Details

sample29.0ms

Algorithm

intervals

Results

6.0ms	222×	body	80	valid
5.0ms	34×	body	1280	valid
4.0ms	36×	body	640	valid
2.0ms	19×	body	320	valid
1.0ms	8×	body	2560	valid
1.0ms	16×	body	160	valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	21	7
1	72	4
2	237	2
3	1398	2
4	5002	2

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 46

Calls

1 calls:

12.0ms

(* y (- x z))

series36.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(* y (- x z))

simplify92.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	190	356
1	748	220
2	3365	190
3	5001	166

prune53.0ms

Filtered

49 candidates to 20 candidates (40.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `fma-def` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

3.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify68.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	114	99
1	478	79
2	2205	76
3	5001	75

prune46.0ms

Filtered

20 candidates to 15 candidates (75.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma y x (* y (- z)))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(fma y x (* y (- z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	29	55
1	78	46
2	317	46
3	1573	46
4	5001	46

prune34.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

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)))
0.2b	(* (* y (sqrt (- x z))) (sqrt (- x z)))

rewrite56.0ms

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×	`expm1-log1p-u` `frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

6.0ms	(sqrt (- x z))
6.0ms	(sqrt (- x z))
12.0ms	(* y (sqrt (- x z)))
27.0ms	(* (* y (sqrt (- x z))) (sqrt (- x z)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(sqrt (- x z))
66.0ms	(sqrt (- x z))
97.0ms	(* y (sqrt (- x z)))
36.0ms	(* (* y (sqrt (- x z))) (sqrt (- x z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	363	640
1	1458	561
2	5002	537

prune229.0ms

Filtered

111 candidates to 76 candidates (68.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes51.0ms

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	9	3
1	13	3
2	14	3
3	14	3

end0.0ms

sample768.0ms

Algorithm

intervals

Results

204.0ms	7113×	body	80	valid
140.0ms	986×	body	1280	valid
99.0ms	917×	body	640	valid
47.0ms	570×	body	320	valid
29.0ms	186×	body	2560	valid
20.0ms	368×	body	160	valid