Metrics for logq (problem 3.4.3)

analyze4.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
0%	0%	50%	50%	0%	0%	0%	2
50%	25%	25%	50%	0%	0%	0%	3
75%	37.5%	12.5%	50%	0%	0%	0%	4
87.5%	43.7%	6.2%	50%	0%	0%	0%	5
93.8%	46.8%	3.1%	50%	0%	0%	0%	6
96.9%	48.4%	1.6%	50%	0%	0%	0%	7
98.4%	49.2%	0.8%	50%	0%	0%	0%	8
99.2%	49.6%	0.4%	50%	0%	0%	0%	9
99.6%	49.8%	0.2%	50%	0%	0%	0%	10
99.8%	49.9%	0.1%	50%	0%	0%	0%	11
99.9%	49.9%	0%	50%	0%	0%	0%	12

Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-log: 1.0ms (51.5% of total)

ival-sub: 0.0ms (0% of total)

ival-div: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

ival-fabs: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

ival-<: 0.0ms (0% of total)

sample2.9s (36.8%)

Results

1.6s	6146×	1	valid
840.0ms	1917×	2	valid
14.0ms	193×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.0s

ival-log: 986.0ms (48.2% of total)

backward-pass: 309.0ms (15.1% of total)

ival-sub: 271.0ms (13.3% of total)

ival-div: 149.0ms (7.3% of total)

ival-add: 110.0ms (5.4% of total)

ival-fabs: 104.0ms (5.1% of total)

ival-<: 100.0ms (4.9% of total)

const: 15.0ms (0.7% of total)

Bogosity

preprocess81.0ms (1%)

Algorithm

1×	egg-herbie

Rules

315×	`fma-define`
222×	`fma-neg`
80×	`times-frac`
67×	`associate-l`
62×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	128
1	38	120
2	63	120
3	127	120
4	256	120
5	592	120
6	1257	120
7	1498	120
8	1578	120

Stop Event

1×

saturated

Calls

Call 1

Inputs
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 eps)) (+.f64 #s(literal 1 binary64) (neg.f64 eps))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 eps)) (+.f64 #s(literal 1 binary64) (neg.f64 eps)))))

Outputs
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 eps)) (+.f64 #s(literal 1 binary64) (neg.f64 eps))))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 eps)) (-.f64 #s(literal 1 binary64) eps)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 eps)) (+.f64 #s(literal 1 binary64) (neg.f64 eps)))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 eps)) (-.f64 #s(literal 1 binary64) eps))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))

explain181.0ms (2.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
256	-	-	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
0	-	-	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`
0	-	-	`(-.f64 #s(literal 1 binary64) eps)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`eps`
0	-	-	`(+.f64 #s(literal 1 binary64) eps)`

Results

92.0ms	384×	1	valid
43.0ms	110×	2	valid
1.0ms	18×	0	valid

Compiler

Compiled 59 to 20 computations (66.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-log: 56.0ms (56.6% of total)

ival-add: 13.0ms (13.1% of total)

backward-pass: 11.0ms (11.1% of total)

ival-div: 9.0ms (9.1% of total)

ival-sub: 8.0ms (8.1% of total)

const: 1.0ms (1% of total)

eval2.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.7%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 #s(literal 1 binary64) eps)
✓	cost-diff	(-.f64 #s(literal 1 binary64) eps)
✓	cost-diff	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
✓	cost-diff	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Rules

162×	`fma-define`
129×	`fma-neg`
36×	`div-sub`
29×	`times-frac`
28×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	79
1	22	79
2	28	79
3	41	79
4	66	79
5	106	79
6	153	79
7	234	79
8	407	79
9	657	79
10	817	79
11	821	79

Stop Event

1×

saturated

Calls

Call 1

Inputs
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
(-.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(+.f64 #s(literal 1 binary64) eps)

Outputs
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
(-.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(+.f64 #s(literal 1 binary64) eps)

localize87.0ms (1.1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) eps)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) eps)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
✓	accuracy	8.7%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Results

46.0ms	192×	1	valid
22.0ms	55×	2	valid
1.0ms	9×	0	valid

Compiler

Compiled 25 to 7 computations (72% saved)

Precisions

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

ival-log: 27.0ms (55.9% of total)

ival-div: 6.0ms (12.4% of total)

ival-sub: 6.0ms (12.4% of total)

backward-pass: 6.0ms (12.4% of total)

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

const: 1.0ms (2.1% of total)

series68.0ms (0.9%)

Counts

4 → 45

Calls

Call 1

Inputs
#<alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))>
#<alt (-.f64 #s(literal 1 binary64) eps)>
#<alt (+.f64 #s(literal 1 binary64) eps)>

Outputs
#<alt (*.f64 #s(literal -2 binary64) eps)>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (.f64 eps (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/5 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(literal 2 binary64)))>
#<alt (.f64 eps (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2/5 binary64))) #s(literal 2/3 binary64))) #s(literal 2 binary64)))>
#<alt (log.f64 #s(literal -1 binary64))>
#<alt (-.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))) eps)))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (log.f64 #s(literal -1 binary64))>
#<alt (-.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))) eps)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 eps #s(literal 4 binary64))) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) eps)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) eps))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) eps))) #s(literal 2 binary64))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) eps)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) eps)) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))>
#<alt (*.f64 #s(literal -1 binary64) eps)>
#<alt (*.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))>
#<alt (*.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))>
#<alt (*.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) eps)>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))>
#<alt #s(literal 1 binary64)>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(log (/ (- 1 eps) (+ 1 eps)))
1.0ms	eps	@	inf	(log (/ (- 1 eps) (+ 1 eps)))
0.0ms	eps	@	-inf	(log (/ (- 1 eps) (+ 1 eps)))
0.0ms	eps	@	inf	(/ (- 1 eps) (+ 1 eps))
0.0ms	eps	@	inf	(- 1 eps)

rewrite650.0ms (8.2%)

Algorithm

1×	batch-egg-rewrite

Rules

705×	`log1p-expm1-u`
705×	`expm1-log1p-u`
606×	`unpow-prod-down`
333×	`log-prod`
322×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	74
1	133	70
2	1866	70

Stop Event

1×	node limit

Counts

4 → 417

Calls

Call 1

Inputs
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
(-.f64 #s(literal 1 binary64) eps)
(+.f64 #s(literal 1 binary64) eps)

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

simplify611.0ms (7.7%)

