Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

347×

body

valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	3
1	36	3
2	80	3
3	123	3
4	141	3
5	143	3
6	143	3

prune5.0ms

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: 6.9b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b	(- (* x y) (* z y))
6.6b	(* (- (* x y) (* z y)) t)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `flip3--` `distribute-rgt-out--` `associate-*l/` `flip--` `log1p-expm1-u`
1×	`sub-neg` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

4.0ms	(- (* x y) (* z y))
6.0ms	(* (- (* x y) (* z y)) t)

series76.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(- (* x y) (* z y))
45.0ms	(* (- (* x y) (* z y)) t)

simplify102.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	173	232
1	656	199
2	3963	195
3	5001	195

prune160.0ms

Filtered

46 candidates to 37 candidates (80.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	41	5	46
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	42	6	48

Merged error: 0.0b

Counts

48 → 6

localize9.0ms

Local error

Found 1 expressions with local error:

5.9b	(* (* t y) (- x z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 46

Calls

1 calls:

14.0ms

(* (* t y) (- x z))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(* (* t y) (- x z))

simplify42.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	303	430
1	1277	281
2	5002	269

prune50.0ms

Filtered

49 candidates to 20 candidates (40.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	48	7	55

Merged error: 0.0b

Counts

55 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x z) t)
7.3b	(* y (* (- x z) t))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`associate-l`
7×	`*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-r/` `-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

6.0ms	(* (- x z) t)
10.0ms	(* y (* (- x z) t))

series62.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* (- x z) t)
36.0ms	(* y (* (- x z) t))

simplify107.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	190	207
1	802	174
2	4832	174
3	5001	174

prune88.0ms

Filtered

52 candidates to 37 candidates (71.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	52	7	59

Merged error: 0b

Counts

59 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

5.7b	(sqrt (* (* t y) (- x z)))
5.7b	(sqrt (* (* t y) (- x z)))
5.9b	(* (* t y) (- x z))
5.9b	(* (* t y) (- x z))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
34×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`add-cube-cbrt`
26×	`pow1`
22×	`distribute-rgt-in` `distribute-lft-in`
14×	`add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down`
10×	`associate-r`
8×	`associate-*r/`
6×	`sqrt-pow1` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `sub-neg` `flip3--` `sqrt-div` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`pow1/2` `associate-l` `sqrt-prod` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 124

Calls

4 calls:

9.0ms	(sqrt (* (* t y) (- x z)))
9.0ms	(sqrt (* (* t y) (- x z)))
8.0ms	(* (* t y) (- x z))
8.0ms	(* (* t y) (- x z))

series793.0ms

Counts

4 → 12

Calls

4 calls:

352.0ms	(sqrt (* (* t y) (- x z)))
357.0ms	(sqrt (* (* t y) (- x z)))
40.0ms	(* (* t y) (- x z))
44.0ms	(* (* t y) (- x z))

simplify47.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	353	1044
1	1459	736
2	5001	704

prune196.0ms

Filtered

136 candidates to 70 candidates (51.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	136	7	143

Merged error: 0b

Counts

143 → 7

regimes244.0ms

Accuracy

79.1% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 6.7b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	16
1	26	16

end0.0ms

sample523.0ms

Algorithm

intervals

Results

275.0ms

10633×

body

valid