Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	24.9%	13
75%	0%	25%	14

sample11.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	290	13
1	290	13

prune1.0ms

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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))
0.1b	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

3.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))
6.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))

series65.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))
43.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))

simplify104.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4947	455
1	4947	455

prune43.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	32	7	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	8	40

Merged error: 0.0b

Counts

40 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
0.1b	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
0.2b	(/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
0.3b	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
19×	`associate-r_binary64` `times-frac_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`pow1_binary64`
9×	`associate-l_binary64`
6×	`cbrt-unprod_binary64` `prod-exp_binary64`
5×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64` `associate-/r/_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `unswap-sqr_binary64` `associate-/l_binary64` `flip--_binary64` `*-commutative_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`associate-*r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 102

Calls

4 calls:

13.0ms	(.f64 x (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
5.0ms	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
7.0ms	(/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
4.0ms	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)

series184.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(.f64 x (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
22.0ms	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
61.0ms	(/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
13.0ms	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)

simplify67.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4971	2079
1	4971	2079

prune124.0ms

Filtered

76 candidates to 114 candidates (-50.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	111	3	114
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	114	8	122

Merged error: 0b

Counts

122 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 (.f64 x 1080863910568919/9007199254740992) (sqrt.f64 1168266793170336129950248828561/81129638414606681695789005144064)))) (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))))
0.1b	(.f64 x (.f64 (*.f64 x 1080863910568919/9007199254740992) (sqrt.f64 1168266793170336129950248828561/81129638414606681695789005144064)))
0.2b	(/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 (.f64 x 1080863910568919/9007199254740992) (sqrt.f64 1168266793170336129950248828561/81129638414606681695789005144064)))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
0.2b	(.f64 (.f64 x 1080863910568919/9007199254740992) (sqrt.f64 1168266793170336129950248828561/81129638414606681695789005144064))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
25×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
23×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
22×	`associate-r_binary64`
20×	`pow1_binary64`
19×	`times-frac_binary64`
11×	`cbrt-unprod_binary64` `prod-exp_binary64`
10×	`pow-prod-down_binary64`
7×	`associate-l_binary64`
4×	`add-log-exp_binary64` `associate-/r/_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `associate-/l_binary64` `flip--_binary64` `sqrt-prod_binary64` `*-commutative_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`associate-*r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 108

Calls

4 calls:

10.0ms	(.f64 x (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 (.f64 x 1080863910568919/9007199254740992) (sqrt.f64 1168266793170336129950248828561/81129638414606681695789005144064)))) (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))))
11.0ms	(.f64 x (.f64 (*.f64 x 1080863910568919/9007199254740992) (sqrt.f64 1168266793170336129950248828561/81129638414606681695789005144064)))
7.0ms	(/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 (.f64 x 1080863910568919/9007199254740992) (sqrt.f64 1168266793170336129950248828561/81129638414606681695789005144064)))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
7.0ms	(.f64 (.f64 x 1080863910568919/9007199254740992) (sqrt.f64 1168266793170336129950248828561/81129638414606681695789005144064))

series184.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(.f64 x (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 (.f64 x 1080863910568919/9007199254740992) (sqrt.f64 1168266793170336129950248828561/81129638414606681695789005144064)))) (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))))
22.0ms	(.f64 x (.f64 (*.f64 x 1080863910568919/9007199254740992) (sqrt.f64 1168266793170336129950248828561/81129638414606681695789005144064)))
61.0ms	(/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 (.f64 x 1080863910568919/9007199254740992) (sqrt.f64 1168266793170336129950248828561/81129638414606681695789005144064)))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
13.0ms	(.f64 (.f64 x 1080863910568919/9007199254740992) (sqrt.f64 1168266793170336129950248828561/81129638414606681695789005144064))

simplify101.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4961	2130
1	4961	2130

prune123.0ms

Filtered

81 candidates to 120 candidates (-48.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	120	8	128

Merged error: 0b

Counts

128 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (/.f64 1 (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))))
0.1b	(.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (/.f64 1 (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
0.1b	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
0.3b	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-exp-log_binary64`
25×	`add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
20×	`associate-r_binary64`
18×	`pow1_binary64`
17×	`*-un-lft-identity_binary64` `prod-exp_binary64`
16×	`add-cube-cbrt_binary64`
12×	`associate-l_binary64`
11×	`cbrt-unprod_binary64` `times-frac_binary64`
8×	`pow-prod-down_binary64` `associate-*r/_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64` `div-exp_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`
2×	`1-exp_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `rec-exp_binary64` `un-div-inv_binary64`
1×	`div-inv_binary64`

Counts

4 → 106

Calls

4 calls:

13.0ms	(.f64 x (.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (/.f64 1 (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))))
14.0ms	(.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (/.f64 1 (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
5.0ms	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
4.0ms	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)

series180.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(.f64 x (.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (/.f64 1 (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))))
62.0ms	(.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (/.f64 1 (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
19.0ms	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
13.0ms	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)

simplify89.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4950	1910
1	4950	1910

prune94.0ms

Filtered

73 candidates to 118 candidates (-61.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	118	8	126

Merged error: 0b

Counts

126 → 8

regimes53.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	65	13
1	65	13

end0.0ms

sample269.0ms

Algorithm

intervals

Results

185.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze4.0ms

sample11.0ms

simplify32.0ms

prune1.0ms

localize6.0ms

rewrite10.0ms

series65.0ms

simplify104.0ms

prune43.0ms

localize11.0ms

rewrite32.0ms

series184.0ms

simplify67.0ms

prune124.0ms

localize13.0ms

rewrite39.0ms

series184.0ms

simplify101.0ms

prune123.0ms

localize12.0ms

rewrite40.0ms

series180.0ms

simplify89.0ms

prune94.0ms

regimes53.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample269.0ms

Profiling