Details

Time bar (total: 2.4s)

analyze439.0ms

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

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms9×body80invalid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
01257
11257

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.4b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
3.4b
(/ 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)))

series17.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(- y (* z t))
11.0ms
(/ x (- y (* z t)))

simplify40.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04953449
14953449

prune75.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New39746
Fresh000
Picked011
Done000
Total39847

Merged error: 3.3b

Counts
47 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.2b
(/ 1 (- y (* z t)))
3.5b
(* 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))
4.0ms
(/ 1 (- y (* z t)))
8.0ms
(* x (/ 1 (- y (* z t))))

series27.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- y (* z t))
10.0ms
(/ 1 (- y (* z t)))
11.0ms
(* x (/ 1 (- y (* z t))))

simplify50.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04945801
14945801

prune95.0ms

Filtered
55 candidates to 91 candidates (-65.5%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New89291
Fresh066
Picked011
Done011
Total891099

Merged error: 3.3b

Counts
99 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 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)))

rewrite21.0ms

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:
12.0ms
(/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
2.0ms
(cbrt (- y (* z t)))
2.0ms
(cbrt (- y (* z t)))
2.0ms
(cbrt (- y (* z t)))

series140.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
33.0ms
(cbrt (- y (* z t)))
31.0ms
(cbrt (- y (* z t)))
31.0ms
(cbrt (- y (* z t)))

simplify44.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04906993
14906993

prune117.0ms

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

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New94094
Fresh077
Picked011
Done022
Total9410104

Merged error: 3.3b

Counts
104 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.7b
(/ (cbrt x) (- y (* z t)))
1.9b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
38×times-frac
34×add-cube-cbrt *-un-lft-identity
28×cbrt-prod
24×associate-*r*
18×add-exp-log
11×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod associate-/l*
4×associate-/r/ add-log-exp
3×cbrt-undiv div-exp pow-prod-down associate-/r* unswap-sqr
2×flip3-- pow1/3 flip-- div-inv
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 110
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
5.0ms
(/ (cbrt x) (- y (* z t)))
14.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

series87.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt x)
23.0ms
(cbrt x)
29.0ms
(/ (cbrt x) (- y (* z t)))
15.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

simplify51.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
050191247

prune90.0ms

Filtered
86 candidates to 122 candidates (-41.9%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1220122
Fresh066
Picked011
Done033
Total12210132

Merged error: 3.3b

Counts
132 → 10

regimes535.0ms

Accuracy

0% (0.1b remaining)

Error of 3.0b against oracle of 2.9b and baseline of 3.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0347
1347

end0.0ms

sample432.0ms

Algorithm
intervals
Results
213.0ms8000×body80valid
11.0ms349×body80invalid

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