Details

analyze2.8s (15.4%)

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 (32.7%)

Results

2.7s	7258×	body	128	valid
2.1s	5974×	body	128	invalid
468.0ms	320×	body	1024	valid
416.0ms	432×	body	512	valid
159.0ms	246×	body	256	valid

Compiler

Compiled 389 to 242 computations (37.8% saved)

simplify29.0ms (0.2%)

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 (0.1%)

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
▶	0.2b	(+.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) (-.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

▶

0.2b

(+.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) (-.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)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.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)))
✓	0.3b	(.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))))
✓	3.8b	(+.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))
✓	3.8b	(-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)

series432.0ms (2.4%)

Counts

4 → 96

Calls

4 calls:

206.0ms	(+.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))
131.0ms	(.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)))
48.0ms	(-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)
47.0ms	(.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))))

rewrite48.0ms (0.3%)

Algorithm

2×	batch-egg-rewrite

Rules

269×	`log1p-expm1-u_binary64`
269×	`expm1-log1p-u_binary64`
262×	`add-log-exp_binary64`
261×	`add-exp-log_binary64`
259×	`add-cbrt-cube_binary64`

Counts

4 → 78

Calls

4 calls:

45.0ms	(.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)))
45.0ms	(.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))))
45.0ms	(+.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))
45.0ms	(-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	178
1	568	178
2	4939	178
0	0	0
1	0	0

simplify134.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

732×	`cancel-sign-sub-inv_binary64`
612×	`fma-neg_binary64`
439×	`sub-neg_binary64`
358×	`fma-def_binary64`
266×	`times-frac_binary64`

Counts

174 → 168

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	229	5742
1	773	5186
2	2747	5150
3	4873	5142
4	5076	5142

prune540.0ms (2.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	161	7	168
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	162	8	170

Error

0.0b

Counts

170 → 8

Alt Table

Status	Error	Program
	24.9b	(+.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 (fma.f64 x1 (.f64 x1 6) (*.f64 x1 -4)) x1)))))
	38.8b	(+.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 (pow.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) 3) (.f64 (pow.f64 (.f64 x1 x1) 3) -216)) (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) 2) (-.f64 (pow.f64 (.f64 (.f64 x1 x1) -6) 2) (.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6))))) x1)))))
▶	0.2b	(+.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 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) (fma.f64 x1 x1 1)) (.f64 (.f64 x1 x1) -6)) x1)))))
	11.7b	(+.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 (+.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)))))
	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)))))
	17.2b	(+.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 (pow.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) 2) (pow.f64 (.f64 (.f64 x1 x1) -6) 2)) (-.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6))) x1)))))
	53.8b	(+.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 x2 8 (fma.f64 (.f64 x1 x1) 6 (*.f64 12 (/.f64 x2 x1)))) (+.f64 (fma.f64 x1 4 18) (/.f64 12 x1))) 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 (pow.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4)))) 3) (.f64 (.f64 x1 x1) -6)) x1)))))

Compiler

Compiled 18986 to 11815 computations (37.8% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (*.f64 x1 x1) 4)))
	0.3b	(.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))))
✓	3.8b	(+.f64 (/.f64 (.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) (fma.f64 x1 x1 1)) (.f64 (*.f64 x1 x1) -6))
	3.8b	(-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)

series416.0ms (2.3%)

Counts

2 → 48

Calls

2 calls:

210.0ms

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

206.0ms

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

rewrite192.0ms (1%)

Algorithm

2×	batch-egg-rewrite

Rules

248×	`add-sqr-sqrt_binary64`
241×	`log1p-expm1-u_binary64`
241×	`expm1-log1p-u_binary64`
236×	`add-log-exp_binary64`
235×	`add-exp-log_binary64`

Counts

2 → 41

Calls

2 calls:

190.0ms

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

190.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	122
1	512	120
2	4999	120
3	5108	120
0	0	0
1	0	0

simplify154.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

859×	`fma-neg_binary64`
771×	`cancel-sign-sub-inv_binary64`
355×	`fma-def_binary64`
338×	`sub-neg_binary64`
256×	`times-frac_binary64`

Counts

89 → 91

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	189	3818
1	674	3491
2	2524	3419
3	4312	3371
4	5035	3371

prune802.0ms (4.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	163	4	167
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	167	8	175

