Details

sample385.0ms

Algorithm

intervals

Results

57.0ms	18×	body	2560	valid
39.0ms	57×	body	1280	valid
11.0ms	156×	body	80	valid
8.0ms	26×	body	640	valid
4.0ms	15×	body	320	valid
0.0ms	1×	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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.6b	(/ 1.0 (* F F))
3.7b	(* (/ 1.0 (* F F)) (tan (* PI l)))
27.2b	(tan (* PI l))

rewrite35.0ms

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

series252.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
24.0ms	(/ 1.0 (* F F))
135.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
73.0ms	(tan (* PI l))

simplify43.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (8.0ms)

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

prune212.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.3b

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)))
27.2b	(tan (* PI l))

rewrite24.0ms

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:

3.0ms	(* PI l)
3.0ms	(* PI l)
14.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series269.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
19.0ms	(* PI l)
167.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
64.0ms	(tan (* PI l))

simplify92.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 3 (86.0ms)

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

prune322.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 9.2b

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)
27.2b	(tan (* PI l))

rewrite15.0ms

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×	`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 → 66

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))

series274.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(/ (* (cbrt 1.0) (tan (* PI l))) F)
19.0ms	(* PI l)
19.0ms	(* PI l)
65.0ms	(tan (* PI l))

simplify122.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	254	340
1	1034	299
2	4729	299
3	5002	299

prune239.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 9.2b

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt PI)
1.0b	(cbrt PI)
1.0b	(* (cbrt PI) (cbrt PI))
27.6b	(tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod` `add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
8×	`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×	`tan-quot` `pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 70

Calls

4 calls:

0.0ms	(cbrt PI)
0.0ms	(cbrt PI)
5.0ms	(* (cbrt PI) (cbrt PI))
8.0ms	(tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))

series69.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt PI)
0.0ms	(cbrt PI)
0.0ms	(* (cbrt PI) (cbrt PI))
69.0ms	(tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))

simplify51.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	134	358
1	451	323
2	1691	293
3	5002	290

prune224.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 9.2b

regimes336.0ms

Accuracy

0% (0.3b remaining)

Error of 12.2b against oracle of 11.9b and baseline of 12.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	20
1	26	20

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.3s	745×	body	2560	valid
1.2s	1721×	body	1280	valid
364.0ms	996×	body	640	valid
300.0ms	4506×	body	80	valid
140.0ms	6×	body	10240	exit
95.0ms	410×	body	320	valid
30.0ms	197×	body	160	valid