Details

Time bar (total: 5.7s)

analyze1.3s

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
0.6%99.1%0.3%11
1.8%98%0.3%12
2.6%97.1%0.3%13
4%95.7%0.3%14

sample26.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
1.0ms11×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01917
11917

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 24.2b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.0b
(+ y (* z (- b y)))
0.5b
(+ (* x y) (* z (- t a)))
23.5b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
9×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1 sub-neg
5×associate-*r*
4×associate-+r+ flip3-+ flip-+
3×distribute-rgt-in distribute-lft-in associate-*l* associate-/r* associate-/l*
2×+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 81
Calls
4 calls:
6.0ms
(* z (- b y))
3.0ms
(+ y (* z (- b y)))
4.0ms
(+ (* x y) (* z (- t a)))
7.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series121.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* z (- b y))
7.0ms
(+ y (* z (- b y)))
14.0ms
(+ (* x y) (* z (- t a)))
93.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify27.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
049851289
149851289

prune151.0ms

Filtered
69 candidates to 93 candidates (-34.8%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New84993
Fresh000
Picked011
Done000
Total841094

Merged error: 23.5b

Counts
94 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.5b
(+ (* x y) (* z (- t a)))
0.8b
(/ 1 (+ y (* z (- b y))))
23.1b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
8×add-log-exp
7×pow1
6×flip3-+ flip-+
4×sub-neg associate-+r+ div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv +-commutative distribute-rgt-in frac-times rec-exp distribute-lft-in 1-exp associate-*l/ sum-log cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 101
Calls
4 calls:
3.0ms
(+ y (* z (- b y)))
4.0ms
(+ (* x y) (* z (- t a)))
4.0ms
(/ 1 (+ y (* z (- b y))))
12.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series131.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ y (* z (- b y)))
14.0ms
(+ (* x y) (* z (- t a)))
18.0ms
(/ 1 (+ y (* z (- b y))))
92.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify57.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
050981647

prune129.0ms

Filtered
72 candidates to 113 candidates (-56.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh088
Picked011
Done011
Total11310123

Merged error: 23.5b

Counts
123 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.3b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.5b
(+ (* x y) (* z (- t a)))
23.5b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
56×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube
8×flip3-+ div-exp flip-+ add-log-exp
6×div-inv associate-/l*
5×pow1
4×cbrt-undiv sub-neg associate-+r+
2×+-commutative distribute-rgt-in rec-exp frac-2neg distribute-lft-in 1-exp clear-num sum-log associate-/l/
1×pow-flip inv-pow
Counts
4 → 141
Calls
4 calls:
3.0ms
(+ y (* z (- b y)))
9.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
4.0ms
(+ (* x y) (* z (- t a)))
7.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series269.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(+ y (* z (- b y)))
174.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
14.0ms
(+ (* x y) (* z (- t a)))
72.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify70.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
060183619

prune164.0ms

Filtered
107 candidates to 153 candidates (-43.0%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1530153
Fresh077
Picked011
Done022
Total15310163

Merged error: 23.5b

Counts
163 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- b y))
0.5b
(cbrt (- b y))
0.5b
(* (cbrt (- b y)) (cbrt (- b y)))
23.5b
(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×*-un-lft-identity
38×cbrt-prod
22×add-cube-cbrt
16×cbrt-div
11×pow1
10×swap-sqr
9×times-frac
8×add-exp-log flip3-- pow1/3 associate-*r* associate-*l* flip-- distribute-lft-out--
6×add-cbrt-cube difference-of-squares
4×frac-times add-log-exp unswap-sqr
3×associate-/r* associate-/l*
2×flip3-+ associate-*r/ pow-prod-down associate-*l/ associate-/r/ pow-sqr pow-prod-up flip-+ associate-/l/
1×cbrt-undiv pow2 frac-2neg pow-plus div-exp prod-exp clear-num *-commutative cbrt-unprod div-inv
Counts
4 → 117
Calls
4 calls:
3.0ms
(cbrt (- b y))
3.0ms
(cbrt (- b y))
10.0ms
(* (cbrt (- b y)) (cbrt (- b y)))
7.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

series177.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt (- b y))
26.0ms
(cbrt (- b y))
30.0ms
(* (cbrt (- b y)) (cbrt (- b y)))
93.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
051291671

prune115.0ms

Filtered
84 candidates to 129 candidates (-53.6%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1281129
Fresh066
Picked011
Done033
Total12811139

Merged error: 23.5b

Counts
139 → 11

regimes838.0ms

Accuracy

0% (0.6b remaining)

Error of 23.1b against oracle of 22.5b and baseline of 23.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01917
11917

end0.0ms

analyze1.3s

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
0.6%99.1%0.3%11
1.8%98%0.3%12
2.6%97.1%0.3%13
4%95.7%0.3%14

sample685.0ms

Algorithm
intervals
Results
404.0ms8000×body80valid
20.0ms417×body80invalid

Profiling

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