Details

sample345.0ms

Algorithm

intervals

Results

11.0ms	441×	body	80	valid
6.0ms	441×	pre	80	true

simplify127.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	72	5
3	188	5
4	406	5
5	636	5
6	938	5
7	1312	5
8	1969	5
9	2932	5
10	3912	5
11	5001	5
done	5001	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
12×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-r` `associate-l`
7×	`pow1`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `times-frac` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `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 → 95

Calls

3 calls:

23.0ms	(* m (- 1.0 m))
20.0ms	(/ (* m (- 1.0 m)) v)
83.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series134.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* m (- 1.0 m))
42.0ms	(/ (* m (- 1.0 m)) v)
46.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify58.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	394	683
1	1939	511
2	5001	505
done	5001	505

prune159.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.2b	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
0.2b	(/ (* m (- 1.0 m)) (sqrt v))
0.3b	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
81×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
67×	`add-cube-cbrt`
61×	`sqrt-prod`
22×	`add-exp-log` `add-cbrt-cube`
18×	`prod-diff`
12×	`associate-/r*`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-/l*`
10×	`associate-l`
9×	`div-inv`
8×	`pow1` `associate-r`
7×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `associate-*r/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`flip3--` `flip--` `associate-/l/`
2×	`sub-neg` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 198

Calls

4 calls:

21.0ms	(* m (- 1.0 m))
204.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
21.0ms	(/ (* m (- 1.0 m)) (sqrt v))
22.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

series196.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* m (- 1.0 m))
48.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
53.0ms	(/ (* m (- 1.0 m)) (sqrt v))
51.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

simplify107.0ms

Counts

210 → 210

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	776	1900
1	3766	1543
2	5002	1528
done	5002	1528

prune335.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ 1 (sqrt v)) (sqrt (cbrt v)))
0.4b	(* (/ m (/ (fabs (cbrt v)) (- 1.0 m))) (/ (/ 1 (sqrt v)) (sqrt (cbrt v))))
0.6b	(cbrt v)
0.6b	(cbrt v)

rewrite319.0ms

Algorithm

rewrite-expression-head

Rules

975×	`times-frac`
663×	`add-sqr-sqrt`
489×	`sqrt-prod`
474×	`*-un-lft-identity`
438×	`add-cube-cbrt`
202×	`associate-r`
156×	`cbrt-prod`
73×	`add-exp-log`
68×	`associate-l`
48×	`unswap-sqr`
45×	`add-cbrt-cube`
39×	`div-exp`
25×	`div-inv`
22×	`associate-/l*`
21×	`cbrt-undiv`
15×	`prod-exp`
9×	`associate-/r*` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
7×	`pow1` `associate-/r/`
4×	`expm1-log1p-u` `rec-exp` `pow1/3` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `sqrt-pow1` `flip--`
2×	`pow-flip` `pow-div`
1×	`frac-times` `frac-2neg` `pow1/2` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `associate-/l/`

Counts

4 → 632

Calls

4 calls:

22.0ms	(/ (/ 1 (sqrt v)) (sqrt (cbrt v)))
248.0ms	(* (/ m (/ (fabs (cbrt v)) (- 1.0 m))) (/ (/ 1 (sqrt v)) (sqrt (cbrt v))))
1.0ms	(cbrt v)
1.0ms	(cbrt v)

series676.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(/ (/ 1 (sqrt v)) (sqrt (cbrt v)))
172.0ms	(* (/ m (/ (fabs (cbrt v)) (- 1.0 m))) (/ (/ 1 (sqrt v)) (sqrt (cbrt v))))
169.0ms	(cbrt v)
183.0ms	(cbrt v)

simplify101.0ms

Counts

644 → 644

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	2357	9020
1	5001	8431
done	5001	8431

prune1.4s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (/ m (/ (fabs (cbrt v)) (- 1.0 m))) (sqrt v))
0.4b	(* (/ (/ m (/ (fabs (cbrt v)) (- 1.0 m))) (sqrt v)) (/ 1 (sqrt (cbrt v))))
0.6b	(cbrt v)
0.6b	(cbrt v)

rewrite437.0ms

Algorithm

rewrite-expression-head

Rules

2373×	`times-frac`
1374×	`add-sqr-sqrt`
1192×	`*-un-lft-identity`
937×	`add-cube-cbrt`
478×	`sqrt-prod`
412×	`associate-l`
117×	`distribute-lft-out--` `difference-of-squares`
91×	`associate-/r/`
73×	`add-exp-log`
68×	`associate-/l*`
55×	`div-inv`
49×	`unswap-sqr`
45×	`add-cbrt-cube`
39×	`flip3--` `flip--`
38×	`div-exp`
31×	`associate-r`
29×	`cbrt-prod`
22×	`cbrt-undiv`
16×	`prod-exp`
8×	`cbrt-unprod`
6×	`pow1` `associate-/r*`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `un-div-inv` `*-commutative` `associate-/l/`

Counts

4 → 1058

Calls

4 calls:

43.0ms	(/ (/ m (/ (fabs (cbrt v)) (- 1.0 m))) (sqrt v))
287.0ms	(* (/ (/ m (/ (fabs (cbrt v)) (- 1.0 m))) (sqrt v)) (/ 1 (sqrt (cbrt v))))
1.0ms	(cbrt v)
1.0ms	(cbrt v)

series606.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(/ (/ m (/ (fabs (cbrt v)) (- 1.0 m))) (sqrt v))
169.0ms	(* (/ (/ m (/ (fabs (cbrt v)) (- 1.0 m))) (sqrt v)) (/ 1 (sqrt (cbrt v))))
181.0ms	(cbrt v)
175.0ms	(cbrt v)

simplify185.0ms

Counts

1070 → 1070

Iterations

Useful iterations: 1 (58.0ms)

Iter	Nodes	Cost
0	3761	16826
1	5002	16351
done	5002	16351

prune3.1s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes84.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5
done	10	5

end0.0ms

sample779.0ms

Algorithm

intervals

Results

310.0ms	13711×	body	80	valid
162.0ms	13711×	pre	80	true