Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

314×

body

valid

simplify174.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	31	3
3	46	3
4	53	3
5	62	3
6	80	3
7	118	3
8	235	3
9	467	3
10	832	3
11	1212	3
12	1786	3
13	3407	3
14	5002	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 1 expressions with local error:

0.0b	(* (- y x) z)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-l*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

6.0ms

(* (- y x) z)

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(* (- y x) z)

simplify35.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	104	88
1	365	76
2	1613	76
3	5001	76

prune36.0ms

Filtered

25 candidates to 17 candidates (68.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	4	26

Merged error: 0b

Counts

26 → 4

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)))
2.5b	(sqrt (* (- y x) z))
2.5b	(sqrt (* (- y x) z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-l` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

6.0ms	(* (- y x) z)
13.0ms	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
5.0ms	(sqrt (* (- y x) z))
8.0ms	(sqrt (* (- y x) z))

series559.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- y x) z)
60.0ms	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
223.0ms	(sqrt (* (- y x) z))
248.0ms	(sqrt (* (- y x) z))

simplify46.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	257	515
1	1117	463
2	5002	440

prune179.0ms

Filtered

117 candidates to 67 candidates (57.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	117	4	121

Merged error: 0b

Counts

121 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) z)
0.3b	(pow (* (- y x) z) 3)
36.6b	(cbrt (pow (* (- y x) z) 3))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
8×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt`
6×	`associate-*l/`
5×	`associate-l`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `associate-r` `flip--` `add-log-exp`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `*-commutative` `rem-cbrt-cube` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

6.0ms	(* (- y x) z)
6.0ms	(pow (* (- y x) z) 3)
3.0ms	(cbrt (pow (* (- y x) z) 3))

series129.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* (- y x) z)
40.0ms	(pow (* (- y x) z) 3)
56.0ms	(cbrt (pow (* (- y x) z) 3))

simplify44.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	264	313
1	1262	296
2	5001	295

prune127.0ms

Filtered

74 candidates to 51 candidates (68.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	74	4	78

Merged error: 0b

Counts

78 → 4

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- y x) (sqrt z))
0.1b	(* (* (- y x) (sqrt z)) (sqrt z))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
9×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
7×	`add-cube-cbrt` `sqrt-prod`
6×	`associate-l` `associate-*l/`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

13.0ms	(* (- y x) (sqrt z))
17.0ms	(* (* (- y x) (sqrt z)) (sqrt z))

series101.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* (- y x) (sqrt z))
51.0ms	(* (* (- y x) (sqrt z)) (sqrt z))

simplify72.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	206	286
1	879	238
2	3613	231
3	5002	231

prune75.0ms

Filtered

55 candidates to 34 candidates (61.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	55	4	59

Merged error: 0b

Counts

59 → 4

regimes74.0ms

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	3
1	8	3

end0.0ms

sample429.0ms

Algorithm

intervals

Results

227.0ms

10196×

body

valid