Details

sample409.0ms

Algorithm

intervals

Results

102.0ms	31×	body	2560	valid
30.0ms	48×	body	1280	valid
9.0ms	147×	body	80	valid
8.0ms	31×	body	640	valid
1.0ms	7×	body	320	valid
1.0ms	5×	body	160	valid

simplify19.0ms

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 (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: 16.5b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.6b	(/ 1.0 (* F F))
3.0b	(* (/ 1.0 (* F F)) (tan (* PI l)))
28.0b	(tan (* PI l))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
8×	`pow1`
7×	`times-frac`
6×	`associate-r` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`tan-quot` `associate-/l*` `unswap-sqr`
2×	`pow-prod-down` `*-commutative` `div-inv`
1×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `associate-/r*`

Counts

4 → 77

Calls

4 calls:

4.0ms	(* PI l)
5.0ms	(/ 1.0 (* F F))
10.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms	(tan (* PI l))

series287.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* PI l)
26.0ms	(/ 1.0 (* F F))
146.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
93.0ms	(tan (* PI l))

simplify46.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	323	443
1	1416	374
2	5001	374

prune222.0ms

Filtered

89 candidates to 61 candidates (68.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	75	14	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	14	90

Merged error: 13.3b

Counts

90 → 14

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* (/ 1 F) (* (/ 1.0 F) (tan (* PI l))))
0.4b	(* (/ 1.0 F) (tan (* PI l)))
28.0b	(tan (* PI l))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-exp-log`
32×	`add-cbrt-cube`
29×	`associate-l`
28×	`add-sqr-sqrt`
23×	`prod-exp`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`pow1` `cbrt-unprod`
11×	`div-exp`
7×	`tan-quot` `associate-r`
6×	`cbrt-undiv` `frac-times` `associate-*r/`
5×	`pow-prod-down`
4×	`associate-*l/` `add-log-exp`
3×	`rec-exp` `1-exp` `*-commutative` `unswap-sqr`
2×	`div-inv`

Counts

4 → 109

Calls

4 calls:

4.0ms	(* PI l)
12.0ms	(* (/ 1 F) (* (/ 1.0 F) (tan (* PI l))))
7.0ms	(* (/ 1.0 F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series364.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* PI l)
138.0ms	(* (/ 1 F) (* (/ 1.0 F) (tan (* PI l))))
134.0ms	(* (/ 1.0 F) (tan (* PI l)))
67.0ms	(tan (* PI l))

simplify64.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	526	766
1	2686	631
2	5001	623

prune251.0ms

Filtered

121 candidates to 79 candidates (65.3%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	115	6	121
Fresh	3	10	13
Picked	0	1	1
Done	0	0	0
Total	118	17	135

Merged error: 13.3b

Counts

135 → 17

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.4b	(* (/ 1.0 F) (tan (* PI l)))
28.0b	(tan (* PI l))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
19×	`associate-l`
16×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`pow1` `times-frac`
9×	`associate-r`
4×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`tan-quot` `pow-prod-down` `*-commutative`
1×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `associate-l/` `div-inv`

Counts

4 → 78

Calls

4 calls:

3.0ms	(* PI l)
4.0ms	(* PI l)
7.0ms	(* (/ 1.0 F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series244.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* PI l)
21.0ms	(* PI l)
131.0ms	(* (/ 1.0 F) (tan (* PI l)))
71.0ms	(tan (* PI l))

simplify89.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	277	382
1	1009	342
2	3834	341
3	5001	341

prune219.0ms

Filtered

90 candidates to 64 candidates (71.1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	83	7	90
Fresh	1	14	15
Picked	1	0	1
Done	0	1	1
Total	85	22	107

Merged error: 13.2b

Counts

107 → 22

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(/ (* 1.0 (sin (* PI l))) (* F (cos (* PI l))))
27.9b	(cos (* PI l))
28.2b	(sin (* PI l))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

4.0ms	(* PI l)
8.0ms	(/ (* 1.0 (sin (* PI l))) (* F (cos (* PI l))))
2.0ms	(cos (* PI l))
2.0ms	(sin (* PI l))

series191.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* PI l)
123.0ms	(/ (* 1.0 (sin (* PI l))) (* F (cos (* PI l))))
21.0ms	(cos (* PI l))
25.0ms	(sin (* PI l))

simplify44.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	335	403
1	1657	314
2	5001	314

prune135.0ms

Filtered

65 candidates to 43 candidates (66.2%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	63	2	65
Fresh	3	17	20
Picked	1	0	1
Done	0	1	1
Total	67	20	87

Merged error: 9.5b

Counts

87 → 20

regimes515.0ms

Accuracy

83.7% (0.8b remaining)

Error of 8.3b against oracle of 7.5b and baseline of 12.4b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	46
1	62	46

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.5s	816×	body	2560	valid
975.0ms	1677×	body	1280	valid
270.0ms	985×	body	640	valid
229.0ms	4486×	body	80	valid
68.0ms	369×	body	320	valid
27.0ms	230×	body	160	valid
1.0ms	1×	body	5120	exit