Details

sample44.0ms

Algorithm

intervals

Results

12.0ms	37×	body	1280	valid
11.0ms	184×	body	80	valid
8.0ms	35×	body	640	valid
3.0ms	16×	body	320	valid
1.0ms	10×	body	160	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	24	4
2	48	4
3	71	4
4	79	4
5	79	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
1.8b	(/ (* x (/ (sin y) y)) z)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 83

Calls

3 calls:

11.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)
5.0ms	(/ (* x (/ (sin y) y)) z)

series140.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* x (/ (sin y) y))
27.0ms	(/ (sin y) y)
64.0ms	(/ (* x (/ (sin y) y)) z)

simplify44.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	326	487
1	1643	420
2	5001	420

prune194.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (* (sin y) (/ 1 y)))
0.3b	(* (sin y) (/ 1 y))
1.8b	(/ (* x (* (sin y) (/ 1 y))) z)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
31×	`add-cbrt-cube`
22×	`prod-exp`
21×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
14×	`add-cube-cbrt` `times-frac` `associate-r`
12×	`div-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv` `associate-*r/`
6×	`associate-l`
4×	`pow-prod-down`
3×	`rec-exp` `1-exp` `associate-/r*` `un-div-inv` `add-log-exp` `unswap-sqr`
2×	`*-commutative` `div-inv` `associate-/l/`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

3 → 89

Calls

3 calls:

15.0ms	(* x (* (sin y) (/ 1 y)))
9.0ms	(* (sin y) (/ 1 y))
14.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

series142.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* x (* (sin y) (/ 1 y)))
28.0ms	(* (sin y) (/ 1 y))
65.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

simplify52.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	415	565
1	2095	432
2	5002	410

prune171.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
0.4b	(/ 1 (/ z (* x (/ (sin y) y))))
1.9b	(/ z (* x (/ (sin y) y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
54×	`add-exp-log`
44×	`add-sqr-sqrt`
39×	`add-cube-cbrt` `*-un-lft-identity`
34×	`add-cbrt-cube`
26×	`div-exp`
14×	`cbrt-undiv`
13×	`associate-r`
12×	`associate-/r*`
10×	`prod-exp`
9×	`associate-/l*`
8×	`div-inv`
7×	`pow1`
6×	`associate-*r/` `associate-/r/` `cbrt-unprod`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 147

Calls

4 calls:

8.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)
10.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
5.0ms	(/ z (* x (/ (sin y) y)))

series241.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* x (/ (sin y) y))
28.0ms	(/ (sin y) y)
65.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
97.0ms	(/ z (* x (/ (sin y) y)))

simplify72.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	508	1006
1	2791	859
2	5002	818

prune267.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

1.8b	(/ (* x (/ (sin y) y)) z)
12.8b	(cbrt (/ (* x (/ (sin y) y)) z))
12.8b	(cbrt (/ (* x (/ (sin y) y)) z))
12.8b	(cbrt (/ (* x (/ (sin y) y)) z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
13×	`add-exp-log` `add-cbrt-cube`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
4×	`pow1` `cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/r*`
2×	`prod-exp` `cbrt-unprod`
1×	`frac-2neg` `associate-r/` `clear-num` `associate-/l/` `associate-/l`

Counts

4 → 72

Calls

4 calls:

5.0ms	(/ (* x (/ (sin y) y)) z)
3.0ms	(cbrt (/ (* x (/ (sin y) y)) z))
3.0ms	(cbrt (/ (* x (/ (sin y) y)) z))
3.0ms	(cbrt (/ (* x (/ (sin y) y)) z))

series473.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ (* x (/ (sin y) y)) z)
138.0ms	(cbrt (/ (* x (/ (sin y) y)) z))
136.0ms	(cbrt (/ (* x (/ (sin y) y)) z))
134.0ms	(cbrt (/ (* x (/ (sin y) y)) z))

simplify37.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	286	686
1	1213	617
2	5002	575

prune265.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes251.0ms

Accuracy

88.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.9b

bsearch60.0ms

Steps

Iters	Range		Point
7	8.161754738022101e-44	4.7404342423033475e-42	9.693128553307307e-43
3	-2.646410851444472e-51	-2.2024985200537716e-51	-2.341221123613366e-51

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	9
1	26	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

376.0ms	1117×	body	1280	valid
355.0ms	5782×	body	80	valid
230.0ms	1015×	body	640	valid
84.0ms	511×	body	320	valid
36.0ms	299×	body	160	valid