Details

sample26.0ms

Algorithm

intervals

Results

9.0ms	239×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	5×	body	640	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	320	valid

simplify47.0ms

Counts

1 → 1

Iterations

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

prune3.0ms

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))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify2.4s

Counts

15 → 15

Iterations

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

prune62.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))
0.0b	(sqrt (- x (* (/ 3.0 8.0) y)))
0.0b	(sqrt (- x (* (/ 3.0 8.0) y)))
0.3b	(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `sub-neg` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

4.0ms	(- x (* (/ 3.0 8.0) y))
4.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
27.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

series329.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- x (* (/ 3.0 8.0) y))
118.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
112.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
42.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

simplify1.6s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
3	2024
2	637
1	248
0	112

prune477.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (sqrt (- x (* (/ 3.0 8.0) y))) (fabs (cbrt (- x (* (/ 3.0 8.0) y))))) (sqrt (cbrt (- x (* (/ 3.0 8.0) y)))))
0.2b	(* (sqrt (- x (* (/ 3.0 8.0) y))) (fabs (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)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`sqrt-div`
12×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`cbrt-div` `associate-*l/` `sqrt-prod`
9×	`cbrt-prod` `flip3--` `flip--`
7×	`associate-l`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`pow1/3` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

40.0ms	(* (* (sqrt (- x (* (/ 3.0 8.0) y))) (fabs (cbrt (- x (* (/ 3.0 8.0) y))))) (sqrt (cbrt (- x (* (/ 3.0 8.0) y)))))
14.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (fabs (cbrt (- x (* (/ 3.0 8.0) y)))))
4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

265.0ms	(* (* (sqrt (- x (* (/ 3.0 8.0) y))) (fabs (cbrt (- x (* (/ 3.0 8.0) y))))) (sqrt (cbrt (- x (* (/ 3.0 8.0) y)))))
144.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (fabs (cbrt (- x (* (/ 3.0 8.0) y)))))
450.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
433.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify3.6s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
3	4714
2	1431
1	509
0	209

prune661.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize123.0ms

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))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

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

series1.6s

Counts

4 → 12

Calls

4 calls:

406.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
415.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
388.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
427.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify3.0s

Counts

73 → 73

Iterations

Iter	Nodes
done	5017
4	4210
3	1237
2	467
1	195
0	95

prune606.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes279.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample662.0ms

Algorithm

intervals

Results

348.0ms	7376×	body	80	valid
39.0ms	240×	body	1280	valid
22.0ms	98×	body	2560	valid
19.0ms	141×	body	640	valid
10.0ms	100×	body	320	valid
3.0ms	45×	body	160	valid