Details

sample385.0ms

Algorithm

intervals

Results

60.0ms	19×	body	2560	valid
41.0ms	58×	body	1280	valid
12.0ms	32×	body	640	valid
11.0ms	139×	body	80	valid
2.0ms	7×	body	320	valid
1.0ms	5×	body	160	valid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(/ 1.0 (* F F))
3.9b	(* (/ 1.0 (* F F)) (tan (* PI l)))
28.5b	(tan (* PI l))

rewrite28.0ms

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:

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

series269.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
25.0ms	(/ 1.0 (* F F))
138.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
85.0ms	(tan (* PI l))

simplify45.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (35.0ms)

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

prune247.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 10.7b

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)))
28.5b	(tan (* PI l))

rewrite28.0ms

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×	`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:

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

series273.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* PI l)
20.0ms	(* PI l)
168.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
63.0ms	(tan (* PI l))

simplify95.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	303	519
1	1044	478
2	4000	476
3	5001	475

prune369.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 10.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* (cbrt 1.0) (tan (* PI l))) F)
0.3b	(* PI l)
0.3b	(* PI l)
28.5b	(tan (* PI l))

rewrite16.0ms

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×	`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:

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

series280.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(/ (* (cbrt 1.0) (tan (* PI l))) F)
23.0ms	(* PI l)
20.0ms	(* PI l)
66.0ms	(tan (* PI l))

simplify118.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (113.0ms)

Iter	Nodes	Cost
0	264	362
1	1059	321
2	4830	320
3	5001	319

prune288.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 10.6b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (/ (cbrt 1.0) F))
0.5b	(cbrt (/ (cbrt 1.0) F))
0.5b	(cbrt (/ (cbrt 1.0) F))
28.5b	(tan (* PI l))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

93×	`cbrt-prod`
54×	`times-frac`
43×	`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×	`cbrt-div` `pow1/3` `div-inv`
1×	`tan-quot`

Counts

4 → 109

Calls

4 calls:

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

series856.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(cbrt (/ (cbrt 1.0) F))
264.0ms	(cbrt (/ (cbrt 1.0) F))
263.0ms	(cbrt (/ (cbrt 1.0) F))
66.0ms	(tan (* PI l))

simplify118.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 4 (109.0ms)

Iter	Nodes	Cost
0	210	896
1	434	870
2	1165	852
3	3955	819
4	5001	807

prune458.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 10.6b

regimes396.0ms

Accuracy

0% (0.4b remaining)

Error of 12.6b against oracle of 12.2b and baseline of 12.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	22
1	24	22

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.4s	782×	body	2560	valid
1.2s	1710×	body	1280	valid
358.0ms	991×	body	640	valid
301.0ms	4549×	body	80	valid
232.0ms	10×	body	10240	exit
86.0ms	383×	body	320	valid
31.0ms	203×	body	160	valid