Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

264×

body

valid

simplify70.0ms

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

prune3.0ms

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: 0.7b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
8.8b	(/ x (* (- y z) (- y t)))

rewrite22.0ms

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:

10.0ms	(* (- y z) (- y t))
10.0ms	(/ x (* (- y z) (- y t)))

series98.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* (- y z) (- y t))
69.0ms	(/ x (* (- y z) (- y t)))

simplify48.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (11.0ms)

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

prune165.0ms

Filtered

69 candidates to 51 candidates (73.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	6	70

Merged error: 0b

Counts

70 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
42×	`times-frac`
40×	`*-un-lft-identity`
36×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
11×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `unswap-sqr`
4×	`associate-/r/` `add-log-exp`
3×	`pow1/3`
2×	`flip3--` `flip--` `div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 110

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
24.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

series674.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt x)
192.0ms	(cbrt x)
201.0ms	(cbrt x)
92.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

simplify82.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	533	1044
1	2673	853
2	5001	794

prune321.0ms

Filtered

122 candidates to 92 candidates (75.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	3	4
Picked	0	1	1
Done	1	0	1
Total	123	5	128

Merged error: 0b

Counts

128 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y z) (- y t))
0.8b	(/ 1 (/ (* (- y z) (- y t)) x))
8.3b	(/ (* (- y z) (- y t)) x)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 119

Calls

3 calls:

15.0ms	(* (- y z) (- y t))
10.0ms	(/ 1 (/ (* (- y z) (- y t)) x))
11.0ms	(/ (* (- y z) (- y t)) x)

series228.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* (- y z) (- y t))
149.0ms	(/ 1 (/ (* (- y z) (- y t)) x))
50.0ms	(/ (* (- y z) (- y t)) x)

simplify82.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	530	854
1	2893	750
2	5001	713

prune227.0ms

Filtered

128 candidates to 78 candidates (60.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	128	5	133

Merged error: 0b

Counts

133 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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:

6.0ms	(/ x (- y z))
18.0ms	(/ (/ x (- y z)) (- y t))

series101.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ x (- y z))
63.0ms	(/ (/ x (- y z)) (- y t))

simplify74.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (18.0ms)

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

prune400.0ms

Filtered

191 candidates to 129 candidates (67.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	191	5	196

Merged error: 0b

Counts

196 → 5

regimes160.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	10
1	14	10

end0.0ms

sample462.0ms

Algorithm

intervals

Results

252.0ms

8436×

body

valid