Algorithm

1×	egg-herbie

Rules

664×	`times-frac`
537×	`associate-r`
486×	`associate-l`
276×	`fma-define`
187×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1116	23455
1	2420	19159

Stop Event

1×	node limit

Counts

462 → 613

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) eps)
(.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 eps (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/5 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(literal 2 binary64)))
(.f64 eps (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2/5 binary64))) #s(literal 2/3 binary64))) #s(literal 2 binary64)))
(log.f64 #s(literal -1 binary64))
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(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (+.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) eps))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) eps))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 1 binary64)) (fma.f64 eps (+.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) eps))) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) eps)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) eps)))
(.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (sqrt.f64 (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (sqrt.f64 (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) eps))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) eps))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) eps))) (sqrt.f64 (-.f64 #s(literal 1 binary64) eps)))
(pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) eps))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) eps)))
(hypot.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) eps)) (hypot.f64 eps (sqrt.f64 eps)))
(hypot.f64 (hypot.f64 eps (sqrt.f64 eps)) (sqrt.f64 (+.f64 #s(literal 1 binary64) eps)))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) eps)))
(exp.f64 (log1p.f64 eps))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 eps)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log1p.f64 eps)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 eps)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) eps #s(literal 1 binary64))
(fma.f64 eps #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) #s(literal 1 binary64))

Outputs
(*.f64 #s(literal -2 binary64) eps)
(.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 eps (fma.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -2 binary64)))
(.f64 eps (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/5 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(literal 2 binary64)))
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -2/5 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(.f64 eps (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2/5 binary64))) #s(literal 2/3 binary64))) #s(literal 2 binary64)))
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(log.f64 #s(literal -1 binary64))
(-.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps))
(+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))) eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) eps))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/5 binary64) (pow.f64 eps #s(literal 2 binary64)))) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) eps)))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/5 binary64) (pow.f64 eps #s(literal 2 binary64)))) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) eps))
(log.f64 #s(literal -1 binary64))
(-.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps))
(+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))) eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) eps))
(+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 eps #s(literal 4 binary64))) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 2/5 binary64) (pow.f64 eps #s(literal 4 binary64))))) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 2/5 binary64) (pow.f64 eps #s(literal 4 binary64))))) eps))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) eps))
(+.f64 (*.f64 #s(literal -2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) eps #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 #s(literal 2 binary64) eps #s(literal -2 binary64))))
(fma.f64 eps (fma.f64 eps #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) eps))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 eps (fma.f64 eps (+.f64 (.f64 #s(literal -2 binary64) eps) #s(literal 2 binary64)) #s(literal -2 binary64))))
(fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -2 binary64) eps #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal -1 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 2 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 2 binary64) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(-.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 2 binary64) eps) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal -1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps) #s(literal -1 binary64))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) eps) #s(literal 2 binary64)) eps) #s(literal -1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps) #s(literal -2 binary64)) eps) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) eps) #s(literal 2 binary64)) eps) #s(literal -2 binary64)) eps) #s(literal -1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))
(-.f64 #s(literal 1 binary64) eps)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))
(-.f64 #s(literal 1 binary64) eps)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))
(-.f64 #s(literal 1 binary64) eps)
(*.f64 #s(literal -1 binary64) eps)
(neg.f64 eps)
(*.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) eps)
(*.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) eps)
(*.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) eps)
(*.f64 #s(literal -1 binary64) eps)
(neg.f64 eps)
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 eps (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 eps (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 eps (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
#s(literal 1 binary64)
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps #s(literal 1 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps #s(literal 1 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps #s(literal 1 binary64))
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps #s(literal 1 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps #s(literal 1 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps #s(literal 1 binary64))
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) #s(literal 0 binary64))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) eps))
(/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64)))
(/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) eps))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) eps))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) eps))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) eps))) (sqrt.f64 (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) eps))
(pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) eps))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))
(fabs.f64 (+.f64 eps #s(literal 1 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) eps)))
(expm1.f64 (log1p.f64 (+.f64 eps #s(literal 1 binary64))))
(+.f64 (+.f64 #s(literal 2 binary64) eps) #s(literal -1 binary64))
(hypot.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) eps)) (hypot.f64 eps (sqrt.f64 eps)))
(sqrt.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))
(fabs.f64 (+.f64 eps #s(literal 1 binary64)))
(hypot.f64 (hypot.f64 eps (sqrt.f64 eps)) (sqrt.f64 (+.f64 #s(literal 1 binary64) eps)))
(sqrt.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))
(fabs.f64 (+.f64 eps #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps #s(literal 1 binary64))
(exp.f64 (log1p.f64 eps))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps #s(literal 1 binary64))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 eps)) #s(literal 3 binary64)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps #s(literal 1 binary64))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log1p.f64 eps)) #s(literal 1/3 binary64)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps #s(literal 1 binary64))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 eps)) #s(literal 2 binary64)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) eps #s(literal 1 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps #s(literal 1 binary64))
(fma.f64 eps #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps #s(literal 1 binary64))
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) #s(literal 1 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps #s(literal 1 binary64))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) #s(literal 1 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps #s(literal 1 binary64))

eval91.0ms (1.1%)

Compiler: Compiled 13723 to 2217 computations (83.8% saved)

prune73.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	609	4	613
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	609	5	614

Accuracy

100.0%

Counts

614 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (log1p.f64 (neg.f64 (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (log1p.f64 eps)))
▶	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶	99.9%	(.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))
▶	98.9%	(*.f64 #s(literal -2 binary64) eps)
✓	8.7%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Compiler

Compiled 41 to 29 computations (29.3% saved)

simplify111.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (log1p.f64 eps))
✓	cost-diff	0	(pow.f64 eps #s(literal 2 binary64))
✓	cost-diff	0	(neg.f64 (pow.f64 eps #s(literal 2 binary64)))
✓	cost-diff	0	(log1p.f64 (neg.f64 (pow.f64 eps #s(literal 2 binary64))))
✓	cost-diff	0	(log1p.f64 eps)
✓	cost-diff	0	(neg.f64 eps)
✓	cost-diff	0	(log1p.f64 (neg.f64 eps))
✓	cost-diff	0	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓	cost-diff	-6272	(-.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))
✓	cost-diff	-6272	(.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))
✓	cost-diff	0	(pow.f64 eps #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) eps)

