Details

sample17.0ms

Algorithm

intervals

Results

6.0ms	240×	body	80	valid
0.0ms	5×	body	1280	valid
0.0ms	3×	body	2560	valid
0.0ms	3×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify155.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite53.0ms

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:

52.0ms

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

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

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

simplify2.8s

Counts

21 → 21

Iterations

Useful iterations: 4 (1.5s)

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

prune93.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite353.0ms

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:

254.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
42.0ms	(cbrt (+ x (/ (- x y) 2.0)))
30.0ms	(cbrt (+ x (/ (- x y) 2.0)))
20.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series2.8s

Counts

4 → 12

Calls

4 calls:

647.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
692.0ms	(cbrt (+ x (/ (- x y) 2.0)))
697.0ms	(cbrt (+ x (/ (- x y) 2.0)))
734.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify1.7s

Counts

115 → 115

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	133	2214
1	270	2042
2	658	1923
3	1607	1716
done	5001	1667

prune395.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
1.0b	(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) (+ 4 1))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
21×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`unpow-prod-down`
6×	`cbrt-div`
5×	`pow1` `add-exp-log` `distribute-lft-out`
4×	`expm1-log1p-u` `pow-unpow` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`pow-pow`
1×	`unpow-prod-up` `pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 77

Calls

4 calls:

19.0ms	(cbrt (+ x (/ (- x y) 2.0)))
22.0ms	(cbrt (+ x (/ (- x y) 2.0)))
35.0ms	(cbrt (+ x (/ (- x y) 2.0)))
60.0ms	(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) (+ 4 1))

series3.3s

Counts

4 → 12

Calls

4 calls:

761.0ms	(cbrt (+ x (/ (- x y) 2.0)))
727.0ms	(cbrt (+ x (/ (- x y) 2.0)))
659.0ms	(cbrt (+ x (/ (- x y) 2.0)))
1.2s	(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) (+ 4 1))

simplify1.5s

Counts

89 → 89

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	154	1506
1	355	1356
2	790	1257
3	1970	1228
done	5000	1180

prune449.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (- x y) 2.0))
2.9b	(fma (/ (- x y) 2.0) (/ (- y x) 2.0) (* x x))
27.5b	(/ (fma (/ (- x y) 2.0) (/ (- y x) 2.0) (* x x)) (- x (/ (- x y) 2.0)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

104×	`add-sqr-sqrt`
89×	`*-un-lft-identity`
68×	`times-frac`
61×	`add-cube-cbrt`
57×	`prod-diff`
19×	`difference-of-squares`
14×	`distribute-lft-out--`
6×	`associate-/r*`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`div-inv`
3×	`pow1` `expm1-log1p-u` `fma-neg` `log1p-expm1-u` `associate-/l*`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `fma-udef` `associate--r-`

Counts

3 → 131

Calls

3 calls:

30.0ms	(- x (/ (- x y) 2.0))
0.0ms	(fma (/ (- x y) 2.0) (/ (- y x) 2.0) (* x x))
79.0ms	(/ (fma (/ (- x y) 2.0) (/ (- y x) 2.0) (* x x)) (- x (/ (- x y) 2.0)))

series334.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- x (/ (- x y) 2.0))
65.0ms	(fma (/ (- x y) 2.0) (/ (- y x) 2.0) (* x x))
210.0ms	(/ (fma (/ (- x y) 2.0) (/ (- y x) 2.0) (* x x)) (- x (/ (- x y) 2.0)))

simplify1.5s

Counts

140 → 140

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	267	4958
1	612	4609
2	1674	3600
done	5001	3205

prune404.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes140.0ms

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

sample762.0ms

Algorithm

intervals

Results

355.0ms	7352×	body	80	valid
55.0ms	229×	body	1280	valid
19.0ms	160×	body	640	valid
17.0ms	96×	body	2560	valid
9.0ms	104×	body	320	valid
4.0ms	62×	body	160	valid