Details

sample14.0ms

Algorithm

intervals

Results

4.0ms	242×	body	80	valid
0.0ms	5×	body	1280	valid
0.0ms	4×	body	640	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	4
1	11	4
2	11	4
done	11	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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:

11.0ms

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

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

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

simplify112.0ms

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	83	100
1	207	91
2	481	91
3	1288	91
4	3899	91
5	5002	91
done	5002	91

prune36.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite108.0ms

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:

78.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
9.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
9.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
9.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
61.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
57.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
61.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify45.0ms

Counts

107 → 107

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	364	1473
1	1202	1394
2	5001	1293
done	5001	1293

prune285.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

23.0ms	(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
23.0ms	(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
9.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
13.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series235.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
57.0ms	(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
62.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
56.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify95.0ms

Counts

80 → 80

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	346	1494
1	934	1418
2	3313	1406
3	5001	1406
done	5001	1406

prune341.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-prod`
20×	`*-un-lft-identity`
16×	`cbrt-div`
12×	`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 → 68

Calls

4 calls:

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

series247.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
75.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
59.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
58.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify63.0ms

Counts

80 → 80

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	221	1100
1	599	1048
2	2168	1040
3	5001	1040
done	5001	1040

prune414.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes83.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4
done	8	4

end0.0ms

sample332.0ms

Algorithm

intervals

Results

141.0ms	7664×	body	80	valid
11.0ms	133×	body	1280	valid
6.0ms	57×	body	2560	valid
5.0ms	78×	body	640	valid
2.0ms	44×	body	320	valid
1.0ms	27×	body	160	valid