Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

268×

body

valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	30	4
2	65	4
3	156	4
4	302	4
5	470	4
6	865	4
7	1243	4
8	1545	4
9	1705	4
10	1705	4

prune2.0ms

Filtered

1 candidates to 0 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: 11.2b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- t z))
11.1b	(/ x (* (- y z) (- t z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

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

series153.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (- y z) (- t z))
121.0ms	(/ x (* (- y z) (- t z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	300	403
1	1371	359
2	5001	355

prune153.0ms

Filtered

69 candidates to 51 candidates (73.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	61	8	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	8	70

Merged error: 0.0b

Counts

70 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (- t z))
0.0b	(/ 1 (- y z))
1.7b	(* (/ 1 (- y z)) (/ x (- t z)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
67×	`times-frac`
41×	`add-cube-cbrt`
31×	`add-exp-log`
21×	`associate-r` `associate-l`
19×	`add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
11×	`div-exp`
10×	`associate-/r*`
8×	`prod-exp` `associate-/r/`
6×	`pow1` `cbrt-undiv` `associate-/l*` `unswap-sqr`
4×	`flip3--` `flip--` `cbrt-unprod` `div-inv`
3×	`rec-exp` `1-exp` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

3 → 150

Calls

3 calls:

5.0ms	(/ x (- t z))
5.0ms	(/ 1 (- y z))
19.0ms	(* (/ 1 (- y z)) (/ x (- t z)))

series278.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ x (- t z))
32.0ms	(/ 1 (- y z))
219.0ms	(* (/ 1 (- y z)) (/ x (- t z)))

simplify58.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	518	909
1	2245	798
2	5001	758

prune247.0ms

Filtered

159 candidates to 97 candidates (61.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	153	6	159
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	158	9	167

Merged error: 0b

Counts

167 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- t z))
1.7b	(/ (/ x (- t z)) (- y z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
176×	`add-sqr-sqrt` `*-un-lft-identity`
88×	`add-cube-cbrt`
44×	`distribute-lft-out--` `difference-of-squares`
24×	`associate-/l*`
16×	`associate-/r/`
10×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 185

Calls

2 calls:

5.0ms	(/ x (- t z))
12.0ms	(/ (/ x (- t z)) (- y z))

series167.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ x (- t z))
140.0ms	(/ (/ x (- t z)) (- y z))

simplify61.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	636	1735
1	2304	1691
2	5001	1691

prune340.0ms

Filtered

191 candidates to 129 candidates (67.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	188	3	191
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	191	9	200

Merged error: 0b

Counts

200 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t z) x)
0.7b	(/ 1 (/ (- t z) x))
1.7b	(/ (/ 1 (/ (- t z) x)) (- y z))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

1054×	`times-frac`
680×	`add-sqr-sqrt` `*-un-lft-identity`
414×	`add-cube-cbrt`
133×	`distribute-lft-out--` `difference-of-squares`
70×	`associate-/l*`
35×	`add-exp-log`
31×	`div-inv`
27×	`associate-/r*`
22×	`div-exp`
19×	`add-cbrt-cube`
10×	`cbrt-undiv`
9×	`associate-/r/`
4×	`pow1` `rec-exp` `1-exp`
3×	`frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
2×	`flip3--` `flip--`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

3 → 538

Calls

3 calls:

6.0ms	(/ (- t z) x)
8.0ms	(/ 1 (/ (- t z) x))
23.0ms	(/ (/ 1 (/ (- t z) x)) (- y z))

series303.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (- t z) x)
63.0ms	(/ 1 (/ (- t z) x))
214.0ms	(/ (/ 1 (/ (- t z) x)) (- y z))

simplify100.0ms

Algorithm

egg-herbie

Counts

547 → 547

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1761	6454
1	5001	5928

prune801.0ms

Filtered

547 candidates to 280 candidates (51.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	546	1	547
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	547	9	556

Merged error: 0b

Counts

556 → 9

regimes167.0ms

Accuracy

48.2% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	19
1	24	19

end0.0ms

sample424.0ms

Algorithm

intervals

Results

215.0ms

8424×

body

valid