Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

326×

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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:

6.0ms	(/ (- y x) z)
11.0ms	(+ x (/ (- y x) z))

series49.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (- y x) z)
21.0ms	(+ x (/ (- y x) z))

simplify59.0ms

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

prune83.0ms

Filtered

57 candidates to 40 candidates (70.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	53	4	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	5	58

Merged error: 0b

Counts

58 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ z (- y x))
0.0b	(+ x (/ 1 (/ z (- y x))))
0.7b	(/ 1 (/ z (- y x)))

rewrite48.0ms

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:

5.0ms	(/ z (- y x))
21.0ms	(+ x (/ 1 (/ z (- y x))))
14.0ms	(/ 1 (/ z (- y x)))

series80.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ z (- y x))
19.0ms	(+ x (/ 1 (/ z (- y x))))
30.0ms	(/ 1 (/ z (- y x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (34.0ms)

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

prune172.0ms

Filtered

167 candidates to 84 candidates (50.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	167	5	172

Merged error: 0b

Counts

172 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
11×	`add-exp-log` `times-frac`
10×	`add-cube-cbrt`
7×	`add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `prod-exp` `add-log-exp`
3×	`unswap-sqr`
2×	`frac-times` `flip3--` `div-exp` `associate-*l/` `flip--` `cbrt-unprod`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `flip3-+` `1-exp` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 53

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ 1 z)))
10.0ms	(* (- y x) (/ 1 z))

series50.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ x (* (- y x) (/ 1 z)))
25.0ms	(* (- y x) (/ 1 z))

simplify34.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	296	305
1	1237	264
2	5001	250

prune80.0ms

Filtered

59 candidates to 40 candidates (67.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	59	5	64

Merged error: 0b

Counts

64 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- y x) z)
0.2b	(* (sqrt (/ (- y x) z)) (sqrt (/ (- y x) z)))
3.3b	(sqrt (/ (- y x) z))
3.3b	(sqrt (/ (- y x) z))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

154×	`add-sqr-sqrt`
140×	`sqrt-prod`
138×	`*-un-lft-identity`
125×	`times-frac`
76×	`add-cube-cbrt`
30×	`swap-sqr`
28×	`distribute-lft-out--`
22×	`associate-r` `associate-l` `difference-of-squares`
21×	`pow1`
10×	`sqrt-pow1` `pow1/2`
9×	`unswap-sqr`
8×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv`
6×	`sqrt-div`
5×	`pow-prod-up` `associate-/l*`
4×	`rem-sqrt-square` `add-log-exp`
3×	`pow-prod-down` `associate-/r*` `pow-sqr`
2×	`associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-times` `flip3--` `frac-2neg` `pow-plus` `sqrt-unprod` `div-sub` `associate-r/` `div-exp` `associate-l/` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `flip--` `cbrt-unprod`

Counts

4 → 211

Calls

4 calls:

6.0ms	(/ (- y x) z)
21.0ms	(* (sqrt (/ (- y x) z)) (sqrt (/ (- y x) z)))
5.0ms	(sqrt (/ (- y x) z))
5.0ms	(sqrt (/ (- y x) z))

series218.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (- y x) z)
72.0ms	(* (sqrt (/ (- y x) z)) (sqrt (/ (- y x) z)))
62.0ms	(sqrt (/ (- y x) z))
59.0ms	(sqrt (/ (- y x) z))

simplify65.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	385	1377
1	1865	1289
2	5002	1270

prune369.0ms

Filtered

223 candidates to 140 candidates (62.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	223	0	223
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	223	5	228

Merged error: 0b

Counts

228 → 5

regimes75.0ms

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

sample434.0ms

Algorithm

intervals

Results

234.0ms

10132×

body

valid