Details

sample82.0ms

Algorithm

intervals

Results

14.0ms	423×	body	80	valid
7.0ms	423×	pre	80	true

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	105	13
4	360	13
5	1338	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))
0.0b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)

rewrite222.0ms

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:

43.0ms	(* m (- 1.0 m))
144.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
28.0ms	(/ (* m (- 1.0 m)) v)

series192.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(* m (- 1.0 m))
62.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
58.0ms	(/ (* m (- 1.0 m)) v)

simplify1.5s

Counts

92 → 92

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	147	1290
1	421	1245
2	2257	1151
done	5000	1147

prune286.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

19.0ms	(+ (* 1.0 m) (* (- m) m))
208.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))
45.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)

series216.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(+ (* 1.0 m) (* (- m) m))
70.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))
65.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	164	1764
1	446	1383
2	2276	1296
done	5001	1289

prune315.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite371.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

35.0ms	(* m (- (* 1.0 1.0) (* m m)))
39.0ms	(* v (+ 1.0 m))
239.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
55.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))

series334.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* m (- (* 1.0 1.0) (* m m)))
51.0ms	(* v (+ 1.0 m))
91.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
95.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))

simplify2.6s

Counts

119 → 119

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	195	2366
1	641	2285
2	4256	2013
done	5002	2007

prune331.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* m (- (* 1.0 1.0) (* m m))) (* (* (sqrt v) (sqrt (+ 1.0 m))) (* (sqrt v) (sqrt (+ 1.0 m)))))
0.1b	(* (sqrt v) (sqrt (+ 1.0 m)))
0.1b	(* (sqrt v) (sqrt (+ 1.0 m)))
0.5b	(* (* (sqrt v) (sqrt (+ 1.0 m))) (* (sqrt v) (sqrt (+ 1.0 m))))

rewrite355.0ms

Algorithm

rewrite-expression-head

Rules

67×	`pow1`
61×	`add-exp-log` `add-cbrt-cube`
41×	`pow-prod-down`
34×	`associate-*r/`
31×	`prod-exp` `cbrt-unprod`
28×	`add-sqr-sqrt` `sqrt-div`
22×	`sqrt-prod`
20×	`sqrt-pow1` `pow1/2`
16×	`*-un-lft-identity`
15×	`associate-r`
14×	`flip3-+` `flip-+`
13×	`associate-l`
12×	`add-cube-cbrt`
10×	`cbrt-undiv` `div-exp`
8×	`frac-times` `associate-/r/` `pow-prod-up` `unswap-sqr`
7×	`sqrt-unprod`
6×	`pow-sqr`
4×	`associate-*l/` `add-log-exp`
3×	`*-commutative`
2×	`pow-plus` `associate-/l/` `distribute-lft-out`
1×	`pow2` `flip3--` `frac-2neg` `times-frac` `swap-sqr` `clear-num` `associate-/r` `rem-square-sqrt` `flip--` `div-inv` `associate-/l`

Counts

4 → 161

Calls

4 calls:

151.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* (* (sqrt v) (sqrt (+ 1.0 m))) (* (sqrt v) (sqrt (+ 1.0 m)))))
26.0ms	(* (sqrt v) (sqrt (+ 1.0 m)))
26.0ms	(* (sqrt v) (sqrt (+ 1.0 m)))
137.0ms	(* (* (sqrt v) (sqrt (+ 1.0 m))) (* (sqrt v) (sqrt (+ 1.0 m))))

series319.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* (* (sqrt v) (sqrt (+ 1.0 m))) (* (sqrt v) (sqrt (+ 1.0 m)))))
85.0ms	(* (sqrt v) (sqrt (+ 1.0 m)))
93.0ms	(* (sqrt v) (sqrt (+ 1.0 m)))
45.0ms	(* (* (sqrt v) (sqrt (+ 1.0 m))) (* (sqrt v) (sqrt (+ 1.0 m))))

simplify2.9s

Counts

173 → 173

Iterations

Useful iterations: 2 (931.0ms)

Iter	Nodes	Cost
0	208	3436
1	680	2707
2	4941	1997
done	5000	1997

prune590.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.0b 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	11	16
1	17	16
done	17	16

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.2s	13598×	body	80	valid
340.0ms	13598×	pre	80	true