Details

sample28.0ms

Algorithm

intervals

Results

8.0ms	237×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	5×	body	2560	valid
0.0ms	2×	body	640	valid
0.0ms	3×	body	160	valid

simplify66.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	59
7	59
6	57
5	51
4	45
3	38
2	25
1	12
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:

7.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify1.7s

Counts

23 → 23

Iterations

Iter	Nodes
done	5000
3	2402
2	436
1	108
0	45

prune123.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

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:

44.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

340.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
324.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
290.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
280.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify4.6s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
3	4962
2	917
1	267
0	123

prune692.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize82.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
16×	`cbrt-prod`
9×	`flip3--` `flip--`
8×	`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 → 67

Calls

4 calls:

4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
16.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
5.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.6s

Counts

4 → 12

Calls

4 calls:

438.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
414.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
384.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
406.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify1.6s

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
3	2020
2	669
1	277
0	148

prune583.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
14×	`cbrt-div`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `flip--` `add-log-exp`

Counts

4 → 69

Calls

4 calls:

5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
7.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.5s

Counts

4 → 12

Calls

4 calls:

404.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
310.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
388.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
385.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify1.2s

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
3	1650
2	513
1	202
0	99

prune510.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes351.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample747.0ms

Algorithm

intervals

Results

267.0ms	75×	body	2560	valid
239.0ms	7443×	body	80	valid
19.0ms	179×	body	1280	valid
13.0ms	159×	body	640	valid
6.0ms	98×	body	320	valid
2.0ms	46×	body	160	valid