Details

Time bar (total: 2.8s)

analyze327.0ms

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
9.4%90.5%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
37.8%60.5%1.7%9
40%56%4%10
47.3%48.7%4%11
56.8%36.2%7%12
58.6%32.4%9%13
63.4%27.5%9%14

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
1.0ms28×body80invalid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
056667

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* x (/ z y)))
5.2b
(* x (/ z y))

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 sub-neg flip3-- diff-log associate-*r/ div-exp pow-prod-down *-commutative flip-- div-inv
Counts
2 → 43
Calls
2 calls:
2.0ms
(- x (* x (/ z y)))
6.0ms
(* x (/ z y))

series11.0ms

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

simplify47.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05340377

prune69.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New42749
Fresh101
Picked011
Done000
Total43851

Merged error: 0b

Counts
51 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
3.8b
(* (* x (* (cbrt z) (cbrt z))) (/ (cbrt z) y))

rewrite18.0ms

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 z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
12.0ms
(* (* x (* (cbrt z) (cbrt z))) (/ (cbrt z) y))

series72.0ms

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

simplify53.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04954557
14954557

prune83.0ms

Filtered
57 candidates to 92 candidates (-61.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh066
Picked011
Done011
Total928100

Merged error: 0b

Counts
100 → 8

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))) (/ z (cbrt y)))

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 y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
14.0ms
(* (/ x (* (cbrt y) (cbrt y))) (/ z (cbrt y)))

series84.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt y)
21.0ms
(cbrt y)
32.0ms
(cbrt y)
11.0ms
(* (/ x (* (cbrt y) (cbrt y))) (/ z (cbrt y)))

simplify66.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04945758
14945758

prune112.0ms

Filtered
72 candidates to 104 candidates (-44.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1040104
Fresh055
Picked011
Done022
Total1048112

Merged error: 0b

Counts
112 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ (* x z) y))
7.2b
(/ (* x z) y)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
6×add-sqr-sqrt *-un-lft-identity
4×add-cube-cbrt add-log-exp
3×times-frac associate-/r*
2×pow1 cbrt-undiv div-exp
1×sub-neg flip3-- frac-2neg diff-log prod-exp clear-num flip-- cbrt-unprod div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
2 → 34
Calls
2 calls:
4.0ms
(- x (/ (* x z) y))
4.0ms
(/ (* x z) y)

series11.0ms

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

simplify58.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
06014321

prune33.0ms

Filtered
25 candidates to 40 candidates (-60.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New39140
Fresh224
Picked011
Done123
Total42648

Merged error: 0b

Counts
48 → 6

regimes203.0ms

Accuracy

38.8% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 3.2b

bsearch691.0ms

Steps
ItersRangePoint
8
1.7295119703747968e-105
7.393515733843278e-101
2.4414954577939568e-101
9
6.576038144856394e-227
3.814251137829367e-219
6.682347414053394e-227
9
-2.5628809394204437e-225
-5.680753953279106e-232
-8.191532183294032e-231
6
-5.412667693086007e+62
-3.478191969605978e+61
-2.1522502826004935e+62

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03058
13058

end0.0ms

analyze315.0ms

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
9.4%90.5%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
37.8%60.5%1.7%9
40%56%4%10
47.3%48.7%4%11
56.8%36.2%7%12
58.6%32.4%9%13
63.4%27.5%9%14

sample392.0ms

Algorithm
intervals
Results
199.0ms8000×body80valid
24.0ms740×body80invalid

Profiling

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