Details

sample37.0ms

Algorithm

intervals

Results

14.0ms

277×

body

valid

simplify1.9s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.2b	(* y (/ (- z t) (- a t)))

rewrite115.0ms

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:

10.0ms	(+ x (* y (/ (- z t) (- a t))))
26.0ms	(/ (- z t) (- a t))
72.0ms	(* y (/ (- z t) (- a t)))

series291.0ms

Counts

3 → 9

Calls

3 calls:

126.0ms	(+ x (* y (/ (- z t) (- a t))))
73.0ms	(/ (- z t) (- a t))
92.0ms	(* y (/ (- z t) (- a t)))

simplify960.0ms

Counts

122 → 122

Iterations

Useful iterations: done (956.0ms)

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

prune345.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

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:

4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- a t))
5.0ms	(cbrt (- a t))
7.0ms	(cbrt (- a t))

series811.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(cbrt (- z t))
213.0ms	(cbrt (- a t))
210.0ms	(cbrt (- a t))
190.0ms	(cbrt (- a t))

simplify883.0ms

Counts

72 → 72

Iterations

Useful iterations: done (880.0ms)

Iter	Nodes	Cost
0	114	744
1	231	728
2	577	696
3	1888	654
done	5001	602

prune460.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

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:

11.0ms	(cbrt (cbrt (- z t)))
4.0ms	(cbrt (- a t))
4.0ms	(cbrt (- a t))
7.0ms	(cbrt (- a t))

series761.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(cbrt (cbrt (- z t)))
162.0ms	(cbrt (- a t))
205.0ms	(cbrt (- a t))
196.0ms	(cbrt (- a t))

simplify925.0ms

Counts

75 → 75

Iterations

Useful iterations: done (916.0ms)

Iter	Nodes	Cost
0	142	805
1	280	786
2	679	752
3	2116	712
done	5000	662

prune481.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

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:

6.0ms	(cbrt (cbrt (- z t)))
4.0ms	(cbrt (- a t))
4.0ms	(cbrt (- a t))
4.0ms	(cbrt (- a t))

series835.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt (cbrt (- z t)))
237.0ms	(cbrt (- a t))
197.0ms	(cbrt (- a t))
221.0ms	(cbrt (- a t))

simplify1.0s

Counts

75 → 75

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	142	805
1	280	786
2	679	752
3	2116	712
done	5000	662

prune436.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes538.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample1.1s

Algorithm

intervals

Results

525.0ms	8710×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	160	valid