Details

sample26.0ms

Algorithm

intervals

Results

11.0ms	238×	body	80	valid
1.0ms	6×	body	2560	valid
0.0ms	4×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	3×	body	1280	valid

simplify81.0ms

Counts

1 → 1

Iterations

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

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))

rewrite5.0ms

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:

5.0ms

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

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify1.4s

Counts

23 → 23

Iterations

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

prune76.0ms

Pruning

3 alts after pruning (2 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)))

rewrite37.0ms

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:

27.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (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)))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

419.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
290.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
326.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
281.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify4.8s

Counts

107 → 107

Iterations

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

prune704.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize130.0ms

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-div`
14×	`flip3--` `flip--`
8×	`cbrt-prod` `frac-times`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `associate-l/` `associate-r/` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 68

Calls

4 calls:

5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
19.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
19.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series1.5s

Counts

4 → 12

Calls

4 calls:

414.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
348.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
368.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
358.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify1.5s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
3	1715
2	544
1	223
0	119

prune586.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize111.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

62×	`cbrt-div`
19×	`flip3--` `flip--`
12×	`frac-times`
6×	`cbrt-prod` `associate-l/` `associate-r/`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 72

Calls

4 calls:

5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
20.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
20.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
14.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series1.5s

Counts

4 → 12

Calls

4 calls:

409.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
370.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
348.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
326.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify1.4s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
3	1715
2	544
1	223
0	119

prune605.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes375.0ms

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

sample678.0ms

Algorithm

intervals

Results

363.0ms	7383×	body	80	valid
37.0ms	216×	body	1280	valid
26.0ms	168×	body	640	valid
17.0ms	81×	body	2560	valid
10.0ms	99×	body	320	valid
4.0ms	53×	body	160	valid