Details

Time bar (total: 2.2s)

analyze396.0ms

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
1.0ms22×body80invalid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
01257
11257

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.9b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
2.9b
(/ x (- y (* z t)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 40
Calls
2 calls:
3.0ms
(- y (* z t))
4.0ms
(/ x (- y (* z t)))

series19.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(- y (* z t))
12.0ms
(/ x (- y (* z t)))

simplify41.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04953449
14953449

prune64.0ms

Filtered
36 candidates to 46 candidates (-27.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New41546
Fresh000
Picked011
Done000
Total41647

Merged error: 2.8b

Counts
47 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.1b
(/ 1 (- y (* z t)))
2.9b
(* x (/ 1 (- y (* z t))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r/
3×flip3-- associate-*l* associate-/r* flip-- associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 82
Calls
3 calls:
3.0ms
(- y (* z t))
5.0ms
(/ 1 (- y (* z t)))
9.0ms
(* x (/ 1 (- y (* z t))))

series31.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- y (* z t))
11.0ms
(/ 1 (- y (* z t)))
13.0ms
(* x (/ 1 (- y (* z t))))

simplify49.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04945801
14945801

prune80.0ms

Filtered
57 candidates to 91 candidates (-59.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New91091
Fresh044
Picked011
Done011
Total91697

Merged error: 2.8b

Counts
97 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.5b
(/ 1 (/ (- y (* z t)) x))
2.7b
(/ (- y (* z t)) x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub associate-/r/ inv-pow
Counts
3 → 117
Calls
3 calls:
3.0ms
(- y (* z t))
7.0ms
(/ 1 (/ (- y (* z t)) x))
5.0ms
(/ (- y (* z t)) x)

series43.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- y (* z t))
23.0ms
(/ 1 (/ (- y (* z t)) x))
13.0ms
(/ (- y (* z t)) x)

simplify56.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
057641562

prune102.0ms

Filtered
81 candidates to 126 candidates (-55.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1251126
Fresh123
Picked101
Done022
Total1275132

Merged error: 0.2b

Counts
132 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
6.7b
(cbrt (- y (* z t)))
6.7b
(cbrt (- y (* z t)))
6.7b
(cbrt (- y (* z t)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
15×add-exp-log
12×pow1
9×cbrt-prod add-sqr-sqrt add-cube-cbrt flip3-- pow-flip *-un-lft-identity pow1/3 flip--
8×associate-/r/
7×add-cbrt-cube
4×frac-times div-exp add-log-exp
3×times-frac prod-exp associate-/l*
2×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 frac-2neg pow-plus clear-num associate-/r* cbrt-unprod div-inv inv-pow
Counts
4 → 82
Calls
4 calls:
10.0ms
(/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
3.0ms
(cbrt (- y (* z t)))
2.0ms
(cbrt (- y (* z t)))
3.0ms
(cbrt (- y (* z t)))

series151.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
33.0ms
(cbrt (- y (* z t)))
33.0ms
(cbrt (- y (* z t)))
35.0ms
(cbrt (- y (* z t)))

simplify46.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04906993
14906993

prune95.0ms

Filtered
69 candidates to 94 candidates (-36.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New94094
Fresh022
Picked011
Done022
Total94599

Merged error: 0.2b

Counts
99 → 5

regimes513.0ms

Accuracy

74.8% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 2.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06931
16931

end0.0ms

sample418.0ms

Algorithm
intervals
Results
213.0ms8000×body80valid
9.0ms351×body80invalid

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