Details

sample12.0ms

Algorithm

intervals

Results

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

simplify16.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	32
5	32
4	30
3	23
2	15
1	8
0	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 500.0 (- x y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 46

Calls

1 calls:

18.0ms

(* 500.0 (- x y))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(* 500.0 (- x y))

simplify3.9s

Counts

49 → 49

Iterations

Iter	Nodes
done	5008
4	3821
3	1183
2	432
1	222
0	102

prune150.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-rgt-neg-out`
1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `+-commutative` `sum-log` `fma-def` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `unsub-neg` `add-exp-log` `add-cube-cbrt` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

11.0ms

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

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

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

simplify2.9s

Counts

20 → 20

Iterations

Iter	Nodes
done	5000
3	1699
2	446
1	113
0	33

prune79.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize41.0ms

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)))

rewrite45.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `log1p-expm1-u` `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 → 80

Calls

4 calls:

24.0ms	(* (cbrt (* 500.0 (- x y))) (cbrt (* 500.0 (- x y))))
6.0ms	(cbrt (* 500.0 (- x y)))
6.0ms	(cbrt (* 500.0 (- x y)))
5.0ms	(cbrt (* 500.0 (- x y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

319.0ms	(* (cbrt (* 500.0 (- x y))) (cbrt (* 500.0 (- x y))))
283.0ms	(cbrt (* 500.0 (- x y)))
281.0ms	(cbrt (* 500.0 (- x y)))
295.0ms	(cbrt (* 500.0 (- x y)))

simplify2.0s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
3	2532
2	804
1	318
0	131

prune560.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (* 500.0 (- x y)))
0.0b	(* 500.0 (- x y))
2.0b	(expm1 (log1p (* 500.0 (- x y))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`prod-diff`
17×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log`
4×	`expm1-log1p-u`
3×	`associate-l` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `associate-*r/`
1×	`log1p-udef` `expm1-log1p` `flip3--` `pow-prod-down` `prod-exp` `log1p-expm1` `*-commutative` `cbrt-unprod` `flip--` `distribute-lft-out--` `expm1-udef` `difference-of-squares` `unswap-sqr`

Counts

3 → 68

Calls

3 calls:

0.0ms	(log1p (* 500.0 (- x y)))
21.0ms	(* 500.0 (- x y))
0.0ms	(expm1 (log1p (* 500.0 (- x y))))

series1.0s

Counts

3 → 9

Calls

3 calls:

111.0ms	(log1p (* 500.0 (- x y)))
59.0ms	(* 500.0 (- x y))
861.0ms	(expm1 (log1p (* 500.0 (- x y))))

simplify2.2s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
3	2936
2	946
1	391
0	169

prune229.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes260.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

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

end0.0ms

sample386.0ms

Algorithm

intervals

Results

202.0ms	8035×	body	80	valid
1.0ms	16×	body	1280	valid
1.0ms	7×	body	2560	valid
1.0ms	8×	body	640	valid
0.0ms	8×	body	320	valid
0.0ms	3×	body	160	valid