Details

Time bar (total: 1.4s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
162

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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))

series2.0ms

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

simplify125.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
07755
120150
247550
3128250
4389350
5500250

prune26.0ms

Filtered
15 candidates to 11 candidates (26.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New12315
Fresh000
Picked011
Done000
Total12416

Merged error: 0.0b

Counts
16 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1.0 3.0))
0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
12.6b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
30×times-frac
27×*-un-lft-identity
20×difference-of-squares
15×add-cube-cbrt
7×add-log-exp
6×associate-/r* distribute-lft-out--
5×add-exp-log add-cbrt-cube
4×flip3-- flip-- associate-/l*
3×pow1
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 79
Calls
3 calls:
6.0ms
(- x (/ 1.0 3.0))
3.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
11.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 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 3.0) (/ 1.0 3.0)))
7.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0326889
11404804
25002791

prune129.0ms

Filtered
88 candidates to 67 candidates (23.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New87188
Fresh202
Picked011
Done011
Total89392

Merged error: 0b

Counts
92 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (sqrt x) (sqrt (/ 1.0 3.0)))
0.3b
(/ 1 (+ (sqrt x) (sqrt (/ 1.0 3.0))))
2.1b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- (sqrt x) (sqrt (/ 1.0 3.0))))
4.9b
(* (/ 1 (+ (sqrt x) (sqrt (/ 1.0 3.0)))) (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- (sqrt x) (sqrt (/ 1.0 3.0)))))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
213×add-sqr-sqrt
145×times-frac
126×*-un-lft-identity
104×sqrt-prod
83×difference-of-squares
56×add-cube-cbrt
50×associate-*r*
32×add-exp-log
21×associate-*l*
20×add-cbrt-cube distribute-lft-out--
16×associate-/r*
14×distribute-lft-out
11×div-exp
8×prod-exp associate-/r/
7×pow1 associate-/l*
6×cbrt-undiv add-log-exp unswap-sqr
4×flip3-- flip-- cbrt-unprod div-inv
3×rec-exp 1-exp
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×frac-times sub-neg pow-flip diff-log div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 238
Calls
4 calls:
9.0ms
(- (sqrt x) (sqrt (/ 1.0 3.0)))
11.0ms
(/ 1 (+ (sqrt x) (sqrt (/ 1.0 3.0))))
17.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- (sqrt x) (sqrt (/ 1.0 3.0))))
42.0ms
(* (/ 1 (+ (sqrt x) (sqrt (/ 1.0 3.0)))) (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- (sqrt x) (sqrt (/ 1.0 3.0)))))

series45.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- (sqrt x) (sqrt (/ 1.0 3.0)))
7.0ms
(/ 1 (+ (sqrt x) (sqrt (/ 1.0 3.0))))
13.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- (sqrt x) (sqrt (/ 1.0 3.0))))
21.0ms
(* (/ 1 (+ (sqrt x) (sqrt (/ 1.0 3.0)))) (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- (sqrt x) (sqrt (/ 1.0 3.0)))))

simplify57.0ms

Algorithm
egg-herbie
Counts
250 → 250
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010534123
150013715

prune490.0ms

Filtered
250 candidates to 142 candidates (43.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2500250
Fresh000
Picked011
Done022
Total2503253

Merged error: 0b

Counts
253 → 3

regimes54.0ms

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

sample246.0ms

Algorithm
intervals
Results
124.0ms8000×body80valid

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