Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

358×

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: 4.8b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b	(- (* x y) (* z y))
4.7b	(* (- (* x y) (* z y)) t)

rewrite11.0ms

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)

series79.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(- (* x y) (* z y))
46.0ms	(* (- (* x y) (* z y)) t)

simplify101.0ms

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

prune94.0ms

Filtered

46 candidates to 37 candidates (80.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Merged error: 0.0b

Counts

48 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

4.7b	(* (* t y) (- x z))

rewrite10.0ms

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:

8.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify41.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (35.0ms)

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

prune54.0ms

Filtered

49 candidates to 19 candidates (38.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	48	7	55

Merged error: 0.0b

Counts

55 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- x z))
4.7b	(* t (* y (- x z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 112

Calls

2 calls:

10.0ms	(* y (- x z))
9.0ms	(* t (* y (- x z)))

series82.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* y (- x z))
42.0ms	(* t (* y (- x z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	402	1084
1	1572	663
2	5001	645

prune100.0ms

Filtered

118 candidates to 42 candidates (35.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	117	8	125

Merged error: 0.0b

Counts

125 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
4.7b	(* t (* (* (cbrt y) (cbrt y)) (* (cbrt y) (- x z))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

132×	`distribute-rgt-in` `distribute-lft-in`
72×	`prod-diff`
56×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
22×	`pow1` `add-exp-log`
16×	`add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`cbrt-prod`
8×	`sub-neg`
6×	`associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l`
1×	`flip3--` `associate-r` `*-commutative` `flip--`

Counts

4 → 158

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
21.0ms	(* t (* (* (cbrt y) (cbrt y)) (* (cbrt y) (- x z))))

series600.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt y)
171.0ms	(cbrt y)
172.0ms	(cbrt y)
77.0ms	(* t (* (* (cbrt y) (cbrt y)) (* (cbrt y) (- x z))))

simplify82.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	900	2592
1	2959	1440
2	5002	1233

prune170.0ms

Filtered

170 candidates to 64 candidates (37.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	168	2	170
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	168	10	178

Merged error: 0.0b

Counts

178 → 10

regimes291.0ms

Accuracy

92% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 6.8b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	27
1	34	27

end0.0ms

sample635.0ms

Algorithm

intervals

Results

347.0ms

10668×

body

valid