Details

analyze304.0ms (5.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25.7%	74.3%	0%	0%	0%	0
0%	0%	50.6%	49.4%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	196.8%	-96.8%	0%	0%	0%	3
0%	0%	387.9%	-287.9%	0%	0%	0%	4
14%	94.2%	579.2%	-573.3%	0%	0%	0%	5
16.5%	188.4%	956%	-1044.4%	0%	0%	0%	6
26%	468.4%	1332.8%	-1701.1%	0%	0%	0%	7
26.5%	748.3%	2075.3%	-2723.6%	0%	0%	0%	8
33.1%	1394.4%	2817.4%	-4111.7%	0%	0%	0%	9
32.3%	2040%	4280.3%	-6220.4%	0%	0%	0%	10
37.2%	3407.4%	5741.6%	-9049.1%	0%	0%	0%	11
35.6%	4773.5%	8623.4%	-13296.9%	0%	0%	0%	12

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample2.8s (54.1%)

Results

1.4s	5507×	body	256	valid
746.0ms	1242×	body	1024	valid
599.0ms	1493×	body	512	valid
10.0ms	14×	body	2048	valid

Bogosity

preprocess52.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1004×	`distribute-lft-out`
996×	`distribute-lft-neg-in`
992×	`associate-r`
944×	`distribute-rgt-neg-in`
830×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	34	50
2	79	50
3	265	50
4	1192	38
5	4680	38
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 eps x) 2) (pow.f64 eps 2))

Outputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
(*.f64 eps (+.f64 x (+.f64 x eps)))
(-.f64 (pow.f64 (+.f64 eps x) 2) (pow.f64 eps 2))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 eps eps))
(*.f64 x (+.f64 x (+.f64 eps eps)))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify41.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1174×	`distribute-lft-in`
1074×	`distribute-rgt-in`
1026×	`cancel-sign-sub-inv`
942×	`fma-def`
940×	`fma-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	21	25
2	52	25
3	164	25
4	652	15
5	2899	15

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))

Outputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
(*.f64 eps (fma.f64 2 x eps))

eval1.0ms (0%)

Compiler: Compiled 26 to 15 computations (42.3% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Accurracy

100.0%

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 eps (fma.f64 2 x eps))
▶	100.0%	(*.f64 eps (fma.f64 2 x eps))

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize64.0ms (1.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 eps (fma.f64 2 x eps))

Compiler

Compiled 16 to 9 computations (43.8% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	-inf	(*.f64 eps (fma.f64 2 x eps))
0.0ms	x	@	0	(*.f64 eps (fma.f64 2 x eps))
0.0ms	eps	@	0	(*.f64 eps (fma.f64 2 x eps))
0.0ms	eps	@	inf	(*.f64 eps (fma.f64 2 x eps))
0.0ms	x	@	inf	(*.f64 eps (fma.f64 2 x eps))

rewrite74.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1472×	`pow1`
1344×	`add-exp-log`
1344×	`log1p-expm1-u`
1344×	`expm1-log1p-u`
1314×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	159	15
2	1818	15

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(*.f64 eps (fma.f64 2 x eps))

Outputs
(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(+.f64 (.f64 eps (.f64 2 x)) (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1)
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))

simplify52.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1576×	`fma-def`
1172×	`log-prod`
650×	`*-commutative`
638×	`associate-r`
626×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	525
1	104	525
2	334	525
3	2351	525
4	5603	525

Stop Event

1×	node limit

Counts

37 → 19

Calls

Call 1

Inputs
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(+.f64 (.f64 eps (.f64 2 x)) (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1)
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))

Outputs
(.f64 2 (.f64 eps x))
(.f64 eps (.f64 2 x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(.f64 eps (.f64 2 x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(.f64 eps (.f64 2 x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 eps (.f64 2 x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1)
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
(*.f64 eps (fma.f64 2 x eps))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(*.f64 eps (fma.f64 2 x eps))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(*.f64 eps (fma.f64 2 x eps))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(*.f64 eps (fma.f64 2 x eps))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(*.f64 eps (fma.f64 2 x eps))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))
(*.f64 eps (fma.f64 2 x eps))

eval4.0ms (0.1%)

Compiler: Compiled 147 to 90 computations (38.8% saved)

prune6.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	15	4	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	5	20

Accurracy

100.0%

Counts

20 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.4%	(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
▶	100.0%	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	100.0%	(*.f64 eps (fma.f64 2 x eps))
▶	65.3%	(.f64 eps (.f64 2 x))
▶	78.5%	(*.f64 eps eps)
▶	87.4%	(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
▶	100.0%	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	100.0%	(*.f64 eps (fma.f64 2 x eps))
▶	65.3%	(.f64 eps (.f64 2 x))
▶	78.5%	(*.f64 eps eps)

Compiler

Compiled 84 to 56 computations (33.3% saved)

localize234.0ms (4.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(*.f64 eps (fma.f64 2 x eps))
✓	99.9%	(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
✓	74.6%	(sqrt.f64 (*.f64 eps (fma.f64 2 x eps)))
✓	100.0%	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))

Compiler

Compiled 70 to 36 computations (48.6% saved)

series11.0ms (0.2%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
1.0ms	eps	@	0	(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
1.0ms	x	@	inf	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
1.0ms	x	@	inf	(sqrt.f64 (*.f64 eps (fma.f64 2 x eps)))

rewrite96.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1330×	`log-prod`
992×	`pow-prod-down`
798×	`fma-def`
660×	`pow-prod-up`
628×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	49
1	316	49
2	3515	49