Rules

727×	`fma-neg`
607×	`fma-define`
434×	`sub-neg`
392×	`distribute-lft-out--`
380×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	255
1	50	255
2	87	251
3	145	251
4	202	251
5	268	251
6	488	251
7	879	251
8	1541	251
9	2680	251
10	5538	251
11	7237	251

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) eps)
#s(literal -2 binary64)
eps
(.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))
eps
(-.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal -2/3 binary64)
(pow.f64 eps #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(log1p.f64 (neg.f64 eps))
(neg.f64 eps)
eps
(log1p.f64 eps)
(-.f64 (log1p.f64 (neg.f64 (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (log1p.f64 eps)))
(log1p.f64 (neg.f64 (pow.f64 eps #s(literal 2 binary64))))
(neg.f64 (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 eps #s(literal 2 binary64))
eps
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (log1p.f64 eps))
(log1p.f64 eps)

Outputs
(*.f64 #s(literal -2 binary64) eps)
#s(literal -2 binary64)
eps
(.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 eps (fma.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) eps (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))
eps
(-.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal -2/3 binary64)
(pow.f64 eps #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(log1p.f64 (neg.f64 eps))
(neg.f64 eps)
eps
(log1p.f64 eps)
(-.f64 (log1p.f64 (neg.f64 (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (log1p.f64 eps)))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (log1p.f64 eps)))
(fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (neg.f64 (pow.f64 eps #s(literal 2 binary64)))))
(log1p.f64 (neg.f64 (pow.f64 eps #s(literal 2 binary64))))
(neg.f64 (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 eps #s(literal 2 binary64))
eps
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (log1p.f64 eps))
(log1p.f64 eps)

localize110.0ms (1.4%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 (pow.f64 eps #s(literal 2 binary64)))
✓	accuracy	100.0%	(log1p.f64 eps)
✓	accuracy	100.0%	(-.f64 (log1p.f64 (neg.f64 (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (log1p.f64 eps)))
✓	accuracy	100.0%	(log1p.f64 (neg.f64 (pow.f64 eps #s(literal 2 binary64))))
✓	accuracy	100.0%	(neg.f64 eps)
✓	accuracy	100.0%	(log1p.f64 (neg.f64 eps))
✓	accuracy	100.0%	(log1p.f64 eps)
✓	accuracy	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓	accuracy	100.0%	(pow.f64 eps #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))
✓	accuracy	99.7%	(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) eps)

Results

88.0ms

256×

valid

Compiler

Compiled 78 to 18 computations (76.9% saved)

Precisions

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

ival-pow: 33.0ms (56.4% of total)

ival-mult: 8.0ms (13.7% of total)

ival-log1p: 5.0ms (8.5% of total)

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

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

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

const: 1.0ms (1.7% of total)

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

series27.0ms (0.3%)

Counts

13 → 114

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal -2 binary64) eps)>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (-.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))>
#<alt (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))>
#<alt (log1p.f64 (neg.f64 eps))>
#<alt (neg.f64 eps)>
#<alt (log1p.f64 eps)>
#<alt (log1p.f64 (neg.f64 (pow.f64 eps #s(literal 2 binary64))))>
#<alt (neg.f64 (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (log1p.f64 eps))>
#<alt (-.f64 (log1p.f64 (neg.f64 (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (log1p.f64 eps)))>

Outputs
#<alt (*.f64 #s(literal -2 binary64) eps)>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt #s(literal -2 binary64)>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -2 binary64) eps)>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (.f64 eps (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/5 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(literal 2 binary64)))>
#<alt (.f64 eps (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2/5 binary64))) #s(literal 2/3 binary64))) #s(literal 2 binary64)))>
#<alt (log.f64 #s(literal -1 binary64))>
#<alt (-.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))) eps)))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))) eps)) (log.f64 #s(literal -1 binary64)))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 eps #s(literal 4 binary64))) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) eps)) (log.f64 #s(literal -1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) eps)>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)))>
#<alt (.f64 eps (-.f64 (.f64 eps (-.f64 (*.f64 #s(literal -1/3 binary64) eps) #s(literal 1/2 binary64))) #s(literal 1 binary64)))>
#<alt (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal 1 binary64) eps))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps))) eps))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps))) (pow.f64 eps #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) eps))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps)))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps))) eps)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)))) eps)))>
#<alt (*.f64 #s(literal -1 binary64) eps)>
#<alt (*.f64 #s(literal -1 binary64) eps)>
#<alt (*.f64 #s(literal -1 binary64) eps)>
#<alt (*.f64 #s(literal -1 binary64) eps)>
#<alt (*.f64 #s(literal -1 binary64) eps)>
#<alt (*.f64 #s(literal -1 binary64) eps)>
#<alt (*.f64 #s(literal -1 binary64) eps)>
#<alt (*.f64 #s(literal -1 binary64) eps)>
#<alt (*.f64 #s(literal -1 binary64) eps)>
#<alt (*.f64 #s(literal -1 binary64) eps)>
#<alt (*.f64 #s(literal -1 binary64) eps)>
#<alt (*.f64 #s(literal -1 binary64) eps)>
#<alt eps>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) eps)))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal 1/3 binary64) eps) #s(literal 1/2 binary64)))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) eps))) #s(literal 1/2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) eps) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) eps))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)) eps)) #s(literal 1 binary64)) eps))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 eps #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps)))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 eps #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (.f64 eps (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) eps)))>
#<alt (.f64 eps (+.f64 #s(literal 2 binary64) (.f64 eps (-.f64 (*.f64 #s(literal 2/3 binary64) eps) #s(literal 1 binary64)))))>
#<alt (.f64 eps (+.f64 #s(literal 2 binary64) (.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal -1/2 binary64) eps))) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps)))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) eps)) (.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) eps)) #s(literal 2 binary64)) eps)) (.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))))))>
#<alt (*.f64 #s(literal -2 binary64) eps)>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (.f64 eps (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/5 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(literal 2 binary64)))>
#<alt (.f64 eps (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2/5 binary64))) #s(literal 2/3 binary64))) #s(literal 2 binary64)))>
#<alt (log.f64 #s(literal -1 binary64))>
#<alt (-.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))) eps)))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps)))) (+.f64 (.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))) eps)))) (.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 eps #s(literal 4 binary64))) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) eps)))) (.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))))))>

