Details

analyze2.4s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
12.5%	87.3%	0.2%	9
12.5%	87.3%	0.2%	10
18.7%	81.1%	0.2%	11
18.7%	81.1%	0.2%	12
18.7%	81.1%	0.2%	13
20.5%	79.3%	0.2%	14

sample56.0ms

Algorithm

intervals

Results

27.0ms	249×	body	80	valid
2.0ms	4×	body	640	valid
2.0ms	2×	body	1280	valid
1.0ms	9×	body	80	invalid
1.0ms	3×	body	320	invalid
1.0ms	1×	body	1280	invalid
1.0ms	1×	body	640	invalid
0.0ms	2×	body	160	invalid
0.0ms	1×	body	320	valid

simplify198.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5472	43

prune14.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 13.1b

Counts

2 → 1

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))
0.0b	(*.f64 K (+.f64 m n))
0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
35.4b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64_1216` `add-sqr-sqrt_binary64_1201`
9×	`add-log-exp_binary64_1181`
8×	`add-cube-cbrt_binary64_1187`
7×	`pow1_binary64_1162` `add-exp-log_binary64_1180`
6×	`unpow-prod-down_binary64_1151` `add-cbrt-cube_binary64_1188`
4×	`associate-r_binary64_1275`
3×	`distribute-lft-out--_binary64_1261` `associate-l_binary64_1276` `pow-unpow_binary64_1149` `difference-of-squares_binary64_1245`
2×	`associate-*r/_binary64_1277` `diff-log_binary64_1132` `distribute-lft-out_binary64_1260` `sub-neg_binary64_1220`
1×	`flip3--_binary64_1215` `sum-log_binary64_1131` `pow-exp_binary64_1140` `cbrt-unprod_binary64_1185` `pow-prod-down_binary64_1143` `pow-to-exp_binary64_1141` `flip-+_binary64_1241` `flip3-+_binary64_1214` `unswap-sqr_binary64_1244` `prod-exp_binary64_1167` `*-commutative_binary64_1284` `pow-pow_binary64_1144` `unpow2_binary64_1159` `cos-diff_binary64_1069` `distribute-lft-in_binary64_1258` `associate--r+_binary64_1271` `cos-sum_binary64_1066` `sqr-pow_binary64_1248` `flip--_binary64_1242` `distribute-rgt-in_binary64_1259` `times-frac_binary64_1211`

Counts

4 → 69

Calls

4 calls:

16.0ms	(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))
6.0ms	(*.f64 K (+.f64 m n))
14.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
10.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

series299.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))
27.0ms	(*.f64 K (+.f64 m n))
58.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
76.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

simplify83.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4961	1490
1	4961	1490

prune224.0ms

Filtered

55 candidates to 81 candidates (-47.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	76	5	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	5	82

Merged error: 1.4b

Counts

82 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
0.0b	(-.f64 (/.f64 (+.f64 m n) 2) M)
0.0b	(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))
0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_1201`
17×	`*-un-lft-identity_binary64_1216`
13×	`add-log-exp_binary64_1181`
6×	`unpow-prod-down_binary64_1151` `add-cube-cbrt_binary64_1187`
5×	`pow1_binary64_1162` `add-exp-log_binary64_1180` `difference-of-squares_binary64_1245`
4×	`distribute-lft-out--_binary64_1261` `add-cbrt-cube_binary64_1188`
3×	`pow-unpow_binary64_1149` `diff-log_binary64_1132`
2×	`flip3--_binary64_1215` `sum-log_binary64_1131` `distribute-lft-out_binary64_1260` `sub-neg_binary64_1220` `flip--_binary64_1242` `times-frac_binary64_1211`
1×	`pow-exp_binary64_1140` `pow-to-exp_binary64_1141` `flip-+_binary64_1241` `flip3-+_binary64_1214` `pow-pow_binary64_1144` `unpow2_binary64_1159` `associate--r+_binary64_1271` `sqr-pow_binary64_1248` `+-commutative_binary64_1283`

Counts

4 → 63

Calls

4 calls:

15.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
11.0ms	(-.f64 (/.f64 (+.f64 m n) 2) M)
20.0ms	(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))
11.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

series348.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
18.0ms	(-.f64 (/.f64 (+.f64 m n) 2) M)
144.0ms	(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))
57.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

simplify60.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5005	1586

prune195.0ms

Filtered

54 candidates to 75 candidates (-38.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	75	5	80

