Details

sample19.0ms

Algorithm

intervals

Results

7.0ms	241×	body	80	valid
1.0ms	8×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	2560	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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:

13.0ms

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

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

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

simplify3.7s

Counts

20 → 20

Iterations

Useful iterations: 2 (54.0ms)

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

prune101.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

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:

12.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

301.0ms	(* (cbrt x) (cbrt x))
267.0ms	(cbrt x)
314.0ms	(cbrt x)
242.0ms	(cbrt x)

simplify4.8s

Counts

93 → 93

Iterations

Useful iterations: done (4.8s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune427.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite169.0ms

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:

123.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
18.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
9.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
16.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series328.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
85.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
77.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
81.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify2.4s

Counts

115 → 115

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	164	2756
1	378	2543
2	1004	2384
3	2844	2129
done	5000	2078

prune525.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

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:

1.0ms

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

series136.0ms

Counts

1 → 3

Calls

1 calls:

135.0ms

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

simplify4.0s

Counts

13 → 13

Iterations

Useful iterations: 5 (2.8s)

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

prune37.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes154.0ms

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

sample638.0ms

Algorithm

intervals

Results

342.0ms	7675×	body	80	valid
20.0ms	128×	body	1280	valid
9.0ms	75×	body	640	valid
8.0ms	41×	body	2560	valid
5.0ms	52×	body	320	valid
2.0ms	31×	body	160	valid