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	(* -2/3 (pow eps 2))
2.0ms	eps	@	0	(- (log (+ 1 (neg eps))) (log (+ 1 eps)))
1.0ms	eps	@	0	(log (+ 1 (neg (pow eps 2))))
1.0ms	eps	@	inf	(log (+ 1 (neg (pow eps 2))))
1.0ms	eps	@	inf	(* eps (- (* -2/3 (pow eps 2)) 2))

rewrite250.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

863×	`log1p-expm1-u`
863×	`expm1-log1p-u`
507×	`fma-define`
240×	`fma-neg`
143×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	217
1	332	193
2	4540	189

Stop Event

1×	node limit

Counts

13 → 435

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) eps)
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(log1p.f64 (neg.f64 eps))
(neg.f64 eps)
(log1p.f64 eps)
(log1p.f64 (neg.f64 (pow.f64 eps #s(literal 2 binary64))))
(neg.f64 (pow.f64 eps #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (log1p.f64 eps))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (log1p.f64 eps)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) eps))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) eps)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) eps))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -2 binary64) eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) eps)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) eps)))
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) eps)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -2 binary64) eps)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -8/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 eps (sqrt.f64 #s(literal -2/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -8/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
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(fma.f64 (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 (neg.f64 (log1p.f64 eps)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps)) #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (log1p.f64 eps)))
(fma.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 (neg.f64 (log1p.f64 eps)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps)) #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)) (fma.f64 #s(literal 2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (log1p.f64 eps)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)) (fma.f64 #s(literal 2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)) (fma.f64 #s(literal 2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps)) #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)) (fma.f64 #s(literal 2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)) (fma.f64 #s(literal 2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (neg.f64 (log1p.f64 eps)) #s(literal 2 binary64) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (log1p.f64 eps)) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 (neg.f64 (log1p.f64 eps)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps)) #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) (.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (.f64 (cbrt.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps))) (cbrt.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps)))) (cbrt.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps))) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps))) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (-.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (fma.f64 (neg.f64 (log1p.f64 eps)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (-.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (-.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (fma.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps)) #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (-.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (-.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 (log1p.f64 eps)) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 eps)) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))

simplify135.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

591×	`associate-l`
583×	`associate-r`
313×	`associate-/r*`
309×	`distribute-lft-in`
302×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	879	6770
1	2017	6770

Stop Event

1×	node limit

Counts

549 → 462

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) eps)
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(literal -2 binary64)
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
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(.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
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(fma.f64 (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 (neg.f64 (log1p.f64 eps)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps)) #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (log1p.f64 eps)))
(fma.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 (neg.f64 (log1p.f64 eps)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps)) #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)) (fma.f64 #s(literal 2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (log1p.f64 eps)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)) (fma.f64 #s(literal 2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)) (fma.f64 #s(literal 2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps)) #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)) (fma.f64 #s(literal 2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)) (fma.f64 #s(literal 2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (neg.f64 (log1p.f64 eps)) #s(literal 2 binary64) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (log1p.f64 eps)) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 (neg.f64 (log1p.f64 eps)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps)) #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) (.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (.f64 (cbrt.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps))) (cbrt.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps)))) (cbrt.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps))) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps))) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (-.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (fma.f64 (neg.f64 (log1p.f64 eps)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (-.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (-.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (fma.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps)) #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (-.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (-.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 (log1p.f64 eps)) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 eps)) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))

Outputs
(*.f64 #s(literal -2 binary64) eps)
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -2 binary64) eps)
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(*.f64 #s(literal -2 binary64) eps)
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(*.f64 #s(literal -2 binary64) eps)
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(*.f64 #s(literal -2 binary64) eps)
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -2 binary64) eps)
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(*.f64 #s(literal -2 binary64) eps)
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(*.f64 #s(literal -2 binary64) eps)
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(*.f64 #s(literal -2 binary64) eps)
#s(literal -2 binary64)
(*.f64 #s(literal -2 binary64) eps)
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) eps)
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(*.f64 #s(literal -2 binary64) eps)
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(fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(*.f64 #s(literal -2 binary64) eps)
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps)) #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(*.f64 #s(literal -2 binary64) eps)
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(*.f64 #s(literal -2 binary64) eps)
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (log1p.f64 eps) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) (.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(*.f64 #s(literal -2 binary64) eps)
(fma.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) eps)
(fma.f64 (.f64 (cbrt.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps))) (cbrt.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps)))) (cbrt.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps))) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) eps)
(fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps))) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) eps)
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (-.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (fma.f64 (neg.f64 (log1p.f64 eps)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(*.f64 #s(literal -2 binary64) eps)
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (-.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(*.f64 #s(literal -2 binary64) eps)
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (-.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (fma.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps)) #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(*.f64 #s(literal -2 binary64) eps)
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (-.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(*.f64 #s(literal -2 binary64) eps)
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (-.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) (*.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(*.f64 #s(literal -2 binary64) eps)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps))) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) eps)
(fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 (log1p.f64 eps)) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 eps)) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) eps)
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) eps)

eval64.0ms (0.8%)

Compiler: Compiled 7974 to 1345 computations (83.1% saved)

prune65.0ms (0.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	500	4	504
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	502	7	509

Accuracy

100.0%

Counts

509 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (log1p.f64 eps))
▶	100.0%	(-.f64 (log1p.f64 (neg.f64 (.f64 eps eps))) (.f64 #s(literal 2 binary64) (log1p.f64 eps)))
✓	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶	99.9%	(+.f64 (.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) eps) (*.f64 #s(literal -2 binary64) eps))
▶	99.9%	(.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)))
✓	98.9%	(*.f64 #s(literal -2 binary64) eps)
✓	8.7%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Compiler

Compiled 72 to 52 computations (27.8% saved)

simplify284.0ms (3.6%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(-.f64 (*.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))
✓	cost-diff	-6272	(.f64 eps (-.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64)))
	cost-diff	0	(log1p.f64 eps)
✓	cost-diff	0	(*.f64 #s(literal -1/4 binary64) eps)
✓	cost-diff	-6336	(neg.f64 (*.f64 eps eps))
✓	cost-diff	-6336	(log1p.f64 (neg.f64 (*.f64 eps eps)))
	cost-diff	0	(log1p.f64 eps)
	cost-diff	0	(*.f64 #s(literal 2 binary64) (log1p.f64 eps))
	cost-diff	0	(*.f64 #s(literal -2 binary64) eps)
	cost-diff	0	(pow.f64 eps #s(literal 2 binary64))
	cost-diff	0	(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
✓	cost-diff	128	(.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) eps)
✓	cost-diff	-12608	(-.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) #s(literal 2 binary64))
✓	cost-diff	-12608	(.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)))
✓	cost-diff	-6336	(*.f64 eps eps)
✓	cost-diff	-6336	(.f64 #s(literal -2/3 binary64) (.f64 eps eps))

