Details

analyze2.7s (16.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
31.2%	68.7%	0.1%	7
34.3%	65.6%	0.1%	8
37.5%	59.3%	3.2%	9
42.9%	53.5%	3.6%	10
44.5%	50%	5.6%	11
47.8%	45.8%	6.4%	12
48.7%	43.7%	7.6%	13
50.5%	41.3%	8.2%	14

Compiler

Compiled 130 to 81 computations (37.7% saved)

sample6.0s (36.7%)

Results

2.7s	7262×	body	128	valid
2.2s	5955×	body	128	invalid
444.0ms	428×	body	512	valid
417.0ms	318×	body	1024	valid
161.0ms	248×	body	256	valid

Compiler

Compiled 260 to 162 computations (37.7% saved)

preprocess46.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

398×	`fma-def_binary64`
333×	`associate-+l+_binary64`
292×	`associate-l_binary64`
276×	`associate-+r+_binary64`
276×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	328
1	216	310
2	841	300
3	4410	276
0	2	2

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 129 to 80 computations (38% saved)

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

812×	`distribute-rgt-in_binary64`
766×	`distribute-lft-in_binary64`
203×	`fma-def_binary64`
171×	`associate-+l+_binary64`
160×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	164
1	118	155
2	432	150
3	2227	138

Stop Event

1×	node limit

Counts

1 → 2

prune14.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.2b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.5b	(+.f64 x1 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 2 x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) (-.f64 (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) 6))) (+.f64 (.f64 x1 x1) 1)) (.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))) (.f64 (.f64 x1 x1) x1)) x1) (.f64 3 (/.f64 (-.f64 (-.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))
▶	0.2b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 x1 1)) (+.f64 (.f64 x1 (+.f64 -6 (.f64 2 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 x1 1))))) (.f64 (.f64 x1 x1) 4))) (.f64 x1 (.f64 x1 -6))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (*.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))

Status

Error

Program

0.5b

(+.f64 x1 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 2 x1) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))) (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)) 3)) (*.f64 (*.f64 x1 x1) (-.f64 (*.f64 4 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1))) 6))) (+.f64 (*.f64 x1 x1) 1)) (*.f64 (*.f64 (*.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))) (*.f64 (*.f64 x1 x1) x1)) x1) (*.f64 3 (/.f64 (-.f64 (-.f64 (*.f64 (*.f64 3 x1) x1) (*.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))))

▶

0.2b

(+.f64 (fma.f64 x1 (*.f64 x1 (/.f64 (*.f64 (fma.f64 2 x2 (fma.f64 x1 (*.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (*.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (*.f64 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (*.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 x1 1)) (+.f64 (*.f64 x1 (+.f64 -6 (*.f64 2 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (*.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 x1 1))))) (*.f64 (*.f64 x1 x1) 4))) (*.f64 x1 (*.f64 x1 -6))) x1))) (fma.f64 3 (/.f64 (-.f64 (*.f64 x1 (*.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))

Compiler

Compiled 679 to 420 computations (38.1% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (*.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1)))
✓	0.2b	(.f64 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 x1 1)) (+.f64 (.f64 x1 (+.f64 -6 (.f64 2 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 x1 1))))) (.f64 (*.f64 x1 x1) 4)))
✓	2.5b	(+.f64 (.f64 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 x1 1)) (+.f64 (.f64 x1 (+.f64 -6 (.f64 2 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 x1 1))))) (.f64 (.f64 x1 x1) 4))) (.f64 x1 (*.f64 x1 -6)))
✓	4.2b	(+.f64 -6 (.f64 2 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 x1 1))))

series279.0ms (1.7%)

Counts

4 → 96

Calls

24 calls:

37.0ms	(+.f64 (.f64 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 x1 1)) (+.f64 (.f64 x1 (+.f64 -6 (.f64 2 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 x1 1))))) (.f64 (.f64 x1 x1) 4))) (.f64 x1 (*.f64 x1 -6)))	x2	0
36.0ms	(+.f64 (.f64 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 x1 1)) (+.f64 (.f64 x1 (+.f64 -6 (.f64 2 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 x1 1))))) (.f64 (.f64 x1 x1) 4))) (.f64 x1 (*.f64 x1 -6)))	x2	-inf
36.0ms	(+.f64 (.f64 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 x1 1)) (+.f64 (.f64 x1 (+.f64 -6 (.f64 2 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 x1 1))))) (.f64 (.f64 x1 x1) 4))) (.f64 x1 (*.f64 x1 -6)))	x2	inf
27.0ms	(.f64 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 x1 1)) (+.f64 (.f64 x1 (+.f64 -6 (.f64 2 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 x1 1))))) (.f64 (*.f64 x1 x1) 4)))	x2	-inf
27.0ms	(.f64 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 x1 1)) (+.f64 (.f64 x1 (+.f64 -6 (.f64 2 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 x1 1))))) (.f64 (*.f64 x1 x1) 4)))	x2	inf

rewrite53.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

299×	`add-sqr-sqrt_binary64`
291×	`*-un-lft-identity_binary64`
291×	`pow1_binary64`
278×	`add-cbrt-cube_binary64`
278×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	181
1	600	181

