Details

sample105.0ms

Algorithm

intervals

Results

20.0ms

266×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5026
12	3812
11	1306
10	538
9	373
8	319
7	285
6	269
5	223
4	188
3	122
2	63
1	25
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.7b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

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

series145.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(* (+ t1 u) (+ t1 u))
122.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.5s

Counts

78 → 78

Iterations

Iter	Nodes
done	5032
2	1948
1	419
0	114

prune311.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite65.0ms

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×	`insert-posit16` `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 → 124

Calls

2 calls:

16.0ms	(/ v (+ t1 u))
46.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series189.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ v (+ t1 u))
152.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify1.7s

Counts

130 → 130

Iterations

Iter	Nodes
done	5001
2	1997
1	520
0	173

prune494.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

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` `flip3-+` `associate-*l/` `flip-+` `insert-posit16` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `associate-/l` `associate-/l/`

Counts

2 → 97

Calls

2 calls:

18.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
26.0ms	(* (/ (- t1) (+ t1 u)) v)

series293.0ms

Counts

2 → 6

Calls

2 calls:

183.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
110.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify1.6s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1337
1	391
0	149

prune447.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

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)

rewrite91.0ms

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` `flip3-+` `flip-+` `insert-posit16` `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 → 158

Calls

3 calls:

8.0ms	(/ 1 (+ t1 u))
56.0ms	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
25.0ms	(* (/ (- t1) (+ t1 u)) v)

series345.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(/ 1 (+ t1 u))
166.0ms	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
119.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify2.1s

Counts

167 → 167

Iterations

Iter	Nodes
done	5001
2	1789
1	554
0	203

prune589.0ms

Pruning

5 alts after pruning (3 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

simplify5.0ms

Iterations

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

end0.0ms

sample777.0ms

Algorithm

intervals

Results

563.0ms

8267×

body

valid