Details

Time bar (total: 3.1s)

analyze391.0ms

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
25%74.9%0.1%7
31.2%68.6%0.1%8
35.9%64%0.1%9
47.6%49.9%2.5%10
49.1%46.8%4%11
51.1%44.1%4.8%12
60.2%29.9%9.9%13
60.6%27.9%11.6%14

sample25.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
2.0ms54×body80invalid

simplify123.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0275
1765
21685
32645
43545
54425
69125
724305
850015

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.0b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
13.6b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
7.0ms
(* (* z z) (+ z 1.0))
10.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series21.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* (* z z) (+ z 1.0))
15.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify64.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0380385
12326297
25001297

prune92.0ms

Filtered
33 candidates to 57 candidates (-72.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New50757
Fresh000
Picked101
Done000
Total51758

Merged error: 8.0b

Counts
58 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.5b
(* (/ x (* z z)) (/ y (+ z 1.0)))
11.2b
(/ x (* z z))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 107
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
15.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
5.0ms
(/ x (* z z))

series26.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ y (+ z 1.0))
14.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
6.0ms
(/ x (* z z))

simplify69.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0523706
12630610
25002610

prune175.0ms

Filtered
78 candidates to 116 candidates (-48.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1088116
Fresh516
Picked101
Done000
Total1149123

Merged error: 0.1b

Counts
123 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite13.0ms

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:
7.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series101.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (cbrt x) (cbrt x))
23.0ms
(cbrt x)
23.0ms
(cbrt x)
25.0ms
(cbrt x)

simplify79.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune113.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New81485
Fresh178
Picked101
Done000
Total831194

Merged error: 0.0b

Counts
94 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series96.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
25.0ms
(cbrt x)
23.0ms
(cbrt x)
24.0ms
(cbrt x)

simplify130.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 4 (25.0ms)

IterNodesCost
059204
1101188
2205148
3559144
42708128
55002128

prune82.0ms

Filtered
44 candidates to 56 candidates (-27.3%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New55156
Fresh01010
Picked011
Done000
Total551267

Merged error: 0.0b

Counts
67 → 12

regimes349.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01916
11916

end0.0ms

analyze440.0ms

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
25%74.9%0.1%7
31.2%68.6%0.1%8
35.9%64%0.1%9
47.6%49.9%2.5%10
49.1%46.8%4%11
51.1%44.1%4.8%12
60.2%29.9%9.9%13
60.6%27.9%11.6%14

sample588.0ms

Algorithm
intervals
Results
309.0ms8000×body80valid
61.0ms1564×body80invalid

Profiling

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