Details

sample16.0ms

Algorithm

intervals

Results

6.0ms	241×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	3×	body	2560	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	640	valid

simplify214.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	19	7
3	29	7
4	40	7
5	45	7
6	49	7
7	58	7
8	74	7
9	90	7
10	101	7
11	103	7
12	107	7
13	108	7
done	108	7

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 (/ (- x y) 2.0))

rewrite24.0ms

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

Counts

1 → 18

Calls

1 calls:

23.0ms

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

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

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

simplify2.7s

Counts

21 → 21

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	36	194
1	98	186
2	263	172
3	750	172
4	3556	171
done	5000	171

prune111.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)
25.0ms	(* (cbrt x) (cbrt x))

series1.3s

Counts

4 → 12

Calls

4 calls:

302.0ms	(cbrt x)
290.0ms	(cbrt x)
322.0ms	(cbrt x)
349.0ms	(* (cbrt x) (cbrt x))

simplify5.7s

Counts

93 → 93

Iterations

Useful iterations: done (5.6s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	325	423
3	1112	405
4	4532	400
done	5000	390

prune307.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(* (* (pow (cbrt (cbrt x)) 2) (cbrt (cbrt x))) (cbrt x))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
14×	`add-exp-log`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`prod-exp`
6×	`pow1` `associate-r` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `cbrt-unprod`
1×	`pow-to-exp` `associate-l` `pow-prod-down` `pow-exp` `*-commutative`

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt x)
60.0ms	(* (* (pow (cbrt (cbrt x)) 2) (cbrt (cbrt x))) (cbrt x))
2.0ms	(cbrt (cbrt x))
2.0ms	(cbrt (cbrt x))

series1.3s

Counts

4 → 12

Calls

4 calls:

280.0ms	(cbrt x)
334.0ms	(* (* (pow (cbrt (cbrt x)) 2) (cbrt (cbrt x))) (cbrt x))
344.0ms	(cbrt (cbrt x))
377.0ms	(cbrt (cbrt x))

simplify2.1s

Counts

81 → 81

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	89	689
1	202	520
2	511	381
3	1596	356
done	5000	355

prune445.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma (cbrt (* x x)) (cbrt x) (/ (- x y) 2.0))
0.6b	(cbrt x)
30.6b	(cbrt (* x x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3`
1×	`fma-udef`

Counts

3 → 34

Calls

3 calls:

0.0ms	(fma (cbrt (* x x)) (cbrt x) (/ (- x y) 2.0))
1.0ms	(cbrt x)
4.0ms	(cbrt (* x x))

series743.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(fma (cbrt (* x x)) (cbrt x) (/ (- x y) 2.0))
325.0ms	(cbrt x)
308.0ms	(cbrt (* x x))

simplify1.4s

Counts

43 → 43

Iterations

Useful iterations: 3 (139.0ms)

Iter	Nodes	Cost
0	67	337
1	116	328
2	216	293
3	488	287
4	1733	287
done	5002	287

prune168.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes107.0ms

Accuracy

0% (0.1b 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	6	7
1	7	7
done	7	7

end0.0ms

sample755.0ms

Algorithm

intervals

Results

370.0ms	7390×	body	80	valid
87.0ms	219×	body	1280	valid
22.0ms	91×	body	2560	valid
21.0ms	150×	body	640	valid
11.0ms	98×	body	320	valid
4.0ms	52×	body	160	valid