Details

Time bar (total: 2.1s)

analyze247.0ms

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
18.7%81.1%0.1%8
36.7%60.8%2.5%9
43.3%49.9%6.8%10
49.7%40.8%9.5%11
58.2%30.4%11.4%12
61.3%24.7%14%13
65%19.9%15.1%14

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
1.0ms25×body80invalid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0153
1253
2363
3403
4463
5583
6933
71303
81633
92733
105073
1116183
1250013

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (+ z x)))
0.0b
(* y (+ z x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
3.0ms
(+ x (* y (+ z x)))
5.0ms
(* y (+ z x))

series12.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ x (* y (+ z x)))
6.0ms
(* y (+ z x))

simplify92.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0186164
1769149
23889149
35003149

prune46.0ms

Filtered
28 candidates to 42 candidates (-50.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New38442
Fresh000
Picked101
Done000
Total39443

Merged error: 0.0b

Counts
43 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (+ (* y z) (* y x)))
0.0b
(+ (* y z) (* y x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×*-un-lft-identity sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ add-cbrt-cube flip-+ distribute-lft-out
1×associate-+r+
Counts
2 → 26
Calls
2 calls:
5.0ms
(+ x (+ (* y z) (* y x)))
3.0ms
(+ (* y z) (* y x))

series13.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ x (+ (* y z) (* y x)))
6.0ms
(+ (* y z) (* y x))

simplify80.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0171168
1679149
22849147
35001147

prune36.0ms

Filtered
24 candidates to 32 candidates (-33.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New32032
Fresh033
Picked011
Done000
Total32436

Merged error: 0.0b

Counts
36 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ z x)) (cbrt (+ z x)))
0.5b
(cbrt (+ z x))
0.5b
(cbrt (+ z x))
0.5b
(cbrt (+ z x))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
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 → 95
Calls
4 calls:
9.0ms
(* (cbrt (+ z x)) (cbrt (+ z x)))
3.0ms
(cbrt (+ z x))
3.0ms
(cbrt (+ z x))
3.0ms
(cbrt (+ z x))

series127.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (cbrt (+ z x)) (cbrt (+ z x)))
29.0ms
(cbrt (+ z x))
31.0ms
(cbrt (+ z x))
29.0ms
(cbrt (+ z x))

simplify123.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (112.0ms)

IterNodesCost
0285746
1850709
23884634
35001621

prune111.0ms

Filtered
75 candidates to 107 candidates (-42.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1061107
Fresh022
Picked101
Done011
Total1074111

Merged error: 0b

Counts
111 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
2.7b
(cbrt (* y (+ z x)))
2.7b
(cbrt (* y (+ z x)))
2.7b
(cbrt (* y (+ z x)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
6.0ms
(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
4.0ms
(cbrt (* y (+ z x)))
4.0ms
(cbrt (* y (+ z x)))
4.0ms
(cbrt (* y (+ z x)))

series122.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
28.0ms
(cbrt (* y (+ z x)))
29.0ms
(cbrt (* y (+ z x)))
27.0ms
(cbrt (* y (+ z x)))

simplify73.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0254609
1830557
23195506
35001479

prune113.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh112
Picked011
Done011
Total84488

Merged error: 0b

Counts
88 → 4

regimes134.0ms

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
0114
1114

end0.0ms

analyze242.0ms

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
18.7%81.1%0.1%8
36.7%60.8%2.5%9
43.3%49.9%6.8%10
49.7%40.8%9.5%11
58.2%30.4%11.4%12
61.3%24.7%14%13
65%19.9%15.1%14

sample348.0ms

Algorithm
intervals
Results
177.0ms8000×body80valid
12.0ms579×body80invalid

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