Details

sample150.0ms

Algorithm

intervals

Results

14.0ms	453×	body	80	valid
8.0ms	453×	pre	80	true

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	8	203
1	16	203
2	34	203
3	72	203
4	189	203
5	472	203
6	1643	203
done	5000	203

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 139

Calls

4 calls:

21.0ms	(* m (- 1.0 m))
32.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
33.0ms	(/ (* m (- 1.0 m)) v)
112.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series225.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* m (- 1.0 m))
32.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
45.0ms	(/ (* m (- 1.0 m)) v)
68.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify2.2s

Counts

151 → 151

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	223	46888
1	560	38739
2	2638	30886
done	5000	30621

prune570.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (/ v (* m (- 1.0 m)))) 1.0)
0.0b	(/ v (* m (- 1.0 m)))
0.1b	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
0.2b	(/ 1 (/ v (* m (- 1.0 m))))

rewrite381.0ms

Algorithm

rewrite-expression-head

Rules

190×	`times-frac`
138×	`add-sqr-sqrt`
130×	`*-un-lft-identity`
122×	`add-cube-cbrt`
96×	`prod-diff`
39×	`associate-/r/`
34×	`associate-*r/`
32×	`fma-neg` `add-exp-log`
24×	`div-inv`
20×	`add-cbrt-cube`
19×	`flip3--` `flip--`
14×	`div-exp`
10×	`associate-/r*`
8×	`associate-l`
7×	`pow1` `cbrt-undiv`
6×	`associate-/l*` `add-log-exp` `difference-of-squares`
5×	`prod-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--`
3×	`rec-exp` `1-exp` `associate-r` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-*l/`
1×	`sub-neg` `diff-log` `pow-prod-down` `*-commutative` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 265

Calls

4 calls:

94.0ms	(- (/ 1 (/ v (* m (- 1.0 m)))) 1.0)
11.0ms	(/ v (* m (- 1.0 m)))
226.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
27.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series270.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (/ 1 (/ v (* m (- 1.0 m)))) 1.0)
68.0ms	(/ v (* m (- 1.0 m)))
81.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
64.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify2.4s

Counts

277 → 277

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	336	119887
1	827	91802
2	3509	75509
done	5002	75349

prune983.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite330.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
26×	`add-cube-cbrt`
21×	`prod-diff`
16×	`add-cbrt-cube` `add-exp-log`
15×	`times-frac`
12×	`associate-r`
11×	`pow1`
7×	`fma-neg` `sqrt-prod`
6×	`associate-l` `associate-*l/` `add-log-exp`
5×	`prod-exp` `cbrt-unprod` `div-inv`
4×	`expm1-log1p-u` `flip3--` `pow-prod-down` `log1p-expm1-u` `flip--`
3×	`associate-/r*`
2×	`cbrt-undiv` `div-exp` `associate-r/` `-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `associate-/l*`

Counts

4 → 122

Calls

4 calls:

42.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
19.0ms	(/ (* m (- 1.0 m)) v)
111.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
154.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

series281.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
73.0ms	(/ (* m (- 1.0 m)) v)
106.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
58.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

simplify2.5s

Counts

134 → 134

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	200	45489
1	537	37328
2	2674	33644
done	5001	33079

prune605.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* m m) m)
0.1b	(* (- (* (/ 1 (/ (/ v m) (- (* (* 1.0 1.0) 1.0) (* (* m m) m)))) (/ 1 (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m))))) 1.0) m)
0.2b	(/ 1 (/ (/ v m) (- (* (* 1.0 1.0) 1.0) (* (* m m) m))))
2.6b	(* (/ 1 (/ (/ v m) (- (* (* 1.0 1.0) 1.0) (* (* m m) m)))) (/ 1 (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m)))))

rewrite988.0ms

Algorithm

rewrite-expression-head

Rules

1023×	`times-frac`
505×	`add-sqr-sqrt`
442×	`*-un-lft-identity`
426×	`add-cube-cbrt`
183×	`associate-l` `pow3`
170×	`add-exp-log`
95×	`div-exp`
91×	`difference-cubes`
58×	`associate-/r*`
52×	`add-cbrt-cube`
44×	`prod-exp`
38×	`div-inv`
30×	`pow1`
25×	`rec-exp` `1-exp`
23×	`unswap-sqr`
22×	`cbrt-undiv`
21×	`associate-r`
18×	`associate-/r/`
12×	`cbrt-unprod`
8×	`flip3--` `flip--`
7×	`pow-prod-down`
6×	`pow-plus` `pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l/` `-commutative` `pow-flip` `associate-/l*` `inv-pow`
2×	`pow2` `pow-sqr`
1×	`frac-times` `clear-num` `frac-2neg` `flip3-+` `associate-*r/` `un-div-inv` `flip-+`

Counts

4 → 594

Calls

4 calls:

29.0ms	(* (* m m) m)
402.0ms	(* (- (* (/ 1 (/ (/ v m) (- (* (* 1.0 1.0) 1.0) (* (* m m) m)))) (/ 1 (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m))))) 1.0) m)
114.0ms	(/ 1 (/ (/ v m) (- (* (* 1.0 1.0) 1.0) (* (* m m) m))))
353.0ms	(* (/ 1 (/ (/ v m) (- (* (* 1.0 1.0) 1.0) (* (* m m) m)))) (/ 1 (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m)))))

series716.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (* m m) m)
192.0ms	(* (- (* (/ 1 (/ (/ v m) (- (* (* 1.0 1.0) 1.0) (* (* m m) m)))) (/ 1 (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m))))) 1.0) m)
165.0ms	(/ 1 (/ (/ v m) (- (* (* 1.0 1.0) 1.0) (* (* m m) m))))
306.0ms	(* (/ 1 (/ (/ v m) (- (* (* 1.0 1.0) 1.0) (* (* m m) m)))) (/ 1 (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m)))))

simplify4.7s

Counts

606 → 606

Iterations

Useful iterations: done (4.5s)

Iter	Nodes	Cost
0	894	400440
1	3220	346465
done	5001	324063

prune4.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes144.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	10	244
1	14	244
done	14	244

end0.0ms

sample1.3s

Algorithm

intervals

Results

641.0ms	13750×	body	80	valid
369.0ms	13750×	pre	80	true