Details

Time bar (total: 4.4s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
072
1102
2102

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ y 200.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
39×prod-diff
38×*-un-lft-identity
36×add-cube-cbrt
28×times-frac
3×fma-neg div-inv add-log-exp
2×difference-of-squares
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out--
Counts
1 → 59
Calls
1 calls:
8.0ms
(- x (/ y 200.0))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(- x (/ y 200.0))

simplify159.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0367971
11124634
24964514
35001514

prune53.0ms

Filtered
62 candidates to 24 candidates (38.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New60262
Fresh000
Picked011
Done000
Total60363

Merged error: 0.0b

Counts
63 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×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 → 81
Calls
4 calls:
6.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series722.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(* (cbrt x) (cbrt x))
169.0ms
(cbrt x)
174.0ms
(cbrt x)
185.0ms
(cbrt x)

simplify97.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune248.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh011
Picked011
Done011
Total93396

Merged error: 0.0b

Counts
96 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (sqrt x) (sqrt (/ y 200.0)))
0.1b
(sqrt (/ y 200.0))
0.1b
(sqrt (/ y 200.0))
0.1b
(* (+ (sqrt x) (sqrt (/ y 200.0))) (- (sqrt x) (sqrt (/ y 200.0))))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
294×sqrt-prod
204×add-sqr-sqrt
194×*-un-lft-identity
192×prod-diff
182×add-cube-cbrt
130×times-frac
98×distribute-rgt-in distribute-lft-in
14×div-inv
11×associate-*r*
8×pow1
6×add-exp-log fma-def add-cbrt-cube add-log-exp difference-of-squares
5×associate-*l*
4×expm1-log1p-u frac-times rem-sqrt-square flip3-+ flip-+ log1p-expm1-u distribute-lft-out
3×flip3-- flip--
2×sub-neg sqrt-pow1 pow1/2 sqrt-div associate-*r/ associate-*l/ distribute-lft-out--
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 309
Calls
4 calls:
10.0ms
(+ (sqrt x) (sqrt (/ y 200.0)))
3.0ms
(sqrt (/ y 200.0))
3.0ms
(sqrt (/ y 200.0))
35.0ms
(* (+ (sqrt x) (sqrt (/ y 200.0))) (- (sqrt x) (sqrt (/ y 200.0))))

series426.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(+ (sqrt x) (sqrt (/ y 200.0)))
48.0ms
(sqrt (/ y 200.0))
54.0ms
(sqrt (/ y 200.0))
248.0ms
(* (+ (sqrt x) (sqrt (/ y 200.0))) (- (sqrt x) (sqrt (/ y 200.0))))

simplify97.0ms

Algorithm
egg-herbie
Counts
321 → 321
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
015148546
150017015

prune540.0ms

Filtered
321 candidates to 157 candidates (48.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New3201321
Fresh000
Picked101
Done022
Total3213324

Merged error: 0.0b

Counts
324 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (/ y 200.0))
0.1b
(sqrt (/ y 200.0))
0.1b
(* (expm1 (log1p (+ (sqrt x) (sqrt (/ y 200.0))))) (- (sqrt x) (sqrt (/ y 200.0))))
0.8b
(expm1 (log1p (+ (sqrt x) (sqrt (/ y 200.0)))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
287×sqrt-prod
202×add-sqr-sqrt
192×prod-diff
184×*-un-lft-identity
180×add-cube-cbrt
130×times-frac
98×distribute-rgt-in distribute-lft-in
14×div-inv
11×associate-*r*
8×pow1
6×add-exp-log add-cbrt-cube difference-of-squares
4×expm1-log1p-u rem-sqrt-square log1p-expm1-u add-log-exp
3×associate-*l*
2×sub-neg sqrt-pow1 pow1/2 sqrt-div associate-*r/ distribute-lft-out--
1×expm1-log1p flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod expm1-udef unswap-sqr
Counts
4 → 291
Calls
4 calls:
3.0ms
(sqrt (/ y 200.0))
7.0ms
(sqrt (/ y 200.0))
21.0ms
(* (expm1 (log1p (+ (sqrt x) (sqrt (/ y 200.0))))) (- (sqrt x) (sqrt (/ y 200.0))))
1.0ms
(expm1 (log1p (+ (sqrt x) (sqrt (/ y 200.0)))))

series779.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(sqrt (/ y 200.0))
47.0ms
(sqrt (/ y 200.0))
558.0ms
(* (expm1 (log1p (+ (sqrt x) (sqrt (/ y 200.0))))) (- (sqrt x) (sqrt (/ y 200.0))))
120.0ms
(expm1 (log1p (+ (sqrt x) (sqrt (/ y 200.0)))))

simplify149.0ms

Algorithm
egg-herbie
Counts
303 → 303
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
09309228
138367109
250017054

prune515.0ms

Filtered
303 candidates to 141 candidates (46.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3030303
Fresh000
Picked011
Done022
Total3033306

Merged error: 0.0b

Counts
306 → 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
052

end0.0ms

sample275.0ms

Algorithm
intervals
Results
150.0ms8000×body80valid