Details

Time bar (total: 2.5s)

analyze557.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
12.5%87.3%0.2%10
15.6%80.3%4.1%11
31.2%63.9%4.9%12
39%50.9%10.1%13
44.8%44.4%10.7%14

sample20.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms49×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0107
1107

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 y) (* z t))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
4.0ms
(+ (* x y) (* z t))

series13.0ms

Counts
1 → 3
Calls
1 calls:
13.0ms
(+ (* x y) (* z t))

simplify72.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
04873141
14873141

prune23.0ms

Filtered
11 candidates to 14 candidates (-27.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New12214
Fresh000
Picked011
Done000
Total12315

Merged error: 0.0b

Counts
15 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.1b
(cbrt (+ (* x y) (* z t)))
1.1b
(cbrt (+ (* x y) (* z t)))
1.1b
(cbrt (+ (* x y) (* z t)))

rewrite23.0ms

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 y) (* z t))) (cbrt (+ (* x y) (* z t))))
3.0ms
(cbrt (+ (* x y) (* z t)))
3.0ms
(cbrt (+ (* x y) (* z t)))
3.0ms
(cbrt (+ (* x y) (* z t)))

series151.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
34.0ms
(cbrt (+ (* x y) (* z t)))
34.0ms
(cbrt (+ (* x y) (* z t)))
36.0ms
(cbrt (+ (* x y) (* z t)))

simplify49.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
049171443
149171443

prune108.0ms

Filtered
74 candidates to 99 candidates (-33.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh011
Picked011
Done011
Total993102

Merged error: 0.0b

Counts
102 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.2b
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
0.6b
(sqrt (+ (* x y) (* z t)))
0.6b
(sqrt (+ (* x y) (* z t)))

rewrite25.0ms

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×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
4.0ms
(+ (* x y) (* z t))
11.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
3.0ms
(sqrt (+ (* x y) (* z t)))
4.0ms
(sqrt (+ (* x y) (* z t)))

series60.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(+ (* x y) (* z t))
9.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
19.0ms
(sqrt (+ (* x y) (* z t)))
22.0ms
(sqrt (+ (* x y) (* z t)))

simplify35.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
055171320

prune84.0ms

Filtered
67 candidates to 110 candidates (-64.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1091110
Fresh000
Picked011
Done022
Total1094113

Merged error: 0.0b

Counts
113 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (pow (sqrt (sqrt (+ (* x y) (* z t)))) 3) (sqrt (sqrt (+ (* x y) (* z t)))))
0.3b
(pow (sqrt (sqrt (+ (* x y) (* z t)))) 3)
0.6b
(sqrt (+ (* x y) (* z t)))
0.6b
(sqrt (+ (* x y) (* z t)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
93×sqrt-prod
70×add-sqr-sqrt
32×sqrt-div
27×unpow-prod-down cube-prod
24×associate-*l* unswap-sqr
23×add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log
9×flip3-+ associate-*r* flip-+
8×cube-div
7×add-cbrt-cube
6×sqrt-pow1
5×pow-pow sqr-pow
4×frac-times pow1/2 add-log-exp
3×pow-unpow prod-exp
2×cube-mult pow-to-exp rem-sqrt-square unpow3 associate-*r/ associate-*l/ pow-exp
1×pow-plus *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 151
Calls
4 calls:
16.0ms
(* (pow (sqrt (sqrt (+ (* x y) (* z t)))) 3) (sqrt (sqrt (+ (* x y) (* z t)))))
6.0ms
(pow (sqrt (sqrt (+ (* x y) (* z t)))) 3)
4.0ms
(sqrt (+ (* x y) (* z t)))
4.0ms
(sqrt (+ (* x y) (* z t)))

series104.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (pow (sqrt (sqrt (+ (* x y) (* z t)))) 3) (sqrt (sqrt (+ (* x y) (* z t)))))
52.0ms
(pow (sqrt (sqrt (+ (* x y) (* z t)))) 3)
22.0ms
(sqrt (+ (* x y) (* z t)))
19.0ms
(sqrt (+ (* x y) (* z t)))

simplify57.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
053332348

prune133.0ms

Filtered
85 candidates to 163 candidates (-91.8%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1630163
Fresh000
Picked011
Done033
Total1634167

Merged error: 0.0b

Counts
167 → 4

regimes386.0ms

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
0107
1107

end0.0ms

sample497.0ms

Algorithm
intervals
Results
213.0ms8000×body80valid
36.0ms1355×body80invalid

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