Details

sample29.0ms

Algorithm

intervals

Results

8.0ms	224×	body	80	valid
4.0ms	27×	body	1280	valid
3.0ms	25×	body	640	valid
2.0ms	23×	body	320	valid
1.0ms	8×	body	2560	valid
1.0ms	11×	body	160	valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

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

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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 → 2

localize7.0ms

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))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(* y (- x z))

simplify52.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (6.0ms)

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

prune41.0ms

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	1	0	1
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0b

Counts

31 → 4

localize6.0ms

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:

4.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify68.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (65.0ms)

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

prune26.0ms

Filtered

17 candidates to 10 candidates (58.8%)

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: 0b

Counts

21 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

4.0b	(- (* x x) (* z z))
8.2b	(* y (- (* x x) (* z z)))
21.6b	(/ (* y (- (* x x) (* z z))) (+ x z))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

3.0ms	(- (* x x) (* z z))
6.0ms	(* y (- (* x x) (* z z)))
9.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

series163.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- (* x x) (* z z))
60.0ms	(* y (- (* x x) (* z z)))
69.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

simplify49.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	309	479
1	1609	402
2	5001	375

prune101.0ms

Filtered

74 candidates to 47 candidates (63.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	74	4	78

Merged error: 0b

Counts

78 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- x z))
0.2b	(/ y (/ 1 (- x z)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 145

Calls

2 calls:

5.0ms	(/ 1 (- x z))
9.0ms	(/ y (/ 1 (- x z)))

series70.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ 1 (- x z))
34.0ms	(/ y (/ 1 (- x z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	461	1019
1	2154	893
2	5001	754

prune132.0ms

Filtered

151 candidates to 68 candidates (45.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	151	4	155

Merged error: 0b

Counts

155 → 4

regimes52.0ms

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	6	2
1	6	2

end0.0ms

sample1.1s

Algorithm

intervals

Results

267.0ms	6896×	body	80	valid
211.0ms	358×	body	160	valid
173.0ms	956×	body	1280	valid
133.0ms	937×	body	640	valid
68.0ms	595×	body	320	valid
47.0ms	227×	body	2560	valid

Details

sample29.0ms

simplify65.0ms

prune6.0ms

localize7.0ms

rewrite7.0ms

series33.0ms

simplify52.0ms

prune41.0ms

localize6.0ms

rewrite4.0ms

series32.0ms

simplify68.0ms

prune26.0ms

localize8.0ms

rewrite20.0ms

series163.0ms

simplify49.0ms

prune101.0ms

localize5.0ms

rewrite20.0ms

series70.0ms

simplify51.0ms

prune132.0ms

regimes52.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

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