Details

sample61.0ms

Algorithm

intervals

Results

12.0ms

261×

body

valid

simplify5.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	12
1	25	12
2	67	12
3	144	12
4	230	12
5	288	12
6	339	12
7	378	12
8	422	12
9	507	12
10	686	12
11	1575	12
done	5001	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
19.7b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
9×	`pow1`
8×	`add-sqr-sqrt` `frac-times` `associate-/r/`
6×	`add-cube-cbrt` `swap-sqr` `distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-r/` `div-exp` `associate-r` `associate-l` `associate-l/`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-neg-out` `pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `pow-plus` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 74

Calls

2 calls:

37.0ms	(* (+ t1 u) (+ t1 u))
60.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series179.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (+ t1 u) (+ t1 u))
148.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.5s

Counts

80 → 80

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	117	1120
1	374	1025
2	1783	869
done	5001	858

prune269.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite172.0ms

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-exp-log` `add-cbrt-cube`
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` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `distribute-frac-neg` `clear-num`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 198

Calls

3 calls:

24.0ms	(/ (- t1) (+ t1 u))
25.0ms	(/ v (+ t1 u))
115.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series294.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- t1) (+ t1 u))
51.0ms	(/ v (+ t1 u))
191.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify1.7s

Counts

207 → 207

Iterations

Useful iterations: 2 (458.0ms)

Iter	Nodes	Cost
0	219	2553
1	588	2436
2	1853	2282
done	5001	2282

prune679.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ t1 u) t1)
0.0b	(/ v (+ t1 u))
0.2b	(/ -1 (/ (+ t1 u) t1))
0.5b	(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

225×	`times-frac`
184×	`*-un-lft-identity`
141×	`add-sqr-sqrt`
120×	`add-cube-cbrt`
53×	`associate-l`
34×	`add-exp-log` `add-cbrt-cube`
32×	`distribute-lft-out`
23×	`associate-/r*`
18×	`associate-r`
14×	`cbrt-undiv` `div-exp`
12×	`div-inv`
10×	`associate-/l*`
6×	`pow1` `prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
2×	`associate-/l/`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 257

Calls

4 calls:

37.0ms	(/ (+ t1 u) t1)
23.0ms	(/ v (+ t1 u))
33.0ms	(/ -1 (/ (+ t1 u) t1))
122.0ms	(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))

series321.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (+ t1 u) t1)
31.0ms	(/ v (+ t1 u))
59.0ms	(/ -1 (/ (+ t1 u) t1))
206.0ms	(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))

simplify2.1s

Counts

269 → 269

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	304	3750
1	820	3501
2	2884	3195
done	5001	3189

prune803.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

2032×	`times-frac`
1457×	`*-un-lft-identity`
805×	`add-sqr-sqrt` `add-cube-cbrt`
326×	`distribute-lft-out`
219×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
73×	`neg-mul-1`
67×	`div-inv`
60×	`associate-/l*`
37×	`associate-/r/`
23×	`associate-/r*`
19×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
10×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `div-sub` `distribute-frac-neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
2×	`neg-sub0`

Counts

3 → 929

Calls

3 calls:

18.0ms	(/ (+ t1 u) t1)
20.0ms	(/ (- v) (+ t1 u))
79.0ms	(/ (/ (- v) (+ t1 u)) (/ (+ t1 u) t1))

series176.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (+ t1 u) t1)
34.0ms	(/ (- v) (+ t1 u))
106.0ms	(/ (/ (- v) (+ t1 u)) (/ (+ t1 u) t1))

simplify1.8s

Counts

938 → 938

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	984	24053
1	2765	22107
done	5000	21627

prune2.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (1.2b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 1.4b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	12	18
1	18	14
2	20	12
3	24	12
4	28	12
done	28	12

end0.0ms

sample811.0ms

Algorithm

intervals

Results

554.0ms

8239×

body

valid