Details

sample23.0ms

Algorithm

intervals

Results

8.0ms

350×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	25	9
3	58	9
4	93	9
5	121	9
6	139	9
7	159	9
8	192	9
9	249	9
10	278	9
11	313	9
12	349	9
13	374	9
14	390	9
15	477	9
16	568	9
17	818	9
18	1143	9
19	1570	9
20	1655	9
21	1656	9
done	1656	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
8.2b	(* (- y x) (/ z t))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

7.0ms	(+ x (* (- y x) (/ z t)))
28.0ms	(* (- y x) (/ z t))

series89.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ x (* (- y x) (/ z t)))
50.0ms	(* (- y x) (/ z t))

simplify2.4s

Counts

55 → 55

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	115	669
1	293	627
2	1083	581
3	4484	557
done	5001	557

prune111.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

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×	`frac-times` `flip3--` `times-frac` `associate-*l/` `flip--` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
51.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series653.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt z)
174.0ms	(cbrt z)
173.0ms	(cbrt z)
130.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify787.0ms

Counts

81 → 81

Iterations

Useful iterations: done (785.0ms)

Iter	Nodes	Cost
0	144	1045
1	372	974
2	1507	731
done	5000	702

prune226.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
237.0ms	(* (- y x) (/ (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z)))) (* (cbrt t) (cbrt t))))

series680.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt z)
185.0ms	(cbrt z)
181.0ms	(cbrt z)
130.0ms	(* (- y x) (/ (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z)))) (* (cbrt t) (cbrt t))))

simplify1.3s

Counts

88 → 88

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	176	1750
1	478	1659
2	2358	1064
done	5000	810

prune266.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

5.8b	(cbrt (* (- y x) (/ z t)))
8.2b	(* (- y x) (/ z t))
8.2b	(* (- y x) (/ z t))
8.2b	(* (- y x) (/ z t))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`associate-r`
34×	`*-un-lft-identity`
30×	`times-frac`
28×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
15×	`associate-l`
10×	`pow1`
8×	`frac-times` `flip3--` `associate-*l/` `flip--`
6×	`prod-exp` `cbrt-unprod` `unswap-sqr`
5×	`cbrt-div`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 128

Calls

4 calls:

10.0ms	(cbrt (* (- y x) (/ z t)))
29.0ms	(* (- y x) (/ z t))
27.0ms	(* (- y x) (/ z t))
31.0ms	(* (- y x) (/ z t))

series293.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (* (- y x) (/ z t)))
50.0ms	(* (- y x) (/ z t))
45.0ms	(* (- y x) (/ z t))
50.0ms	(* (- y x) (/ z t))

simplify2.0s

Counts

140 → 140

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	162	1628
1	372	1564
2	1258	1418
3	4751	1371
done	5000	1369

prune389.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes179.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	23
1	17	23
done	17	23

end0.0ms

sample619.0ms

Algorithm

intervals

Results

251.0ms

10694×

body

valid