Details

sample27.0ms

Algorithm

intervals

Results

8.0ms	235×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	5×	body	640	valid
1.0ms	3×	body	2560	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4327
8	1259
7	477
6	204
5	93
4	40
3	29
2	19
1	12
0	6

prune4.0ms

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 (/ (- x y) 2.0))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+r-` `sum-log` `flip3-+` `add-cbrt-cube` `div-sub` `add-exp-log` `add-cube-cbrt` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

35.0ms

(+ x (/ (- x y) 2.0))

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

(+ x (/ (- x y) 2.0))

simplify1.9s

Counts

16 → 16

Iterations

Iter	Nodes
done	5000
4	3912
3	803
2	250
1	92
0	34

prune85.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `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:

187.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
26.0ms	(cbrt (+ x (/ (- x y) 2.0)))
20.0ms	(cbrt (+ x (/ (- x y) 2.0)))
16.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series2.0s

Counts

4 → 12

Calls

4 calls:

490.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
562.0ms	(cbrt (+ x (/ (- x y) 2.0)))
472.0ms	(cbrt (+ x (/ (- x y) 2.0)))
469.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify1.5s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	888
1	285
0	129

prune561.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
20×	`cbrt-prod`
14×	`*-un-lft-identity`
9×	`flip3-+` `flip-+`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`frac-times` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`
3×	`distribute-lft-out`
2×	`associate-l/` `associate-r/`

Counts

4 → 62

Calls

4 calls:

26.0ms	(cbrt (+ x (/ (- x y) 2.0)))
25.0ms	(cbrt (+ x (/ (- x y) 2.0)))
61.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
26.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series2.1s

Counts

4 → 12

Calls

4 calls:

512.0ms	(cbrt (+ x (/ (- x y) 2.0)))
585.0ms	(cbrt (+ x (/ (- x y) 2.0)))
529.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
523.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify1.1s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
3	1603
2	621
1	286
0	153

prune510.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
20×	`cbrt-prod`
14×	`*-un-lft-identity`
9×	`flip3-+` `flip-+`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`frac-times` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`
3×	`distribute-lft-out`
2×	`associate-l/` `associate-r/`

Counts

4 → 62

Calls

4 calls:

17.0ms	(cbrt (+ x (/ (- x y) 2.0)))
22.0ms	(cbrt (+ x (/ (- x y) 2.0)))
52.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
32.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series1.9s

Counts

4 → 12

Calls

4 calls:

452.0ms	(cbrt (+ x (/ (- x y) 2.0)))
449.0ms	(cbrt (+ x (/ (- x y) 2.0)))
478.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
535.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify1.2s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
3	1603
2	621
1	286
0	153

prune481.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes232.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample668.0ms

Algorithm

intervals

Results

266.0ms	7373×	body	80	valid
90.0ms	230×	body	1280	valid
17.0ms	162×	body	640	valid
14.0ms	94×	body	2560	valid
7.0ms	88×	body	320	valid
3.0ms	54×	body	160	valid