Details

sample24.0ms

Algorithm

intervals

Results

8.0ms	243×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	4×	body	2560	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify105.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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

Counts

1 → 13

Calls

1 calls:

36.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify1.1s

Counts: 16 → 16

prune33.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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)))

rewrite273.0ms

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×	`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:

203.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
25.0ms	(cbrt (+ x (/ (- x y) 2.0)))
19.0ms	(cbrt (+ x (/ (- x y) 2.0)))
19.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series2.2s

Counts

4 → 12

Calls

4 calls:

533.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
517.0ms	(cbrt (+ x (/ (- x y) 2.0)))
534.0ms	(cbrt (+ x (/ (- x y) 2.0)))
568.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify993.0ms

Counts: 107 → 107

prune259.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.9b	(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 4)

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-prod`
22×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`cbrt-div`
10×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 76

Calls

4 calls:

20.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
20.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
21.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
41.0ms	(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 4)

series2.4s

Counts

4 → 12

Calls

4 calls:

538.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
588.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
483.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
751.0ms	(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 4)

simplify1.1s

Counts: 88 → 88

prune387.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
0.0b	(- x (/ (- x y) 2.0))
13.8b	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
28.8b	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

122×	`add-sqr-sqrt`
110×	`*-un-lft-identity`
106×	`times-frac`
56×	`add-cube-cbrt`
32×	`difference-of-squares`
25×	`swap-sqr`
24×	`distribute-lft-out--`
19×	`associate-r` `associate-l`
18×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
8×	`add-log-exp`
6×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`flip3--` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `associate-/l/`
1×	`pow2` `frac-times` `frac-2neg` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `associate--r-`

Counts

4 → 171

Calls

4 calls:

81.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
30.0ms	(- x (/ (- x y) 2.0))
16.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
123.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

series307.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
64.0ms	(- x (/ (- x y) 2.0))
60.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
143.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

simplify1.9s

Counts: 183 → 183

prune518.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify158.0ms

end0.0ms

sample631.0ms

Algorithm

intervals

Results

306.0ms	7404×	body	80	valid
26.0ms	212×	body	1280	valid
16.0ms	166×	body	640	valid
14.0ms	99×	body	2560	valid
6.0ms	79×	body	320	valid
2.0ms	42×	body	160	valid