Details

sample10.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
0.0ms	2×	body	1280	valid

simplify10.0ms

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 500.0 (- x y))

rewrite14.0ms

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:

12.0ms

(* 500.0 (- x y))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(* 500.0 (- x y))

simplify99.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (93.0ms)

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: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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:

23.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))
17.0ms	(* (sqrt 500.0) (- x y))

series168.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))
67.0ms	(* (sqrt 500.0) (- x y))

simplify54.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (41.0ms)

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

prune115.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

187×	`distribute-rgt-in` `distribute-lft-in`
126×	`prod-diff`
119×	`add-sqr-sqrt`
105×	`*-un-lft-identity`
103×	`add-cube-cbrt`
27×	`pow1`
25×	`associate-l`
22×	`add-exp-log`
20×	`cbrt-prod` `add-cbrt-cube`
14×	`sub-neg`
13×	`associate-r`
12×	`associate-*r/` `pow-prod-down` `sqrt-prod`
11×	`prod-exp` `cbrt-unprod`
7×	`unswap-sqr`
6×	`pow1/3` `swap-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 → 279

Calls

4 calls:

34.0ms	(* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (* (sqrt (cbrt 500.0)) (- x y)))
102.0ms	(* (sqrt 500.0) (* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (* (sqrt (cbrt 500.0)) (- x y))))
16.0ms	(* (sqrt (cbrt 500.0)) (- x y))
6.0ms	(* (cbrt 500.0) (cbrt 500.0))

series438.0ms

Counts

4 → 10

Calls

4 calls:

136.0ms	(* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (* (sqrt (cbrt 500.0)) (- x y)))
191.0ms	(* (sqrt 500.0) (* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (* (sqrt (cbrt 500.0)) (- x y))))
110.0ms	(* (sqrt (cbrt 500.0)) (- x y))
0.0ms	(* (cbrt 500.0) (cbrt 500.0))

simplify313.0ms

Algorithm

egg-herbie

Counts

289 → 289

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	844	4575
1	2907	3577
2	5002	3561

prune346.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
30×	`associate-l`
24×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
20×	`pow1` `associate-r`
19×	`sqrt-prod`
15×	`add-exp-log`
13×	`add-cbrt-cube`
10×	`unswap-sqr`
7×	`pow-prod-down`
6×	`pow1/3` `swap-sqr` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `associate-r/` `-commutative` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `neg-mul-1` `flip3-+` `pow-plus` `distribute-rgt-neg-out` `flip-+`

Counts

4 → 135

Calls

4 calls:

54.0ms	(* (sqrt 500.0) (* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (+ (* (sqrt (cbrt 500.0)) x) (* (sqrt (cbrt 500.0)) (- y)))))
6.0ms	(* (sqrt (cbrt 500.0)) x)
9.0ms	(* (sqrt (cbrt 500.0)) (- y))
6.0ms	(* (cbrt 500.0) (cbrt 500.0))

series435.0ms

Counts

4 → 10

Calls

4 calls:

265.0ms	(* (sqrt 500.0) (* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (+ (* (sqrt (cbrt 500.0)) x) (* (sqrt (cbrt 500.0)) (- y)))))
81.0ms	(* (sqrt (cbrt 500.0)) x)
89.0ms	(* (sqrt (cbrt 500.0)) (- y))
0.0ms	(* (cbrt 500.0) (cbrt 500.0))

simplify74.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	432	1007
1	2137	890
2	5001	870

prune390.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes52.0ms

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

sample251.0ms

Algorithm

intervals

Results

119.0ms	8047×	body	80	valid
0.0ms	7×	body	1280	valid
0.0ms	9×	body	640	valid
0.0ms	2×	body	2560	valid
0.0ms	4×	body	320	valid
0.0ms	3×	body	160	valid