Details

Time bar (total: 4.9s)

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

sample32.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
1.0ms15×body80invalid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
0506017

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 29.2b

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)))
28.1b
(/ (+ (* 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
times-frac
pow1
sub-neg associate-*l* add-log-exp
associate-*r/
distribute-rgt-in distribute-lft-in flip3-+ associate-/r* flip-+ associate-/l*
associate-+r+ flip3-- pow-prod-down prod-exp associate-/r/ *-commutative flip-- cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares unswap-sqr
cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 92
Calls
4 calls:
6.0ms
(* z (- t a))
6.0ms
(* z (- b y))
4.0ms
(+ (* x y) (* z (- t a)))
8.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series117.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* z (- t a))
7.0ms
(* z (- b y))
15.0ms
(+ (* x y) (* z (- t a)))
88.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify38.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
052211306

prune147.0ms

Filtered
74 candidates to 104 candidates (-40.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New968104
Fresh000
Picked011
Done000
Total969105

Merged error: 28.5b

Counts
105 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.5b
(+ (* x y) (* z (- t a)))
0.9b
(/ 1 (+ y (* z (- b y))))
27.4b
(* (+ (* 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
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
(+ (* x y) (* z (- t a)))
4.0ms
(/ 1 (+ y (* z (- b y))))
11.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series126.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* z (- b y))
15.0ms
(+ (* x y) (* z (- t a)))
16.0ms
(/ 1 (+ y (* z (- b y))))
88.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify52.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049761663
149761663

prune128.0ms

Filtered
77 candidates to 124 candidates (-61.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1240124
Fresh077
Picked011
Done011
Total1249133

Merged error: 28.5b

Counts
133 → 9

localize13.0ms

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)))))
0.5b
(+ (* x y) (* z (- t a)))
28.2b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite34.0ms

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))))

series252.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* z (- b y))
166.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
13.0ms
(+ (* x y) (* z (- t a)))
65.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify59.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
052903636

prune171.0ms

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

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1631164
Fresh156
Picked011
Done022
Total1649173

Merged error: 28.5b

Counts
173 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* y x) (* z (- t a))))))
0.5b
(+ (* y x) (* z (- t a)))
1.1b
(/ 1 (+ (* y x) (* z (- t a))))
27.4b
(* (+ y (* z (- b y))) (/ 1 (+ (* y x) (* z (- t a)))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
29×add-sqr-sqrt
23×*-un-lft-identity times-frac
22×add-cube-cbrt
20×div-exp add-cbrt-cube
16×prod-exp
15×associate-*r*
10×pow1 rec-exp 1-exp associate-/r/
flip3-+ flip-+
cbrt-undiv associate-/l* add-log-exp
frac-times associate-*l/ associate-/r* cbrt-unprod
pow-flip associate-*l* div-inv unswap-sqr
sub-neg associate-+r+ frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv inv-pow
+-commutative distribute-rgt-in distribute-lft-in sum-log *-commutative
Counts
4 → 132
Calls
4 calls:
11.0ms
(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* y x) (* z (- t a))))))
4.0ms
(+ (* y x) (* z (- t a)))
6.0ms
(/ 1 (+ (* y x) (* z (- t a))))
11.0ms
(* (+ y (* z (- b y))) (/ 1 (+ (* y x) (* z (- t a)))))

series260.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* y x) (* z (- t a))))))
14.0ms
(+ (* y x) (* z (- t a)))
20.0ms
(/ 1 (+ (* y x) (* z (- t a))))
68.0ms
(* (+ y (* z (- b y))) (/ 1 (+ (* y x) (* z (- t a)))))

simplify58.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049642309
149642309

prune109.0ms

Filtered
84 candidates to 144 candidates (-71.4%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1440144
Fresh055
Picked011
Done033
Total1449153

Merged error: 28.5b

Counts
153 → 9

regimes754.0ms

Accuracy

0% (0.6b remaining)

Error of 23.2b against oracle of 22.5b and baseline of 23.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03717
13717

end0.0ms

sample952.0ms

Algorithm
intervals
Results
635.0ms8000×body80valid
20.0ms405×body80invalid

Profiling

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