Stop Event

1×	node limit

Counts

3 → 212

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(sqrt.f64 (*.f64 eps (fma.f64 2 x eps)))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps)))) 1)
(-.f64 (/.f64 (.f64 4 (pow.f64 (.f64 x eps) 2)) (.f64 eps (-.f64 (+.f64 x x) eps))) (/.f64 (pow.f64 eps 4) (.f64 eps (-.f64 (+.f64 x x) eps))))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (.f64 eps (fma.f64 2 x eps)) 1)
(.f64 (sqrt.f64 (.f64 eps (fma.f64 2 x eps))) (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(.f64 1 (.f64 eps (fma.f64 2 x eps)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2) (.f64 (cbrt.f64 (fma.f64 2 x eps)) eps))
(.f64 (cbrt.f64 (.f64 eps eps)) (*.f64 (cbrt.f64 eps) (fma.f64 2 x eps)))
(.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) 2) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(.f64 (sqrt.f64 (fma.f64 2 x eps)) (.f64 (sqrt.f64 (fma.f64 2 x eps)) eps))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (fma.f64 2 x eps)))
(.f64 (sqrt.f64 eps) (pow.f64 (.f64 (fma.f64 2 x eps) (*.f64 eps (fma.f64 2 x eps))) 1/2))
(.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 1/4) (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3/4))
(.f64 (fma.f64 8 (pow.f64 (.f64 x eps) 3) (pow.f64 eps 6)) (/.f64 1 (-.f64 (fma.f64 4 (pow.f64 (.f64 x eps) 2) (pow.f64 eps 4)) (.f64 (+.f64 x x) (pow.f64 eps 3)))))
(.f64 (-.f64 (.f64 4 (pow.f64 (.f64 x eps) 2)) (pow.f64 eps 4)) (/.f64 1 (.f64 eps (-.f64 (+.f64 x x) eps))))
(.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 3/4) (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1/4))
(.f64 (.f64 eps (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (cbrt.f64 (fma.f64 2 x eps)))
(.f64 (.f64 eps (sqrt.f64 (fma.f64 2 x eps))) (sqrt.f64 (fma.f64 2 x eps)))
(.f64 (.f64 (fma.f64 2 x eps) (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps))
(.f64 (.f64 (fma.f64 2 x eps) (sqrt.f64 eps)) (sqrt.f64 eps))
(.f64 (pow.f64 (.f64 (*.f64 eps (fma.f64 2 x eps)) eps) 1/2) (sqrt.f64 (fma.f64 2 x eps)))
(.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 5/6) (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1/6))
(/.f64 1 (/.f64 (-.f64 (fma.f64 4 (pow.f64 (.f64 x eps) 2) (pow.f64 eps 4)) (.f64 (+.f64 x x) (pow.f64 eps 3))) (fma.f64 8 (pow.f64 (*.f64 x eps) 3) (pow.f64 eps 6))))
(/.f64 1 (/.f64 (.f64 eps (-.f64 (+.f64 x x) eps)) (-.f64 (.f64 4 (pow.f64 (*.f64 x eps) 2)) (pow.f64 eps 4))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 x eps) 3) (pow.f64 eps 6)) (-.f64 (fma.f64 4 (pow.f64 (.f64 x eps) 2) (pow.f64 eps 4)) (*.f64 (+.f64 x x) (pow.f64 eps 3))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 x eps) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 eps 4) (fma.f64 4 (pow.f64 (.f64 x eps) 2) (neg.f64 (*.f64 (+.f64 x x) (pow.f64 eps 3))))))
(/.f64 (-.f64 (.f64 4 (pow.f64 (.f64 x eps) 2)) (pow.f64 eps 4)) (*.f64 eps (-.f64 (+.f64 x x) eps)))
(/.f64 (neg.f64 (fma.f64 8 (pow.f64 (.f64 x eps) 3) (pow.f64 eps 6))) (neg.f64 (-.f64 (fma.f64 4 (pow.f64 (.f64 x eps) 2) (pow.f64 eps 4)) (*.f64 (+.f64 x x) (pow.f64 eps 3)))))
(/.f64 (neg.f64 (-.f64 (.f64 4 (pow.f64 (.f64 x eps) 2)) (pow.f64 eps 4))) (neg.f64 (*.f64 eps (-.f64 (+.f64 x x) eps))))
(/.f64 (-.f64 (pow.f64 eps 4) (.f64 4 (pow.f64 (.f64 x eps) 2))) (-.f64 (.f64 eps eps) (.f64 2 (*.f64 x eps))))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1/6) 6)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3/2) 2/3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1/4) 4)
(pow.f64 (/.f64 (-.f64 (fma.f64 4 (pow.f64 (.f64 x eps) 2) (pow.f64 eps 4)) (.f64 (+.f64 x x) (pow.f64 eps 3))) (fma.f64 8 (pow.f64 (*.f64 x eps) 3) (pow.f64 eps 6))) -1)
(pow.f64 (/.f64 (.f64 eps (-.f64 (+.f64 x x) eps)) (-.f64 (.f64 4 (pow.f64 (*.f64 x eps) 2)) (pow.f64 eps 4))) -1)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 2 x eps)))))
(log.f64 (.f64 (pow.f64 (exp.f64 eps) (+.f64 x x)) (+.f64 1 (expm1.f64 (.f64 eps eps)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 2 (*.f64 x eps)))) (pow.f64 (exp.f64 eps) eps)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 2 (.f64 x eps)))) (+.f64 1 (expm1.f64 (.f64 eps eps)))))
(log.f64 (.f64 (pow.f64 (exp.f64 eps) eps) (+.f64 1 (expm1.f64 (.f64 2 (*.f64 x eps))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 eps eps))) (pow.f64 (exp.f64 eps) (+.f64 x x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 eps eps))) (+.f64 1 (expm1.f64 (.f64 2 (.f64 x eps))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 2 x eps))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps)))) 1) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 eps (fma.f64 2 x eps)))) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 eps (fma.f64 2 x eps)))) 1/3))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))
(fma.f64 2 (.f64 x eps) (.f64 eps eps))
(fma.f64 x (.f64 2 eps) (.f64 eps eps))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(fma.f64 eps eps (.f64 2 (.f64 x eps)))
(fma.f64 (.f64 2 (.f64 x eps)) 1 (*.f64 eps eps))
(fma.f64 (.f64 eps eps) 1 (.f64 2 (*.f64 x eps)))
(fma.f64 1 (.f64 2 (.f64 x eps)) (*.f64 eps eps))
(fma.f64 1 (.f64 eps eps) (.f64 2 (*.f64 x eps)))
(fma.f64 (cbrt.f64 (.f64 eps eps)) (.f64 (cbrt.f64 eps) eps) (.f64 2 (.f64 x eps)))
(fma.f64 (cbrt.f64 (.f64 eps eps)) (.f64 (cbrt.f64 eps) (+.f64 x x)) (*.f64 eps eps))
(fma.f64 (.f64 (cbrt.f64 eps) eps) (cbrt.f64 (.f64 eps eps)) (.f64 2 (.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (.f64 (cbrt.f64 (+.f64 x x)) eps) (.f64 eps eps))
(fma.f64 (cbrt.f64 (.f64 2 (.f64 x eps))) (pow.f64 (cbrt.f64 (.f64 2 (.f64 x eps))) 2) (*.f64 eps eps))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (.f64 x eps))) 2) (cbrt.f64 (.f64 2 (.f64 x eps))) (*.f64 eps eps))
(fma.f64 (sqrt.f64 eps) (pow.f64 eps 3/2) (.f64 2 (.f64 x eps)))
(fma.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (+.f64 x x)) (.f64 eps eps))
(fma.f64 (sqrt.f64 (+.f64 x x)) (.f64 (sqrt.f64 (+.f64 x x)) eps) (.f64 eps eps))
(fma.f64 (sqrt.f64 (.f64 2 (.f64 x eps))) (sqrt.f64 (.f64 2 (.f64 x eps))) (*.f64 eps eps))
(fma.f64 (.f64 x eps) 2 (.f64 eps eps))
(fma.f64 (pow.f64 eps 3/2) (sqrt.f64 eps) (.f64 2 (.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 eps) 5) (cbrt.f64 eps) (.f64 2 (.f64 x eps)))
(fma.f64 (.f64 (+.f64 x x) (cbrt.f64 (.f64 eps eps))) (cbrt.f64 eps) (*.f64 eps eps))
(fma.f64 (.f64 (+.f64 x x) (sqrt.f64 eps)) (sqrt.f64 eps) (.f64 eps eps))
(fma.f64 (.f64 eps 2) x (.f64 eps eps))
(fma.f64 (.f64 eps (pow.f64 (cbrt.f64 (+.f64 x x)) 2)) (cbrt.f64 (+.f64 x x)) (.f64 eps eps))
(fma.f64 (.f64 eps (sqrt.f64 (+.f64 x x))) (sqrt.f64 (+.f64 x x)) (.f64 eps eps))
(+.f64 0 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 eps (fma.f64 2 x eps))))) (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 eps (fma.f64 2 x eps))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 eps (fma.f64 2 x eps)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 eps (fma.f64 2 x eps)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 eps (fma.f64 2 x eps)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))))) 1)
(.f64 (sqrt.f64 (.f64 eps (fma.f64 2 x eps))) 1)
(.f64 1 (sqrt.f64 (.f64 eps (fma.f64 2 x eps))))
(.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 1/6) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1/6))
(*.f64 (sqrt.f64 (fma.f64 2 x eps)) (sqrt.f64 eps))
(*.f64 (sqrt.f64 eps) (sqrt.f64 (fma.f64 2 x eps)))
(.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 1/4) (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1/4))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))))
