Details

sample117.0ms

Algorithm

intervals

Results

23.0ms

262×

body

valid

simplify9.1s

Counts

1 → 1

Iterations

Iter	Nodes
12	4599
11	1092
10	536
9	373
8	319
7	285
6	269
5	223
4	188
3	122
2	63
1	25
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.8b

localize37.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
19.8b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite55.0ms

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×	`insert-posit16` `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 → 72

Calls

2 calls:

22.0ms	(* (+ t1 u) (+ t1 u))
30.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series157.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (+ t1 u) (+ t1 u))
126.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify7.2s

Counts

78 → 78

Iterations

Iter	Nodes
3	14366
2	1945
1	413
0	114

prune732.0ms

Pruning

5 alts after pruning (5 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))
0.8b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite59.0ms

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×	`insert-posit16` `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 → 195

Calls

3 calls:

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

series295.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(/ (- t1) (+ t1 u))
45.0ms	(/ v (+ t1 u))
176.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify5.4s

Counts

204 → 204

Iterations

Iter	Nodes
3	7619
2	1927
1	627
0	216

prune1.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.1b	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
2.7b	(* (/ (- t1) (+ t1 u)) v)

rewrite66.0ms

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×	`flip3-+` `associate-r` `flip-+` `insert-posit16` `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 → 168

Calls

3 calls:

11.0ms	(/ (- t1) (+ t1 u))
18.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
28.0ms	(* (/ (- t1) (+ t1 u)) v)

series337.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(/ (- t1) (+ t1 u))
181.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
96.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify13.1s

Counts

177 → 177

Iterations

Iter	Nodes
3	5764
2	1420
1	502
0	195

prune1.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ t1 u))
0.1b	(/ (* (* (- t1) (/ 1 (+ t1 u))) v) (+ t1 u))
0.2b	(* (- t1) (/ 1 (+ t1 u)))
2.7b	(* (* (- t1) (/ 1 (+ t1 u))) v)

rewrite142.0ms

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`
21×	`associate-r`
14×	`div-exp`
12×	`pow1` `cbrt-unprod`
11×	`associate-l`
9×	`distribute-lft-out`
8×	`cbrt-undiv` `associate-/r*`
6×	`associate-/r/`
5×	`distribute-lft-neg-out`
4×	`rec-exp` `1-exp` `pow-prod-down` `associate-l/` `insert-posit16` `associate-/l` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3-+` `associate-*r/` `un-div-inv` `flip-+` `div-inv` `unswap-sqr`
2×	`clear-num` `frac-2neg` `*-commutative` `associate-/l/`
1×	`neg-mul-1` `distribute-frac-neg` `pow-flip` `inv-pow`

Counts

4 → 149

Calls

4 calls:

8.0ms	(/ 1 (+ t1 u))
54.0ms	(/ (* (* (- t1) (/ 1 (+ t1 u))) v) (+ t1 u))
21.0ms	(* (- t1) (/ 1 (+ t1 u)))
57.0ms	(* (* (- t1) (/ 1 (+ t1 u))) v)

series441.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ 1 (+ t1 u))
198.0ms	(/ (* (* (- t1) (/ 1 (+ t1 u))) v) (+ t1 u))
57.0ms	(* (- t1) (/ 1 (+ t1 u)))
121.0ms	(* (* (- t1) (/ 1 (+ t1 u))) v)

simplify1.2m

Counts

161 → 161

Iterations

Iter	Nodes
3	8418
2	1887
1	499
0	173

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes135.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
5	36
4	36
3	34
2	23
1	15
0	10

end0.0ms

sample1.1s

Algorithm

intervals

Results

796.0ms

8248×

body

valid