Details

sample311.0ms

Algorithm

intervals

Results

241.0ms	16×	body	2560	valid
29.0ms	53×	body	1280	valid
11.0ms	164×	body	80	valid
9.0ms	31×	body	640	valid
2.0ms	12×	body	320	valid
1.0ms	8×	body	160	valid

simplify396.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

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: 15.0b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
5.6b	(* (/ 1.0 (* F F)) (tan (* PI l)))
28.0b	(tan (* PI l))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

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

series46.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(* PI l)
2.0ms	(* PI l)
23.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
18.0ms	(tan (* PI l))

simplify48.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	306	403
1	1397	345
2	5002	345

prune162.0ms

Filtered

58 candidates to 86 candidates (-48.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	70	16	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	16	87

Merged error: 9.0b

Counts

87 → 16

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ 1.0 F) (tan (* PI l)))
28.0b	(tan (* PI l))

rewrite17.0ms

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)
3.0ms	(* PI l)
6.0ms	(* (/ 1.0 F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series34.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(* PI l)
2.0ms	(* PI l)
21.0ms	(* (/ 1.0 F) (tan (* PI l)))
8.0ms	(tan (* PI l))

simplify84.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (24.0ms)

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

prune161.0ms

Filtered

64 candidates to 90 candidates (-40.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	82	8	90
Fresh	6	9	15
Picked	1	0	1
Done	0	0	0
Total	89	17	106

Merged error: 9.0b

Counts

106 → 17

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(/ (tan (* PI l)) F)
28.0b	(tan (* PI l))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

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

series31.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(* PI l)
2.0ms	(* PI l)
16.0ms	(/ (tan (* PI l)) F)
10.0ms	(tan (* PI l))

simplify62.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	203	349
1	665	322
2	2201	322
3	5001	322

prune136.0ms

Filtered

60 candidates to 84 candidates (-40.0%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	16	16
Picked	0	1	1
Done	0	0	0
Total	83	18	101

Merged error: 9.0b

Counts

101 → 18

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt F)
0.5b	(cbrt F)
0.5b	(cbrt F)
28.0b	(tan (* PI l))

rewrite6.0ms

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 F)
1.0ms	(cbrt F)
1.0ms	(cbrt F)
2.0ms	(tan (* PI l))

series75.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt F)
21.0ms	(cbrt F)
23.0ms	(cbrt F)
10.0ms	(tan (* PI l))

simplify93.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	117	208
1	251	191
2	747	161
3	2966	158
4	5001	158

prune68.0ms

Filtered

42 candidates to 53 candidates (-26.2%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	49	4	53
Fresh	2	14	16
Picked	0	1	1
Done	0	1	1
Total	51	20	71

Merged error: 9.0b

Counts

71 → 20

regimes623.0ms

Accuracy

0% (0.3b remaining)

Error of 12.6b against oracle of 12.3b and baseline of 12.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	8
1	17	8

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.5s	836×	body	2560	valid
1.0s	1740×	body	1280	valid
241.0ms	907×	body	640	valid
230.0ms	4598×	body	80	valid
64.0ms	363×	body	320	valid
24.0ms	204×	body	160	valid
2.0ms	5×	body	5120	exit

Details

sample311.0ms

simplify396.0ms

prune5.0ms

localize12.0ms

rewrite21.0ms

series46.0ms

simplify48.0ms

prune162.0ms

localize13.0ms

rewrite17.0ms

series34.0ms

simplify84.0ms

prune161.0ms

localize11.0ms

rewrite14.0ms

series31.0ms

simplify62.0ms

prune136.0ms

localize17.0ms

rewrite6.0ms

series75.0ms

simplify93.0ms

prune68.0ms

regimes623.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample4.4s

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