Error

0.0b

Counts

175 → 8

Alt Table

Status	Error	Program
▶	0.2b	(+.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 (fma.f64 x1 (.f64 x1 -6) (/.f64 (.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (*.f64 x1 x1) 4))) (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)))))
	38.8b	(+.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 (pow.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) 3) (.f64 (pow.f64 (.f64 x1 x1) 3) -216)) (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) 2) (-.f64 (pow.f64 (.f64 (.f64 x1 x1) -6) 2) (.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6))))) x1)))))
	17.8b	(+.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 (sqrt.f64 (/.f64 (.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) (fma.f64 x1 x1 1))) (sqrt.f64 (/.f64 (.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) (fma.f64 x1 x1 1))) (.f64 (*.f64 x1 x1) -6)) x1)))))
	17.2b	(+.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 (pow.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) 2) (pow.f64 (.f64 (.f64 x1 x1) -6) 2)) (-.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6))) x1)))))
	24.9b	(+.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 x1 (fma.f64 x1 6 -4)) x1)))))
	11.7b	(+.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 (/.f64 (-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x1 3) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 18 (/.f64 (pow.f64 x1 5) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 x2 2) x1) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 8 (.f64 x2 (pow.f64 x1 2))) (+.f64 (.f64 6 (pow.f64 x1 2)) (+.f64 (.f64 24 (/.f64 (.f64 x2 (pow.f64 x1 3)) (+.f64 1 (pow.f64 x1 2)))) (.f64 12 (pow.f64 x1 4)))))))) (+.f64 (.f64 12 (.f64 x2 x1)) (+.f64 (.f64 12 (/.f64 (pow.f64 x1 4) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 8 (/.f64 (.f64 x2 (pow.f64 x1 2)) (+.f64 1 (pow.f64 x1 2)))) (.f64 22 (pow.f64 x1 3)))))) (fma.f64 x1 x1 1)) (.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 (pow.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4)))) 3) (.f64 (.f64 x1 x1) -6)) x1)))))

Compiler

Compiled 18710 to 11562 computations (38.2% saved)

localize54.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (*.f64 x1 x1) 4)))
	0.3b	(.f64 3 (.f64 x1 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1))))
	3.8b	(-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3)
✓	11.0b	(fma.f64 x1 (.f64 x1 -6) (/.f64 (.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) (fma.f64 x1 x1 1)))

series304.0ms (1.7%)

Counts

1 → 24

Calls

1 calls:

303.0ms

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

rewrite57.0ms (0.3%)

Algorithm

2×	batch-egg-rewrite

Rules

242×	`add-sqr-sqrt_binary64`
233×	`log1p-expm1-u_binary64`
233×	`expm1-log1p-u_binary64`
230×	`add-log-exp_binary64`
229×	`add-exp-log_binary64`

Counts

1 → 17

Calls

1 calls:

56.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	67
1	501	67
2	4765	67
3	4845	67
0	0	0
1	0	0

simplify96.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

519×	`associate--l+_binary64`
327×	`cancel-sign-sub-inv_binary64`
277×	`associate-r_binary64`
257×	`associate-l_binary64`
201×	`associate-/l*_binary64`

Counts

41 → 43

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	2213
1	411	2011
2	1510	1954
3	4859	1954
4	4993	1954
5	4964	1954

prune902.0ms (4.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	156	1	157
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	157	8	165

Error

0.0b

Counts

165 → 8

Alt Table

Status	Error	Program
✓	0.2b	(+.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 (fma.f64 x1 (.f64 x1 -6) (/.f64 (.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (*.f64 x1 x1) 4))) (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)))))
	38.8b	(+.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 (pow.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) 3) (.f64 (pow.f64 (.f64 x1 x1) 3) -216)) (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) 2) (-.f64 (pow.f64 (.f64 (.f64 x1 x1) -6) 2) (.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6))))) x1)))))
	11.7b	(+.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 (fma.f64 x1 (.f64 x1 -6) (/.f64 (-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x1 3) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 x2 2) x1) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 18 (/.f64 (pow.f64 x1 5) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 8 (.f64 x2 (pow.f64 x1 2))) (+.f64 (.f64 24 (/.f64 (.f64 x2 (pow.f64 x1 3)) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 6 (pow.f64 x1 2)) (.f64 12 (pow.f64 x1 4)))))))) (+.f64 (.f64 12 (.f64 x2 x1)) (+.f64 (.f64 12 (/.f64 (pow.f64 x1 4) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 8 (/.f64 (.f64 x2 (pow.f64 x1 2)) (+.f64 1 (pow.f64 x1 2)))) (.f64 22 (pow.f64 x1 3)))))) (fma.f64 x1 x1 1))) x1)))))
	17.8b	(+.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 (sqrt.f64 (/.f64 (.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) (fma.f64 x1 x1 1))) (sqrt.f64 (/.f64 (.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) (fma.f64 x1 x1 1))) (.f64 (*.f64 x1 x1) -6)) x1)))))
	17.2b	(+.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 (pow.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) 2) (pow.f64 (.f64 (.f64 x1 x1) -6) 2)) (-.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6))) x1)))))
	24.9b	(+.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 x1 (fma.f64 x1 6 -4)) 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 (pow.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4)))) 3) (.f64 (.f64 x1 x1) -6)) x1)))))

Compiler

Compiled 17284 to 10804 computations (37.5% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.7b	(+.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)))
✓	3.8b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
✓	5.0b	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))
✓	5.0b	(.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))

series470.0ms (2.6%)

