Details

sample34.0ms

Algorithm

intervals

Results

12.0ms	245×	body	80	valid
2.0ms	7×	body	1280	valid
1.0ms	5×	body	640	valid

simplify26.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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:

24.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify2.1s

Counts: 15 → 15

prune88.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (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)))

rewrite176.0ms

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:

116.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
20.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
18.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
18.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series374.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
100.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
93.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
95.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify746.0ms

Counts: 107 → 107

prune433.0ms

Pruning

7 alts after pruning (5 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 (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

20.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
18.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
17.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
18.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series433.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
106.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
92.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
124.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify1.0s

Counts: 68 → 68

prune380.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

20.0ms	(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
20.0ms	(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
28.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
16.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series444.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
112.0ms	(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
121.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
96.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify1.6s

Counts: 74 → 74

prune428.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes137.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify16.0ms

end0.0ms

sample704.0ms

Algorithm

intervals

Results

370.0ms	7671×	body	80	valid
25.0ms	145×	body	1280	valid
11.0ms	84×	body	640	valid
8.0ms	39×	body	2560	valid
5.0ms	43×	body	320	valid
1.0ms	19×	body	160	valid