Details

sample52.0ms

Algorithm

intervals

Results

21.0ms

352×

body

valid

simplify5.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	31	9
3	57	9
4	89	9
5	114	9
6	133	9
7	154	9
8	190	9
9	245	9
10	273	9
11	300	9
12	341	9
13	354	9
14	370	9
15	386	9
16	473	9
17	564	9
18	812	9
19	1138	9
20	1568	9
21	1651	9
22	1656	9
done	1656	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `distribute-rgt-in` `sub-neg` `associate-+l+` `distribute-lft-in` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 57

Calls

2 calls:

26.0ms	(+ (* (/ x y) (- z t)) t)
57.0ms	(* (/ x y) (- z t))

series148.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(+ (* (/ x y) (- z t)) t)
90.0ms	(* (/ x y) (- z t))

simplify2.8s

Counts

63 → 63

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	120	727
1	314	701
2	980	625
3	3598	619
done	5001	619

prune191.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 1 1) (/ (- z t) (/ y x))) t)
7.9b	(/ (- z t) (/ y x))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
86×	`add-sqr-sqrt` `*-un-lft-identity`
58×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `associate-/l/`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `div-sub` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+`

Counts

2 → 112

Calls

2 calls:

31.0ms	(+ (* (/ 1 1) (/ (- z t) (/ y x))) t)
31.0ms	(/ (- z t) (/ y x))

series132.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+ (* (/ 1 1) (/ (- z t) (/ y x))) t)
71.0ms	(/ (- z t) (/ y x))

simplify1.7s

Counts

118 → 118

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	219	1952
1	606	1806
2	1866	1670
done	5000	1662

prune418.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.1b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (- z t) (/ (cbrt y) (cbrt x))))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

405×	`times-frac`
290×	`add-sqr-sqrt`
254×	`*-un-lft-identity`
205×	`associate-r`
197×	`cbrt-prod`
174×	`add-cube-cbrt`
73×	`add-exp-log`
40×	`distribute-lft-out--` `difference-of-squares`
39×	`add-cbrt-cube`
27×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
12×	`unswap-sqr`
7×	`div-inv`
6×	`pow1`
5×	`associate-l`
4×	`add-log-exp`
3×	`pow1/3`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `associate-/r/` `*-commutative`

Counts

4 → 297

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
189.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (- z t) (/ (cbrt y) (cbrt x))))

series850.0ms

Counts

4 → 12

Calls

4 calls:

298.0ms	(cbrt x)
257.0ms	(cbrt x)
227.0ms	(cbrt x)
67.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (- z t) (/ (cbrt y) (cbrt x))))

simplify997.0ms

Counts

309 → 309

Iterations

Useful iterations: done (988.0ms)

Iter	Nodes	Cost
0	515	7352
1	1663	6814
done	5000	6146

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
3.1b	(/ (/ y x) (cbrt (- z t)))
5.0b	(/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (/ y x) (cbrt (- z t))))

rewrite451.0ms

Algorithm

rewrite-expression-head

Rules

647×	`times-frac`
347×	`add-sqr-sqrt` `*-un-lft-identity`
263×	`add-cube-cbrt`
210×	`cbrt-prod`
118×	`associate-/r*`
42×	`distribute-lft-out--` `difference-of-squares`
30×	`add-exp-log`
29×	`div-inv`
22×	`cbrt-div`
18×	`add-cbrt-cube`
15×	`cbrt-undiv` `div-exp`
14×	`associate-/l*`
11×	`flip3--` `flip--`
9×	`associate-/l/`
7×	`associate-/r/`
4×	`pow1` `frac-times` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`frac-2neg` `pow1/3` `associate-r/` `associate-l/` `clear-num`

Counts

4 → 424

Calls

4 calls:

6.0ms	(cbrt (- z t))
6.0ms	(cbrt (- z t))
29.0ms	(/ (/ y x) (cbrt (- z t)))
359.0ms	(/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (/ y x) (cbrt (- z t))))

series611.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt (- z t))
197.0ms	(cbrt (- z t))
163.0ms	(/ (/ y x) (cbrt (- z t)))
67.0ms	(/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (/ y x) (cbrt (- z t))))

simplify2.2s

Counts

436 → 436

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	621	9738
1	1497	9131
2	4934	8747
done	5000	8735

prune1.8s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: done (4.0ms)

Iter	Nodes	Cost
0	17	27
1	22	25
done	22	23

end0.0ms

sample1.2s

Algorithm

intervals

Results

582.0ms

10700×

body

valid