Details

sample25.0ms

Algorithm

intervals

Results

9.0ms	235×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	5×	body	640	valid
1.0ms	3×	body	2560	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify5.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	123
1	12	123
2	19	123
3	29	123
4	40	123
5	93	123
6	204	123
7	477	123
8	1259	123
9	4327	123
done	5000	123

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

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` `associate-+r-` `sum-log` `flip3-+` `add-cbrt-cube` `div-sub` `add-exp-log` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 18

Calls

1 calls:

21.0ms

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

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

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

simplify2.9s

Counts

21 → 21

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	36	3760
1	98	3364
2	269	3339
3	869	3339
4	4313	3339
done	5000	3339

prune152.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

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))

rewrite21.0ms

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` `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)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
15.0ms	(* (cbrt x) (cbrt x))

series1.1s

Counts

4 → 12

Calls

4 calls:

274.0ms	(cbrt x)
269.0ms	(cbrt x)
298.0ms	(cbrt x)
294.0ms	(* (cbrt x) (cbrt x))

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	65	18502
1	142	15989
2	711	15714
done	5000	15034

prune558.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

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))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))

series1.4s

Counts

4 → 12

Calls

4 calls:

252.0ms	(cbrt x)
339.0ms	(cbrt (cbrt x))
378.0ms	(cbrt (cbrt x))
401.0ms	(cbrt (cbrt x))

simplify1.7s

Counts

73 → 73

Iterations

Useful iterations: 3 (138.0ms)

Iter	Nodes	Cost
0	46	19703
1	81	18248
2	193	18209
3	656	17569
4	2403	17569
done	5000	17569

prune433.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))
4.0ms	(cbrt (* (cbrt x) (cbrt x)))
2.0ms	(cbrt (cbrt (* (cbrt x) (cbrt x))))

series1.7s

Counts

4 → 12

Calls

4 calls:

420.0ms	(cbrt (cbrt x))
425.0ms	(cbrt (cbrt x))
394.0ms	(cbrt (* (cbrt x) (cbrt x)))
446.0ms	(cbrt (cbrt (* (cbrt x) (cbrt x))))

simplify2.0s

Counts

69 → 69

Iterations

Useful iterations: 3 (290.0ms)

Iter	Nodes	Cost
0	72	22228
1	127	20593
2	308	20593
3	969	19953
4	3560	19953
done	5001	19953

prune571.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes213.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	123
1	7	123
done	7	123

end0.0ms

sample598.0ms

Algorithm

intervals

Results

332.0ms	7373×	body	80	valid
32.0ms	230×	body	1280	valid
19.0ms	162×	body	640	valid
16.0ms	94×	body	2560	valid
8.0ms	88×	body	320	valid
3.0ms	54×	body	160	valid