Details

sample24.0ms

Algorithm

intervals

Results

7.0ms	242×	body	80	valid
1.0ms	6×	body	640	valid
0.0ms	3×	body	2560	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	320	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	10	8
2	11	8
done	11	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

11.0ms

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

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

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

simplify3.8s

Counts

20 → 20

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	33	213
1	89	204
2	226	185
3	515	185
4	1428	185
5	3947	185
done	5000	185

prune71.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

12.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

340.0ms	(* (cbrt x) (cbrt x))
287.0ms	(cbrt x)
292.0ms	(cbrt x)
292.0ms	(cbrt x)

simplify5.8s

Counts

93 → 93

Iterations

Useful iterations: done (5.8s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune360.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.8b	(pow (cbrt (cbrt x)) 4)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 71

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))
5.0ms	(pow (cbrt (cbrt x)) 4)

series1.7s

Counts

4 → 12

Calls

4 calls:

335.0ms	(cbrt x)
448.0ms	(cbrt (cbrt x))
427.0ms	(cbrt (cbrt x))
519.0ms	(pow (cbrt (cbrt x)) 4)

simplify3.5s

Counts

83 → 83

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	84	560
1	168	519
2	356	472
3	834	458
4	3426	446
done	5000	446

prune451.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite156.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 103

Calls

4 calls:

10.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
16.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
12.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
115.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series344.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
98.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
84.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
69.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify2.8s

Counts

115 → 115

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	164	2756
1	378	2543
2	1008	2384
3	2850	2129
done	5000	2078

prune443.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes120.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample732.0ms

Algorithm

intervals

Results

393.0ms	7701×	body	80	valid
15.0ms	88×	body	1280	valid
14.0ms	65×	body	2560	valid
10.0ms	76×	body	640	valid
5.0ms	46×	body	320	valid
2.0ms	27×	body	160	valid