Details

sample29.0ms

Algorithm

intervals

Results

11.0ms

345×

body

valid

simplify4.9s

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	120	9
6	137	9
7	146	9
8	163	9
9	211	9
10	287	9
11	327	9
12	371	9
13	389	9
14	476	9
15	567	9
16	816	9
17	1145	9
18	1569	9
19	1652	9
20	1654	9
done	1654	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y x) z)
7.2b	(/ (* (- y x) z) t)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

42.0ms	(* (- y x) z)
27.0ms	(/ (* (- y x) z) t)

series119.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(* (- y x) z)
65.0ms	(/ (* (- y x) z) t)

simplify3.0s

Counts

51 → 51

Iterations

Useful iterations: 2 (146.0ms)

Iter	Nodes	Cost
0	91	459
1	224	447
2	814	369
3	3808	369
done	5000	369

prune163.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

6.2b	(/ (- y x) (/ t z))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 101

Calls

1 calls:

38.0ms

(/ (- y x) (/ t z))

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(/ (- y x) (/ t z))

simplify1.4s

Counts

104 → 104

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	195	1660
1	524	1557
2	1645	1483
done	5000	1481

prune277.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

5.9b	(* (- y x) (/ z t))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 38

Calls

1 calls:

40.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify2.7s

Counts

41 → 41

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	96	449
1	234	430
2	874	388
3	3459	376
done	5000	376

prune166.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

5.7b	(cbrt (* (- y x) (/ z t)))
5.9b	(* (- y x) (/ z t))
5.9b	(* (- y x) (/ z t))
5.9b	(* (- y x) (/ z t))

rewrite173.0ms

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:

18.0ms	(cbrt (* (- y x) (/ z t)))
35.0ms	(* (- y x) (/ z t))
57.0ms	(* (- y x) (/ z t))
59.0ms	(* (- y x) (/ z t))

series423.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(cbrt (* (- y x) (/ z t)))
80.0ms	(* (- y x) (/ z t))
62.0ms	(* (- y x) (/ z t))
70.0ms	(* (- y x) (/ z t))

simplify3.2s

Counts

140 → 140

Iterations

Useful iterations: done (3.2s)

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

prune577.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes211.0ms

Accuracy

26.3% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.2b

bsearch86.0ms

Steps

Iters	Range		Point
6	8.036335796627101e-72	5.242132222450432e-71	8.698046239578132e-72
8	-3.140542152251357e-199	-2.780134853395525e-203	-2.3628848532521864e-200

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	35
1	25	35
done	25	35

end0.0ms

sample1.8s

Algorithm

intervals

Results

672.0ms

10711×

body

valid