Details

Time bar (total: 1.6s)

sample11.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
162

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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))

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:
5.0ms
(+ x (/ 1.0 3.0))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(+ x (/ 1.0 3.0))

simplify109.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
07755
120150
247550
3128250
4389350
5500250

prune21.0ms

Filtered
15 candidates to 11 candidates (73.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New12315
Fresh000
Picked011
Done000
Total12416

Merged error: 0.0b

Counts
16 → 4

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)))
5.0ms
(+ x (/ 1.0 3.0))
6.0ms
(+ x (/ 1.0 3.0))
18.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series87.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(sqrt (+ x (/ 1.0 3.0)))
21.0ms
(+ x (/ 1.0 3.0))
17.0ms
(+ x (/ 1.0 3.0))
18.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify38.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0224573
1883518
25001502

prune126.0ms

Filtered
114 candidates to 60 candidates (52.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh022
Picked011
Done011
Total1144118

Merged error: 0.0b

Counts
118 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))
0.5b
(pow (+ x (/ 1.0 3.0)) 3)
18.0b
(cbrt (pow (+ x (/ 1.0 3.0)) 3))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
14×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt
8×unpow-prod-down cube-prod
5×distribute-lft-out add-log-exp
4×pow1 add-exp-log cube-div add-cbrt-cube
3×pow-unpow flip3-+ flip-+
2×cube-mult cbrt-div unpow3 sqr-pow
1×+-commutative pow-to-exp pow-pow pow1/3 pow-exp sum-log rem-cbrt-cube rem-cube-cbrt
Counts
3 → 64
Calls
3 calls:
5.0ms
(+ x (/ 1.0 3.0))
6.0ms
(pow (+ x (/ 1.0 3.0)) 3)
6.0ms
(cbrt (pow (+ x (/ 1.0 3.0)) 3))

series62.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(+ x (/ 1.0 3.0))
26.0ms
(pow (+ x (/ 1.0 3.0)) 3)
19.0ms
(cbrt (pow (+ x (/ 1.0 3.0)) 3))

simplify37.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0204326
1877311
25001303

prune80.0ms

Filtered
73 candidates to 38 candidates (52.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New72173
Fresh011
Picked101
Done022
Total73477

Merged error: 0.0b

Counts
77 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)))
0.2b
(* (cbrt (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))))
0.3b
(cbrt (+ x (/ 1.0 3.0)))
15.2b
(cbrt (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-div
40×flip3-+ flip-+
36×frac-times
30×*-un-lft-identity
20×add-sqr-sqrt
18×associate-*l/
15×cbrt-prod
13×pow1
12×add-cube-cbrt associate-*r/
11×associate-*r*
8×add-exp-log associate-*l* distribute-lft-out
6×swap-sqr add-cbrt-cube
5×unswap-sqr
4×pow1/3 add-log-exp
3×pow-prod-down
2×prod-exp *-commutative cbrt-unprod
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow3 pow-sqr pow-prod-up
Counts
4 → 125
Calls
4 calls:
13.0ms
(* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)))
11.0ms
(* (cbrt (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))))
5.0ms
(cbrt (+ x (/ 1.0 3.0)))
14.0ms
(cbrt (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))))

series239.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)))
26.0ms
(* (cbrt (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))))
92.0ms
(cbrt (+ x (/ 1.0 3.0)))
103.0ms
(cbrt (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))))

simplify84.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
05461715
119341623
250011577

prune269.0ms

Filtered
137 candidates to 93 candidates (67.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1361137
Fresh011
Picked011
Done022
Total1365141

Merged error: 0b

Counts
141 → 5

regimes39.0ms

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
062
162

end0.0ms

sample204.0ms

Algorithm
intervals
Results
119.0ms8000×body80valid

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