Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

274×

body

valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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 (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: 0.6b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
9.0b	(/ x (* (- y z) (- y t)))

rewrite21.0ms

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

series97.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- y z) (- y t))
67.0ms	(/ x (* (- y z) (- y t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	304	403
1	1399	360
2	5002	360

prune162.0ms

Filtered

69 candidates to 51 candidates (73.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	65	4	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	5	70

Merged error: 0b

Counts

70 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

9.0b	(/ x (* (- y z) (- y t)))
24.3b	(cbrt (/ x (* (- y z) (- y t))))
24.3b	(cbrt (/ x (* (- y z) (- y t))))
24.3b	(cbrt (/ x (* (- y z) (- y t))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
32×	`associate-/r/`
24×	`flip3--` `flip--`
16×	`frac-times`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-r/` `associate-l/`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

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

series619.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ x (* (- y z) (- y t)))
183.0ms	(cbrt (/ x (* (- y z) (- y t))))
187.0ms	(cbrt (/ x (* (- y z) (- y t))))
184.0ms	(cbrt (/ x (* (- y z) (- y t))))

simplify45.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	322	995
1	1077	935
2	5002	929

prune419.0ms

Filtered

113 candidates to 103 candidates (91.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	113	5	118

Merged error: 0b

Counts

118 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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

series98.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ x (- y z))
67.0ms	(/ (/ x (- y z)) (- y t))

simplify74.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	640	1735
1	2317	1691
2	5001	1691

prune393.0ms

Filtered

191 candidates to 128 candidates (67.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	190	1	191
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	192	4	196

Merged error: 0b

Counts

196 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) x)
1.1b	(/ 1 (/ (- y z) x))
1.7b	(/ (/ 1 (/ (- y z) x)) (- y t))

rewrite97.0ms

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	(/ (- y z) x)
9.0ms	(/ 1 (/ (- y z) x))
27.0ms	(/ (/ 1 (/ (- y z) x)) (- y t))

series240.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ (- y z) x)
70.0ms	(/ 1 (/ (- y z) x))
141.0ms	(/ (/ 1 (/ (- y z) x)) (- y t))

simplify109.0ms

Algorithm

egg-herbie

Counts

547 → 547

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	1763	6454
1	5001	5928

prune916.0ms

Filtered

547 candidates to 280 candidates (51.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	547	0	547
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	547	4	551

Merged error: 0b

Counts

551 → 4

regimes189.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample470.0ms

Algorithm

intervals

Results

253.0ms

8403×

body

valid