Details

Time bar (total: 2.2s)

analyze214.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%74.9%25.1%3
0%74.9%25.1%4
0%62.4%37.6%5
0%56.2%43.8%6
7.8%48.4%43.8%7
12.5%40.6%47%8
18.3%33.2%48.5%9
25.2%26.3%48.5%10
29.7%21%49.3%11
32.6%17.7%49.7%12
36.7%13.6%49.7%13
39.4%10.7%49.9%14

sample19.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
0.0ms4×body80nan
0.0ms2×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0138
1138

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log y)) z)
0.0b
(- (- (* x (log y)) z) y)
0.3b
(* x (log y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
19×associate--l+
18×log-prod
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
10×add-log-exp
9×distribute-rgt-in distribute-lft-in
6×pow1
5×add-exp-log add-cbrt-cube
4×diff-log associate-*r*
3×sub-neg associate-*l*
2×flip3-- flip--
1×associate--l- pow-prod-down prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 64
Calls
3 calls:
4.0ms
(- (* x (log y)) z)
8.0ms
(- (- (* x (log y)) z) y)
5.0ms
(* x (log y))

series30.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(- (* x (log y)) z)
9.0ms
(- (- (* x (log y)) z) y)
9.0ms
(* x (log y))

simplify46.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05513594

prune88.0ms

Filtered
52 candidates to 73 candidates (-40.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New68573
Fresh000
Picked011
Done000
Total68674

Merged error: 0.0b

Counts
74 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt y)))
0.3b
(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod
18×cbrt-prod add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
12×distribute-rgt-in associate-+r+ distribute-lft-in
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 78
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
8.0ms
(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series98.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* x (log (cbrt y)))
23.0ms
(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
24.0ms
(cbrt y)
29.0ms
(cbrt y)

simplify63.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04838592
14838592

prune109.0ms

Filtered
61 candidates to 90 candidates (-47.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New88290
Fresh134
Picked101
Done011
Total90696

Merged error: 0b

Counts
96 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (pow y 1/3)))
0.3b
(+ (* x (* (log (cbrt y)) 2)) (* x (log (pow y 1/3))))
0.6b
(cbrt y)
5.1b
(pow y 1/3)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
28×log-prod
19×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
15×unpow-prod-down
14×distribute-rgt-in associate-+r+ distribute-lft-in
7×pow1 add-exp-log
6×add-cbrt-cube add-log-exp
5×sqr-pow
4×associate-*r*
3×cbrt-prod pow-unpow associate-*l*
1×+-commutative pow-to-exp pow-pow flip3-+ unpow1/3 pow1/3 pow-prod-down pow-exp prod-exp sum-log log-pow *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 88
Calls
4 calls:
6.0ms
(* x (log (pow y 1/3)))
11.0ms
(+ (* x (* (log (cbrt y)) 2)) (* x (log (pow y 1/3))))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series99.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* x (log (pow y 1/3)))
30.0ms
(+ (* x (* (log (cbrt y)) 2)) (* x (log (pow y 1/3))))
25.0ms
(cbrt y)
23.0ms
(pow y 1/3)

simplify37.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05133625

prune131.0ms

Filtered
69 candidates to 100 candidates (-44.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1000100
Fresh044
Picked011
Done011
Total1006106

Merged error: 0b

Counts
106 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series105.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (cbrt y) (cbrt y))
24.0ms
(cbrt y)
27.0ms
(cbrt y)
24.0ms
(cbrt y)

simplify56.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05084341

prune80.0ms

Filtered
50 candidates to 85 candidates (-70.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done022
Total85691

Merged error: 0b

Counts
91 → 6

regimes262.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
188

end0.0ms

analyze198.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%74.9%25.1%3
0%74.9%25.1%4
0%62.4%37.6%5
0%56.2%43.8%6
7.8%48.4%43.8%7
12.5%40.6%47%8
18.3%33.2%48.5%9
25.2%26.3%48.5%10
29.7%21%49.3%11
32.6%17.7%49.7%12
36.7%13.6%49.7%13
39.4%10.7%49.9%14

sample463.0ms

Algorithm
intervals
Results
297.0ms7999×body80valid
1.0ms40×body80invalid
1.0ms39×body80nan
0.0ms1×body640valid

Profiling

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