Details

sample30.0ms

Algorithm

intervals

Results

11.0ms

282×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	34	11
3	55	11
4	95	11
5	157	11
6	246	11
7	282	11
8	353	11
9	496	11
10	818	11
11	2304	11
done	5000	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.5b	(* y (/ (- z t) (- a t)))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

9.0ms	(+ x (* y (/ (- z t) (- a t))))
31.0ms	(/ (- z t) (- a t))
67.0ms	(* y (/ (- z t) (- a t)))

series270.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(+ x (* y (/ (- z t) (- a t))))
72.0ms	(/ (- z t) (- a t))
99.0ms	(* y (/ (- z t) (- a t)))

simplify879.0ms

Counts

122 → 122

Iterations

Useful iterations: done (871.0ms)

Iter	Nodes	Cost
0	162	1555
1	446	1466
2	1787	1374
done	5000	1368

prune310.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

7.0ms	(cbrt (- a t))
7.0ms	(cbrt (- z t))
6.0ms	(cbrt (- z t))
5.0ms	(cbrt (- z t))

series804.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(cbrt (- a t))
205.0ms	(cbrt (- z t))
204.0ms	(cbrt (- z t))
188.0ms	(cbrt (- z t))

simplify981.0ms

Counts

72 → 72

Iterations

Useful iterations: done (978.0ms)

Iter	Nodes	Cost
0	114	744
1	231	728
2	579	696
3	1895	650
done	5000	598

prune355.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (cbrt (- z t)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
17×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`cbrt-div`
9×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 63

Calls

4 calls:

4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
5.0ms	(cbrt (cbrt (- z t)))

series743.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(cbrt (- z t))
156.0ms	(cbrt (- z t))
192.0ms	(cbrt (- z t))
190.0ms	(cbrt (cbrt (- z t)))

simplify858.0ms

Counts

75 → 75

Iterations

Useful iterations: done (855.0ms)

Iter	Nodes	Cost
0	110	805
1	225	786
2	527	752
3	1631	707
done	5001	656

prune468.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (- a t))
0.0b	(+ x (* y (- (/ z (- a t)) (/ t (- a t)))))
0.0b	(/ t (- a t))
1.5b	(* y (- (/ z (- a t)) (/ t (- a t))))

rewrite385.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 130

Calls

4 calls:

13.0ms	(/ z (- a t))
29.0ms	(+ x (* y (- (/ z (- a t)) (/ t (- a t)))))
16.0ms	(/ t (- a t))
322.0ms	(* y (- (/ z (- a t)) (/ t (- a t))))

series365.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ z (- a t))
150.0ms	(+ x (* y (- (/ z (- a t)) (/ t (- a t)))))
53.0ms	(/ t (- a t))
115.0ms	(* y (- (/ z (- a t)) (/ t (- a t))))

simplify808.0ms

Counts

142 → 142

Iterations

Useful iterations: 2 (279.0ms)

Iter	Nodes	Cost
0	204	1699
1	502	1579
2	1684	1493
done	5001	1493

prune503.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes199.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	33
1	19	33
done	19	33

end0.0ms

sample1.4s

Algorithm

intervals

Results

811.0ms	8719×	body	80	valid
0.0ms	1×	body	160	valid