Details

sample56.0ms

Algorithm

intervals

Results

27.0ms

272×

body

valid

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	33	11
3	58	11
4	101	11
5	132	11
6	159	11
7	181	11
8	224	11
9	281	11
10	313	11
11	355	11
12	390	11
13	402	11
done	402	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
11.6b	(/ (* y (- z t)) (- z a))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
7×	`add-exp-log` `add-cbrt-cube`
5×	`times-frac` `associate-/r*`
4×	`add-cube-cbrt` `add-log-exp`
2×	`pow1` `cbrt-undiv` `flip3--` `associate-*r/` `div-exp` `associate-/r/` `flip--` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

2 → 41

Calls

2 calls:

21.0ms	(+ x (/ (* y (- z t)) (- z a)))
44.0ms	(/ (* y (- z t)) (- z a))

series254.0ms

Counts

2 → 6

Calls

2 calls:

136.0ms	(+ x (/ (* y (- z t)) (- z a)))
118.0ms	(/ (* y (- z t)) (- z a))

simplify3.1s

Counts

47 → 47

Iterations

Useful iterations: 2 (167.0ms)

Iter	Nodes	Cost
0	99	629
1	277	587
2	891	529
3	3986	529
done	5001	529

prune223.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
3.4b	(/ y (/ (- z a) (- z t)))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

80.0ms	(+ x (/ y (/ (- z a) (- z t))))
27.0ms	(/ (- z a) (- z t))
33.0ms	(/ y (/ (- z a) (- z t)))

series350.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(+ x (/ y (/ (- z a) (- z t))))
68.0ms	(/ (- z a) (- z t))
167.0ms	(/ y (/ (- z a) (- z t)))

simplify1.6s

Counts

215 → 215

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	292	3727
1	685	3478
2	2423	3372
done	5001	3366

prune815.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(* (cbrt (- z a)) (cbrt (- z a)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

37×	`cbrt-prod`
31×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
15×	`add-cube-cbrt`
12×	`cbrt-div`
11×	`pow1`
10×	`swap-sqr`
9×	`pow1/3`
8×	`associate-r` `associate-l`
6×	`add-exp-log` `flip3--` `flip--` `distribute-lft-out--`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `difference-of-squares` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 89

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
65.0ms	(* (cbrt (- z a)) (cbrt (- z a)))

series1.1s

Counts

4 → 12

Calls

4 calls:

290.0ms	(cbrt y)
265.0ms	(cbrt y)
305.0ms	(cbrt y)
232.0ms	(* (cbrt (- z a)) (cbrt (- z a)))

simplify2.5s

Counts

101 → 101

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	123	1021
1	226	918
2	521	866
3	1063	801
4	2770	795
done	5001	771

prune606.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
0.0b	(/ (- z a) (- z t))
0.2b	(/ 1 (/ (/ (- z a) (- z t)) y))
3.5b	(/ (/ (- z a) (- z t)) y)

rewrite386.0ms

Algorithm

rewrite-expression-head

Rules

1181×	`times-frac`
797×	`*-un-lft-identity`
794×	`add-sqr-sqrt`
450×	`add-cube-cbrt`
172×	`distribute-lft-out--` `difference-of-squares`
105×	`associate-/r*`
39×	`associate-/l*`
35×	`associate-/r/`
32×	`add-exp-log`
24×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

4 → 624

Calls

4 calls:

179.0ms	(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
36.0ms	(/ (- z a) (- z t))
49.0ms	(/ 1 (/ (/ (- z a) (- z t)) y))
44.0ms	(/ (/ (- z a) (- z t)) y)

series618.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
59.0ms	(/ (- z a) (- z t))
305.0ms	(/ 1 (/ (/ (- z a) (- z t)) y))
130.0ms	(/ (/ (- z a) (- z t)) y)

simplify2.3s

Counts

636 → 636

Iterations

Useful iterations: 2 (1.5s)

Iter	Nodes	Cost
0	725	14217
1	1748	12572
2	3851	11292
done	5000	11292

prune1.4s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes300.0ms

Accuracy

58.3% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.3b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	19	57
1	25	47
done	25	47

end0.0ms

sample1.2s

Algorithm

intervals

Results

511.0ms	8722×	body	80	valid
0.0ms	1×	body	320	valid