Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ x (+ x y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`associate-/r*` `distribute-lft-out`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

5.0ms

(/ x (+ x y))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(/ x (+ x y))

simplify83.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	118	153
1	378	144
2	1024	144
3	3620	144
4	5001	144

prune52.0ms

Filtered

36 candidates to 25 candidates (69.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	32	4	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	5	37

Merged error: 0b

Counts

37 → 5

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ x y))
0.2b	(* x (/ 1 (+ x y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
26×	`times-frac`
20×	`add-cube-cbrt`
18×	`associate-r`
15×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`distribute-lft-out`
5×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r*` `associate-/r/`
3×	`associate-l` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3-+` `1-exp` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

2 → 78

Calls

2 calls:

5.0ms	(/ 1 (+ x y))
10.0ms	(* x (/ 1 (+ x y)))

series73.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ 1 (+ x y))
39.0ms	(* x (/ 1 (+ x y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	226	346
1	996	296
2	3433	258
3	5001	258

prune77.0ms

Filtered

84 candidates to 44 candidates (52.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0b

Counts

89 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite12.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series727.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(* (cbrt x) (cbrt x))
170.0ms	(cbrt x)
165.0ms	(cbrt x)
201.0ms	(cbrt x)

simplify87.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune166.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	85	5	90

Merged error: 0b

Counts

90 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

3.8b	(- (* x x) (* y y))
7.3b	(* (/ x (- (* x x) (* y y))) (- x y))
18.0b	(/ x (- (* x x) (* y y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
25×	`times-frac`
23×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
9×	`difference-of-squares`
5×	`pow1` `flip3--` `associate-r` `flip--` `add-log-exp`
4×	`associate-/r*` `associate-/r/`
3×	`sub-neg` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `distribute-lft-in` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `diff-log` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `distribute-lft-out--`

Counts

3 → 93

Calls

3 calls:

3.0ms	(- (* x x) (* y y))
13.0ms	(* (/ x (- (* x x) (* y y))) (- x y))
5.0ms	(/ x (- (* x x) (* y y)))

series145.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- (* x x) (* y y))
60.0ms	(* (/ x (- (* x x) (* y y))) (- x y))
51.0ms	(/ x (- (* x x) (* y y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	361	733
1	1824	666
2	5001	597

prune153.0ms

Filtered

102 candidates to 77 candidates (75.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	102	5	107

Merged error: 0b

Counts

107 → 5

regimes55.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

end0.0ms

sample285.0ms

Algorithm

intervals

Results

155.0ms

8000×

body

valid