Details

sample414.0ms

Algorithm

intervals

Results

85.0ms	28×	body	2560	valid
37.0ms	52×	body	1280	valid
10.0ms	136×	body	80	valid
10.0ms	30×	body	640	valid
3.0ms	14×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.4b	(/ 1.0 (* F F))
4.6b	(* (/ 1.0 (* F F)) (tan (* PI l)))
30.8b	(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:

4.0ms	(* PI l)
5.0ms	(/ 1.0 (* F F))
10.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms	(tan (* PI l))

series271.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* PI l)
26.0ms	(/ 1.0 (* F F))
139.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
85.0ms	(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

prune244.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 13.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ 1.0 F) (tan (* PI l)))
30.8b	(tan (* PI l))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

4.0ms	(* PI l)
4.0ms	(* PI l)
7.0ms	(* (/ 1.0 F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series235.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* PI l)
20.0ms	(* PI l)
125.0ms	(* (/ 1.0 F) (tan (* PI l)))
66.0ms	(tan (* PI l))

simplify87.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	277	382
1	1009	342
2	3834	341
3	5001	341

prune273.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 13.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
29.6b	(cos (* PI l))
30.1b	(sin (* PI l))

rewrite13.0ms

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))

series85.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* PI l)
20.0ms	(* PI l)
17.0ms	(cos (* PI l))
27.0ms	(sin (* PI l))

simplify112.0ms

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

prune218.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.9b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* PI l))
0.6b	(cbrt (* PI l))
30.1b	(sin (* PI l))
30.3b	(cos (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
2×	`cbrt-prod` `pow1/3`

Counts

4 → 32

Calls

4 calls:

3.0ms	(cbrt (* PI l))
3.0ms	(cbrt (* PI l))
2.0ms	(sin (* PI l))
4.0ms	(cos (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))

series497.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(cbrt (* PI l))
222.0ms	(cbrt (* PI l))
24.0ms	(sin (* PI l))
35.0ms	(cos (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))

simplify66.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	160	261
1	461	225
2	1833	213
3	5002	202

prune161.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.9b

regimes405.0ms

Accuracy

81.8% (0.9b remaining)

Error of 8.8b against oracle of 7.9b and baseline of 13.0b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	50
1	67	50

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.6s	830×	body	2560	valid
1.3s	1752×	body	1280	valid
334.0ms	974×	body	640	valid
289.0ms	4447×	body	80	valid
99.0ms	4×	body	10240	exit
86.0ms	391×	body	320	valid
31.0ms	207×	body	160	valid