Details

sample31.0ms

Algorithm

intervals

Results

12.0ms	245×	body	80	valid
1.0ms	3×	body	2560	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	10	8
2	11	8
done	11	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

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:

20.0ms

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

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify1.8s

Counts

20 → 20

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	33	213
1	89	204
2	232	185
3	630	185
4	1852	185
done	5001	185

prune106.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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)

rewrite21.0ms

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:

11.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
6.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

300.0ms	(* (cbrt x) (cbrt x))
289.0ms	(cbrt x)
281.0ms	(cbrt x)
226.0ms	(cbrt x)

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	65	554
1	143	443
2	719	423
done	5000	409

prune557.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

2.0ms	(cbrt x)
3.0ms	(cbrt (cbrt x))
3.0ms	(cbrt (cbrt x))
3.0ms	(cbrt (cbrt x))

series1.7s

Counts

4 → 12

Calls

4 calls:

290.0ms	(cbrt x)
484.0ms	(cbrt (cbrt x))
454.0ms	(cbrt (cbrt x))
439.0ms	(cbrt (cbrt x))

simplify2.1s

Counts

73 → 73

Iterations

Useful iterations: 3 (137.0ms)

Iter	Nodes	Cost
0	46	419
1	82	400
2	193	370
3	658	358
4	2659	358
done	5000	358

prune525.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

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)))

rewrite170.0ms

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:

111.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
19.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
17.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
17.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series362.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
108.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
96.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
81.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify1.0s

Counts

115 → 115

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	164	2756
1	405	2543
2	1543	2411
done	5001	2185

prune660.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes211.0ms

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

sample742.0ms

Algorithm

intervals

Results

345.0ms	7665×	body	80	valid
57.0ms	127×	body	1280	valid
11.0ms	81×	body	640	valid
9.0ms	49×	body	2560	valid
5.0ms	48×	body	320	valid
2.0ms	30×	body	160	valid