Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

266×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	12
1	25	12
2	63	12
3	115	12
4	171	12
5	210	12
6	245	12
7	261	12
8	301	12
9	357	12
10	460	12
11	1364	12
done	5000	12

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
18.2b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite29.0ms

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:

17.0ms	(* (+ t1 u) (+ t1 u))
10.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series89.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(* (+ t1 u) (+ t1 u))
74.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify782.0ms

Counts

76 → 76

Iterations

Useful iterations: 2 (193.0ms)

Iter	Nodes	Cost
0	113	1078
1	369	990
2	1700	834
done	5000	834

prune126.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.0b	(/ (- t1) (+ t1 u))
1.7b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite70.0ms

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:

5.0ms	(/ v (+ t1 u))
8.0ms	(/ (- t1) (+ t1 u))
49.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series189.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ v (+ t1 u))
40.0ms	(/ (- t1) (+ t1 u))
122.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify782.0ms

Counts

201 → 201

Iterations

Useful iterations: 2 (321.0ms)

Iter	Nodes	Cost
0	213	2501
1	593	2385
2	1910	2231
done	5000	2231

prune371.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 165

Calls

3 calls:

8.0ms	(/ (- t1) (+ t1 u))
13.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
29.0ms	(* (/ (- t1) (+ t1 u)) v)

series238.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ (- t1) (+ t1 u))
118.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
76.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify910.0ms

Counts

174 → 174

Iterations

Useful iterations: 2 (291.0ms)

Iter	Nodes	Cost
0	192	1973
1	474	1885
2	1595	1725
done	5000	1725

prune469.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.1b	(/ (+ t1 u) (* (/ (- t1) (+ t1 u)) v))
0.5b	(* (/ (- t1) (+ t1 u)) v)
0.7b	(/ 1 (/ (+ t1 u) (* (/ (- t1) (+ t1 u)) v)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

128×	`*-un-lft-identity` `times-frac`
79×	`add-sqr-sqrt`
74×	`add-cube-cbrt`
54×	`add-exp-log`
46×	`associate-l`
34×	`add-cbrt-cube`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-lft-out`
26×	`div-exp`
17×	`associate-/l*`
14×	`cbrt-undiv` `associate-/r*`
10×	`prod-exp` `associate-/r/`
9×	`neg-mul-1`
8×	`div-inv`
7×	`pow1`
6×	`associate-*l/` `cbrt-unprod`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`frac-2neg` `flip3-+` `associate-r` `clear-num` `flip-+`
2×	`distribute-frac-neg` `associate-/l/` `unswap-sqr`
1×	`distribute-lft-neg-out` `neg-sub0` `pow-flip` `div-sub` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 232

Calls

4 calls:

8.0ms	(/ (- t1) (+ t1 u))
15.0ms	(/ (+ t1 u) (* (/ (- t1) (+ t1 u)) v))
28.0ms	(* (/ (- t1) (+ t1 u)) v)
22.0ms	(/ 1 (/ (+ t1 u) (* (/ (- t1) (+ t1 u)) v)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ (- t1) (+ t1 u))
31.0ms	(/ (+ t1 u) (* (/ (- t1) (+ t1 u)) v))
72.0ms	(* (/ (- t1) (+ t1 u)) v)
119.0ms	(/ 1 (/ (+ t1 u) (* (/ (- t1) (+ t1 u)) v)))

simplify995.0ms

Counts

244 → 244

Iterations

Useful iterations: done (986.0ms)

Iter	Nodes	Cost
0	277	3398
1	679	3138
2	2101	2767
done	5001	2761

prune394.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	12	12
2	16	12
3	21	12
done	21	12

end0.0ms

sample383.0ms

Algorithm

intervals

Results

213.0ms

8254×

body

valid