Details

sample110.0ms

Algorithm

intervals

Results

21.0ms

261×

body

valid

simplify4.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	12
1	25	12
2	65	12
3	132	12
4	198	12
5	238	12
6	274	12
7	294	12
8	334	12
9	407	12
10	528	12
11	1310	12
done	5000	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
19.7b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
9×	`pow1`
8×	`add-sqr-sqrt` `frac-times` `associate-/r/`
6×	`add-cube-cbrt` `swap-sqr` `distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-r/` `div-exp` `associate-r` `associate-l` `associate-l/`
2×	`add-log-exp`
1×	`distribute-lft-neg-out` `pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `pow-plus` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 70

Calls

2 calls:

59.0ms	(* (+ t1 u) (+ t1 u))
48.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series156.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(* (+ t1 u) (+ t1 u))
138.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.2s

Counts

76 → 76

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	113	1078
1	365	990
2	1712	834
done	5000	831

prune169.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ v (+ t1 u))
0.5b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
108×	`times-frac`
81×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
46×	`associate-l`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r`
13×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*` `associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
3×	`add-log-exp`
2×	`frac-2neg` `distribute-frac-neg` `clear-num`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 192

Calls

3 calls:

15.0ms	(/ (- t1) (+ t1 u))
12.0ms	(/ v (+ t1 u))
117.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series308.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(/ (- t1) (+ t1 u))
38.0ms	(/ v (+ t1 u))
199.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify1.5s

Counts

201 → 201

Iterations

Useful iterations: 2 (388.0ms)

Iter	Nodes	Cost
0	213	2501
1	579	2385
2	1817	2231
done	5001	2231

prune579.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ t1 u) t1)
0.0b	(/ v (+ t1 u))
0.2b	(/ (- 1) (/ (+ t1 u) t1))
0.5b	(* (/ (- 1) (/ (+ t1 u) t1)) (/ v (+ t1 u)))

rewrite330.0ms

Algorithm

rewrite-expression-head

Rules

617×	`times-frac`
446×	`*-un-lft-identity`
319×	`add-sqr-sqrt`
298×	`add-cube-cbrt`
165×	`associate-l`
99×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
74×	`distribute-lft-out`
34×	`add-exp-log` `add-cbrt-cube`
33×	`neg-mul-1`
26×	`div-inv`
23×	`associate-/r*`
18×	`associate-r`
17×	`associate-/l*`
14×	`cbrt-undiv` `div-exp`
6×	`pow1` `prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
4×	`add-log-exp`
3×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
2×	`distribute-frac-neg` `associate-/l/`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 483

Calls

4 calls:

31.0ms	(/ (+ t1 u) t1)
21.0ms	(/ v (+ t1 u))
34.0ms	(/ (- 1) (/ (+ t1 u) t1))
188.0ms	(* (/ (- 1) (/ (+ t1 u) t1)) (/ v (+ t1 u)))

series342.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ (+ t1 u) t1)
34.0ms	(/ v (+ t1 u))
58.0ms	(/ (- 1) (/ (+ t1 u) t1))
203.0ms	(* (/ (- 1) (/ (+ t1 u) t1)) (/ v (+ t1 u)))

simplify2.1s

Counts

495 → 495

Iterations

Useful iterations: 2 (1.0s)

Iter	Nodes	Cost
0	486	7903
1	1450	6733
2	3716	6086
done	5000	6086

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.0b	(/ (+ t1 u) (- t1))
0.5b	(/ (/ v (+ t1 u)) (/ (+ t1 u) (- t1)))

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

2144×	`times-frac`
1515×	`*-un-lft-identity`
835×	`add-sqr-sqrt` `add-cube-cbrt`
340×	`distribute-lft-out`
243×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
93×	`associate-/r/`
81×	`neg-mul-1`
67×	`div-inv`
58×	`associate-/r*`
47×	`flip3-+` `flip-+`
25×	`associate-/l*`
19×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
3×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

3 → 975

Calls

3 calls:

26.0ms	(/ v (+ t1 u))
22.0ms	(/ (+ t1 u) (- t1))
60.0ms	(/ (/ v (+ t1 u)) (/ (+ t1 u) (- t1)))

series185.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ v (+ t1 u))
54.0ms	(/ (+ t1 u) (- t1))
88.0ms	(/ (/ v (+ t1 u)) (/ (+ t1 u) (- t1)))

simplify2.1s

Counts

984 → 984

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	1045	25825
1	3033	23848
done	5000	23364

prune2.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes124.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: done (4.0ms)

Iter	Nodes	Cost
0	12	18
1	16	14
done	16	12

end0.0ms

sample1.3s

Algorithm

intervals

Results

487.0ms

8239×

body

valid