Details

sample17.0ms

Algorithm

intervals

Results

6.0ms	248×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid

simplify20.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (fabs (- y x)) 2.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 12

Calls

1 calls:

23.0ms

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

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

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

simplify1.9s

Counts: 15 → 15

prune74.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite197.0ms

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:

147.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
9.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
17.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
17.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series317.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
86.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
81.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
71.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify663.0ms

Counts: 107 → 107

prune435.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
17×	`*-un-lft-identity`
10×	`cbrt-div`
9×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 59

Calls

4 calls:

13.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
16.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
16.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
17.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series388.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
99.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
85.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
93.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify1.5s

Counts: 71 → 71

prune494.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

130×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
21×	`cbrt-prod`
14×	`-un-lft-identity` `associate-l/`
8×	`add-sqr-sqrt` `add-cube-cbrt` `associate-*r/`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-out`
1×	`pow3` `rem-cbrt-cube`

Counts

4 → 81

Calls

4 calls:

12.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
9.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
10.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
28.0ms	(cbrt (* (cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))))

series351.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
79.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
96.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
106.0ms	(cbrt (* (cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))))

simplify1.5s

Counts: 93 → 93

prune682.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes184.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify25.0ms

end0.0ms

sample799.0ms

Algorithm

intervals

Results

426.0ms	7714×	body	80	valid
21.0ms	102×	body	1280	valid
12.0ms	74×	body	640	valid
11.0ms	49×	body	2560	valid
5.0ms	41×	body	320	valid
2.0ms	21×	body	160	valid