(/.f64 (sqrt.f64 (fma.f64 8 (pow.f64 (.f64 x eps) 3) (pow.f64 eps 6))) (hypot.f64 (.f64 2 (.f64 x eps)) (sqrt.f64 (-.f64 (pow.f64 eps 4) (.f64 (+.f64 x x) (pow.f64 eps 3))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 4 (pow.f64 (.f64 x eps) 2)) (pow.f64 eps 4))) (sqrt.f64 (*.f64 eps (-.f64 (+.f64 x x) eps))))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 1)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1/6) 3)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3/2)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2) 1/4)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps)))))
(hypot.f64 eps (sqrt.f64 (.f64 2 (.f64 x eps))))
(hypot.f64 (sqrt.f64 (.f64 2 (.f64 x eps))) eps)
(exp.f64 (log.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps)))))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 2 x eps))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 eps (fma.f64 2 x eps)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps)))) 1) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 1/6)) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 eps (fma.f64 2 x eps)))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (*.f64 eps (fma.f64 2 x eps)))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps)))))
(+.f64 (.f64 2 (.f64 x eps)) (*.f64 eps eps))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 x eps)))
(+.f64 0 (*.f64 eps (fma.f64 2 x eps)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps))) (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps)))) 1)
(-.f64 (/.f64 (.f64 4 (pow.f64 (.f64 x eps) 2)) (.f64 eps (-.f64 (+.f64 x x) eps))) (/.f64 (pow.f64 eps 4) (.f64 eps (-.f64 (+.f64 x x) eps))))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (.f64 eps (fma.f64 2 x eps)) 1)
(.f64 (sqrt.f64 (.f64 eps (fma.f64 2 x eps))) (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(.f64 1 (.f64 eps (fma.f64 2 x eps)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2) (.f64 (cbrt.f64 (fma.f64 2 x eps)) eps))
(.f64 (cbrt.f64 (.f64 eps eps)) (*.f64 (cbrt.f64 eps) (fma.f64 2 x eps)))
(.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) 2) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(.f64 (sqrt.f64 (fma.f64 2 x eps)) (.f64 (sqrt.f64 (fma.f64 2 x eps)) eps))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (fma.f64 2 x eps)))
(.f64 (sqrt.f64 eps) (pow.f64 (.f64 (fma.f64 2 x eps) (*.f64 eps (fma.f64 2 x eps))) 1/2))
(.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 1/4) (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3/4))
(.f64 (fma.f64 8 (pow.f64 (.f64 x eps) 3) (pow.f64 eps 6)) (/.f64 1 (-.f64 (fma.f64 4 (pow.f64 (.f64 x eps) 2) (pow.f64 eps 4)) (.f64 (+.f64 x x) (pow.f64 eps 3)))))
(.f64 (-.f64 (.f64 4 (pow.f64 (.f64 x eps) 2)) (pow.f64 eps 4)) (/.f64 1 (.f64 eps (-.f64 (+.f64 x x) eps))))
(.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 3/4) (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1/4))
(.f64 (.f64 eps (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (cbrt.f64 (fma.f64 2 x eps)))
(.f64 (.f64 eps (sqrt.f64 (fma.f64 2 x eps))) (sqrt.f64 (fma.f64 2 x eps)))
(.f64 (.f64 (fma.f64 2 x eps) (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps))
(.f64 (.f64 (fma.f64 2 x eps) (sqrt.f64 eps)) (sqrt.f64 eps))
(.f64 (pow.f64 (.f64 (*.f64 eps (fma.f64 2 x eps)) eps) 1/2) (sqrt.f64 (fma.f64 2 x eps)))
(.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 5/6) (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1/6))
(/.f64 1 (/.f64 (-.f64 (fma.f64 4 (pow.f64 (.f64 x eps) 2) (pow.f64 eps 4)) (.f64 (+.f64 x x) (pow.f64 eps 3))) (fma.f64 8 (pow.f64 (*.f64 x eps) 3) (pow.f64 eps 6))))
(/.f64 1 (/.f64 (.f64 eps (-.f64 (+.f64 x x) eps)) (-.f64 (.f64 4 (pow.f64 (*.f64 x eps) 2)) (pow.f64 eps 4))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 x eps) 3) (pow.f64 eps 6)) (-.f64 (fma.f64 4 (pow.f64 (.f64 x eps) 2) (pow.f64 eps 4)) (*.f64 (+.f64 x x) (pow.f64 eps 3))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 x eps) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 eps 4) (fma.f64 4 (pow.f64 (.f64 x eps) 2) (neg.f64 (*.f64 (+.f64 x x) (pow.f64 eps 3))))))
(/.f64 (-.f64 (.f64 4 (pow.f64 (.f64 x eps) 2)) (pow.f64 eps 4)) (*.f64 eps (-.f64 (+.f64 x x) eps)))
(/.f64 (neg.f64 (fma.f64 8 (pow.f64 (.f64 x eps) 3) (pow.f64 eps 6))) (neg.f64 (-.f64 (fma.f64 4 (pow.f64 (.f64 x eps) 2) (pow.f64 eps 4)) (*.f64 (+.f64 x x) (pow.f64 eps 3)))))
(/.f64 (neg.f64 (-.f64 (.f64 4 (pow.f64 (.f64 x eps) 2)) (pow.f64 eps 4))) (neg.f64 (*.f64 eps (-.f64 (+.f64 x x) eps))))
(/.f64 (-.f64 (pow.f64 eps 4) (.f64 4 (pow.f64 (.f64 x eps) 2))) (-.f64 (.f64 eps eps) (.f64 2 (*.f64 x eps))))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 2 x eps)))))
(log.f64 (.f64 (pow.f64 (exp.f64 eps) (+.f64 x x)) (+.f64 1 (expm1.f64 (.f64 eps eps)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 2 (*.f64 x eps)))) (pow.f64 (exp.f64 eps) eps)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 2 (.f64 x eps)))) (+.f64 1 (expm1.f64 (.f64 eps eps)))))
(log.f64 (.f64 (pow.f64 (exp.f64 eps) eps) (+.f64 1 (expm1.f64 (.f64 2 (*.f64 x eps))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 eps eps))) (pow.f64 (exp.f64 eps) (+.f64 x x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 eps eps))) (+.f64 1 (expm1.f64 (.f64 2 (.f64 x eps))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 2 x eps))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps)))) 1) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 eps (fma.f64 2 x eps)))) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 eps (fma.f64 2 x eps)))) 1/3))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))
(fma.f64 2 (.f64 x eps) (.f64 eps eps))
(fma.f64 x (.f64 2 eps) (.f64 eps eps))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(fma.f64 eps eps (.f64 2 (.f64 x eps)))
(fma.f64 (.f64 2 (.f64 x eps)) 1 (*.f64 eps eps))
(fma.f64 (.f64 eps eps) 1 (.f64 2 (*.f64 x eps)))
(fma.f64 1 (.f64 2 (.f64 x eps)) (*.f64 eps eps))
(fma.f64 1 (.f64 eps eps) (.f64 2 (*.f64 x eps)))
(fma.f64 (cbrt.f64 (.f64 eps eps)) (.f64 (cbrt.f64 eps) eps) (.f64 2 (.f64 x eps)))
(fma.f64 (cbrt.f64 (.f64 eps eps)) (.f64 (cbrt.f64 eps) (+.f64 x x)) (*.f64 eps eps))
(fma.f64 (.f64 (cbrt.f64 eps) eps) (cbrt.f64 (.f64 eps eps)) (.f64 2 (.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (.f64 (cbrt.f64 (+.f64 x x)) eps) (.f64 eps eps))
(fma.f64 (cbrt.f64 (.f64 2 (.f64 x eps))) (pow.f64 (cbrt.f64 (.f64 2 (.f64 x eps))) 2) (*.f64 eps eps))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (.f64 x eps))) 2) (cbrt.f64 (.f64 2 (.f64 x eps))) (*.f64 eps eps))
(fma.f64 (sqrt.f64 eps) (pow.f64 eps 3/2) (.f64 2 (.f64 x eps)))
(fma.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (+.f64 x x)) (.f64 eps eps))
(fma.f64 (sqrt.f64 (+.f64 x x)) (.f64 (sqrt.f64 (+.f64 x x)) eps) (.f64 eps eps))
(fma.f64 (sqrt.f64 (.f64 2 (.f64 x eps))) (sqrt.f64 (.f64 2 (.f64 x eps))) (*.f64 eps eps))
(fma.f64 (.f64 x eps) 2 (.f64 eps eps))
(fma.f64 (pow.f64 eps 3/2) (sqrt.f64 eps) (.f64 2 (.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 eps) 5) (cbrt.f64 eps) (.f64 2 (.f64 x eps)))
(fma.f64 (.f64 (+.f64 x x) (cbrt.f64 (.f64 eps eps))) (cbrt.f64 eps) (*.f64 eps eps))
(fma.f64 (.f64 (+.f64 x x) (sqrt.f64 eps)) (sqrt.f64 eps) (.f64 eps eps))
(fma.f64 (.f64 eps 2) x (.f64 eps eps))
(fma.f64 (.f64 eps (pow.f64 (cbrt.f64 (+.f64 x x)) 2)) (cbrt.f64 (+.f64 x x)) (.f64 eps eps))
(fma.f64 (.f64 eps (sqrt.f64 (+.f64 x x))) (sqrt.f64 (+.f64 x x)) (.f64 eps eps))