Rules

570×	`fma-define`
525×	`cancel-sign-sub-inv`
515×	`fma-neg`
480×	`associate-+l-`
433×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	525
1	91	516
2	154	512
3	291	512
4	558	512
5	1302	512
6	3253	512
7	6010	512
8	6807	512
9	7045	512
10	7055	512
11	7059	512
12	7062	512
13	7062	512
14	7062	512

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)))
eps
(-.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) #s(literal 2 binary64))
(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
#s(literal -2/3 binary64)
(*.f64 eps eps)
#s(literal 2 binary64)
(+.f64 (.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) eps) (*.f64 #s(literal -2 binary64) eps))
(.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) eps)
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal -2/3 binary64)
(pow.f64 eps #s(literal 2 binary64))
eps
#s(literal 2 binary64)
(*.f64 #s(literal -2 binary64) eps)
#s(literal -2 binary64)
(-.f64 (log1p.f64 (neg.f64 (.f64 eps eps))) (.f64 #s(literal 2 binary64) (log1p.f64 eps)))
(log1p.f64 (neg.f64 (*.f64 eps eps)))
(neg.f64 (*.f64 eps eps))
(*.f64 eps eps)
eps
(*.f64 #s(literal 2 binary64) (log1p.f64 eps))
#s(literal 2 binary64)
(log1p.f64 eps)
(-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (log1p.f64 eps))
(.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
eps
(-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (*.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 eps (-.f64 (.f64 eps (-.f64 (*.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
(-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))
(.f64 eps (-.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64)))
(-.f64 (*.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/4 binary64) eps)
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(log1p.f64 eps)

Outputs
(.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)))
(*.f64 eps (fma.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 eps #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))
eps
(-.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) #s(literal 2 binary64))
(fma.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -2 binary64))
(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal -2/3 binary64)
(*.f64 eps eps)
(pow.f64 eps #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) eps) (*.f64 #s(literal -2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 eps #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))
(.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) eps)
(.f64 eps (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal -2/3 binary64)
(pow.f64 eps #s(literal 2 binary64))
eps
#s(literal 2 binary64)
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps #s(literal -2 binary64))
#s(literal -2 binary64)
(-.f64 (log1p.f64 (neg.f64 (.f64 eps eps))) (.f64 #s(literal 2 binary64) (log1p.f64 eps)))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (log1p.f64 eps)))
(fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (neg.f64 (pow.f64 eps #s(literal 2 binary64)))))
(log1p.f64 (neg.f64 (*.f64 eps eps)))
(log1p.f64 (neg.f64 (pow.f64 eps #s(literal 2 binary64))))
(neg.f64 (*.f64 eps eps))
(neg.f64 (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps eps)
(pow.f64 eps #s(literal 2 binary64))
eps
(*.f64 #s(literal 2 binary64) (log1p.f64 eps))
#s(literal 2 binary64)
(log1p.f64 eps)
(-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (log1p.f64 eps))
(-.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/4 binary64) eps #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (log1p.f64 eps))
(-.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (log1p.f64 eps))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log1p.f64 eps)))
(.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/4 binary64) eps #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
eps
(-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (*.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/4 binary64) eps #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(.f64 eps (-.f64 (.f64 eps (-.f64 (*.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/4 binary64) eps #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))
(fma.f64 eps (fma.f64 #s(literal -1/4 binary64) eps #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(.f64 eps (-.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64)))
(*.f64 eps (fma.f64 #s(literal -1/4 binary64) eps #s(literal -1/3 binary64)))
(*.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)))
(-.f64 (*.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) eps #s(literal -1/3 binary64))
(fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/4 binary64) eps)
(*.f64 eps #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(log1p.f64 eps)

localize158.0ms (2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (*.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))
✓	accuracy	100.0%	(.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(.f64 eps (-.f64 (.f64 eps (-.f64 (*.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
✓	accuracy	99.5%	(.f64 eps (-.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64)))
✓	accuracy	100.0%	(neg.f64 (*.f64 eps eps))
	accuracy	100.0%	(log1p.f64 eps)
✓	accuracy	100.0%	(-.f64 (log1p.f64 (neg.f64 (.f64 eps eps))) (.f64 #s(literal 2 binary64) (log1p.f64 eps)))
✓	accuracy	100.0%	(log1p.f64 (neg.f64 (*.f64 eps eps)))
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) eps) (*.f64 #s(literal -2 binary64) eps))
	accuracy	100.0%	(*.f64 #s(literal -2 binary64) eps)
✓	accuracy	99.8%	(.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) eps)
	accuracy	99.7%	(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
✓	accuracy	100.0%	(-.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	100.0%	(.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)))
✓	accuracy	99.7%	(.f64 #s(literal -2/3 binary64) (.f64 eps eps))

Results

82.0ms

256×

valid

Compiler

Compiled 180 to 31 computations (82.8% saved)

Precisions

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

ival-mult: 22.0ms (46.2% of total)

ival-sub: 8.0ms (16.8% of total)

...c/correct-round.rkt:119:19: 8.0ms (16.8% of total)

ival-log1p: 3.0ms (6.3% of total)

ival-pow: 3.0ms (6.3% of total)

ival-add: 1.0ms (2.1% of total)

const: 1.0ms (2.1% of total)

ival-neg: 1.0ms (2.1% of total)

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

series22.0ms (0.3%)

Counts

14 → 147

Calls

Call 1

Inputs
#<alt (.f64 #s(literal -2/3 binary64) (.f64 eps eps))>
#<alt (*.f64 eps eps)>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)))>
#<alt (-.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) #s(literal 2 binary64))>
#<alt (.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) eps)>
#<alt (log1p.f64 (neg.f64 (*.f64 eps eps)))>
#<alt (neg.f64 (*.f64 eps eps))>
#<alt (*.f64 #s(literal -1/4 binary64) eps)>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64)))>
#<alt (-.f64 (*.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))>
#<alt (+.f64 (.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) eps) (*.f64 #s(literal -2 binary64) eps))>
#<alt (-.f64 (log1p.f64 (neg.f64 (.f64 eps eps))) (.f64 #s(literal 2 binary64) (log1p.f64 eps)))>
#<alt (.f64 eps (-.f64 (.f64 eps (-.f64 (*.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))>

