Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

268×

body

valid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	40	5
2	80	5
3	174	5
4	369	5
5	503	5
6	769	5
7	1191	5
8	1451	5
9	1606	5
10	1606	5

prune2.0ms

Filtered

1 candidates to 0 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: 0.6b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
7.7b	(/ x (* (- y z) (- y t)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
48×	`times-frac`
33×	`add-cube-cbrt`
25×	`associate-r` `associate-l`
16×	`associate-/r*`
12×	`flip3--` `flip--`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
5×	`*-commutative` `unswap-sqr`
4×	`pow1` `associate-r/` `associate-l/`
3×	`associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `div-inv`

Counts

2 → 123

Calls

2 calls:

9.0ms	(* (- y z) (- y t))
13.0ms	(/ x (* (- y z) (- y t)))

series94.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (- y z) (- y t))
64.0ms	(/ x (* (- y z) (- y t)))

simplify58.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	464	909
1	2047	866
2	5003	866

prune222.0ms

Filtered

129 candidates to 93 candidates (27.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	125	4	129
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	125	5	130

Merged error: 0b

Counts

130 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y z))
2.0b	(/ (/ x (- y z)) (- y t))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
180×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
45×	`distribute-lft-out--` `difference-of-squares`
27×	`associate-/l*`
16×	`associate-/r/`
15×	`associate-/r*`
11×	`associate-/l/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`frac-2neg` `clear-num`
2×	`pow1` `add-log-exp`

Counts

2 → 195

Calls

2 calls:

5.0ms	(/ x (- y z))
16.0ms	(/ (/ x (- y z)) (- y t))

series94.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ x (- y z))
65.0ms	(/ (/ x (- y z)) (- y t))

simplify67.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	652	1776
1	2384	1732
2	5002	1732

prune339.0ms

Filtered

201 candidates to 135 candidates (32.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	198	3	201
Fresh	3	0	3
Picked	1	0	1
Done	1	0	1
Total	203	3	206

Merged error: 0b

Counts

206 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) x)
1.2b	(/ 1 (/ (- y z) x))
2.0b	(/ (/ 1 (/ (- y z) x)) (- y t))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

1129×	`times-frac`
763×	`*-un-lft-identity`
760×	`add-sqr-sqrt`
450×	`add-cube-cbrt`
156×	`distribute-lft-out--`
155×	`difference-of-squares`
122×	`associate-/l*`
93×	`associate-/r/`
67×	`associate-/r*`
41×	`associate-/l/`
35×	`add-exp-log`
32×	`div-inv`
22×	`div-exp`
19×	`add-cbrt-cube`
12×	`clear-num`
11×	`frac-2neg`
10×	`cbrt-undiv`
9×	`flip3--` `flip--`
4×	`pow1` `rec-exp` `1-exp`
3×	`remove-double-div` `add-log-exp`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

3 → 649

Calls

3 calls:

6.0ms	(/ (- y z) x)
14.0ms	(/ 1 (/ (- y z) x))
31.0ms	(/ (/ 1 (/ (- y z) x)) (- y t))

series234.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ (- y z) x)
70.0ms	(/ 1 (/ (- y z) x))
136.0ms	(/ (/ 1 (/ (- y z) x)) (- y t))

simplify119.0ms

Algorithm

egg-herbie

Counts

658 → 658

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	2066	7300
1	5001	6705

prune862.0ms

Filtered

658 candidates to 318 candidates (51.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	658	0	658
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	658	3	661

Merged error: 0b

Counts

661 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (- y z))
0.0b	(/ 1 (- y t))
2.0b	(* (/ x (- y z)) (/ 1 (- y t)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

182×	`add-sqr-sqrt`
168×	`*-un-lft-identity`
130×	`associate-/r*`
121×	`frac-times`
89×	`add-cube-cbrt`
79×	`associate-/l*`
67×	`times-frac`
38×	`distribute-lft-out--` `difference-of-squares`
31×	`add-exp-log`
27×	`clear-num`
26×	`frac-2neg`
21×	`associate-r` `associate-l`
19×	`add-cbrt-cube`
11×	`associate-r/` `div-exp` `associate-l/`
8×	`prod-exp` `associate-/r/`
6×	`pow1` `cbrt-undiv` `unswap-sqr`
4×	`flip3--` `flip--` `cbrt-unprod` `div-inv`
3×	`rec-exp` `1-exp` `un-div-inv` `add-log-exp`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

3 → 293

Calls

3 calls:

5.0ms	(/ x (- y z))
6.0ms	(/ 1 (- y t))
26.0ms	(* (/ x (- y z)) (/ 1 (- y t)))

series130.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ x (- y z))
41.0ms	(/ 1 (- y t))
59.0ms	(* (/ x (- y z)) (/ 1 (- y t)))

simplify109.0ms

Algorithm

egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	984	1975
1	4489	1816
2	5001	1706

prune339.0ms

Filtered

302 candidates to 150 candidates (50.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	301	1	302
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	302	3	305

Merged error: 0b

Counts

305 → 3

regimes67.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample459.0ms

Algorithm

intervals

Results

244.0ms

8408×

body

valid