Details

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25.7%	74.3%	0%	0%	0%	0
100%	25.7%	0%	74.3%	0%	0%	0%	1

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample2.0s (54.9%)

Results

1.2s	6137×	body	256	valid
465.0ms	999×	body	1024	valid
345.0ms	1101×	body	512	valid
8.0ms	19×	body	2048	valid

Bogosity

preprocess62.0ms (1.7%)

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)

simplify42.0ms (1.1%)

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))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize6.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 15 to 8 computations (46.7% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite92.0ms (2.5%)

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))))

simplify53.0ms (1.4%)

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))

eval3.0ms (0.1%)

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

prune4.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	16	3	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	4	20

Accurracy

100.0%

Counts

20 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	100.0%	(*.f64 eps (fma.f64 2 x eps))
▶	63.7%	(.f64 eps (.f64 2 x))
▶	72.9%	(*.f64 eps eps)

Compiler

Compiled 31 to 20 computations (35.5% saved)

localize2.0ms (0.1%)

Compiler: Compiled 6 to 3 computations (50% saved)

localize14.0ms (0.4%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

localize9.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 25 to 13 computations (48% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite84.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

968×	`log-prod`
796×	`prod-exp`
746×	`fma-def`
700×	`exp-prod`
682×	`pow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	195	15
2	2593	15

Stop Event

1×	node limit

Counts

1 → 78

Calls

Call 1

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

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

simplify83.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1070×	`fma-neg`
930×	`times-frac`
810×	`fma-def`
666×	`log-prod`
494×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	2796
1	532	2274
2	1429	2158
3	6440	2158

Stop Event

1×	node limit

Counts

102 → 93

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

eval62.0ms (1.7%)

Compiler: Compiled 1309 to 691 computations (47.2% saved)

prune13.0ms (0.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	92	5	97

Accurracy

100.0%

Counts

97 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
✓	100.0%	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	100.0%	(*.f64 eps (fma.f64 2 x eps))
✓	63.7%	(.f64 eps (.f64 2 x))
✓	72.9%	(*.f64 eps eps)

Compiler

Compiled 41 to 25 computations (39% saved)

localize6.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 20 to 5 computations (75% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1586×	`pow1`
1462×	`add-exp-log`
1460×	`log1p-expm1-u`
1460×	`expm1-log1p-u`
1428×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	166	19
2	2231	19

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

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

simplify92.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

756×	`associate-/r*`
726×	`fma-neg`
630×	`fma-def`
580×	`cancel-sign-sub-inv`
532×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	1178
1	182	788
2	794	778
3	4017	772

Stop Event

1×	node limit

Counts

46 → 38

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

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

eval6.0ms (0.2%)

Compiler: Compiled 514 to 161 computations (68.7% saved)

prune6.0ms (0.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	38	5	43

Accurracy

100.0%

Counts

43 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
✓	100.0%	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
▶	100.0%	(*.f64 eps (+.f64 eps (+.f64 x x)))
✓	63.7%	(.f64 eps (.f64 2 x))
✓	72.9%	(*.f64 eps eps)

Compiler

Compiled 42 to 25 computations (40.5% saved)

localize39.0ms (1.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 19 to 5 computations (73.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite84.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1812×	`pow1`
1694×	`add-exp-log`
1692×	`log1p-expm1-u`
1692×	`expm1-log1p-u`
1660×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	162	15
2	2575	15

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs
(+.f64 (.f64 eps eps) (.f64 eps (+.f64 x x)))
(+.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps))
(+.f64 (.f64 eps (+.f64 eps x)) (.f64 eps x))
(+.f64 (.f64 (+.f64 eps x) eps) (.f64 x eps))
(+.f64 (.f64 (.f64 eps eps) 1) (.f64 (.f64 eps (+.f64 x x)) 1))
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 eps eps) 3) (pow.f64 (.f64 eps (+.f64 x x)) 3)) (+.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 (.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x))) (.f64 (.f64 eps eps) (*.f64 eps (+.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x)))) (-.f64 (.f64 eps eps) (.f64 eps (+.f64 x x))))
(/.f64 (.f64 eps (+.f64 (+.f64 x x) (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 (+.f64 x x) (.f64 eps (+.f64 x x)))))
(/.f64 (.f64 eps (-.f64 (.f64 eps eps) (+.f64 x x))) (+.f64 eps (*.f64 -2 x)))
(/.f64 (.f64 (+.f64 (+.f64 x x) (pow.f64 eps 3)) eps) (fma.f64 eps eps (-.f64 (+.f64 x x) (.f64 eps (+.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 eps eps) (+.f64 x x)) eps) (+.f64 eps (*.f64 -2 x)))
(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 eps (*.f64 eps (+.f64 x x)))

simplify58.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1068×	`fma-neg`
944×	`div-sub`
888×	`fma-def`
840×	`times-frac`
618×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	1325
1	254	891
2	1050	887
3	5638	879

