Details

Time bar (total: 2.9s)

analyze403.0ms

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
0.0ms10×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
087
187

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.7b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
3.8b
(/ 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)))

simplify41.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05051450

prune69.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New40646
Fresh000
Picked011
Done000
Total40747

Merged error: 3.7b

Counts
47 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.4b
(/ 1 (- y (* z t)))
3.4b
(* x (/ 1 (- y (* z t))))

rewrite17.0ms

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:
2.0ms
(- y (* z t))
4.0ms
(/ 1 (- y (* z t)))
8.0ms
(* x (/ 1 (- y (* z t))))

series28.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(- y (* z t))
10.0ms
(/ 1 (- y (* z t)))
11.0ms
(* x (/ 1 (- y (* z t))))

simplify56.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04947802
14947802

prune95.0ms

Filtered
56 candidates to 91 candidates (-62.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New89291
Fresh145
Picked011
Done011
Total90898

Merged error: 3.7b

Counts
98 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (cbrt x) (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
9.5b
(cbrt (- y (* z t)))
9.5b
(cbrt (- y (* z t)))
9.5b
(cbrt (- y (* z t)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
15×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×add-exp-log flip3-- flip--
8×associate-/r/
6×times-frac associate-/l*
5×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×pow1/3
2×cbrt-undiv associate-*r/ div-exp associate-*l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 74
Calls
4 calls:
10.0ms
(/ (cbrt x) (* (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)))

series150.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(/ (cbrt x) (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
31.0ms
(cbrt (- y (* z t)))
31.0ms
(cbrt (- y (* z t)))
33.0ms
(cbrt (- y (* z t)))

simplify47.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
052791087

prune113.0ms

Filtered
72 candidates to 86 candidates (-19.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New86086
Fresh055
Picked011
Done022
Total86894

Merged error: 3.7b

Counts
94 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (- y (* z t)) 3)
0.6b
(/ 1 (pow (- y (* z t)) 3))
3.4b
(* x (cbrt (/ 1 (pow (- y (* z t)) 3))))
30.7b
(cbrt (/ 1 (pow (- y (* z t)) 3)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
116×times-frac
100×add-sqr-sqrt
93×cbrt-prod
82×*-un-lft-identity
78×add-cube-cbrt
45×associate-*r*
35×unpow-prod-down cube-prod
16×add-exp-log
13×sqr-pow
12×associate-/r*
11×cube-mult unpow3
10×unswap-sqr
8×cube-div add-cbrt-cube
7×pow1
6×div-exp associate-/r/
4×pow-to-exp flip3-- pow-exp flip-- add-log-exp
3×rec-exp pow-unpow 1-exp associate-*l* div-inv associate-/l*
2×cbrt-div
1×cbrt-undiv pow-flip pow-pow frac-2neg pow1/3 associate-*r/ pow-prod-down prod-exp clear-num *-commutative cbrt-unprod inv-pow rem-cube-cbrt
Counts
4 → 221
Calls
4 calls:
3.0ms
(pow (- y (* z t)) 3)
6.0ms
(/ 1 (pow (- y (* z t)) 3))
17.0ms
(* x (cbrt (/ 1 (pow (- y (* z t)) 3))))
6.0ms
(cbrt (/ 1 (pow (- y (* z t)) 3)))

series69.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(pow (- y (* z t)) 3)
22.0ms
(/ 1 (pow (- y (* z t)) 3))
13.0ms
(* x (cbrt (/ 1 (pow (- y (* z t)) 3))))
12.0ms
(cbrt (/ 1 (pow (- y (* z t)) 3)))

simplify58.0ms

Algorithm
egg-herbie
Counts
233 → 233
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
050123107

prune225.0ms

Filtered
118 candidates to 233 candidates (-97.5%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New2330233
Fresh044
Picked011
Done033
Total2338241

Merged error: 3.7b

Counts
241 → 8

regimes503.0ms

Accuracy

0% (0.1b remaining)

Error of 2.9b against oracle of 2.8b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087
187

end0.0ms

analyze395.0ms

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

sample435.0ms

Algorithm
intervals
Results
230.0ms8000×body80valid
9.0ms350×body80invalid

Profiling

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