Details

analyze2.1s

Algorithm

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

sample128.0ms

Algorithm

intervals

Results

52.0ms	226×	body	128	valid
34.0ms	155×	body	128	invalid
14.0ms	15×	body	1024	valid
8.0ms	12×	body	512	valid
2.0ms	3×	body	256	valid

simplify219.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5170	157

prune15.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.5b

Counts

2 → 2

localize48.0ms

Local error

Found 4 expressions with local error:

2.2b	(+.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)))
3.9b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
6.2b	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))
6.3b	(.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))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
26×	`add-sqr-sqrt_binary64`
24×	`associate-r_binary64`
23×	`associate-*r/_binary64`
22×	`*-un-lft-identity_binary64`
18×	`pow1_binary64`
16×	`times-frac_binary64`
15×	`cbrt-unprod_binary64` `prod-exp_binary64`
14×	`add-cube-cbrt_binary64`
11×	`flip3--_binary64` `flip--_binary64`
10×	`frac-add_binary64`
9×	`pow-prod-down_binary64`
8×	`add-log-exp_binary64`
7×	`sub-neg_binary64`
5×	`difference-of-squares_binary64`
4×	`distribute-lft-out--_binary64` `frac-times_binary64`
3×	`cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-exp_binary64`
2×	`flip3-+_binary64` `associate-+l+_binary64` `associate-/r/_binary64` `associate-l_binary64` `flip-+_binary64` `associate-+r+_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`associate--l-_binary64` `diff-log_binary64` `unswap-sqr_binary64` `div-sub_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 109

Calls

4 calls:

50.0ms	(+.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)))
22.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
22.0ms	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))
24.0ms	(.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))

series725.0ms

Counts

4 → 12

Calls

4 calls:

452.0ms	(+.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 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
67.0ms	(.f64 (.f64 (.f64 3 x1) x1) (/.f64 (-.f64 (+.f64 (.f64 (.f64 3 x1) x1) (.f64 2 x2)) x1) (+.f64 (*.f64 x1 x1) 1)))
118.0ms	(.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))

simplify106.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4982	8745
1	4982	8745

prune800.0ms

Filtered

90 candidates to 121 candidates (-34.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	114	7	121
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	115	8	123

Merged error: 0.3b

Counts

123 → 8

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (.f64 3 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))) (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6)) x1)))
0.2b	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4)))
2.3b	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
3.9b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

48×	`associate-*r/_binary64`
32×	`frac-add_binary64`
31×	`flip3-+_binary64` `flip-+_binary64`
30×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
21×	`associate-l_binary64`
17×	`times-frac_binary64`
14×	`add-cube-cbrt_binary64` `frac-times_binary64`
10×	`add-log-exp_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-*l/_binary64`
6×	`pow1_binary64`
5×	`difference-of-squares_binary64`
4×	`associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `distribute-lft-out--_binary64`
3×	`associate-r_binary64`
2×	`cbrt-unprod_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `associate-+r+_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `associate--l-_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 113

Calls

4 calls:

73.0ms	(+.f64 (.f64 3 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))) (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6)) x1)))
46.0ms	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4)))
46.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
22.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

series1.5s

Counts

4 → 12

Calls

4 calls:

750.0ms	(+.f64 (.f64 3 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))) (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6)) x1)))
218.0ms	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4)))
428.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
96.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

simplify181.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5280	23741

prune1.4s

Filtered

108 candidates to 125 candidates (-15.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	114	11	125
Fresh	6	1	7
Picked	1	0	1
Done	0	0	0
Total	121	12	133

Merged error: 0.0b

Counts

133 → 12

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) (+.f64 x1 x1)) (.f64 (.f64 x1 x1) 4)) (+.f64 (.f64 x1 x1) 1)))
0.2b	(+.f64 (.f64 3 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))) (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) (+.f64 x1 x1)) (.f64 (.f64 x1 x1) 4)) (+.f64 (.f64 x1 x1) 1))) (.f64 (*.f64 x1 x1) -6)) x1)))
2.3b	(+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) (+.f64 x1 x1)) (.f64 (.f64 x1 x1) 4)) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 x1 x1) -6))
3.9b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

47×	`associate-*r/_binary64`
32×	`frac-add_binary64`
29×	`flip3-+_binary64` `flip-+_binary64`
24×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
15×	`associate-r_binary64`
14×	`frac-times_binary64`
12×	`add-cube-cbrt_binary64`
11×	`times-frac_binary64`
10×	`add-log-exp_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-*l/_binary64`
6×	`pow1_binary64`
5×	`associate-l_binary64`
3×	`flip3--_binary64` `difference-of-squares_binary64` `flip--_binary64`
2×	`cbrt-unprod_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `associate-+r+_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `associate--l-_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

4 → 105

Calls

4 calls:

50.0ms	(.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) (+.f64 x1 x1)) (.f64 (.f64 x1 x1) 4)) (+.f64 (.f64 x1 x1) 1)))
71.0ms	(+.f64 (.f64 3 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))) (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) (+.f64 x1 x1)) (.f64 (.f64 x1 x1) 4)) (+.f64 (.f64 x1 x1) 1))) (.f64 (*.f64 x1 x1) -6)) x1)))
47.0ms	(+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) (+.f64 x1 x1)) (.f64 (.f64 x1 x1) 4)) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 x1 x1) -6))
22.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

series1.4s

Counts

4 → 12

Calls

4 calls:

