Details

sample31.0ms

Algorithm

intervals

Results

10.0ms	234×	body	80	valid
1.0ms	8×	body	320	valid
1.0ms	6×	body	640	valid
1.0ms	4×	body	1280	valid
1.0ms	3×	body	2560	valid
0.0ms	1×	body	160	valid

simplify107.0ms

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

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

13.0ms

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

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

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

simplify6.8s

Counts

23 → 23

Iterations

Iter	Nodes
done	5000
4	4008
3	1113
2	333
1	108
0	45

prune188.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize47.0ms

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)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

74.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
8.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
7.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
7.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series2.2s

Counts

4 → 12

Calls

4 calls:

514.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
558.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
576.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
557.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify5.1s

Counts

107 → 107

Iterations

Iter	Nodes
done	5002
3	1768
2	680
1	265
0	123

prune1.5s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize99.0ms

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))))

rewrite418.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

9.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
11.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
386.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
8.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series2.7s

Counts

4 → 12

Calls

4 calls:

527.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
733.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
584.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
859.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify4.0s

Counts

79 → 79

Iterations

Iter	Nodes
done	5001
3	1614
2	630
1	277
0	148

prune2.0s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize175.0ms

Local error

Found 4 expressions with local error:

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

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

25.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
30.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
30.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
8.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series3.8s

Counts

4 → 12

Calls

4 calls:

1.6s	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
1.1s	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
472.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
512.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify10.3s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
4	4812
3	1394
2	524
1	232
0	129

prune3.5s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end8.0ms

sample1.3s

Algorithm

intervals

Results

694.0ms	7447×	body	80	valid
205.0ms	160×	body	640	valid
61.0ms	192×	body	1280	valid
24.0ms	78×	body	2560	valid
10.0ms	82×	body	320	valid
4.0ms	41×	body	160	valid