Details

sample40.0ms

Algorithm

intervals

Results

17.0ms

271×

body

valid

simplify5.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	30	9
3	69	9
4	180	9
5	349	9
6	576	9
7	913	9
8	1122	9
9	1407	9
10	1465	9
11	1469	9
done	1469	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize9.0ms

Local error

Found 1 expressions with local error:

8.2b	(/ x (* (- y z) (- t z)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/r/`
6×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
4×	`frac-times`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/l`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/`
1×	`pow1` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

35.0ms

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

series185.0ms

Counts

1 → 3

Calls

1 calls:

185.0ms

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

simplify2.6s

Counts

34 → 34

Iterations

Useful iterations: 2 (108.0ms)

Iter	Nodes	Cost
0	80	423
1	182	420
2	675	366
3	3783	366
done	5001	366

prune146.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.3b	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite154.0ms

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×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`flip3--` `flip--` `div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 118

Calls

4 calls:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)
138.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

298.0ms	(cbrt x)
290.0ms	(cbrt x)
279.0ms	(cbrt x)
264.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify1.7s

Counts

130 → 130

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	184	1873
1	520	1792
2	2026	1388
done	5001	1276

prune510.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y z))
2.2b	(/ (/ x (- y z)) (- t z))

rewrite82.0ms

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` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 189

Calls

2 calls:

21.0ms	(/ x (- y z))
37.0ms	(/ (/ x (- y z)) (- t z))

series244.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ x (- y z))
185.0ms	(/ (/ x (- y z)) (- t z))

simplify1.6s

Counts

195 → 195

Iterations

Useful iterations: 2 (362.0ms)

Iter	Nodes	Cost
0	268	3384
1	642	3198
2	1667	3122
done	5000	3122

prune711.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (- y z))
0.0b	(/ 1 (- t z))
2.2b	(* (/ x (- y z)) (/ 1 (- t z)))

rewrite150.0ms

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×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `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 → 157

Calls

3 calls:

23.0ms	(/ x (- y z))
25.0ms	(/ 1 (- t z))
91.0ms	(* (/ x (- y z)) (/ 1 (- t z)))

series358.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(/ x (- y z))
61.0ms	(/ 1 (- t z))
217.0ms	(* (/ x (- y z)) (/ 1 (- t z)))

simplify2.9s

Counts

166 → 166

Iterations

Useful iterations: 2 (328.0ms)

Iter	Nodes	Cost
0	204	1932
1	513	1682
2	1255	1494
3	3403	1494
done	5000	1494

prune573.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes164.0ms

Accuracy

0% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
done	8	9

end0.0ms

sample700.0ms

Algorithm

intervals

Results

286.0ms

8464×

body

valid