Details

sample138.0ms

Algorithm

intervals

Results

21.0ms

266×

body

valid

simplify4.3s

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: 18.7b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
18.6b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite56.0ms

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:

32.0ms	(* (+ t1 u) (+ t1 u))
20.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series139.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(* (+ t1 u) (+ t1 u))
117.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.5s

Counts

82 → 82

Iterations

Iter	Nodes
done	5032
2	2031
1	427
0	118

prune260.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ v (+ t1 u))
1.5b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

76×	`*-un-lft-identity`
68×	`times-frac`
54×	`add-sqr-sqrt`
46×	`associate-l`
42×	`add-cube-cbrt`
18×	`associate-r`
17×	`distribute-lft-out`
16×	`add-cbrt-cube` `add-exp-log`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
6×	`associate-/r/`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-/r*` `neg-mul-1` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-neg-out` `frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `distribute-frac-neg` `*-commutative`

Counts

2 → 128

Calls

2 calls:

8.0ms	(/ v (+ t1 u))
42.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series204.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ v (+ t1 u))
175.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify2.0s

Counts

134 → 134

Iterations

Iter	Nodes
done	5001
2	2046
1	531
0	177

prune553.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.6b	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
2.4b	(* (/ (- t1) (+ t1 u)) v)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
46×	`associate-l`
45×	`times-frac`
33×	`add-sqr-sqrt`
28×	`add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-lft-out`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-/r*` `neg-mul-1` `prod-exp` `associate-/r/` `cbrt-unprod`
3×	`associate-r` `distribute-frac-neg`
2×	`distribute-lft-neg-out` `expm1-log1p-u` `flip3-+` `associate-*l/` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `associate-/l` `associate-/l/`

Counts

2 → 101

Calls

2 calls:

17.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
27.0ms	(* (/ (- t1) (+ t1 u)) v)

series262.0ms

Counts

2 → 6

Calls

2 calls:

168.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
93.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify1.6s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	1360
1	398
0	153

prune430.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ t1 u))
0.7b	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
2.4b	(* (/ (- t1) (+ t1 u)) v)

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
65×	`times-frac`
51×	`add-exp-log`
49×	`add-sqr-sqrt`
47×	`associate-l`
44×	`add-cube-cbrt`
31×	`add-cbrt-cube`
22×	`prod-exp`
21×	`associate-r`
17×	`distribute-lft-out`
13×	`div-exp`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `cbrt-unprod`
11×	`pow1`
7×	`cbrt-undiv`
6×	`associate-/r/`
4×	`rec-exp` `associate-/r` `neg-mul-1` `1-exp` `pow-prod-down` `associate-l/`
3×	`distribute-lft-neg-out` `expm1-log1p-u` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
2×	`distribute-frac-neg` `*-commutative` `unswap-sqr`
1×	`frac-times` `clear-num` `frac-2neg` `associate-*r/` `un-div-inv` `pow-flip` `inv-pow`

Counts

3 → 164

Calls

3 calls:

8.0ms	(/ 1 (+ t1 u))
51.0ms	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
39.0ms	(* (/ (- t1) (+ t1 u)) v)

series324.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ 1 (+ t1 u))
163.0ms	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
118.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify2.0s

Counts

173 → 173

Iterations

Iter	Nodes
done	5000
2	1807
1	556
0	209

prune627.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes175.0ms

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	25
4	25
3	23
2	16
1	12
0	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

922.0ms

8267×

body

valid