Details

sample104.0ms

Algorithm

intervals

Results

14.0ms

264×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	8	12
1	25	12
2	65	12
3	132	12
4	235	12
5	350	12
6	405	12
7	429	12
8	469	12
9	548	12
10	1230	12
done	5000	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.7b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
16.4b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite127.0ms

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:

83.0ms	(* (+ t1 u) (+ t1 u))
36.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series171.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(* (+ t1 u) (+ t1 u))
154.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify2.1s

Counts

76 → 76

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	113	1078
1	428	994
2	3243	834
done	5002	831

prune213.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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)))

rewrite116.0ms

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:

15.0ms	(/ (- t1) (+ t1 u))
12.0ms	(/ v (+ t1 u))
77.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series311.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(/ (- t1) (+ t1 u))
49.0ms	(/ v (+ t1 u))
178.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify2.3s

Counts

201 → 201

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	213	2501
1	646	2395
2	3670	2241
done	5000	2231

prune583.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.4b	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
9.0b	(* (- t1) (/ v (+ t1 u)))

rewrite134.0ms

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:

17.0ms	(/ v (+ t1 u))
48.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
65.0ms	(* (- t1) (/ v (+ t1 u)))

series218.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ v (+ t1 u))
121.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
64.0ms	(* (- t1) (/ v (+ t1 u)))

simplify1.7s

Counts

116 → 116

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	136	1312
1	406	1244
2	2662	1104
done	5001	1090

prune332.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ t1 u) v)
0.4b	(/ (* (- t1) (/ 1 (/ (+ t1 u) v))) (+ t1 u))
0.4b	(/ 1 (/ (+ t1 u) v))
9.0b	(* (- t1) (/ 1 (/ (+ t1 u) v)))

rewrite228.0ms

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:

27.0ms	(/ (+ t1 u) v)
51.0ms	(/ (* (- t1) (/ 1 (/ (+ t1 u) v))) (+ t1 u))
22.0ms	(/ 1 (/ (+ t1 u) v))
115.0ms	(* (- t1) (/ 1 (/ (+ t1 u) v)))

series436.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (+ t1 u) v)
195.0ms	(/ (* (- t1) (/ 1 (/ (+ t1 u) v))) (+ t1 u))
90.0ms	(/ 1 (/ (+ t1 u) v))
115.0ms	(* (- t1) (/ 1 (/ (+ t1 u) v)))

simplify657.0ms

Counts

259 → 259

Iterations

Useful iterations: done (645.0ms)

Iter	Nodes	Cost
0	282	3603
1	923	3034
done	5000	2646

prune559.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes98.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	12	12
2	18	12
3	21	12
done	21	12

end0.0ms

sample1.0s

Algorithm

intervals

Results

607.0ms

8252×

body

valid