Details

analyze268.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
31.2%	68.6%	0.1%	7
40.6%	59.3%	0.1%	8
43.7%	56.2%	0.1%	9
56.6%	43.3%	0.1%	10
61%	37.3%	1.7%	11
62.1%	34.8%	3.1%	12
68.6%	25.6%	5.8%	13
70.6%	22.1%	7.4%	14

sample18.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	41×	body	80	invalid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	702	7
1	702	7

prune3.0ms

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

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

series12.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify33.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5462	519

prune71.0ms

Filtered

40 candidates to 57 candidates (-42.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	4	58

Merged error: 0.0b

Counts

58 → 4

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)))
9.0ms	(* (- y x) (/ 1 z))

series12.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ x (* (- y x) (/ 1 z)))
6.0ms	(* (- y x) (/ 1 z))

simplify32.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5306	478

prune65.0ms

Filtered

38 candidates to 59 candidates (-55.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	59	4	63

Merged error: 0.0b

Counts

63 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

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:

4.0ms	(+ x (* (/ 1 (sqrt z)) (/ (- y x) (sqrt z))))
6.0ms	(/ (- y x) (sqrt z))
4.0ms	(/ 1 (sqrt z))
26.0ms	(* (/ 1 (sqrt z)) (/ (- y x) (sqrt z)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ x (* (/ 1 (sqrt z)) (/ (- y x) (sqrt z))))
11.0ms	(/ (- y x) (sqrt z))
6.0ms	(/ 1 (sqrt z))
11.0ms	(* (/ 1 (sqrt z)) (/ (- y x) (sqrt z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5259	2182

prune211.0ms

Filtered

121 candidates to 219 candidates (-81.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	219	4	223

Merged error: 0.0b

Counts

223 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
46×	`add-sqr-sqrt`
34×	`sqrt-prod`
24×	`add-cube-cbrt`
21×	`pow1`
16×	`sqrt-div`
15×	`times-frac`
11×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
8×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
5×	`pow-prod-up` `associate-/l*`
4×	`frac-times` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`
3×	`pow-prod-down` `associate-/r*` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `flip3--` `frac-2neg` `pow-plus` `sqrt-unprod` `div-sub` `div-exp` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `flip--` `cbrt-unprod` `div-inv`

Counts

4 → 132

Calls

4 calls:

8.0ms	(/ (- y x) z)
8.0ms	(sqrt (+ x (/ (- y x) z)))
8.0ms	(sqrt (+ x (/ (- y x) z)))
21.0ms	(* (sqrt (+ x (/ (- y x) z))) (sqrt (+ x (/ (- y x) z))))

series91.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ (- y x) z)
40.0ms	(sqrt (+ x (/ (- y x) z)))
39.0ms	(sqrt (+ x (/ (- y x) z)))
6.0ms	(* (sqrt (+ x (/ (- y x) z))) (sqrt (+ x (/ (- y x) z))))

simplify47.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4961	1576
1	4961	1576

prune120.0ms

Filtered

84 candidates to 144 candidates (-71.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	143	5	148

Merged error: 0b

Counts

148 → 5

regimes214.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

end0.0ms

sample458.0ms

Algorithm

intervals

Results

214.0ms	8000×	body	80	valid
36.0ms	1248×	body	80	invalid

Details

analyze268.0ms

sample18.0ms

simplify35.0ms

prune3.0ms

localize5.0ms

rewrite15.0ms

series12.0ms

simplify33.0ms

prune71.0ms

localize6.0ms

rewrite15.0ms

series12.0ms

simplify32.0ms

prune65.0ms

localize9.0ms

rewrite49.0ms

series41.0ms

simplify48.0ms

prune211.0ms

localize7.0ms

rewrite50.0ms

series91.0ms

simplify47.0ms

prune120.0ms

regimes214.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample458.0ms

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