Details

sample91.0ms

Algorithm

intervals

Results

43.0ms	70×	body	1280	valid
16.0ms	40×	body	640	valid
14.0ms	135×	body	80	valid
5.0ms	18×	body	320	valid
3.0ms	15×	body	160	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	18	7
1	33	6
2	43	6
3	54	6
4	60	6
5	62	6
6	62	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1.0 (sin B))
0.1b	(fma (- x) (/ 1.0 (tan B)) (/ 1.0 (sin B)))
0.2b	(/ 1.0 (tan B))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r` `associate-/l`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`tan-quot` `associate-/r/` `fma-udef`

Counts

3 → 69

Calls

3 calls:

2.0ms	(/ 1.0 (sin B))
0.0ms	(fma (- x) (/ 1.0 (tan B)) (/ 1.0 (sin B)))
2.0ms	(/ 1.0 (tan B))

series154.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(/ 1.0 (sin B))
95.0ms	(fma (- x) (/ 1.0 (tan B)) (/ 1.0 (sin B)))
40.0ms	(/ 1.0 (tan B))

simplify58.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	246	416
1	694	382
2	2127	382
3	5002	377

prune229.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1.0 (sin B))
0.2b	(* x (cos B))
0.2b	(* (/ 1.0 (sin B)) (- 1 (* x (cos B))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
16×	`associate-l`
12×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
6×	`associate-r` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
3×	`expm1-log1p-u` `prod-exp` `associate-/r` `cbrt-unprod` `log1p-expm1-u` `associate-/l` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `sub-neg` `flip3--` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `flip--` `div-inv`
1×	`frac-2neg` `associate-*l/` `clear-num`

Counts

3 → 97

Calls

3 calls:

2.0ms	(/ 1.0 (sin B))
3.0ms	(* x (cos B))
14.0ms	(* (/ 1.0 (sin B)) (- 1 (* x (cos B))))

series130.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(/ 1.0 (sin B))
35.0ms	(* x (cos B))
76.0ms	(* (/ 1.0 (sin B)) (- 1 (* x (cos B))))

simplify55.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	415	714
1	2101	633
2	5001	629

prune247.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (- 1 (* x (cos B))) (sin B))
0.2b	(* x (cos B))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

2 → 52

Calls

2 calls:

7.0ms	(/ (- 1 (* x (cos B))) (sin B))
4.0ms	(* x (cos B))

series103.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(/ (- 1 (* x (cos B))) (sin B))
40.0ms	(* x (cos B))

simplify75.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	201	379
1	822	347
2	3341	343
3	5002	342

prune147.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos B)) (cbrt (cos B)))
0.4b	(cbrt (cos B))
0.4b	(cbrt (cos B))
0.4b	(cbrt (cos B))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (cos B)) (cbrt (cos B)))
1.0ms	(cbrt (cos B))
1.0ms	(cbrt (cos B))
1.0ms	(cbrt (cos B))

series456.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (cbrt (cos B)) (cbrt (cos B)))
97.0ms	(cbrt (cos B))
98.0ms	(cbrt (cos B))
101.0ms	(cbrt (cos B))

simplify102.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	128	471
1	498	419
2	3230	387
3	5002	381

prune261.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes56.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	1711×	body	1280	valid
551.0ms	1384×	body	640	valid
516.0ms	4980×	body	80	valid
207.0ms	719×	body	320	valid
93.0ms	388×	body	160	valid