Counts

4 → 96

Calls

4 calls:

258.0ms	(+.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)))
88.0ms	(.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))
67.0ms	(-.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)))

rewrite61.0ms (0.3%)

Algorithm

2×	batch-egg-rewrite

Rules

278×	`log1p-expm1-u_binary64`
278×	`expm1-log1p-u_binary64`
269×	`add-log-exp_binary64`
268×	`add-exp-log_binary64`
265×	`add-cbrt-cube_binary64`

Counts

4 → 75

Calls

4 calls:

52.0ms	(+.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)))
52.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
52.0ms	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))
52.0ms	(.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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	169
1	586	169
2	5055	169
0	0	0
1	0	0

simplify94.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

723×	`cancel-sign-sub-inv_binary64`
416×	`fma-neg_binary64`
411×	`sub-neg_binary64`
346×	`fma-def_binary64`
292×	`times-frac_binary64`

Counts

171 → 164

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	238	4674
1	818	4245
2	2881	4217
3	5071	4217

prune705.0ms (3.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	164	8	172

Error

0.0b

Counts

172 → 8

Alt Table

Status	Error	Program
✓	0.2b	(+.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 (fma.f64 x1 (.f64 x1 -6) (/.f64 (.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (*.f64 x1 x1) 4))) (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)))))
	38.8b	(+.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 (pow.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) 3) (.f64 (pow.f64 (.f64 x1 x1) 3) -216)) (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) 2) (-.f64 (pow.f64 (.f64 (.f64 x1 x1) -6) 2) (.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6))))) x1)))))
	11.7b	(+.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 (fma.f64 x1 (.f64 x1 -6) (/.f64 (-.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x1 3) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 x2 2) x1) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 18 (/.f64 (pow.f64 x1 5) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 8 (.f64 x2 (pow.f64 x1 2))) (+.f64 (.f64 24 (/.f64 (.f64 x2 (pow.f64 x1 3)) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 6 (pow.f64 x1 2)) (.f64 12 (pow.f64 x1 4)))))))) (+.f64 (.f64 12 (.f64 x2 x1)) (+.f64 (.f64 12 (/.f64 (pow.f64 x1 4) (+.f64 1 (pow.f64 x1 2)))) (+.f64 (.f64 8 (/.f64 (.f64 x2 (pow.f64 x1 2)) (+.f64 1 (pow.f64 x1 2)))) (.f64 22 (pow.f64 x1 3)))))) (fma.f64 x1 x1 1))) x1)))))
	17.8b	(+.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 (sqrt.f64 (/.f64 (.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) (fma.f64 x1 x1 1))) (sqrt.f64 (/.f64 (.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) (fma.f64 x1 x1 1))) (.f64 (*.f64 x1 x1) -6)) x1)))))
	17.2b	(+.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 (pow.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) 2) (pow.f64 (.f64 (.f64 x1 x1) -6) 2)) (-.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6))) x1)))))
	24.9b	(+.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 x1 (fma.f64 x1 6 -4)) 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 (pow.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) (fma.f64 (-.f64 (/.f64 (-.f64 (fma.f64 x1 (.f64 x1 3) (.f64 2 x2)) x1) (fma.f64 x1 x1 1)) 3) (+.f64 x1 x1) (.f64 (.f64 x1 x1) 4)))) 3) (.f64 (.f64 x1 x1) -6)) x1)))))

Compiler

Compiled 22009 to 13560 computations (38.4% saved)

regimes3.4s (18.7%)

Accuracy

Total 0.2b remaining (64.8%)

Threshold costs 0.2b (64.8%)

Counts

337 → 1

Compiler

Compiled 143647 to 91383 computations (36.4% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
9×	`+-commutative_binary64`
6×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	132
1	62	132
2	71	132
3	75	132
4	77	132
5	75	132

end473.0ms (2.6%)

Compiler: Compiled 1230 to 786 computations (36.1% saved)

Details

analyze2.8s (15.4%)

sample6.0s (32.7%)

simplify29.0ms (0.2%)

prune10.0ms (0.1%)

localize36.0ms (0.2%)

series432.0ms (2.4%)

rewrite48.0ms (0.3%)

simplify134.0ms (0.7%)

prune540.0ms (2.9%)

localize36.0ms (0.2%)

series416.0ms (2.3%)

rewrite192.0ms (1%)

simplify154.0ms (0.8%)

prune802.0ms (4.4%)

localize54.0ms (0.3%)

series304.0ms (1.7%)

rewrite57.0ms (0.3%)

simplify96.0ms (0.5%)

prune902.0ms (4.9%)

localize33.0ms (0.2%)

series470.0ms (2.6%)

rewrite61.0ms (0.3%)

simplify94.0ms (0.5%)

prune705.0ms (3.8%)

regimes3.4s (18.7%)

simplify4.0ms (0%)

end473.0ms (2.6%)

Profiling