Details

sample392.0ms

Algorithm

intervals

Results

88.0ms	29×	body	2560	valid
31.0ms	55×	body	1280	valid
8.0ms	26×	body	640	valid
7.0ms	145×	body	80	valid
2.0ms	15×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.6b	(/ 1.0 (* F F))
4.1b	(* (/ 1.0 (* F F)) (tan (* PI l)))
30.9b	(tan (* PI l))

rewrite25.0ms

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))
11.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms	(tan (* PI l))

series261.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
24.0ms	(/ 1.0 (* F F))
133.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
84.0ms	(tan (* PI l))

simplify43.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (9.0ms)

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

prune230.0ms

Filtered

89 candidates to 61 candidates (68.5%)

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 13.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ (cbrt 1.0) F) (tan (* PI l)))
30.9b	(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:

4.0ms	(* PI l)
4.0ms	(* PI l)
9.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series263.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
19.0ms	(* PI l)
161.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
64.0ms	(tan (* PI l))

simplify92.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 3 (85.0ms)

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

prune338.0ms

Filtered

100 candidates to 74 candidates (74.0%)

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 13.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
30.2b	(cos (* PI l))
30.6b	(sin (* PI l))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 50

Calls

4 calls:

4.0ms	(* PI l)
4.0ms	(* PI l)
2.0ms	(cos (* PI l))
2.0ms	(sin (* PI l))

series77.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
19.0ms	(* PI l)
17.0ms	(cos (* PI l))
23.0ms	(sin (* PI l))

simplify113.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	154	181
1	584	163
2	2960	163
3	5002	163

prune234.0ms

Filtered

62 candidates to 42 candidates (67.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 10.0b

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt PI)
1.0b	(* (cbrt PI) (cbrt PI))
30.6b	(sin (* PI l))
30.7b	(cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`cbrt-prod`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
7×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 65

Calls

4 calls:

1.0ms	(cbrt PI)
6.0ms	(* (cbrt PI) (cbrt PI))
2.0ms	(sin (* PI l))
3.0ms	(cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))

series43.0ms

Counts

4 → 8

Calls

4 calls:

0.0ms	(cbrt PI)
0.0ms	(* (cbrt PI) (cbrt PI))
22.0ms	(sin (* PI l))
21.0ms	(cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))

simplify127.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (119.0ms)

Iter	Nodes	Cost
0	177	348
1	667	311
2	3382	294
3	5002	286

prune234.0ms

Filtered

73 candidates to 48 candidates (65.8%)

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 10.0b

regimes474.0ms

Accuracy

86.1% (0.6b remaining)

Error of 8.4b against oracle of 7.8b and baseline of 12.4b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	47
1	59	47

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.5s	830×	body	2560	valid
919.0ms	1654×	body	1280	valid
250.0ms	969×	body	640	valid
213.0ms	4610×	body	80	valid
70.0ms	406×	body	320	valid
22.0ms	202×	body	160	valid
2.0ms	6×	body	10240	exit