Details

sample382.0ms

Algorithm

intervals

Results

74.0ms	23×	body	2560	valid
32.0ms	58×	body	1280	valid
9.0ms	32×	body	640	valid
7.0ms	139×	body	80	valid
1.0ms	8×	body	320	valid
1.0ms	9×	body	160	valid

simplify18.0ms

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

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: 17.6b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.7b	(/ 1.0 (* F F))
4.4b	(* (/ 1.0 (* F F)) (tan (* PI l)))
30.3b	(tan (* PI l))

rewrite61.0ms

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)
21.0ms	(/ 1.0 (* F F))
20.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
6.0ms	(tan (* PI l))

series255.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* PI l)
25.0ms	(/ 1.0 (* F F))
129.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
79.0ms	(tan (* PI l))

simplify87.0ms

Algorithm

egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	677	1329
1	3444	1243
2	5003	1229

prune529.0ms

Filtered

231 candidates to 151 candidates (65.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	218	13	231
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	219	13	232

Merged error: 12.8b

Counts

232 → 13

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* 1.0 (tan (* PI l))) F)
0.3b	(* PI l)
0.3b	(* PI l)
30.3b	(tan (* PI l))

rewrite24.0ms

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:

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

series216.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(/ (* 1.0 (tan (* PI l))) F)
19.0ms	(* PI l)
19.0ms	(* PI l)
63.0ms	(tan (* PI l))

simplify45.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	396	692
1	1672	652
2	5001	652

prune336.0ms

Filtered

122 candidates to 89 candidates (73.0%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	111	11	122
Fresh	5	7	12
Picked	1	0	1
Done	0	0	0
Total	117	18	135

Merged error: 12.7b

Counts

135 → 18

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* 1.0 (tan (* PI l))) F)
0.3b	(* PI l)
0.3b	(* PI l)
30.3b	(tan (* PI l))

rewrite24.0ms

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:

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

series213.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(/ (* 1.0 (tan (* PI l))) F)
19.0ms	(* PI l)
19.0ms	(* PI l)
66.0ms	(tan (* PI l))

simplify50.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	396	692
1	1672	652
2	5001	652

prune354.0ms

Filtered

122 candidates to 89 candidates (73.0%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	4	13	17
Picked	0	1	1
Done	0	0	0
Total	122	18	140

Merged error: 12.7b

Counts

140 → 18

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt l)
0.6b	(cbrt l)
0.6b	(cbrt l)
30.3b	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

rewrite24.0ms

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)))

series619.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt l)
174.0ms	(cbrt l)
183.0ms	(cbrt l)
86.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

simplify198.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	105	232
1	261	208
2	864	192
3	4698	192
4	5002	192

prune189.0ms

Filtered

53 candidates to 45 candidates (84.9%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	46	7	53
Fresh	3	13	16
Picked	0	1	1
Done	0	1	1
Total	49	22	71

Merged error: 12.7b

Counts

71 → 22

regimes400.0ms

Accuracy

0% (0.3b remaining)

Error of 12.1b against oracle of 11.8b and baseline of 12.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	9
1	21	9
2	21	9

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.4s	807×	body	2560	valid
852.0ms	1575×	body	1280	valid
238.0ms	947×	body	640	valid
213.0ms	4684×	body	80	valid
57.0ms	367×	body	320	valid
22.0ms	211×	body	160	valid
2.0ms	5×	body	10240	exit