Details

Time bar (total: 1.7s)

analyze268.0ms

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
12.5%87.4%0.1%7
18.7%81.1%0.1%8
36.7%60.8%2.5%9
43.3%49.9%6.8%10
49.7%40.8%9.5%11
58.2%30.2%11.6%12
61.3%24.4%14.3%13
65%19.8%15.3%14

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms19×body80invalid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
03007
13007

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r*
4×pow1 add-exp-log add-cube-cbrt sub-neg add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 37
Calls
2 calls:
3.0ms
(+ x (* y (- z x)))
8.0ms
(* y (- z x))

series22.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ x (* y (- z x)))
14.0ms
(* y (- z x))

simplify50.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04949327
14949327

prune48.0ms

Filtered
29 candidates to 43 candidates (-48.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New40343
Fresh000
Picked011
Done000
Total40444

Merged error: 0.0b

Counts
44 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
3.6b
(cbrt (* y (- z x)))
3.6b
(cbrt (* y (- z x)))
3.6b
(cbrt (* y (- z x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
6.0ms
(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
4.0ms
(cbrt (* y (- z x)))
4.0ms
(cbrt (* y (- z x)))
4.0ms
(cbrt (* y (- z x)))

series164.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
34.0ms
(cbrt (* y (- z x)))
46.0ms
(cbrt (* y (- z x)))
38.0ms
(cbrt (* y (- z x)))

simplify42.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05690794

prune114.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh022
Picked011
Done011
Total84488

Merged error: 0.0b

Counts
88 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (- z x))
0.2b
(* (sqrt (* y (- z x))) (sqrt (* y (- z x))))
2.7b
(sqrt (* y (- z x)))
2.7b
(sqrt (* y (- z x)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×add-sqr-sqrt sqrt-div
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-- associate-*r* flip--
8×add-exp-log add-cbrt-cube
7×associate-*l*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
2×sub-neg associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out-- difference-of-squares
Counts
4 → 107
Calls
4 calls:
6.0ms
(* y (- z x))
12.0ms
(* (sqrt (* y (- z x))) (sqrt (* y (- z x))))
4.0ms
(sqrt (* y (- z x)))
4.0ms
(sqrt (* y (- z x)))

series68.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* y (- z x))
28.0ms
(* (sqrt (* y (- z x))) (sqrt (* y (- z x))))
17.0ms
(sqrt (* y (- z x)))
16.0ms
(sqrt (* y (- z x)))

simplify30.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
04965893
14965893

prune87.0ms

Filtered
69 candidates to 119 candidates (-72.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1190119
Fresh011
Picked011
Done022
Total1194123

Merged error: 0.0b

Counts
123 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (sqrt y) (* (- z x) (sqrt y))))
0.1b
(* (- z x) (sqrt y))
0.2b
(* (sqrt y) (* (- z x) (sqrt y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
11×associate-*l*
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
8×add-cube-cbrt
7×associate-*r* sqrt-prod
5×add-log-exp
4×pow-prod-down associate-*l/ prod-exp cbrt-unprod
2×flip3-- associate-*r/ *-commutative flip-- unswap-sqr
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 60
Calls
3 calls:
3.0ms
(+ x (* (sqrt y) (* (- z x) (sqrt y))))
7.0ms
(* (- z x) (sqrt y))
9.0ms
(* (sqrt y) (* (- z x) (sqrt y)))

series30.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ x (* (sqrt y) (* (- z x) (sqrt y))))
9.0ms
(* (- z x) (sqrt y))
10.0ms
(* (sqrt y) (* (- z x) (sqrt y)))

simplify39.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04999574
14999574

prune56.0ms

Filtered
49 candidates to 69 candidates (-40.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New68169
Fresh000
Picked101
Done033
Total69473

Merged error: 0b

Counts
73 → 4

regimes189.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0187
1187

end0.0ms

sample371.0ms

Algorithm
intervals
Results
193.0ms8000×body80valid
13.0ms561×body80invalid

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