Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

340×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	3
1	34	3
2	72	3
3	100	3
4	108	3
5	108	3

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 5.5b

Counts

2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- x z))
5.3b	(* t (* y (- x z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-r`
21×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
8×	`add-cube-cbrt`
6×	`sub-neg` `associate-*r/`
5×	`unswap-sqr`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`*-commutative`
2×	`flip3--` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

2 → 69

Calls

2 calls:

6.0ms	(* y (- x z))
11.0ms	(* t (* y (- x z)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* y (- x z))
47.0ms	(* t (* y (- x z)))

simplify42.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	237	307
1	1253	276
2	5001	276

prune87.0ms

Filtered

75 candidates to 43 candidates (42.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	68	7	75
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	69	8	77

Merged error: 0.0b

Counts

77 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* t (- x z))
4.8b	(* (* t (- x z)) y)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
20×	`associate-l`
13×	`associate-r`
12×	`*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt`
5×	`unswap-sqr`
4×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`*-commutative`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate-*l/` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

2 → 61

Calls

2 calls:

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

series83.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* t (- x z))
43.0ms	(* (* t (- x z)) y)

simplify41.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	224	270
1	999	237
2	5001	237

prune91.0ms

Filtered

67 candidates to 43 candidates (35.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	61	6	67
Fresh	4	2	6
Picked	0	1	1
Done	0	1	1
Total	65	10	75

Merged error: 0b

Counts

75 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x z))
0.5b	(cbrt (- x z))
0.5b	(cbrt (- x z))
3.7b	(* (* t (* (cbrt (- x z)) (cbrt (- x z)))) (* (cbrt (- x z)) y))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

191×	`add-sqr-sqrt`
108×	`unswap-sqr`
83×	`cbrt-prod`
71×	`associate-l`
64×	`associate-r`
61×	`add-cbrt-cube`
60×	`cbrt-div`
57×	`cbrt-unprod`
44×	`*-un-lft-identity`
32×	`associate-r/` `associate-l/`
30×	`flip3--` `flip--`
28×	`frac-times`
25×	`pow1` `add-exp-log`
22×	`add-cube-cbrt`
18×	`swap-sqr`
15×	`pow-prod-down` `prod-exp`
10×	`distribute-lft-out--`
8×	`*-commutative` `difference-of-squares`
4×	`add-log-exp`
3×	`pow1/3`

Counts

4 → 209

Calls

4 calls:

3.0ms	(cbrt (- x z))
3.0ms	(cbrt (- x z))
3.0ms	(cbrt (- x z))
52.0ms	(* (* t (* (cbrt (- x z)) (cbrt (- x z)))) (* (cbrt (- x z)) y))

series514.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(cbrt (- x z))
157.0ms	(cbrt (- x z))
158.0ms	(cbrt (- x z))
44.0ms	(* (* t (* (cbrt (- x z)) (cbrt (- x z)))) (* (cbrt (- x z)) y))

simplify131.0ms

Algorithm

egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 2 (107.0ms)

Iter	Nodes	Cost
0	998	2953
1	4302	2467
2	5002	2315

prune352.0ms

Filtered

221 candidates to 133 candidates (39.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	221	0	221
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	221	10	231

Merged error: 0b

Counts

231 → 10

localize5.0ms

Local error

Found 1 expressions with local error:

8.7b	(* (- x z) (* t y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 35

Calls

1 calls:

10.0ms

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

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify109.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	201	177
1	979	154
2	4766	154
3	5002	154

prune39.0ms

Filtered

38 candidates to 24 candidates (36.8%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	1	5	6
Picked	0	1	1
Done	0	3	3
Total	38	10	48

Merged error: 0b

Counts

48 → 10

regimes200.0ms

Accuracy

56.7% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 6.2b

bsearch74.0ms

Steps

Iters	Range		Point
10	5.342976851238138e+82	1.6145784044702459e+97	5.41431148251194e+82
7	-1062187810820.286	-5154421704.732712	-12356067858.178953

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	6
1	22	6

end0.0ms

sample532.0ms

Algorithm

intervals

Results

267.0ms

10714×

body

valid