Details

analyze351.0ms

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
0%	99.9%	0.1%	5
21.8%	78%	0.1%	6
26.5%	73.3%	0.1%	7
32%	67.9%	0.1%	8
46.4%	52.7%	0.9%	9
50.9%	47.2%	1.9%	10
54.3%	43.3%	2.4%	11
62.1%	32.5%	5.4%	12
64.3%	28.1%	7.6%	13
66.3%	24.6%	9.2%	14

sample29.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
1.0ms	33×	body	80	invalid

simplify186.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	738	15
1	738	15

prune27.0ms

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: 0.0b

Counts

2 → 2

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x 4) y)
0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
2.6b	(*.f64 (/.f64 x y) z)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64_1216`
25×	`add-sqr-sqrt_binary64_1201`
22×	`times-frac_binary64_1211`
20×	`add-cube-cbrt_binary64_1187`
13×	`associate-l_binary64_1276`
10×	`add-cbrt-cube_binary64_1188` `add-exp-log_binary64_1180`
5×	`pow1_binary64_1162` `add-log-exp_binary64_1181`
4×	`distribute-lft-out_binary64_1260` `associate-/l*_binary64_1280`
3×	`associate-l/_binary64_1278` `associate-r_binary64_1275` `associate-/r_binary64_1279`
2×	`div-exp_binary64_1169` `cbrt-unprod_binary64_1185` `div-inv_binary64_1217` `unswap-sqr_binary64_1244` `cbrt-undiv_binary64_1186` `prod-exp_binary64_1167` `associate-/l/_binary64_1282`
1×	`flip3--_binary64_1215` `pow-prod-down_binary64_1143` `frac-sub_binary64_1207` `flip-+_binary64_1241` `clear-num_binary64_1219` `flip3-+_binary64_1214` `diff-log_binary64_1132` `sub-neg_binary64_1220` `*-commutative_binary64_1284` `frac-2neg_binary64_1209` `sub-div_binary64_1205` `flip--_binary64_1242`

Counts

3 → 78

Calls

3 calls:

6.0ms	(/.f64 (+.f64 x 4) y)
10.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
7.0ms	(*.f64 (/.f64 x y) z)

series81.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/.f64 (+.f64 x 4) y)
38.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
23.0ms	(*.f64 (/.f64 x y) z)

simplify81.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5001	1159

prune331.0ms

Filtered

64 candidates to 87 candidates (-35.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	82	5	87
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	82	7	89

Merged error: 0.0b

Counts

89 → 7

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1183`
8×	`*-un-lft-identity_binary64_1216` `add-sqr-sqrt_binary64_1201` `add-cube-cbrt_binary64_1187`
4×	`add-cbrt-cube_binary64_1188` `pow1_binary64_1162` `add-exp-log_binary64_1180` `pow1/3_binary64_1154` `add-log-exp_binary64_1181`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series403.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(cbrt.f64 x)
85.0ms	(cbrt.f64 y)
89.0ms	(cbrt.f64 y)
87.0ms	(cbrt.f64 y)

simplify84.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5300	340

prune250.0ms

Filtered

48 candidates to 56 candidates (-16.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	56	7	63

Merged error: 0.0b

Counts

63 → 7

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x 4) y)
0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
6.0b	(*.f64 x (/.f64 z y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64_1216`
25×	`add-sqr-sqrt_binary64_1201`
22×	`times-frac_binary64_1211`
20×	`add-cube-cbrt_binary64_1187`
13×	`associate-r_binary64_1275`
10×	`add-cbrt-cube_binary64_1188` `add-exp-log_binary64_1180`
5×	`pow1_binary64_1162` `add-log-exp_binary64_1181`
4×	`distribute-lft-out_binary64_1260` `associate-/l*_binary64_1280`
3×	`associate-l_binary64_1276` `associate-r/_binary64_1277` `associate-/r_binary64_1279`
2×	`div-exp_binary64_1169` `cbrt-unprod_binary64_1185` `div-inv_binary64_1217` `unswap-sqr_binary64_1244` `cbrt-undiv_binary64_1186` `prod-exp_binary64_1167` `associate-/l/_binary64_1282`
1×	`flip3--_binary64_1215` `pow-prod-down_binary64_1143` `frac-sub_binary64_1207` `flip-+_binary64_1241` `clear-num_binary64_1219` `flip3-+_binary64_1214` `diff-log_binary64_1132` `sub-neg_binary64_1220` `*-commutative_binary64_1284` `frac-2neg_binary64_1209` `sub-div_binary64_1205` `flip--_binary64_1242`

