Details

Time bar (total: 5.8s)

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%99.7%0.3%11
0%99.7%0.3%12
0%99.7%0.3%13
0%99.7%0.3%14

sample44.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
7.0ms131×body80invalid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
0495317
1495317

prune22.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.2b

Counts
2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (* t a))
0.2b
(* x (* 9.0 y))
2.0b
(/ (+ (* x (* 9.0 y)) b) z)
10.3b
(/ (- (/ (+ (* x (* 9.0 y)) b) z) (* 4.0 (* t a))) c)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×add-exp-log times-frac add-cbrt-cube
14×pow1
6×associate-*l* pow-prod-down prod-exp associate-/r* cbrt-unprod associate-/l*
4×associate-/l/ add-log-exp
2×cbrt-undiv frac-2neg div-exp associate-*r* clear-num *-commutative div-inv
1×flip3-- flip3-+ div-sub flip-- flip-+
Counts
4 → 95
Calls
4 calls:
5.0ms
(* 4.0 (* t a))
5.0ms
(* x (* 9.0 y))
8.0ms
(/ (+ (* x (* 9.0 y)) b) z)
12.0ms
(/ (- (/ (+ (* x (* 9.0 y)) b) z) (* 4.0 (* t a))) c)

series69.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* 4.0 (* t a))
4.0ms
(* x (* 9.0 y))
14.0ms
(/ (+ (* x (* 9.0 y)) b) z)
48.0ms
(/ (- (/ (+ (* x (* 9.0 y)) b) z) (* 4.0 (* t a))) c)

simplify40.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
052161453

prune201.0ms

Filtered
74 candidates to 107 candidates (-44.6%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New989107
Fresh011
Picked101
Done000
Total9910109

Merged error: 0.1b

Counts
109 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

4.4b
(/ x (* z c))
4.9b
(* t (/ a c))
5.5b
(/ b (* z c))
6.2b
(* y (/ x (* z c)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
26×add-sqr-sqrt
20×associate-*r*
19×add-cube-cbrt *-un-lft-identity times-frac
8×pow1 prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×associate-*l* associate-/l*
4×div-inv add-log-exp
3×unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 101
Calls
4 calls:
4.0ms
(/ x (* z c))
6.0ms
(* t (/ a c))
4.0ms
(/ b (* z c))
7.0ms
(* y (/ x (* z c)))

series24.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ x (* z c))
5.0ms
(* t (/ a c))
5.0ms
(/ b (* z c))
8.0ms
(* y (/ x (* z c)))

simplify55.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04996768
14996768

prune185.0ms

Filtered
74 candidates to 113 candidates (-52.7%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1058113
Fresh459
Picked101
Done000
Total11013123

Merged error: 0.0b

Counts
123 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

4.4b
(/ x (* z c))
4.9b
(* t (/ a c))
5.1b
(* b (/ 1 (* z c)))
6.2b
(* y (/ x (* z c)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log
32×add-cbrt-cube
29×add-sqr-sqrt
27×associate-*r*
20×add-cube-cbrt *-un-lft-identity
19×times-frac
17×prod-exp
11×cbrt-unprod
10×pow1
9×div-exp associate-*l*
7×cbrt-undiv
4×div-inv add-log-exp unswap-sqr
3×associate-*r/ pow-prod-down *-commutative associate-/l*
2×rec-exp 1-exp
1×frac-2neg clear-num associate-/r* un-div-inv
Counts
4 → 112
Calls
4 calls:
4.0ms
(/ x (* z c))
6.0ms
(* t (/ a c))
7.0ms
(* b (/ 1 (* z c)))
7.0ms
(* y (/ x (* z c)))

series26.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(/ x (* z c))
5.0ms
(* t (/ a c))
5.0ms
(* b (/ 1 (* z c)))
8.0ms
(* y (/ x (* z c)))

simplify54.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05191825

prune169.0ms

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

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1240124
Fresh01212
Picked011
Done000
Total12413137

Merged error: 0.0b

Counts
137 → 13

localize19.0ms

Local error

Found 4 expressions with local error:

4.4b
(/ x (* z c))
5.1b
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
5.5b
(/ b (* z c))
6.2b
(* y (/ x (* z c)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log add-sqr-sqrt
37×times-frac add-cbrt-cube
29×associate-*r*
26×add-cube-cbrt *-un-lft-identity
14×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
11×cbrt-prod
10×associate-*l*
8×pow1
7×unswap-sqr
6×associate-/l*
5×div-inv
4×add-log-exp
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
1×frac-times associate-*l/
Counts
4 → 128
Calls
4 calls:
4.0ms
(/ x (* z c))
14.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
4.0ms
(/ b (* z c))
7.0ms
(* y (/ x (* z c)))

series31.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(/ x (* z c))
10.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
5.0ms
(/ b (* z c))
8.0ms
(* y (/ x (* z c)))

simplify60.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
050061203

prune141.0ms

Filtered
97 candidates to 140 candidates (-44.3%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1391140
Fresh11011
Picked101
Done011
Total14112153

Merged error: 0.0b

Counts
153 → 12

regimes1.7s

Accuracy

67.2% (3.4b remaining)

Error of 3.4b against oracle of 0.1b and baseline of 10.4b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215191
1215191

end0.0ms

sample1.3s

Algorithm
intervals
Results
491.0ms8000×body80valid
273.0ms4589×body80invalid

Profiling

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