Merged error: 1.4b

Counts

80 → 5

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 m n))
0.6b	(cbrt.f64 (+.f64 m n))
0.6b	(cbrt.f64 (+.f64 m n))
35.1b	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (*.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))) (cbrt.f64 (+.f64 m n))) 2) M))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_1216`
12×	`cbrt-prod_binary64_1183`
7×	`add-sqr-sqrt_binary64_1201` `add-cube-cbrt_binary64_1187`
6×	`cbrt-div_binary64_1184`
4×	`add-cbrt-cube_binary64_1188` `pow1_binary64_1162` `add-exp-log_binary64_1180` `add-log-exp_binary64_1181`
3×	`flip-+_binary64_1241` `flip3-+_binary64_1214` `pow1/3_binary64_1154` `distribute-lft-out_binary64_1260`
1×	`sub-neg_binary64_1220` `cos-diff_binary64_1069` `cos-sum_binary64_1066`

Counts

4 → 51

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 m n))
3.0ms	(cbrt.f64 (+.f64 m n))
3.0ms	(cbrt.f64 (+.f64 m n))
19.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (*.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))) (cbrt.f64 (+.f64 m n))) 2) M))

series463.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt.f64 (+.f64 m n))
121.0ms	(cbrt.f64 (+.f64 m n))
122.0ms	(cbrt.f64 (+.f64 m n))
100.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (*.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))) (cbrt.f64 (+.f64 m n))) 2) M))

simplify56.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5035	897

prune214.0ms

Filtered

55 candidates to 63 candidates (-14.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	61	7	68

Merged error: 1.4b

Counts

68 → 7

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 m n))
0.6b	(cbrt.f64 (+.f64 m n))
0.6b	(cbrt.f64 (+.f64 m n))
35.5b	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 m n))) (cbrt.f64 (cbrt.f64 (+.f64 m n)))) (cbrt.f64 (cbrt.f64 (+.f64 m n))))) 2) M))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_1216`
12×	`cbrt-prod_binary64_1183`
7×	`add-sqr-sqrt_binary64_1201` `add-cube-cbrt_binary64_1187`
6×	`cbrt-div_binary64_1184`
4×	`add-cbrt-cube_binary64_1188` `pow1_binary64_1162` `add-exp-log_binary64_1180` `add-log-exp_binary64_1181`
3×	`flip-+_binary64_1241` `flip3-+_binary64_1214` `pow1/3_binary64_1154` `distribute-lft-out_binary64_1260`
1×	`sub-neg_binary64_1220` `cos-diff_binary64_1069` `cos-sum_binary64_1066`

Counts

4 → 51

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 m n))
3.0ms	(cbrt.f64 (+.f64 m n))
3.0ms	(cbrt.f64 (+.f64 m n))
32.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 m n))) (cbrt.f64 (cbrt.f64 (+.f64 m n)))) (cbrt.f64 (cbrt.f64 (+.f64 m n))))) 2) M))

series463.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt.f64 (+.f64 m n))
119.0ms	(cbrt.f64 (+.f64 m n))
119.0ms	(cbrt.f64 (+.f64 m n))
106.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 m n))) (cbrt.f64 (cbrt.f64 (+.f64 m n)))) (cbrt.f64 (cbrt.f64 (+.f64 m n))))) 2) M))

simplify72.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5224	888

prune192.0ms

Filtered

55 candidates to 63 candidates (-14.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	63	7	70

Merged error: 1.3b

Counts

70 → 7

regimes541.0ms

Accuracy

0% (0.3b remaining)

Error of 1.4b against oracle of 1.1b and baseline of 1.4b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	26
1	62	26

end0.0ms

sample1.6s

Algorithm

intervals

Results

894.0ms	7820×	body	80	valid
51.0ms	83×	body	1280	invalid
42.0ms	88×	body	640	invalid
38.0ms	75×	body	640	valid
33.0ms	45×	body	1280	valid
32.0ms	291×	body	80	invalid
20.0ms	61×	body	320	invalid
13.0ms	38×	body	320	valid
7.0ms	30×	body	160	invalid
5.0ms	22×	body	160	valid
4.0ms	4×	body	2560	invalid

Details

analyze2.4s

sample56.0ms

simplify198.0ms

prune14.0ms

localize31.0ms

rewrite49.0ms

series299.0ms

simplify83.0ms

prune224.0ms

localize21.0ms

rewrite58.0ms

series348.0ms

simplify60.0ms

prune195.0ms

localize38.0ms

rewrite30.0ms

series463.0ms

simplify56.0ms

prune214.0ms

localize48.0ms

rewrite44.0ms

series463.0ms

simplify72.0ms

prune192.0ms

regimes541.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.6s

Profiling