Details

sample14.0ms

Algorithm

intervals

Results

5.0ms	246×	body	80	valid
0.0ms	5×	body	1280	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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))

rewrite7.0ms

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:

6.0ms

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

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

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

simplify1.9s

Counts

20 → 20

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	33	213
1	89	204
2	199	185
3	454	185
4	1164	185
5	3318	185
done	5000	185

prune60.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite9.0ms

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:

6.0ms	(* (cbrt x) (cbrt x))
0.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series798.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(* (cbrt x) (cbrt x))
186.0ms	(cbrt x)
190.0ms	(cbrt x)
196.0ms	(cbrt x)

simplify4.0s

Counts

93 → 93

Iterations

Useful iterations: 4 (2.0s)

Iter	Nodes	Cost
0	65	554
1	119	495
2	322	423
3	1163	405
4	3785	400
done	5000	400

prune278.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite72.0ms

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:

48.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
9.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series242.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
63.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
57.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
63.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify1.3s

Counts

115 → 115

Iterations

Useful iterations: 3 (522.0ms)

Iter	Nodes	Cost
0	164	2756
1	378	2555
2	1055	2384
3	3331	2129
done	5000	2129

prune367.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
42×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
36×	`cbrt-div`
22×	`add-cube-cbrt`
12×	`swap-sqr`
11×	`pow1`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out` `unswap-sqr`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 126

Calls

4 calls:

52.0ms	(* (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
10.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series243.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
58.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
63.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
63.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify1.4s

Counts

138 → 138

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	195	3674
1	405	3487
2	1130	3304
3	3493	2947
done	5000	2935

prune493.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes96.0ms

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

sample309.0ms

Algorithm

intervals

Results

161.0ms	7709×	body	80	valid
10.0ms	114×	body	1280	valid
6.0ms	76×	body	640	valid
5.0ms	43×	body	2560	valid
2.0ms	36×	body	320	valid
1.0ms	24×	body	160	valid