Details

Time bar (total: 3.1s)

analyze665.0ms

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
0%99.9%0.1%7
0%99.9%0.1%8
12.5%85.8%1.7%9
16.4%79.2%4.4%10
20.7%72.4%7%11
32.6%53.3%14.1%12
36%45.5%18.5%13
38.3%41.1%20.6%14

sample27.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
5.0ms107×body80invalid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
0510013

prune10.0ms

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

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ y (* (+ x z) (/ (- x z) y)))
0.2b
(* (+ x z) (/ (- x z) y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
20×*-un-lft-identity
19×associate-*r*
16×times-frac
12×add-cube-cbrt
7×add-exp-log add-cbrt-cube
4×pow1 associate-*l* add-log-exp
3×flip3-+ flip-+ distribute-lft-out-- difference-of-squares
2×frac-times associate-*l/ prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative associate-*r/ div-exp pow-prod-down sum-log *-commutative div-inv distribute-lft-out
Counts
2 → 54
Calls
2 calls:
4.0ms
(+ y (* (+ x z) (/ (- x z) y)))
11.0ms
(* (+ x z) (/ (- x z) y))

series22.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ y (* (+ x z) (/ (- x z) y)))
11.0ms
(* (+ x z) (/ (- x z) y))

simplify35.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
04970722
14970722

prune85.0ms

Filtered
41 candidates to 60 candidates (-46.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New54660
Fresh101
Picked011
Done000
Total55762

Merged error: 0.0b

Counts
62 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ (- x z) y)) (cbrt (/ (- x z) y)))
3.8b
(cbrt (/ (- x z) y))
3.8b
(cbrt (/ (- x z) y))
3.8b
(cbrt (/ (- x z) y))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
157×cbrt-prod
141×add-sqr-sqrt
135×*-un-lft-identity
123×times-frac
75×add-cube-cbrt
28×swap-sqr
27×distribute-lft-out--
22×associate-*r* associate-*l*
21×difference-of-squares
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 186
Calls
4 calls:
20.0ms
(* (cbrt (/ (- x z) y)) (cbrt (/ (- x z) y)))
4.0ms
(cbrt (/ (- x z) y))
4.0ms
(cbrt (/ (- x z) y))
4.0ms
(cbrt (/ (- x z) y))

series138.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (cbrt (/ (- x z) y)) (cbrt (/ (- x z) y)))
30.0ms
(cbrt (/ (- x z) y))
29.0ms
(cbrt (/ (- x z) y))
34.0ms
(cbrt (/ (- x z) y))

simplify77.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
051062875

prune210.0ms

Filtered
144 candidates to 198 candidates (-37.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1962198
Fresh235
Picked011
Done011
Total1987205

Merged error: 0b

Counts
205 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.6b
(cbrt (- x z))
3.8b
(cbrt (/ (- x z) y))
3.8b
(cbrt (/ (- x z) y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
46×cbrt-prod
38×add-sqr-sqrt *-un-lft-identity
30×times-frac
24×add-cube-cbrt
7×distribute-lft-out-- difference-of-squares
4×pow1 add-exp-log cbrt-div pow1/3 add-cbrt-cube add-log-exp
2×div-inv
1×flip3-- flip--
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt y)
3.0ms
(cbrt (- x z))
4.0ms
(cbrt (/ (- x z) y))
4.0ms
(cbrt (/ (- x z) y))

series110.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt y)
25.0ms
(cbrt (- x z))
29.0ms
(cbrt (/ (- x z) y))
32.0ms
(cbrt (/ (- x z) y))

simplify56.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05373951

prune121.0ms

Filtered
72 candidates to 94 candidates (-30.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New94094
Fresh044
Picked011
Done022
Total947101

Merged error: 0b

Counts
101 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.6b
(cbrt (- x z))
0.6b
(cbrt (- x z))
3.8b
(cbrt (/ (- x z) y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
26×add-sqr-sqrt *-un-lft-identity
16×add-cube-cbrt
15×times-frac
5×cbrt-div distribute-lft-out-- difference-of-squares
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×flip3-- flip--
1×div-inv
Counts
4 → 69
Calls
4 calls:
1.0ms
(cbrt y)
3.0ms
(cbrt (- x z))
3.0ms
(cbrt (- x z))
4.0ms
(cbrt (/ (- x z) y))

series104.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
25.0ms
(cbrt (- x z))
25.0ms
(cbrt (- x z))
33.0ms
(cbrt (/ (- x z) y))

simplify79.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05373719

prune92.0ms

Filtered
62 candidates to 81 candidates (-30.6%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New81081
Fresh033
Picked011
Done033
Total81788

Merged error: 0b

Counts
88 → 7

regimes294.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02313
12313

end0.0ms

sample732.0ms

Algorithm
intervals
Results
358.0ms8000×body80valid
135.0ms2889×body80invalid

Profiling

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