Details

sample128.0ms

Algorithm

intervals

Results

26.0ms	423×	body	80	valid
13.0ms	423×	pre	80	true

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	34	11
3	67	11
4	171	11
5	418	11
6	1361	11
7	4731	11
done	5000	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite182.0ms

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:

23.0ms	(* m (- 1.0 m))
23.0ms	(/ (* m (- 1.0 m)) v)
129.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series220.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(* m (- 1.0 m))
74.0ms	(/ (* m (- 1.0 m)) v)
60.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.4s

Counts

80 → 80

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	126	882
1	338	845
2	1706	755
done	5000	751

prune248.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
0.1b	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
14.4b	(/ (pow m 2) v)

rewrite617.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
25×	`*-un-lft-identity` `times-frac`
22×	`add-cube-cbrt`
12×	`unpow-prod-down`
10×	`add-exp-log`
8×	`associate-/l*`
7×	`add-cbrt-cube`
5×	`pow1` `associate-l` `unpow2` `add-log-exp`
4×	`sqr-pow`
3×	`div-exp` `associate-r` `associate-/r*`
2×	`flip3--` `associate-r/` `associate-l/` `flip--`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `distribute-rgt-out--` `frac-2neg` `diff-log` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `frac-sub` `cbrt-unprod` `div-inv` `distribute-lft-out--` `sub-div` `difference-of-squares` `unswap-sqr`

Counts

3 → 86

Calls

3 calls:

22.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
575.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
14.0ms	(/ (pow m 2) v)

series144.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
56.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
35.0ms	(/ (pow m 2) v)

simplify1.1s

Counts

95 → 95

Iterations

Useful iterations: 2 (383.0ms)

Iter	Nodes	Cost
0	159	1318
1	349	1223
2	1614	1090
done	5001	1090

prune372.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (- (* 1.0 (/ m v)) (* (/ m (sqrt v)) (/ m (sqrt v)))) 1.0) m)
0.3b	(/ m (sqrt v))
0.3b	(/ m (sqrt v))
0.4b	(* (/ m (sqrt v)) (/ m (sqrt v)))

rewrite343.0ms

Algorithm

rewrite-expression-head

Rules

138×	`add-sqr-sqrt`
132×	`times-frac`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
72×	`sqrt-prod`
28×	`swap-sqr`
27×	`associate-l`
25×	`associate-r`
22×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
12×	`associate-/r*`
10×	`unswap-sqr`
6×	`cbrt-undiv` `div-exp` `div-inv` `associate-/l*`
5×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`associate-*l/`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative`
1×	`pow2` `frac-times` `flip3--` `pow-plus` `associate-*r/` `pow-sqr` `pow-prod-up` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 205

Calls

4 calls:

271.0ms	(* (- (- (* 1.0 (/ m v)) (* (/ m (sqrt v)) (/ m (sqrt v)))) 1.0) m)
6.0ms	(/ m (sqrt v))
6.0ms	(/ m (sqrt v))
49.0ms	(* (/ m (sqrt v)) (/ m (sqrt v)))

series310.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (- (- (* 1.0 (/ m v)) (* (/ m (sqrt v)) (/ m (sqrt v)))) 1.0) m)
81.0ms	(/ m (sqrt v))
86.0ms	(/ m (sqrt v))
50.0ms	(* (/ m (sqrt v)) (/ m (sqrt v)))

simplify2.9s

Counts

217 → 217

Iterations

Useful iterations: 2 (779.0ms)

Iter	Nodes	Cost
0	239	3238
1	775	2958
2	4798	2744
done	5000	2744

prune773.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
0.3b	(* (* m (- 1.0 m)) (/ 1 v))

rewrite337.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 88

Calls

3 calls:

39.0ms	(* m (- 1.0 m))
219.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
75.0ms	(* (* m (- 1.0 m)) (/ 1 v))

series162.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(* m (- 1.0 m))
39.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
51.0ms	(* (* m (- 1.0 m)) (/ 1 v))

simplify3.6s

Counts

97 → 97

Iterations

Useful iterations: 2 (539.0ms)

Iter	Nodes	Cost
0	162	1223
1	465	1121
2	2918	896
done	5000	896

prune260.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	19
1	13	19
done	13	19

end0.0ms

sample1.9s

Algorithm

intervals

Results

740.0ms	13598×	body	80	valid
699.0ms	13598×	pre	80	true