Stop Event

1×	node limit

Counts

49 → 43

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 eps (+.f64 eps x)) (.f64 eps x))
(+.f64 (.f64 (+.f64 eps x) eps) (.f64 x eps))
(+.f64 (.f64 (.f64 eps eps) 1) (.f64 (.f64 eps (+.f64 x x)) 1))
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 eps eps) 3) (pow.f64 (.f64 eps (+.f64 x x)) 3)) (+.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 (.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x))) (.f64 (.f64 eps eps) (*.f64 eps (+.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x)))) (-.f64 (.f64 eps eps) (.f64 eps (+.f64 x x))))
(/.f64 (.f64 eps (+.f64 (+.f64 x x) (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 (+.f64 x x) (.f64 eps (+.f64 x x)))))
(/.f64 (.f64 eps (-.f64 (.f64 eps eps) (+.f64 x x))) (+.f64 eps (*.f64 -2 x)))
(/.f64 (.f64 (+.f64 (+.f64 x x) (pow.f64 eps 3)) eps) (fma.f64 eps eps (-.f64 (+.f64 x x) (.f64 eps (+.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 eps eps) (+.f64 x x)) eps) (+.f64 eps (*.f64 -2 x)))
(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 eps (*.f64 eps (+.f64 x x)))

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 eps (+.f64 eps x)) (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 (+.f64 eps x) eps) (.f64 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 (.f64 eps eps) 1) (.f64 (.f64 eps (+.f64 x x)) 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 eps) 3) (pow.f64 (.f64 eps (+.f64 x x)) 3)) (+.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 (.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x))) (.f64 (.f64 eps eps) (*.f64 eps (+.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps eps) 3) (pow.f64 (.f64 eps (+.f64 x x)) 3)) (+.f64 (.f64 eps (pow.f64 eps 3)) (.f64 (.f64 eps (+.f64 x x)) (-.f64 (.f64 eps (+.f64 x x)) (*.f64 eps eps)))))
(/.f64 (+.f64 (pow.f64 eps 6) (pow.f64 (.f64 eps (+.f64 x x)) 3)) (fma.f64 (.f64 eps (+.f64 x x)) (*.f64 eps (-.f64 (+.f64 x x) eps)) (pow.f64 eps 4)))
(/.f64 (+.f64 (pow.f64 eps 6) (.f64 8 (pow.f64 (.f64 eps x) 3))) (fma.f64 eps (.f64 (.f64 x (+.f64 eps eps)) (+.f64 x (-.f64 x eps))) (pow.f64 eps 4)))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x)))) (-.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 (+.f64 x x) (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 (+.f64 x x) (.f64 eps (+.f64 x x)))))
(/.f64 (.f64 eps (+.f64 x (+.f64 x (pow.f64 eps 3)))) (fma.f64 eps eps (+.f64 x (-.f64 x (.f64 eps (+.f64 x x))))))
(.f64 (/.f64 eps (fma.f64 eps eps (fma.f64 2 x (.f64 eps (*.f64 x -2))))) (fma.f64 2 x (pow.f64 eps 3)))
(.f64 eps (/.f64 (fma.f64 2 x (pow.f64 eps 3)) (+.f64 (+.f64 x x) (.f64 eps (fma.f64 x -2 eps)))))
(.f64 eps (/.f64 (fma.f64 2 x (pow.f64 eps 3)) (fma.f64 2 x (.f64 eps (fma.f64 x -2 eps)))))
(/.f64 (.f64 eps (-.f64 (.f64 eps eps) (+.f64 x x))) (+.f64 eps (*.f64 -2 x)))
(/.f64 eps (/.f64 (+.f64 eps (.f64 x -2)) (-.f64 (.f64 eps eps) (+.f64 x x))))
(.f64 (/.f64 eps (fma.f64 x -2 eps)) (fma.f64 eps eps (.f64 x -2)))
(.f64 (fma.f64 eps eps (.f64 x -2)) (/.f64 eps (fma.f64 x -2 eps)))
(/.f64 (.f64 (+.f64 (+.f64 x x) (pow.f64 eps 3)) eps) (fma.f64 eps eps (-.f64 (+.f64 x x) (.f64 eps (+.f64 x x)))))
(/.f64 (.f64 eps (+.f64 x (+.f64 x (pow.f64 eps 3)))) (fma.f64 eps eps (+.f64 x (-.f64 x (.f64 eps (+.f64 x x))))))
(.f64 (/.f64 eps (fma.f64 eps eps (fma.f64 2 x (.f64 eps (*.f64 x -2))))) (fma.f64 2 x (pow.f64 eps 3)))
(.f64 eps (/.f64 (fma.f64 2 x (pow.f64 eps 3)) (+.f64 (+.f64 x x) (.f64 eps (fma.f64 x -2 eps)))))
(.f64 eps (/.f64 (fma.f64 2 x (pow.f64 eps 3)) (fma.f64 2 x (.f64 eps (fma.f64 x -2 eps)))))
(/.f64 (.f64 (-.f64 (.f64 eps eps) (+.f64 x x)) eps) (+.f64 eps (*.f64 -2 x)))
(/.f64 eps (/.f64 (+.f64 eps (.f64 x -2)) (-.f64 (.f64 eps eps) (+.f64 x x))))
(.f64 (/.f64 eps (fma.f64 x -2 eps)) (fma.f64 eps eps (.f64 x -2)))
(.f64 (fma.f64 eps eps (.f64 x -2)) (/.f64 eps (fma.f64 x -2 eps)))
(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 eps (*.f64 eps (+.f64 x x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))

