Details

sample42.0ms

Algorithm

intervals

Results

24.0ms

329×

body

valid

simplify76.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	85
5	85
4	78
3	61
2	31
1	12
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`associate-r`
4×	`add-sqr-sqrt` `*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `add-cube-cbrt`
1×	`flip3--` `associate-l` `*-commutative` `insert-posit16` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 27

Calls

1 calls:

26.0ms

(* (* x y) (- 1.0 y))

series61.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(* (* x y) (- 1.0 y))

simplify2.4s

Counts

30 → 30

Iterations

Iter	Nodes
done	5008
3	2875
2	571
1	175
0	61

prune106.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* x y) 1.0) (* (* x y) (- y)))
0.2b	(* (* x y) (- y))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
2×	`insert-posit16`
1×	`+-commutative` `neg-mul-1` `sum-log` `flip3-+` `associate-l` `unsub-neg` `*-commutative` `flip-+` `distribute-lft-out`

Counts

2 → 42

Calls

2 calls:

23.0ms	(+ (* (* x y) 1.0) (* (* x y) (- y)))
26.0ms	(* (* x y) (- y))

series116.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(+ (* (* x y) 1.0) (* (* x y) (- y)))
36.0ms	(* (* x y) (- y))

simplify2.9s

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
3	4472
2	907
1	259
0	83

prune169.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))))
8.7b	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
8.7b	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
8.7b	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
7×	`swap-sqr` `associate-r` `associate-l` `distribute-lft-out`
6×	`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 → 97

Calls

4 calls:

132.0ms	(* (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))))
18.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
25.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
21.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))

series722.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))))
146.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
201.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
203.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))

simplify2.7s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
3	4674
2	1300
1	466
0	182

prune514.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

8.7b	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
8.7b	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
8.7b	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
8.7b	(cbrt (* (* (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

86×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
14×	`associate-*l/`
13×	`cbrt-prod`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`distribute-lft-out`
1×	`pow3` `rem-cbrt-cube`

Counts

4 → 82

Calls

4 calls:

21.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
22.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
16.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
159.0ms	(cbrt (* (* (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))))

series845.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
195.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
217.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
217.0ms	(cbrt (* (* (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))))

simplify2.5s

Counts

94 → 94

Iterations

Iter	Nodes
done	5002
3	3326
2	875
1	377
0	191

prune782.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes154.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	24
3	24
2	18
1	14
0	8

end0.0ms

sample1.2s

Algorithm

intervals

Results

985.0ms

10580×

body

valid