Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

315×

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

prune1.0ms

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

rewrite15.0ms

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:

5.0ms	(/ (- y x) z)
8.0ms	(+ x (/ (- y x) z))

series47.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (- y x) z)
22.0ms	(+ x (/ (- y x) z))

simplify60.0ms

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

prune86.0ms

Filtered

57 candidates to 40 candidates (70.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Merged error: 0.0b

Counts

58 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
7×	`add-sqr-sqrt`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3-+` `diff-log` `sum-log` `frac-sub` `add-cbrt-cube` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `times-frac` `associate--l+` `flip--`

Counts

2 → 32

Calls

2 calls:

5.0ms	(+ x (/ y z))
11.0ms	(- (+ x (/ y z)) (/ x z))

series38.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+ x (/ y z))
22.0ms	(- (+ x (/ y z)) (/ x z))

simplify47.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	163	232
1	498	222
2	1742	217
3	5001	217

prune50.0ms

Filtered

38 candidates to 25 candidates (65.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	38	3	41

Merged error: 0.0b

Counts

41 → 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)))

rewrite41.0ms

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:

18.0ms	(+ x (/ 1 (/ z (- y x))))
5.0ms	(/ z (- y x))
11.0ms	(/ 1 (/ z (- y x)))

series80.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+ x (/ 1 (/ z (- y x))))
30.0ms	(/ z (- y x))
31.0ms	(/ 1 (/ z (- y x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (35.0ms)

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

prune172.0ms

Filtered

167 candidates to 85 candidates (50.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	166	1	167
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	166	4	170

Merged error: 0.0b

Counts

170 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ z (- y x))) (cbrt (/ z (- y x))))
4.4b	(cbrt (/ z (- y x)))
4.4b	(cbrt (/ z (- y x)))
4.4b	(cbrt (/ z (- y x)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

171×	`cbrt-prod`
141×	`add-sqr-sqrt`
135×	`*-un-lft-identity`
123×	`times-frac`
75×	`add-cube-cbrt`
30×	`swap-sqr`
27×	`distribute-lft-out--`
24×	`associate-r` `associate-l`
21×	`difference-of-squares`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 198

Calls

4 calls:

24.0ms	(* (cbrt (/ z (- y x))) (cbrt (/ z (- y x))))
5.0ms	(cbrt (/ z (- y x)))
5.0ms	(cbrt (/ z (- y x)))
5.0ms	(cbrt (/ z (- y x)))

series661.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(* (cbrt (/ z (- y x))) (cbrt (/ z (- y x))))
155.0ms	(cbrt (/ z (- y x)))
162.0ms	(cbrt (/ z (- y x)))
160.0ms	(cbrt (/ z (- y x)))

simplify59.0ms

Algorithm

egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	375	2039
1	1276	1986
2	5001	1901

prune508.0ms

Filtered

210 candidates to 156 candidates (74.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	209	1	210
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	209	5	214

Merged error: 0b

Counts

214 → 5

regimes79.0ms

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	7	3
1	7	3

end0.0ms

sample449.0ms

Algorithm

intervals

Results

241.0ms

10156×

body

valid