Details

sample89.0ms

Algorithm

intervals

Results

14.0ms

261×

body

valid

simplify4.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
17.7b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite101.0ms

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

series161.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* (+ t1 u) (+ t1 u))
136.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.5s

Counts

76 → 76

Iterations

Useful iterations: done (1.4s)

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

prune165.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.0b	(/ (- t1) (+ t1 u))
1.2b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite154.0ms

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:

19.0ms	(/ v (+ t1 u))
17.0ms	(/ (- t1) (+ t1 u))
100.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series325.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ v (+ t1 u))
79.0ms	(/ (- t1) (+ t1 u))
211.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify1.8s

Counts

201 → 201

Iterations

Useful iterations: 2 (444.0ms)

Iter	Nodes	Cost
0	213	2501
1	579	2385
2	1816	2231
done	5001	2231

prune609.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ t1 u))
0.6b	(cbrt (+ t1 u))
0.6b	(cbrt (+ t1 u))
0.8b	(* (/ (* (cbrt t1) (cbrt t1)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (* (/ (- (cbrt t1)) (cbrt (+ t1 u))) (/ v (+ t1 u))))

rewrite359.0ms

Algorithm

rewrite-expression-head

Rules

134×	`add-exp-log`
84×	`add-cbrt-cube`
65×	`prod-exp` `cbrt-unprod`
40×	`cbrt-undiv` `div-exp`
18×	`cbrt-div`
14×	`*-un-lft-identity`
13×	`associate-l`
12×	`cbrt-prod`
9×	`pow1` `frac-times` `flip3-+` `flip-+`
8×	`add-sqr-sqrt` `add-cube-cbrt` `associate-/r/`
7×	`associate-*r/`
5×	`associate-*l/`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `distribute-lft-out`
1×	`distribute-lft-neg-out` `times-frac` `distribute-frac-neg` `associate-r` `*-commutative` `distribute-rgt-neg-out` `div-inv`

Counts

4 → 124

Calls

4 calls:

8.0ms	(cbrt (+ t1 u))
8.0ms	(cbrt (+ t1 u))
8.0ms	(cbrt (+ t1 u))
321.0ms	(* (/ (* (cbrt t1) (cbrt t1)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (* (/ (- (cbrt t1)) (cbrt (+ t1 u))) (/ v (+ t1 u))))

series698.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(cbrt (+ t1 u))
189.0ms	(cbrt (+ t1 u))
185.0ms	(cbrt (+ t1 u))
168.0ms	(* (/ (* (cbrt t1) (cbrt t1)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (* (/ (- (cbrt t1)) (cbrt (+ t1 u))) (/ v (+ t1 u))))

simplify2.9s

Counts

136 → 136

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	208	4158
1	648	3942
2	3062	2232
done	5000	1665

prune805.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.8b	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
2.2b	(* (/ (- t1) (+ t1 u)) v)

rewrite138.0ms

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:

26.0ms	(/ (- t1) (+ t1 u))
33.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
64.0ms	(* (/ (- t1) (+ t1 u)) v)

series349.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(/ (- t1) (+ t1 u))
176.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
96.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify1.7s

Counts

174 → 174

Iterations

Useful iterations: 2 (432.0ms)

Iter	Nodes	Cost
0	192	1973
1	467	1885
2	1497	1725
done	5000	1725

prune487.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify25.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	30
1	19	30
2	23	30
3	34	30
4	39	30
5	41	30
6	43	30
done	43	30

end0.0ms

sample689.0ms

Algorithm

intervals

Results

320.0ms

8258×

body

valid