Details

sample33.0ms

Algorithm

intervals

Results

14.0ms

273×

body

valid

simplify228.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	10	205
1	20	165
2	44	165
3	80	165
4	123	165
5	169	165
6	201	165
7	230	165
8	241	165
done	241	165

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (- y t))
4.1b	(/ (* x 2.0) (* z (- y t)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 71

Calls

2 calls:

23.0ms	(* z (- y t))
12.0ms	(/ (* x 2.0) (* z (- y t)))

series116.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* z (- y t))
64.0ms	(/ (* x 2.0) (* z (- y t)))

simplify1.4s

Counts

77 → 77

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	145	20967
1	357	18109
2	1412	14225
done	5033	13825

prune254.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (- y t))
0.4b	(/ 1 (/ (* z (- y t)) (* x 2.0)))
3.9b	(/ (* z (- y t)) (* x 2.0))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-exp-log`
35×	`add-cbrt-cube`
31×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
27×	`add-cube-cbrt`
26×	`div-exp`
20×	`times-frac`
18×	`prod-diff`
17×	`prod-exp`
13×	`cbrt-undiv`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`cbrt-unprod`
6×	`pow1` `associate-/r*` `div-inv`
5×	`rec-exp` `1-exp` `associate-r`
4×	`associate-r/` `associate-/l`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `flip--` `associate-/l/`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `pow-flip` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

3 → 129

Calls

3 calls:

21.0ms	(* z (- y t))
19.0ms	(/ 1 (/ (* z (- y t)) (* x 2.0)))
19.0ms	(/ (* z (- y t)) (* x 2.0))

series214.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* z (- y t))
105.0ms	(/ 1 (/ (* z (- y t)) (* x 2.0)))
70.0ms	(/ (* z (- y t)) (* x 2.0))

simplify2.1s

Counts

138 → 138

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	223	41744
1	544	34354
2	2021	30150
done	5178	29190

prune428.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (- y t))
0.6b	(/ 1 (* z (- y t)))
3.8b	(/ (/ 1 (* z (- y t))) (/ 1 (* x 2.0)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

184×	`add-exp-log`
120×	`times-frac`
109×	`div-exp`
59×	`add-sqr-sqrt`
57×	`*-un-lft-identity`
55×	`add-cube-cbrt`
46×	`add-cbrt-cube` `prod-exp`
30×	`rec-exp` `1-exp`
23×	`cbrt-undiv`
20×	`associate-*r/` `div-inv`
19×	`associate-/r/`
18×	`prod-diff`
12×	`associate-/l*`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`flip3--` `flip--`
8×	`pow1` `associate-/r*` `cbrt-unprod`
5×	`associate-r`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `sub-neg` `frac-2neg` `pow-prod-down` `pow-flip`
1×	`*-commutative` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr` `associate-/l/`

Counts

3 → 229

Calls

3 calls:

18.0ms	(* z (- y t))
15.0ms	(/ 1 (* z (- y t)))
49.0ms	(/ (/ 1 (* z (- y t))) (/ 1 (* x 2.0)))

series236.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* z (- y t))
51.0ms	(/ 1 (* z (- y t)))
120.0ms	(/ (/ 1 (* z (- y t))) (/ 1 (* x 2.0)))

simplify2.9s

Counts

238 → 238

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	358	91890
1	954	71341
2	2499	61966
done	5005	61320

prune835.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize78.0ms

Local error

Found 4 expressions with local error:

3.9b	(/ (* z (- y t)) (* x 2.0))
19.5b	(cbrt (/ (* z (- y t)) (* x 2.0)))
19.5b	(cbrt (/ (* z (- y t)) (* x 2.0)))
19.5b	(cbrt (/ (* z (- y t)) (* x 2.0)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube` `add-exp-log`
15×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `times-frac` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3`
2×	`associate-*r/` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `flip3--` `flip--` `associate-/l`

Counts

4 → 73

Calls

4 calls:

25.0ms	(/ (* z (- y t)) (* x 2.0))
19.0ms	(cbrt (/ (* z (- y t)) (* x 2.0)))
13.0ms	(cbrt (/ (* z (- y t)) (* x 2.0)))
14.0ms	(cbrt (/ (* z (- y t)) (* x 2.0)))

series768.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(/ (* z (- y t)) (* x 2.0))
226.0ms	(cbrt (/ (* z (- y t)) (* x 2.0)))
234.0ms	(cbrt (/ (* z (- y t)) (* x 2.0)))
206.0ms	(cbrt (/ (* z (- y t)) (* x 2.0)))

simplify2.0s

Counts

85 → 85

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	123	29509
1	311	28521
2	1248	27551
done	5000	26951

prune598.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes733.0ms

Accuracy

48.2% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 5.5b

bsearch2.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	27	879
1	34	879
done	34	879

end0.0ms

sample910.0ms

Algorithm

intervals

Results

522.0ms

8735×

body

valid