Counts

3 → 78

Calls

3 calls:

5.0ms	(/.f64 (+.f64 x 4) y)
10.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
7.0ms	(*.f64 x (/.f64 z y))

series70.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(/.f64 (+.f64 x 4) y)
33.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
20.0ms	(*.f64 x (/.f64 z y))

simplify59.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5308	1168

prune302.0ms

Filtered

60 candidates to 87 candidates (-45.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	1	3	4
Picked	0	1	1
Done	1	1	2
Total	87	7	94

Merged error: 0b

Counts

94 → 7

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (+.f64 x 4) (*.f64 x z))
3.6b	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_1216` `add-sqr-sqrt_binary64_1201` `add-cube-cbrt_binary64_1187`
9×	`times-frac_binary64_1211`
7×	`add-log-exp_binary64_1181`
4×	`add-cbrt-cube_binary64_1188` `add-exp-log_binary64_1180`
3×	`associate-/r_binary64_1279` `associate-/l_binary64_1280`
2×	`flip3--_binary64_1215` `pow1_binary64_1162` `diff-log_binary64_1132` `associate-/l/_binary64_1282` `flip--_binary64_1242`
1×	`sum-log_binary64_1131` `div-exp_binary64_1169` `div-inv_binary64_1217` `clear-num_binary64_1219` `cbrt-undiv_binary64_1186` `sub-neg_binary64_1220` `frac-2neg_binary64_1209` `associate--l+_binary64_1272` `div-sub_binary64_1210`

Counts

2 → 43

Calls

2 calls:

6.0ms	(-.f64 (+.f64 x 4) (*.f64 x z))
8.0ms	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

series55.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(-.f64 (+.f64 x 4) (*.f64 x z))
39.0ms	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

simplify68.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5214	932

prune174.0ms

Filtered

37 candidates to 49 candidates (-32.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	1	3	4
Picked	0	1	1
Done	1	1	2
Total	50	6	56

Merged error: 0b

Counts

56 → 6

regimes302.0ms

Accuracy

80.8% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.5b

bsearch48.0ms

Steps

Iters	Range	Point
6	3876244930786029/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408	8085993637715287/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352	1.9976429913566016e-69
9	-21593693105620114112486397333152797486286636118859360650623772890800630587635259388778000062951670364140890157851685615527212600830984192	-146092988523316998949347476952793546595209839822269606226944186335255602255020062653507448675453542407188961970913275594096919969792	-3.1242606810193704e+132

Iters

Range

Point

3876244930786029/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408

8085993637715287/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352

1.9976429913566016e-69

-21593693105620114112486397333152797486286636118859360650623772890800630587635259388778000062951670364140890157851685615527212600830984192

-146092988523316998949347476952793546595209839822269606226944186335255602255020062653507448675453542407188961970913275594096919969792

-3.1242606810193704e+132

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	73	47
1	73	47

end0.0ms

sample621.0ms

Algorithm

intervals

Results

321.0ms	8000×	body	80	valid
46.0ms	1235×	body	80	invalid

Details

analyze351.0ms

sample29.0ms

simplify186.0ms

prune27.0ms

localize14.0ms

rewrite24.0ms

series81.0ms

simplify81.0ms

prune331.0ms

localize33.0ms

rewrite5.0ms

series403.0ms

simplify84.0ms

prune250.0ms

localize19.0ms

rewrite25.0ms

series70.0ms

simplify59.0ms

prune302.0ms

localize11.0ms

rewrite15.0ms

series55.0ms

simplify68.0ms

prune174.0ms

regimes302.0ms

bsearch48.0ms

simplify3.0ms

end0.0ms

sample621.0ms

Profiling