Details

Time bar (total: 1.9s)

analyze354.0ms

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

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
1.0ms21×body80invalid

simplify121.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (119.0ms)

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)))
5.3b
(* x (/ y z))

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 +-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)))
6.0ms
(* x (/ y z))

series14.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ x (* x (/ y z)))
8.0ms
(* x (/ y z))

simplify61.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04979371
14979371

prune67.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New44549
Fresh011
Picked011
Done000
Total44751

Merged error: 0.0b

Counts
51 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

1.0b
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
13.0b
(cbrt (/ y z))
13.0b
(cbrt (/ y z))
13.0b
(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))

series68.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
15.0ms
(cbrt (/ y z))
13.0ms
(cbrt (/ y z))
13.0ms
(cbrt (/ y z))

simplify37.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05027774

prune108.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New991100
Fresh145
Picked011
Done011
Total1007107

Merged error: 0.0b

Counts
107 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (cbrt (/ y z)) x) (cbrt (/ y z)))
13.0b
(cbrt (/ y z))
13.0b
(cbrt (/ y z))
13.0b
(cbrt (/ y z))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-prod
36×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-*r*
9×pow1 add-exp-log
7×cbrt-div
6×add-cbrt-cube
4×div-inv add-log-exp
3×pow1/3 pow-prod-down associate-*l/ prod-exp cbrt-unprod
1×frac-times associate-*r/ associate-*l* *-commutative
Counts
4 → 100
Calls
4 calls:
10.0ms
(* (* (cbrt (/ y z)) x) (cbrt (/ y z)))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))

series78.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (* (cbrt (/ y z)) x) (cbrt (/ y z)))
13.0ms
(cbrt (/ y z))
15.0ms
(cbrt (/ y z))
13.0ms
(cbrt (/ y z))

simplify42.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050251015

prune103.0ms

Filtered
85 candidates to 112 candidates (-31.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1120112
Fresh044
Picked011
Done022
Total1127119

Merged error: 0.0b

Counts
119 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
11.0b
(/ (* x (+ y z)) z)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
4×pow1 associate-*r/ associate-*r*
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
5.0ms
(* x (+ y z))
6.0ms
(/ (* x (+ y z)) z)

series14.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* x (+ y z))
8.0ms
(/ (* x (+ y z)) z)

simplify53.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04994376
14994376

prune41.0ms

Filtered
35 candidates to 52 candidates (-48.6%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New50252
Fresh303
Picked011
Done033
Total53659

Merged error: 0b

Counts
59 → 6

regimes228.0ms

Accuracy

25.8% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 3.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02235
12235

end0.0ms

sample407.0ms

Algorithm
intervals
Results
206.0ms8000×body80valid
17.0ms677×body80invalid

Profiling

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