Details

sample156.0ms

Algorithm

intervals

Results

32.0ms

262×

body

valid

simplify10.5s

Counts

1 → 1

Iterations

Iter	Nodes
12	5243
11	1284
10	681
9	461
8	399
7	365
6	329
5	270
4	221
3	134
2	65
1	25
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.8b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
19.8b	(/ (* (- 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×	`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:

24.0ms	(* (+ t1 u) (+ t1 u))
31.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (+ t1 u) (+ t1 u))
138.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify594.0ms

Counts

82 → 82

Iterations

Iter	Nodes
2	2026
1	421
0	118

prune752.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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)))

rewrite83.0ms

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:

16.0ms	(/ (- t1) (+ t1 u))
8.0ms	(/ v (+ t1 u))
52.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series254.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (- t1) (+ t1 u))
28.0ms	(/ v (+ t1 u))
168.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify5.9s

Counts

210 → 210

Iterations

Iter	Nodes
3	7633
2	1952
1	637
0	222

prune2.0s

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)

rewrite78.0ms

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:

20.0ms	(/ (- t1) (+ t1 u))
26.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
28.0ms	(* (/ (- t1) (+ t1 u)) v)

series359.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ (- t1) (+ t1 u))
171.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
126.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify12.0s

Counts

183 → 183

Iterations

Iter	Nodes
3	5751
2	1441
1	514
0	201

prune1.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

127×	`*-un-lft-identity`
105×	`times-frac`
76×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
54×	`add-exp-log`
47×	`associate-l`
34×	`add-cbrt-cube`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
22×	`prod-exp`
21×	`associate-r`
14×	`div-exp`
13×	`associate-/l*`
12×	`pow1` `cbrt-unprod`
9×	`neg-mul-1`
8×	`cbrt-undiv` `associate-/r*` `associate-/r/`
4×	`expm1-log1p-u` `rec-exp` `flip3-+` `1-exp` `pow-prod-down` `associate-*l/` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-frac-neg`
2×	`clear-num` `frac-2neg` `*-commutative` `unswap-sqr`
1×	`neg-sub0` `frac-times` `div-sub` `associate-*r/` `un-div-inv` `pow-flip` `inv-pow`

Counts

4 → 237

Calls

4 calls:

10.0ms	(/ (- t1) (+ t1 u))
14.0ms	(/ 1 (+ t1 u))
51.0ms	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
46.0ms	(* (/ (- t1) (+ t1 u)) v)

series391.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ (- t1) (+ t1 u))
49.0ms	(/ 1 (+ t1 u))
173.0ms	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
105.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify20.3s

Counts

249 → 249

Iterations

Iter	Nodes
3	7373
2	1925
1	662
0	253

prune2.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes131.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
6	44
5	44
4	41
3	30
2	19
1	15
0	10

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.2s

8248×

body

valid