Details

sample21.0ms

Algorithm

intervals

Results

7.0ms

275×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	19	11
2	40	11
3	84	11
4	198	11
5	385	11
6	609	11
7	913	11
8	1128	11
9	1497	11
10	1552	11
11	1558	11
done	1558	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
5×	`associate-r` `associate-l`
4×	`pow1` `associate-r/` `associate-l/`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 85

Calls

2 calls:

41.0ms	(* (- y z) (- y t))
17.0ms	(/ x (* (- y z) (- y t)))

series104.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (- y z) (- y t))
73.0ms	(/ x (* (- y z) (- y t)))

simplify898.0ms

Counts

91 → 91

Iterations

Useful iterations: done (895.0ms)

Iter	Nodes	Cost
0	177	1460
1	390	1272
2	1391	1098
done	5000	1074

prune215.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
2.3b	(/ (* (- y z) (- y t)) (cbrt x))
5.0b	(/ (* (cbrt x) (cbrt x)) (/ (* (- y z) (- y t)) (cbrt x)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
32.0ms	(/ (* (- y z) (- y t)) (cbrt x))
24.0ms	(/ (* (cbrt x) (cbrt x)) (/ (* (- y z) (- y t)) (cbrt x)))

series681.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(cbrt x)
213.0ms	(cbrt x)
161.0ms	(/ (* (- y z) (- y t)) (cbrt x))
99.0ms	(/ (* (cbrt x) (cbrt x)) (/ (* (- y z) (- y t)) (cbrt x)))

simplify990.0ms

Counts

121 → 121

Iterations

Useful iterations: done (987.0ms)

Iter	Nodes	Cost
0	183	1741
1	515	1655
2	2212	1304
done	5001	1215

prune387.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series825.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(cbrt x)
203.0ms	(cbrt x)
213.0ms	(cbrt x)
206.0ms	(cbrt x)

simplify1.8s

Counts

64 → 64

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	26	284
1	44	268
2	85	244
3	162	232
4	407	232
5	1333	232
done	5000	232

prune259.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

7.1b	(/ x (* (* (cbrt (* (- y z) (- y t))) (cbrt (* (- y z) (- y t)))) (cbrt (* (- y z) (- y t)))))
25.0b	(cbrt (* (- y z) (- y t)))
25.0b	(cbrt (* (- y z) (- y t)))
25.0b	(cbrt (* (- y z) (- y t)))

rewrite370.0ms

Algorithm

rewrite-expression-head

Rules

2200×	`frac-times`
1968×	`cbrt-div`
1476×	`flip3--` `flip--`
728×	`associate-/r/`
644×	`associate-*l/`
572×	`associate-*r/`
13×	`add-exp-log`
9×	`add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `cbrt-prod` `times-frac` `pow1/3` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l*`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 810

Calls

4 calls:

152.0ms	(/ x (* (* (cbrt (* (- y z) (- y t))) (cbrt (* (- y z) (- y t)))) (cbrt (* (- y z) (- y t)))))
12.0ms	(cbrt (* (- y z) (- y t)))
12.0ms	(cbrt (* (- y z) (- y t)))
14.0ms	(cbrt (* (- y z) (- y t)))

series726.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(/ x (* (* (cbrt (* (- y z) (- y t))) (cbrt (* (- y z) (- y t)))) (cbrt (* (- y z) (- y t)))))
215.0ms	(cbrt (* (- y z) (- y t)))
214.0ms	(cbrt (* (- y z) (- y t)))
222.0ms	(cbrt (* (- y z) (- y t)))

simplify2.4s

Counts

822 → 822

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	1663	33984
1	3378	33904
2	4664	33168
done	5002	33050

prune5.4s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes162.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	27
1	17	27
done	17	27

end0.0ms

sample536.0ms

Algorithm

intervals

Results

239.0ms

8467×

body

valid