1/8 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (+.f64 y #s(literal -1/2 binary64)))) x)))
(+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) x))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x))) x))) #s(literal 3 binary64))
(+.f64 #s(literal 1/8 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (+.f64 y #s(literal -1/2 binary64)))) x)))
(+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) x))
(pow.f64 (pow.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x))) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/8 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (+.f64 y #s(literal -1/2 binary64)))) x)))
(+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) x))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x))) x))) #s(literal 2 binary64))
(+.f64 #s(literal 1/8 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (+.f64 y #s(literal -1/2 binary64)))) x)))
(+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) x))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x))) x)) #s(literal 2 binary64)))
(fabs.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) x)))
(log.f64 (exp.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x))) x))))
(+.f64 #s(literal 1/8 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (+.f64 y #s(literal -1/2 binary64)))) x)))
(+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x))) x)))))
(+.f64 #s(literal 1/8 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (+.f64 y #s(literal -1/2 binary64)))) x)))
(+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) x))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x))) x)) #s(literal 3 binary64)))
(+.f64 #s(literal 1/8 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (+.f64 y #s(literal -1/2 binary64)))) x)))
(+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) x))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x))) x))))
(+.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) x)) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x))) x))))
(+.f64 #s(literal 1/8 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (+.f64 y #s(literal -1/2 binary64)))) x)))
(+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) x))
(exp.f64 (log.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x))) x))))
(+.f64 #s(literal 1/8 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (+.f64 y #s(literal -1/2 binary64)))) x)))
(+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) x))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x))) x))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/8 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (+.f64 y #s(literal -1/2 binary64)))) x)))
(+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) x))

eval194.0ms (1.8%)

Compiler: Compiled 15974 to 2869 computations (82% saved)

prune296.0ms (2.8%)

Pruning

20 alts after pruning (9 fresh and 11 done)

	Pruned	Kept	Total
New	833	5	838
Fresh	1	4	5
Picked	1	4	5
Done	0	7	7
Total	835	20	855

Accuracy

99.7%

Counts

855 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.0%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
✓	50.8%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	85.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)))
	36.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 y) (pow.f64 (pow.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))))
	74.7%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 (neg.f64 y) (/.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (neg.f64 x)))))
✓	85.6%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 (neg.f64 y) (+.f64 x (.f64 (/.f64 x y) #s(literal -1/2 binary64)))))
	51.8%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 (neg.f64 y) (+.f64 x (exp.f64 (log.f64 (.f64 x (/.f64 #s(literal -1/2 binary64) y)))))))
	42.5%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 y)))) (+.f64 x (.f64 (/.f64 x y) #s(literal -1/2 binary64)))))
✓	85.6%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
✓	53.9%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))
	41.1%	(.f64 (.f64 x x) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (+.f64 y #s(literal -1/2 binary64)) (/.f64 (log1p.f64 #s(literal 1 binary64)) x)) x)))
✓	50.6%	(*.f64 y (neg.f64 x))
✓	2.4%	(*.f64 y x)
	81.0%	(.f64 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))
✓	92.0%	(*.f64 x (-.f64 (/.f64 (log1p.f64 #s(literal 1 binary64)) x) y))
	37.5%	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
✓	3.5%	(*.f64 x #s(literal 1/2 binary64))
	49.9%	(log1p.f64 (+.f64 x #s(literal 1 binary64)))
✓	51.2%	(log1p.f64 (exp.f64 x))
✓	50.2%	(log1p.f64 #s(literal 1 binary64))

Compiler

Compiled 515 to 272 computations (47.2% saved)

regimes123.0ms (1.1%)

Counts

30 → 1

Calls

Call 1

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

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

Calls

3 calls:

83.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
30.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`y`
98.8%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes21.0ms (0.2%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	x
6.0ms	y
6.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`y`
98.8%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes18.0ms (0.2%)

Counts

18 → 2

Calls

Call 1

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

11.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
99.2%	2	`x`
92.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
98.4%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes95.0ms (0.9%)

Counts

7 → 4

Calls

Call 1

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

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

Calls

2 calls:

60.0ms	x
34.0ms	y

Results

Accuracy	Segments	Branch
73.9%	3	`y`
82.7%	4	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
82.7%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
82.1%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
50.6%	1	`y`
50.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -1.0b remaining (-1.7%)

Threshold costs -1b (-1.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
3.5%	1	`y`
3.5%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch30.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-51302669229755070.0	-116280778615.62564

Results

7.0ms	81×	0	valid
16.0ms	63×	1	valid

Compiler

Compiled 214 to 165 computations (22.9% saved)

Precisions

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

ival-log: 9.0ms (54.8% of total)

ival-exp: 2.0ms (12.2% of total)

ival-mult: 2.0ms (12.2% of total)

ival-add: 1.0ms (6.1% of total)

ival-sub: 1.0ms (6.1% of total)

backward-pass: 1.0ms (6.1% of total)

const: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-51302669229755070.0	-116280778615.62564

