Metrics for ENA, Section 1.4, Exercise 4b, n=2

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)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-pow, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-and, time spent: 0.0ms, 0.0% of total-time

Operation ival-<=, time spent: 0.0ms, 0.0% of total-time

sample3.4s (75.7%)

Results

2.0s	6266×	body	256	valid
792.0ms	974×	body	1024	valid
642.0ms	997×	body	512	valid
16.0ms	19×	body	2048	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

Operation ival-pow, time spent: 642.0ms, 47.0% of total-time

Operation ival-<=, time spent: 294.0ms, 21.0% of total-time

Operation ival-add, time spent: 167.0ms, 12.0% of total-time

Operation ival-sub, time spent: 112.0ms, 8.0% of total-time

Operation const, time spent: 87.0ms, 6.0% of total-time

Operation ival-and, time spent: 69.0ms, 5.0% of total-time

Bogosity

preprocess181.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1436×	`fma-def`
1040×	`distribute-lft-neg-in`
918×	`distribute-rgt-neg-in`
856×	`unswap-sqr`
720×	`associate-r`

Problems

171×	No Errors
85×	`(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	278
1	73	246
2	212	238
3	896	196
4	4899	196

Stop Event

1×	node limit

Calls

Call 1

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

Compiler

Compiled 37 to 22 computations (40.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

Operation ival-pow, time spent: 32.0ms, 79.0% of total-time

Operation const, time spent: 3.0ms, 7.0% of total-time

Operation ival-sub, time spent: 3.0ms, 7.0% of total-time

Operation ival-add, time spent: 3.0ms, 7.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize52.0ms (1.1%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

Operation ival-mult, time spent: 8.0ms, 58.0% of total-time

Operation ival-add, time spent: 3.0ms, 22.0% of total-time

Operation const, time spent: 2.0ms, 15.0% of total-time

series18.0ms (0.4%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	x	@	inf	(.f64 eps (+.f64 eps (.f64 x 2)))
2.0ms	x	@	-inf	(.f64 eps (+.f64 eps (.f64 x 2)))
1.0ms	eps	@	0	(.f64 eps (+.f64 eps (.f64 x 2)))
1.0ms	x	@	0	(.f64 eps (+.f64 eps (.f64 x 2)))
1.0ms	eps	@	inf	(.f64 eps (+.f64 eps (.f64 x 2)))

rewrite183.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

1786×	`prod-diff`
614×	`log-prod`
606×	`log1p-expm1-u`
606×	`expm1-log1p-u`
590×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	120	24
2	1663	24

Stop Event

1×	node limit

Counts

1 → 57

Calls

Call 1

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

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

simplify72.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1036×	`fma-def`
814×	`cancel-sign-sub-inv`
754×	`associate-+r+`
576×	`distribute-rgt-neg-in`
556×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	2712
1	395	2269
2	1093	2208
3	4239	2208

Stop Event

1×	node limit

Counts

81 → 78

Calls

Call 1

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

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

eval23.0ms (0.5%)

Compiler: Compiled 1070 to 711 computations (33.6% saved)

prune13.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	4	79

Accuracy

100.0%

Counts

79 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 eps eps (.f64 eps (.f64 x 2)))
✓	100.0%	(.f64 eps (+.f64 eps (.f64 x 2)))
▶	67.0%	(.f64 eps (.f64 2 x))
▶	67.0%	(.f64 2 (.f64 eps x))
▶	100.0%	(fma.f64 eps eps (.f64 eps (.f64 x 2)))
✓	100.0%	(.f64 eps (+.f64 eps (.f64 x 2)))
▶	67.0%	(.f64 eps (.f64 2 x))
▶	67.0%	(.f64 2 (.f64 eps x))

Compiler

Compiled 66 to 44 computations (33.3% saved)

localize100.0ms (2.2%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 44 to 23 computations (47.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

Operation ival-mult, time spent: 28.0ms, 82.0% of total-time

Operation const, time spent: 3.0ms, 9.0% of total-time

Operation ival-fma, time spent: 3.0ms, 9.0% of total-time

series6.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	(.f64 2 (.f64 eps x))
1.0ms	eps	@	-inf	(.f64 2 (.f64 eps x))
1.0ms	x	@	inf	(.f64 2 (.f64 eps x))
0.0ms	eps	@	inf	(.f64 2 (.f64 eps x))
0.0ms	x	@	0	(.f64 2 (.f64 eps x))

rewrite85.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1030×	`unpow-prod-down`
730×	`log-prod`
557×	`log1p-expm1-u`
557×	`expm1-log1p-u`
556×	`prod-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	151	47
2	1548	47

