Details

sample24.0ms

Algorithm

intervals

Results

11.0ms	315×	body	80	valid
1.0ms	5×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid

simplify490.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	12	15
1	30	15
2	80	13
3	213	13
4	465	13
5	691	13
6	709	13
done	709	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))
0.0b	(* (+ (* 2 (+ y z)) t) x)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`flip3-+` `associate-*l/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

3.0ms	(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))
24.0ms	(* (+ (* 2 (+ y z)) t) x)

series81.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))
35.0ms	(* (+ (* 2 (+ y z)) t) x)

simplify1.8s

Counts

37 → 37

Iterations

Useful iterations: 3 (345.0ms)

Iter	Nodes	Cost
0	75	579
1	227	545
2	826	485
3	3940	477
done	5000	477

prune102.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
0.5b	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
0.5b	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
0.5b	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `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 → 87

Calls

4 calls:

21.0ms	(* (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
2.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
2.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
2.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))

series2.1s

Counts

4 → 12

Calls

4 calls:

921.0ms	(* (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
381.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
379.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
373.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))

simplify2.1s

Counts

99 → 99

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	183	3548
1	443	3307
2	1414	3085
3	4834	2742
done	5000	2734

prune319.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
0.5b	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
0.5b	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
0.5b	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
14×	`cbrt-div`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

2.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
2.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
3.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
2.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))

series1.5s

Counts

4 → 12

Calls

4 calls:

369.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
367.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
376.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
367.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))

simplify902.0ms

Counts

73 → 73

Iterations

Useful iterations: done (896.0ms)

Iter	Nodes	Cost
0	155	2239
1	372	2176
2	946	2027
3	2930	1975
done	5001	1967

prune314.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
0.5b	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
0.5b	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
0.5b	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
16×	`cbrt-div`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

2.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
2.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
2.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
3.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))

series1.5s

Counts

4 → 12

Calls

4 calls:

371.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
364.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
372.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
367.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))

simplify722.0ms

Counts

76 → 76

Iterations

Useful iterations: done (718.0ms)

Iter	Nodes	Cost
0	111	2356
1	261	2292
2	676	2136
3	2221	2092
done	5000	2084

prune346.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes133.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	18	13
done	18	13

end0.0ms

sample612.0ms

Algorithm

intervals

Results

320.0ms	10525×	body	80	valid
14.0ms	100×	body	1280	valid
11.0ms	99×	body	640	valid
5.0ms	59×	body	320	valid
2.0ms	32×	body	160	valid