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

analyze0.0ms (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-add, time spent: 0.0ms, 0.0% of total-time

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

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

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

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

sample2.0s (57.2%)

Results

1.1s	6277×	256	valid
267.0ms	1021×	512	valid
353.0ms	946×	1024	valid
4.0ms	11×	2048	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 854.0ms

Operation ival-<=, time spent: 262.0ms, 31.0% of total-time

Operation ival-pow, time spent: 231.0ms, 27.0% of total-time

Operation ival-add, time spent: 188.0ms, 22.0% of total-time

Operation ival-sub, time spent: 82.0ms, 10.0% of total-time

Operation const, time spent: 46.0ms, 5.0% of total-time

Operation ival-and, time spent: 43.0ms, 5.0% of total-time

Bogosity

preprocess261.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

1082×	`fma-define`
1040×	`distribute-lft-neg-in`
916×	`distribute-rgt-neg-in`
856×	`unswap-sqr`
720×	`associate-r`

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
69	0	-	-	`(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))`
0	0	-	-	`x`
0	81	(7.322405602694194e-97 5.811319063686228e-78)	-	`(pow.f64 (+.f64 x eps) 2)`
0	0	-	-	`(+.f64 x eps)`
0	0	-	-	`(pow.f64 x 2)`
0	0	-	-	`2`
0	0	-	-	`eps`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	278
1	73	246
2	212	238
3	896	196
4	4860	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 63 to 36 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

Operation ival-pow, time spent: 26.0ms, 69.0% of total-time

Operation ival-add, time spent: 5.0ms, 13.0% of total-time

Operation ival-sub, time spent: 4.0ms, 11.0% of total-time

Operation const, time spent: 3.0ms, 8.0% 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)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize61.0ms (1.7%)

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: 16.0ms

Operation ival-add, time spent: 8.0ms, 49.0% of total-time

Operation ival-mult, time spent: 7.0ms, 42.0% of total-time

Operation const, time spent: 1.0ms, 6.0% of total-time

series6.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite235.0ms (6.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1786×	`prod-diff`
1158×	`unpow-prod-down`
614×	`log-prod`
606×	`log1p-expm1-u`
606×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	120	24
2	1668	24

Stop Event

1×	node limit

Counts

1 → 56

Calls

Call 1

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

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

simplify162.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

900×	`cancel-sign-sub-inv`
842×	`fma-define`
806×	`fma-neg`
684×	`associate-+r+`
658×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	2723
1	398	2280
2	1155	2212
3	3963	2206

Stop Event

1×	node limit

Counts

80 → 76

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

eval35.0ms (1%)

Compiler: Compiled 1076 to 707 computations (34.3% saved)

prune13.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	4	77

Accuracy

100.0%

Counts

77 → 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)))
▶	65.1%	(.f64 eps (.f64 2 x))
▶	65.1%	(.f64 2 (.f64 eps x))

Compiler

Compiled 33 to 22 computations (33.3% saved)

localize131.0ms (3.7%)

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: 26.0ms

Operation ival-mult, time spent: 18.0ms, 70.0% of total-time

Operation composed, time spent: 4.0ms, 15.0% of total-time

Operation ival-add, time spent: 2.0ms, 8.0% of total-time

Operation const, time spent: 2.0ms, 8.0% of total-time

series13.0ms (0.4%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(.f64 2 (.f64 eps x))
1.0ms	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))
1.0ms	eps	@	inf	(.f64 2 (.f64 eps x))

rewrite83.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1278×	`unpow-prod-down`
730×	`log-prod`
557×	`log1p-expm1-u`
557×	`expm1-log1p-u`
512×	`pow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	151	47
2	1554	47

Stop Event

1×	node limit

Counts

2 → 64

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

simplify55.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1720×	`fma-define`
960×	`unswap-sqr`
752×	`distribute-lft-in`
702×	`distribute-rgt-in`
472×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	2777
1	420	2298
2	1582	2262

Stop Event

1×	node limit

Counts

88 → 86

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

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

eval45.0ms (1.3%)

Compiler: Compiled 1171 to 782 computations (33.2% saved)

prune15.0ms (0.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	86	4	90

Accuracy

100.0%

Counts

90 → 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)))
✓	65.1%	(.f64 eps (.f64 2 x))
✓	65.1%	(.f64 2 (.f64 eps x))

Compiler

Compiled 69 to 44 computations (36.2% saved)

regimes11.0ms (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
(fma.f64 eps eps (.f64 eps (.f64 x 2)))

Calls

3 calls:

4.0ms	x
4.0ms	eps
2.0ms	(-.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 17 to 12 computations (29.4% saved)

regimes8.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
3.0ms	eps

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (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
65.1%	1	`x`
65.1%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (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:

2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
65.1%	1	`eps`
65.1%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	99
1	24	99

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 33 to 22 computations (33.3% saved)

soundness330.0ms (9.3%)

Rules

1786×	`prod-diff`
1158×	`unpow-prod-down`
1082×	`fma-define`
1040×	`distribute-lft-neg-in`
916×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	278
1	73	246
2	212	238
3	896	196
4	4860	196
0	11	28
1	120	24
2	1668	24
0	160	2723
1	398	2280
2	1155	2212
3	3963	2206

Stop Event

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

Compiler

Compiled 221 to 111 computations (49.8% saved)

end0.0ms (0%)

preprocess42.0ms (1.2%)

Compiler: Compiled 76 to 48 computations (36.8% saved)

analyze0.0ms (0%)

sample2.0s (57.2%)

preprocess261.0ms (7.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize61.0ms (1.7%)

series6.0ms (0.2%)

rewrite235.0ms (6.6%)

simplify162.0ms (4.5%)

eval35.0ms (1%)

prune13.0ms (0.4%)

localize131.0ms (3.7%)

series13.0ms (0.4%)

rewrite83.0ms (2.3%)

simplify55.0ms (1.5%)

eval45.0ms (1.3%)

prune15.0ms (0.4%)

regimes11.0ms (0.3%)

regimes8.0ms (0.2%)

regimes6.0ms (0.2%)

regimes5.0ms (0.1%)

simplify9.0ms (0.2%)

soundness330.0ms (9.3%)

end0.0ms (0%)

preprocess42.0ms (1.2%)

Profiling