Details

sample32.0ms

Algorithm

intervals

Results

8.0ms	230×	body	80	valid
4.0ms	25×	body	1280	valid
3.0ms	24×	body	640	valid
1.0ms	14×	body	320	valid
1.0ms	19×	body	160	valid
1.0ms	5×	body	2560	valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (10.0ms)

Iter	Nodes	Cost
0	22	6
1	68	4
2	201	3
3	1120	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))

rewrite7.0ms

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

prune42.0ms

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

localize7.0ms

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)))

simplify60.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (58.0ms)

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

prune23.0ms

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)))

rewrite30.0ms

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))
12.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
4.0ms	(sqrt (* y (- x z)))
4.0ms	(sqrt (* y (- x z)))

series65.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* y (- x z))
29.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
14.0ms	(sqrt (* y (- x z)))
15.0ms	(sqrt (* y (- x z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (39.0ms)

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

prune89.0ms

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

localize15.0ms

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)))

series79.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt y)
20.0ms	(cbrt y)
17.0ms	(sqrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (- x z))))
14.0ms	(sqrt (* y (- x z)))

simplify60.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (52.0ms)

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

prune77.0ms

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

regimes139.0ms

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

251.0ms	6850×	body	80	valid
168.0ms	987×	body	1280	valid
114.0ms	875×	body	640	valid
56.0ms	539×	body	320	valid
43.0ms	211×	body	2560	valid
38.0ms	561×	body	160	valid

Details

sample32.0ms

simplify47.0ms

prune7.0ms

localize4.0ms

rewrite7.0ms

series7.0ms

simplify45.0ms

prune42.0ms

localize7.0ms

rewrite4.0ms

series7.0ms

simplify60.0ms

prune23.0ms

localize6.0ms

rewrite30.0ms

series65.0ms

simplify47.0ms

prune89.0ms

localize15.0ms

rewrite17.0ms

series79.0ms

simplify60.0ms

prune77.0ms

regimes139.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.0s

Profiling