eval8.0ms (0.2%)

Compiler: Compiled 579 to 251 computations (56.6% saved)

prune15.0ms (0.4%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	43	5	48

Accurracy

100.0%

Counts

48 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
✓	100.0%	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	100.0%	(*.f64 eps (+.f64 eps (+.f64 x x)))
✓	63.7%	(.f64 eps (.f64 2 x))
✓	72.9%	(*.f64 eps eps)

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes51.0ms (1.4%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	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 66 to 36 computations (45.5% saved)

regimes25.0ms (0.7%)

Accuracy

Total -33.6b remaining (-631.2%)

Threshold costs -33.6b (-631.2%)

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
11.0ms	x

Results

Accuracy	Segments	Branch
91.7%	3	`x`
86.9%	5	`eps`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch37.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	8.771185963833755e-82	7.459362577548398e-81
20.0ms	-1.4221300683090392e-98	-1.4900989696625029e-99

Results

13.0ms	68×	body	512	valid
11.0ms	94×	body	256	valid
8.0ms	30×	body	1024	valid

Compiler

Compiled 184 to 132 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	20	71
1	29	71

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -2924367647388653/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (*.f64 eps (*.f64 2 x)) (if (<=.f64 x 1922388332328819/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (*.f64 eps eps) (*.f64 eps (*.f64 2 x))))

(*.f64 eps eps)

Outputs
(*.f64 eps (+.f64 eps (+.f64 x x)))
(if (<=.f64 x -2924367647388653/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (.f64 eps (.f64 2 x)) (if (<=.f64 x 1922388332328819/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 eps eps) (.f64 eps (*.f64 2 x))))
(if (or (<=.f64 x -2924367647388653/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (not (<=.f64 x 1922388332328819/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576))) (.f64 eps (.f64 x 2)) (*.f64 eps eps))
(*.f64 eps eps)

Compiler

Compiled 33 to 21 computations (36.4% saved)

soundness621.0ms (16.8%)

Rules

1586×	`pow1`
1576×	`fma-def`
1576×	`fma-def`
1472×	`pow1`
1462×	`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	199	2796
1	532	2274
2	1429	2158
3	6440	2158
0	8	21
1	166	19
2	2231	19
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

Stop Event

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

Compiler

Compiled 253 to 108 computations (57.3% saved)

end25.0ms (0.7%)

Compiler: Compiled 29 to 16 computations (44.8% saved)

Details

analyze1.0ms (0%)

sample2.0s (54.9%)

preprocess62.0ms (1.7%)

simplify42.0ms (1.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite92.0ms (2.5%)

simplify53.0ms (1.4%)

eval3.0ms (0.1%)

prune4.0ms (0.1%)

localize2.0ms (0.1%)

localize14.0ms (0.4%)

localize9.0ms (0.2%)

series2.0ms (0.1%)

rewrite84.0ms (2.3%)

simplify83.0ms (2.2%)

eval62.0ms (1.7%)

prune13.0ms (0.3%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite54.0ms (1.4%)

simplify92.0ms (2.5%)

eval6.0ms (0.2%)

prune6.0ms (0.2%)

localize39.0ms (1.1%)

series1.0ms (0%)

rewrite84.0ms (2.3%)

simplify58.0ms (1.6%)

eval8.0ms (0.2%)

prune15.0ms (0.4%)

regimes51.0ms (1.4%)

regimes25.0ms (0.7%)

bsearch37.0ms (1%)

simplify5.0ms (0.1%)

soundness621.0ms (16.8%)

end25.0ms (0.7%)

Profiling