Details

sample478.0ms

Algorithm

intervals

Results

80.0ms	25×	body	2560	valid
38.0ms	47×	body	1280	valid
31.0ms	25×	body	640	valid
12.0ms	158×	body	80	valid
3.0ms	15×	body	320	valid
1.0ms	6×	body	160	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	7
1	41	7
2	82	7
3	122	7
4	147	7
5	157	7
6	159	7
7	159	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:

0.3b	(* PI l)
0.5b	(/ 1.0 (* F F))
2.8b	(* (/ 1.0 (* F F)) (tan (* PI l)))
26.7b	(tan (* PI l))

rewrite78.0ms

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` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `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 → 85

Calls

4 calls:

7.0ms	(* PI l)
8.0ms	(/ 1.0 (* F F))
50.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
9.0ms	(tan (* PI l))

series258.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* PI l)
25.0ms	(/ 1.0 (* F F))
132.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
77.0ms	(tan (* PI l))

simplify42.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	334	468
1	1442	399
2	5001	398

prune248.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 13.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (sqrt 1.0) F) (tan (* PI l)))
0.3b	(* PI l)
0.3b	(* PI l)
26.7b	(tan (* PI l))

rewrite63.0ms

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×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 96

Calls

4 calls:

36.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
7.0ms	(* PI l)
7.0ms	(* PI l)
11.0ms	(tan (* PI l))

series266.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
22.0ms	(* PI l)
20.0ms	(* PI l)
64.0ms	(tan (* PI l))

simplify101.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	305	522
1	1082	478
2	4101	476
3	5001	475

prune333.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 13.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* (sqrt 1.0) (tan (* PI l))) F)
0.3b	(* PI l)
0.3b	(* PI l)
26.7b	(tan (* PI l))

rewrite49.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 74

Calls

4 calls:

23.0ms	(/ (* (sqrt 1.0) (tan (* PI l))) F)
7.0ms	(* PI l)
9.0ms	(* PI l)
9.0ms	(tan (* PI l))

series268.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify32.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	267	362
1	1104	322
2	5001	320

prune281.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 13.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt F)
0.6b	(cbrt F)
0.6b	(cbrt F)
26.7b	(tan (* PI l))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`tan-quot`

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt F)
1.0ms	(cbrt F)
1.0ms	(cbrt F)
8.0ms	(tan (* PI l))

series591.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt F)
174.0ms	(cbrt F)
175.0ms	(cbrt F)
65.0ms	(tan (* PI l))

simplify115.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	103	188
1	246	174
2	836	168
3	3741	168
4	5001	168

prune232.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 13.0b

regimes464.0ms

Accuracy

0% (0.5b remaining)

Error of 13.0b against oracle of 12.5b and baseline of 13.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	16
1	27	16
2	27	16

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.6s	833×	body	2560	valid
1.2s	1658×	body	1280	valid
350.0ms	991×	body	640	valid
300.0ms	4511×	body	80	valid
117.0ms	5×	body	10240	exit
85.0ms	393×	body	320	valid
32.0ms	212×	body	160	valid