Details

analyze3.0ms

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

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

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

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b

(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

0.0b

(-.f64 1 (*.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))))

0.1b

(*.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_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` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 46

Calls

3 calls:

3.0ms

(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

3.0ms

(-.f64 1 (*.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))))

6.0ms

(*.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

series13.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms

(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

3.0ms

(-.f64 1 (*.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))))

6.0ms

(*.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

simplify43.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4964	501
1	4964	501

prune59.0ms

Filtered

38 candidates to 55 candidates (-44.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	4	56

Merged error: 0.0b

Counts

56 → 4

localize12.0ms

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)))

series27.0ms

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

simplify63.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5055	1712

prune133.0ms

Filtered

71 candidates to 101 candidates (-42.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	101	4	105

Merged error: 0.0b

Counts

105 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
0.3b	(.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))))
0.3b	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)
5.5b	(/.f64 (.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`pow1_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`associate-l_binary64`
7×	`associate-r_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` `times-frac_binary64` `flip--_binary64` `-commutative_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `div-exp_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 83

Calls

4 calls:

5.0ms	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
6.0ms	(.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))))
4.0ms	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)
8.0ms	(/.f64 (.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))

series30.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
9.0ms	(.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))))
2.0ms	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)
15.0ms	(/.f64 (.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))

simplify59.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4876	852
1	4876	852

prune90.0ms

Filtered

60 candidates to 95 candidates (-58.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	94	5	99

Merged error: 0.0b

Counts

99 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (+.f64 (/.f64 2278821411449471/9007199254740992 x) -1080863910568919/9007199254740992))) (cbrt.f64 (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (+.f64 (/.f64 2278821411449471/9007199254740992 x) -1080863910568919/9007199254740992))))
0.6b	(cbrt.f64 (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (+.f64 (/.f64 2278821411449471/9007199254740992 x) -1080863910568919/9007199254740992)))
0.6b	(cbrt.f64 (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (+.f64 (/.f64 2278821411449471/9007199254740992 x) -1080863910568919/9007199254740992)))
0.6b	(cbrt.f64 (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (+.f64 (/.f64 2278821411449471/9007199254740992 x) -1080863910568919/9007199254740992)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

150×	`cbrt-prod_binary64`
128×	`*-un-lft-identity_binary64`
102×	`times-frac_binary64`
92×	`add-sqr-sqrt_binary64`
68×	`add-cube-cbrt_binary64`
27×	`swap-sqr_binary64` `distribute-lft-out_binary64`
21×	`associate-r_binary64` `associate-l_binary64`
14×	`associate-/r/_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `unswap-sqr_binary64`
7×	`cbrt-div_binary64` `flip3-+_binary64` `div-inv_binary64` `flip-+_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `associate-r/_binary64` `pow-plus_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 180

Calls

4 calls:

33.0ms	(.f64 (cbrt.f64 (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (+.f64 (/.f64 2278821411449471/9007199254740992 x) -1080863910568919/9007199254740992))) (cbrt.f64 (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (+.f64 (/.f64 2278821411449471/9007199254740992 x) -1080863910568919/9007199254740992))))
9.0ms	(cbrt.f64 (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (+.f64 (/.f64 2278821411449471/9007199254740992 x) -1080863910568919/9007199254740992)))
9.0ms	(cbrt.f64 (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (+.f64 (/.f64 2278821411449471/9007199254740992 x) -1080863910568919/9007199254740992)))
10.0ms	(cbrt.f64 (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (+.f64 (/.f64 2278821411449471/9007199254740992 x) -1080863910568919/9007199254740992)))

series48.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(.f64 (cbrt.f64 (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (+.f64 (/.f64 2278821411449471/9007199254740992 x) -1080863910568919/9007199254740992))) (cbrt.f64 (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (+.f64 (/.f64 2278821411449471/9007199254740992 x) -1080863910568919/9007199254740992))))
11.0ms	(cbrt.f64 (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (+.f64 (/.f64 2278821411449471/9007199254740992 x) -1080863910568919/9007199254740992)))
11.0ms	(cbrt.f64 (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (+.f64 (/.f64 2278821411449471/9007199254740992 x) -1080863910568919/9007199254740992)))
11.0ms	(cbrt.f64 (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (+.f64 (/.f64 2278821411449471/9007199254740992 x) -1080863910568919/9007199254740992)))

simplify126.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5096	5389

prune551.0ms

Filtered

143 candidates to 192 candidates (-34.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	192	0	192
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	192	5	197

Merged error: 0.0b

Counts

197 → 5

regimes100.0ms

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

sample279.0ms

Algorithm

intervals

Results

193.0ms

8000×

body

valid

Details

analyze3.0ms

sample11.0ms

simplify15.0ms

prune2.0ms

localize6.0ms

rewrite13.0ms

series13.0ms

simplify43.0ms

prune59.0ms

localize12.0ms

rewrite30.0ms

series27.0ms

simplify63.0ms

prune133.0ms

localize11.0ms

rewrite26.0ms

series30.0ms

simplify59.0ms

prune90.0ms

localize16.0ms

rewrite72.0ms

series48.0ms

simplify126.0ms

prune551.0ms

regimes100.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample279.0ms

Profiling