Details

Time bar (total: 2.6s)

analyze418.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
12.5%71.8%15.7%8
25%56.2%18.9%9
31.2%43.7%25.1%10
39%34.7%26.3%11
44.9%27.9%27.3%12
47.8%22%30.2%13
52.6%16.8%30.7%14

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms24×body80invalid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1324
2574
3634
4634

prune3.0ms

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
(- (* x x) (* (* y 4.0) z))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
3.0ms
(- (* x x) (* (* y 4.0) z))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(- (* x x) (* (* y 4.0) z))

simplify59.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
099103
140093
2185693
3500293

prune25.0ms

Filtered
10 candidates to 15 candidates (-50.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13215
Fresh000
Picked011
Done000
Total13316

Merged error: 0.0b

Counts
16 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
2.2b
(cbrt (- (* x x) (* (* y 4.0) z)))
2.2b
(cbrt (- (* x x) (* (* y 4.0) z)))
2.2b
(cbrt (- (* x x) (* (* y 4.0) z)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
10.0ms
(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
3.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
3.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
3.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))

series99.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
24.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
25.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
23.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
02901261
110591182
250011095

prune201.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh011
Picked011
Done011
Total984102

Merged error: 0.0b

Counts
102 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

2.2b
(cbrt (- (* x x) (* (* y 4.0) z)))
2.2b
(cbrt (- (* x x) (* (* y 4.0) z)))
2.2b
(cbrt (- (* x x) (* (* y 4.0) z)))
2.2b
(cbrt (- (* x x) (* (* y 4.0) z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
Counts
4 → 52
Calls
4 calls:
3.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
3.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
3.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
3.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))

series96.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
26.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
23.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))
24.0ms
(cbrt (- (* x x) (* (* y 4.0) z)))

simplify74.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0171672
1560628
22238604
35001572

prune209.0ms

Filtered
56 candidates to 64 candidates (-14.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh011
Picked011
Done022
Total64468

Merged error: 0.0b

Counts
68 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) z))
0.2b
(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
1.7b
(sqrt (- (* x x) (* (* y 4.0) z)))
1.7b
(sqrt (- (* x x) (* (* y 4.0) z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-- flip--
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×pow2 sub-neg pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 99
Calls
4 calls:
3.0ms
(- (* x x) (* (* y 4.0) z))
10.0ms
(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
3.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))
3.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))

series47.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (* x x) (* (* y 4.0) z))
9.0ms
(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
14.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))
16.0ms
(sqrt (- (* x x) (* (* y 4.0) z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0220922
1928840
25001814

prune124.0ms

Filtered
64 candidates to 111 candidates (-73.4%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1110111
Fresh000
Picked011
Done033
Total1114115

Merged error: 0.0b

Counts
115 → 4

regimes355.0ms

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
0104
1104

end0.0ms

analyze261.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
12.5%71.8%15.7%8
25%56.2%18.9%9
31.2%43.7%25.1%10
39%34.7%26.3%11
44.9%27.9%27.3%12
47.8%22%30.2%13
52.6%16.8%30.7%14

sample422.0ms

Algorithm
intervals
Results
241.0ms8000×body80valid
13.0ms471×body80invalid

Profiling

Loading profile data...