Details

sample260.0ms

Algorithm

intervals

Results

7.0ms

326×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	2
1	15	2
2	15	2

prune3.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`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` `cbrt-unprod` `flip-+` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

8.0ms

(* (+ x y) z)

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(* (+ x y) z)

simplify39.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	106	84
1	411	72
2	1811	72
3	5003	72

prune49.0ms

Filtered

24 candidates to 16 candidates (66.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	4	25

Merged error: 0b

Counts

25 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

1.7b	(- (* x x) (* y y))
12.4b	(* (- (* x x) (* y y)) z)
15.7b	(/ (* (- (* x x) (* y y)) z) (- x y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

4.0ms	(- (* x x) (* y y))
7.0ms	(* (- (* x x) (* y y)) z)
9.0ms	(/ (* (- (* x x) (* y y)) z) (- x y))

series131.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- (* x x) (* y y))
41.0ms	(* (- (* x x) (* y y)) z)
56.0ms	(/ (* (- (* x x) (* y y)) z) (- x y))

simplify45.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	302	480
1	1573	406
2	5001	397

prune112.0ms

Filtered

72 candidates to 50 candidates (69.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	72	4	76

Merged error: 0b

Counts

76 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.3b	(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
2.5b	(sqrt (* (+ x y) z))
2.5b	(sqrt (* (+ x y) z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`sqrt-div`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`add-exp-log` `associate-l` `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`

Counts

4 → 104

Calls

4 calls:

6.0ms	(* (+ x y) z)
13.0ms	(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
4.0ms	(sqrt (* (+ x y) z))
4.0ms	(sqrt (* (+ x y) z))

series239.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (+ x y) z)
21.0ms	(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
96.0ms	(sqrt (* (+ x y) z))
96.0ms	(sqrt (* (+ x y) z))

simplify46.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	262	526
1	1227	461
2	5001	441

prune168.0ms

Filtered

116 candidates to 66 candidates (56.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	116	4	120

Merged error: 0b

Counts

120 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sqrt (+ x y)) z)
0.2b	(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

14×	`sqrt-div` `associate-l`
11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`associate-*l/`
9×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt` `flip3-+` `flip-+`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-r/` `-commutative` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

7.0ms	(* (sqrt (+ x y)) z)
11.0ms	(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

series101.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(* (sqrt (+ x y)) z)
42.0ms	(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

simplify84.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	264	385
1	909	321
2	3687	318
3	5001	318

prune96.0ms

Filtered

61 candidates to 40 candidates (65.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	61	4	65

Merged error: 0b

Counts

65 → 4

regimes86.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	2
1	7	2

end0.0ms

sample362.0ms

Algorithm

intervals

Results

168.0ms

10069×

body

valid