211.0ms	(.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) (+.f64 x1 x1)) (.f64 (.f64 x1 x1) 4)) (+.f64 (.f64 x1 x1) 1)))
736.0ms	(+.f64 (.f64 3 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))) (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) (+.f64 x1 x1)) (.f64 (.f64 x1 x1) 4)) (+.f64 (.f64 x1 x1) 1))) (.f64 (*.f64 x1 x1) -6)) x1)))
406.0ms	(+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) (+.f64 x1 x1)) (.f64 (.f64 x1 x1) 4)) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 x1 x1) -6))
94.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

simplify170.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5211	23109

prune1.2s

Filtered

98 candidates to 117 candidates (-19.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	117	12	129

Merged error: 0.0b

Counts

129 → 12

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (.f64 3 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))) (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (sqrt.f64 (+.f64 (.f64 x1 x1) 1))) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) (+.f64 x1 x1)) (.f64 (.f64 x1 x1) 4)) (sqrt.f64 (+.f64 (.f64 x1 x1) 1)))) (.f64 (.f64 x1 x1) -6)) x1)))
0.2b	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (sqrt.f64 (+.f64 (.f64 x1 x1) 1))) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) (+.f64 x1 x1)) (.f64 (.f64 x1 x1) 4)) (sqrt.f64 (+.f64 (*.f64 x1 x1) 1))))
2.3b	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (sqrt.f64 (+.f64 (.f64 x1 x1) 1))) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) (+.f64 x1 x1)) (.f64 (.f64 x1 x1) 4)) (sqrt.f64 (+.f64 (.f64 x1 x1) 1)))) (.f64 (*.f64 x1 x1) -6))
3.9b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

rewrite308.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt_binary64`
61×	`times-frac_binary64`
48×	`*-un-lft-identity_binary64`
47×	`associate-*r/_binary64`
36×	`associate-l_binary64`
34×	`add-cube-cbrt_binary64`
32×	`frac-add_binary64`
30×	`flip3-+_binary64` `sqrt-prod_binary64` `flip-+_binary64`
24×	`associate-r_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`frac-times_binary64`
10×	`add-log-exp_binary64`
9×	`unswap-sqr_binary64`
8×	`difference-of-squares_binary64`
7×	`distribute-lft-out--_binary64` `associate-*l/_binary64`
6×	`pow1_binary64`
4×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64` `sqrt-div_binary64`
2×	`associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-inv_binary64` `+-commutative_binary64` `associate-+r+_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `associate--l-_binary64` `diff-log_binary64` `div-sub_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 154

Calls

4 calls:

83.0ms	(+.f64 (.f64 3 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))) (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (sqrt.f64 (+.f64 (.f64 x1 x1) 1))) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) (+.f64 x1 x1)) (.f64 (.f64 x1 x1) 4)) (sqrt.f64 (+.f64 (.f64 x1 x1) 1)))) (.f64 (.f64 x1 x1) -6)) x1)))
66.0ms	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (sqrt.f64 (+.f64 (.f64 x1 x1) 1))) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) (+.f64 x1 x1)) (.f64 (.f64 x1 x1) 4)) (sqrt.f64 (+.f64 (*.f64 x1 x1) 1))))
58.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (sqrt.f64 (+.f64 (.f64 x1 x1) 1))) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) (+.f64 x1 x1)) (.f64 (.f64 x1 x1) 4)) (sqrt.f64 (+.f64 (.f64 x1 x1) 1)))) (.f64 (*.f64 x1 x1) -6))
22.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

series1.5s

Counts

4 → 12

Calls

4 calls:

754.0ms	(+.f64 (.f64 3 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))) (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (sqrt.f64 (+.f64 (.f64 x1 x1) 1))) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) (+.f64 x1 x1)) (.f64 (.f64 x1 x1) 4)) (sqrt.f64 (+.f64 (.f64 x1 x1) 1)))) (.f64 (.f64 x1 x1) -6)) x1)))
228.0ms	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (sqrt.f64 (+.f64 (.f64 x1 x1) 1))) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) (+.f64 x1 x1)) (.f64 (.f64 x1 x1) 4)) (sqrt.f64 (+.f64 (*.f64 x1 x1) 1))))
417.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (sqrt.f64 (+.f64 (.f64 x1 x1) 1))) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) (+.f64 x1 x1)) (.f64 (.f64 x1 x1) 4)) (sqrt.f64 (+.f64 (.f64 x1 x1) 1)))) (.f64 (*.f64 x1 x1) -6))
98.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

simplify215.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5195	30071

prune1.7s

Filtered

122 candidates to 166 candidates (-36.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	166	12	178

Merged error: 0.0b

Counts

178 → 12

regimes344.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	99	157
1	99	157

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.5s	7032×	body	128	valid
1.2s	5724×	body	128	invalid
275.0ms	320×	body	1024	valid
243.0ms	389×	body	512	valid
107.0ms	259×	body	256	valid

Details

analyze2.1s

sample128.0ms

simplify219.0ms

prune15.0ms

localize48.0ms

rewrite160.0ms

series725.0ms

simplify106.0ms

prune800.0ms

localize38.0ms

rewrite245.0ms

series1.5s

simplify181.0ms

prune1.4s

localize38.0ms

rewrite239.0ms

series1.4s

simplify170.0ms

prune1.2s

localize42.0ms

rewrite308.0ms

series1.5s

simplify215.0ms

prune1.7s

regimes344.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample3.5s

Profiling