Details

sample13.0ms

Algorithm

intervals

Results

4.0ms	254×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid

simplify26.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
4	26
3	21
2	15
1	8
0	5

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 500.0 (- x y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

33.0ms

(* 500.0 (- x y))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(* 500.0 (- x y))

simplify2.5s

Counts

29 → 29

Iterations

Iter	Nodes
done	5003
3	1093
2	317
1	121
0	52

prune86.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x 500.0) (* (- y) 500.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-lft-neg-out`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `*-un-lft-identity` `flip3-+` `distribute-rgt-out` `add-cbrt-cube` `unsub-neg` `add-exp-log` `add-cube-cbrt` `flip-+`

Counts

1 → 14

Calls

1 calls:

11.0ms

(+ (* x 500.0) (* (- y) 500.0))

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

(+ (* x 500.0) (* (- y) 500.0))

simplify1.6s

Counts

17 → 17

Iterations

Iter	Nodes
done	5001
3	1500
2	411
1	108
0	32

prune67.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* 500.0 (- x y))) (cbrt (* 500.0 (- x y))))
0.5b	(cbrt (* 500.0 (- x y)))
0.5b	(cbrt (* 500.0 (- x y)))
0.5b	(cbrt (* 500.0 (- x y)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

33.0ms	(* (cbrt (* 500.0 (- x y))) (cbrt (* 500.0 (- x y))))
12.0ms	(cbrt (* 500.0 (- x y)))
11.0ms	(cbrt (* 500.0 (- x y)))
15.0ms	(cbrt (* 500.0 (- x y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

350.0ms	(* (cbrt (* 500.0 (- x y))) (cbrt (* 500.0 (- x y))))
312.0ms	(cbrt (* 500.0 (- x y)))
348.0ms	(cbrt (* 500.0 (- x y)))
322.0ms	(cbrt (* 500.0 (- x y)))

simplify1.9s

Counts

84 → 84

Iterations

Iter	Nodes
done	5018
3	2400
2	778
1	306
0	127

prune442.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* 500.0 (- x y)))
0.6b	(cbrt (* (cbrt (* 500.0 (- x y))) (cbrt (* 500.0 (- x y)))))
0.6b	(cbrt (* (cbrt (* 500.0 (- x y))) (cbrt (* 500.0 (- x y)))))
0.6b	(cbrt (* (cbrt (* 500.0 (- x y))) (cbrt (* 500.0 (- x y)))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

62×	`cbrt-div`
44×	`associate-*r/`
19×	`flip3--` `flip--`
12×	`frac-times`
6×	`associate-*l/`
4×	`cbrt-prod` `add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-cube-cbrt` `add-log-exp`

Counts

4 → 62

Calls

4 calls:

5.0ms	(cbrt (* 500.0 (- x y)))
12.0ms	(cbrt (* (cbrt (* 500.0 (- x y))) (cbrt (* 500.0 (- x y)))))
21.0ms	(cbrt (* (cbrt (* 500.0 (- x y))) (cbrt (* 500.0 (- x y)))))
15.0ms	(cbrt (* (cbrt (* 500.0 (- x y))) (cbrt (* 500.0 (- x y)))))

series2.4s

Counts

4 → 12

Calls

4 calls:

228.0ms	(cbrt (* 500.0 (- x y)))
760.0ms	(cbrt (* (cbrt (* 500.0 (- x y))) (cbrt (* 500.0 (- x y)))))
659.0ms	(cbrt (* (cbrt (* 500.0 (- x y))) (cbrt (* 500.0 (- x y)))))
795.0ms	(cbrt (* (cbrt (* 500.0 (- x y))) (cbrt (* 500.0 (- x y)))))

simplify1.7s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
3	2197
2	665
1	262
0	128

prune504.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes243.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	17
3	17
2	16
1	12
0	7

end0.0ms

sample466.0ms

Algorithm

intervals

Results

218.0ms	8035×	body	80	valid
2.0ms	16×	body	1280	valid
1.0ms	7×	body	2560	valid
1.0ms	8×	body	640	valid
1.0ms	8×	body	320	valid
0.0ms	3×	body	160	valid