Details

sample381.0ms

Algorithm

intervals

Results

63.0ms	19×	body	2560	valid
36.0ms	49×	body	1280	valid
10.0ms	151×	body	80	valid
10.0ms	29×	body	640	valid
3.0ms	14×	body	320	valid
1.0ms	6×	body	160	valid

simplify17.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.4b	(/ 1.0 (* F F))
5.8b	(* (/ 1.0 (* F F)) (tan (* PI l)))
27.2b	(tan (* PI l))

rewrite38.0ms

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:

3.0ms	(* PI l)
3.0ms	(/ 1.0 (* F F))
16.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms	(tan (* PI l))

series251.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
24.0ms	(/ 1.0 (* F F))
134.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
73.0ms	(tan (* PI l))

simplify44.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (8.0ms)

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

prune220.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 9.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(* (/ (sqrt 1.0) F) (tan (* PI l)))
27.2b	(tan (* PI l))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

3.0ms	(* PI l)
3.0ms	(* PI l)
15.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series267.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
20.0ms	(* PI l)
163.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
65.0ms	(tan (* PI l))

simplify99.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	297	498
1	1061	455
2	4012	454
3	5002	454

prune311.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 9.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* (sqrt 1.0) (tan (* PI l))) F)
0.2b	(* PI l)
0.2b	(* PI l)
27.2b	(tan (* PI l))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

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

series271.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(/ (* (sqrt 1.0) (tan (* PI l))) F)
20.0ms	(* PI l)
20.0ms	(* PI l)
65.0ms	(tan (* PI l))

simplify34.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	258	339
1	1081	299
2	5001	299

prune254.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 9.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.3b	(/ F (tan (* PI l)))
0.6b	(/ (sqrt 1.0) (/ F (tan (* PI l))))
27.2b	(tan (* PI l))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 173

Calls

4 calls:

3.0ms	(* PI l)
3.0ms	(/ F (tan (* PI l)))
9.0ms	(/ (sqrt 1.0) (/ F (tan (* PI l))))
2.0ms	(tan (* PI l))

series389.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* PI l)
138.0ms	(/ F (tan (* PI l)))
163.0ms	(/ (sqrt 1.0) (/ F (tan (* PI l))))
65.0ms	(tan (* PI l))

simplify64.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	581	1730
1	2356	1649
2	5002	1646

prune490.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.0b

regimes278.0ms

Accuracy

0% (0.4b remaining)

Error of 8.5b against oracle of 8.1b and baseline of 8.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	13
1	19	13

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.6s	853×	body	2560	valid
1.2s	1665×	body	1280	valid
357.0ms	989×	body	640	valid
292.0ms	4491×	body	80	valid
186.0ms	8×	body	10240	exit
93.0ms	418×	body	320	valid
31.0ms	204×	body	160	valid