Details

sample37.0ms

Algorithm

intervals

Results

9.0ms	230×	body	80	valid
4.0ms	26×	body	1280	valid
3.0ms	26×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	5×	body	2560	valid
1.0ms	12×	body	160	valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	20	7
1	64	3
2	191	2
3	1038	2
4	5001	2

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize4.0ms

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-r*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

6.0ms

(* y (- x z))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* y (- x z))

simplify45.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	112	98
1	462	88
2	1883	88
3	5002	88

prune32.0ms

Filtered

17 candidates to 29 candidates (-70.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	26	3	29
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	3	30

Merged error: 0.0b

Counts

30 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* y x) (* y (neg z)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

3.0ms

(+ (* y x) (* y (neg z)))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(+ (* y x) (* y (neg z)))

simplify63.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	106	90
1	438	69
2	1930	66
3	5002	65

prune22.0ms

Filtered

12 candidates to 17 candidates (-41.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	17	3	20

Merged error: 0.0b

Counts

20 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- x z))
0.3b	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
3.5b	(sqrt (* y (- x z)))
3.5b	(sqrt (* y (- x z)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

6.0ms	(* y (- x z))
14.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
4.0ms	(sqrt (* y (- x z)))
4.0ms	(sqrt (* y (- x z)))

series66.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* y (- x z))
28.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
15.0ms	(sqrt (* y (- x z)))
15.0ms	(sqrt (* y (- x z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	255	518
1	1176	477
2	5001	463

prune88.0ms

Filtered

71 candidates to 121 candidates (-70.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	120	4	124

Merged error: 0.0b

Counts

124 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
3.5b	(sqrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (- x z))))
3.5b	(sqrt (* y (- x z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
9×	`pow-prod-down`
7×	`sqrt-pow1`
6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r/`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube` `add-log-exp`
2×	`flip3--` `pow1/2` `pow1/3` `sqrt-prod` `flip--`

Counts

4 → 51

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
10.0ms	(sqrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (- x z))))
4.0ms	(sqrt (* y (- x z)))

series76.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
21.0ms	(cbrt y)
18.0ms	(sqrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (- x z))))
17.0ms	(sqrt (* y (- x z)))

simplify42.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	204	318
1	479	299
2	1480	223
3	5001	221

prune62.0ms

Filtered

50 candidates to 63 candidates (-26.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	63	4	67

Merged error: 0.0b

Counts

67 → 4

regimes142.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	16	4
2	17	4
3	17	4

end0.0ms

sample1.0s

Algorithm

intervals

Results

244.0ms	6851×	body	80	valid
162.0ms	1015×	body	1280	valid
127.0ms	979×	body	640	valid
58.0ms	611×	body	320	valid
39.0ms	210×	body	2560	valid
23.0ms	357×	body	160	valid

Details

sample37.0ms

simplify45.0ms

prune7.0ms

localize4.0ms

rewrite6.0ms

series7.0ms

simplify45.0ms

prune32.0ms

localize5.0ms

rewrite4.0ms

series7.0ms

simplify63.0ms

prune22.0ms

localize6.0ms

rewrite33.0ms

series66.0ms

simplify52.0ms

prune88.0ms

localize12.0ms

rewrite17.0ms

series76.0ms

simplify42.0ms

prune62.0ms

regimes142.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.0s

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