Details

Time bar (total: 5.0s)

analyze1.4s

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

sample29.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
0.0msbody80invalid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
0501917

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 26.4b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- b y))
1.2b
(+ (* x y) (* z (- t a)))
25.8b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt
times-frac
add-exp-log add-cbrt-cube
pow1 associate-*r* add-log-exp
sub-neg
flip3-+ associate-*l* associate-/r* flip-+ associate-/l*
distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/ associate-/r/ associate-/l/
cbrt-undiv +-commutative flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 68
Calls
3 calls:
6.0ms
(* z (- b y))
4.0ms
(+ (* x y) (* z (- t a)))
11.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series107.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* z (- b y))
13.0ms
(+ (* x y) (* z (- t a)))
87.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify39.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
052111134

prune151.0ms

Filtered
57 candidates to 77 candidates (-35.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New671077
Fresh000
Picked101
Done000
Total681078

Merged error: 25.8b

Counts
78 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.7b
(/ 1 (+ y (* z (- b y))))
1.2b
(+ (* x y) (* z (- t a)))
25.5b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite28.0ms

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
pow1
associate-*l* add-log-exp
flip3-+ prod-exp flip-+
sub-neg div-exp associate-/r/ unswap-sqr
associate-*r/ associate-/r* cbrt-unprod associate-/l*
cbrt-undiv distribute-rgt-in frac-times rec-exp associate-+r+ distribute-lft-in 1-exp pow-prod-down associate-*l/ *-commutative div-inv
+-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 (- b y))
4.0ms
(/ 1 (+ y (* z (- b y))))
4.0ms
(+ (* x y) (* z (- t a)))
11.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series124.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* z (- b y))
16.0ms
(/ 1 (+ y (* z (- b y))))
13.0ms
(+ (* x y) (* z (- t a)))
88.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify41.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
054001664

prune160.0ms

Filtered
78 candidates to 124 candidates (-59.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1231124
Fresh189
Picked011
Done000
Total12410134

Merged error: 25.8b

Counts
134 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.4b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
1.2b
(+ (* x y) (* z (- t a)))
25.9b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite31.0ms

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/
div-exp
pow1 flip3-+ flip-+
div-inv associate-/l* add-log-exp
associate-*r*
cbrt-undiv sub-neg
associate-*l*
distribute-rgt-in rec-exp associate-+r+ frac-2neg distribute-lft-in 1-exp associate-*r/ clear-num associate-/l/
+-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 (- 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))))

series245.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* z (- b y))
159.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
13.0ms
(+ (* x y) (* z (- t a)))
66.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify59.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
060263636

prune210.0ms

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

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1622164
Fresh178
Picked011
Done011
Total16311174

Merged error: 25.7b

Counts
174 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

13.1b
(* (/ 1 (* (cbrt (+ y (* z (- b y)))) (cbrt (+ y (* z (- b y)))))) (/ (+ (* x y) (* z (- t a))) (cbrt (+ y (* z (- b y))))))
15.3b
(cbrt (+ y (* z (- b y))))
15.3b
(cbrt (+ y (* z (- b y))))
15.3b
(cbrt (+ y (* z (- b y))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
43×add-sqr-sqrt
33×times-frac
25×*-un-lft-identity
24×associate-*r*
22×add-cube-cbrt
21×cbrt-prod
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
10×flip3-+ associate-/r/ flip-+
unswap-sqr
cbrt-unprod
cbrt-undiv
pow1
frac-times
rec-exp 1-exp add-log-exp
pow1/3 associate-*r/ associate-*l/
div-inv
pow-prod-down *-commutative
Counts
4 → 119
Calls
4 calls:
24.0ms
(* (/ 1 (* (cbrt (+ y (* z (- b y)))) (cbrt (+ y (* z (- b y)))))) (/ (+ (* x y) (* z (- t a))) (cbrt (+ y (* z (- b y))))))
2.0ms
(cbrt (+ y (* z (- b y))))
3.0ms
(cbrt (+ y (* z (- b y))))
2.0ms
(cbrt (+ y (* z (- b y))))

series313.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(* (/ 1 (* (cbrt (+ y (* z (- b y)))) (cbrt (+ y (* z (- b y)))))) (/ (+ (* x y) (* z (- t a))) (cbrt (+ y (* z (- b y))))))
50.0ms
(cbrt (+ y (* z (- b y))))
49.0ms
(cbrt (+ y (* z (- b y))))
51.0ms
(cbrt (+ y (* z (- b y))))

simplify49.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
051333437

prune162.0ms

Filtered
99 candidates to 131 candidates (-32.3%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1310131
Fresh088
Picked011
Done022
Total13111142

Merged error: 25.7b

Counts
142 → 11

regimes967.0ms

Accuracy

0% (0.7b remaining)

Error of 23.1b against oracle of 22.4b and baseline of 23.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08219
18219

end0.0ms

sample725.0ms

Algorithm
intervals
Results
411.0ms8000×body80valid
21.0ms432×body80invalid

Profiling

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