Details

sample22.0ms

Algorithm

intervals

Results

7.0ms	229×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	3×	body	2560	valid
0.0ms	4×	body	320	valid
0.0ms	5×	body	160	valid

simplify52.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	50
7	50
6	47
5	44
4	38
3	31
2	25
1	12
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `pow1` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `flip--`

Counts

1 → 12

Calls

1 calls:

4.0ms

(- x (* (/ 3.0 8.0) y))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(- x (* (/ 3.0 8.0) y))

simplify2.3s

Counts

15 → 15

Iterations

Iter	Nodes
done	5000
4	2712
3	887
2	249
1	81
0	32

prune63.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

45.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.5s

Counts

4 → 12

Calls

4 calls:

312.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
366.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
406.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
368.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify1.6s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
3	1690
2	636
1	257
0	119

prune482.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-div`
10×	`cbrt-prod`
9×	`flip3--` `flip--`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`frac-times` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`
2×	`associate-l/` `associate-r/`

Counts

4 → 56

Calls

4 calls:

4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
9.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

316.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
345.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
355.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
301.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify2.4s

Counts

68 → 68

Iterations

Iter	Nodes
done	5007
4	4726
3	1256
2	495
1	216
0	115

prune484.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize120.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
0.6b	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (* (* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y))))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

486×	`cbrt-div`
140×	`frac-times`
116×	`flip3--` `flip--`
61×	`cbrt-prod`
52×	`associate-*r/`
46×	`associate-*l/`
36×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 177

Calls

4 calls:

2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
43.0ms	(* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
155.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (* (* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y))))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))))

series1.4s

Counts

4 → 12

Calls

4 calls:

327.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
354.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
381.0ms	(* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
324.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (* (* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y))))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))))

simplify2.0s

Counts

189 → 189

Iterations

Iter	Nodes
done	5000
2	1881
1	855
0	420

prune1.2s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes327.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

678.0ms	7383×	body	80	valid
73.0ms	150×	body	640	valid
36.0ms	241×	body	1280	valid
18.0ms	83×	body	2560	valid
9.0ms	97×	body	320	valid
3.0ms	46×	body	160	valid