Details

sample91.0ms

Algorithm

intervals

Results

20.0ms	460×	body	80	valid
9.0ms	460×	pre	80	true

simplify4.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	103	13
4	343	13
5	939	13
6	2377	13
done	5000	13

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

29.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
156.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series177.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(* m (- 1.0 m))
45.0ms	(/ (* m (- 1.0 m)) v)
56.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.1s

Counts

92 → 92

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	147	1290
1	386	1245
2	1439	1143
done	5000	1119

prune275.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 74

Calls

2 calls:

101.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) (- 1.0 m))
35.0ms	(* (/ m v) (- 1.0 m))

series94.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) (- 1.0 m))
52.0ms	(* (/ m v) (- 1.0 m))

simplify1.3s

Counts

80 → 80

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	148	1244
1	403	1206
2	1537	1114
done	5000	1102

prune247.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) (- 1.0 m))
0.2b	(/ m (sqrt v))
0.2b	(/ (- 1.0 m) (sqrt v))
0.3b	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

rewrite306.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 212

Calls

4 calls:

166.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) (- 1.0 m))
7.0ms	(/ m (sqrt v))
33.0ms	(/ (- 1.0 m) (sqrt v))
81.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) (- 1.0 m))
84.0ms	(/ m (sqrt v))
74.0ms	(/ (- 1.0 m) (sqrt v))
74.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

simplify2.3s

Counts

224 → 224

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	312	3537
1	857	3294
2	3088	2866
done	5002	2824

prune797.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0))) (cbrt (* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0))))
0.4b	(cbrt (* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0)))
0.4b	(cbrt (* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0)))
0.4b	(cbrt (* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0)))

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

168×	`cbrt-div`
148×	`frac-times`
126×	`flip3--` `flip--`
50×	`associate-r/` `associate-l/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 162

Calls

4 calls:

71.0ms	(* (cbrt (* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0))) (cbrt (* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0))))
28.0ms	(cbrt (* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0)))
48.0ms	(cbrt (* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0)))
37.0ms	(cbrt (* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0)))

series942.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(* (cbrt (* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0))) (cbrt (* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0))))
206.0ms	(cbrt (* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0)))
239.0ms	(cbrt (* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0)))
262.0ms	(cbrt (* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0)))

simplify1.2s

Counts

174 → 174

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	311	9252
1	548	8849
2	1499	8639
done	5001	7995

prune1.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	10	13
done	10	13

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.1s	13779×	body	80	valid
473.0ms	13779×	pre	80	true