Details

sample17.0ms

Algorithm

intervals

Results

6.0ms	250×	body	80	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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:

12.0ms

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

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

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

simplify4.0s

Counts

20 → 20

Iterations

Useful iterations: 2 (53.0ms)

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

prune59.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (fabs (- y x)) 2.0))
0.0b	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.0b	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.4b	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
34×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
15×	`add-cube-cbrt`
11×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `hypot-def` `log1p-expm1-u` `unswap-sqr`
3×	`fma-def` `pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `times-frac` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 121

Calls

4 calls:

24.0ms	(+ x (/ (fabs (- y x)) 2.0))
23.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
22.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
126.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series169.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ x (/ (fabs (- y x)) 2.0))
65.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
65.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
19.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify2.6s

Counts

133 → 133

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	135	2667
1	284	1909
2	787	1765
3	2441	1708
done	5000	1674

prune395.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
0.4b	(* (* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (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)))

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
17×	`associate-r`
14×	`sqrt-div`
13×	`cbrt-prod` `sqrt-prod`
12×	`add-cube-cbrt` `cbrt-div`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `associate-l/` `-commutative`

Counts

4 → 95

Calls

4 calls:

81.0ms	(* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
119.0ms	(* (* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
18.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
16.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series414.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
106.0ms	(* (* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
88.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
100.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify1.5s

Counts

107 → 107

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	272	3563
1	681	3320
2	2115	3053
done	5001	2918

prune568.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))

series115.0ms

Counts

1 → 3

Calls

1 calls:

115.0ms

(fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))

simplify4.2s

Counts

13 → 13

Iterations

Useful iterations: 5 (2.9s)

Iter	Nodes	Cost
0	40	216
1	89	171
2	216	145
3	538	143
4	1416	142
5	3911	138
done	5000	138

prune36.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.2s

Algorithm

intervals

Results

852.0ms	7686×	body	80	valid
22.0ms	108×	body	1280	valid
12.0ms	56×	body	2560	valid
12.0ms	80×	body	640	valid
6.0ms	53×	body	320	valid
1.0ms	17×	body	160	valid