Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

270×

body

valid

simplify57.0ms

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 (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

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
7.5b	(/ x (* (- y z) (- y t)))

rewrite20.0ms

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)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* (- y z) (- y t))
59.0ms	(/ x (* (- y z) (- y t)))

simplify42.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (8.0ms)

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

prune151.0ms

Filtered

69 candidates to 51 candidates (73.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	65	4	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	4	70

Merged error: 0.0b

Counts

70 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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))

series87.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ x (- y z))
60.0ms	(/ (/ x (- y z)) (- y t))

simplify65.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (14.0ms)

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

prune352.0ms

Filtered

191 candidates to 129 candidates (67.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	188	3	191
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	189	6	195

Merged error: 0b

Counts

195 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

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/` `un-div-inv` `*-commutative` `inv-pow`

Counts

3 → 151

Calls

3 calls:

5.0ms	(/ x (- y z))
5.0ms	(/ 1 (- y t))
20.0ms	(* (/ x (- y z)) (/ 1 (- y t)))

series123.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ x (- y z))
34.0ms	(/ 1 (- y t))
59.0ms	(* (/ x (- y z)) (/ 1 (- y t)))

simplify55.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	531	911
1	2207	796
2	5001	754

prune248.0ms

Filtered

160 candidates to 97 candidates (60.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	160	6	166

Merged error: 0b

Counts

166 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y t))
0.5b	(cbrt (- y t))
0.6b	(* (cbrt (- y t)) (cbrt (- y t)))
0.7b	(/ (/ x (- y z)) (cbrt (- y t)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

303×	`times-frac`
257×	`add-sqr-sqrt`
255×	`*-un-lft-identity`
148×	`cbrt-prod`
139×	`add-cube-cbrt`
57×	`distribute-lft-out--`
55×	`difference-of-squares`
21×	`associate-/l*`
20×	`associate-/r/`
18×	`cbrt-div` `flip3--` `flip--`
11×	`pow1` `add-exp-log`
10×	`swap-sqr` `div-inv`
8×	`pow1/3` `associate-r` `associate-l` `associate-/r*`
7×	`add-cbrt-cube`
4×	`frac-times` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-2neg` `pow-plus` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `associate-/l/`

Counts

4 → 300

Calls

4 calls:

3.0ms	(cbrt (- y t))
3.0ms	(cbrt (- y t))
11.0ms	(* (cbrt (- y t)) (cbrt (- y t)))
14.0ms	(/ (/ x (- y z)) (cbrt (- y t)))

series543.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (- y t))
145.0ms	(cbrt (- y t))
120.0ms	(* (cbrt (- y t)) (cbrt (- y t)))
128.0ms	(/ (/ x (- y z)) (cbrt (- y t)))

simplify116.0ms

Algorithm

egg-herbie

Counts

312 → 312

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	934	3442
1	3976	3365
2	5001	3233

prune712.0ms

Filtered

312 candidates to 202 candidates (64.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	312	0	312
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	312	6	318

Merged error: 0b

Counts

318 → 6

regimes106.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5

end0.0ms

sample474.0ms

Algorithm

intervals

Results

245.0ms

8457×

body

valid