Details

Time bar (total: 3.0s)

analyze420.0ms

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
25%74.9%0.2%7
25%74.9%0.2%8
34.3%65.5%0.2%9
39%60.8%0.2%10
48.3%51.5%0.2%11
53.7%46.1%0.2%12
63.1%36.7%0.2%13
64%35.6%0.4%14

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms12×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
087
187

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.3b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

4.3b
(/ x (- y (* z t)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
add-exp-log associate-/r* add-cbrt-cube associate-/l*
associate-/r/
pow1 cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
4.0ms
(/ x (- y (* z t)))

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(/ x (- y (* z t)))

simplify44.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04955341
14955341

prune58.0ms

Filtered
25 candidates to 32 candidates (-28.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New27532
Fresh000
Picked011
Done000
Total27633

Merged error: 4.2b

Counts
33 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (- y (* z t)))
3.9b
(* x (/ 1 (- y (* z t))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log associate-*r*
add-cbrt-cube
pow1
div-exp prod-exp associate-/r/
associate-*l* associate-/r* associate-/l* unswap-sqr
cbrt-undiv rec-exp flip3-- 1-exp flip-- cbrt-unprod div-inv add-log-exp
pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 71
Calls
2 calls:
5.0ms
(/ 1 (- y (* z t)))
9.0ms
(* x (/ 1 (- y (* z t))))

series24.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(/ 1 (- y (* z t)))
12.0ms
(* x (/ 1 (- y (* z t))))

simplify73.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
05029693

prune81.0ms

Filtered
47 candidates to 77 candidates (-63.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh044
Picked011
Done011
Total77683

Merged error: 4.2b

Counts
83 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

1.1b
(/ 1 (/ (- y (* z t)) x))
3.9b
(/ (- y (* z t)) x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
15×add-exp-log
add-cbrt-cube
div-exp
div-inv associate-/l*
cbrt-undiv
pow1
rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
flip3-- pow-flip div-sub associate-/r/ flip-- inv-pow
Counts
2 → 106
Calls
2 calls:
7.0ms
(/ 1 (/ (- y (* z t)) x))
5.0ms
(/ (- y (* z t)) x)

series38.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ 1 (/ (- y (* z t)) x))
12.0ms
(/ (- y (* z t)) x)

simplify75.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
048771455
148771455

prune99.0ms

Filtered
69 candidates to 112 candidates (-62.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1102112
Fresh213
Picked011
Done022
Total1126118

Merged error: 0.5b

Counts
118 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (- y (* z t)))
4.0b
(/ (/ 1 (- y (* z t))) (/ 1 x))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
474×times-frac
220×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
46×add-exp-log
34×div-exp
32×div-inv
31×associate-/r/
18×associate-/l*
16×associate-/r* add-cbrt-cube
15×flip3-- flip--
cbrt-undiv rec-exp 1-exp
pow1
frac-2neg clear-num add-log-exp
pow-flip associate-/l/ inv-pow
Counts
2 → 288
Calls
2 calls:
5.0ms
(/ 1 (- y (* z t)))
13.0ms
(/ (/ 1 (- y (* z t))) (/ 1 x))

series40.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(/ 1 (- y (* z t)))
29.0ms
(/ (/ 1 (- y (* z t))) (/ 1 x))

simplify116.0ms

Algorithm
egg-herbie
Counts
294 → 294
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
050875408

prune223.0ms

Filtered
133 candidates to 294 candidates (-121.1%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New2931294
Fresh022
Picked011
Done033
Total2937300

Merged error: 0.4b

Counts
300 → 7

regimes712.0ms

Accuracy

72% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 3.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02531
12531

end0.0ms

analyze419.0ms

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
25%74.9%0.2%7
25%74.9%0.2%8
34.3%65.5%0.2%9
39%60.8%0.2%10
48.3%51.5%0.2%11
53.7%46.1%0.2%12
63.1%36.7%0.2%13
64%35.6%0.4%14

sample432.0ms

Algorithm
intervals
Results
227.0ms8000×body80valid
9.0ms340×body80invalid

Profiling

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