Details

sample35.0ms

Algorithm

intervals

Results

7.0ms	213×	body	80	valid
5.0ms	33×	body	1280	valid
3.0ms	31×	body	640	valid
2.0ms	24×	body	320	valid
1.0ms	15×	body	160	valid
1.0ms	5×	body	2560	valid

simplify42.0ms

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

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(* y (- x z))

simplify42.0ms

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

prune47.0ms

Filtered

29 candidates to 17 candidates (41.4%)

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:

3.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(+ (* 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

prune27.0ms

Filtered

17 candidates to 10 candidates (41.2%)

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

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- x z))
0.0b	(sqrt (- x z))
0.1b	(* (* y (sqrt (- x z))) (sqrt (- x z)))
0.1b	(* y (sqrt (- x z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

3.0ms	(sqrt (- x z))
3.0ms	(sqrt (- x z))
11.0ms	(* (* y (sqrt (- x z))) (sqrt (- x z)))
7.0ms	(* y (sqrt (- x z)))

series573.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(sqrt (- x z))
166.0ms	(sqrt (- x z))
47.0ms	(* (* y (sqrt (- x z))) (sqrt (- x z)))
196.0ms	(* y (sqrt (- x z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	330	601
1	1432	543
2	5001	528

prune262.0ms

Filtered

103 candidates to 66 candidates (35.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	103	4	107

Merged error: 0b

Counts

107 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- x z))
0.3b	(pow (* y (- x z)) 3)
35.7b	(cbrt (pow (* y (- x z)) 3))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
8×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt`
6×	`associate-*r/`
5×	`associate-r`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `associate-l` `flip--` `add-log-exp`
2×	`distribute-rgt-in` `cube-mult` `sub-neg` `unpow-prod-down` `cbrt-div` `pow-pow` `distribute-lft-in` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `*-commutative` `rem-cbrt-cube` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 69

Calls

3 calls:

6.0ms	(* y (- x z))
5.0ms	(pow (* y (- x z)) 3)
2.0ms	(cbrt (pow (* y (- x z)) 3))

series172.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* y (- x z))
63.0ms	(pow (* y (- x z)) 3)
65.0ms	(cbrt (pow (* y (- x z)) 3))

simplify43.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	264	309
1	1296	298
2	5002	297

prune193.0ms

Filtered

78 candidates to 50 candidates (35.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	78	4	82

Merged error: 0b

Counts

82 → 4

regimes145.0ms

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	6	2
1	6	2

end0.0ms

sample978.0ms

Algorithm

intervals

Results

243.0ms	7006×	body	80	valid
143.0ms	954×	body	1280	valid
112.0ms	937×	body	640	valid
59.0ms	642×	body	320	valid
41.0ms	224×	body	2560	valid
24.0ms	360×	body	160	valid

Details

sample35.0ms

simplify42.0ms

prune11.0ms

localize7.0ms

rewrite7.0ms

series41.0ms

simplify42.0ms

prune47.0ms

localize6.0ms

rewrite4.0ms

series39.0ms

simplify60.0ms

prune27.0ms

localize6.0ms

rewrite26.0ms

series573.0ms

simplify43.0ms

prune262.0ms

localize9.0ms

rewrite15.0ms

series172.0ms

simplify43.0ms

prune193.0ms

regimes145.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample978.0ms

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