Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

316×

body

valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	28	3
3	40	3
4	50	3
5	73	3
6	102	3
7	118	3
8	145	3
9	174	3
10	190	3
11	190	3

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

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) z))
0.0b	(/ (- y x) z)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `div-sub` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 51

Calls

2 calls:

8.0ms	(+ x (/ (- y x) z))
6.0ms	(/ (- y x) z)

series48.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ x (/ (- y x) z))
27.0ms	(/ (- y x) z)

simplify61.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	221	273
1	676	261
2	2904	261
3	5002	261

prune89.0ms

Filtered

57 candidates to 40 candidates (70.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	3	58

Merged error: 0b

Counts

58 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (- (/ y z) (/ x z)))
0.0b	(- (/ y z) (/ x z))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
10×	`times-frac`
9×	`add-log-exp`
5×	`distribute-lft-out--`
4×	`add-cube-cbrt` `difference-of-squares`
2×	`pow1` `add-exp-log` `sub-neg` `associate-+r+` `diff-log` `sum-log` `add-cbrt-cube` `div-inv` `distribute-lft-out`
1×	`+-commutative` `associate-+r-` `flip3--` `distribute-rgt-out--` `flip3-+` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

2 → 40

Calls

2 calls:

15.0ms	(+ x (- (/ y z) (/ x z)))
12.0ms	(- (/ y z) (/ x z))

series45.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ x (- (/ y z) (/ x z)))
23.0ms	(- (/ y z) (/ x z))

simplify41.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	180	259
1	452	249
2	1639	249
3	5002	249

prune63.0ms

Filtered

46 candidates to 32 candidates (69.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	46	3	49

Merged error: 0b

Counts

49 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1 (/ z (- y x))))
0.0b	(/ z (- y x))
0.3b	(/ 1 (/ z (- y x)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
106×	`*-un-lft-identity`
103×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`div-inv`
6×	`associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

3 → 158

Calls

3 calls:

19.0ms	(+ x (/ 1 (/ z (- y x))))
5.0ms	(/ z (- y x))
9.0ms	(/ 1 (/ z (- y x)))

series80.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+ x (/ 1 (/ z (- y x))))
28.0ms	(/ z (- y x))
32.0ms	(/ 1 (/ z (- y x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	493	1143
1	2183	918
2	5001	903

prune173.0ms

Filtered

167 candidates to 86 candidates (51.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	167	3	170

Merged error: 0b

Counts

170 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- y x) z)
0.0b	(sqrt (+ x (/ (- y x) z)))
0.0b	(sqrt (+ x (/ (- y x) z)))
0.2b	(* (sqrt (+ x (/ (- y x) z))) (sqrt (+ x (/ (- y x) z))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
46×	`add-sqr-sqrt`
34×	`sqrt-prod`
24×	`add-cube-cbrt`
21×	`pow1`
16×	`sqrt-div`
15×	`times-frac`
11×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
8×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
5×	`pow-prod-up` `associate-/l*`
4×	`frac-times` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`
3×	`pow-prod-down` `associate-/r*` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `flip3--` `frac-2neg` `pow-plus` `sqrt-unprod` `div-sub` `div-exp` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `flip--` `cbrt-unprod` `div-inv`

Counts

4 → 132

Calls

4 calls:

6.0ms	(/ (- y x) z)
8.0ms	(sqrt (+ x (/ (- y x) z)))
8.0ms	(sqrt (+ x (/ (- y x) z)))
21.0ms	(* (sqrt (+ x (/ (- y x) z))) (sqrt (+ x (/ (- y x) z))))

series323.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (- y x) z)
137.0ms	(sqrt (+ x (/ (- y x) z)))
137.0ms	(sqrt (+ x (/ (- y x) z)))
23.0ms	(* (sqrt (+ x (/ (- y x) z))) (sqrt (+ x (/ (- y x) z))))

simplify50.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	345	934
1	1350	843
2	5001	824

prune210.0ms

Filtered

144 candidates to 83 candidates (57.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	144	3	147

Merged error: 0b

Counts

147 → 3

regimes58.0ms

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	8	4
1	8	4

end0.0ms

sample403.0ms

Algorithm

intervals

Results

200.0ms

10077×

body

valid