Details

sample26.0ms

Algorithm

intervals

Results

11.0ms

343×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	48	9
4	79	9
5	129	9
6	297	9
7	823	9
8	2679	9
done	5001	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(+ x (/ (* (- y x) z) t))
7.0b	(/ (* (- y x) z) t)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

34.0ms	(* (- y x) z)
15.0ms	(+ x (/ (* (- y x) z) t))
23.0ms	(/ (* (- y x) z) t)

series148.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* (- y x) z)
49.0ms	(+ x (/ (* (- y x) z) t))
52.0ms	(/ (* (- y x) z) t)

simplify1.2s

Counts

66 → 66

Iterations

Useful iterations: 2 (209.0ms)

Iter	Nodes	Cost
0	110	688
1	292	653
2	1514	583
done	5001	583

prune178.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
5.4b	(/ (- y x) (/ t z))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
88×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
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` `div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 114

Calls

2 calls:

47.0ms	(+ x (/ (- y x) (/ t z)))
28.0ms	(/ (- y x) (/ t z))

series105.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ x (/ (- y x) (/ t z)))
59.0ms	(/ (- y x) (/ t z))

simplify1.2s

Counts

120 → 120

Iterations

Useful iterations: 2 (326.0ms)

Iter	Nodes	Cost
0	217	1896
1	664	1792
2	3014	1704
done	5000	1704

prune305.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
0.9b	(* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (/ (- y x) (/ (cbrt t) (cbrt z))))

rewrite222.0ms

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 t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
177.0ms	(* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (/ (- y x) (/ (cbrt t) (cbrt z))))

series831.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(cbrt t)
234.0ms	(cbrt t)
275.0ms	(cbrt t)
82.0ms	(* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (/ (- y x) (/ (cbrt t) (cbrt z))))

simplify1.3s

Counts

309 → 309

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	515	7352
1	2022	6862
done	5000	6320

prune1.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-sqr-sqrt` `add-cbrt-cube`
11×	`*-un-lft-identity`
9×	`cbrt-prod` `add-cube-cbrt` `prod-exp` `cbrt-unprod`
6×	`pow1`
5×	`associate-r` `associate-l`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`pow1/3`
2×	`distribute-rgt-in` `frac-times` `sub-neg` `flip3--` `distribute-lft-in` `times-frac` `associate-*r/` `flip--` `unswap-sqr`
1×	`pow-prod-down` `associate-l/` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 73

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
77.0ms	(* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (- y x))

series1.2s

Counts

4 → 12

Calls

4 calls:

314.0ms	(cbrt t)
269.0ms	(cbrt t)
322.0ms	(cbrt t)
282.0ms	(* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (- y x))

simplify1.0s

Counts

85 → 85

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	151	1153
1	438	1080
2	2280	837
done	5000	794

prune437.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes141.0ms

Accuracy

0% (0.9b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	21	25
done	21	25

end0.0ms

sample1.3s

Algorithm

intervals

Results

746.0ms

10693×

body

valid