Details

sample26.0ms

Algorithm

intervals

Results

11.0ms	249×	body	80	valid
1.0ms	3×	body	2560	valid
1.0ms	3×	body	1280	valid
0.0ms	1×	body	320	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 18

Calls

1 calls:

17.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify3.8s

Counts

21 → 21

Iterations

Iter	Nodes
done	5000
5	4267
4	1455
3	564
2	235
1	90
0	34

prune78.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

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)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `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 → 85

Calls

4 calls:

11.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
2.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

329.0ms	(* (cbrt x) (cbrt x))
292.0ms	(cbrt x)
269.0ms	(cbrt x)
280.0ms	(cbrt x)

simplify3.4s

Counts

97 → 97

Iterations

Iter	Nodes
done	5003
4	4334
3	1106
2	364
1	141
0	67

prune518.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt (cbrt x))
9.0ms	(cbrt (* (cbrt x) (cbrt x)))

series1.4s

Counts

4 → 12

Calls

4 calls:

334.0ms	(cbrt x)
305.0ms	(cbrt x)
371.0ms	(cbrt (cbrt x))
421.0ms	(cbrt (* (cbrt x) (cbrt x)))

simplify1.6s

Counts

69 → 69

Iterations

Iter	Nodes
done	5001
4	1597
3	652
2	273
1	121
0	67

prune522.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
30×	`sqrt-prod`
20×	`pow1`
15×	`add-cube-cbrt`
14×	`sqrt-div`
11×	`swap-sqr`
9×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+` `distribute-lft-out`
8×	`add-log-exp`
7×	`associate-r` `associate-l`
6×	`fma-def` `add-cbrt-cube` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `sum-log` `associate-l/` `associate-r/` `hypot-def`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `times-frac` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 122

Calls

4 calls:

31.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
20.0ms	(+ x (/ (fabs (- y x)) 2.0))
20.0ms	(+ x (/ (fabs (- y x)) 2.0))
107.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series133.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
18.0ms	(+ x (/ (fabs (- y x)) 2.0))
22.0ms	(+ x (/ (fabs (- y x)) 2.0))
37.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify2.4s

Counts

134 → 134

Iterations

Iter	Nodes
done	5001
3	2521
2	815
1	316
0	138

prune422.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes118.0ms

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

sample612.0ms

Algorithm

intervals

Results

406.0ms	7672×	body	80	valid
25.0ms	133×	body	1280	valid
13.0ms	79×	body	640	valid
13.0ms	57×	body	2560	valid
4.0ms	39×	body	320	valid
2.0ms	20×	body	160	valid