Details

sample463.0ms

Algorithm

intervals

Results

114.0ms	37×	body	2560	valid
36.0ms	48×	body	1280	valid
23.0ms	1×	body	10240	exit
12.0ms	28×	body	640	valid
10.0ms	151×	body	80	valid
3.0ms	12×	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: 17.4b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.4b	(/ 1.0 (* F F))
3.3b	(* (/ 1.0 (* F F)) (tan (* PI l)))
30.2b	(tan (* PI l))

rewrite79.0ms

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:

7.0ms	(* PI l)
7.0ms	(/ 1.0 (* F F))
52.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
9.0ms	(tan (* PI l))

series242.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
24.0ms	(/ 1.0 (* F F))
127.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
72.0ms	(tan (* PI l))

simplify41.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (9.0ms)

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

prune215.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 14.0b

localize13.0ms

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)))
30.2b	(tan (* PI l))

rewrite60.0ms

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:

7.0ms	(* PI l)
6.0ms	(* PI l)
36.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
8.0ms	(tan (* PI l))

series249.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
18.0ms	(* PI l)
152.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
61.0ms	(tan (* PI l))

simplify93.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 3 (86.0ms)

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

prune309.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 14.0b

localize17.0ms

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))
30.2b	(tan (* PI l))

rewrite21.0ms

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` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-div` `pow1/3` `div-inv`
1×	`tan-quot`

Counts

4 → 101

Calls

4 calls:

3.0ms	(cbrt (/ (cbrt 1.0) F))
3.0ms	(cbrt (/ (cbrt 1.0) F))
3.0ms	(cbrt (/ (cbrt 1.0) F))
7.0ms	(tan (* PI l))

series797.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(cbrt (/ (cbrt 1.0) F))
242.0ms	(cbrt (/ (cbrt 1.0) F))
247.0ms	(cbrt (/ (cbrt 1.0) F))
61.0ms	(tan (* PI l))

simplify115.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 4 (106.0ms)

Iter	Nodes	Cost
0	204	868
1	415	842
2	1097	824
3	3690	791
4	5001	779

prune434.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 14.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt F)
0.6b	(cbrt F)
0.6b	(cbrt F)
30.2b	(tan (* PI l))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 41

Calls

4 calls:

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

series568.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt F)
168.0ms	(cbrt F)
173.0ms	(cbrt F)
57.0ms	(tan (* PI l))

simplify112.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	97	172
1	231	158
2	774	152
3	3506	152
4	5002	152

prune263.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 14.0b

regimes380.0ms

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	36	34
1	36	34

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.5s	823×	body	2560	valid
1.2s	1624×	body	1280	valid
370.0ms	1043×	body	640	valid
312.0ms	4520×	body	80	valid
230.0ms	10×	body	10240	exit
89.0ms	398×	body	320	valid
33.0ms	213×	body	160	valid