Details

Time bar (total: 7.2s)

analyze1.5s

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

sample35.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
1.0ms16×body80invalid

simplify122.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0238
1378
2658
3948
41088
51328
62018
73598
88258
932128
1050028

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 23.8b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.0b
(* z (- b y))
0.5b
(+ (* x y) (* z (- t a)))
23.0b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
20×*-un-lft-identity
16×add-cube-cbrt
10×add-exp-log associate-*r* add-cbrt-cube
9×times-frac
8×pow1
6×distribute-rgt-in sub-neg distribute-lft-in associate-*l* add-log-exp
4×associate-+r+ associate-*r/
3×flip3-+ associate-/r* flip-+ associate-/l*
2×flip3-- pow-prod-down prod-exp associate-/r/ *-commutative flip-- cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 98
Calls
4 calls:
6.0ms
(* z (- t a))
6.0ms
(* z (- b y))
4.0ms
(+ (* x y) (* z (- t a)))
7.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series127.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* z (- t a))
10.0ms
(* z (- b y))
16.0ms
(+ (* x y) (* z (- t a)))
92.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify59.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0401714
11759659
25001659

prune230.0ms

Filtered
74 candidates to 110 candidates (-48.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New9911110
Fresh000
Picked101
Done000
Total10011111

Merged error: 23.1b

Counts
111 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.5b
(+ (* x y) (* z (- t a)))
0.6b
(/ 1 (+ y (* z (- b y))))
22.6b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
25×*-un-lft-identity
22×add-cube-cbrt
20×times-frac associate-*r*
19×add-exp-log
13×add-cbrt-cube
9×pow1
6×associate-*l* add-log-exp
5×flip3-+ prod-exp flip-+
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in div-exp associate-/r/ unswap-sqr
3×associate-*r/ associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative flip3-- pow-flip frac-2neg clear-num sum-log un-div-inv flip-- distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 116
Calls
4 calls:
7.0ms
(* z (- b y))
4.0ms
(+ (* x y) (* z (- t a)))
5.0ms
(/ 1 (+ y (* z (- b y))))
12.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series141.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* z (- b y))
16.0ms
(+ (* x y) (* z (- t a)))
22.0ms
(/ 1 (+ y (* z (- b y))))
95.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify66.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0449955
12234847
25001821

prune160.0ms

Filtered
77 candidates to 128 candidates (-66.2%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1280128
Fresh01010
Picked011
Done000
Total12811139

Merged error: 23.1b

Counts
139 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.3b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.5b
(+ (* x y) (* z (- t a)))
23.0b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
62×add-sqr-sqrt
60×*-un-lft-identity
58×add-cube-cbrt
19×add-exp-log
18×associate-/r*
13×add-cbrt-cube
11×associate-/r/
8×div-exp
7×pow1 flip3-+ flip-+
6×div-inv associate-/l* add-log-exp
5×associate-*r*
4×cbrt-undiv distribute-rgt-in sub-neg associate-+r+ distribute-lft-in
3×associate-*l*
2×rec-exp frac-2neg 1-exp associate-*r/ clear-num associate-/l/
1×+-commutative flip3-- pow-flip pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 156
Calls
4 calls:
7.0ms
(* z (- b y))
10.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
7.0ms
(+ (* x y) (* z (- t a)))
8.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series290.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* z (- b y))
188.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
17.0ms
(+ (* x y) (* z (- t a)))
77.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify81.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05762057
127901879
250011791

prune185.0ms

Filtered
95 candidates to 168 candidates (-76.8%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1671168
Fresh099
Picked011
Done011
Total16712179

Merged error: 23.1b

Counts
179 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- b y))
0.5b
(cbrt (- b y))
0.5b
(cbrt (- b y))
23.0b
(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt *-un-lft-identity
15×cbrt-prod add-cube-cbrt
9×times-frac
6×add-exp-log cbrt-div add-cbrt-cube
4×pow1 add-log-exp
3×flip3-- pow1/3 associate-/r* flip-- associate-/l* distribute-lft-out-- difference-of-squares
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 76
Calls
4 calls:
4.0ms
(cbrt (- b y))
3.0ms
(cbrt (- b y))
3.0ms
(cbrt (- b y))
8.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

series202.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt (- b y))
30.0ms
(cbrt (- b y))
34.0ms
(cbrt (- b y))
107.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03451076
11178986
25001956

prune109.0ms

Filtered
71 candidates to 88 candidates (-23.9%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New88088
Fresh099
Picked011
Done022
Total8812100

Merged error: 23.1b

Counts
100 → 12

regimes1.2s

Accuracy

0% (0.7b remaining)

Error of 23.3b against oracle of 22.6b and baseline of 23.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0249
1249

end0.0ms

analyze1.7s

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

sample729.0ms

Algorithm
intervals
Results
421.0ms8000×body80valid
22.0ms431×body80invalid

Profiling

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