simplify104.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1114×	`distribute-lft-in`
1052×	`distribute-rgt-in`
790×	`associate-+r+`
674×	`associate-+l+`
370×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	372	7522
1	937	6500
2	2945	6278

Stop Event

1×	node limit

Counts

260 → 204

Calls

Call 1

Inputs
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
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eps
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(.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2) (.f64 (cbrt.f64 (fma.f64 2 x eps)) eps))
(.f64 (cbrt.f64 (.f64 eps eps)) (*.f64 (cbrt.f64 eps) (fma.f64 2 x eps)))
(.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) 2) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(.f64 (sqrt.f64 (fma.f64 2 x eps)) (.f64 (sqrt.f64 (fma.f64 2 x eps)) eps))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (fma.f64 2 x eps)))
(.f64 (sqrt.f64 eps) (pow.f64 (.f64 (fma.f64 2 x eps) (*.f64 eps (fma.f64 2 x eps))) 1/2))
(.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 1/4) (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3/4))
(.f64 (fma.f64 8 (pow.f64 (.f64 x eps) 3) (pow.f64 eps 6)) (/.f64 1 (-.f64 (fma.f64 4 (pow.f64 (.f64 x eps) 2) (pow.f64 eps 4)) (.f64 (+.f64 x x) (pow.f64 eps 3)))))
(.f64 (-.f64 (.f64 4 (pow.f64 (.f64 x eps) 2)) (pow.f64 eps 4)) (/.f64 1 (.f64 eps (-.f64 (+.f64 x x) eps))))
(.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 3/4) (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1/4))
(.f64 (.f64 eps (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (cbrt.f64 (fma.f64 2 x eps)))
(.f64 (.f64 eps (sqrt.f64 (fma.f64 2 x eps))) (sqrt.f64 (fma.f64 2 x eps)))
(.f64 (.f64 (fma.f64 2 x eps) (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps))
(.f64 (.f64 (fma.f64 2 x eps) (sqrt.f64 eps)) (sqrt.f64 eps))
(.f64 (pow.f64 (.f64 (*.f64 eps (fma.f64 2 x eps)) eps) 1/2) (sqrt.f64 (fma.f64 2 x eps)))
(.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 5/6) (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1/6))
(/.f64 1 (/.f64 (-.f64 (fma.f64 4 (pow.f64 (.f64 x eps) 2) (pow.f64 eps 4)) (.f64 (+.f64 x x) (pow.f64 eps 3))) (fma.f64 8 (pow.f64 (*.f64 x eps) 3) (pow.f64 eps 6))))
(/.f64 1 (/.f64 (.f64 eps (-.f64 (+.f64 x x) eps)) (-.f64 (.f64 4 (pow.f64 (*.f64 x eps) 2)) (pow.f64 eps 4))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 x eps) 3) (pow.f64 eps 6)) (-.f64 (fma.f64 4 (pow.f64 (.f64 x eps) 2) (pow.f64 eps 4)) (*.f64 (+.f64 x x) (pow.f64 eps 3))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 x eps) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 eps 4) (fma.f64 4 (pow.f64 (.f64 x eps) 2) (neg.f64 (*.f64 (+.f64 x x) (pow.f64 eps 3))))))
(/.f64 (-.f64 (.f64 4 (pow.f64 (.f64 x eps) 2)) (pow.f64 eps 4)) (*.f64 eps (-.f64 (+.f64 x x) eps)))
(/.f64 (neg.f64 (fma.f64 8 (pow.f64 (.f64 x eps) 3) (pow.f64 eps 6))) (neg.f64 (-.f64 (fma.f64 4 (pow.f64 (.f64 x eps) 2) (pow.f64 eps 4)) (*.f64 (+.f64 x x) (pow.f64 eps 3)))))
(/.f64 (neg.f64 (-.f64 (.f64 4 (pow.f64 (.f64 x eps) 2)) (pow.f64 eps 4))) (neg.f64 (*.f64 eps (-.f64 (+.f64 x x) eps))))
(/.f64 (-.f64 (pow.f64 eps 4) (.f64 4 (pow.f64 (.f64 x eps) 2))) (-.f64 (.f64 eps eps) (.f64 2 (*.f64 x eps))))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 2 x eps)))))
(log.f64 (.f64 (pow.f64 (exp.f64 eps) (+.f64 x x)) (+.f64 1 (expm1.f64 (.f64 eps eps)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 2 (*.f64 x eps)))) (pow.f64 (exp.f64 eps) eps)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 2 (.f64 x eps)))) (+.f64 1 (expm1.f64 (.f64 eps eps)))))
(log.f64 (.f64 (pow.f64 (exp.f64 eps) eps) (+.f64 1 (expm1.f64 (.f64 2 (*.f64 x eps))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 eps eps))) (pow.f64 (exp.f64 eps) (+.f64 x x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 eps eps))) (+.f64 1 (expm1.f64 (.f64 2 (.f64 x eps))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 2 x eps))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps)))) 1) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 eps (fma.f64 2 x eps)))) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 eps (fma.f64 2 x eps)))) 1/3))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))
(fma.f64 2 (.f64 x eps) (.f64 eps eps))
(fma.f64 x (.f64 2 eps) (.f64 eps eps))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(fma.f64 eps eps (.f64 2 (.f64 x eps)))
(fma.f64 (.f64 2 (.f64 x eps)) 1 (*.f64 eps eps))
(fma.f64 (.f64 eps eps) 1 (.f64 2 (*.f64 x eps)))
(fma.f64 1 (.f64 2 (.f64 x eps)) (*.f64 eps eps))
(fma.f64 1 (.f64 eps eps) (.f64 2 (*.f64 x eps)))
(fma.f64 (cbrt.f64 (.f64 eps eps)) (.f64 (cbrt.f64 eps) eps) (.f64 2 (.f64 x eps)))
(fma.f64 (cbrt.f64 (.f64 eps eps)) (.f64 (cbrt.f64 eps) (+.f64 x x)) (*.f64 eps eps))
(fma.f64 (.f64 (cbrt.f64 eps) eps) (cbrt.f64 (.f64 eps eps)) (.f64 2 (.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (.f64 (cbrt.f64 (+.f64 x x)) eps) (.f64 eps eps))
(fma.f64 (cbrt.f64 (.f64 2 (.f64 x eps))) (pow.f64 (cbrt.f64 (.f64 2 (.f64 x eps))) 2) (*.f64 eps eps))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (.f64 x eps))) 2) (cbrt.f64 (.f64 2 (.f64 x eps))) (*.f64 eps eps))
(fma.f64 (sqrt.f64 eps) (pow.f64 eps 3/2) (.f64 2 (.f64 x eps)))
(fma.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (+.f64 x x)) (.f64 eps eps))
(fma.f64 (sqrt.f64 (+.f64 x x)) (.f64 (sqrt.f64 (+.f64 x x)) eps) (.f64 eps eps))
(fma.f64 (sqrt.f64 (.f64 2 (.f64 x eps))) (sqrt.f64 (.f64 2 (.f64 x eps))) (*.f64 eps eps))
(fma.f64 (.f64 x eps) 2 (.f64 eps eps))
(fma.f64 (pow.f64 eps 3/2) (sqrt.f64 eps) (.f64 2 (.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 eps) 5) (cbrt.f64 eps) (.f64 2 (.f64 x eps)))
(fma.f64 (.f64 (+.f64 x x) (cbrt.f64 (.f64 eps eps))) (cbrt.f64 eps) (*.f64 eps eps))
(fma.f64 (.f64 (+.f64 x x) (sqrt.f64 eps)) (sqrt.f64 eps) (.f64 eps eps))
(fma.f64 (.f64 eps 2) x (.f64 eps eps))
(fma.f64 (.f64 eps (pow.f64 (cbrt.f64 (+.f64 x x)) 2)) (cbrt.f64 (+.f64 x x)) (.f64 eps eps))
(fma.f64 (.f64 eps (sqrt.f64 (+.f64 x x))) (sqrt.f64 (+.f64 x x)) (.f64 eps eps))

