Details

sample115.0ms

Algorithm

intervals

Results

20.0ms

260×

body

valid

simplify1.8s

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	235	12
5	350	12
6	405	12
7	429	12
8	469	12
9	548	12
10	1230	12
done	5000	12

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.9b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
16.6b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite139.0ms

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:

79.0ms	(* (+ t1 u) (+ t1 u))
51.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series191.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (+ t1 u) (+ t1 u))
159.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify3.4s

Counts

76 → 76

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	113	1078
1	428	994
2	3243	834
done	5002	831

prune396.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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)))

rewrite226.0ms

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:

23.0ms	(/ v (+ t1 u))
31.0ms	(/ (- t1) (+ t1 u))
154.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series380.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ v (+ t1 u))
78.0ms	(/ (- t1) (+ t1 u))
252.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify3.4s

Counts

201 → 201

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	213	2501
1	646	2395
2	3706	2249
done	5000	2231

prune1.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- t1))
0.6b	(cbrt (- t1))
0.6b	(cbrt (- t1))
1.0b	(* (/ (* (cbrt (- t1)) (cbrt (- t1))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (* (/ (cbrt (- t1)) (cbrt (+ t1 u))) (/ v (+ t1 u))))

rewrite372.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 135

Calls

4 calls:

4.0ms	(cbrt (- t1))
4.0ms	(cbrt (- t1))
5.0ms	(cbrt (- t1))
345.0ms	(* (/ (* (cbrt (- t1)) (cbrt (- t1))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (* (/ (cbrt (- t1)) (cbrt (+ t1 u))) (/ v (+ t1 u))))

series1.7s

Counts

4 → 12

Calls

4 calls:

432.0ms	(cbrt (- t1))
423.0ms	(cbrt (- t1))
422.0ms	(cbrt (- t1))
397.0ms	(* (/ (* (cbrt (- t1)) (cbrt (- t1))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (* (/ (cbrt (- t1)) (cbrt (+ t1 u))) (/ v (+ t1 u))))

simplify4.2s

Counts

147 → 147

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	193	4153
1	683	3923
2	3904	2216
done	5001	1571

prune888.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
1.0b	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
3.2b	(* (/ (- t1) (+ t1 u)) v)

rewrite179.0ms

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:

28.0ms	(/ (- t1) (+ t1 u))
58.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
78.0ms	(* (/ (- t1) (+ t1 u)) v)

series478.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(/ (- t1) (+ t1 u))
245.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
152.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify2.7s

Counts

174 → 174

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	192	1973
1	514	1891
2	2824	1745
done	5000	1737

prune1.5s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes348.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	32
1	17	32
done	17	32

end0.0ms

sample1.3s

Algorithm

intervals

Results

739.0ms

8260×

body

valid