Stop Event

1×	node limit

Counts

4 → 39

simplify107.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

769×	`cancel-sign-sub-inv_binary64`
439×	`sub-neg_binary64`
387×	`fma-neg_binary64`
371×	`fma-def_binary64`
276×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	5760
1	820	5209
2	2929	5195

Stop Event

1×	node limit

Counts

135 → 129

prune457.0ms (2.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	123	6	129
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	124	7	131

Error

0.1b

Counts

131 → 7

Alt Table

Status	Error	Program
▶	0.2b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 (+.f64 -6 (/.f64 (.f64 2 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1)))) (fma.f64 x1 x1 1))) (.f64 x1 (.f64 x1 4)))) (fma.f64 x1 x1 1)) (.f64 x1 (.f64 x1 -6))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	0.5b	(+.f64 x1 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 2 x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) (-.f64 (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) 6))) (+.f64 (.f64 x1 x1) 1)) (.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))) (.f64 (.f64 x1 x1) x1)) x1) (.f64 3 (/.f64 (-.f64 (-.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))
	10.6b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (-.f64 (fma.f64 2 (/.f64 (pow.f64 x1 3) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 12 (/.f64 (pow.f64 x1 4) (fma.f64 x1 x1 1)) (fma.f64 6 (/.f64 x1 (/.f64 (fma.f64 x1 x1 1) x1)) (.f64 18 (/.f64 (pow.f64 x1 5) (pow.f64 (fma.f64 x1 x1 1) 2)))))) (fma.f64 22 (/.f64 (pow.f64 x1 3) (fma.f64 x1 x1 1)) (fma.f64 6 (.f64 x1 x1) (.f64 12 (/.f64 (pow.f64 x1 4) (pow.f64 (fma.f64 x1 x1 1) 2)))))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (*.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	11.4b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 x1 1)) (+.f64 (.f64 x1 (fma.f64 4 x2 (-.f64 (fma.f64 6 (.f64 x1 x1) -6) (fma.f64 x1 2 (.f64 (.f64 x1 x1) (.f64 4 x2)))))) (.f64 (.f64 x1 x1) 4))) (.f64 x1 (.f64 x1 -6))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (*.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	4.3b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 x1 1)) (+.f64 (.f64 x1 (fma.f64 4 x2 -6)) (.f64 (.f64 x1 x1) 4))) (.f64 x1 (.f64 x1 -6))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (*.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	0.2b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 x1 1)) (+.f64 (.f64 x1 (-.f64 (fma.f64 6 (/.f64 x1 (/.f64 (fma.f64 x1 x1 1) x1)) (/.f64 4 (/.f64 (fma.f64 x1 x1 1) x2))) (fma.f64 2 (/.f64 x1 (fma.f64 x1 x1 1)) 6))) (.f64 (.f64 x1 x1) 4))) (.f64 x1 (.f64 x1 -6))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (*.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	11.0b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (-.f64 (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 x2 2) x1) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 18 (/.f64 (pow.f64 x1 5) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x1 3) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 12 (/.f64 (pow.f64 x1 4) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 24 (/.f64 (.f64 x2 (pow.f64 x1 3)) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 8 (/.f64 (.f64 x2 (pow.f64 x1 2)) (+.f64 1 (pow.f64 x1 2)))) (.f64 6 (/.f64 (pow.f64 x1 2) (+.f64 1 (pow.f64 x1 2)))))))))) (+.f64 (.f64 22 (/.f64 (pow.f64 x1 3) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 8 (/.f64 (.f64 x2 (pow.f64 x1 2)) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 6 (pow.f64 x1 2)) (+.f64 (.f64 12 (/.f64 (.f64 x2 x1) (+.f64 1 (pow.f64 x1 2)))) (.f64 12 (/.f64 (pow.f64 x1 4) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2)))))))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (*.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))

