Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

263×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	12
1	25	12
2	63	12
3	115	12
4	171	12
5	210	12
6	245	12
7	261	12
8	301	12
9	357	12
10	460	12
11	1364	12
done	5000	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
18.2b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite29.0ms

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×	`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 → 70

Calls

2 calls:

16.0ms	(* (+ t1 u) (+ t1 u))
10.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(* (+ t1 u) (+ t1 u))
73.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify789.0ms

Counts

76 → 76

Iterations

Useful iterations: 2 (191.0ms)

Iter	Nodes	Cost
0	113	1078
1	369	990
2	1700	834
done	5000	834

prune121.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.6b	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
6.9b	(* (- t1) (/ v (+ t1 u)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
29×	`times-frac`
25×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r`
10×	`associate-l`
9×	`distribute-lft-out`
8×	`associate-/r*`
6×	`cbrt-undiv` `div-exp` `associate-/r/`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3-+` `flip-+` `div-inv` `add-log-exp`
2×	`distribute-lft-neg-out` `frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`neg-mul-1` `distribute-frac-neg` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 107

Calls

3 calls:

5.0ms	(/ v (+ t1 u))
10.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
21.0ms	(* (- t1) (/ v (+ t1 u)))

series148.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ v (+ t1 u))
73.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
47.0ms	(* (- t1) (/ v (+ t1 u)))

simplify702.0ms

Counts

116 → 116

Iterations

Useful iterations: 2 (257.0ms)

Iter	Nodes	Cost
0	136	1312
1	385	1236
2	1641	1090
done	5000	1090

prune224.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ 1 (/ (+ t1 u) v))
0.6b	(/ (* (- t1) (/ 1 (/ (+ t1 u) v))) (+ t1 u))
6.9b	(* (- t1) (/ 1 (/ (+ t1 u) v)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

190×	`times-frac`
146×	`*-un-lft-identity`
112×	`add-sqr-sqrt`
98×	`add-cube-cbrt`
61×	`add-exp-log`
53×	`associate-r`
31×	`add-cbrt-cube`
29×	`div-exp`
23×	`distribute-lft-out`
20×	`associate-/r*`
14×	`prod-exp`
13×	`cbrt-undiv`
10×	`associate-l` `div-inv`
6×	`pow1` `rec-exp` `1-exp` `cbrt-unprod`
5×	`unswap-sqr`
4×	`associate-/r/` `associate-/l*`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `add-log-exp`
2×	`distribute-lft-neg-out` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `associate-/l/`
1×	`neg-mul-1` `pow-flip` `flip3-+` `distribute-frac-neg` `pow-prod-down` `*-commutative` `flip-+` `inv-pow`

Counts

3 → 214

Calls

3 calls:

9.0ms	(/ 1 (/ (+ t1 u) v))
15.0ms	(/ (* (- t1) (/ 1 (/ (+ t1 u) v))) (+ t1 u))
35.0ms	(* (- t1) (/ 1 (/ (+ t1 u) v)))

series267.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(/ 1 (/ (+ t1 u) v))
121.0ms	(/ (* (- t1) (/ 1 (/ (+ t1 u) v))) (+ t1 u))
71.0ms	(* (- t1) (/ 1 (/ (+ t1 u) v)))

simplify892.0ms

Counts

223 → 223

Iterations

Useful iterations: 2 (359.0ms)

Iter	Nodes	Cost
0	266	3261
1	796	2559
2	2254	2174
done	5000	2174

prune325.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ t1 u))
0.0b	(/ v (+ t1 u))
0.7b	(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
6.9b	(* (- t1) (/ v (+ t1 u)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
54×	`add-exp-log`
49×	`times-frac`
46×	`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×	`rec-exp` `flip3-+` `1-exp` `associate-*r/` `pow-prod-down` `flip-+` `div-inv` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`frac-2neg` `clear-num` `*-commutative` `unswap-sqr`
1×	`frac-times` `neg-mul-1` `pow-flip` `associate-*l/` `un-div-inv` `inv-pow`

Counts

4 → 167

Calls

4 calls:

5.0ms	(/ 1 (+ t1 u))
5.0ms	(/ v (+ t1 u))
31.0ms	(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
18.0ms	(* (- t1) (/ v (+ t1 u)))

series179.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ 1 (+ t1 u))
23.0ms	(/ v (+ t1 u))
70.0ms	(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
50.0ms	(* (- t1) (/ v (+ t1 u)))

simplify966.0ms

Counts

179 → 179

Iterations

Useful iterations: 2 (414.0ms)

Iter	Nodes	Cost
0	186	2148
1	547	1858
2	1986	1608
done	5000	1608

prune295.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	16	14
2	21	14
3	24	14
done	24	14

end0.0ms

sample370.0ms

Algorithm

intervals

Results

211.0ms

8252×

body

valid