Details

sample99.0ms

Algorithm

intervals

Results

16.0ms

268×

body

valid

simplify4.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
12	4196
11	1500
10	683
9	461
8	399
7	365
6	329
5	270
4	221
3	134
2	65
1	25
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.9b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite84.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 74

Calls

2 calls:

60.0ms	(* (+ t1 u) (+ t1 u))
19.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series157.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(* (+ t1 u) (+ t1 u))
137.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.5s

Counts

80 → 80

Iterations

Iter	Nodes
done	5105
2	1996
1	425
0	116

prune370.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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)))

rewrite118.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 198

Calls

3 calls:

12.0ms	(/ (- t1) (+ t1 u))
13.0ms	(/ v (+ t1 u))
86.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series288.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ (- t1) (+ t1 u))
50.0ms	(/ v (+ t1 u))
182.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify1.9s

Counts

207 → 207

Iterations

Iter	Nodes
done	5001
2	2404
1	653
0	219

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize29.0ms

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)

rewrite141.0ms

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×	`expm1-log1p-u` `flip3-+` `associate-r` `flip-+` `log1p-expm1-u` `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 → 171

Calls

3 calls:

26.0ms	(/ (- t1) (+ t1 u))
40.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
65.0ms	(* (/ (- t1) (+ t1 u)) v)

series372.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(/ (- t1) (+ t1 u))
199.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
104.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify1.8s

Counts

180 → 180

Iterations

Iter	Nodes
done	5002
2	1674
1	525
0	198

prune944.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

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)

rewrite138.0ms

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×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `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 → 240

Calls

4 calls:

13.0ms	(/ (- t1) (+ t1 u))
43.0ms	(/ 1 (/ (+ t1 u) (* (/ (- t1) (+ t1 u)) v)))
35.0ms	(/ (+ t1 u) (* (/ (- t1) (+ t1 u)) v))
33.0ms	(* (/ (- t1) (+ t1 u)) v)

series359.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ (- t1) (+ t1 u))
154.0ms	(/ 1 (/ (+ t1 u) (* (/ (- t1) (+ t1 u)) v)))
43.0ms	(/ (+ t1 u) (* (/ (- t1) (+ t1 u)) v))
114.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify1.8s

Counts

252 → 252

Iterations

Iter	Nodes
done	5002
2	2379
1	742
0	285

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes217.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

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

end0.0ms

sample1.3s

Algorithm

intervals

Results

924.0ms

8274×

body

valid