Outputs
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 eps eps (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 eps eps (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 eps eps (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(*.f64 eps (+.f64 x x))
(*.f64 x (+.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 eps eps (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 eps eps (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 eps eps (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(*.f64 eps (+.f64 x x))
(*.f64 x (+.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 eps eps (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 eps eps (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 eps eps (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(*.f64 eps (+.f64 x x))
(*.f64 x (+.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 eps eps (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 eps eps (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 eps eps (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 eps eps (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 eps eps (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 eps eps (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 eps eps (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 eps eps (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 eps eps (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
eps
(+.f64 eps x)
(+.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps)) x))
(+.f64 eps (fma.f64 -1/2 (/.f64 (*.f64 x x) eps) x))
(+.f64 eps (fma.f64 -1/2 (/.f64 x (/.f64 eps x)) x))
(+.f64 eps (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) eps)) x)))
(+.f64 eps (fma.f64 1/2 (/.f64 (pow.f64 x 3) (.f64 eps eps)) (fma.f64 -1/2 (/.f64 (.f64 x x) eps) x)))
(+.f64 eps (fma.f64 1/2 (/.f64 (/.f64 (pow.f64 x 3) eps) eps) (fma.f64 -1/2 (/.f64 x (/.f64 eps x)) x)))
(+.f64 eps (fma.f64 1/2 (/.f64 (pow.f64 x 3) (*.f64 eps eps)) (fma.f64 -1/2 (/.f64 x (/.f64 eps x)) x)))
(.f64 -1 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)))
eps
(+.f64 (.f64 -1 (.f64 eps (pow.f64 (sqrt.f64 -1) 2))) x)
(+.f64 eps x)
(+.f64 (.f64 -1 (.f64 eps (pow.f64 (sqrt.f64 -1) 2))) (+.f64 x (.f64 1/2 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) eps)))))
(+.f64 eps (fma.f64 -1/2 (/.f64 (*.f64 x x) eps) x))
(+.f64 eps (fma.f64 -1/2 (/.f64 x (/.f64 eps x)) x))
(+.f64 (.f64 -1 (.f64 eps (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)))) (+.f64 x (.f64 1/2 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) eps))))))
(+.f64 eps (fma.f64 1/2 (/.f64 (pow.f64 x 3) (.f64 eps eps)) (fma.f64 -1/2 (/.f64 (.f64 x x) eps) x)))
(+.f64 eps (fma.f64 1/2 (/.f64 (/.f64 (pow.f64 x 3) eps) eps) (fma.f64 -1/2 (/.f64 x (/.f64 eps x)) x)))
(+.f64 eps (fma.f64 1/2 (/.f64 (pow.f64 x 3) (*.f64 eps eps)) (fma.f64 -1/2 (/.f64 x (/.f64 eps x)) x)))
eps
(+.f64 eps x)
(+.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps)) x))
(+.f64 eps (fma.f64 -1/2 (/.f64 (*.f64 x x) eps) x))
(+.f64 eps (fma.f64 -1/2 (/.f64 x (/.f64 eps x)) x))
(+.f64 eps (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) eps)) x)))
(+.f64 eps (fma.f64 1/2 (/.f64 (pow.f64 x 3) (.f64 eps eps)) (fma.f64 -1/2 (/.f64 (.f64 x x) eps) x)))
(+.f64 eps (fma.f64 1/2 (/.f64 (/.f64 (pow.f64 x 3) eps) eps) (fma.f64 -1/2 (/.f64 x (/.f64 eps x)) x)))
(+.f64 eps (fma.f64 1/2 (/.f64 (pow.f64 x 3) (*.f64 eps eps)) (fma.f64 -1/2 (/.f64 x (/.f64 eps x)) x)))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 eps eps (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 2 (*.f64 eps x)) (pow.f64 x 2))))
(fma.f64 eps eps (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 2 (.f64 eps x)) (+.f64 (/.f64 (pow.f64 x 3) eps) (+.f64 (pow.f64 x 2) (.f64 -1 (/.f64 (pow.f64 x 3) eps)))))))
(+.f64 (fma.f64 -1 (.f64 x x) (fma.f64 2 (.f64 eps x) (+.f64 (+.f64 (/.f64 (pow.f64 x 3) eps) (.f64 x x)) (neg.f64 (/.f64 (pow.f64 x 3) eps))))) (.f64 eps eps))
(fma.f64 eps eps (-.f64 (+.f64 (fma.f64 x x (/.f64 (neg.f64 (pow.f64 x 3)) eps)) (fma.f64 2 (.f64 eps x) (/.f64 (pow.f64 x 3) eps))) (.f64 x x)))
(+.f64 (.f64 eps (fma.f64 2 x eps)) (.f64 0 (/.f64 (pow.f64 x 3) eps)))
(*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2))
(*.f64 eps eps)
(+.f64 (.f64 -2 (.f64 eps (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)))
(fma.f64 eps eps (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 -2 (.f64 eps (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)))))
(fma.f64 eps eps (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 -2 (.f64 eps (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 2)) (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 2)))) eps)) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2))))))
(fma.f64 eps eps (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 eps eps (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/2 eps) 2) (/.f64 1 (pow.f64 eps 2)))) (.f64 5/4 (/.f64 1 (pow.f64 eps 2)))) (pow.f64 x 4)) (+.f64 (pow.f64 eps 2) (.f64 2 (*.f64 eps x))))
(fma.f64 (fma.f64 -1 (+.f64 (pow.f64 (/.f64 -1/2 eps) 2) (/.f64 1 (.f64 eps eps))) (/.f64 5/4 (.f64 eps eps))) (pow.f64 x 4) (fma.f64 eps eps (.f64 2 (.f64 eps x))))
(fma.f64 (-.f64 (/.f64 5/4 (.f64 eps eps)) (+.f64 (pow.f64 (/.f64 -1/2 eps) 2) (/.f64 1 (.f64 eps eps)))) (pow.f64 x 4) (*.f64 eps (fma.f64 2 x eps)))
(fma.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 -1/2 eps) 2)) (.f64 (/.f64 1 (.f64 eps eps)) 1/4)) (pow.f64 x 4) (*.f64 eps (fma.f64 2 x eps)))
(+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/2 eps) 2) (/.f64 1 (pow.f64 eps 2)))) (.f64 5/4 (/.f64 1 (pow.f64 eps 2)))) (pow.f64 x 4)) (+.f64 (pow.f64 eps 2) (.f64 2 (*.f64 eps x))))
(fma.f64 (fma.f64 -1 (+.f64 (pow.f64 (/.f64 -1/2 eps) 2) (/.f64 1 (.f64 eps eps))) (/.f64 5/4 (.f64 eps eps))) (pow.f64 x 4) (fma.f64 eps eps (.f64 2 (.f64 eps x))))
(fma.f64 (-.f64 (/.f64 5/4 (.f64 eps eps)) (+.f64 (pow.f64 (/.f64 -1/2 eps) 2) (/.f64 1 (.f64 eps eps)))) (pow.f64 x 4) (*.f64 eps (fma.f64 2 x eps)))
(fma.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 -1/2 eps) 2)) (.f64 (/.f64 1 (.f64 eps eps)) 1/4)) (pow.f64 x 4) (*.f64 eps (fma.f64 2 x eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps)))) 1)
(fma.f64 eps eps (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
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eval65.0ms (1.2%)

