Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

346×

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

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 7.2b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.8b	(- (* x y) (* z y))
6.8b	(* (- (* 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)

series76.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(- (* x y) (* z y))
41.0ms	(* (- (* x y) (* z y)) t)

simplify106.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (26.0ms)

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

prune98.0ms

Filtered

46 candidates to 37 candidates (80.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	38	8	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	9	47

Merged error: 0.0b

Counts

47 → 9

localize5.0ms

Local error

Found 1 expressions with local error:

5.7b	(* (* 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:

11.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify42.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (36.0ms)

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

prune56.0ms

Filtered

49 candidates to 19 candidates (38.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	48	10	58

Merged error: 0.0b

Counts

58 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x z))
0.6b	(cbrt (- x z))
1.3b	(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
4.6b	(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
42×	`associate-*r/`
35×	`flip3--` `flip--`
34×	`pow1` `add-exp-log`
32×	`frac-times`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
16×	`associate-*l/`
15×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`associate-r`
8×	`add-cube-cbrt`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 126

Calls

4 calls:

3.0ms	(cbrt (- x z))
3.0ms	(cbrt (- x z))
22.0ms	(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
14.0ms	(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

series415.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt (- x z))
143.0ms	(cbrt (- x z))
41.0ms	(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
82.0ms	(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

simplify74.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	562	1529
1	2137	1320
2	5001	1255

prune282.0ms

Filtered

138 candidates to 85 candidates (61.6%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	137	11	148

Merged error: 0.0b

Counts

148 → 11

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x z) t)
6.4b	(* y (* (- x z) t))

rewrite15.0ms

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))

series68.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* (- x z) t)
41.0ms	(* y (* (- x z) t))

simplify110.0ms

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

prune78.0ms

Filtered

52 candidates to 37 candidates (71.2%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	3	4	7
Picked	0	1	1
Done	0	3	3
Total	54	9	63

Merged error: 0.0b

Counts

63 → 9

regimes306.0ms

Accuracy

91.9% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 6.6b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 2 (1.0ms)

Iter	Nodes	Cost
0	31	29
1	34	29
2	40	19
3	43	19
4	49	19
5	60	19
6	67	19
7	68	19
8	68	19

end0.0ms

sample526.0ms

Algorithm

intervals

Results

267.0ms

10613×

body

valid