Details

sample34.0ms

Algorithm

intervals

Results

10.0ms	224×	body	80	valid
4.0ms	37×	body	640	valid
4.0ms	27×	body	1280	valid
2.0ms	20×	body	320	valid
2.0ms	9×	body	2560	valid
1.0ms	13×	body	160	valid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	20	7
1	64	4
2	187	2
3	1171	2
4	5001	2

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(* y (- x z))

simplify45.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (5.0ms)

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

prune40.0ms

Filtered

29 candidates to 17 candidates (58.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	26	3	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	4	30

Merged error: 0.0b

Counts

30 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(+ (* y x) (* y (- z)))

simplify63.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (61.0ms)

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

prune28.0ms

Filtered

17 candidates to 11 candidates (64.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	17	4	21

Merged error: 0.0b

Counts

21 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series733.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt y) (cbrt y))
182.0ms	(cbrt y)
180.0ms	(cbrt y)
171.0ms	(cbrt y)

simplify86.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune161.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	85	4	89

Merged error: 0.0b

Counts

89 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

14.0ms	(* (* y (sqrt (- x z))) (sqrt (- x z)))
7.0ms	(* y (sqrt (- x z)))

series131.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* (* y (sqrt (- x z))) (sqrt (- x z)))
97.0ms	(* y (sqrt (- x z)))

simplify39.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	296	413
1	1293	350
2	5002	336

prune95.0ms

Filtered

63 candidates to 37 candidates (58.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	63	4	67

Merged error: 0.0b

Counts

67 → 4

regimes52.0ms

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	6	2
1	6	2

end0.0ms

sample895.0ms

Algorithm

intervals

Results

256.0ms	7060×	body	80	valid
146.0ms	940×	body	1280	valid
122.0ms	1003×	body	640	valid
65.0ms	662×	body	320	valid
44.0ms	201×	body	2560	valid
22.0ms	347×	body	160	valid