Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

327×

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

6.0ms	(/ (- y x) z)
9.0ms	(+ x (/ (- y x) z))

series47.0ms

Counts

2 → 6

Calls

2 calls:

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

prune101.0ms

Filtered

57 candidates to 40 candidates (70.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	2	58

Merged error: 0b

Counts

58 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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:

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

series37.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(- (+ x (/ y z)) (/ x z))
16.0ms	(+ x (/ y z))

simplify43.0ms

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

prune65.0ms

Filtered

38 candidates to 25 candidates (65.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	38	2	40

Merged error: 0b

Counts

40 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (/ 1 (sqrt z)) (/ (- y x) (sqrt z))))
0.1b	(/ 1 (sqrt z))
0.1b	(/ (- y x) (sqrt z))
0.2b	(* (/ 1 (sqrt z)) (/ (- y x) (sqrt z)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

140×	`add-sqr-sqrt`
118×	`times-frac`
100×	`*-un-lft-identity`
68×	`add-cube-cbrt`
65×	`sqrt-prod`
34×	`associate-r`
32×	`add-exp-log`
22×	`associate-l`
20×	`add-cbrt-cube`
15×	`unswap-sqr`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
11×	`div-exp`
8×	`pow1` `prod-exp` `associate-/l*`
6×	`cbrt-undiv` `add-log-exp`
4×	`cbrt-unprod` `div-inv`
3×	`rec-exp` `pow-flip` `1-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `frac-times` `flip3--` `sqrt-pow1` `flip3-+` `pow1/2` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `sum-log` `*-commutative` `flip--` `flip-+` `inv-pow`

Counts

4 → 207

Calls

4 calls:

3.0ms	(+ x (* (/ 1 (sqrt z)) (/ (- y x) (sqrt z))))
4.0ms	(/ 1 (sqrt z))
7.0ms	(/ (- y x) (sqrt z))
25.0ms	(* (/ 1 (sqrt z)) (/ (- y x) (sqrt z)))

series179.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ x (* (/ 1 (sqrt z)) (/ (- y x) (sqrt z))))
30.0ms	(/ 1 (sqrt z))
53.0ms	(/ (- y x) (sqrt z))
49.0ms	(* (/ 1 (sqrt z)) (/ (- y x) (sqrt z)))

simplify88.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	765	1701
1	3554	1488
2	5001	1378

prune353.0ms

Filtered

219 candidates to 121 candidates (55.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	219	2	221

Merged error: 0b

Counts

221 → 2

regimes38.0ms

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

sample398.0ms

Algorithm

intervals

Results

202.0ms

10137×

body

valid