Details

Time bar (total: 2.5s)

analyze361.0ms

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

sample27.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (112.0ms)

IterNodesCost
051987

prune9.0ms

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)))
6.2b
(* x (/ y z))

rewrite14.0ms

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)))
9.0ms
(* x (/ y z))

series11.0ms

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

simplify59.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04979371
14979371

prune73.0ms

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: 0.0b

Counts
51 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

1.4b
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
11.6b
(cbrt (/ y z))
11.6b
(cbrt (/ y z))
11.6b
(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:
25.0ms
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
12.0ms
(cbrt (/ y z))
13.0ms
(cbrt (/ y z))
15.0ms
(cbrt (/ y z))

simplify39.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05027774

prune117.0ms

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

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New991100
Fresh178
Picked011
Done011
Total10010110

Merged error: 0.0b

Counts
110 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
1.4b
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
11.6b
(cbrt (/ y z))
11.6b
(cbrt (/ y z))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-prod
21×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
18×times-frac
9×pow1 add-exp-log
7×add-cbrt-cube
6×cbrt-div
4×associate-*r/ add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 77
Calls
4 calls:
1.0ms
(cbrt y)
11.0ms
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))

series70.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
24.0ms
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
12.0ms
(cbrt (/ y z))
12.0ms
(cbrt (/ y z))

simplify55.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05172633

prune106.0ms

Filtered
67 candidates to 89 candidates (-32.8%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New89089
Fresh077
Picked011
Done022
Total891099

Merged error: 0.0b

Counts
99 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.7b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×add-cube-cbrt *-un-lft-identity associate-*r*
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
14.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series76.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt z)
21.0ms
(cbrt z)
21.0ms
(cbrt z)
10.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify72.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04951801
14951801

prune94.0ms

Filtered
73 candidates to 104 candidates (-42.5%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1031104
Fresh066
Picked011
Done033
Total10311114

Merged error: 0b

Counts
114 → 11

regimes347.0ms

Accuracy

86.3% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.5b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04271
14271

end0.0ms

sample689.0ms

Algorithm
intervals
Results
178.0ms8000×body80valid

Profiling

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