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

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

simplify60.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1750×	`fma-def`
1076×	`distribute-lft-in`
1024×	`distribute-rgt-in`
894×	`unswap-sqr`
396×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	2790
1	446	2335
2	1583	2299

Stop Event

1×	node limit

Counts

91 → 90

Calls

Call 1

Inputs
(.f64 2 (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(.f64 2 (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(.f64 2 (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (.f64 eps x) (.f64 eps x))
(+.f64 0 (.f64 2 (.f64 eps x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) eps) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) eps) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) eps) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) eps) x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 eps x)))) 1)
(pow.f64 (.f64 2 (.f64 eps x)) 1)
(pow.f64 (cbrt.f64 (.f64 2 (.f64 eps x))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 eps x) 2) 4) 1/2)
(pow.f64 (pow.f64 (.f64 2 (.f64 eps x)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 2 (.f64 eps x))) 2)
(sqrt.f64 (.f64 (pow.f64 (.f64 eps x) 2) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) eps) x))
(cbrt.f64 (pow.f64 (.f64 2 (.f64 eps x)) 3))
(expm1.f64 (log1p.f64 (.f64 2 (.f64 eps x))))
(exp.f64 (log.f64 (.f64 2 (.f64 eps x))))
(exp.f64 (.f64 (log.f64 (.f64 2 (*.f64 eps x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 2 (.f64 eps x))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (*.f64 eps x)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 2 (*.f64 eps x)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (*.f64 eps x)))) 2))
(exp.f64 (+.f64 (log.f64 eps) (.f64 (log.f64 (.f64 2 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 eps) 1) (log.f64 (.f64 2 x))))
(exp.f64 (+.f64 (.f64 (log.f64 eps) 1) (.f64 (log.f64 (*.f64 2 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (.f64 2 eps))))
(exp.f64 (+.f64 (log.f64 (.f64 2 x)) (.f64 (log.f64 eps) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1) (log.f64 eps)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1) (*.f64 (log.f64 eps) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 2 eps)) (.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (.f64 2 (.f64 eps x))))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 eps 2))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 0 (.f64 eps (+.f64 eps (.f64 2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (+.f64 eps (.f64 2 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (+.f64 eps (.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (+.f64 eps (.f64 2 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (+.f64 eps (.f64 2 x))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 eps (+.f64 eps (.f64 2 x))))) 1)
(.f64 eps (+.f64 eps (.f64 2 x)))
(.f64 (.f64 eps (+.f64 eps (*.f64 2 x))) 1)
(.f64 (.f64 eps (+.f64 eps (*.f64 2 x))) (log.f64 (exp.f64 1)))
(.f64 1 (.f64 eps (+.f64 eps (*.f64 2 x))))
(.f64 (cbrt.f64 (.f64 eps (+.f64 eps (.f64 2 x)))) (pow.f64 (cbrt.f64 (.f64 eps (+.f64 eps (*.f64 2 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 eps (+.f64 eps (.f64 2 x)))) 2) (cbrt.f64 (.f64 eps (+.f64 eps (*.f64 2 x)))))
(.f64 (sqrt.f64 (.f64 eps (+.f64 eps (.f64 2 x)))) (sqrt.f64 (.f64 eps (+.f64 eps (*.f64 2 x)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (+.f64 eps (.f64 2 x))))) 2) 3) (cbrt.f64 (.f64 eps (+.f64 eps (*.f64 2 x)))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 eps (+.f64 eps (.f64 2 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 eps (+.f64 eps (*.f64 2 x))))) 3))
(.f64 (pow.f64 1 1/3) (.f64 eps (+.f64 eps (*.f64 2 x))))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 eps (+.f64 eps (.f64 2 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (.f64 eps (+.f64 eps (*.f64 2 x))) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 eps (+.f64 eps (.f64 2 x))) (cbrt.f64 (.f64 eps (+.f64 eps (.f64 2 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 eps (+.f64 eps (.f64 2 x))))))
(.f64 (pow.f64 (pow.f64 (.f64 eps (+.f64 eps (.f64 2 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (.f64 eps (+.f64 eps (*.f64 2 x))))))
(/.f64 (+.f64 (pow.f64 eps 6) (pow.f64 (.f64 2 (.f64 eps x)) 3)) (+.f64 (pow.f64 eps 4) (-.f64 (.f64 (pow.f64 (.f64 eps x) 2) 4) (.f64 (pow.f64 eps 2) (.f64 2 (*.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 eps 4) (.f64 (pow.f64 (.f64 eps x) 2) 4)) (-.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x))))
(pow.f64 (.f64 eps (+.f64 eps (.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (.f64 eps (+.f64 eps (.f64 2 x)))) 3)
(pow.f64 (pow.f64 (.f64 eps (+.f64 eps (.f64 2 x))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 eps (+.f64 eps (.f64 2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 eps (+.f64 eps (.f64 2 x)))) 2)
(sqrt.f64 (pow.f64 (.f64 eps (+.f64 eps (.f64 2 x))) 2))
(log.f64 (pow.f64 (exp.f64 eps) (+.f64 eps (*.f64 2 x))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 2) eps) x) (exp.f64 (pow.f64 eps 2))))
(cbrt.f64 (pow.f64 (.f64 eps (+.f64 eps (.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (.f64 eps (+.f64 eps (.f64 2 x)))))
(exp.f64 (log.f64 (.f64 eps (+.f64 eps (.f64 2 x)))))
(exp.f64 (.f64 (log.f64 (.f64 eps (+.f64 eps (*.f64 2 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 eps (+.f64 eps (.f64 2 x)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 eps (+.f64 eps (*.f64 2 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 eps (+.f64 eps (.f64 2 x))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 eps (+.f64 eps (*.f64 2 x))))) 2))
(log1p.f64 (expm1.f64 (.f64 eps (+.f64 eps (.f64 2 x)))))

