Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

269×

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	1359	12
done	5000	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
17.4b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite33.0ms

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:

17.0ms	(* (+ t1 u) (+ t1 u))
13.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(* (+ t1 u) (+ t1 u))
71.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify577.0ms

Counts

76 → 76

Iterations

Useful iterations: 2 (146.0ms)

Iter	Nodes	Cost
0	113	1078
1	369	990
2	1743	834
done	5001	834

prune125.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.7b	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
6.6b	(* (- t1) (/ v (+ t1 u)))

rewrite38.0ms

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

series145.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ v (+ t1 u))
67.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
50.0ms	(* (- t1) (/ v (+ t1 u)))

simplify580.0ms

Counts

116 → 116

Iterations

Useful iterations: 2 (160.0ms)

Iter	Nodes	Cost
0	136	1312
1	385	1236
2	1672	1090
done	5000	1090

prune217.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ t1 u) v)
0.6b	(/ 1 (/ (+ t1 u) v))
0.7b	(/ (* (- t1) (/ 1 (/ (+ t1 u) v))) (+ t1 u))
6.6b	(* (- t1) (/ 1 (/ (+ t1 u) v)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

202×	`times-frac`
164×	`*-un-lft-identity`
122×	`add-sqr-sqrt`
108×	`add-cube-cbrt`
64×	`add-exp-log`
53×	`associate-r`
34×	`add-cbrt-cube`
30×	`div-exp`
27×	`distribute-lft-out`
23×	`associate-/r*`
14×	`cbrt-undiv` `prod-exp`
11×	`div-inv`
10×	`associate-l`
8×	`associate-/l*`
7×	`pow1`
6×	`rec-exp` `1-exp` `cbrt-unprod`
5×	`unswap-sqr`
4×	`associate-/r/` `associate-/l/` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `frac-2neg` `clear-num`
2×	`distribute-lft-neg-out` `flip3-+` `associate-*r/` `un-div-inv` `flip-+`
1×	`neg-mul-1` `pow-flip` `distribute-frac-neg` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 247

Calls

4 calls:

8.0ms	(/ (+ t1 u) v)
9.0ms	(/ 1 (/ (+ t1 u) v))
16.0ms	(/ (* (- t1) (/ 1 (/ (+ t1 u) v))) (+ t1 u))
39.0ms	(* (- t1) (/ 1 (/ (+ t1 u) v)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ (+ t1 u) v)
57.0ms	(/ 1 (/ (+ t1 u) v))
119.0ms	(/ (* (- t1) (/ 1 (/ (+ t1 u) v))) (+ t1 u))
75.0ms	(* (- t1) (/ 1 (/ (+ t1 u) v)))

simplify1.0s

Counts

259 → 259

Iterations

Useful iterations: 2 (373.0ms)

Iter	Nodes	Cost
0	282	3603
1	829	2884
2	2528	2483
done	5001	2483

prune542.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ u t1))
0.7b	(/ (* (/ (- t1) (+ u t1)) v) (+ t1 u))
4.0b	(* (/ (- t1) (+ u t1)) v)

rewrite55.0ms

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:

7.0ms	(/ (- t1) (+ u t1))
13.0ms	(/ (* (/ (- t1) (+ u t1)) v) (+ t1 u))
28.0ms	(* (/ (- t1) (+ u t1)) v)

series229.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ (- t1) (+ u t1))
114.0ms	(/ (* (/ (- t1) (+ u t1)) v) (+ t1 u))
74.0ms	(* (/ (- t1) (+ u t1)) v)

simplify671.0ms

Counts

174 → 174

Iterations

Useful iterations: 2 (197.0ms)

Iter	Nodes	Cost
0	204	1973
1	494	1885
2	1568	1725
done	5000	1725

prune304.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	12	12
2	16	12
3	21	12
done	21	12

end0.0ms

sample381.0ms

Algorithm

intervals

Results

216.0ms

8265×

body

valid