Details

sample140.0ms

Algorithm

intervals

Results

15.0ms	426×	body	80	valid
7.0ms	426×	pre	80	true

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	110	13
4	379	13
5	1133	13
6	3190	13
done	5000	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite304.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-sqr-sqrt`
57×	`*-un-lft-identity` `prod-diff`
49×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
15×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r`
9×	`flip3--` `flip--`
8×	`pow1` `associate-l`
7×	`fma-neg`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg` `div-inv`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `associate-/l*`

Counts

4 → 169

Calls

4 calls:

65.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
41.0ms	(* m (- 1.0 m))
28.0ms	(/ (* m (- 1.0 m)) v)
154.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series251.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
83.0ms	(* m (- 1.0 m))
56.0ms	(/ (* m (- 1.0 m)) v)
76.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.7s

Counts

181 → 181

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	265	3570
1	579	2895
2	1783	2511
done	5001	2405

prune382.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite594.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt`
77×	`*-un-lft-identity`
69×	`add-cube-cbrt`
57×	`prod-diff`
47×	`times-frac`
13×	`fma-neg`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
10×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
8×	`pow1` `associate-r` `associate-*l/`
6×	`associate-*r/` `associate-/l/` `add-log-exp` `difference-of-squares`
5×	`div-inv`
4×	`expm1-log1p-u` `frac-times` `frac-add` `log1p-expm1-u` `distribute-lft-out--`
3×	`sub-neg` `flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `frac-2neg` `diff-log` `div-exp` `clear-num`

Counts

4 → 183

Calls

4 calls:

160.0ms	(- (/ (+ (* (- 1.0 m) m) (* m (+ (- m) m))) v) 1.0)
30.0ms	(* (- 1.0 m) m)
72.0ms	(/ (+ (* (- 1.0 m) m) (* m (+ (- m) m))) v)
317.0ms	(* (- (/ (+ (* (- 1.0 m) m) (* m (+ (- m) m))) v) 1.0) (- 1.0 m))

series208.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (/ (+ (* (- 1.0 m) m) (* m (+ (- m) m))) v) 1.0)
57.0ms	(* (- 1.0 m) m)
70.0ms	(/ (+ (* (- 1.0 m) m) (* m (+ (- m) m))) v)
50.0ms	(* (- (/ (+ (* (- 1.0 m) m) (* m (+ (- m) m))) v) 1.0) (- 1.0 m))

simplify2.6s

Counts

195 → 195

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	296	5736
1	691	4835
2	2416	3943
done	5002	3067

prune676.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 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) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

rewrite548.0ms

Algorithm

rewrite-expression-head

Rules

90×	`prod-diff`
87×	`add-sqr-sqrt`
83×	`*-un-lft-identity`
80×	`sqrt-prod`
71×	`add-cube-cbrt`
50×	`distribute-rgt-in` `distribute-lft-in`
32×	`frac-times`
23×	`flip3--` `flip--`
19×	`associate-r`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-*l/`
14×	`associate-*r/`
13×	`pow1`
12×	`flip3-+` `flip-+`
9×	`associate-l`
6×	`prod-exp` `cbrt-unprod` `difference-of-squares`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`times-frac` `associate-/r` `-commutative`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `distribute-lft-out` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 233

Calls

4 calls:

31.0ms	(* m (- 1.0 m))
26.0ms	(/ (* m (- 1.0 m)) v)
279.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
195.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series520.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* m (- 1.0 m))
48.0ms	(/ (* m (- 1.0 m)) v)
189.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
224.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify914.0ms

Counts

245 → 245

Iterations

Useful iterations: done (900.0ms)

Iter	Nodes	Cost
0	427	8792
1	1198	7193
done	5001	6229

prune804.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite682.0ms

Algorithm

rewrite-expression-head

Rules

127×	`add-sqr-sqrt`
114×	`prod-diff`
107×	`*-un-lft-identity`
96×	`sqrt-prod`
87×	`add-cube-cbrt`
61×	`distribute-rgt-in` `distribute-lft-in`
39×	`times-frac`
25×	`add-exp-log` `add-cbrt-cube`
20×	`associate-l`
18×	`difference-of-squares`
17×	`flip3--` `flip--`
14×	`associate-r`
12×	`associate-/r*`
10×	`frac-times` `associate-/l/` `distribute-lft-out--`
9×	`div-inv`
8×	`pow1` `associate-*r/`
7×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp`
5×	`associate-*l/`
4×	`expm1-log1p-u` `sub-neg` `associate-/r/` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l` `unswap-sqr`

Counts

4 → 271

Calls

4 calls:

48.0ms	(/ (* m (- 1.0 m)) v)
143.0ms	(/ (* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0)) (- (sqrt 1.0) (sqrt m)))
294.0ms	(* (/ (* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0)) (- (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
166.0ms	(* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0))

series591.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ (* m (- 1.0 m)) v)
414.0ms	(/ (* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0)) (- (sqrt 1.0) (sqrt m)))
53.0ms	(* (/ (* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0)) (- (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
65.0ms	(* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0))

simplify3.7s

Counts

283 → 283

Iterations

Useful iterations: 2 (2.0s)

Iter	Nodes	Cost
0	463	10795
1	1172	9383
2	4941	7329
done	5000	7329

prune727.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	25
1	16	25
done	16	25

end0.0ms

sample1.8s

Algorithm

intervals

Results

861.0ms	13690×	body	80	valid
406.0ms	13690×	pre	80	true