Outputs
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -2 binary64) eps)>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt #s(literal -2 binary64)>
#<alt (-.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))>
#<alt (-.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))>
#<alt (-.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 eps #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps)))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 eps #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) eps)>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps)))))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps)))))>
#<alt #s(literal -1/3 binary64)>
#<alt (*.f64 #s(literal -1/4 binary64) eps)>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps)))))>
#<alt (*.f64 #s(literal -1/4 binary64) eps)>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps)))))>
#<alt (*.f64 #s(literal -2 binary64) eps)>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -2 binary64) eps)>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (.f64 eps (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/5 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(literal 2 binary64)))>
#<alt (.f64 eps (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2/5 binary64))) #s(literal 2/3 binary64))) #s(literal 2 binary64)))>
#<alt (log.f64 #s(literal -1 binary64))>
#<alt (-.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))) eps)))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps)))) (+.f64 (.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))) eps)))) (.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 eps #s(literal 4 binary64))) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) eps)))) (.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) eps))))))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -1/3 binary64) eps) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps)))))>
#<alt (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps))) eps)) #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps))) eps)) #s(literal 1/4 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps))))))>
#<alt (*.f64 #s(literal -1 binary64) eps)>
#<alt (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)))>
#<alt (.f64 eps (-.f64 (.f64 eps (-.f64 (*.f64 #s(literal -1/3 binary64) eps) #s(literal 1/2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps)))))>
#<alt (.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps))) eps)) #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps)))))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps)))))>
#<alt (.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps))) eps)) #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))) eps)) #s(literal 1/4 binary64)))>

Calls

42 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	inf	(+ (* (* -2/3 (pow eps 2)) eps) (* -2 eps))
2.0ms	eps	@	inf	(* -1/4 eps)
1.0ms	eps	@	inf	(* eps (- (* -1/4 eps) 1/3))
0.0ms	eps	@	0	(* (* -2/3 (pow eps 2)) eps)
0.0ms	eps	@	-inf	(* eps (- (* -1/4 eps) 1/3))

rewrite283.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

861×	`log1p-expm1-u`
222×	`expm1-log1p-u`
221×	`associate-r`
209×	`pow1`
208×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	306
1	526	289
2	6795	289

Stop Event

1×	node limit

Counts

14 → 375

Calls

Call 1

Inputs
(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
(*.f64 eps eps)
(.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)))
(-.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) eps)
(log1p.f64 (neg.f64 (*.f64 eps eps)))
(neg.f64 (*.f64 eps eps))
(*.f64 #s(literal -1/4 binary64) eps)
(.f64 eps (-.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64)))
(-.f64 (*.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))
(+.f64 (.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) eps) (*.f64 #s(literal -2 binary64) eps))
(-.f64 (log1p.f64 (neg.f64 (.f64 eps eps))) (.f64 #s(literal 2 binary64) (log1p.f64 eps)))
(.f64 eps (-.f64 (.f64 eps (-.f64 (*.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 eps (sqrt.f64 #s(literal -2/3 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -8/27 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -8/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 2 binary64)))
(-.f64 (+.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (pow.f64 eps #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 eps #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 eps #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 eps #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 eps)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))) (.f64 eps #s(literal -2 binary64)))
(+.f64 (.f64 eps #s(literal -2 binary64)) (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 #s(literal 4/9 binary64) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) eps))) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/9 binary64) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 (.f64 eps #s(literal -2 binary64)) (-.f64 (.f64 eps #s(literal -2 binary64)) (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal -8/27 binary64) (pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) eps)) (-.f64 (.f64 #s(literal 4/9 binary64) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal -8/27 binary64) (pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 3 binary64))) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -8 binary64))) (+.f64 (.f64 #s(literal 4/9 binary64) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 (.f64 eps #s(literal -2 binary64)) (-.f64 (.f64 eps #s(literal -2 binary64)) (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))))))
(/.f64 (+.f64 (.f64 #s(literal -8/27 binary64) (pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 3 binary64))) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -8 binary64))) (+.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 4/9 binary64) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 #s(literal -2/3 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps #s(literal -2 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) eps)))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal -8/27 binary64) (pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 3 binary64))) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -8 binary64)))) (neg.f64 (+.f64 (.f64 #s(literal 4/9 binary64) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 (.f64 eps #s(literal -2 binary64)) (-.f64 (.f64 eps #s(literal -2 binary64)) (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) eps))))
(/.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 4/9 binary64) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)))) (-.f64 (.f64 eps #s(literal -2 binary64)) (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 (.f64 eps (+.f64 (.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -8/27 binary64)) #s(literal -8 binary64))) (+.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -4/3 binary64)))))
(/.f64 (.f64 eps (+.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal -4 binary64))) (fma.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -8/27 binary64)) #s(literal -8 binary64)) eps) (+.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -4/3 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal -4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (fma.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps #s(literal -2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps #s(literal -2 binary64)))))
(exp.f64 (log.f64 (fma.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 eps #s(literal -2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 eps (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 eps #s(literal -2 binary64)))
(fma.f64 eps #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))
(fma.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) eps (.f64 eps #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) eps (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))) (.f64 eps #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 eps #s(literal -2 binary64)) (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))
(fma.f64 (pow.f64 (.f64 (cbrt.f64 #s(literal -2/3 binary64)) eps) #s(literal 2 binary64)) (.f64 (cbrt.f64 #s(literal -2/3 binary64)) eps) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 eps #s(literal -2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 eps #s(literal -2 binary64))) (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (sqrt.f64 (.f64 eps #s(literal -2 binary64))) (sqrt.f64 (.f64 eps #s(literal -2 binary64))) (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))
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(.f64 (sqrt.f64 (+.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (log1p.f64 eps)))) (sqrt.f64 (+.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (log1p.f64 eps)))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)) (+.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (log1p.f64 eps)))))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (log1p.f64 eps)))))
(.f64 (+.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)))) (-.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)) (+.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (log1p.f64 eps))))) (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 3 binary64)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (log1p.f64 eps))) (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)) (+.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (log1p.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (log1p.f64 eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 eps)) (+.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (log1p.f64 eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (log1p.f64 eps) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (+.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (log1p.f64 eps)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps)) (.f64 #s(literal -2 binary64) (log1p.f64 eps))) (.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (log1p.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -2 binary64) (log1p.f64 eps)) (.f64 #s(literal -2 binary64) (log1p.f64 eps)))) (-.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (log1p.f64 eps))))
(pow.f64 (+.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (log1p.f64 eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (log1p.f64 eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (log1p.f64 eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (log1p.f64 eps)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (log1p.f64 eps))) #s(literal 2 binary64)))
(log.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (log1p.f64 eps))))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (log1p.f64 eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (log1p.f64 eps)))))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (log1p.f64 eps)))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (log1p.f64 eps)))))
(exp.f64 (.f64 (log.f64 (+.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (log1p.f64 eps)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (log1p.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (log1p.f64 eps)))
(fma.f64 (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (log1p.f64 eps)))
(+.f64 (.f64 eps (.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) (*.f64 eps #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64))) eps) (*.f64 #s(literal -1/2 binary64) eps))
(-.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 eps (+.f64 (pow.f64 (.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (*.f64 eps #s(literal 1/2 binary64))))))
(/.f64 (.f64 eps (+.f64 (pow.f64 (.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64)) eps) (+.f64 (pow.f64 (.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (*.f64 eps #s(literal 1/2 binary64))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) eps) (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 eps (.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) eps) (neg.f64 eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 eps (+.f64 (pow.f64 (.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 eps (+.f64 (pow.f64 (.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) eps) (+.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) eps) (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))