Compiler

Compiled 15121 to 9555 computations (36.8% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (*.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1)))
✓	0.2b	(.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 (+.f64 -6 (/.f64 (.f64 2 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1)))) (fma.f64 x1 x1 1))) (.f64 x1 (.f64 x1 4))))
✓	2.5b	(+.f64 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 (+.f64 -6 (/.f64 (.f64 2 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1)))) (fma.f64 x1 x1 1))) (.f64 x1 (.f64 x1 4)))) (fma.f64 x1 x1 1)) (.f64 x1 (.f64 x1 -6)))
✓	4.2b	(+.f64 -6 (/.f64 (.f64 2 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1)))) (fma.f64 x1 x1 1)))

series193.0ms (1.2%)

Counts

3 → 72

Calls

18 calls:

33.0ms	(+.f64 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 (+.f64 -6 (/.f64 (.f64 2 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1)))) (fma.f64 x1 x1 1))) (.f64 x1 (.f64 x1 4)))) (fma.f64 x1 x1 1)) (.f64 x1 (.f64 x1 -6)))	x2	inf
31.0ms	(+.f64 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 (+.f64 -6 (/.f64 (.f64 2 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1)))) (fma.f64 x1 x1 1))) (.f64 x1 (.f64 x1 4)))) (fma.f64 x1 x1 1)) (.f64 x1 (.f64 x1 -6)))	x2	-inf
30.0ms	(+.f64 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 (+.f64 -6 (/.f64 (.f64 2 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1)))) (fma.f64 x1 x1 1))) (.f64 x1 (.f64 x1 4)))) (fma.f64 x1 x1 1)) (.f64 x1 (.f64 x1 -6)))	x2	0
22.0ms	(.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 (+.f64 -6 (/.f64 (.f64 2 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1)))) (fma.f64 x1 x1 1))) (.f64 x1 (.f64 x1 4))))	x2	-inf
15.0ms	(.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 (+.f64 -6 (/.f64 (.f64 2 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1)))) (fma.f64 x1 x1 1))) (.f64 x1 (.f64 x1 4))))	x2	0

rewrite55.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

254×	`add-sqr-sqrt_binary64`
246×	`*-un-lft-identity_binary64`
246×	`pow1_binary64`
236×	`add-cbrt-cube_binary64`
236×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	149
1	514	147

Stop Event

1×	node limit

Counts

3 → 62

simplify85.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

433×	`fma-neg_binary64`
430×	`sub-neg_binary64`
408×	`fma-def_binary64`
292×	`times-frac_binary64`
211×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	4588
1	816	4199
2	3150	4147

Stop Event

1×	node limit

Counts

134 → 134

prune729.0ms (4.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	156	7	163
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	160	10	170

