Details

Time bar (total: 2.2s)

sample8.0ms

Algorithm
intervals
Results
3.0ms256×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 (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))

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(+ x (/ 1.0 3.0))

simplify92.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
07255
118350
241550
3112050
4325250
5500250

prune18.0ms

Filtered
15 candidates to 11 candidates (26.7%)
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))
0.1b
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

rewrite38.0ms

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)))
9.0ms
(+ 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))))

series92.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(sqrt (+ x (/ 1.0 3.0)))
18.0ms
(+ x (/ 1.0 3.0))
18.0ms
(+ x (/ 1.0 3.0))
19.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify38.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0218573
1856518
25001502

prune126.0ms

Filtered
114 candidates to 61 candidates (46.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1131114
Fresh011
Picked101
Done011
Total1143117

Merged error: 0b

Counts
117 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (sqrt (+ x (/ 1.0 3.0))))
0.0b
(sqrt (sqrt (+ x (/ 1.0 3.0))))
0.1b
(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0)))))
0.1b
(* (sqrt (+ x (/ 1.0 3.0))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
287×sqrt-prod
219×add-sqr-sqrt
122×sqrt-div
91×sqrt-pow1
78×unswap-sqr
72×associate-*r*
69×pow1 *-un-lft-identity
58×swap-sqr
47×pow1/2
39×pow-prod-up
35×add-cube-cbrt flip3-+ flip-+
32×frac-times
27×associate-*l*
16×associate-*r/
15×distribute-lft-out
12×pow-prod-down
11×add-exp-log pow-sqr add-cbrt-cube
10×associate-*l/
7×*-commutative
4×rem-sqrt-square prod-exp cbrt-unprod add-log-exp
3×sqrt-unprod
1×pow2 pow-plus rem-square-sqrt
Counts
4 → 298
Calls
4 calls:
6.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
6.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
19.0ms
(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0)))))
47.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))))

series245.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
93.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
33.0ms
(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0)))))
26.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))))

simplify111.0ms

Algorithm
egg-herbie
Counts
310 → 310
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
06442503
128472192
250022171

prune315.0ms

Filtered
310 candidates to 116 candidates (62.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New3100310
Fresh011
Picked011
Done011
Total3103313

Merged error: 0b

Counts
313 → 3

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)))
13.9b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
1459×add-sqr-sqrt
613×times-frac
470×difference-of-squares
270×*-un-lft-identity
232×unswap-sqr
168×swap-sqr
112×*-commutative
95×distribute-lft-out--
64×add-cube-cbrt
53×associate-/l*
32×associate-*l*
7×add-log-exp
6×associate-/r*
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
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 → 471
Calls
3 calls:
6.0ms
(- x (/ 1.0 3.0))
43.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
60.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

series181.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(- x (/ 1.0 3.0))
49.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
107.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

simplify137.0ms

Algorithm
egg-herbie
Counts
480 → 480
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
08196765
126746554
250026541

prune287.0ms

Filtered
480 candidates to 130 candidates (72.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New4800480
Fresh000
Picked011
Done022
Total4803483

Merged error: 0b

Counts
483 → 3

regimes23.0ms

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

sample190.0ms

Algorithm
intervals
Results
104.0ms8000×body80valid