simplify245.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

846×	`times-frac`
567×	`fma-neg`
379×	`associate-r`
378×	`associate-l`
298×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	826	17074
1	1866	16208
2	6259	16188

Stop Event

1×	node limit

Counts

522 → 516

Calls

Call 1

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

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

eval112.0ms (1.4%)

Compiler: Compiled 11757 to 2492 computations (78.8% saved)

prune78.0ms (1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	648	1	649
Fresh	0	0	0
Picked	1	3	4
Done	0	3	3
Total	649	7	656

Accuracy

100.0%

Counts

656 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (log1p.f64 eps))
✓	100.0%	(-.f64 (log1p.f64 (neg.f64 (.f64 eps eps))) (.f64 #s(literal 2 binary64) (log1p.f64 eps)))
✓	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶	99.9%	(+.f64 (.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps) (.f64 #s(literal -2 binary64) eps))
✓	99.9%	(.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)))
✓	98.9%	(*.f64 #s(literal -2 binary64) eps)
✓	8.7%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Compiler

Compiled 72 to 51 computations (29.2% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6208	(.f64 (.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps)
	cost-diff	0	(*.f64 #s(literal -2 binary64) eps)
	cost-diff	0	(*.f64 eps eps)
	cost-diff	0	(.f64 #s(literal -2/3 binary64) (.f64 eps eps))

Rules

12×	`fma-define`
7×	`*-commutative`
5×	`associate-l`
4×	`associate-r`
2×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	110
1	24	106
2	44	91
3	50	91

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps) (.f64 #s(literal -2 binary64) eps))
(.f64 (.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps)
(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
#s(literal -2/3 binary64)
(*.f64 eps eps)
eps
(*.f64 #s(literal -2 binary64) eps)
#s(literal -2 binary64)

Outputs
(+.f64 (.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps) (.f64 #s(literal -2 binary64) eps))
(.f64 eps (+.f64 (.f64 (*.f64 #s(literal -2/3 binary64) eps) eps) #s(literal -2 binary64)))
(.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal -2 binary64)))
(fma.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps #s(literal -2 binary64)))
(.f64 (.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps)
(.f64 eps (.f64 (*.f64 #s(literal -2/3 binary64) eps) eps))
(.f64 eps (.f64 eps (*.f64 #s(literal -2/3 binary64) eps)))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
(.f64 (.f64 #s(literal -2/3 binary64) eps) eps)
(.f64 eps (.f64 #s(literal -2/3 binary64) eps))
#s(literal -2/3 binary64)
(*.f64 eps eps)
eps
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps #s(literal -2 binary64))
#s(literal -2 binary64)

localize39.0ms (0.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 eps eps)
	accuracy	100.0%	(*.f64 #s(literal -2 binary64) eps)
✓	accuracy	99.8%	(.f64 (.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps)
	accuracy	99.7%	(.f64 #s(literal -2/3 binary64) (.f64 eps eps))

Results

29.0ms

256×

valid

Compiler

Compiled 34 to 9 computations (73.5% saved)

Precisions

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

ival-mult: 8.0ms (59.5% of total)

...c/correct-round.rkt:119:19: 4.0ms (29.7% of total)

ival-add: 1.0ms (7.4% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (.f64 (.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps)>

Outputs
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	0	(* (* -2/3 (* eps eps)) eps)
0.0ms	eps	@	inf	(* (* -2/3 (* eps eps)) eps)
0.0ms	eps	@	-inf	(* (* -2/3 (* eps eps)) eps)

rewrite227.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

413×	`unpow-prod-down`
337×	`log1p-expm1-u`
337×	`expm1-log1p-u`
324×	`add-exp-log`
313×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	89	16
2	1013	16

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps)

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (cbrt.f64 #s(literal -2/3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 4/9 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 eps (cbrt.f64 #s(literal -2/3 binary64))) #s(literal 9 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))))) (sqrt.f64 (log.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 4/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (*.f64 eps (cbrt.f64 #s(literal -2/3 binary64))) #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 eps (cbrt.f64 #s(literal -2/3 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 eps (cbrt.f64 #s(literal -2/3 binary64))) #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3/2 binary64)))) #s(literal 2 binary64)))

simplify108.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

853×	`fma-neg`
569×	`sub-neg`
564×	`div-sub`
319×	`cancel-sign-sub-inv`
306×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	729
1	118	729
2	205	729
3	402	729
4	738	729
5	1465	729
6	3847	729
7	6107	729
8	7595	729

Stop Event

1×	node limit

Counts

33 → 23

Calls

Call 1

Inputs
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (cbrt.f64 #s(literal -2/3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 4/9 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 eps (cbrt.f64 #s(literal -2/3 binary64))) #s(literal 9 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))))) (sqrt.f64 (log.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 4/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (*.f64 eps (cbrt.f64 #s(literal -2/3 binary64))) #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 eps (cbrt.f64 #s(literal -2/3 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 eps (cbrt.f64 #s(literal -2/3 binary64))) #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3/2 binary64)))) #s(literal 2 binary64)))

