Details

sample282.0ms

Algorithm

intervals

Results

11.0ms	451×	body	80	valid
7.0ms	451×	pre	80	true

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	34	11
3	63	11
4	143	11
5	236	11
6	315	11
7	420	11
8	645	11
9	1092	11
10	1412	11
11	2138	11
done	5000	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt`
8×	`associate-r` `associate-l`
7×	`pow1`
4×	`associate-*r/`
3×	`flip3--` `times-frac` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod` `add-log-exp`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

3 → 71

Calls

3 calls:

9.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
41.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series130.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* m (- 1.0 m))
41.0ms	(/ (* m (- 1.0 m)) v)
44.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify508.0ms

Counts

80 → 80

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	126	882
1	322	845
2	1413	747
done	5000	747

prune149.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
0.3b	(/ (- 1.0 m) (sqrt v))
0.3b	(/ m (sqrt v))
0.4b	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

128×	`add-sqr-sqrt`
108×	`times-frac`
96×	`*-un-lft-identity`
70×	`add-cube-cbrt`
60×	`sqrt-prod`
37×	`associate-r`
25×	`associate-l`
22×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
10×	`unswap-sqr`
8×	`pow1` `associate-/l*`
6×	`cbrt-undiv` `div-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`div-inv` `add-log-exp`
3×	`associate-*l/`
2×	`flip3--` `frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `div-sub` `associate-*r/`

Counts

4 → 200

Calls

4 calls:

39.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
8.0ms	(/ (- 1.0 m) (sqrt v))
6.0ms	(/ m (sqrt v))
33.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
46.0ms	(/ (- 1.0 m) (sqrt v))
44.0ms	(/ m (sqrt v))
51.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

simplify1.1s

Counts

212 → 212

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	288	3029
1	808	2824
2	3250	2446
done	5000	2426

prune412.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
0.4b	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`add-exp-log` `add-cbrt-cube`
17×	`-un-lft-identity` `associate-r*`
13×	`pow1` `add-cube-cbrt`
9×	`associate-l`
7×	`sqrt-prod`
6×	`associate-*l/` `prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`flip3--` `associate-*r/` `flip--` `add-log-exp`
3×	`times-frac` `associate-/r` `-commutative` `unswap-sqr`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 98

Calls

4 calls:

9.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
36.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
43.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

series204.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* m (- 1.0 m))
39.0ms	(/ (* m (- 1.0 m)) v)
72.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
49.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

simplify703.0ms

Counts

110 → 110

Iterations

Useful iterations: done (700.0ms)

Iter	Nodes	Cost
0	170	1505
1	451	1357
2	1929	1177
done	5000	1173

prune196.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (pow m 2) v) m)
0.0b	(- (* 1.0 (- (/ (pow m 2) v) m)) (/ (pow m 3) v))
5.5b	(/ (pow m 3) v)
11.5b	(/ (pow m 2) v)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

64×	`times-frac`
58×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
46×	`add-cube-cbrt`
25×	`unpow-prod-down`
20×	`associate-/l*`
14×	`add-exp-log`
12×	`cube-prod`
9×	`sqr-pow`
8×	`add-cbrt-cube` `add-log-exp`
6×	`div-exp` `associate-/r*`
5×	`unpow2` `difference-of-squares`
4×	`pow1` `cube-mult` `sub-neg` `unpow3` `associate--l+`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `pow-to-exp` `frac-2neg` `distribute-lft-in` `diff-log` `associate-*r/` `pow-exp` `clear-num` `frac-sub` `div-inv`
1×	`distribute-lft-out--`

Counts

4 → 150

Calls

4 calls:

22.0ms	(- (/ (pow m 2) v) m)
26.0ms	(- (* 1.0 (- (/ (pow m 2) v) m)) (/ (pow m 3) v))
5.0ms	(/ (pow m 3) v)
4.0ms	(/ (pow m 2) v)

series104.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ (pow m 2) v) m)
36.0ms	(- (* 1.0 (- (/ (pow m 2) v) m)) (/ (pow m 3) v))
25.0ms	(/ (pow m 3) v)
20.0ms	(/ (pow m 2) v)

simplify1.2s

Counts

162 → 162

Iterations

Useful iterations: 2 (177.0ms)

Iter	Nodes	Cost
0	233	2020
1	473	1797
2	2108	1627
done	5000	1627

prune314.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	15	19
done	15	19

end0.0ms

sample717.0ms

Algorithm

intervals

Results

310.0ms	13536×	body	80	valid
177.0ms	13536×	pre	80	true