Compiler: Compiled 3335 to 1981 computations (40.6% saved)

prune38.0ms (0.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	222	1	223
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	223	5	228

Accurracy

100.0%

Counts

228 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
✓	100.0%	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	100.0%	(*.f64 eps (fma.f64 2 x eps))
✓	65.3%	(.f64 eps (.f64 2 x))
✓	78.5%	(*.f64 eps eps)
▶	100.0%	(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
✓	100.0%	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	100.0%	(*.f64 eps (fma.f64 2 x eps))
✓	65.3%	(.f64 eps (.f64 2 x))
✓	78.5%	(*.f64 eps eps)

Compiler

Compiled 82 to 50 computations (39% saved)

localize37.0ms (0.7%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 x x) eps (*.f64 eps eps))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
0.0ms	eps	@	0	(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
0.0ms	x	@	-inf	(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
0.0ms	eps	@	-inf	(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
0.0ms	eps	@	inf	(fma.f64 (+.f64 x x) eps (*.f64 eps eps))

rewrite65.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1556×	`pow1`
1436×	`add-exp-log`
1434×	`log1p-expm1-u`
1434×	`expm1-log1p-u`
1402×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	166	19
2	2198	19

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))

Outputs
(+.f64 (.f64 eps eps) (.f64 (+.f64 x x) eps))
(+.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps))
(+.f64 (.f64 (.f64 (+.f64 x x) eps) 1) (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 eps (+.f64 (+.f64 x x) eps))) 1)
(*.f64 eps (+.f64 (+.f64 x x) eps))
(.f64 (.f64 eps (+.f64 (+.f64 x x) eps)) 1)
(.f64 1 (.f64 eps (+.f64 (+.f64 x x) eps)))
(.f64 (cbrt.f64 (.f64 eps (+.f64 (+.f64 x x) eps))) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (+.f64 x x) eps))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 eps (+.f64 (+.f64 x x) eps))) 2) (cbrt.f64 (*.f64 eps (+.f64 (+.f64 x x) eps))))
(.f64 (sqrt.f64 (.f64 eps (+.f64 (+.f64 x x) eps))) (sqrt.f64 (*.f64 eps (+.f64 (+.f64 x x) eps))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (.f64 (.f64 (+.f64 x x) eps) (.f64 (+.f64 x x) eps)) (-.f64 (pow.f64 eps 4) (.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps)))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 x x) eps) (.f64 (+.f64 x x) eps)) (pow.f64 eps 4)) (-.f64 (.f64 (+.f64 x x) eps) (*.f64 eps eps)))
(pow.f64 (*.f64 eps (+.f64 (+.f64 x x) eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (+.f64 x x) eps))) 3)
(pow.f64 (pow.f64 (*.f64 eps (+.f64 (+.f64 x x) eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 (+.f64 x x) eps))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 (+.f64 x x) eps)) 2))
(log.f64 (exp.f64 (*.f64 eps (+.f64 (+.f64 x x) eps))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 (+.f64 x x) eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 (+.f64 x x) eps))))
(exp.f64 (log.f64 (*.f64 eps (+.f64 (+.f64 x x) eps))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 (+.f64 x x) eps))))

simplify58.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

786×	`associate-+r+`
748×	`associate-+l+`
726×	`associate-/r*`
622×	`fma-neg`
590×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	1146
1	178	738
2	724	730
3	3428	730

Stop Event

1×	node limit

Counts

46 → 33

Calls

Call 1

Inputs
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 (+.f64 x x) eps))
(+.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps))
(+.f64 (.f64 (.f64 (+.f64 x x) eps) 1) (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 eps (+.f64 (+.f64 x x) eps))) 1)
(*.f64 eps (+.f64 (+.f64 x x) eps))
(.f64 (.f64 eps (+.f64 (+.f64 x x) eps)) 1)
(.f64 1 (.f64 eps (+.f64 (+.f64 x x) eps)))
(.f64 (cbrt.f64 (.f64 eps (+.f64 (+.f64 x x) eps))) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (+.f64 x x) eps))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 eps (+.f64 (+.f64 x x) eps))) 2) (cbrt.f64 (*.f64 eps (+.f64 (+.f64 x x) eps))))
(.f64 (sqrt.f64 (.f64 eps (+.f64 (+.f64 x x) eps))) (sqrt.f64 (*.f64 eps (+.f64 (+.f64 x x) eps))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (.f64 (.f64 (+.f64 x x) eps) (.f64 (+.f64 x x) eps)) (-.f64 (pow.f64 eps 4) (.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps)))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 x x) eps) (.f64 (+.f64 x x) eps)) (pow.f64 eps 4)) (-.f64 (.f64 (+.f64 x x) eps) (*.f64 eps eps)))
(pow.f64 (*.f64 eps (+.f64 (+.f64 x x) eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (+.f64 x x) eps))) 3)
(pow.f64 (pow.f64 (*.f64 eps (+.f64 (+.f64 x x) eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 (+.f64 x x) eps))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 (+.f64 x x) eps)) 2))
(log.f64 (exp.f64 (*.f64 eps (+.f64 (+.f64 x x) eps))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 (+.f64 x x) eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 (+.f64 x x) eps))))
(exp.f64 (log.f64 (*.f64 eps (+.f64 (+.f64 x x) eps))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 (+.f64 x x) eps))))

Outputs
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(*.f64 eps (+.f64 x x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(*.f64 eps (+.f64 x x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(*.f64 eps (+.f64 x x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 eps eps) (.f64 (+.f64 x x) eps))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 (.f64 (+.f64 x x) eps) 1) (*.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(-.f64 (+.f64 1 (*.f64 eps (+.f64 (+.f64 x x) eps))) 1)
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 eps (+.f64 (+.f64 x x) eps))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 eps (+.f64 (+.f64 x x) eps)) 1)
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 1 (.f64 eps (+.f64 (+.f64 x x) eps)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (cbrt.f64 (.f64 eps (+.f64 (+.f64 x x) eps))) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (+.f64 x x) eps))) 2))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (pow.f64 (cbrt.f64 (.f64 eps (+.f64 (+.f64 x x) eps))) 2) (cbrt.f64 (*.f64 eps (+.f64 (+.f64 x x) eps))))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (sqrt.f64 (.f64 eps (+.f64 (+.f64 x x) eps))) (sqrt.f64 (*.f64 eps (+.f64 (+.f64 x x) eps))))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (.f64 (.f64 (+.f64 x x) eps) (.f64 (+.f64 x x) eps)) (-.f64 (pow.f64 eps 4) (.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (+.f64 x x)) 3) (pow.f64 (.f64 eps eps) 3)) (fma.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x)) (-.f64 (pow.f64 eps 4) (.f64 (.f64 eps eps) (*.f64 eps (+.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (+.f64 x x)) 3) (pow.f64 eps 6)) (-.f64 (fma.f64 (.f64 4 (.f64 x x)) (.f64 eps eps) (pow.f64 eps 4)) (*.f64 (+.f64 x x) (pow.f64 eps 3))))
(/.f64 (+.f64 (.f64 8 (pow.f64 (.f64 eps x) 3)) (pow.f64 eps 6)) (-.f64 (pow.f64 eps 4) (.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 eps (.f64 x -2))))))
(/.f64 (+.f64 (.f64 8 (pow.f64 (.f64 eps x) 3)) (pow.f64 eps 6)) (+.f64 (pow.f64 eps 4) (.f64 eps (.f64 (.f64 2 (.f64 eps x)) (+.f64 x (-.f64 x eps))))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 x x) eps) (.f64 (+.f64 x x) eps)) (pow.f64 eps 4)) (-.f64 (.f64 (+.f64 x x) eps) (*.f64 eps eps)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (*.f64 eps (+.f64 (+.f64 x x) eps)) 1)
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (+.f64 x x) eps))) 3)
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 (+.f64 x x) eps)) 3) 1/3)
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 (+.f64 x x) eps))) 2)
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 (+.f64 x x) eps)) 2))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(log.f64 (exp.f64 (*.f64 eps (+.f64 (+.f64 x x) eps))))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 (+.f64 x x) eps)) 3))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 (+.f64 x x) eps))))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(exp.f64 (log.f64 (*.f64 eps (+.f64 (+.f64 x x) eps))))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 (+.f64 x x) eps))))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))

eval6.0ms (0.1%)

