Details

Time bar (total: 4.5s)

analyze1.2s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.6%98.1%0.3%13
3.1%96.6%0.3%14

sample32.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
5.0ms160×body80invalid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02516
12516

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
associate-+l+
Counts
2 → 24
Calls
2 calls:
5.0ms
(+ (* x y) (* z t))
8.0ms
(+ (+ (* x y) (* z t)) (* a b))

series43.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(+ (* x y) (* z t))
30.0ms
(+ (+ (* x y) (* z t)) (* a b))

simplify70.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05027546

prune47.0ms

Filtered
23 candidates to 30 candidates (-30.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New28230
Fresh000
Picked011
Done000
Total28331

Merged error: 0.0b

Counts
31 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (+ (* a b) (+ (* x y) (* z t)))) (cbrt (+ (* a b) (+ (* x y) (* z t)))))
0.8b
(cbrt (+ (* a b) (+ (* x y) (* z t))))
0.8b
(cbrt (+ (* a b) (+ (* x y) (* z t))))
0.8b
(cbrt (+ (* a b) (+ (* x y) (* z t))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-+ pow1/3 flip-+
add-exp-log swap-sqr associate-*r* associate-*l*
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
21.0ms
(* (cbrt (+ (* a b) (+ (* x y) (* z t)))) (cbrt (+ (* a b) (+ (* x y) (* z t)))))
8.0ms
(cbrt (+ (* a b) (+ (* x y) (* z t))))
7.0ms
(cbrt (+ (* a b) (+ (* x y) (* z t))))
7.0ms
(cbrt (+ (* a b) (+ (* x y) (* z t))))

series302.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* (cbrt (+ (* a b) (+ (* x y) (* z t)))) (cbrt (+ (* a b) (+ (* x y) (* z t)))))
61.0ms
(cbrt (+ (* a b) (+ (* x y) (* z t))))
60.0ms
(cbrt (+ (* a b) (+ (* x y) (* z t))))
69.0ms
(cbrt (+ (* a b) (+ (* x y) (* z t))))

simplify87.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049163023
149163023

prune128.0ms

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

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh011
Picked011
Done011
Total984102

Merged error: 0b

Counts
102 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (+ (* a b) (+ (* x y) (* z t))))
0.8b
(cbrt (+ (* a b) (+ (* x y) (* z t))))
0.8b
(cbrt (+ (* a b) (+ (* x y) (* z t))))
0.8b
(cbrt (+ (* a b) (+ (* x y) (* z t))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
Calls
4 calls:
6.0ms
(cbrt (+ (* a b) (+ (* x y) (* z t))))
6.0ms
(cbrt (+ (* a b) (+ (* x y) (* z t))))
6.0ms
(cbrt (+ (* a b) (+ (* x y) (* z t))))
6.0ms
(cbrt (+ (* a b) (+ (* x y) (* z t))))

series221.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(cbrt (+ (* a b) (+ (* x y) (* z t))))
56.0ms
(cbrt (+ (* a b) (+ (* x y) (* z t))))
54.0ms
(cbrt (+ (* a b) (+ (* x y) (* z t))))
55.0ms
(cbrt (+ (* a b) (+ (* x y) (* z t))))

simplify57.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
052851700

prune103.0ms

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: 0b

Counts
68 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* a b) (+ (* x y) (* z t)))
0.3b
(* (sqrt (+ (* a b) (+ (* x y) (* z t)))) (sqrt (+ (* a b) (+ (* x y) (* z t)))))
0.3b
(sqrt (+ (* a b) (+ (* x y) (* z t))))
0.3b
(sqrt (+ (* a b) (+ (* x y) (* z t))))

rewrite38.0ms

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
flip3-+ flip-+ add-log-exp
swap-sqr
add-exp-log associate-*r* associate-*l* add-cbrt-cube
pow-prod-up
frac-times unswap-sqr
pow-prod-down sum-log pow-sqr
rem-sqrt-square associate-*r/ associate-*l/
+-commutative pow2 associate-+r+ pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 100
Calls
4 calls:
7.0ms
(+ (* a b) (+ (* x y) (* z t)))
16.0ms
(* (sqrt (+ (* a b) (+ (* x y) (* z t)))) (sqrt (+ (* a b) (+ (* x y) (* z t)))))
6.0ms
(sqrt (+ (* a b) (+ (* x y) (* z t))))
6.0ms
(sqrt (+ (* a b) (+ (* x y) (* z t))))

series309.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(+ (* a b) (+ (* x y) (* z t)))
21.0ms
(* (sqrt (+ (* a b) (+ (* x y) (* z t)))) (sqrt (+ (* a b) (+ (* x y) (* z t)))))
135.0ms
(sqrt (+ (* a b) (+ (* x y) (* z t))))
133.0ms
(sqrt (+ (* a b) (+ (* x y) (* z t))))

simplify76.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049683002
149683002

prune88.0ms

Filtered
68 candidates to 112 candidates (-64.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1120112
Fresh000
Picked011
Done033
Total1124116

Merged error: 0b

Counts
116 → 4

regimes745.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01716
11716

end0.0ms

sample809.0ms

Algorithm
intervals
Results
295.0ms8000×body80valid
141.0ms3916×body80invalid

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