Details

analyze3.0s (3.6%)

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)

sample7.1s (8.5%)

Results

2.9s	7276×	body	128	valid
2.8s	6085×	body	128	invalid
520.0ms	436×	body	512	valid
430.0ms	289×	body	1024	valid
249.0ms	255×	body	256	valid

Compiler

Compiled 389 to 242 computations (37.8% saved)

simplify31.0ms (0%)

Algorithm

1×	egg-herbie

Rules

797×	`distribute-rgt-in_binary64`
779×	`distribute-lft-in_binary64`
203×	`fma-def_binary64`
172×	`associate-+l+_binary64`
168×	`distribute-lft-out_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	164
1	118	155
2	404	150
3	1778	138
4	5017	138

prune10.0ms (0%)

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
▶	0.3b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6)) 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)))))

Status

Error

Program

▶

0.3b

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

Compiler

Compiled 679 to 420 computations (38.1% saved)

localize38.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x1 x1) -6)
✓	0.3b	(.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))))
✓	2.4b	(+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
✓	2.8b	(-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)

series301.0ms (0.4%)

Counts

4 → 84

Calls

4 calls:

200.0ms	(+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
50.0ms	(-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)
48.0ms	(.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))))
2.0ms	(.f64 (.f64 x1 x1) -6)

rewrite66.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

92×	`add-sqr-sqrt_binary64`
88×	`*-un-lft-identity_binary64`
62×	`add-cube-cbrt_binary64`
61×	`times-frac_binary64`
57×	`prod-diff_binary64`

Counts

4 → 156

Calls

4 calls:

26.0ms	(+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
10.0ms	(-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)
7.0ms	(.f64 (.f64 x1 x1) -6)
7.0ms	(.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))))

simplify192.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

886×	`times-frac_binary64`
448×	`fma-neg_binary64`
337×	`fma-def_binary64`
252×	`associate-r_binary64`
250×	`associate-l_binary64`

Counts

240 → 270

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	437	10619
1	1158	8250
2	3993	8045
3	5709	8045

prune1.2s (1.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	260	10	270
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	261	11	272

Error

0.0b

Counts

272 → 11

Alt Table

Status	Error	Program
	21.9b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (/.f64 (-.f64 (.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4)))) (.f64 (.f64 (.f64 x1 x1) -6) (.f64 (.f64 x1 x1) -6))) (-.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6))) x1)))))
▶	0.3b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 x1 x1 1))) (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (sqrt.f64 (fma.f64 x1 x1 1))) -3)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6)) x1)))))
	1.6b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (fma.f64 x2 (.f64 x1 6) (.f64 (.f64 x1 x1) -3)) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6)) x1)))))
	23.1b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (fma.f64 x1 (.f64 x1 6) (*.f64 x1 -4)) x1)))))
	9.7b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (-.f64 (fma.f64 8 (/.f64 (.f64 x1 (.f64 x2 x2)) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 18 (/.f64 (pow.f64 x1 5) (pow.f64 (fma.f64 x1 x1 1) 2)) (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 24 (/.f64 (.f64 x2 (pow.f64 x1 3)) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 (/.f64 (.f64 x1 x1) (fma.f64 x1 x1 1)) 6 (.f64 8 (.f64 (/.f64 x2 (fma.f64 x1 x1 1)) (.f64 x1 x1))))))))) (fma.f64 22 (/.f64 (pow.f64 x1 3) (fma.f64 x1 x1 1)) (fma.f64 8 (/.f64 (.f64 x2 (.f64 x1 x1)) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 (.f64 x1 x1) 6 (.f64 12 (+.f64 (/.f64 (pow.f64 x1 4) (pow.f64 (fma.f64 x1 x1 1) 2)) (*.f64 (/.f64 x2 (fma.f64 x1 x1 1)) x1))))))) 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)))))
	20.2b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))) (sqrt.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6)))) x1)))))
	0.5b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1)))))) (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))))) (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (*.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))))) x1)))))
	18.4b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (-.f64 (fma.f64 8 (.f64 x1 (.f64 x2 x2)) (.f64 36 (.f64 x2 (pow.f64 x1 3)))) (fma.f64 16 (.f64 x2 (.f64 x2 (pow.f64 x1 3))) (fma.f64 (pow.f64 x1 3) 20 (.f64 x1 (*.f64 x2 12))))) x1)))))
	30.2b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (fma.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))) (sqrt.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))) -3)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6)) x1)))))
	2.5b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4))) (cbrt.f64 (.f64 (.f64 (.f64 (.f64 x1 x1) (.f64 x1 x1)) (.f64 x1 x1)) (.f64 (*.f64 -6 -6) -6)))) x1)))))