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

eval26.0ms (0.6%)

Compiler: Compiled 1201 to 821 computations (31.6% saved)

prune17.0ms (0.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	90	4	94

Accuracy

100.0%

Counts

94 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 eps eps (.f64 eps (.f64 x 2)))
✓	100.0%	(.f64 eps (+.f64 eps (.f64 x 2)))
✓	67.0%	(.f64 eps (.f64 2 x))
✓	67.0%	(.f64 2 (.f64 eps x))

Compiler

Compiled 69 to 44 computations (36.2% saved)

regimes14.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
5.0ms	eps
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 53 to 34 computations (35.8% saved)

regimes7.0ms (0.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Accuracy	Segments	Branch
67.0%	1	`x`
67.0%	1	`eps`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	eps
3.0ms	x

Results

Accuracy	Segments	Branch
67.0%	1	`eps`
67.0%	1	`x`

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	66
1	21	66

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

soundness199.0ms (4.4%)

Rules

1436×	`fma-def`
1040×	`distribute-lft-neg-in`
1036×	`fma-def`
918×	`distribute-rgt-neg-in`
856×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	278
1	73	246
2	212	238
3	896	196
4	4899	196
0	164	2712
1	395	2269
2	1093	2208
3	4239	2208

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 219 to 113 computations (48.4% saved)

end0.0ms (0%)

preprocess38.0ms (0.8%)

Compiler: Compiled 60 to 40 computations (33.3% saved)

analyze1.0ms (0%)

sample3.4s (75.7%)

preprocess181.0ms (4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize52.0ms (1.1%)

series18.0ms (0.4%)

rewrite183.0ms (4%)

simplify72.0ms (1.6%)

eval23.0ms (0.5%)

prune13.0ms (0.3%)

localize100.0ms (2.2%)

series6.0ms (0.1%)

rewrite85.0ms (1.9%)

simplify60.0ms (1.3%)

eval26.0ms (0.6%)

prune17.0ms (0.4%)

regimes14.0ms (0.3%)

regimes7.0ms (0.2%)

regimes7.0ms (0.1%)

simplify3.0ms (0.1%)

soundness199.0ms (4.4%)

end0.0ms (0%)

preprocess38.0ms (0.8%)

Profiling