Details

Time bar (total: 1.7s)

analyze356.0ms

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
1.0ms24×body80invalid

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (112.0ms)

IterNodesCost
051987

prune12.0ms

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: 0.0b

Counts
2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* x (/ y z)))
5.4b
(* 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))

series11.0ms

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

simplify59.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04979371
14979371

prune62.0ms

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

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.8b
(* x (* (cbrt y) (/ (cbrt y) (* (cbrt z) (cbrt z)))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
11×add-cbrt-cube
9×pow1 cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3 associate-*l* pow-prod-down
2×cbrt-undiv associate-*r/ div-exp
1×associate-*r* *-commutative
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
10.0ms
(* x (* (cbrt y) (/ (cbrt y) (* (cbrt z) (cbrt z)))))

series90.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
21.0ms
(cbrt y)
27.0ms
(* x (* (cbrt y) (/ (cbrt y) (* (cbrt z) (cbrt z)))))

simplify28.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
05124437

prune75.0ms

Filtered
46 candidates to 68 candidates (-47.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh055
Picked011
Done011
Total68775

Merged error: 0.0b

Counts
75 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (* x y) (/ 1 z)))
5.4b
(* (* x y) (/ 1 z))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
14×add-cbrt-cube
13×associate-*r*
12×prod-exp
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
7×pow1
6×cbrt-unprod
4×div-exp add-log-exp
3×pow-prod-down
2×cbrt-undiv rec-exp 1-exp
1×+-commutative flip3-+ associate-*r/ associate-*l* sum-log un-div-inv *-commutative flip-+ div-inv
Counts
2 → 49
Calls
2 calls:
3.0ms
(+ x (* (* x y) (/ 1 z)))
7.0ms
(* (* x y) (/ 1 z))

series11.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ x (* (* x y) (/ 1 z)))
5.0ms
(* (* x y) (/ 1 z))

simplify50.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05008397

prune52.0ms

Filtered
30 candidates to 55 candidates (-83.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New55055
Fresh044
Picked011
Done022
Total55762

Merged error: 0.0b

Counts
62 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
10.9b
(/ (* 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)

series15.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* x (+ y z))
9.0ms
(/ (* x (+ y z)) z)

simplify52.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04994376
14994376

prune42.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New50252
Fresh123
Picked101
Done123
Total53659

Merged error: 0b

Counts
59 → 6

regimes179.0ms

Accuracy

16.2% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 3.2b

bsearch27.0ms

Steps
ItersRangePoint
9
-3.374822364956172e-196
-7.290738827275243e-203
-7.401115730235809e-203
6
-7.73976528852798e-12
-1.2643084278131688e-12
-2.4193787838886472e-12

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02731
12731

end0.0ms

sample418.0ms

Algorithm
intervals
Results
212.0ms8000×body80valid
18.0ms735×body80invalid

Profiling

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