Details

Time bar (total: 6.5s)

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
1.0ms13×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: 27.5b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.0b
(* z (- t a))
0.4b
(+ (* x y) (* z (- t a)))
26.7b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite24.0ms

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:
3.0ms
(+ y (* z (- b y)))
8.0ms
(* z (- t a))
4.0ms
(+ (* x y) (* z (- t a)))
7.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series115.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ y (* z (- b y)))
7.0ms
(* z (- t a))
13.0ms
(+ (* x y) (* z (- t a)))
88.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify29.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
057981289

prune188.0ms

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

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New801393
Fresh000
Picked101
Done000
Total811394

Merged error: 26.7b

Counts
94 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.4b
(+ (* x y) (* z (- t a)))
0.8b
(/ 1 (+ y (* z (- b y))))
26.4b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite29.0ms

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×sub-neg div-exp associate-/r/ unswap-sqr
3×associate-*r/ associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times rec-exp associate-+r+ distribute-lft-in 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 → 112
Calls
4 calls:
6.0ms
(* z (- t a))
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)))))

series125.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* z (- t a))
13.0ms
(+ (* x y) (* z (- t a)))
16.0ms
(/ 1 (+ y (* z (- b y))))
89.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify47.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
054221664

prune151.0ms

Filtered
79 candidates to 124 candidates (-57.0%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1231124
Fresh11112
Picked011
Done000
Total12413137

Merged error: 26.7b

Counts
137 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.4b
(+ (* x y) (* z (- t a)))
0.6b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
26.3b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite30.0ms

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 sub-neg
3×associate-*l*
2×distribute-rgt-in rec-exp associate-+r+ frac-2neg distribute-lft-in 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 → 152
Calls
4 calls:
6.0ms
(* z (- t a))
4.0ms
(+ (* x y) (* z (- t a)))
8.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
7.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series273.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* z (- t a))
15.0ms
(+ (* x y) (* z (- t a)))
159.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
92.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify65.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
055143636

prune192.0ms

Filtered
112 candidates to 164 candidates (-46.4%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1631164
Fresh01111
Picked011
Done101
Total16413177

Merged error: 26.7b

Counts
177 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b
(+ (* x y) (* z (- t a)))
0.8b
(/ 1 (+ y (* z (- b y))))
1.1b
(/ 1 (+ (* x y) (* z (- t a))))
25.6b
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
531×times-frac
244×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
69×associate-/r/
52×add-exp-log
36×div-exp
35×flip3-+ flip-+ div-inv
21×associate-/r* associate-/l*
20×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
6×pow1 add-log-exp
3×frac-2neg clear-num
2×sub-neg associate-+r+ pow-flip inv-pow
1×+-commutative distribute-rgt-in distribute-lft-in sum-log associate-/l/
Counts
4 → 366
Calls
4 calls:
4.0ms
(+ (* x y) (* z (- t a)))
5.0ms
(/ 1 (+ y (* z (- b y))))
8.0ms
(/ 1 (+ (* x y) (* z (- t a))))
16.0ms
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

series220.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(+ (* x y) (* z (- t a)))
19.0ms
(/ 1 (+ y (* z (- b y))))
20.0ms
(/ 1 (+ (* x y) (* z (- t a))))
169.0ms
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify178.0ms

Algorithm
egg-herbie
Counts
378 → 378
Iterations

Useful iterations: 0 (100.0ms)

IterNodesCost
0509912251

prune358.0ms

Filtered
193 candidates to 378 candidates (-95.9%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New3780378
Fresh01111
Picked011
Done011
Total37813391

Merged error: 26.7b

Counts
391 → 13

regimes1.0s

Accuracy

0% (0.7b remaining)

Error of 23.4b against oracle of 22.6b and baseline of 23.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02219
12219

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

sample690.0ms

Algorithm
intervals
Results
400.0ms8000×body80valid
23.0ms416×body80invalid

Profiling

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