Outputs
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(pow.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(pow.f64 (*.f64 eps (cbrt.f64 #s(literal -2/3 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 4/9 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 4/9 binary64)))
(pow.f64 (pow.f64 (*.f64 eps (cbrt.f64 #s(literal -2/3 binary64))) #s(literal 9 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 eps (cbrt.f64 #s(literal -2/3 binary64))) #s(literal 9 binary64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))))) (sqrt.f64 (log.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 4/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 eps (cbrt.f64 #s(literal -2/3 binary64))) #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 eps (cbrt.f64 #s(literal -2/3 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 eps (cbrt.f64 #s(literal -2/3 binary64))) #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 eps (cbrt.f64 #s(literal -2/3 binary64))) #s(literal 9 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3/2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))

eval24.0ms (0.3%)

Compiler: Compiled 986 to 291 computations (70.5% saved)

prune16.0ms (0.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	71	7	78

Accuracy

100.0%

Counts

78 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (log1p.f64 eps))
✓	100.0%	(-.f64 (log1p.f64 (neg.f64 (.f64 eps eps))) (.f64 #s(literal 2 binary64) (log1p.f64 eps)))
✓	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓	99.9%	(+.f64 (.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps) (.f64 #s(literal -2 binary64) eps))
✓	99.9%	(.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)))
✓	98.9%	(*.f64 #s(literal -2 binary64) eps)
✓	8.7%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Compiler

Compiled 168 to 95 computations (43.5% saved)

regimes10.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) eps)
(.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps) (.f64 #s(literal -2 binary64) eps))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) eps) (*.f64 #s(literal -2 binary64) eps))
(-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (log1p.f64 eps))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(-.f64 (log1p.f64 (neg.f64 (.f64 eps eps))) (.f64 #s(literal 2 binary64) (log1p.f64 eps)))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (log1p.f64 eps)))

Outputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

Calls

3 calls:

4.0ms	eps
3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
3.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Results

Accuracy	Segments	Branch
100.0%	1	`eps`
100.0%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes7.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) eps)
(.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps) (.f64 #s(literal -2 binary64) eps))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) eps) (*.f64 #s(literal -2 binary64) eps))
(-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (log1p.f64 eps))

Outputs
(-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (log1p.f64 eps))

Calls

3 calls:

3.0ms	eps
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
2.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Results

Accuracy	Segments	Branch
99.9%	1	`eps`
99.9%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
99.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes7.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) eps)
(.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps) (.f64 #s(literal -2 binary64) eps))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) eps) (*.f64 #s(literal -2 binary64) eps))

Outputs
(+.f64 (.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps) (.f64 #s(literal -2 binary64) eps))

Calls

3 calls:

2.0ms	eps
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
2.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Results

Accuracy	Segments	Branch
99.9%	1	`eps`
99.9%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
99.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) eps)
(.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)))

Outputs
(.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)))

Calls

1 calls:

1.0ms

eps

Results

Accuracy	Segments	Branch
99.9%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) eps)

Outputs
(*.f64 #s(literal -2 binary64) eps)

Calls

1 calls:

1.0ms

eps

Results

Accuracy	Segments	Branch
98.9%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`unsub-neg`
17×	`neg-mul-1`
14×	`*-commutative`
14×	`+-commutative`
12×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	180
1	60	180
2	78	180
3	92	180
4	119	180
5	162	180

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (log1p.f64 eps))
(+.f64 (.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps) (.f64 #s(literal -2 binary64) eps))
(.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) eps)

Outputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/4 binary64) eps) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (log1p.f64 eps))
(-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 eps #s(literal -1/4 binary64)) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (log1p.f64 eps))
(-.f64 (.f64 eps (+.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 eps #s(literal -1/4 binary64)) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (log1p.f64 eps))
(+.f64 (.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps) (.f64 #s(literal -2 binary64) eps))
(+.f64 (.f64 eps (.f64 #s(literal -2/3 binary64) (.f64 eps eps))) (.f64 eps #s(literal -2 binary64)))
(.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps #s(literal -2 binary64))

soundness655.0ms (8.2%)

Rules

863×	`log1p-expm1-u`
863×	`expm1-log1p-u`
705×	`log1p-expm1-u`
705×	`expm1-log1p-u`
664×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	74
1	133	70
2	1866	70
0	1116	23455
1	2420	19159
0	22	217
1	332	193
2	4540	189

Stop Event

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

Compiler

Compiled 219 to 92 computations (58% saved)

preprocess49.0ms (0.6%)

Compiler: Compiled 128 to 76 computations (40.6% saved)

Iter	Nodes	Cost
0	11	79
1	22	79
2	28	79
3	41	79
4	66	79
5	106	79
6	153	79
7	234	79
8	407	79
9	657	79
10	817	79
11	821	79

Iter	Nodes	Cost
0	11	79
1	22	79
2	28	79
3	41	79
4	66	79
5	106	79
6	153	79
7	234	79
8	407	79
9	657	79
10	817	79
11	821	79

analyze4.0ms (0%)

sample2.9s (36.8%)

preprocess81.0ms (1%)

explain181.0ms (2.3%)

eval2.0ms (0%)

prune1.0ms (0%)

simplify66.0ms (0.8%)

localize87.0ms (1.1%)

series68.0ms (0.9%)

rewrite650.0ms (8.2%)

simplify611.0ms (7.7%)

eval91.0ms (1.1%)

prune73.0ms (0.9%)

simplify111.0ms (1.4%)

localize110.0ms (1.4%)

series27.0ms (0.3%)

rewrite250.0ms (3.1%)

simplify135.0ms (1.7%)

eval64.0ms (0.8%)

prune65.0ms (0.8%)

simplify284.0ms (3.6%)

localize158.0ms (2%)

series22.0ms (0.3%)

rewrite283.0ms (3.6%)

simplify245.0ms (3.1%)

eval112.0ms (1.4%)

prune78.0ms (1%)

simplify7.0ms (0.1%)

localize39.0ms (0.5%)

series1.0ms (0%)

rewrite227.0ms (2.9%)

simplify108.0ms (1.4%)

eval24.0ms (0.3%)

prune16.0ms (0.2%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify7.0ms (0.1%)

soundness655.0ms (8.2%)

preprocess49.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	79
1	22	79
2	28	79
3	41	79
4	66	79
5	106	79
6	153	79
7	234	79
8	407	79
9	657	79
10	817	79
11	821	79