Error

0.1b

Counts

170 → 10

Alt Table

Status	Error	Program
	11.0b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (-.f64 (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 x2 2) x1) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 18 (/.f64 (pow.f64 x1 5) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x1 3) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 12 (/.f64 (pow.f64 x1 4) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 24 (/.f64 (.f64 x2 (pow.f64 x1 3)) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 8 (/.f64 (.f64 x2 (pow.f64 x1 2)) (+.f64 1 (pow.f64 x1 2)))) (.f64 6 (/.f64 (pow.f64 x1 2) (+.f64 1 (pow.f64 x1 2)))))))))) (+.f64 (.f64 22 (/.f64 (pow.f64 x1 3) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 8 (/.f64 (.f64 x2 (pow.f64 x1 2)) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 6 (pow.f64 x1 2)) (+.f64 (.f64 12 (/.f64 (.f64 x2 x1) (+.f64 1 (pow.f64 x1 2)))) (.f64 12 (/.f64 (pow.f64 x1 4) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2)))))))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (*.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	11.4b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 (fma.f64 4 x2 (-.f64 (fma.f64 6 (.f64 x1 x1) -6) (fma.f64 x1 2 (.f64 (.f64 x1 x1) (.f64 4 x2))))) (.f64 x1 (.f64 x1 4)))) (fma.f64 x1 x1 1)) (.f64 x1 (.f64 x1 -6))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	0.5b	(+.f64 x1 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 2 x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) (-.f64 (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) 6))) (+.f64 (.f64 x1 x1) 1)) (.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))) (.f64 (.f64 x1 x1) x1)) x1) (.f64 3 (/.f64 (-.f64 (-.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))
▶	0.2b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 (fma.f64 1 (/.f64 2 (/.f64 (fma.f64 x1 x1 1) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))))) -6) (.f64 x1 (.f64 x1 4)))) (fma.f64 x1 x1 1)) (.f64 x1 (.f64 x1 -6))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (*.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	11.0b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 (/.f64 (pow.f64 x1 3) (fma.f64 x1 x1 1)) (fma.f64 18 (/.f64 (pow.f64 x1 5) (fma.f64 x1 x1 1)) (fma.f64 8 (/.f64 x1 (/.f64 (fma.f64 x1 x1 1) (.f64 x2 x2))) (+.f64 (fma.f64 (pow.f64 x1 4) 12 (.f64 24 (.f64 (/.f64 x2 (fma.f64 x1 x1 1)) (pow.f64 x1 3)))) (.f64 (.f64 x1 x1) (+.f64 (.f64 x2 8) 6)))))) (fma.f64 12 (.f64 x1 x2) (fma.f64 12 (/.f64 (pow.f64 x1 4) (fma.f64 x1 x1 1)) (fma.f64 (pow.f64 x1 3) 22 (/.f64 (.f64 x1 (.f64 x1 x2)) (/.f64 (fma.f64 x1 x1 1) 8)))))) (fma.f64 x1 x1 1)) (.f64 x1 (.f64 x1 -6))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (*.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	18.0b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (fma.f64 (sqrt.f64 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (/.f64 (fma.f64 x1 x1 1) (fma.f64 x1 (+.f64 -6 (/.f64 2 (/.f64 (fma.f64 x1 x1 1) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1)))))) (.f64 x1 (.f64 x1 4)))))) (sqrt.f64 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (/.f64 (fma.f64 x1 x1 1) (fma.f64 x1 (+.f64 -6 (/.f64 2 (/.f64 (fma.f64 x1 x1 1) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1)))))) (.f64 x1 (.f64 x1 4)))))) (.f64 x1 (.f64 -6 x1))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	0.4b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 x1 (.f64 -6 x1))) 2) (cbrt.f64 (.f64 x1 (.f64 -6 x1))) (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (/.f64 (fma.f64 x1 x1 1) (fma.f64 x1 (+.f64 -6 (/.f64 2 (/.f64 (fma.f64 x1 x1 1) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1)))))) (.f64 x1 (.f64 x1 4)))))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	4.3b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 x1 1)) (+.f64 (.f64 x1 (fma.f64 4 x2 -6)) (.f64 (.f64 x1 x1) 4))) (.f64 x1 (.f64 x1 -6))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (*.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	1.8b	(+.f64 (fma.f64 x1 (fma.f64 6 (.f64 x1 x2) (.f64 (.f64 x1 x1) -3)) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 (+.f64 -6 (/.f64 (.f64 2 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1)))) (fma.f64 x1 x1 1))) (.f64 x1 (.f64 x1 4)))) (fma.f64 x1 x1 1)) (.f64 x1 (.f64 x1 -6))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	0.5b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x1 (.f64 -6 x1) (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (/.f64 (fma.f64 x1 x1 1) (fma.f64 x1 (+.f64 -6 (/.f64 2 (/.f64 (fma.f64 x1 x1 1) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1)))))) (.f64 x1 (.f64 x1 4))))))) 2) (cbrt.f64 (fma.f64 x1 (.f64 -6 x1) (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (/.f64 (fma.f64 x1 x1 1) (fma.f64 x1 (+.f64 -6 (/.f64 2 (/.f64 (fma.f64 x1 x1 1) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1)))))) (.f64 x1 (.f64 x1 4)))))))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (*.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))

Compiler

Compiled 18759 to 11801 computations (37.1% saved)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (*.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1)))
✓	0.2b	(.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 (fma.f64 1 (/.f64 2 (/.f64 (fma.f64 x1 x1 1) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))))) -6) (.f64 x1 (*.f64 x1 4))))
✓	2.5b	(+.f64 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 (fma.f64 1 (/.f64 2 (/.f64 (fma.f64 x1 x1 1) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))))) -6) (.f64 x1 (.f64 x1 4)))) (fma.f64 x1 x1 1)) (.f64 x1 (*.f64 x1 -6)))
✓	4.2b	(fma.f64 1 (/.f64 2 (/.f64 (fma.f64 x1 x1 1) (fma.f64 2 x2 (fma.f64 x1 (*.f64 x1 3) (neg.f64 x1))))) -6)

series211.0ms (1.3%)

Counts

3 → 72

Calls

18 calls:

33.0ms	(+.f64 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 (fma.f64 1 (/.f64 2 (/.f64 (fma.f64 x1 x1 1) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))))) -6) (.f64 x1 (.f64 x1 4)))) (fma.f64 x1 x1 1)) (.f64 x1 (*.f64 x1 -6)))	x2	-inf
31.0ms	(+.f64 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 (fma.f64 1 (/.f64 2 (/.f64 (fma.f64 x1 x1 1) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))))) -6) (.f64 x1 (.f64 x1 4)))) (fma.f64 x1 x1 1)) (.f64 x1 (*.f64 x1 -6)))	x2	inf
30.0ms	(+.f64 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 (fma.f64 1 (/.f64 2 (/.f64 (fma.f64 x1 x1 1) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))))) -6) (.f64 x1 (.f64 x1 4)))) (fma.f64 x1 x1 1)) (.f64 x1 (*.f64 x1 -6)))	x2	0
22.0ms	(.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 (fma.f64 1 (/.f64 2 (/.f64 (fma.f64 x1 x1 1) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))))) -6) (.f64 x1 (*.f64 x1 4))))	x2	-inf
18.0ms	(.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 (fma.f64 1 (/.f64 2 (/.f64 (fma.f64 x1 x1 1) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))))) -6) (.f64 x1 (*.f64 x1 4))))	x2	0

rewrite86.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

252×	`add-sqr-sqrt_binary64`
243×	`*-un-lft-identity_binary64`
243×	`pow1_binary64`
234×	`add-cbrt-cube_binary64`
234×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	149
1	512	141

Stop Event

1×	node limit

Counts

3 → 57

simplify90.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

433×	`fma-neg_binary64`
430×	`sub-neg_binary64`
408×	`fma-def_binary64`
292×	`times-frac_binary64`
211×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	4588
1	816	4199
2	3150	4147

Stop Event

1×	node limit

Counts

129 → 129

prune818.0ms (5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	155	3	158
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	157	11	168

Error

0.1b

Counts

168 → 11

Alt Table

Status	Error	Program
	18.1b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (fma.f64 (sqrt.f64 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (/.f64 (fma.f64 x1 x1 1) (fma.f64 x1 (fma.f64 (/.f64 2 (fma.f64 x1 x1 1)) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) -6) (.f64 (.f64 x1 x1) 4))))) (sqrt.f64 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (/.f64 (fma.f64 x1 x1 1) (fma.f64 x1 (fma.f64 (/.f64 2 (fma.f64 x1 x1 1)) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) -6) (.f64 (.f64 x1 x1) 4))))) (.f64 (.f64 x1 x1) -6)) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	11.0b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 (/.f64 (pow.f64 x1 3) (fma.f64 x1 x1 1)) (fma.f64 18 (/.f64 (pow.f64 x1 5) (fma.f64 x1 x1 1)) (fma.f64 8 (/.f64 x1 (/.f64 (fma.f64 x1 x1 1) (.f64 x2 x2))) (+.f64 (fma.f64 (pow.f64 x1 4) 12 (.f64 24 (.f64 (/.f64 x2 (fma.f64 x1 x1 1)) (pow.f64 x1 3)))) (.f64 (.f64 x1 x1) (+.f64 (.f64 x2 8) 6)))))) (fma.f64 12 (.f64 x1 x2) (fma.f64 12 (/.f64 (pow.f64 x1 4) (fma.f64 x1 x1 1)) (fma.f64 (pow.f64 x1 3) 22 (/.f64 (.f64 x1 (.f64 x1 x2)) (/.f64 (fma.f64 x1 x1 1) 8)))))) (fma.f64 x1 x1 1)) (.f64 x1 (.f64 x1 -6))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (*.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	11.0b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (-.f64 (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 x2 2) x1) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 18 (/.f64 (pow.f64 x1 5) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x1 3) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 12 (/.f64 (pow.f64 x1 4) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 24 (/.f64 (.f64 x2 (pow.f64 x1 3)) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 8 (/.f64 (.f64 x2 (pow.f64 x1 2)) (+.f64 1 (pow.f64 x1 2)))) (.f64 6 (/.f64 (pow.f64 x1 2) (+.f64 1 (pow.f64 x1 2)))))))))) (+.f64 (.f64 22 (/.f64 (pow.f64 x1 3) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 8 (/.f64 (.f64 x2 (pow.f64 x1 2)) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 6 (pow.f64 x1 2)) (+.f64 (.f64 12 (/.f64 (.f64 x2 x1) (+.f64 1 (pow.f64 x1 2)))) (.f64 12 (/.f64 (pow.f64 x1 4) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2)))))))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (*.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	11.0b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 (/.f64 (pow.f64 x1 3) (fma.f64 x1 x1 1)) (fma.f64 18 (/.f64 (pow.f64 x1 5) (fma.f64 x1 x1 1)) (fma.f64 8 (/.f64 (.f64 x2 x2) (/.f64 (fma.f64 x1 x1 1) x1)) (+.f64 (fma.f64 (pow.f64 x1 4) 12 (.f64 24 (.f64 (/.f64 x2 (fma.f64 x1 x1 1)) (pow.f64 x1 3)))) (.f64 (.f64 x1 x1) (+.f64 (.f64 x2 8) 6)))))) (fma.f64 12 (.f64 x2 x1) (fma.f64 12 (/.f64 (pow.f64 x1 4) (fma.f64 x1 x1 1)) (fma.f64 8 (.f64 (/.f64 x2 (fma.f64 x1 x1 1)) (.f64 x1 x1)) (.f64 (pow.f64 x1 3) 22))))) (fma.f64 x1 x1 1)) (.f64 x1 (.f64 x1 -6))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	11.4b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 (fma.f64 4 x2 (-.f64 (fma.f64 6 (.f64 x1 x1) -6) (fma.f64 x1 2 (.f64 (.f64 x1 x1) (.f64 4 x2))))) (.f64 x1 (.f64 x1 4)))) (fma.f64 x1 x1 1)) (.f64 x1 (.f64 x1 -6))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	0.5b	(+.f64 x1 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 2 x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) (-.f64 (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) 6))) (+.f64 (.f64 x1 x1) 1)) (.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))) (.f64 (.f64 x1 x1) x1)) x1) (.f64 3 (/.f64 (-.f64 (-.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))
✓	0.2b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 (fma.f64 1 (/.f64 2 (/.f64 (fma.f64 x1 x1 1) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))))) -6) (.f64 x1 (.f64 x1 4)))) (fma.f64 x1 x1 1)) (.f64 x1 (.f64 x1 -6))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (*.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
▶	0.4b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x1 x1) -6)) 2) (cbrt.f64 (.f64 (.f64 x1 x1) -6)) (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (/.f64 (fma.f64 x1 x1 1) (fma.f64 x1 (fma.f64 (/.f64 2 (fma.f64 x1 x1 1)) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) -6) (.f64 (.f64 x1 x1) 4))))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	4.3b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 x1 1)) (+.f64 (.f64 x1 (fma.f64 4 x2 -6)) (.f64 (.f64 x1 x1) 4))) (.f64 x1 (.f64 x1 -6))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (*.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	1.8b	(+.f64 (fma.f64 x1 (fma.f64 6 (.f64 x1 x2) (.f64 (.f64 x1 x1) -3)) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 (+.f64 -6 (/.f64 (.f64 2 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1)))) (fma.f64 x1 x1 1))) (.f64 x1 (.f64 x1 4)))) (fma.f64 x1 x1 1)) (.f64 x1 (.f64 x1 -6))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	0.5b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x1 (.f64 -6 x1) (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (/.f64 (fma.f64 x1 x1 1) (fma.f64 x1 (+.f64 -6 (/.f64 2 (/.f64 (fma.f64 x1 x1 1) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1)))))) (.f64 x1 (.f64 x1 4))))))) 2) (cbrt.f64 (fma.f64 x1 (.f64 -6 x1) (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (/.f64 (fma.f64 x1 x1 1) (fma.f64 x1 (+.f64 -6 (/.f64 2 (/.f64 (fma.f64 x1 x1 1) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1)))))) (.f64 x1 (.f64 x1 4)))))))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (*.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))