Results

7.0ms	78×	0	valid
16.0ms	66×	1	valid

Compiler

Compiled 178 to 138 computations (22.5% saved)

Precisions

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

ival-log: 8.0ms (49.5% of total)

ival-sub: 2.0ms (12.4% of total)

ival-mult: 2.0ms (12.4% of total)

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

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

backward-pass: 1.0ms (6.2% of total)

const: 0.0ms (0% of total)

bsearch71.0ms (0.7%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
70.0ms	-2.0960465809900455e+24	-1.4904738119324244e+20

Results

5.0ms	74×	0	valid
60.0ms	54×	1	valid

Compiler

Compiled 144 to 108 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-add: 20.0ms (64.1% of total)

ival-log: 6.0ms (19.2% of total)

ival-mult: 2.0ms (6.4% of total)

ival-exp: 1.0ms (3.2% of total)

ival-sub: 1.0ms (3.2% of total)

backward-pass: 1.0ms (3.2% of total)

const: 0.0ms (0% of total)

bsearch89.0ms (0.8%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	3.9687614786792065e-28	8.157810798235571e-25
12.0ms	1.067920061970795e-54	2.778974986162078e-53
41.0ms	-1.565078348122973e-67	-4.0640942730773795e-71

Results

45.0ms

368×

valid

Compiler

Compiled 339 to 281 computations (17.1% saved)

Precisions

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

ival-log: 5.0ms (32.2% of total)

ival-exp: 3.0ms (19.3% of total)

ival-mult: 3.0ms (19.3% of total)

ival-sub: 2.0ms (12.9% of total)

ival-add: 2.0ms (12.9% of total)

const: 0.0ms (0% of total)

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

bsearch80.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	3.9687614786792065e-28	8.157810798235571e-25
29.0ms	1.067920061970795e-54	2.778974986162078e-53
17.0ms	-1.565078348122973e-67	-4.0640942730773795e-71

Results

64.0ms

368×

valid

Compiler

Compiled 323 to 265 computations (18% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-log: 22.0ms (41.2% of total)

ival-add: 19.0ms (35.6% of total)

ival-sub: 5.0ms (9.4% of total)

ival-exp: 3.0ms (5.6% of total)

ival-mult: 3.0ms (5.6% of total)

const: 0.0ms (0% of total)

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

bsearch54.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	1.067920061970795e-54	2.778974986162078e-53
22.0ms	-1.565078348122973e-67	-4.0640942730773795e-71

Results

44.0ms

240×

valid

Compiler

Compiled 203 to 169 computations (16.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-sub: 19.0ms (66.7% of total)

ival-log: 3.0ms (10.5% of total)

ival-exp: 2.0ms (7% of total)

ival-add: 2.0ms (7% of total)

ival-mult: 2.0ms (7% of total)

const: 0.0ms (0% of total)

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

simplify33.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative`
9×	`*-commutative`
7×	`sub-neg`
4×	`cancel-sign-sub-inv`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	523
1	101	523
2	115	523
3	119	523
4	120	523

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 -118000000000 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 -118000000000 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 -150000000000000000000 binary64)) (.f64 y (neg.f64 x)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x y)))
(if (<=.f64 x #s(literal -5828006676677187/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 x #s(literal 4572406954748749/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) (log1p.f64 #s(literal 1 binary64)) (if (<=.f64 x #s(literal 4573395011417413/43556142965880123323311949751266331066368 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 x #s(literal -1942668892225729/60708402882054033466233184588234965832575213720379360039119137804340758912662765568 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 x #s(literal 8627182933488205/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (log1p.f64 #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3972320238488267/696898287454081973172991196020261297061888 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log1p.f64 (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal -3419097250317283/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 x #s(literal 463711082674991/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (log1p.f64 #s(literal 1 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(*.f64 y (neg.f64 x))
(*.f64 x #s(literal 1/2 binary64))

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 -118000000000 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 -118000000000 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 -118000000000 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 -118000000000 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 -118000000000 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 -150000000000000000000 binary64)) (.f64 y (neg.f64 x)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x y)))
(if (<=.f64 x #s(literal -150000000000000000000 binary64)) (.f64 x (neg.f64 y)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x y)))
(if (<=.f64 x #s(literal -5828006676677187/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 x #s(literal 4572406954748749/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) (log1p.f64 #s(literal 1 binary64)) (if (<=.f64 x #s(literal 4573395011417413/43556142965880123323311949751266331066368 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 x #s(literal -5828006676677187/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 x #s(literal 4572406954748749/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) (log1p.f64 #s(literal 1 binary64)) (if (<=.f64 x #s(literal 4573395011417413/43556142965880123323311949751266331066368 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal -5828006676677187/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 x #s(literal 4572406954748749/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) (log1p.f64 #s(literal 1 binary64)) (if (<=.f64 x #s(literal 4573395011417413/43556142965880123323311949751266331066368 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal -1942668892225729/60708402882054033466233184588234965832575213720379360039119137804340758912662765568 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 x #s(literal 8627182933488205/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (log1p.f64 #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3972320238488267/696898287454081973172991196020261297061888 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log1p.f64 (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal -1942668892225729/60708402882054033466233184588234965832575213720379360039119137804340758912662765568 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 x #s(literal 8627182933488205/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (log1p.f64 #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3972320238488267/696898287454081973172991196020261297061888 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log1p.f64 (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal -3419097250317283/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 x #s(literal 463711082674991/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (log1p.f64 #s(literal 1 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal -3419097250317283/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 x #s(literal 463711082674991/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (log1p.f64 #s(literal 1 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 x #s(literal 1/2 binary64))

soundness953.0ms (8.9%)