Compiler

Compiled 33070 to 20469 computations (38.1% saved)

localize37.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 x1 x1) -6)
	0.3b	(.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))))
✓	2.4b	(+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 x1 x1 1))) (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (sqrt.f64 (fma.f64 x1 x1 1))) -3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
✓	6.8b	(fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 x1 x1 1))) (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (sqrt.f64 (fma.f64 x1 x1 1))) -3)

series347.0ms (0.4%)

Counts

2 → 48

Calls

2 calls:

283.0ms

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

64.0ms

(fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 x1 x1 1))) (/.f64 (-.f64 (fma.f64 x1 (*.f64 x1 3) (*.f64 2 x2)) x1) (sqrt.f64 (fma.f64 x1 x1 1))) -3)

rewrite14.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-log-exp_binary64`
2×	`associate-+l+_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`

Counts

2 → 26

Calls

2 calls:

12.0ms

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

0.0ms

(fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 x1 x1 1))) (/.f64 (-.f64 (fma.f64 x1 (*.f64 x1 3) (*.f64 2 x2)) x1) (sqrt.f64 (fma.f64 x1 x1 1))) -3)

simplify128.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

674×	`fma-neg_binary64`
523×	`cancel-sign-sub-inv_binary64`
290×	`sub-neg_binary64`
276×	`fma-def_binary64`
267×	`times-frac_binary64`

Counts

74 → 92

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	219	4892
1	712	4420
2	2618	4285
3	4562	4265
4	4959	4265

prune856.0ms (1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	167	2	169
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	170	10	180

Error

0.0b

Counts

180 → 10

Alt Table

Status	Error	Program
	23.1b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (.f64 x1 (fma.f64 x1 6 -4)) x1)))))
	21.9b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (/.f64 (-.f64 (.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4)))) (.f64 (.f64 (.f64 x1 x1) -6) (.f64 (.f64 x1 x1) -6))) (-.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6))) x1)))))
	30.2b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (fma.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))) (sqrt.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))) -3)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6)) x1)))))
	1.6b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (fma.f64 x2 (.f64 x1 6) (.f64 (.f64 x1 x1) -3)) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 x1 x1 1))) (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (sqrt.f64 (fma.f64 x1 x1 1))) -3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6)) x1)))))
	9.7b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (-.f64 (fma.f64 8 (/.f64 (.f64 x1 (.f64 x2 x2)) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 18 (/.f64 (pow.f64 x1 5) (pow.f64 (fma.f64 x1 x1 1) 2)) (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 24 (/.f64 (.f64 x2 (pow.f64 x1 3)) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 (/.f64 (.f64 x1 x1) (fma.f64 x1 x1 1)) 6 (.f64 8 (.f64 (/.f64 x2 (fma.f64 x1 x1 1)) (.f64 x1 x1))))))))) (fma.f64 22 (/.f64 (pow.f64 x1 3) (fma.f64 x1 x1 1)) (fma.f64 8 (/.f64 (.f64 x2 (.f64 x1 x1)) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 (.f64 x1 x1) 6 (.f64 12 (+.f64 (/.f64 (pow.f64 x1 4) (pow.f64 (fma.f64 x1 x1 1) 2)) (*.f64 (/.f64 x2 (fma.f64 x1 x1 1)) x1))))))) 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)))))
	20.2b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))) (sqrt.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6)))) x1)))))
	0.5b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1)))))) (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))))) (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (*.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))))) x1)))))
	18.4b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (-.f64 (fma.f64 8 (.f64 x1 (.f64 x2 x2)) (.f64 36 (.f64 x2 (pow.f64 x1 3)))) (fma.f64 16 (.f64 x2 (.f64 x2 (pow.f64 x1 3))) (fma.f64 (pow.f64 x1 3) 20 (.f64 x1 (*.f64 x2 12))))) x1)))))
	2.5b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4))) (cbrt.f64 (.f64 (.f64 (.f64 (.f64 x1 x1) (.f64 x1 x1)) (.f64 x1 x1)) (.f64 (*.f64 -6 -6) -6)))) x1)))))

Compiler

Compiled 21398 to 13263 computations (38% saved)

localize32.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.4b	(+.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)))
✓	2.8b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
✓	5.4b	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))
✓	5.5b	(.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))

series522.0ms (0.6%)

Counts

4 → 96

Calls

4 calls:

304.0ms	(+.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)))
91.0ms	(.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))
70.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
56.0ms	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))

rewrite193.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

250×	`add-sqr-sqrt_binary64`
246×	`*-un-lft-identity_binary64`
201×	`prod-diff_binary64`
178×	`add-cube-cbrt_binary64`
166×	`times-frac_binary64`

Counts

4 → 361

Calls

4 calls:

41.0ms	(+.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)))
18.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
17.0ms	(.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))
14.0ms	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))

simplify442.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

600×	`fma-def_binary64`
294×	`distribute-rgt-in_binary64`
284×	`distribute-lft-in_binary64`
184×	`*-commutative_binary64`
165×	`associate-/l*_binary64`

Counts

457 → 648

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	648	25960
1	1902	20366
2	4879	20366
3	4914	20366

prune3.5s (4.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	647	1	648
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	648	10	658

Error

0.0b

Counts

658 → 10

Alt Table

Status	Error	Program
	30.2b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (fma.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))) (sqrt.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))) -3)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6)) x1)))))
	1.6b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (fma.f64 x2 (.f64 x1 6) (.f64 (.f64 x1 x1) -3)) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 x1 x1 1))) (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (sqrt.f64 (fma.f64 x1 x1 1))) -3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6)) x1)))))
	9.7b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (-.f64 (fma.f64 8 (/.f64 (.f64 x1 (.f64 x2 x2)) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 18 (/.f64 (pow.f64 x1 5) (pow.f64 (fma.f64 x1 x1 1) 2)) (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 24 (/.f64 (.f64 x2 (pow.f64 x1 3)) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 (/.f64 (.f64 x1 x1) (fma.f64 x1 x1 1)) 6 (.f64 8 (.f64 (/.f64 x2 (fma.f64 x1 x1 1)) (.f64 x1 x1))))))))) (fma.f64 22 (/.f64 (pow.f64 x1 3) (fma.f64 x1 x1 1)) (fma.f64 8 (/.f64 (.f64 x2 (.f64 x1 x1)) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 (.f64 x1 x1) 6 (.f64 12 (+.f64 (/.f64 (pow.f64 x1 4) (pow.f64 (fma.f64 x1 x1 1) 2)) (*.f64 (/.f64 x2 (fma.f64 x1 x1 1)) x1))))))) 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)))))
	0.5b	(+.f64 x1 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 (+.f64 (fma.f64 (.f64 x1 x1) (.f64 4 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 x1 (.f64 x1 3))) x1) (fma.f64 x1 x1 1))) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 x1 (.f64 x1 3))) x1) (fma.f64 x1 x1 1)) -3) (.f64 2 (.f64 x1 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 x1 (.f64 x1 3))) x1) (fma.f64 x1 x1 1)))))) (.f64 (.f64 (neg.f64 (sqrt.f64 6)) (sqrt.f64 6)) (.f64 x1 x1))) (+.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)))))
	23.1b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (.f64 x1 (fma.f64 x1 6 -4)) x1)))))
	20.2b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))) (sqrt.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6)))) x1)))))
▶	0.5b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1)))))) (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))))) (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (*.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))))) x1)))))
	18.4b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (-.f64 (fma.f64 8 (.f64 x1 (.f64 x2 x2)) (.f64 36 (.f64 x2 (pow.f64 x1 3)))) (fma.f64 16 (.f64 x2 (.f64 x2 (pow.f64 x1 3))) (fma.f64 (pow.f64 x1 3) 20 (.f64 x1 (*.f64 x2 12))))) x1)))))
	2.5b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4))) (cbrt.f64 (.f64 (.f64 (.f64 (.f64 x1 x1) (.f64 x1 x1)) (.f64 x1 x1)) (.f64 (*.f64 -6 -6) -6)))) x1)))))

Compiler

Compiled 103631 to 64861 computations (37.4% saved)

localize44.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1)))))) (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (*.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1)))))))
✓	2.8b	(+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3)
✓	6.8b	(fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1)))))
✓	10.5b	(cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))))

series54.1s (64.9%)

Counts

4 → 96

Calls

4 calls:

50.7s	(.f64 (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1)))))) (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (*.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1)))))))
3.2s	(cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))))
147.0ms	(fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1)))))
48.0ms	(+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3)

rewrite35.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64`
30×	`*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`
19×	`fma-def_binary64`
19×	`cbrt-prod_binary64`

Counts

4 → 99

Calls

4 calls:

8.0ms	(+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3)
5.0ms	(.f64 (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1)))))) (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (*.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1)))))))
1.0ms	(cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))))
0.0ms	(fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1)))))

simplify870.0ms (1%)

Algorithm

1×	egg-herbie

Counts

195 → 165

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5611	159033

prune6.8s (8.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	370	1	371
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	370	11	381

