Details

sample36.0ms

Algorithm

intervals

Results

9.0ms	207×	body	80	valid
8.0ms	27×	body	1280	valid
5.0ms	28×	body	640	valid
2.0ms	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: 2.6b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.6b	(/ (* x (/ (sin y) y)) z)

rewrite19.0ms

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:

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

series157.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* x (/ (sin y) y))
25.0ms	(/ (sin y) y)
73.0ms	(/ (* x (/ (sin y) y)) z)

simplify45.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (10.0ms)

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

prune209.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ z (/ (sin y) y))
0.1b	(/ (sin y) y)
1.7b	(/ x (/ z (/ (sin y) y)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
238×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
60×	`associate-/r*`
23×	`div-inv`
19×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
9×	`associate-/l*`
6×	`associate-/r/`
3×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

3 → 293

Calls

3 calls:

5.0ms	(/ z (/ (sin y) y))
3.0ms	(/ (sin y) y)
13.0ms	(/ x (/ z (/ (sin y) y)))

series180.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(/ z (/ (sin y) y))
31.0ms	(/ (sin y) y)
78.0ms	(/ x (/ z (/ (sin y) y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1110	2950
1	5001	2830

prune850.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (/ 1 (/ (sin y) y)))
0.1b	(/ (sin y) y)
0.1b	(/ 1 (/ (sin y) y))
1.7b	(/ x (* z (/ 1 (/ (sin y) y))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
64×	`add-exp-log`
44×	`associate-r`
34×	`add-cbrt-cube`
30×	`div-exp`
17×	`associate-/r*`
14×	`cbrt-undiv` `prod-exp`
11×	`div-inv`
9×	`associate-/l*`
7×	`pow1`
6×	`rec-exp` `1-exp` `cbrt-unprod`
5×	`unswap-sqr`
4×	`associate-/r/` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`associate-*r/` `un-div-inv`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 207

Calls

4 calls:

21.0ms	(* z (/ 1 (/ (sin y) y)))
6.0ms	(/ (sin y) y)
5.0ms	(/ 1 (/ (sin y) y))
9.0ms	(/ x (* z (/ 1 (/ (sin y) y))))

series203.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* z (/ 1 (/ (sin y) y)))
25.0ms	(/ (sin y) y)
23.0ms	(/ 1 (/ (sin y) y))
83.0ms	(/ x (* z (/ 1 (/ (sin y) y))))

simplify86.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	699	1449
1	3619	1228
2	5002	1098

prune431.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

1.7b	(/ x (* z (/ 1 (/ (sin y) y))))
17.3b	(cbrt (/ x (* z (/ 1 (/ (sin y) y)))))
17.3b	(cbrt (/ x (* z (/ 1 (/ (sin y) y)))))
17.3b	(cbrt (/ x (* z (/ 1 (/ (sin y) y)))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
27×	`cbrt-prod`
18×	`add-cbrt-cube`
15×	`div-exp`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
8×	`associate-/r/`
7×	`cbrt-undiv` `prod-exp`
4×	`pow1` `associate-*r/` `un-div-inv` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `cbrt-unprod` `associate-/l*`
2×	`rec-exp` `1-exp`
1×	`frac-2neg` `clear-num` `associate-/r*`

Counts

4 → 85

Calls

4 calls:

9.0ms	(/ x (* z (/ 1 (/ (sin y) y))))
11.0ms	(cbrt (/ x (* z (/ 1 (/ (sin y) y)))))
8.0ms	(cbrt (/ x (* z (/ 1 (/ (sin y) y)))))
8.0ms	(cbrt (/ x (* z (/ 1 (/ (sin y) y)))))

series505.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(/ x (* z (/ 1 (/ (sin y) y))))
136.0ms	(cbrt (/ x (* z (/ 1 (/ (sin y) y)))))
145.0ms	(cbrt (/ x (* z (/ 1 (/ (sin y) y)))))
143.0ms	(cbrt (/ x (* z (/ 1 (/ (sin y) y)))))

simplify42.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	362	825
1	1537	729
2	5001	701

prune306.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes98.0ms

Accuracy

25.9% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 3.1b

bsearch38.0ms

Steps

Iters	Range		Point
7	-50970157.405274585	-963939.4016731131	-50225608.07832851

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	10
1	21	10

end0.0ms

sample1.1s

Algorithm

intervals

Results

319.0ms	1081×	body	1280	valid
266.0ms	5799×	body	80	valid
201.0ms	1024×	body	640	valid
77.0ms	552×	body	320	valid
34.0ms	307×	body	160	valid