Details

sample26.0ms

Algorithm

intervals

Results

8.0ms	229×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	6×	body	640	valid
1.0ms	3×	body	2560	valid
0.0ms	4×	body	320	valid
0.0ms	5×	body	160	valid

simplify64.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	54
7	54
6	51
5	48
4	42
3	35
2	25
1	12
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `fma-neg` `prod-diff` `add-cube-cbrt` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `log1p-expm1-u` `flip--`

Counts

1 → 20

Calls

1 calls:

15.0ms

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

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify2.3s

Counts

23 → 23

Iterations

Iter	Nodes
done	5000
4	4008
3	1123
2	333
1	108
0	45

prune100.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize40.0ms

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)))

rewrite35.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 95

Calls

4 calls:

26.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

274.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
329.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
358.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
318.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify1.6s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
3	1785
2	678
1	265
0	123

prune451.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

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)))))

rewrite18.0ms

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×	`expm1-log1p-u` `frac-times` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`
2×	`associate-l/` `associate-r/`

Counts

4 → 64

Calls

4 calls:

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

296.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
341.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
365.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
293.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify1.5s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
3	1421
2	521
1	223
0	119

prune587.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize107.0ms

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

rewrite347.0ms

Algorithm

rewrite-expression-head

Rules

486×	`cbrt-div`
140×	`frac-times`
116×	`flip3--` `flip--`
70×	`associate-*l/`
61×	`cbrt-prod`
36×	`add-sqr-sqrt`
28×	`associate-*r/`
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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 185

Calls

4 calls:

5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
54.0ms	(* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
269.0ms	(cbrt (* (* (* (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 (- x (* (/ 3.0 8.0) y)))))

series1.5s

Counts

4 → 12

Calls

4 calls:

378.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
367.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
358.0ms	(* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
380.0ms	(cbrt (* (* (* (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 (- x (* (/ 3.0 8.0) y)))))

simplify2.3s

Counts

197 → 197

Iterations

Iter	Nodes
done	5001
2	1856
1	871
0	426

prune1.2s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes288.0ms

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

sample635.0ms

Algorithm

intervals

Results

345.0ms	7383×	body	80	valid
38.0ms	241×	body	1280	valid
19.0ms	150×	body	640	valid
16.0ms	83×	body	2560	valid
9.0ms	97×	body	320	valid
3.0ms	46×	body	160	valid