Compiler: Compiled 450 to 147 computations (67.3% saved)

prune12.0ms (0.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	33	5	38

Accurracy

100.0%

Counts

38 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
✓	100.0%	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
▶	100.0%	(*.f64 eps (+.f64 (+.f64 x x) eps))
✓	65.3%	(.f64 eps (.f64 2 x))
✓	78.5%	(*.f64 eps eps)
✓	100.0%	(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
✓	100.0%	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
▶	100.0%	(*.f64 eps (+.f64 (+.f64 x x) eps))
✓	65.3%	(.f64 eps (.f64 2 x))
✓	78.5%	(*.f64 eps eps)

Compiler

Compiled 84 to 50 computations (40.5% saved)

localize62.0ms (1.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 eps (+.f64 (+.f64 x x) eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	-inf	(*.f64 eps (+.f64 (+.f64 x x) eps))
0.0ms	eps	@	0	(*.f64 eps (+.f64 (+.f64 x x) eps))
0.0ms	x	@	-inf	(*.f64 eps (+.f64 (+.f64 x x) eps))
0.0ms	x	@	inf	(*.f64 eps (+.f64 (+.f64 x x) eps))
0.0ms	eps	@	inf	(*.f64 eps (+.f64 (+.f64 x x) eps))

rewrite65.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1826×	`pow1`
1706×	`add-exp-log`
1704×	`log1p-expm1-u`
1704×	`expm1-log1p-u`
1672×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	162	15
2	2567	15

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(*.f64 eps (+.f64 (+.f64 x x) eps))

Outputs
(+.f64 (.f64 eps eps) (.f64 eps (+.f64 x x)))
(+.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps))
(+.f64 (.f64 x eps) (.f64 (+.f64 eps x) eps))
(+.f64 (.f64 eps x) (.f64 eps (+.f64 eps x)))
(+.f64 (.f64 (.f64 eps (+.f64 x x)) 1) (.f64 (.f64 eps eps) 1))
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 eps (+.f64 x x)) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x))) (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 eps (+.f64 x x)) (*.f64 eps eps)))))
(/.f64 (-.f64 (.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x))) (.f64 (.f64 eps eps) (.f64 eps eps))) (-.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps)))
(/.f64 (.f64 eps (+.f64 (+.f64 x x) (pow.f64 eps 3))) (+.f64 (+.f64 x x) (.f64 eps (-.f64 eps (+.f64 x x)))))
(/.f64 (.f64 eps (-.f64 (+.f64 x x) (.f64 eps eps))) (+.f64 x (-.f64 x eps)))
(/.f64 (.f64 (+.f64 (+.f64 x x) (pow.f64 eps 3)) eps) (+.f64 (+.f64 x x) (.f64 eps (-.f64 eps (+.f64 x x)))))
(/.f64 (.f64 (-.f64 (+.f64 x x) (.f64 eps eps)) eps) (+.f64 x (-.f64 x eps)))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 2 x eps)) eps))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 2 x eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 2 x eps) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))

simplify62.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

906×	`fma-def`
884×	`times-frac`
852×	`fma-neg`
736×	`div-sub`
620×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	1354
1	259	922
2	1015	906
3	5331	898

Stop Event

1×	node limit

Counts

50 → 46

Calls

Call 1

Inputs
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 eps (+.f64 x x)))
(+.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps))
(+.f64 (.f64 x eps) (.f64 (+.f64 eps x) eps))
(+.f64 (.f64 eps x) (.f64 eps (+.f64 eps x)))
(+.f64 (.f64 (.f64 eps (+.f64 x x)) 1) (.f64 (.f64 eps eps) 1))
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 eps (+.f64 x x)) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x))) (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 eps (+.f64 x x)) (*.f64 eps eps)))))
(/.f64 (-.f64 (.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x))) (.f64 (.f64 eps eps) (.f64 eps eps))) (-.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps)))
(/.f64 (.f64 eps (+.f64 (+.f64 x x) (pow.f64 eps 3))) (+.f64 (+.f64 x x) (.f64 eps (-.f64 eps (+.f64 x x)))))
(/.f64 (.f64 eps (-.f64 (+.f64 x x) (.f64 eps eps))) (+.f64 x (-.f64 x eps)))
(/.f64 (.f64 (+.f64 (+.f64 x x) (pow.f64 eps 3)) eps) (+.f64 (+.f64 x x) (.f64 eps (-.f64 eps (+.f64 x x)))))
(/.f64 (.f64 (-.f64 (+.f64 x x) (.f64 eps eps)) eps) (+.f64 x (-.f64 x eps)))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 2 x eps)) eps))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 2 x eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 2 x eps) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))

