Details

sample30.0ms

Algorithm

intervals

Results

15.0ms

379×

body

valid

simplify860.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	15
1	24	15
2	53	15
3	88	15
4	134	15
5	188	15
6	234	15
7	251	15
8	276	15
9	317	15
10	373	15
11	389	15
12	462	15
13	565	15
14	710	15
15	718	15
done	718	15

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b	(/ y (* z 3.0))
0.4b	(* (* z 3.0) y)
6.4b	(/ t (* (* z 3.0) y))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

44.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
3.0ms	(/ y (* z 3.0))
7.0ms	(* (* z 3.0) y)
7.0ms	(/ t (* (* z 3.0) y))

series152.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
22.0ms	(/ y (* z 3.0))
21.0ms	(* (* z 3.0) y)
31.0ms	(/ t (* (* z 3.0) y))

simplify897.0ms

Counts

127 → 127

Iterations

Useful iterations: 2 (176.0ms)

Iter	Nodes	Cost
0	184	1873
1	515	1735
2	2340	1473
done	5000	1473

prune363.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.2b	(/ y (* z 3.0))
0.2b	(/ t (* z 3.0))
4.3b	(/ (/ t (* z 3.0)) y)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

48×	`times-frac`
45×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
23×	`add-exp-log` `associate-+l+` `add-cbrt-cube`
21×	`prod-diff`
13×	`associate-/l*`
10×	`div-inv`
9×	`cbrt-undiv` `div-exp` `add-log-exp`
5×	`fma-def` `associate-/r*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod`
2×	`frac-add` `sum-log` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+` `associate-/l/` `difference-of-squares`

Counts

4 → 143

Calls

4 calls:

50.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
3.0ms	(/ y (* z 3.0))
3.0ms	(/ t (* z 3.0))
6.0ms	(/ (/ t (* z 3.0)) y)

series151.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
19.0ms	(/ y (* z 3.0))
23.0ms	(/ t (* z 3.0))
31.0ms	(/ (/ t (* z 3.0)) y)

simplify879.0ms

Counts

155 → 155

Iterations

Useful iterations: 2 (188.0ms)

Iter	Nodes	Cost
0	230	2245
1	592	2093
2	2312	1829
done	5000	1829

prune463.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z 3.0) y)
0.2b	(/ t (* z 3.0))
0.3b	(/ 1 (/ (* z 3.0) y))
4.3b	(/ (/ t (* z 3.0)) y)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

72×	`times-frac`
44×	`add-exp-log`
40×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`add-cbrt-cube`
21×	`div-exp`
14×	`cbrt-undiv` `associate-/r` `associate-/l`
12×	`div-inv`
6×	`prod-exp`
5×	`pow1`
4×	`expm1-log1p-u` `frac-2neg` `clear-num` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp`
1×	`pow-flip` `associate-/r/` `associate-/l/` `inv-pow`

Counts

4 → 154

Calls

4 calls:

3.0ms	(/ (* z 3.0) y)
3.0ms	(/ t (* z 3.0))
6.0ms	(/ 1 (/ (* z 3.0) y))
6.0ms	(/ (/ t (* z 3.0)) y)

series95.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (* z 3.0) y)
20.0ms	(/ t (* z 3.0))
22.0ms	(/ 1 (/ (* z 3.0) y))
32.0ms	(/ (/ t (* z 3.0)) y)

simplify1.4s

Counts

166 → 166

Iterations

Useful iterations: 2 (215.0ms)

Iter	Nodes	Cost
0	230	1745
1	549	1617
2	2414	1383
done	5000	1383

prune380.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ (/ y z) 3.0)) (/ t (* (* z 3.0) y)))
0.2b	(/ (/ y z) 3.0)
0.4b	(* (* z 3.0) y)
6.4b	(/ t (* (* z 3.0) y))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

279×	`times-frac`
207×	`add-sqr-sqrt`
205×	`*-un-lft-identity`
198×	`add-cube-cbrt`
131×	`associate-+l+`
129×	`prod-diff`
23×	`add-exp-log` `add-cbrt-cube`
18×	`div-inv`
16×	`associate-/l*`
9×	`pow1` `add-log-exp`
7×	`fma-def`
6×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
3×	`associate-r` `pow-prod-down` `difference-of-squares`
2×	`frac-2neg` `frac-add` `clear-num` `sum-log` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `associate-l` `*-commutative` `flip--` `flip-+` `associate-/l/`

Counts

4 → 274

Calls

4 calls:

146.0ms	(+ (- x (/ (/ y z) 3.0)) (/ t (* (* z 3.0) y)))
8.0ms	(/ (/ y z) 3.0)
7.0ms	(* (* z 3.0) y)
7.0ms	(/ t (* (* z 3.0) y))

series164.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(+ (- x (/ (/ y z) 3.0)) (/ t (* (* z 3.0) y)))
20.0ms	(/ (/ y z) 3.0)
22.0ms	(* (* z 3.0) y)
36.0ms	(/ t (* (* z 3.0) y))

simplify426.0ms

Counts

286 → 286

Iterations

Useful iterations: done (416.0ms)

Iter	Nodes	Cost
0	433	7320
1	1228	6860
done	5001	5744

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes120.0ms

Accuracy

0% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	17
1	17	17
done	17	17

end0.0ms

sample659.0ms

Algorithm

intervals

Results

366.0ms

11144×

body

valid