Details

sample375.0ms

Algorithm

intervals

Results

61.0ms	21×	body	2560	valid
27.0ms	49×	body	1280	valid
8.0ms	34×	body	640	valid
7.0ms	156×	body	80	valid
2.0ms	13×	body	320	valid
0.0ms	3×	body	160	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	7
1	39	7
2	76	7
3	114	7
4	137	7
5	144	7
6	144	7

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 15.3b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.7b	(/ 1.0 (* F F))
4.6b	(* (/ 1.0 (* F F)) (tan (* PI l)))
28.1b	(tan (* PI l))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

123×	`add-sqr-sqrt`
95×	`times-frac`
86×	`add-cube-cbrt` `*-un-lft-identity`
79×	`associate-l`
45×	`associate-/r*`
33×	`associate-r`
28×	`swap-sqr`
23×	`tan-quot`
21×	`frac-times` `associate-*l/`
20×	`add-exp-log` `add-cbrt-cube`
17×	`unswap-sqr`
12×	`*-commutative`
9×	`associate-/l*`
8×	`pow1`
6×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`pow-prod-down` `div-inv`
1×	`associate-*r/`

Counts

4 → 219

Calls

4 calls:

3.0ms	(* PI l)
24.0ms	(/ 1.0 (* F F))
19.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
5.0ms	(tan (* PI l))

series277.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* PI l)
26.0ms	(/ 1.0 (* F F))
141.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
85.0ms	(tan (* PI l))

simplify93.0ms

Algorithm

egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	677	1329
1	3442	1243
2	5002	1229

prune416.0ms

Filtered

231 candidates to 151 candidates (34.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	220	11	231
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	221	11	232

Merged error: 10.3b

Counts

232 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* 1.0 (tan (* PI l))) F)
0.2b	(* PI l)
0.2b	(* PI l)
28.1b	(tan (* PI l))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
36×	`times-frac`
33×	`add-cube-cbrt` `*-un-lft-identity`
18×	`associate-r` `associate-l`
13×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/l*`
8×	`pow1`
6×	`*-commutative` `unswap-sqr`
4×	`add-log-exp`
3×	`prod-exp` `associate-/r*` `cbrt-unprod`
2×	`tan-quot` `cbrt-undiv` `div-exp` `pow-prod-down`
1×	`frac-2neg` `associate-*r/` `clear-num` `div-inv` `associate-/l/`

Counts

4 → 110

Calls

4 calls:

9.0ms	(/ (* 1.0 (tan (* PI l))) F)
3.0ms	(* PI l)
3.0ms	(* PI l)
3.0ms	(tan (* PI l))

series230.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(/ (* 1.0 (tan (* PI l))) F)
20.0ms	(* PI l)
20.0ms	(* PI l)
70.0ms	(tan (* PI l))

simplify48.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	396	692
1	1669	652
2	5002	652

prune270.0ms

Filtered

122 candidates to 89 candidates (27.0%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	110	12	122
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	115	18	133

Merged error: 10.2b

Counts

133 → 18

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* 1.0 (tan (* PI l))))
28.1b	(tan (* PI l))
28.1b	(tan (* PI l))
28.1b	(tan (* PI l))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`tan-quot` `pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
1×	`cbrt-div` `pow1/3` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 45

Calls

4 calls:

6.0ms	(cbrt (* 1.0 (tan (* PI l))))
3.0ms	(tan (* PI l))
3.0ms	(tan (* PI l))
3.0ms	(tan (* PI l))

series482.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(cbrt (* 1.0 (tan (* PI l))))
72.0ms	(tan (* PI l))
69.0ms	(tan (* PI l))
71.0ms	(tan (* PI l))

simplify86.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	180	368
1	561	344
2	2406	334
3	5002	326

prune215.0ms

Filtered

57 candidates to 46 candidates (19.3%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	1	16	17
Picked	0	1	1
Done	0	0	0
Total	56	19	75

Merged error: 10.2b

Counts

75 → 19

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt l)
0.6b	(cbrt l)
0.6b	(cbrt l)
27.7b	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
1×	`tan-quot`

Counts

4 → 41

Calls

4 calls:

1.0ms	(cbrt l)
1.0ms	(cbrt l)
1.0ms	(cbrt l)
20.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

series661.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt l)
187.0ms	(cbrt l)
193.0ms	(cbrt l)
94.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

simplify179.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	103	232
1	249	208
2	812	192
3	4286	192
4	5002	192

prune149.0ms

Filtered

53 candidates to 45 candidates (15.1%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	47	6	53
Fresh	3	14	17
Picked	1	0	1
Done	0	1	1
Total	51	21	72

Merged error: 10.2b

Counts

72 → 21

regimes416.0ms

Accuracy

0% (0.5b remaining)

Error of 12.8b against oracle of 12.3b and baseline of 12.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	18
1	15	18

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.5s	835×	body	2560	valid
943.0ms	1678×	body	1280	valid
235.0ms	940×	body	640	valid
209.0ms	4540×	body	80	valid
60.0ms	370×	body	320	valid
21.0ms	200×	body	160	valid
2.0ms	5×	body	10240	exit