Details

Time bar (total: 1.3s)

analyze2.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
75%25%0%3
87.5%12.5%0%4
93.7%6.2%0%5
96.8%3.1%0%6
98.4%1.6%0%7
99.2%0.8%0%8
99.6%0.4%0%9
99.8%0.2%0%10
99.9%0.1%0%11
99.9%0%0%12
99.9%0%0%13
99.9%0%0%14

sample9.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
065
165

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
10.0ms
(+ x (/ 1.0 3.0))

series2.0ms

Counts
1 → 3
Calls
1 calls:
2.0ms
(+ x (/ 1.0 3.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04905108
14905108

prune21.0ms

Filtered
11 candidates to 15 candidates (-36.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13215
Fresh000
Picked011
Done000
Total13316

Merged error: 0.0b

Counts
16 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x (/ 1.0 3.0)))
0.3b
(cbrt (+ x (/ 1.0 3.0)))
0.3b
(cbrt (+ x (/ 1.0 3.0)))
0.7b
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
8.0ms
(cbrt (+ x (/ 1.0 3.0)))
5.0ms
(cbrt (+ x (/ 1.0 3.0)))
6.0ms
(cbrt (+ x (/ 1.0 3.0)))
15.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))

series25.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (+ x (/ 1.0 3.0)))
6.0ms
(cbrt (+ x (/ 1.0 3.0)))
6.0ms
(cbrt (+ x (/ 1.0 3.0)))
7.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))

simplify52.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
048981337
148981337

prune182.0ms

Filtered
71 candidates to 107 candidates (-50.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1061107
Fresh011
Picked101
Done011
Total1073110

Merged error: 0.0b

Counts
110 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1.0 3.0))
0.0b
(- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0))))
11.9b
(/ (- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0)))) (- x (/ 1.0 3.0)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
24×*-un-lft-identity
23×times-frac
14×add-cube-cbrt
10×difference-of-squares
7×add-log-exp
6×associate-/r*
5×add-exp-log add-cbrt-cube distribute-lft-out--
4×flip3-- flip--
3×pow1 associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 69
Calls
3 calls:
6.0ms
(- x (/ 1.0 3.0))
4.0ms
(- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0))))
13.0ms
(/ (- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0)))) (- x (/ 1.0 3.0)))

series13.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(- x (/ 1.0 3.0))
4.0ms
(- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0))))
7.0ms
(/ (- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0)))) (- x (/ 1.0 3.0)))

simplify41.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
053041489

prune118.0ms

Filtered
61 candidates to 78 candidates (-27.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New76278
Fresh101
Picked101
Done011
Total78381

Merged error: 0b

Counts
81 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x (/ x (- x (/ 1.0 3.0)))) (* (/ 1.0 (* 3.0 3.0)) (/ 1.0 (- x (/ 1.0 3.0)))))
0.1b
(* x (/ x (- x (/ 1.0 3.0))))
0.1b
(/ x (- x (/ 1.0 3.0)))
0.2b
(* (/ 1.0 (* 3.0 3.0)) (/ 1.0 (- x (/ 1.0 3.0))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
103×add-sqr-sqrt
72×times-frac
58×*-un-lft-identity
48×associate-*r*
38×add-cube-cbrt
32×add-exp-log add-cbrt-cube
20×difference-of-squares
10×associate-*l* prod-exp cbrt-unprod distribute-lft-out--
9×cbrt-undiv div-exp
8×pow1 associate-*r/
6×associate-/r* associate-/r/ add-log-exp unswap-sqr
4×flip3-- flip-- div-inv
3×frac-sub associate-/l*
2×frac-times pow-prod-down associate-*l/ *-commutative
1×sub-neg frac-2neg diff-log clear-num sub-div
Counts
4 → 158
Calls
4 calls:
12.0ms
(- (* x (/ x (- x (/ 1.0 3.0)))) (* (/ 1.0 (* 3.0 3.0)) (/ 1.0 (- x (/ 1.0 3.0)))))
13.0ms
(* x (/ x (- x (/ 1.0 3.0))))
8.0ms
(/ x (- x (/ 1.0 3.0)))
19.0ms
(* (/ 1.0 (* 3.0 3.0)) (/ 1.0 (- x (/ 1.0 3.0))))

series16.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (* x (/ x (- x (/ 1.0 3.0)))) (* (/ 1.0 (* 3.0 3.0)) (/ 1.0 (- x (/ 1.0 3.0)))))
3.0ms
(* x (/ x (- x (/ 1.0 3.0))))
3.0ms
(/ x (- x (/ 1.0 3.0)))
2.0ms
(* (/ 1.0 (* 3.0 3.0)) (/ 1.0 (- x (/ 1.0 3.0))))

simplify61.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
051522435

prune272.0ms

Filtered
125 candidates to 170 candidates (-36.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1700170
Fresh011
Picked011
Done011
Total1703173

Merged error: 0b

Counts
173 → 3

regimes49.0ms

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
065
165

end0.0ms

sample214.0ms

Algorithm
intervals
Results
129.0ms8000×body80valid

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