Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

331×

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

prune8.0ms

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: 5.7b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b	(- (* x y) (* z y))
5.4b	(* (- (* 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:

3.0ms	(- (* x y) (* z y))
6.0ms	(* (- (* x y) (* z y)) t)

series74.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(- (* x y) (* z y))
41.0ms	(* (- (* x y) (* z y)) t)

simplify104.0ms

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

prune88.0ms

Filtered

46 candidates to 37 candidates (80.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	40	6	46
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	41	7	48

Merged error: 0.0b

Counts

48 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

6.3b	(* (* t y) (- x z))

rewrite12.0ms

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:

10.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify39.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (34.0ms)

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

prune49.0ms

Filtered

49 candidates to 19 candidates (38.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	48	8	56

Merged error: 0.0b

Counts

56 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
1.4b	(* (* (* (* y (- x z)) (cbrt t)) (cbrt t)) (cbrt t))
1.7b	(* (* (* y (- x z)) (cbrt t)) (cbrt t))
2.8b	(* (* y (- x z)) (cbrt t))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
18×	`associate-r`
16×	`add-cbrt-cube`
12×	`cbrt-prod` `associate-*l/`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `associate-l` `*-commutative` `flip--`
1×	`pow1/3`

Counts

4 → 97

Calls

4 calls:

1.0ms	(cbrt t)
13.0ms	(* (* (* (* y (- x z)) (cbrt t)) (cbrt t)) (cbrt t))
11.0ms	(* (* (* y (- x z)) (cbrt t)) (cbrt t))
8.0ms	(* (* y (- x z)) (cbrt t))

series536.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(cbrt t)
65.0ms	(* (* (* (* y (- x z)) (cbrt t)) (cbrt t)) (cbrt t))
179.0ms	(* (* (* y (- x z)) (cbrt t)) (cbrt t))
130.0ms	(* (* y (- x z)) (cbrt t))

simplify63.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	416	759
1	2137	608
2	5001	562

prune200.0ms

Filtered

109 candidates to 78 candidates (71.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	109	8	117

Merged error: 0.0b

Counts

117 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x z) t)
6.6b	(* y (* (- x z) t))

rewrite14.0ms

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)
7.0ms	(* y (* (- x z) t))

series65.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* (- x z) t)
35.0ms	(* y (* (- x z) t))

simplify103.0ms

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

prune70.0ms

Filtered

52 candidates to 37 candidates (71.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	52	8	60

Merged error: 0.0b

Counts

60 → 8

regimes237.0ms

Accuracy

76.3% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 7.1b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	13
1	25	13

end0.0ms

sample607.0ms

Algorithm

intervals

Results

340.0ms

10705×

body

valid