Details

sample29.0ms

Algorithm

intervals

Results

11.0ms	248×	body	80	valid
1.0ms	2×	body	2560	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 17

Calls

1 calls:

16.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify3.9s

Counts

20 → 20

Iterations

Iter	Nodes
done	5000
5	4285
4	1480
3	560
2	232
1	89
0	33

prune142.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

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)))

rewrite132.0ms

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×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

104.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
7.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
7.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
7.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series338.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
80.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
82.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
108.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify2.0s

Counts

115 → 115

Iterations

Iter	Nodes
done	5000
3	2792
2	1054
1	402
0	164

prune782.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize141.0ms

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
18×	`*-un-lft-identity`
12×	`cbrt-div`
10×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

4 → 70

Calls

4 calls:

13.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
16.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
14.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
15.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series285.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
61.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
62.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
95.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify1.9s

Counts

82 → 82

Iterations

Iter	Nodes
done	5004
3	3147
2	1019
1	351
0	150

prune754.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize118.0ms

Local error

Found 4 expressions with local error:

0.5b	(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))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

37×	`cbrt-prod`
19×	`*-un-lft-identity`
14×	`cbrt-div`
11×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

4 → 73

Calls

4 calls:

10.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
9.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
8.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
8.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series345.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
84.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
87.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
106.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify2.0s

Counts

85 → 85

Iterations

Iter	Nodes
done	5004
3	3147
2	1019
1	351
0	150

prune672.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes149.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample873.0ms

Algorithm

intervals

Results

612.0ms	7693×	body	80	valid
32.0ms	36×	body	2560	valid
16.0ms	105×	body	1280	valid
15.0ms	101×	body	640	valid
4.0ms	40×	body	320	valid
2.0ms	25×	body	160	valid