Details

sample28.0ms

Algorithm

intervals

Results

11.0ms	250×	body	80	valid
1.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid

simplify12.0ms

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

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite40.0ms

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:

36.0ms

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

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

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

simplify12.5s

Counts

20 → 20

Iterations

Iter	Nodes
done	5000
5	4297
4	1456
3	563
2	232
1	89
0	33

prune366.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite271.0ms

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:

1.0ms	(cbrt x)
2.0ms	(cbrt x)
215.0ms	(cbrt x)
24.0ms	(* (cbrt x) (cbrt x))

series2.4s

Counts

4 → 12

Calls

4 calls:

414.0ms	(cbrt x)
850.0ms	(cbrt x)
543.0ms	(cbrt x)
576.0ms	(* (cbrt x) (cbrt x))

simplify12.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
4	3874
3	1030
2	377
1	141
0	65

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize63.0ms

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))))

rewrite439.0ms

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×	`add-exp-log` `fma-def` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-r/` `associate-l/` `sum-log` `hypot-def`
1×	`pow2` `rem-sqrt-square` `times-frac` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 118

Calls

4 calls:

39.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
22.0ms	(+ x (/ (fabs (- y x)) 2.0))
22.0ms	(+ x (/ (fabs (- y x)) 2.0))
179.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series585.0ms

Counts

4 → 12

Calls

4 calls:

315.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
71.0ms	(+ x (/ (fabs (- y x)) 2.0))
76.0ms	(+ x (/ (fabs (- y x)) 2.0))
119.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify5.2s

Counts

130 → 130

Iterations

Iter	Nodes
done	5006
3	2418
2	784
1	310
0	135

prune899.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize133.0ms

Local error

Found 4 expressions with local error:

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

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

69×	`cbrt-prod`
44×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
40×	`sqrt-prod`
22×	`add-cube-cbrt`
18×	`cbrt-div` `sqrt-div`
14×	`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 → 128

Calls

4 calls:

188.0ms	(* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
20.0ms	(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
19.0ms	(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
38.0ms	(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series891.0ms

Counts

4 → 12

Calls

4 calls:

302.0ms	(* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
309.0ms	(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
154.0ms	(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
110.0ms	(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify7.0s

Counts

140 → 140

Iterations

Iter	Nodes
done	5000
3	3049
2	1153
1	436
0	189

prune2.0s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes1.0s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.4s	7658×	body	80	valid
37.0ms	124×	body	1280	valid
22.0ms	88×	body	640	valid
19.0ms	57×	body	320	valid
14.0ms	50×	body	2560	valid
2.0ms	23×	body	160	valid