Error

0.0b

Counts

381 → 11

Alt Table

Status	Error	Program
	30.2b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (fma.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))) (sqrt.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))) -3)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6)) x1)))))
	22.4b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1)))))) (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))))) (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))))))) x1)))))
	1.6b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (fma.f64 x2 (.f64 x1 6) (.f64 (.f64 x1 x1) -3)) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 x1 x1 1))) (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (sqrt.f64 (fma.f64 x1 x1 1))) -3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6)) x1)))))
	9.7b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (-.f64 (fma.f64 8 (/.f64 (.f64 x1 (.f64 x2 x2)) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 18 (/.f64 (pow.f64 x1 5) (pow.f64 (fma.f64 x1 x1 1) 2)) (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 24 (/.f64 (.f64 x2 (pow.f64 x1 3)) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 (/.f64 (.f64 x1 x1) (fma.f64 x1 x1 1)) 6 (.f64 8 (.f64 (/.f64 x2 (fma.f64 x1 x1 1)) (.f64 x1 x1))))))))) (fma.f64 22 (/.f64 (pow.f64 x1 3) (fma.f64 x1 x1 1)) (fma.f64 8 (/.f64 (.f64 x2 (.f64 x1 x1)) (pow.f64 (fma.f64 x1 x1 1) 2)) (fma.f64 (.f64 x1 x1) 6 (.f64 12 (+.f64 (/.f64 (pow.f64 x1 4) (pow.f64 (fma.f64 x1 x1 1) 2)) (*.f64 (/.f64 x2 (fma.f64 x1 x1 1)) x1))))))) 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)))))
	0.5b	(+.f64 x1 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 (+.f64 (fma.f64 (.f64 x1 x1) (.f64 4 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 x1 (.f64 x1 3))) x1) (fma.f64 x1 x1 1))) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 x1 (.f64 x1 3))) x1) (fma.f64 x1 x1 1)) -3) (.f64 2 (.f64 x1 (/.f64 (-.f64 (fma.f64 x2 2 (.f64 x1 (.f64 x1 3))) x1) (fma.f64 x1 x1 1)))))) (.f64 (.f64 (neg.f64 (sqrt.f64 6)) (sqrt.f64 6)) (.f64 x1 x1))) (+.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)))))
	23.1b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (.f64 x1 (fma.f64 x1 6 -4)) x1)))))
	20.2b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))) (sqrt.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6)))) x1)))))
✓	0.5b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1)))))) (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))))) (cbrt.f64 (fma.f64 (.f64 x1 x1) -6 (.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 x1 4) (.f64 (+.f64 (/.f64 (-.f64 (fma.f64 2 x2 (.f64 3 (*.f64 x1 x1))) x1) (fma.f64 x1 x1 1)) -3) (+.f64 x1 x1))))))) x1)))))
	18.4b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (-.f64 (fma.f64 8 (.f64 x1 (.f64 x2 x2)) (.f64 36 (.f64 x2 (pow.f64 x1 3)))) (fma.f64 16 (.f64 x2 (.f64 x2 (pow.f64 x1 3))) (fma.f64 (pow.f64 x1 3) 20 (.f64 x1 (*.f64 x2 12))))) x1)))))
	2.5b	(+.f64 x1 (fma.f64 3 (/.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (fma.f64 2 x2 x1)) (fma.f64 x1 x1 1)) (fma.f64 x1 (.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)))) (.f64 (fma.f64 x1 x1 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)) (.f64 (.f64 x1 x1) 4))) (cbrt.f64 (.f64 (.f64 (.f64 (.f64 x1 x1) (.f64 x1 x1)) (.f64 x1 x1)) (.f64 (*.f64 -6 -6) -6)))) x1)))))

Compiler

Compiled 216734 to 164665 computations (24% saved)

regimes2.8s (3.4%)

Accuracy

Total 0.2b remaining (62.2%)

Threshold costs 0.2b (62.2%)

Counts

272 → 1

Compiler

Compiled 129324 to 81950 computations (36.6% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64`
8×	`+-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	39	150
1	60	150
2	67	150
3	71	150
4	73	150
5	72	150

end661.0ms (0.8%)

Compiler: Compiled 1708 to 1053 computations (38.3% saved)

Details

analyze3.0s (3.6%)

sample7.1s (8.5%)

simplify31.0ms (0%)

prune10.0ms (0%)

localize38.0ms (0%)

series301.0ms (0.4%)

rewrite66.0ms (0.1%)

simplify192.0ms (0.2%)

prune1.2s (1.4%)

localize37.0ms (0%)

series347.0ms (0.4%)

rewrite14.0ms (0%)

simplify128.0ms (0.2%)

prune856.0ms (1%)

localize32.0ms (0%)

series522.0ms (0.6%)

rewrite193.0ms (0.2%)

simplify442.0ms (0.5%)

prune3.5s (4.2%)

localize44.0ms (0.1%)

series54.1s (64.9%)

rewrite35.0ms (0%)

simplify870.0ms (1%)

prune6.8s (8.2%)

regimes2.8s (3.4%)

simplify4.0ms (0%)

end661.0ms (0.8%)

Profiling