Details

Time bar (total: 1.2s)

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

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))

rewrite6.0ms

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:
6.0ms
(+ x (/ 1.0 3.0))

series2.0ms

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

simplify52.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04905108
14905108

prune22.0ms

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

localize5.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x (/ 1.0 3.0)))
0.0b
(+ x (/ 1.0 3.0))
0.0b
(+ x (/ 1.0 3.0))
0.2b
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
30×sqrt-prod
26×add-sqr-sqrt
20×pow1
14×sqrt-div
13×add-cube-cbrt
11×swap-sqr
9×sqrt-pow1 flip3-+ pow1/2 flip-+ distribute-lft-out
8×add-log-exp
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative associate-*r/ associate-*l/ sum-log
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
5.0ms
(sqrt (+ x (/ 1.0 3.0)))
8.0ms
(+ x (/ 1.0 3.0))
5.0ms
(+ x (/ 1.0 3.0))
15.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series10.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (+ x (/ 1.0 3.0)))
2.0ms
(+ x (/ 1.0 3.0))
2.0ms
(+ x (/ 1.0 3.0))
2.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify55.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04952998
14952998

prune118.0ms

Filtered
63 candidates to 114 candidates (-81.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh011
Picked011
Done011
Total1143117

Merged error: 0.0b

Counts
117 → 3

localize9.0ms

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))))
16.1b
(/ (- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0)))) (- x (/ 1.0 3.0)))

rewrite23.0ms

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))))
11.0ms
(/ (- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0)))) (- x (/ 1.0 3.0)))

series16.0ms

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))))
9.0ms
(/ (- (* 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

prune120.0ms

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

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New77178
Fresh000
Picked101
Done022
Total78381

Merged error: 0b

Counts
81 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0))))
0.5b
(pow (- x (/ 1.0 3.0)) 3)
16.1b
(/ (- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0)))) (cbrt (pow (- x (/ 1.0 3.0)) 3)))
20.8b
(cbrt (pow (- x (/ 1.0 3.0)) 3))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
108×add-sqr-sqrt
90×cbrt-prod
75×times-frac
72×*-un-lft-identity
48×add-cube-cbrt
36×unpow-prod-down cube-prod
24×difference-of-squares
21×associate-/r*
12×distribute-lft-out--
7×add-exp-log
6×cube-div cube-mult unpow3 add-cbrt-cube add-log-exp sqr-pow
5×pow1 flip3-- flip--
4×cbrt-div
3×pow-unpow associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv pow-to-exp sub-neg pow-pow frac-2neg pow1/3 diff-log div-sub div-exp pow-exp clear-num rem-cbrt-cube div-inv rem-cube-cbrt
Counts
4 → 175
Calls
4 calls:
4.0ms
(- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0))))
9.0ms
(pow (- x (/ 1.0 3.0)) 3)
16.0ms
(/ (- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0)))) (cbrt (pow (- x (/ 1.0 3.0)) 3)))
7.0ms
(cbrt (pow (- x (/ 1.0 3.0)) 3))

series23.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0))))
3.0ms
(pow (- x (/ 1.0 3.0)) 3)
12.0ms
(/ (- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0)))) (cbrt (pow (- x (/ 1.0 3.0)) 3)))
4.0ms
(cbrt (pow (- x (/ 1.0 3.0)) 3))

simplify63.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
050904030

prune216.0ms

Filtered
101 candidates to 187 candidates (-85.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1870187
Fresh000
Picked011
Done022
Total1873190

Merged error: 0b

Counts
190 → 3

regimes55.0ms

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

sample219.0ms

Algorithm
intervals
Results
133.0ms8000×body80valid

Profiling

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