Details

sample26.0ms

Algorithm

intervals

Results

9.0ms	255×	body	80	valid
0.0ms	1×	body	320	valid

simplify30.0ms

Counts

1 → 1

Iterations

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

prune10.0ms

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	(* (- x y) 500.0)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-l*`
3×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt`
2×	`associate-*l/`
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 → 24

Calls

1 calls:

18.0ms

(* (- x y) 500.0)

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(* (- x y) 500.0)

simplify4.0s

Counts

27 → 27

Iterations

Iter	Nodes
done	5000
3	4747
2	438
1	114
0	50

prune124.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (- x y) (sqrt 500.0))
0.4b	(* (* (- x y) (sqrt 500.0)) (sqrt 500.0))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
9×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt` `sqrt-prod`
6×	`associate-l` `associate-*l/`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `log1p-expm1-u` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 53

Calls

2 calls:

35.0ms	(* (- x y) (sqrt 500.0))
73.0ms	(* (* (- x y) (sqrt 500.0)) (sqrt 500.0))

series223.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(* (- x y) (sqrt 500.0))
128.0ms	(* (* (- x y) (sqrt 500.0)) (sqrt 500.0))

simplify703.0ms

Counts

59 → 59

Iterations

Iter	Nodes
done	5001
2	1015
1	206
0	83

prune232.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* (fabs (cbrt 500.0)) (sqrt 500.0)) (- x y))
0.4b	(* (* (* (fabs (cbrt 500.0)) (sqrt 500.0)) (- x y)) (sqrt (cbrt 500.0)))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 77

Calls

2 calls:

44.0ms	(* (* (fabs (cbrt 500.0)) (sqrt 500.0)) (- x y))
121.0ms	(* (* (* (fabs (cbrt 500.0)) (sqrt 500.0)) (- x y)) (sqrt (cbrt 500.0)))

series499.0ms

Counts

2 → 6

Calls

2 calls:

179.0ms	(* (* (fabs (cbrt 500.0)) (sqrt 500.0)) (- x y))
320.0ms	(* (* (* (fabs (cbrt 500.0)) (sqrt 500.0)) (- x y)) (sqrt (cbrt 500.0)))

simplify3.2s

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
2	3096
1	461
0	161

prune325.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (* (fabs (cbrt 500.0)) (sqrt 500.0)) (* (sqrt (cbrt 500.0)) (- x y)))
0.4b	(* (sqrt (cbrt 500.0)) (- x y))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
50×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
42×	`add-cube-cbrt`
16×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`associate-l`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`sqrt-prod`
6×	`sub-neg` `associate-r` `associate-*r/`
4×	`cbrt-prod`
3×	`unswap-sqr`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `log1p-expm1-u` `flip--` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 124

Calls

2 calls:

77.0ms	(* (* (fabs (cbrt 500.0)) (sqrt 500.0)) (* (sqrt (cbrt 500.0)) (- x y)))
35.0ms	(* (sqrt (cbrt 500.0)) (- x y))

series848.0ms

Counts

2 → 6

Calls

2 calls:

348.0ms	(* (* (fabs (cbrt 500.0)) (sqrt 500.0)) (* (sqrt (cbrt 500.0)) (- x y)))
500.0ms	(* (sqrt (cbrt 500.0)) (- x y))

simplify2.1s

Counts

130 → 130

Iterations

Iter	Nodes
done	5001
2	3433
1	660
0	209

prune298.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes139.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample484.0ms

Algorithm

intervals

Results

223.0ms	8033×	body	80	valid
1.0ms	10×	body	640	valid
1.0ms	6×	body	1280	valid
1.0ms	4×	body	2560	valid
0.0ms	4×	body	320	valid
0.0ms	3×	body	160	valid