Compiler

Compiled 18340 to 11472 computations (37.4% saved)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (cbrt.f64 (.f64 (.f64 x1 x1) -6)) 2)
✓	7.4b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x1 x1) -6)) 2) (cbrt.f64 (.f64 (.f64 x1 x1) -6)) (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (/.f64 (fma.f64 x1 x1 1) (fma.f64 x1 (fma.f64 (/.f64 2 (fma.f64 x1 x1 1)) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) -6) (.f64 (.f64 x1 x1) 4)))))
✓	8.0b	(fma.f64 (/.f64 2 (fma.f64 x1 x1 1)) (fma.f64 2 x2 (fma.f64 x1 (*.f64 x1 3) (neg.f64 x1))) -6)
✓	27.3b	(cbrt.f64 (.f64 (.f64 x1 x1) -6))

series313.0ms (1.9%)

Counts

4 → 48

Calls

18 calls:

66.0ms	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x1 x1) -6)) 2) (cbrt.f64 (.f64 (.f64 x1 x1) -6)) (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (/.f64 (fma.f64 x1 x1 1) (fma.f64 x1 (fma.f64 (/.f64 2 (fma.f64 x1 x1 1)) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) -6) (.f64 (.f64 x1 x1) 4)))))	x2	-inf
63.0ms	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x1 x1) -6)) 2) (cbrt.f64 (.f64 (.f64 x1 x1) -6)) (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (/.f64 (fma.f64 x1 x1 1) (fma.f64 x1 (fma.f64 (/.f64 2 (fma.f64 x1 x1 1)) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) -6) (.f64 (.f64 x1 x1) 4)))))	x2	0
50.0ms	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x1 x1) -6)) 2) (cbrt.f64 (.f64 (.f64 x1 x1) -6)) (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (/.f64 (fma.f64 x1 x1 1) (fma.f64 x1 (fma.f64 (/.f64 2 (fma.f64 x1 x1 1)) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) -6) (.f64 (.f64 x1 x1) 4)))))	x2	inf
22.0ms	(pow.f64 (cbrt.f64 (.f64 (.f64 x1 x1) -6)) 2)	x1	0
21.0ms	(pow.f64 (cbrt.f64 (.f64 (.f64 x1 x1) -6)) 2)	x1	-inf

