Details

sample167.0ms

Algorithm

intervals

Results

19.0ms

260×

body

valid

simplify4.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
12	4196
11	1500
10	683
9	461
8	399
7	365
6	329
5	270
4	221
3	134
2	65
1	25
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.4b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite81.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 76

Calls

2 calls:

39.0ms	(* (+ t1 u) (+ t1 u))
38.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series159.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* (+ t1 u) (+ t1 u))
131.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.6s

Counts

82 → 82

Iterations

Iter	Nodes
done	5032
2	2031
1	427
0	118

prune321.0ms

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))
2.2b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite168.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 201

Calls

3 calls:

18.0ms	(/ (- t1) (+ t1 u))
22.0ms	(/ v (+ t1 u))
122.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series262.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (- t1) (+ t1 u))
32.0ms	(/ v (+ t1 u))
176.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify2.0s

Counts

210 → 210

Iterations

Iter	Nodes
done	5000
2	2452
1	656
0	222

prune849.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.5b	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
2.7b	(* (/ (- t1) (+ t1 u)) v)

rewrite134.0ms

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×	`expm1-log1p-u` `flip3-+` `associate-r` `flip-+` `insert-posit16` `log1p-expm1-u` `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 → 174

Calls

3 calls:

14.0ms	(/ (- t1) (+ t1 u))
43.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
71.0ms	(* (/ (- t1) (+ t1 u)) v)

series422.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(/ (- t1) (+ t1 u))
212.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
136.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify1.6s

Counts

183 → 183

Iterations

Iter	Nodes
done	5002
2	1653
1	528
0	201

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ v (+ t1 u))
0.0b	(/ 1 (+ t1 u))
0.1b	(* (- t1) (/ 1 (+ t1 u)))
2.2b	(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

70×	`*-un-lft-identity`
54×	`add-exp-log`
50×	`times-frac`
48×	`add-sqr-sqrt`
41×	`add-cube-cbrt`
36×	`associate-r`
34×	`add-cbrt-cube`
22×	`prod-exp`
14×	`div-exp` `distribute-lft-out`
12×	`pow1` `cbrt-unprod`
11×	`associate-l`
8×	`cbrt-undiv` `associate-/r*` `associate-/r/`
6×	`associate-/l*`
4×	`expm1-log1p-u` `rec-exp` `flip3-+` `1-exp` `pow-prod-down` `associate-*r/` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in` `un-div-inv` `unswap-sqr`
2×	`frac-times` `clear-num` `frac-2neg` `associate-l/` `-commutative`
1×	`neg-mul-1` `pow-flip` `inv-pow`

Counts

4 → 182

Calls

4 calls:

11.0ms	(/ v (+ t1 u))
12.0ms	(/ 1 (+ t1 u))
34.0ms	(* (- t1) (/ 1 (+ t1 u)))
93.0ms	(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

series297.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ v (+ t1 u))
50.0ms	(/ 1 (+ t1 u))
45.0ms	(* (- t1) (/ 1 (+ t1 u)))
160.0ms	(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

simplify2.1s

Counts

194 → 194

Iterations

Iter	Nodes
done	5000
2	2367
1	577
0	201

prune688.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes145.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	25
4	25
3	23
2	16
1	12
0	8

end0.0ms

sample829.0ms

Algorithm

intervals

Results

604.0ms

8276×

body

valid