Rules

624×	`fma-define`
596×	`fma-neg`
579×	`distribute-lft-in`
504×	`distribute-lft-neg-in`
482×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	499	9353
1	1112	9052
2	3835	8321
0	1091	12884925750
1	2470	12884924604
0	713	15866
1	1604	15028
2	5060	14963
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×	fuel
1×	saturated
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 360 to 156 computations (56.7% saved)

preprocess85.0ms (0.8%)

Compiler: Compiled 374 to 170 computations (54.5% 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	12	71
1	21	71
2	38	71
3	56	71
4	75	71
5	109	71
6	163	71
7	213	71
8	281	71
9	356	71
10	410	71
11	425	71
0	12	66
1	22	66
2	35	66
3	55	66
4	76	66
5	100	66
6	130	66
7	182	66
8	223	66
9	273	66
10	350	66
11	406	66
12	421	66

Iter	Nodes	Cost
0	12	50
1	26	50
2	37	50
3	55	50
4	74	50
5	108	50
6	162	50
7	210	50
8	274	50
9	347	50
10	393	50
11	399	50
0	8	21
1	9	21
0	11	37
1	15	37
2	16	37
0	14	98
1	24	82
2	49	82
3	65	82
4	71	82
0	7	24
1	11	24
2	17	24

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	12	71
1	21	71
2	38	71
3	56	71
4	75	71
5	109	71
6	163	71
7	213	71
8	281	71
9	356	71
10	410	71
11	425	71
0	12	66
1	22	66
2	35	66
3	55	66
4	76	66
5	100	66
6	130	66
7	182	66
8	223	66
9	273	66
10	350	66
11	406	66
12	421	66

Iter	Nodes	Cost
0	12	50
1	26	50
2	37	50
3	55	50
4	74	50
5	108	50
6	162	50
7	210	50
8	274	50
9	347	50
10	393	50
11	399	50
0	8	21
1	9	21
0	11	37
1	15	37
2	16	37
0	14	98
1	24	82
2	49	82
3	65	82
4	71	82
0	7	24
1	11	24
2	17	24

analyze147.0ms (1.4%)

sample3.7s (34.9%)

preprocess71.0ms (0.7%)

explain143.0ms (1.3%)

eval0.0ms (0%)

prune3.0ms (0%)

localize84.0ms (0.8%)

series70.0ms (0.6%)

rewrite275.0ms (2.6%)

simplify231.0ms (2.2%)

eval67.0ms (0.6%)

prune75.0ms (0.7%)

localize552.0ms (5.1%)

series64.0ms (0.6%)

rewrite258.0ms (2.4%)

simplify223.0ms (2.1%)

eval123.0ms (1.1%)

prune180.0ms (1.7%)

localize208.0ms (1.9%)

series12.0ms (0.1%)

rewrite164.0ms (1.5%)

simplify174.0ms (1.6%)

eval70.0ms (0.7%)

prune126.0ms (1.2%)

localize616.0ms (5.7%)

series116.0ms (1.1%)

rewrite295.0ms (2.7%)

simplify446.0ms (4.1%)

eval194.0ms (1.8%)

prune296.0ms (2.8%)

regimes123.0ms (1.1%)

regimes21.0ms (0.2%)

regimes18.0ms (0.2%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

regimes95.0ms (0.9%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

regimes3.0ms (0%)

bsearch30.0ms (0.3%)

bsearch30.0ms (0.3%)

bsearch71.0ms (0.7%)

bsearch89.0ms (0.8%)

bsearch80.0ms (0.7%)

bsearch54.0ms (0.5%)

simplify33.0ms (0.3%)

soundness953.0ms (8.9%)

preprocess85.0ms (0.8%)

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	12	71
1	21	71
2	38	71
3	56	71
4	75	71
5	109	71
6	163	71
7	213	71
8	281	71
9	356	71
10	410	71
11	425	71
0	12	66
1	22	66
2	35	66
3	55	66
4	76	66
5	100	66
6	130	66
7	182	66
8	223	66
9	273	66
10	350	66
11	406	66
12	421	66

Iter	Nodes	Cost
0	12	50
1	26	50
2	37	50
3	55	50
4	74	50
5	108	50
6	162	50
7	210	50
8	274	50
9	347	50
10	393	50
11	399	50
0	8	21
1	9	21
0	11	37
1	15	37
2	16	37
0	14	98
1	24	82
2	49	82
3	65	82
4	71	82
0	7	24
1	11	24
2	17	24