Details

sample129.0ms

Algorithm

intervals

Results

11.0ms

268×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5026
12	3812
11	1306
10	538
9	373
8	319
7	285
6	269
5	223
4	188
3	122
2	63
1	25
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.9b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 70

Calls

2 calls:

33.0ms	(* (+ t1 u) (+ t1 u))
39.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series174.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (+ t1 u) (+ t1 u))
146.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.4s

Counts

76 → 76

Iterations

Iter	Nodes
done	5128
2	1960
1	416
0	112

prune344.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite152.0ms

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-cbrt-cube` `add-exp-log`
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×	`clear-num` `frac-2neg` `distribute-frac-neg`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 192

Calls

3 calls:

20.0ms	(/ (- t1) (+ t1 u))
17.0ms	(/ v (+ t1 u))
107.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series294.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(/ (- t1) (+ t1 u))
42.0ms	(/ v (+ t1 u))
168.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify2.1s

Counts

201 → 201

Iterations

Iter	Nodes
done	5000
2	2392
1	644
0	213

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.6b	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
3.1b	(* (/ (- t1) (+ t1 u)) v)

rewrite90.0ms

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-cbrt-cube` `add-exp-log`
11×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*`
6×	`cbrt-undiv` `div-exp` `associate-/r/`
5×	`pow1`
4×	`prod-exp` `distribute-frac-neg` `cbrt-unprod`
3×	`flip3-+` `associate-r` `flip-+` `div-inv` `add-log-exp`
2×	`distribute-lft-neg-out` `clear-num` `frac-2neg` `associate-*l/` `unswap-sqr`
1×	`neg-sub0` `div-sub` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 165

Calls

3 calls:

16.0ms	(/ (- t1) (+ t1 u))
23.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
40.0ms	(* (/ (- t1) (+ t1 u)) v)

series329.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/ (- t1) (+ t1 u))
159.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
106.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify2.0s

Counts

174 → 174

Iterations

Iter	Nodes
done	5003
2	1613
1	513
0	192

prune856.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.2b	(/ 1 (/ (+ t1 u) (* (/ (- t1) (+ t1 u)) v)))
0.6b	(/ (+ t1 u) (* (/ (- t1) (+ t1 u)) v))
3.1b	(* (/ (- t1) (+ t1 u)) v)

rewrite127.0ms

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×	`clear-num` `frac-2neg` `flip3-+` `associate-r` `flip-+`
2×	`distribute-frac-neg` `unswap-sqr` `associate-/l/`
1×	`distribute-lft-neg-out` `neg-sub0` `div-sub` `pow-prod-down` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 232

Calls

4 calls:

11.0ms	(/ (- t1) (+ t1 u))
31.0ms	(/ 1 (/ (+ t1 u) (* (/ (- t1) (+ t1 u)) v)))
35.0ms	(/ (+ t1 u) (* (/ (- t1) (+ t1 u)) v))
40.0ms	(* (/ (- t1) (+ t1 u)) v)

series494.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ (- t1) (+ t1 u))
227.0ms	(/ 1 (/ (+ t1 u) (* (/ (- t1) (+ t1 u)) v)))
69.0ms	(/ (+ t1 u) (* (/ (- t1) (+ t1 u)) v))
146.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify2.0s

Counts

244 → 244

Iterations

Iter	Nodes
done	5001
2	2283
1	721
0	277

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes203.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	25
4	25
3	23
2	16
1	12
0	8

end0.0ms

sample801.0ms

Algorithm

intervals

Results

536.0ms

8274×

body

valid