rewrite41.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

242×	`add-sqr-sqrt_binary64`
233×	`pow1_binary64`
232×	`*-un-lft-identity_binary64`
225×	`add-cbrt-cube_binary64`
225×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	113
1	505	104

Stop Event

1×	node limit

Counts

4 → 72

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

423×	`cancel-sign-sub-inv_binary64`
254×	`sub-neg_binary64`
245×	`associate-r_binary64`
244×	`associate-/l*_binary64`
235×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	2925
1	522	2654
2	1873	2619

Stop Event

1×	node limit

Counts

120 → 119

prune814.0ms (5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	142	2	144
Fresh	2	7	9
Picked	1	0	1
Done	0	1	1
Total	145	10	155

Error

0.1b

Counts

155 → 10

Alt Table

Status	Error	Program
	11.0b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (-.f64 (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 x2 2) x1) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 18 (/.f64 (pow.f64 x1 5) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x1 3) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 12 (/.f64 (pow.f64 x1 4) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 24 (/.f64 (.f64 x2 (pow.f64 x1 3)) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 8 (/.f64 (.f64 x2 (pow.f64 x1 2)) (+.f64 1 (pow.f64 x1 2)))) (.f64 6 (/.f64 (pow.f64 x1 2) (+.f64 1 (pow.f64 x1 2)))))))))) (+.f64 (.f64 22 (/.f64 (pow.f64 x1 3) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 8 (/.f64 (.f64 x2 (pow.f64 x1 2)) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2))) (+.f64 (.f64 6 (pow.f64 x1 2)) (+.f64 (.f64 12 (/.f64 (.f64 x2 x1) (+.f64 1 (pow.f64 x1 2)))) (.f64 12 (/.f64 (pow.f64 x1 4) (pow.f64 (+.f64 1 (pow.f64 x1 2)) 2)))))))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (*.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	11.0b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 (/.f64 (pow.f64 x1 3) (fma.f64 x1 x1 1)) (fma.f64 18 (/.f64 (pow.f64 x1 5) (fma.f64 x1 x1 1)) (fma.f64 8 (/.f64 (.f64 x2 x2) (/.f64 (fma.f64 x1 x1 1) x1)) (+.f64 (fma.f64 (pow.f64 x1 4) 12 (.f64 24 (.f64 (/.f64 x2 (fma.f64 x1 x1 1)) (pow.f64 x1 3)))) (.f64 (.f64 x1 x1) (+.f64 (.f64 x2 8) 6)))))) (fma.f64 12 (.f64 x2 x1) (fma.f64 12 (/.f64 (pow.f64 x1 4) (fma.f64 x1 x1 1)) (fma.f64 8 (.f64 (/.f64 x2 (fma.f64 x1 x1 1)) (.f64 x1 x1)) (.f64 (pow.f64 x1 3) 22))))) (fma.f64 x1 x1 1)) (.f64 x1 (.f64 x1 -6))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	11.4b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 (fma.f64 4 x2 (-.f64 (fma.f64 6 (.f64 x1 x1) -6) (fma.f64 x1 2 (.f64 (.f64 x1 x1) (.f64 4 x2))))) (.f64 x1 (.f64 x1 4)))) (fma.f64 x1 x1 1)) (.f64 x1 (.f64 x1 -6))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	0.5b	(+.f64 x1 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 2 x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) (-.f64 (.f64 4 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1))) 6))) (+.f64 (.f64 x1 x1) 1)) (.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))) (.f64 (.f64 x1 x1) x1)) x1) (.f64 3 (/.f64 (-.f64 (-.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))
✓	0.2b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 (fma.f64 1 (/.f64 2 (/.f64 (fma.f64 x1 x1 1) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))))) -6) (.f64 x1 (.f64 x1 4)))) (fma.f64 x1 x1 1)) (.f64 x1 (.f64 x1 -6))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (*.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	11.0b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 (/.f64 (pow.f64 x1 3) (fma.f64 x1 x1 1)) (fma.f64 18 (/.f64 (pow.f64 x1 5) (fma.f64 x1 x1 1)) (fma.f64 8 (/.f64 x1 (/.f64 (fma.f64 x1 x1 1) (.f64 x2 x2))) (+.f64 (fma.f64 (pow.f64 x1 4) 12 (.f64 24 (.f64 (/.f64 x2 (fma.f64 x1 x1 1)) (pow.f64 x1 3)))) (.f64 (.f64 x1 x1) (+.f64 (.f64 x2 8) 6)))))) (fma.f64 12 (.f64 x1 x2) (fma.f64 12 (/.f64 (pow.f64 x1 4) (fma.f64 x1 x1 1)) (fma.f64 (pow.f64 x1 3) 22 (/.f64 (.f64 x1 (.f64 x1 x2)) (/.f64 (fma.f64 x1 x1 1) 8)))))) (fma.f64 x1 x1 1)) (.f64 x1 (.f64 x1 -6))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (*.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	1.4b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x1 x1) -6)) 2) (cbrt.f64 (.f64 (.f64 x1 x1) -6)) (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (/.f64 (fma.f64 x1 x1 1) (fma.f64 x1 (+.f64 (.f64 (/.f64 2 (fma.f64 x1 x1 1)) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) x1))) -6) (.f64 (.f64 x1 x1) 4))))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (*.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	0.3b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (fma.f64 (.f64 (cbrt.f64 (pow.f64 x1 4)) (cbrt.f64 36)) (cbrt.f64 (.f64 (.f64 x1 x1) -6)) (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (/.f64 (fma.f64 x1 x1 1) (fma.f64 x1 (fma.f64 (/.f64 2 (fma.f64 x1 x1 1)) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) -6) (.f64 (.f64 x1 x1) 4))))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (*.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	1.8b	(+.f64 (fma.f64 x1 (fma.f64 6 (.f64 x1 x2) (.f64 (.f64 x1 x1) -3)) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (fma.f64 x1 (+.f64 -6 (/.f64 (.f64 2 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1)))) (fma.f64 x1 x1 1))) (.f64 x1 (.f64 x1 4)))) (fma.f64 x1 x1 1)) (.f64 x1 (.f64 x1 -6))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))
	0.5b	(+.f64 (fma.f64 x1 (.f64 x1 (/.f64 (.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) 3) (fma.f64 x1 x1 1))) (.f64 (fma.f64 x1 x1 1) (+.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x1 (.f64 -6 x1) (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (/.f64 (fma.f64 x1 x1 1) (fma.f64 x1 (+.f64 -6 (/.f64 2 (/.f64 (fma.f64 x1 x1 1) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1)))))) (.f64 x1 (.f64 x1 4))))))) 2) (cbrt.f64 (fma.f64 x1 (.f64 -6 x1) (/.f64 (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1))) (/.f64 (fma.f64 x1 x1 1) (fma.f64 x1 (+.f64 -6 (/.f64 2 (/.f64 (fma.f64 x1 x1 1) (fma.f64 2 x2 (fma.f64 x1 (.f64 x1 3) (neg.f64 x1)))))) (.f64 x1 (.f64 x1 4)))))))) x1))) (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (*.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) x1))