Outputs
(.f64 2 (.f64 eps x))
(*.f64 eps (+.f64 x x))
(*.f64 x (+.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(*.f64 eps (+.f64 x x))
(*.f64 x (+.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(*.f64 eps (+.f64 x x))
(*.f64 x (+.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 eps eps) (.f64 eps (+.f64 x x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 x eps) (.f64 (+.f64 eps x) eps))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 eps x) (.f64 eps (+.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 (.f64 eps (+.f64 x x)) 1) (.f64 (.f64 eps eps) 1))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1)
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 (+.f64 (pow.f64 (.f64 eps (+.f64 x x)) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x))) (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 eps (+.f64 x x)) (*.f64 eps eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (+.f64 x x)) 3) (pow.f64 (.f64 eps eps) 3)) (fma.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x)) (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 eps (+.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (+.f64 x x)) 3) (pow.f64 eps 6)) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (-.f64 eps (+.f64 x x))) (.f64 4 (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (+.f64 x x)) 3) (pow.f64 eps 6)) (.f64 (.f64 eps eps) (fma.f64 eps (fma.f64 -2 x eps) (.f64 4 (*.f64 x x)))))
(/.f64 (/.f64 (+.f64 (.f64 8 (pow.f64 (.f64 eps x) 3)) (pow.f64 eps 6)) (.f64 eps eps)) (fma.f64 eps (fma.f64 -2 x eps) (.f64 4 (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x))) (.f64 (.f64 eps eps) (.f64 eps eps))) (-.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 (.f64 eps (+.f64 (+.f64 x x) (pow.f64 eps 3))) (+.f64 (+.f64 x x) (.f64 eps (-.f64 eps (+.f64 x x)))))
(/.f64 eps (/.f64 (+.f64 x (+.f64 x (*.f64 eps (-.f64 eps (+.f64 x x))))) (+.f64 (+.f64 x x) (pow.f64 eps 3))))
(.f64 (/.f64 eps (fma.f64 2 x (.f64 eps (-.f64 eps (+.f64 x x))))) (fma.f64 2 x (pow.f64 eps 3)))
(*.f64 (fma.f64 2 x (pow.f64 eps 3)) (/.f64 eps (+.f64 x (fma.f64 eps (fma.f64 -2 x eps) x))))
(/.f64 (fma.f64 2 (*.f64 eps x) (pow.f64 eps 4)) (fma.f64 eps (fma.f64 -2 x eps) (+.f64 x x)))
(/.f64 (.f64 eps (-.f64 (+.f64 x x) (.f64 eps eps))) (+.f64 x (-.f64 x eps)))
(/.f64 eps (/.f64 (-.f64 (+.f64 x x) eps) (-.f64 (+.f64 x x) (*.f64 eps eps))))
(.f64 (/.f64 eps (-.f64 (+.f64 x x) eps)) (+.f64 x (-.f64 x (.f64 eps eps))))
(/.f64 (fma.f64 2 (*.f64 eps x) (neg.f64 (pow.f64 eps 3))) (+.f64 x (-.f64 x eps)))
(/.f64 (-.f64 x (fma.f64 eps eps (neg.f64 x))) (fma.f64 2 (/.f64 x eps) -1))
(/.f64 (.f64 (+.f64 (+.f64 x x) (pow.f64 eps 3)) eps) (+.f64 (+.f64 x x) (.f64 eps (-.f64 eps (+.f64 x x)))))
(/.f64 eps (/.f64 (+.f64 x (+.f64 x (*.f64 eps (-.f64 eps (+.f64 x x))))) (+.f64 (+.f64 x x) (pow.f64 eps 3))))
(.f64 (/.f64 eps (fma.f64 2 x (.f64 eps (-.f64 eps (+.f64 x x))))) (fma.f64 2 x (pow.f64 eps 3)))
(*.f64 (fma.f64 2 x (pow.f64 eps 3)) (/.f64 eps (+.f64 x (fma.f64 eps (fma.f64 -2 x eps) x))))
(/.f64 (fma.f64 2 (*.f64 eps x) (pow.f64 eps 4)) (fma.f64 eps (fma.f64 -2 x eps) (+.f64 x x)))
(/.f64 (.f64 (-.f64 (+.f64 x x) (.f64 eps eps)) eps) (+.f64 x (-.f64 x eps)))
(/.f64 eps (/.f64 (-.f64 (+.f64 x x) eps) (-.f64 (+.f64 x x) (*.f64 eps eps))))
(.f64 (/.f64 eps (-.f64 (+.f64 x x) eps)) (+.f64 x (-.f64 x (.f64 eps eps))))
(/.f64 (fma.f64 2 (*.f64 eps x) (neg.f64 (pow.f64 eps 3))) (+.f64 x (-.f64 x eps)))
(/.f64 (-.f64 x (fma.f64 eps eps (neg.f64 x))) (fma.f64 2 (/.f64 x eps) -1))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(log.f64 (pow.f64 (exp.f64 (fma.f64 2 x eps)) eps))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 2 x eps) 3)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 2 x eps) 3) (pow.f64 eps 3)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))

eval9.0ms (0.2%)

Compiler: Compiled 630 to 251 computations (60.2% saved)

prune21.0ms (0.4%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	46	5	51

Accurracy

100.0%

Counts

51 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
✓	100.0%	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	100.0%	(*.f64 eps (+.f64 (+.f64 x x) eps))
✓	65.3%	(.f64 eps (.f64 2 x))
✓	78.5%	(*.f64 eps eps)

Compiler

Compiled 100 to 54 computations (46% saved)

regimes19.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 eps eps)
(.f64 eps (.f64 2 x))
(*.f64 eps (+.f64 (+.f64 x x) eps))
(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)

Outputs
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))

Calls

3 calls:

10.0ms	eps
5.0ms	x
3.0ms	(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`eps`
100.0%	1	`(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))`

Compiler

Compiled 75 to 41 computations (45.3% saved)

regimes13.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 eps eps)
(.f64 eps (.f64 2 x))
(*.f64 eps (+.f64 (+.f64 x x) eps))
(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))

Outputs
(*.f64 eps (+.f64 (+.f64 x x) eps))

Calls

2 calls:

7.0ms	x
4.0ms	eps

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`eps`

Compiler

Compiled 38 to 20 computations (47.4% saved)

regimes22.0ms (0.4%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 eps eps)
(.f64 eps (.f64 2 x))

Outputs
(.f64 eps (.f64 2 x))
(*.f64 eps eps)
(.f64 eps (.f64 2 x))

Calls

2 calls:

13.0ms	eps
8.0ms	x

Results

Accuracy	Segments	Branch
96.0%	3	`x`
88.4%	3	`eps`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes86.0ms (1.6%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 eps eps)

Outputs
(*.f64 eps eps)

Calls

2 calls:

83.0ms	eps
3.0ms	x

Results

Accuracy	Segments	Branch
78.5%	1	`eps`
78.5%	1	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch164.0ms (3.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
145.0ms	1.7583443420016886e-122	9.762491633508908e-120
18.0ms	-4.886245003987176e-73	-7.19832701532737e-75

Results

137.0ms	55×	body	1024	valid
13.0ms	126×	body	256	valid
9.0ms	59×	body	512	valid

Compiler

Compiled 226 to 162 computations (28.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	92
1	31	92

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(*.f64 eps (+.f64 (+.f64 x x) eps))
(if (<=.f64 x -3666664757402075/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (.f64 eps (.f64 2 x)) (if (<=.f64 x 4506400090632763/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (.f64 eps eps) (.f64 eps (*.f64 2 x))))
(*.f64 eps eps)

Outputs
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(*.f64 eps (+.f64 (+.f64 x x) eps))
(if (<=.f64 x -3666664757402075/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (.f64 eps (.f64 2 x)) (if (<=.f64 x 4506400090632763/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (.f64 eps eps) (.f64 eps (*.f64 2 x))))
(if (or (<=.f64 x -3666664757402075/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (not (<=.f64 x 4506400090632763/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656))) (.f64 eps (.f64 x 2)) (*.f64 eps eps))
(*.f64 eps eps)

Compiler

Compiled 43 to 26 computations (39.5% saved)

soundness485.0ms (9.2%)

Rules

1576×	`fma-def`
1576×	`fma-def`
1556×	`pow1`
1472×	`pow1`
1436×	`add-exp-log`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	21	25
2	52	25
3	164	25
4	652	15
5	2899	15
0	8	15
1	159	15
2	1818	15
0	15	49
1	316	49
2	3515	49
0	43	525
1	104	525
2	334	525
3	2351	525
4	5603	525
0	43	525
1	104	525
2	334	525
3	2351	525
4	5603	525
0	8	21
1	166	19
2	2198	19

Stop Event

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

Compiler

Compiled 280 to 113 computations (59.6% saved)

end70.0ms (1.3%)

Compiler: Compiled 96 to 50 computations (47.9% saved)

Details

analyze304.0ms (5.8%)

sample2.8s (54.1%)

preprocess52.0ms (1%)

simplify41.0ms (0.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize64.0ms (1.2%)

series3.0ms (0.1%)

rewrite74.0ms (1.4%)

simplify52.0ms (1%)

eval4.0ms (0.1%)

prune6.0ms (0.1%)

localize234.0ms (4.5%)

series11.0ms (0.2%)

rewrite96.0ms (1.8%)

simplify104.0ms (2%)

eval65.0ms (1.2%)

prune38.0ms (0.7%)

localize37.0ms (0.7%)

series1.0ms (0%)

rewrite65.0ms (1.2%)

simplify58.0ms (1.1%)

eval6.0ms (0.1%)

prune12.0ms (0.2%)

localize62.0ms (1.2%)

series1.0ms (0%)

rewrite65.0ms (1.2%)

simplify62.0ms (1.2%)

eval9.0ms (0.2%)

prune21.0ms (0.4%)

regimes19.0ms (0.4%)

regimes13.0ms (0.2%)

regimes22.0ms (0.4%)

regimes86.0ms (1.6%)

bsearch164.0ms (3.1%)

simplify5.0ms (0.1%)

soundness485.0ms (9.2%)

end70.0ms (1.3%)

Profiling