Details

Time bar (total: 2.2s)

analyze388.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
23.8%74.5%1.7%9
40%56%4%10
47.3%48.7%4%11
48.4%45.8%5.8%12
58.6%32.4%9%13
63.4%27.5%9%14

sample19.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms26×body80invalid

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (112.0ms)

IterNodesCost
051987

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* x (/ y z)))
7.4b
(* x (/ y z))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv
Counts
2 → 43
Calls
2 calls:
3.0ms
(+ x (* x (/ y z)))
6.0ms
(* x (/ y z))

series11.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ x (* x (/ y z)))
5.0ms
(* x (/ y z))

simplify60.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04979371
14979371

prune81.0ms

Filtered
34 candidates to 49 candidates (-44.1%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New41849
Fresh011
Picked011
Done000
Total411051

Merged error: 0b

Counts
51 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.9b
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
14.6b
(cbrt (/ y z))
14.6b
(cbrt (/ y z))
14.6b
(cbrt (/ y z))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×add-sqr-sqrt times-frac
26×add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log
7×cbrt-div add-cbrt-cube
4×associate-*r/ add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 88
Calls
4 calls:
9.0ms
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))

series64.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
12.0ms
(cbrt (/ y z))
12.0ms
(cbrt (/ y z))
13.0ms
(cbrt (/ y z))

simplify40.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05027774

prune125.0ms

Filtered
77 candidates to 100 candidates (-29.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1000100
Fresh088
Picked011
Done011
Total10010110

Merged error: 0b

Counts
110 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

7.4b
(* x (/ y z))
14.1b
(cbrt (* x (/ y z)))
14.1b
(cbrt (* x (/ y z)))
14.1b
(cbrt (* x (/ y z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1
4×associate-*r/ add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 62
Calls
4 calls:
6.0ms
(* x (/ y z))
3.0ms
(cbrt (* x (/ y z)))
4.0ms
(cbrt (* x (/ y z)))
4.0ms
(cbrt (* x (/ y z)))

series63.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* x (/ y z))
21.0ms
(cbrt (* x (/ y z)))
19.0ms
(cbrt (* x (/ y z)))
19.0ms
(cbrt (* x (/ y z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05006506

prune89.0ms

Filtered
54 candidates to 74 candidates (-37.0%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New74074
Fresh077
Picked011
Done022
Total741084

Merged error: 0b

Counts
84 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
4.5b
(* (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) z))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
6×pow-prod-down
4×add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 80
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
14.0ms
(* (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) z))

series72.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt y)
21.0ms
(cbrt y)
21.0ms
(cbrt y)
8.0ms
(* (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) z))

simplify73.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
04955584
14955584

prune71.0ms

Filtered
55 candidates to 92 candidates (-67.3%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New92092
Fresh066
Picked011
Done033
Total9210102

Merged error: 0b

Counts
102 → 10

regimes317.0ms

Accuracy

47.4% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 3.2b

bsearch20.0ms

Steps
ItersRangePoint
7
2.406838407513002e-103
2.443220483002967e-101
2.3321824048372046e-101
4
-1.315617868379877e+49
-6.99197753207321e+48
-7.161731230796641e+48

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02625
12625

end0.0ms

sample421.0ms

Algorithm
intervals
Results
214.0ms8000×body80valid
19.0ms748×body80invalid

Profiling

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