Details

Time bar (total: 3.2s)

analyze667.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
6.2%82.7%11.1%10
12.5%73.7%13.8%11
15.6%59.5%25%12
17.9%53.3%28.8%13
22.4%47.2%30.4%14

sample26.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
4.0ms113×body80invalid

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
072013
172013

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 3.6b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y (* 4.0 (- t (* z z)))))
3.3b
(* y (* 4.0 (- t (* z z))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
distribute-rgt-in sub-neg distribute-lft-in
pow1 add-exp-log add-cbrt-cube
associate-+r+ associate-*r/ add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-- flip3-+ associate-*r* sum-log *-commutative flip-- flip-+
Counts
2 → 39
Calls
2 calls:
5.0ms
(+ (* x x) (* y (* 4.0 (- t (* z z)))))
7.0ms
(* y (* 4.0 (- t (* z z))))

series41.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ (* x x) (* y (* 4.0 (- t (* z z)))))
16.0ms
(* y (* 4.0 (- t (* z z))))

simplify26.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
05858548

prune69.0ms

Filtered
30 candidates to 45 candidates (-50.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New38745
Fresh000
Picked011
Done000
Total38846

Merged error: 3.0b

Counts
46 → 8

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x x) (* y (* 4.0 t)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
4.0ms
(+ (* x x) (* y (* 4.0 t)))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(+ (* x x) (* y (* 4.0 t)))

simplify56.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04938173
14938173

prune53.0ms

Filtered
10 candidates to 14 candidates (-40.0%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New11314
Fresh066
Picked011
Done011
Total111122

Merged error: 3.0b

Counts
22 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (/ (* y (* 4.0 (- (* t t) (pow z 4)))) (+ t (* z z))))
2.4b
(- (* t t) (pow z 4))
9.6b
(* y (* 4.0 (- (* t t) (pow z 4))))
22.6b
(/ (* y (* 4.0 (- (* t t) (pow z 4)))) (+ t (* z z)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log add-cbrt-cube
pow1 add-sqr-sqrt
associate-*r/ add-log-exp
add-cube-cbrt *-un-lft-identity
prod-exp cbrt-unprod
sub-neg
distribute-rgt-in distribute-lft-in
cbrt-undiv flip3-- times-frac div-exp associate-*l* pow-prod-down associate-/r* flip-- difference-of-squares
flip3-+ associate-/r/ flip-+ associate-/l/
+-commutative unpow-prod-down frac-2neg diff-log associate-*r* clear-num sum-log *-commutative div-inv associate-/l* sqr-pow
Counts
4 → 76
Calls
4 calls:
13.0ms
(+ (* x x) (/ (* y (* 4.0 (- (* t t) (pow z 4)))) (+ t (* z z))))
10.0ms
(- (* t t) (pow z 4))
18.0ms
(* y (* 4.0 (- (* t t) (pow z 4))))
12.0ms
(/ (* y (* 4.0 (- (* t t) (pow z 4)))) (+ t (* z z)))

series154.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(+ (* x x) (/ (* y (* 4.0 (- (* t t) (pow z 4)))) (+ t (* z z))))
12.0ms
(- (* t t) (pow z 4))
29.0ms
(* y (* 4.0 (- (* t t) (pow z 4))))
46.0ms
(/ (* y (* 4.0 (- (* t t) (pow z 4)))) (+ t (* z z)))

simplify29.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
052251167

prune124.0ms

Filtered
58 candidates to 88 candidates (-51.7%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New87188
Fresh178
Picked011
Done022
Total881199

Merged error: 3.0b

Counts
99 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

3.9b
(cbrt (+ t (* z z)))
3.9b
(cbrt (+ t (* z z)))
5.6b
(* (/ 4.0 (cbrt (+ t (* z z)))) (- (* t t) (pow z 4)))
26.7b
(* (/ y (* (cbrt (+ t (* z z))) (cbrt (+ t (* z z))))) (* (/ 4.0 (cbrt (+ t (* z z)))) (- (* t t) (pow z 4))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
39×associate-*l*
35×add-cbrt-cube
32×add-sqr-sqrt
23×times-frac
22×add-cube-cbrt *-un-lft-identity
20×prod-exp cbrt-unprod
18×cbrt-div
16×cbrt-prod
15×frac-times
13×associate-*r/
11×pow1
10×cbrt-undiv div-exp associate-/r/
flip3-+ flip-+
associate-*r*
sub-neg flip3-- associate-*l/ flip--
distribute-rgt-in distribute-lft-in
pow-prod-down add-log-exp
difference-of-squares unswap-sqr
pow1/3 *-commutative div-inv
unpow-prod-down sqr-pow
Counts
4 → 138
Calls
4 calls:
3.0ms
(cbrt (+ t (* z z)))
3.0ms
(cbrt (+ t (* z z)))
15.0ms
(* (/ 4.0 (cbrt (+ t (* z z)))) (- (* t t) (pow z 4)))
25.0ms
(* (/ y (* (cbrt (+ t (* z z))) (cbrt (+ t (* z z))))) (* (/ 4.0 (cbrt (+ t (* z z)))) (- (* t t) (pow z 4))))

series211.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(cbrt (+ t (* z z)))
54.0ms
(cbrt (+ t (* z z)))
61.0ms
(* (/ 4.0 (cbrt (+ t (* z z)))) (- (* t t) (pow z 4)))
43.0ms
(* (/ y (* (cbrt (+ t (* z z))) (cbrt (+ t (* z z))))) (* (/ 4.0 (cbrt (+ t (* z z)))) (- (* t t) (pow z 4))))

simplify89.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
049933308
149933308

prune197.0ms

Filtered
108 candidates to 150 candidates (-38.9%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1500150
Fresh077
Picked011
Done033
Total15011161

Merged error: 3.0b

Counts
161 → 11

regimes508.0ms

Accuracy

0% (0.8b remaining)

Error of 5.9b against oracle of 5.0b and baseline of 5.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03213
13213

end0.0ms

sample684.0ms

Algorithm
intervals
Results
302.0ms8000×body80valid
114.0ms3101×body80invalid

Profiling

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