Details

Time bar (total: 1.9s)

analyze243.0ms

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
12.5%87.4%0.1%7
31.2%68.6%0.1%8
39%57.7%3.3%9
47.6%46%6.4%10
58.1%35.5%6.4%11
62.2%29.1%8.7%12
66.2%22.7%11.1%13
71.3%17.6%11.1%14

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms18×body80invalid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
02857
12857

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.4b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* y z))
2.3b
(* x (- 1.0 (* y z)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×sub-neg associate-*r* associate-*l*
2×flip3-- associate-*r/ flip--
1×distribute-rgt-in distribute-lft-in diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
3.0ms
(- 1.0 (* y z))
5.0ms
(* x (- 1.0 (* y z)))

series14.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(- 1.0 (* y z))
10.0ms
(* x (- 1.0 (* y z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04951327
14951327

prune74.0ms

Filtered
27 candidates to 39 candidates (-44.4%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New291039
Fresh000
Picked101
Done000
Total301040

Merged error: 2.2b

Counts
40 → 10

localize7.0ms

Local error

Found 1 expressions with local error:

5.4b
(* x (* y (neg z)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity distribute-rgt-neg-out
1×associate-*r* *-commutative add-log-exp
Counts
1 → 19
Calls
1 calls:
5.0ms
(* x (* y (neg z)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* x (* y (neg z)))

simplify40.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05566141

prune39.0ms

Filtered
13 candidates to 22 candidates (-69.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New19322
Fresh549
Picked011
Done000
Total24832

Merged error: 0.0b

Counts
32 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.9b
(* y (* z (neg (cbrt x))))
3.1b
(* (* (cbrt x) (cbrt x)) (* y (* z (neg (cbrt x)))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1 add-exp-log
24×add-cbrt-cube
18×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod
5×distribute-rgt-neg-out
4×associate-*l* add-log-exp
2×pow1/3 associate-*r* *-commutative
Counts
4 → 70
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
6.0ms
(* y (* z (neg (cbrt x))))
14.0ms
(* (* (cbrt x) (cbrt x)) (* y (* z (neg (cbrt x)))))

series72.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
21.0ms
(cbrt x)
20.0ms
(* y (* z (neg (cbrt x))))
10.0ms
(* (* (cbrt x) (cbrt x)) (* y (* z (neg (cbrt x)))))

simplify45.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05052498

prune78.0ms

Filtered
49 candidates to 82 candidates (-67.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New81182
Fresh066
Picked011
Done011
Total81990

Merged error: 0b

Counts
90 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.8b
(* (cbrt x) (neg (* z (cbrt y))))
3.1b
(* (* (cbrt x) (cbrt x)) (* (* (cbrt y) (cbrt y)) (* (cbrt x) (neg (* z (cbrt y))))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1 add-exp-log
32×pow-prod-down prod-exp cbrt-unprod
24×add-cbrt-cube
13×add-sqr-sqrt
10×cbrt-prod
9×add-cube-cbrt *-un-lft-identity
7×associate-*r* associate-*l*
4×distribute-rgt-neg-out add-log-exp
2×pow1/3 *-commutative unswap-sqr
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
Counts
4 → 89
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
5.0ms
(* (cbrt x) (neg (* z (cbrt y))))
16.0ms
(* (* (cbrt x) (cbrt x)) (* (* (cbrt y) (cbrt y)) (* (cbrt x) (neg (* z (cbrt y))))))

series78.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
22.0ms
(cbrt x)
24.0ms
(* (cbrt x) (neg (* z (cbrt y))))
11.0ms
(* (* (cbrt x) (cbrt x)) (* (* (cbrt y) (cbrt y)) (* (cbrt x) (neg (* z (cbrt y))))))

simplify43.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05079878

prune68.0ms

Filtered
58 candidates to 101 candidates (-74.1%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1010101
Fresh066
Picked011
Done022
Total1019110

Merged error: 0b

Counts
110 → 9

regimes517.0ms

Accuracy

88.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08931
18931

end0.0ms

sample361.0ms

Algorithm
intervals
Results
189.0ms8000×body80valid
12.0ms545×body80invalid

Profiling

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