Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

272×

body

valid

simplify62.0ms

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: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

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

series87.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- y z) (- y t))
57.0ms	(/ 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

prune142.0ms

Filtered

69 candidates to 51 candidates (73.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	66	3	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	4	70

Merged error: 0b

Counts

70 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y z) (- y t))
1.4b	(/ 1 (* (- y z) (- y t)))
7.1b	(* x (/ 1 (* (- y z) (- y t))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 110

Calls

3 calls:

9.0ms	(* (- y z) (- y t))
12.0ms	(/ 1 (* (- y z) (- y t)))
14.0ms	(* x (/ 1 (* (- y z) (- y t))))

series148.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(* (- y z) (- y t))
65.0ms	(/ 1 (* (- y z) (- y t)))
56.0ms	(* x (/ 1 (* (- y z) (- y t))))

simplify65.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	428	688
1	2242	597
2	5001	587

prune199.0ms

Filtered

119 candidates to 76 candidates (63.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	119	4	123

Merged error: 0b

Counts

123 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y z))
2.3b	(/ (/ x (- y z)) (- y t))

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

series88.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ x (- y z))
60.0ms	(/ (/ x (- y z)) (- y t))

simplify64.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (15.0ms)

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

prune358.0ms

Filtered

191 candidates to 128 candidates (67.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	191	4	195

Merged error: 0b

Counts

195 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- y z))
0.0b	(/ x (- y t))
2.1b	(* (/ 1 (- y z)) (/ x (- y t)))

rewrite41.0ms

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

series202.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ 1 (- y z))
29.0ms	(/ x (- y t))
133.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

simplify57.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	522	909
1	2258	824
2	5001	792

prune445.0ms

Filtered

159 candidates to 104 candidates (65.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	159	4	163

Merged error: 0b

Counts

163 → 4

regimes144.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample525.0ms

Algorithm

intervals

Results

288.0ms

8415×

body

valid