Details

sample31.0ms

Algorithm

intervals

Results

8.0ms	224×	body	80	valid
5.0ms	31×	body	1280	valid
3.0ms	23×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	6×	body	2560	valid
1.0ms	15×	body	160	valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (13.0ms)

Iter	Nodes	Cost
0	23	6
1	77	4
2	241	3
3	1441	2
4	5002	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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite9.0ms

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:

7.0ms

(* y (- x z))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(* y (- x z))

simplify93.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (89.0ms)

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

prune45.0ms

Filtered

49 candidates to 20 candidates (40.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	47	4	51

Merged error: 0b

Counts

51 → 4

localize6.0ms

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` `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:

4.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify71.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (68.0ms)

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

prune36.0ms

Filtered

20 candidates to 14 candidates (70.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	20	4	24

Merged error: 0b

Counts

24 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
49×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
43×	`add-cube-cbrt`
12×	`associate-l`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`sqrt-prod`
6×	`sub-neg` `associate-r/` `associate-r*`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 119

Calls

2 calls:

8.0ms	(* (sqrt y) (- x z))
11.0ms	(* (sqrt y) (* (sqrt y) (- x z)))

series123.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(* (sqrt y) (- x z))
50.0ms	(* (sqrt y) (* (sqrt y) (- x z)))

simplify65.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	407	1146
1	1667	754
2	5001	711

prune100.0ms

Filtered

125 candidates to 45 candidates (36.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	125	4	129

Merged error: 0b

Counts

129 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

2.0b	(+ (* z z) (* x z))
3.0b	(- (pow x 3) (pow z 3))
7.1b	(* y (- (pow x 3) (pow z 3)))
36.9b	(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

432×	`prod-diff`
277×	`add-sqr-sqrt`
247×	`*-un-lft-identity`
243×	`unpow-prod-down` `cube-prod`
227×	`add-cube-cbrt`
146×	`distribute-rgt-in` `distribute-lft-in`
89×	`sqr-pow`
73×	`cube-mult` `unpow3`
32×	`difference-of-squares`
25×	`associate-r`
12×	`fma-neg`
11×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--`
8×	`add-log-exp`
6×	`pow1`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `times-frac` `associate-l` `associate-/r*` `flip--`
2×	`difference-cubes` `cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`+-commutative` `distribute-rgt-out` `fma-def` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 570

Calls

4 calls:

4.0ms	(+ (* z z) (* x z))
20.0ms	(- (pow x 3) (pow z 3))
27.0ms	(* y (- (pow x 3) (pow z 3)))
40.0ms	(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

series330.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (* z z) (* x z))
49.0ms	(- (pow x 3) (pow z 3))
108.0ms	(* y (- (pow x 3) (pow z 3)))
141.0ms	(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

simplify230.0ms

Algorithm

egg-herbie

Counts

582 → 582

Iterations

Useful iterations: 2 (151.0ms)

Iter	Nodes	Cost
0	965	6508
1	4171	4505
2	5001	4495

prune328.0ms

Filtered

582 candidates to 99 candidates (17.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	582	0	582
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	582	4	586

Merged error: 0b

Counts

586 → 4

regimes55.0ms

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

sample886.0ms

Algorithm

intervals

Results

258.0ms	7002×	body	80	valid
160.0ms	999×	body	1280	valid
115.0ms	845×	body	640	valid
50.0ms	523×	body	320	valid
42.0ms	209×	body	2560	valid
36.0ms	547×	body	160	valid