Details

analyze5.0ms

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

sample18.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify22.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	288	9
1	288	9

prune2.0ms

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

localize9.0ms

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)))

rewrite17.0ms

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:

5.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))
10.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))

series18.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))
11.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))

simplify65.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4859	309
1	4859	309

prune34.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	34	5	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	6	40

Merged error: 0.0b

Counts

40 → 6

localize10.0ms

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

rewrite30.0ms

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:

10.0ms	(.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)

series32.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(.f64 x (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
3.0ms	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
10.0ms	(/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
4.0ms	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)

simplify57.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4892	1390
1	4892	1390

prune82.0ms

Filtered

76 candidates to 114 candidates (-50.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	113	7	120

Merged error: 0.0b

Counts

120 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))) (cbrt.f64 (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))) (cbrt.f64 (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
0.8b	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
0.8b	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
0.8b	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div_binary64`
32×	`associate-*r/_binary64`
30×	`flip3-+_binary64` `flip-+_binary64`
28×	`frac-times_binary64`
14×	`associate-*l/_binary64`
13×	`pow1_binary64` `add-exp-log_binary64`
12×	`cbrt-prod_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
8×	`add-cbrt-cube_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
1×	`associate-l_binary64` `*-commutative_binary64`

Counts

4 → 89

Calls

4 calls:

17.0ms	(.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))) (cbrt.f64 (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))) (cbrt.f64 (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
3.0ms	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
3.0ms	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
3.0ms	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

series31.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))) (cbrt.f64 (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))) (cbrt.f64 (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
7.0ms	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
7.0ms	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
9.0ms	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

simplify63.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5055	1712

prune100.0ms

Filtered

71 candidates to 101 candidates (-42.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	101	7	108

Merged error: 0.0b

Counts

108 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
0.3b	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)
0.4b	(.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))))
6.8b	(.f64 (.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))) (/.f64 1 (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-exp-log_binary64`
25×	`add-cbrt-cube_binary64`
22×	`associate-r_binary64`
20×	`add-sqr-sqrt_binary64`
18×	`pow1_binary64`
17×	`prod-exp_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`cbrt-unprod_binary64`
10×	`associate-l_binary64`
9×	`times-frac_binary64`
8×	`pow-prod-down_binary64`
7×	`associate-*r/_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `div-exp_binary64` `flip--_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `rec-exp_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `un-div-inv_binary64` `div-inv_binary64`

Counts

4 → 102

Calls

4 calls:

6.0ms	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
6.0ms	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)
6.0ms	(.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))))
14.0ms	(.f64 (.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))) (/.f64 1 (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))))

series31.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
2.0ms	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)
10.0ms	(.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))))
15.0ms	(.f64 (.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))) (/.f64 1 (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))))

simplify46.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5010	1172

prune63.0ms

Filtered

65 candidates to 114 candidates (-75.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	114	7	121

Merged error: 0.0b

Counts

121 → 7

regimes73.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	9
1	63	9

end0.0ms

sample298.0ms

Algorithm

intervals

Results

198.0ms	8000×	body	80	valid
0.0ms	2×	body	80	invalid

Details

analyze5.0ms

sample18.0ms

simplify22.0ms

prune2.0ms

localize9.0ms

rewrite17.0ms

series18.0ms

simplify65.0ms

prune34.0ms

localize10.0ms

rewrite30.0ms

series32.0ms

simplify57.0ms

prune82.0ms

localize9.0ms

rewrite30.0ms

series31.0ms

simplify63.0ms

prune100.0ms

localize11.0ms

rewrite36.0ms

series31.0ms

simplify46.0ms

prune63.0ms

regimes73.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample298.0ms

Profiling