Details

sample39.0ms

Algorithm

intervals

Results

16.0ms

343×

body

valid

simplify5.5s

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: 2.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
5.2b	(* (- y x) (/ z t))

rewrite47.0ms

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)))
38.0ms	(* (- y x) (/ z t))

series101.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ x (* (- y x) (/ z t)))
60.0ms	(* (- y x) (/ z t))

simplify3.2s

Counts

55 → 55

Iterations

Useful iterations: 3 (1.6s)

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

prune199.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`associate-r`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `times-frac` `add-cbrt-cube`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
5×	`associate-*r/`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`frac-times` `flip3--` `associate-*l/` `flip--`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 84

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
136.0ms	(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt z) t))

series953.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(cbrt z)
303.0ms	(cbrt z)
297.0ms	(cbrt z)
104.0ms	(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt z) t))

simplify1.3s

Counts

96 → 96

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	144	1217
1	411	1159
2	1866	843
done	5000	734

prune300.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
1.7b	(* (- y x) (/ (cbrt z) t))
4.2b	(* (* (cbrt z) (cbrt z)) (* (- y x) (/ (cbrt z) t)))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log` `add-sqr-sqrt`
23×	`associate-r`
22×	`*-un-lft-identity`
21×	`add-cbrt-cube`
20×	`add-cube-cbrt` `times-frac`
18×	`pow1`
16×	`cbrt-prod`
15×	`prod-exp` `cbrt-unprod`
9×	`pow-prod-down`
7×	`associate-*r/`
6×	`associate-l`
4×	`frac-times` `flip3--` `associate-*l/` `flip--` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `unswap-sqr`
2×	`pow1/3` `*-commutative`
1×	`div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 101

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
39.0ms	(* (- y x) (/ (cbrt z) t))
81.0ms	(* (* (cbrt z) (cbrt z)) (* (- y x) (/ (cbrt z) t)))

series797.0ms

Counts

4 → 12

Calls

4 calls:

265.0ms	(cbrt z)
257.0ms	(cbrt z)
180.0ms	(* (- y x) (/ (cbrt z) t))
95.0ms	(* (* (cbrt z) (cbrt z)) (* (- y x) (/ (cbrt z) t)))

simplify1.4s

Counts

113 → 113

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	169	1378
1	432	1316
2	1770	1010
done	5000	899

prune468.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.7b	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ (cbrt z) t)))
1.4b	(* (cbrt (- y x)) (/ (cbrt z) t))
4.2b	(* (* (cbrt z) (cbrt z)) (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ (cbrt z) t))))

rewrite686.0ms

Algorithm

rewrite-expression-head

Rules

220×	`cbrt-div`
166×	`frac-times`
110×	`flip3--` `flip--`
106×	`associate-*r/`
95×	`add-exp-log`
78×	`associate-*l/`
62×	`prod-exp` `cbrt-unprod`
59×	`pow1`
42×	`add-cbrt-cube`
40×	`pow-prod-down`
38×	`add-sqr-sqrt`
24×	`associate-r`
22×	`cbrt-prod` `*-un-lft-identity` `times-frac`
20×	`add-cube-cbrt`
10×	`associate-l`
7×	`cbrt-undiv` `div-exp`
6×	`unswap-sqr`
4×	`add-log-exp`
3×	`*-commutative`
1×	`pow1/3` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 245

Calls

4 calls:

2.0ms	(cbrt z)
173.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ (cbrt z) t)))
38.0ms	(* (cbrt (- y x)) (/ (cbrt z) t))
428.0ms	(* (* (cbrt z) (cbrt z)) (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ (cbrt z) t))))

series909.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(cbrt z)
186.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ (cbrt z) t)))
313.0ms	(* (cbrt (- y x)) (/ (cbrt z) t))
148.0ms	(* (* (cbrt z) (cbrt z)) (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ (cbrt z) t))))

simplify3.3s

Counts

257 → 257

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	406	7206
1	1249	6959
2	4279	5498
done	5001	4694

prune1.1s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes447.0ms

Accuracy

32.8% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.9b

bsearch34.0ms

Steps

Iters	Range		Point
8	-2.2176802701535113e-306	5.101791684156815e-308	4.680081952247758e-308

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	33
1	24	33
done	24	33

end0.0ms

sample1.7s

Algorithm

intervals

Results

899.0ms

10642×

body

valid