Details

sample11.0ms

Algorithm

intervals

Results

4.0ms	257×	body	80	valid
0.0ms	1×	body	640	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	2
1	15	2
2	23	2
3	31	2
4	33	2
5	33	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 500.0 (- x y))

rewrite9.0ms

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-exp-log` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 46

Calls

1 calls:

7.0ms

(* 500.0 (- x y))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(* 500.0 (- x y))

simplify95.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	190	356
1	746	220
2	3412	190
3	5002	166

prune50.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
49×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
43×	`add-cube-cbrt`
12×	`associate-l`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`sqrt-prod`
6×	`sub-neg` `associate-r/` `associate-r*`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 119

Calls

2 calls:

8.0ms	(* (sqrt 500.0) (- x y))
15.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

series161.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* (sqrt 500.0) (- x y))
97.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	346	1118
1	1516	738
2	5001	663

prune117.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt 500.0) (- x y))
0.4b	(* (sqrt (cbrt 500.0)) (* (sqrt 500.0) (- x y)))
0.4b	(* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (* (sqrt (cbrt 500.0)) (* (sqrt 500.0) (- x y))))
1.0b	(* (cbrt 500.0) (cbrt 500.0))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

187×	`distribute-rgt-in` `distribute-lft-in`
126×	`prod-diff`
117×	`add-sqr-sqrt`
105×	`*-un-lft-identity`
103×	`add-cube-cbrt`
27×	`pow1`
25×	`associate-l`
22×	`add-exp-log`
20×	`add-cbrt-cube`
19×	`cbrt-prod`
14×	`sub-neg`
13×	`associate-r`
12×	`associate-*r/` `pow-prod-down`
11×	`prod-exp` `sqrt-prod` `cbrt-unprod`
6×	`pow1/3` `swap-sqr` `unswap-sqr`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `flip--`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 278

Calls

4 calls:

8.0ms	(* (sqrt 500.0) (- x y))
12.0ms	(* (sqrt (cbrt 500.0)) (* (sqrt 500.0) (- x y)))
21.0ms	(* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (* (sqrt (cbrt 500.0)) (* (sqrt 500.0) (- x y))))
6.0ms	(* (cbrt 500.0) (cbrt 500.0))

series405.0ms

Counts

4 → 10

Calls

4 calls:

58.0ms	(* (sqrt 500.0) (- x y))
167.0ms	(* (sqrt (cbrt 500.0)) (* (sqrt 500.0) (- x y)))
180.0ms	(* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (* (sqrt (cbrt 500.0)) (* (sqrt 500.0) (- x y))))
0.0ms	(* (cbrt 500.0) (cbrt 500.0))

simplify111.0ms

Algorithm

egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	844	4352
1	2976	3372
2	5002	3362

prune342.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (cbrt 500.0) (cbrt 500.0))
1.0b	(cbrt (cbrt 500.0))
1.0b	(cbrt (cbrt 500.0))
1.0b	(cbrt (cbrt 500.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
26×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 90

Calls

4 calls:

5.0ms	(* (cbrt 500.0) (cbrt 500.0))
2.0ms	(cbrt (cbrt 500.0))
2.0ms	(cbrt (cbrt 500.0))
2.0ms	(cbrt (cbrt 500.0))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(* (cbrt 500.0) (cbrt 500.0))
0.0ms	(cbrt (cbrt 500.0))
0.0ms	(cbrt (cbrt 500.0))
0.0ms	(cbrt (cbrt 500.0))

simplify70.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 4 (64.0ms)

Iter	Nodes	Cost
0	95	425
1	298	401
2	991	367
3	2212	364
4	5002	355

prune287.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample255.0ms

Algorithm

intervals

Results

122.0ms	8034×	body	80	valid
1.0ms	17×	body	1280	valid
1.0ms	9×	body	2560	valid
0.0ms	7×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	2×	body	320	valid