Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

264×

body

valid

simplify1.5s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
19.6b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite32.0ms

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:

20.0ms	(* (+ t1 u) (+ t1 u))
10.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(* (+ t1 u) (+ t1 u))
68.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify583.0ms

Counts

76 → 76

Iterations

Useful iterations: 2 (175.0ms)

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

prune121.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.1b	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
8.4b	(* (- t1) (/ v (+ t1 u)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
29×	`times-frac`
25×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r`
10×	`associate-l`
9×	`distribute-lft-out`
8×	`associate-/r*`
6×	`cbrt-undiv` `div-exp` `associate-/r/`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3-+` `flip-+` `div-inv` `add-log-exp`
2×	`distribute-lft-neg-out` `frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`neg-mul-1` `distribute-frac-neg` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 107

Calls

3 calls:

5.0ms	(/ v (+ t1 u))
10.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
20.0ms	(* (- t1) (/ v (+ t1 u)))

series144.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ v (+ t1 u))
70.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
47.0ms	(* (- t1) (/ v (+ t1 u)))

simplify613.0ms

Counts

116 → 116

Iterations

Useful iterations: 2 (239.0ms)

Iter	Nodes	Cost
0	136	1312
1	385	1236
2	1641	1090
done	5000	1090

prune224.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ t1 u))
0.1b	(/ (* (- t1) (* v (/ 1 (+ t1 u)))) (+ t1 u))
0.2b	(* v (/ 1 (+ t1 u)))
8.4b	(* (- t1) (* v (/ 1 (+ t1 u))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 144

Calls

4 calls:

5.0ms	(/ 1 (+ t1 u))
24.0ms	(/ (* (- t1) (* v (/ 1 (+ t1 u)))) (+ t1 u))
15.0ms	(* v (/ 1 (+ t1 u)))
19.0ms	(* (- t1) (* v (/ 1 (+ t1 u))))

series175.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ 1 (+ t1 u))
68.0ms	(/ (* (- t1) (* v (/ 1 (+ t1 u)))) (+ t1 u))
26.0ms	(* v (/ 1 (+ t1 u)))
47.0ms	(* (- t1) (* v (/ 1 (+ t1 u))))

simplify581.0ms

Counts

156 → 156

Iterations

Useful iterations: 2 (168.0ms)

Iter	Nodes	Cost
0	165	1847
1	455	1471
2	1489	1231
done	5000	1231

prune247.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ u t1) v)
0.1b	(/ (/ (- t1) (/ (+ u t1) v)) (+ t1 u))
8.5b	(/ (- t1) (/ (+ u t1) v))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

2364×	`times-frac`
1668×	`*-un-lft-identity`
962×	`add-sqr-sqrt` `add-cube-cbrt`
353×	`distribute-lft-out`
291×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
179×	`associate-/l*`
97×	`neg-mul-1`
69×	`div-inv`
23×	`associate-/r*`
19×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
8×	`associate-/r/`
3×	`pow1` `frac-2neg` `div-sub` `distribute-frac-neg` `clear-num` `associate-/l/` `add-log-exp`
2×	`neg-sub0` `flip3-+` `flip-+`

Counts

3 → 1086

Calls

3 calls:

8.0ms	(/ (+ u t1) v)
56.0ms	(/ (/ (- t1) (/ (+ u t1) v)) (+ t1 u))
12.0ms	(/ (- t1) (/ (+ u t1) v))

series209.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ (+ u t1) v)
114.0ms	(/ (/ (- t1) (/ (+ u t1) v)) (+ t1 u))
75.0ms	(/ (- t1) (/ (+ u t1) v))

simplify1.1s

Counts

1095 → 1095

Iterations

Useful iterations: 1 (698.0ms)

Iter	Nodes	Cost
0	1109	25923
1	2707	23821
done	5000	23821

prune2.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	17	14
2	22	14
3	29	14
4	31	14
done	31	14

end0.0ms

sample384.0ms

Algorithm

intervals

Results

217.0ms

8268×

body

valid