Details

Time bar (total: 2.4s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
082
1152
2232
3312
4332
5332

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 500.0 (- x y))

rewrite15.0ms

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))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(* 500.0 (- x y))

simplify93.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0190356
1746220
23412190
35002166

prune37.0ms

Filtered
49 candidates to 20 candidates (40.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New47249
Fresh000
Picked011
Done000
Total47350

Merged error: 0.0b

Counts
50 → 3

localize9.0ms

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)))

rewrite24.0ms

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))
11.0ms
(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

series165.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(* (sqrt 500.0) (- x y))
98.0ms
(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

simplify57.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
03461118
11516738
25001663

prune91.0ms

Filtered
125 candidates to 44 candidates (35.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1250125
Fresh011
Picked011
Done011
Total1253128

Merged error: 0.0b

Counts
128 → 3

localize5.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- x y))
0.0b
(sqrt (- x y))
0.1b
(* 500.0 (sqrt (- x y)))
0.2b
(* (* 500.0 (sqrt (- x y))) (sqrt (- x y)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
21×sqrt-prod
19×*-un-lft-identity
18×sqrt-div
16×associate-*r*
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
9×flip3-- flip--
4×expm1-log1p-u frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 99
Calls
4 calls:
4.0ms
(sqrt (- x y))
4.0ms
(sqrt (- x y))
11.0ms
(* 500.0 (sqrt (- x y)))
11.0ms
(* (* 500.0 (sqrt (- x y))) (sqrt (- x y)))

series230.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(sqrt (- x y))
64.0ms
(sqrt (- x y))
78.0ms
(* 500.0 (sqrt (- x y)))
28.0ms
(* (* 500.0 (sqrt (- x y))) (sqrt (- x y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0298631
11182554
25002530

prune343.0ms

Filtered
111 candidates to 75 candidates (67.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1101111
Fresh000
Picked101
Done022
Total1113114

Merged error: 0b

Counts
114 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (- x y)))
0.1b
(* 500.0 (sqrt (- x y)))
0.1b
(* (* 500.0 (sqrt (- x y))) (sqrt (sqrt (- x y))))
0.2b
(* (* (* 500.0 (sqrt (- x y))) (sqrt (sqrt (- x y)))) (sqrt (sqrt (- x y))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
114×sqrt-div
46×sqrt-prod
36×associate-*r/
35×flip3-- flip--
32×frac-times
30×associate-*r*
29×add-sqr-sqrt
23×*-un-lft-identity
22×pow1
20×add-exp-log add-cbrt-cube
16×associate-*l/
15×add-cube-cbrt
10×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×expm1-log1p-u sqrt-pow1 log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
3×*-commutative
2×rem-sqrt-square pow1/2 unswap-sqr
Counts
4 → 146
Calls
4 calls:
4.0ms
(sqrt (sqrt (- x y)))
7.0ms
(* 500.0 (sqrt (- x y)))
13.0ms
(* (* 500.0 (sqrt (- x y))) (sqrt (sqrt (- x y))))
22.0ms
(* (* (* 500.0 (sqrt (- x y))) (sqrt (sqrt (- x y)))) (sqrt (sqrt (- x y))))

series417.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(sqrt (sqrt (- x y)))
75.0ms
(* 500.0 (sqrt (- x y)))
175.0ms
(* (* 500.0 (sqrt (- x y))) (sqrt (sqrt (- x y))))
28.0ms
(* (* (* 500.0 (sqrt (- x y))) (sqrt (sqrt (- x y)))) (sqrt (sqrt (- x y))))

simplify74.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06751635
128901410
250011338

prune329.0ms

Filtered
158 candidates to 103 candidates (65.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1580158
Fresh000
Picked011
Done022
Total1583161

Merged error: 0b

Counts
161 → 3

regimes61.0ms

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)

IterNodesCost
062
162

end0.0ms

sample238.0ms

Algorithm
intervals
Results
118.0ms8046×body80valid
1.0ms9×body1280valid
0.0ms7×body2560valid
0.0ms7×body640valid
0.0ms6×body320valid
0.0ms2×body160valid