Details

sample366.0ms

Algorithm

intervals

Results

68.0ms	24×	body	2560	valid
26.0ms	50×	body	1280	valid
9.0ms	35×	body	640	valid
7.0ms	148×	body	80	valid
2.0ms	10×	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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.8b	(/ 1.0 (* F F))
4.3b	(* (/ 1.0 (* F F)) (tan (* PI l)))
28.3b	(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:

3.0ms	(* PI l)
5.0ms	(/ 1.0 (* F F))
9.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms	(tan (* PI l))

series253.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
23.0ms	(/ 1.0 (* F F))
130.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
80.0ms	(tan (* PI l))

simplify42.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (9.0ms)

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

prune227.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 10.8b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(* (/ (cbrt 1.0) F) (tan (* PI l)))
28.3b	(tan (* PI l))

rewrite21.0ms

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`
12×	`add-cbrt-cube`
10×	`pow1` `cbrt-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)
4.0ms	(* PI l)
9.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series264.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
24.0ms	(* PI l)
156.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
65.0ms	(tan (* PI l))

simplify97.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	294	496
1	1023	455
2	3911	454
3	5001	451

prune343.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 10.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* (cbrt 1.0) (tan (* PI l))) F)
0.2b	(* PI l)
0.2b	(* PI l)
28.3b	(tan (* PI l))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-exp-log`
12×	`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:

6.0ms	(/ (* (cbrt 1.0) (tan (* PI l))) F)
3.0ms	(* PI l)
4.0ms	(* PI l)
2.0ms	(tan (* PI l))

series273.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(/ (* (cbrt 1.0) (tan (* PI l))) F)
19.0ms	(* PI l)
19.0ms	(* PI l)
66.0ms	(tan (* PI l))

simplify122.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	254	340
1	1034	299
2	4729	299
3	5002	299

prune268.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 10.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt PI) (* (sqrt PI) l))
1.0b	(sqrt PI)
1.0b	(sqrt PI)
28.6b	(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`tan-quot` `associate-r` `*-commutative`

Counts

4 → 55

Calls

4 calls:

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

series87.0ms

Counts

4 → 8

Calls

4 calls:

20.0ms	(* (sqrt PI) (* (sqrt PI) l))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
66.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify158.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	150	236
1	482	202
2	1448	202
3	4933	202
4	5002	202

prune198.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 10.7b

regimes488.0ms

Accuracy

0% (0.3b remaining)

Error of 12.5b against oracle of 12.2b and baseline of 12.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	19
1	23	19

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.5s	848×	body	2560	valid
890.0ms	1643×	body	1280	valid
228.0ms	912×	body	640	valid
202.0ms	4606×	body	80	valid
61.0ms	367×	body	320	valid
24.0ms	231×	body	160	valid
1.0ms	3×	body	10240	exit