Details

sample467.0ms

Algorithm

intervals

Results

91.0ms	22×	body	2560	valid
43.0ms	55×	body	1280	valid
10.0ms	151×	body	80	valid
8.0ms	24×	body	640	valid
3.0ms	14×	body	320	valid
2.0ms	10×	body	160	valid

simplify19.0ms

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

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:

0.2b	(* PI l)
0.4b	(/ 1.0 (* F F))
3.5b	(* (/ 1.0 (* F F)) (tan (* PI l)))
29.0b	(tan (* PI l))

rewrite74.0ms

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:

6.0ms	(* PI l)
8.0ms	(/ 1.0 (* F F))
47.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
9.0ms	(tan (* PI l))

series236.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* PI l)
22.0ms	(/ 1.0 (* F F))
119.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
73.0ms	(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

prune241.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 12.3b

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)))
29.0b	(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×	`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:

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

series242.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* PI l)
18.0ms	(* PI l)
148.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
59.0ms	(tan (* PI l))

simplify94.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (87.0ms)

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

prune352.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 12.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* (cbrt 1.0) (tan (* PI l))) F)
0.2b	(* PI l)
0.2b	(* PI l)
29.0b	(tan (* PI l))

rewrite42.0ms

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:

20.0ms	(/ (* (cbrt 1.0) (tan (* PI l))) F)
6.0ms	(* PI l)
6.0ms	(* PI l)
8.0ms	(tan (* PI l))

series248.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(/ (* (cbrt 1.0) (tan (* PI l))) F)
21.0ms	(* PI l)
18.0ms	(* PI l)
59.0ms	(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

prune271.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 12.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt l)
0.6b	(cbrt l)
0.6b	(cbrt l)
28.9b	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

rewrite53.0ms

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 l)
1.0ms	(cbrt l)
1.0ms	(cbrt l)
50.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

series593.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt l)
171.0ms	(cbrt l)
174.0ms	(cbrt l)
79.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

simplify198.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	111	258
1	276	234
2	926	218
3	4988	218
4	5001	218

prune231.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 12.2b

regimes497.0ms

Accuracy

0% (0.5b remaining)

Error of 12.9b against oracle of 12.3b and baseline of 12.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	23
1	28	23

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.5s	829×	body	2560	valid
1.2s	1684×	body	1280	valid
330.0ms	950×	body	640	valid
299.0ms	4502×	body	80	valid
85.0ms	379×	body	320	valid
70.0ms	3×	body	10240	exit
35.0ms	234×	body	160	valid