Details

sample27.0ms

Algorithm

intervals

Results

10.0ms

283×

body

valid

simplify672.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
13.1b	(/ (* y (- z t)) (- z a))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 55

Calls

2 calls:

22.0ms	(* y (- z t))
25.0ms	(/ (* y (- z t)) (- z a))

series118.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* y (- z t))
76.0ms	(/ (* y (- z t)) (- z a))

simplify2.9s

Counts

61 → 61

Iterations

Useful iterations: 2 (141.0ms)

Iter	Nodes	Cost
0	105	599
1	267	575
2	869	501
3	3979	501
done	5000	501

prune161.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z a) (- z t))
2.6b	(/ y (/ (- z a) (- z t)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 194

Calls

2 calls:

29.0ms	(/ (- z a) (- z t))
32.0ms	(/ y (/ (- z a) (- z t)))

series238.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ (- z a) (- z t))
169.0ms	(/ y (/ (- z a) (- z t)))

simplify1.6s

Counts

200 → 200

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	268	3480
1	613	3260
2	2222	3158
done	5000	3152

prune610.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ a (- z t))
0.0b	(- (/ z (- z t)) (/ a (- z t)))
0.0b	(/ z (- z t))
2.6b	(/ y (- (/ z (- z t)) (/ a (- z t))))

rewrite340.0ms

Algorithm

rewrite-expression-head

Rules

203×	`*-un-lft-identity`
174×	`times-frac`
153×	`add-sqr-sqrt`
68×	`distribute-lft-out--`
57×	`add-cube-cbrt`
38×	`difference-of-squares`
28×	`associate-/r*` `associate-/r/`
15×	`distribute-rgt-out--`
14×	`flip3--` `flip--`
13×	`div-inv`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
6×	`add-log-exp`
4×	`pow1`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
2×	`frac-sub` `sub-div`
1×	`sub-neg` `diff-log`

Counts

4 → 194

Calls

4 calls:

21.0ms	(/ a (- z t))
134.0ms	(- (/ z (- z t)) (/ a (- z t)))
24.0ms	(/ z (- z t))
135.0ms	(/ y (- (/ z (- z t)) (/ a (- z t))))

series401.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ a (- z t))
158.0ms	(- (/ z (- z t)) (/ a (- z t)))
52.0ms	(/ z (- z t))
155.0ms	(/ y (- (/ z (- z t)) (/ a (- z t))))

simplify2.3s

Counts

206 → 206

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	269	3264
1	504	3072
2	1342	2980
3	3281	2787
done	5000	2753

prune689.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
2.6b	(* y (/ (- z t) (- z a)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

24.0ms	(/ (- z t) (- z a))
53.0ms	(* y (/ (- z t) (- z a)))

series139.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (- z t) (- z a))
88.0ms	(* y (/ (- z t) (- z a)))

simplify1.9s

Counts

108 → 108

Iterations

Useful iterations: 2 (246.0ms)

Iter	Nodes	Cost
0	138	1319
1	347	1247
2	946	1165
3	2828	1165
done	5000	1165

prune333.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes262.0ms

Accuracy

48.4% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.4b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	61
1	29	61
done	29	61

end0.0ms

sample1.2s

Algorithm

intervals

Results

537.0ms	8690×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid