Details

sample27.0ms

Algorithm

intervals

Results

16.0ms

296×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
12	1549
11	1249
10	839
9	609
8	379
7	210
6	100
5	52
4	33
3	25
2	19
1	10
0	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x y) x) y)
0.0b	(+ (* x y) x)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log` `*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

37.0ms	(+ (+ (* x y) x) y)
7.0ms	(+ (* x y) x)

series56.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (+ (* x y) x) y)
35.0ms	(+ (* x y) x)

simplify880.0ms

Counts

33 → 33

Iterations

Iter	Nodes
done	2002
3	1839
2	524
1	146
0	51

prune119.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
0.6b	(cbrt (+ (* x y) x))
0.6b	(cbrt (+ (* x y) x))
0.6b	(cbrt (+ (* x y) x))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 91

Calls

4 calls:

65.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
7.0ms	(cbrt (+ (* x y) x))
8.0ms	(cbrt (+ (* x y) x))
8.0ms	(cbrt (+ (* x y) x))

series376.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
88.0ms	(cbrt (+ (* x y) x))
107.0ms	(cbrt (+ (* x y) x))
87.0ms	(cbrt (+ (* x y) x))

simplify602.0ms

Counts

103 → 103

Iterations

Iter	Nodes
done	2001
2	953
1	371
0	145

prune467.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x y) x))
13.8b	(/ (* (cbrt (* (+ x (* x y)) (- (* x y) x))) (cbrt (* (+ x (* x y)) (- (* x y) x)))) (* (cbrt (- (* x y) x)) (cbrt (- (* x y) x))))
31.4b	(cbrt (* (+ x (* x y)) (- (* x y) x)))
31.4b	(cbrt (* (+ x (* x y)) (- (* x y) x)))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

174×	`cbrt-div`
148×	`frac-times`
80×	`associate-/l/`
66×	`flip3--` `flip--`
61×	`flip3-+` `flip-+`
50×	`associate-l/` `associate-r/`
16×	`add-exp-log`
8×	`add-cbrt-cube` `associate-/r/`
5×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow1/3`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `div-inv` `associate-/l`

Counts

4 → 160

Calls

4 calls:

5.0ms	(cbrt (+ (* x y) x))
121.0ms	(/ (* (cbrt (* (+ x (* x y)) (- (* x y) x))) (cbrt (* (+ x (* x y)) (- (* x y) x)))) (* (cbrt (- (* x y) x)) (cbrt (- (* x y) x))))
28.0ms	(cbrt (* (+ x (* x y)) (- (* x y) x)))
35.0ms	(cbrt (* (+ x (* x y)) (- (* x y) x)))

series686.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(cbrt (+ (* x y) x))
115.0ms	(/ (* (cbrt (* (+ x (* x y)) (- (* x y) x))) (cbrt (* (+ x (* x y)) (- (* x y) x)))) (* (cbrt (- (* x y) x)) (cbrt (- (* x y) x))))
253.0ms	(cbrt (* (+ x (* x y)) (- (* x y) x)))
246.0ms	(cbrt (* (+ x (* x y)) (- (* x y) x)))

simplify989.0ms

Counts

172 → 172

Iterations

Iter	Nodes
done	2002
1	989
0	353

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt (cbrt (+ (* x y) x))) (cbrt (sqrt (+ (* x y) x)))) (* (sqrt (cbrt (+ (* x y) x))) (cbrt (sqrt (+ (* x y) x)))))
0.6b	(cbrt (+ (* x y) x))
0.6b	(cbrt (+ (* x y) x))
0.6b	(cbrt (+ (* x y) x))

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

222×	`cbrt-div`
216×	`sqrt-div`
136×	`frac-times`
111×	`flip3-+` `flip-+`
44×	`associate-l/` `associate-r/`
43×	`pow1`
17×	`pow-prod-down`
16×	`add-exp-log`
12×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow-sqr` `pow-prod-up` `insert-posit16` `add-log-exp`
3×	`pow1/3`
2×	`pow-plus`
1×	`pow2` `swap-sqr` `associate-r` `associate-l` `*-commutative`

Counts

4 → 157

Calls

4 calls:

224.0ms	(* (* (sqrt (cbrt (+ (* x y) x))) (cbrt (sqrt (+ (* x y) x)))) (* (sqrt (cbrt (+ (* x y) x))) (cbrt (sqrt (+ (* x y) x)))))
5.0ms	(cbrt (+ (* x y) x))
5.0ms	(cbrt (+ (* x y) x))
5.0ms	(cbrt (+ (* x y) x))

series387.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* (* (sqrt (cbrt (+ (* x y) x))) (cbrt (sqrt (+ (* x y) x)))) (* (sqrt (cbrt (+ (* x y) x))) (cbrt (sqrt (+ (* x y) x)))))
89.0ms	(cbrt (+ (* x y) x))
80.0ms	(cbrt (+ (* x y) x))
110.0ms	(cbrt (+ (* x y) x))

simplify1.2s

Counts

169 → 169

Iterations

Iter	Nodes
done	2003
2	1790
1	844
0	299

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	5

end0.0ms

sample599.0ms

Algorithm

intervals

Results

432.0ms	9132×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid