Details

sample63.0ms

Algorithm

intervals

Results

11.0ms

262×

body

valid

simplify4.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	12
1	25	12
2	65	12
3	132	12
4	198	12
5	238	12
6	274	12
7	294	12
8	334	12
9	407	12
10	528	12
11	1310	12
done	5000	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.5b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
18.2b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite92.0ms

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:

39.0ms	(* (+ t1 u) (+ t1 u))
49.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series138.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(* (+ t1 u) (+ t1 u))
121.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.4s

Counts

76 → 76

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	113	1078
1	365	990
2	1712	834
done	5000	831

prune204.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.0b	(/ (- t1) (+ t1 u))
2.3b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite160.0ms

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:

22.0ms	(/ v (+ t1 u))
29.0ms	(/ (- t1) (+ t1 u))
90.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series312.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ v (+ t1 u))
75.0ms	(/ (- t1) (+ t1 u))
183.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify1.5s

Counts

201 → 201

Iterations

Useful iterations: 2 (358.0ms)

Iter	Nodes	Cost
0	213	2501
1	579	2385
2	1816	2231
done	5001	2231

prune516.0ms

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	(/ (- t1) (+ t1 u))
0.2b	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
3.3b	(* (/ (- t1) (+ t1 u)) v)

rewrite139.0ms

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:

15.0ms	(/ (- t1) (+ t1 u))
50.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
66.0ms	(* (/ (- t1) (+ t1 u)) v)

series367.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ (- t1) (+ t1 u))
200.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
108.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify1.6s

Counts

174 → 174

Iterations

Useful iterations: 2 (373.0ms)

Iter	Nodes	Cost
0	192	1973
1	467	1885
2	1497	1725
done	5000	1725

prune502.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ 1 (+ t1 u))
0.3b	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
3.3b	(* (/ (- t1) (+ t1 u)) v)

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

127×	`*-un-lft-identity`
105×	`times-frac`
76×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
54×	`add-exp-log`
47×	`associate-l`
34×	`add-cbrt-cube`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
22×	`prod-exp`
21×	`associate-r`
14×	`div-exp`
13×	`associate-/l*`
12×	`pow1` `cbrt-unprod`
9×	`neg-mul-1`
8×	`cbrt-undiv` `associate-/r*` `associate-/r/`
4×	`rec-exp` `flip3-+` `1-exp` `pow-prod-down` `associate-*l/` `flip-+` `div-inv` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-frac-neg`
2×	`frac-2neg` `clear-num` `*-commutative` `unswap-sqr`
1×	`neg-sub0` `frac-times` `pow-flip` `div-sub` `associate-*r/` `un-div-inv` `inv-pow`

Counts

4 → 225

Calls

4 calls:

16.0ms	(/ (- t1) (+ t1 u))
23.0ms	(/ 1 (+ t1 u))
119.0ms	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
87.0ms	(* (/ (- t1) (+ t1 u)) v)

series352.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ (- t1) (+ t1 u))
39.0ms	(/ 1 (+ t1 u))
135.0ms	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
112.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify1.8s

Counts

237 → 237

Iterations

Useful iterations: 2 (549.0ms)

Iter	Nodes	Cost
0	241	2809
1	589	2513
2	2013	2243
done	5001	2243

prune664.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes116.0ms

Accuracy

0% (1.4b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	12	12
2	16	12
3	23	12
done	23	12

end0.0ms

sample1.3s

Algorithm

intervals

Results

994.0ms

8271×

body

valid