Details

Time bar (total: 2.3s)

analyze347.0ms

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
31.2%68.6%0.1%8
35.9%60.8%3.3%9
44.1%48%7.9%10
54.8%36.9%8.3%11
57.6%31.5%10.9%12
61.9%24%14.1%13
67.2%18.6%14.2%14

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms24×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0109
1109

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
3.8b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×sub-neg flip3-- associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
1×distribute-rgt-in distribute-lft-in distribute-lft-out-- difference-of-squares
Counts
2 → 44
Calls
2 calls:
6.0ms
(* (- 1.0 y) z)
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series16.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (- 1.0 y) z)
11.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify59.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04978432
14978432

prune95.0ms

Filtered
36 candidates to 50 candidates (-38.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New41950
Fresh000
Picked101
Done000
Total42951

Merged error: 3.9b

Counts
51 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x 1.0) (* x (* (- 1.0 y) (neg z))))
0.0b
(* (- 1.0 y) (neg z))
3.8b
(* x (* (- 1.0 y) (neg z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×associate-*r*
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
8×add-cube-cbrt associate-*l*
5×distribute-rgt-neg-out add-log-exp
4×pow-prod-down associate-*l/ prod-exp cbrt-unprod
3×distribute-lft-neg-in distribute-rgt-neg-in
2×flip3-- associate-*r/ *-commutative flip--
1×+-commutative neg-mul-1 flip3-+ unsub-neg sum-log flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 64
Calls
3 calls:
4.0ms
(+ (* x 1.0) (* x (* (- 1.0 y) (neg z))))
7.0ms
(* (- 1.0 y) (neg z))
8.0ms
(* x (* (- 1.0 y) (neg z)))

series28.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(+ (* x 1.0) (* x (* (- 1.0 y) (neg z))))
5.0ms
(* (- 1.0 y) (neg z))
9.0ms
(* x (* (- 1.0 y) (neg z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05296640

prune170.0ms

Filtered
51 candidates to 73 candidates (-43.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New69473
Fresh538
Picked011
Done000
Total74882

Merged error: 0.0b

Counts
82 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.9b
(* (- 1.0 y) (* z (neg (cbrt x))))
2.2b
(* (* (cbrt x) (cbrt x)) (* (- 1.0 y) (* z (neg (cbrt x)))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1 add-exp-log
24×add-cbrt-cube
18×pow-prod-down prod-exp cbrt-unprod
9×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-prod associate-*l*
5×distribute-rgt-neg-out
4×associate-*l/ add-log-exp
2×flip3-- pow1/3 associate-*r/ associate-*r* *-commutative flip--
1×distribute-lft-out-- difference-of-squares
Counts
4 → 76
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
8.0ms
(* (- 1.0 y) (* z (neg (cbrt x))))
14.0ms
(* (* (cbrt x) (cbrt x)) (* (- 1.0 y) (* z (neg (cbrt x)))))

series84.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
24.0ms
(cbrt x)
26.0ms
(* (- 1.0 y) (* z (neg (cbrt x))))
13.0ms
(* (* (cbrt x) (cbrt x)) (* (- 1.0 y) (* z (neg (cbrt x)))))

simplify40.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05099655

prune97.0ms

Filtered
55 candidates to 88 candidates (-60.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New87188
Fresh246
Picked101
Done011
Total90696

Merged error: 0.0b

Counts
96 → 6

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (pow (* (- 1.0 y) (* z (neg x))) 1))
2.3b
(* (- 1.0 y) (* z (neg x)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*l*
4×add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ distribute-rgt-neg-out
1×+-commutative flip3-- flip3-+ associate-*r* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 34
Calls
2 calls:
4.0ms
(+ (* x 1.0) (pow (* (- 1.0 y) (* z (neg x))) 1))
8.0ms
(* (- 1.0 y) (* z (neg x)))

series22.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(+ (* x 1.0) (pow (* (- 1.0 y) (* z (neg x))) 1))
9.0ms
(* (- 1.0 y) (* z (neg x)))

simplify49.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05073418

prune52.0ms

Filtered
29 candidates to 40 candidates (-37.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New39140
Fresh044
Picked011
Done011
Total39746

Merged error: 0b

Counts
46 → 7

regimes336.0ms

Accuracy

93% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06752
16752

end0.0ms

analyze276.0ms

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
31.2%68.6%0.1%8
35.9%60.8%3.3%9
44.1%48%7.9%10
54.8%36.9%8.3%11
57.6%31.5%10.9%12
61.9%24%14.1%13
67.2%18.6%14.2%14

sample401.0ms

Algorithm
intervals
Results
219.0ms8000×body80valid
20.0ms650×body80invalid

Profiling

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