Details

sample13.0ms

Algorithm

intervals

Results

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

simplify14.0ms

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))

rewrite24.0ms

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:

22.0ms

(* 500.0 (- x y))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(* 500.0 (- x y))

simplify823.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
2	836
1	235
0	102

prune143.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

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

Counts

1 → 17

Calls

1 calls:

11.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify3.4s

Counts

20 → 20

Iterations

Iter	Nodes
done	5001
3	2699
2	490
1	116
0	34

prune93.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 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)))

rewrite56.0ms

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:

32.0ms	(* (cbrt (* 500.0 (- x y))) (cbrt (* 500.0 (- x y))))
9.0ms	(cbrt (* 500.0 (- x y)))
6.0ms	(cbrt (* 500.0 (- x y)))
6.0ms	(cbrt (* 500.0 (- x y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

331.0ms	(* (cbrt (* 500.0 (- x y))) (cbrt (* 500.0 (- x y))))
287.0ms	(cbrt (* 500.0 (- x y)))
265.0ms	(cbrt (* 500.0 (- x y)))
359.0ms	(cbrt (* 500.0 (- x y)))

simplify1.4s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1252
1	321
0	131

prune596.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize20.0ms

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))))

rewrite23.0ms

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)))
20.0ms	(* 500.0 (- x y))
0.0ms	(expm1 (log1p (* 500.0 (- x y))))

series951.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(log1p (* 500.0 (- x y)))
32.0ms	(* 500.0 (- x y))
825.0ms	(expm1 (log1p (* 500.0 (- x y))))

simplify1.1s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	1420
1	398
0	169

prune237.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes314.0ms

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

sample337.0ms

Algorithm

intervals

Results

143.0ms	8035×	body	80	valid
1.0ms	16×	body	1280	valid
1.0ms	7×	body	2560	valid
0.0ms	8×	body	640	valid
0.0ms	8×	body	320	valid
0.0ms	3×	body	160	valid