Details

Time bar (total: 3.0s)

sample9.0ms

Algorithm
intervals
Results
3.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
162

prune4.0ms

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
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 17
Calls
1 calls:
6.0ms
(+ x (/ 1.0 3.0))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(+ x (/ 1.0 3.0))

simplify107.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
07761
119855
247255
3133155
4428655
5500155

prune30.0ms

Filtered
20 candidates to 16 candidates (20.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New17320
Fresh000
Picked011
Done000
Total17421

Merged error: 0b

Counts
21 → 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))
0.1b
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
33×add-sqr-sqrt
30×sqrt-prod
20×pow1
15×add-cube-cbrt
14×sqrt-div
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 fma-def add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u frac-times log1p-expm1-u unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative associate-*r/ associate-*l/ sum-log hypot-def
1×pow2 rem-sqrt-square times-frac pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 118
Calls
4 calls:
6.0ms
(sqrt (+ x (/ 1.0 3.0)))
6.0ms
(+ x (/ 1.0 3.0))
6.0ms
(+ x (/ 1.0 3.0))
16.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series96.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(sqrt (+ x (/ 1.0 3.0)))
19.0ms
(+ x (/ 1.0 3.0))
23.0ms
(+ x (/ 1.0 3.0))
20.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify42.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0230599
1896537
25001521

prune162.0ms

Filtered
130 candidates to 76 candidates (41.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1291130
Fresh112
Picked101
Done011
Total1313134

Merged error: 0b

Counts
134 → 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))))))

rewrite101.0ms

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×expm1-log1p-u rem-sqrt-square prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×sqrt-unprod
1×pow2 pow-plus rem-square-sqrt
Counts
4 → 306
Calls
4 calls:
7.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
7.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
20.0ms
(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0)))))
48.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))))

series247.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
91.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
34.0ms
(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0)))))
27.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))))

simplify109.0ms

Algorithm
egg-herbie
Counts
318 → 318
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
06592569
129162243
250022214

prune338.0ms

Filtered
318 candidates to 124 candidates (61.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New3180318
Fresh011
Picked011
Done011
Total3183321

Merged error: 0b

Counts
321 → 3

localize8.0ms

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)))

rewrite305.0ms

Algorithm
rewrite-expression-head
Rules
2452×add-sqr-sqrt
1240×times-frac
985×*-un-lft-identity
779×add-cube-cbrt
759×prod-diff
510×swap-sqr
470×difference-of-squares
374×associate-*l*
342×associate-*r*
341×unswap-sqr
176×*-commutative
95×distribute-lft-out--
64×div-inv
53×associate-/l*
18×fma-neg
7×add-log-exp
6×associate-/r*
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 expm1-log1p-u log1p-expm1-u
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num
Counts
3 → 1254
Calls
3 calls:
12.0ms
(- x (/ 1.0 3.0))
58.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
102.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

series176.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(- x (/ 1.0 3.0))
47.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
105.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

simplify307.0ms

Algorithm
egg-herbie
Counts
1263 → 1263
Iterations

Useful iterations: 1 (50.0ms)

IterNodesCost
0286431005
1500124217

prune700.0ms

Filtered
1263 candidates to 271 candidates (78.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New126301263
Fresh000
Picked011
Done022
Total126331266

Merged error: 0b

Counts
1266 → 3

regimes22.0ms

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

sample186.0ms

Algorithm
intervals
Results
103.0ms8000×body80valid