Compiler

Compiled 16093 to 9903 computations (38.5% saved)

regimes2.2s (13.8%)

Accuracy

Total 0.2b remaining (52.2%)

Threshold costs 0.2b (52.2%)

Counts

230 → 1

Compiler

Compiled 86468 to 55288 computations (36.1% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
9×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	134
1	65	134
2	71	134
3	74	134
4	75	134

Stop Event

1×

saturated

end672.0ms (4.1%)

Stop Event

1×

fuel

Compiler

Compiled 1470 to 960 computations (34.7% saved)

Details

analyze2.7s (16.8%)

sample6.0s (36.7%)

preprocess46.0ms (0.3%)

simplify23.0ms (0.1%)

prune14.0ms (0.1%)

localize38.0ms (0.2%)

series279.0ms (1.7%)

rewrite53.0ms (0.3%)

simplify107.0ms (0.7%)

prune457.0ms (2.8%)

localize36.0ms (0.2%)

series193.0ms (1.2%)

rewrite55.0ms (0.3%)

simplify85.0ms (0.5%)

prune729.0ms (4.5%)

localize37.0ms (0.2%)

series211.0ms (1.3%)

rewrite86.0ms (0.5%)

simplify90.0ms (0.6%)

prune818.0ms (5%)

localize40.0ms (0.2%)

series313.0ms (1.9%)

rewrite41.0ms (0.2%)

simplify63.0ms (0.4%)

prune814.0ms (5%)

regimes2.2s (13.8%)

simplify5.0ms (0%)

end672.0ms (4.1%)

Profiling