Details

sample122.0ms

Algorithm

intervals

Results

20.0ms

265×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	1226
9	555
8	476
7	436
6	412
5	356
4	239
3	132
2	65
1	25
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
18.0b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite76.0ms

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:

37.0ms	(* (+ t1 u) (+ t1 u))
36.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series140.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* (+ t1 u) (+ t1 u))
113.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify2.0s

Counts

78 → 78

Iterations

Iter	Nodes
done	5002
2	3296
1	424
0	114

prune285.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ v (+ t1 u))
2.0b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite79.0ms

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:

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

series297.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(/ (- t1) (+ t1 u))
50.0ms	(/ v (+ t1 u))
170.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify2.2s

Counts

204 → 204

Iterations

Iter	Nodes
done	5001
2	3679
1	649
0	216

prune789.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.3b	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
7.9b	(* (- t1) (/ v (+ t1 u)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
29×	`times-frac`
25×	`add-cube-cbrt`
19×	`add-cbrt-cube` `add-exp-log`
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-+` `insert-posit16` `div-inv` `add-log-exp`
2×	`distribute-lft-neg-out` `clear-num` `frac-2neg` `associate-*r/` `unswap-sqr`
1×	`neg-mul-1` `pow-prod-down` `distribute-frac-neg` `*-commutative` `associate-/l/`

Counts

3 → 110

Calls

3 calls:

16.0ms	(/ v (+ t1 u))
19.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
19.0ms	(* (- t1) (/ v (+ t1 u)))

series208.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ v (+ t1 u))
109.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
71.0ms	(* (- t1) (/ v (+ t1 u)))

simplify1.6s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
2	2651
1	407
0	139

prune516.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ 1 (+ t1 u))
0.2b	(* v (/ 1 (+ t1 u)))
2.0b	(* (/ (- t1) (+ t1 u)) (* v (/ 1 (+ t1 u))))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

128×	`*-un-lft-identity`
106×	`times-frac`
78×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
54×	`add-exp-log`
49×	`associate-l`
34×	`add-cbrt-cube`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
22×	`prod-exp`
19×	`associate-r`
14×	`div-exp`
13×	`associate-/l*`
12×	`pow1` `cbrt-unprod`
9×	`neg-mul-1`
8×	`cbrt-undiv` `associate-/r*` `associate-/r/`
5×	`associate-*r/`
4×	`rec-exp` `flip3-+` `1-exp` `pow-prod-down` `flip-+` `insert-posit16` `div-inv` `add-log-exp`
3×	`un-div-inv` `unswap-sqr`
2×	`frac-times` `clear-num` `frac-2neg` `distribute-frac-neg` `*-commutative`
1×	`distribute-lft-neg-out` `neg-sub0` `div-sub` `associate-*l/` `pow-flip` `inv-pow`

Counts

4 → 231

Calls

4 calls:

10.0ms	(/ (- t1) (+ t1 u))
16.0ms	(/ 1 (+ t1 u))
39.0ms	(* v (/ 1 (+ t1 u)))
55.0ms	(* (/ (- t1) (+ t1 u)) (* v (/ 1 (+ t1 u))))

series319.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ (- t1) (+ t1 u))
53.0ms	(/ 1 (+ t1 u))
28.0ms	(* v (/ 1 (+ t1 u)))
178.0ms	(* (/ (- t1) (+ t1 u)) (* v (/ 1 (+ t1 u))))

simplify2.6s

Counts

243 → 243

Iterations

Iter	Nodes
done	5000
2	4176
1	718
0	244

prune871.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes166.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify4.0ms

Iterations

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

end0.0ms

sample942.0ms

Algorithm

intervals

Results

721.0ms

8278×

body

valid