Details

Time bar (total: 2.5s)

sample9.0ms

Algorithm
intervals
Results
4.0ms256×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
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))

series17.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(+ x (/ 1.0 3.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08261
121855
253255
3151455
4500155

prune32.0ms

Filtered
20 candidates to 16 candidates (80.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New18220
Fresh000
Picked011
Done000
Total18321

Merged error: 0.0b

Counts
21 → 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))))

rewrite36.0ms

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))
15.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series84.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(sqrt (+ x (/ 1.0 3.0)))
16.0ms
(+ x (/ 1.0 3.0))
17.0ms
(+ x (/ 1.0 3.0))
21.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify44.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0236599
1925537
25002521

prune168.0ms

Filtered
130 candidates to 77 candidates (59.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1282130
Fresh101
Picked011
Done011
Total1294133

Merged error: 0b

Counts
133 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (sqrt (+ x (/ 1.0 3.0))))
0.1b
(cbrt (sqrt (+ x (/ 1.0 3.0))))
0.5b
(* (pow (cbrt (sqrt (+ x (/ 1.0 3.0)))) 4) (cbrt (sqrt (+ x (/ 1.0 3.0)))))
0.7b
(pow (cbrt (sqrt (+ x (/ 1.0 3.0)))) 4)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
51×cbrt-prod
46×add-sqr-sqrt
29×unpow-prod-down *-un-lft-identity
28×sqrt-prod
19×add-cube-cbrt
15×unswap-sqr
14×associate-*l*
10×add-exp-log associate-*r*
6×pow1 cbrt-div sqrt-div
5×add-cbrt-cube distribute-lft-out sqr-pow
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow flip3-+ pow1/3 prod-exp flip-+
2×pow-to-exp pow-pow associate-*r/ pow-exp
1×pow-plus *-commutative pow-prod-up cbrt-unprod
Counts
4 → 122
Calls
4 calls:
6.0ms
(cbrt (sqrt (+ x (/ 1.0 3.0))))
6.0ms
(cbrt (sqrt (+ x (/ 1.0 3.0))))
22.0ms
(* (pow (cbrt (sqrt (+ x (/ 1.0 3.0)))) 4) (cbrt (sqrt (+ x (/ 1.0 3.0)))))
8.0ms
(pow (cbrt (sqrt (+ x (/ 1.0 3.0)))) 4)

series445.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(cbrt (sqrt (+ x (/ 1.0 3.0))))
87.0ms
(cbrt (sqrt (+ x (/ 1.0 3.0))))
127.0ms
(* (pow (cbrt (sqrt (+ x (/ 1.0 3.0)))) 4) (cbrt (sqrt (+ x (/ 1.0 3.0)))))
142.0ms
(pow (cbrt (sqrt (+ x (/ 1.0 3.0)))) 4)

simplify73.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05701447
121341328
250011287

prune306.0ms

Filtered
134 candidates to 93 candidates (69.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1331134
Fresh101
Picked101
Done022
Total1353138

Merged error: 0b

Counts
138 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (sqrt (+ x (/ 1.0 3.0))))
0.1b
(cbrt (sqrt (+ x (/ 1.0 3.0))))
0.5b
(* (pow (sqrt (+ x (/ 1.0 3.0))) 4/3) (cbrt (sqrt (+ x (/ 1.0 3.0)))))
1.6b
(pow (sqrt (+ x (/ 1.0 3.0))) 4/3)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
29×cbrt-prod
27×*-un-lft-identity sqrt-prod
20×unpow-prod-down
17×add-cube-cbrt
12×unswap-sqr
11×associate-*l*
10×add-exp-log associate-*r*
6×pow1 cbrt-div sqrt-div
5×add-cbrt-cube distribute-lft-out sqr-pow
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow pow-pow flip3-+ pow1/3 prod-exp flip-+
2×pow-to-exp associate-*r/ pow-exp
1×sqrt-pow1 pow1/2 *-commutative pow-prod-up sqrt-pow2 cbrt-unprod
Counts
4 → 114
Calls
4 calls:
11.0ms
(cbrt (sqrt (+ x (/ 1.0 3.0))))
6.0ms
(cbrt (sqrt (+ x (/ 1.0 3.0))))
18.0ms
(* (pow (sqrt (+ x (/ 1.0 3.0))) 4/3) (cbrt (sqrt (+ x (/ 1.0 3.0)))))
8.0ms
(pow (sqrt (+ x (/ 1.0 3.0))) 4/3)

series480.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(cbrt (sqrt (+ x (/ 1.0 3.0))))
90.0ms
(cbrt (sqrt (+ x (/ 1.0 3.0))))
134.0ms
(* (pow (sqrt (+ x (/ 1.0 3.0))) 4/3) (cbrt (sqrt (+ x (/ 1.0 3.0)))))
167.0ms
(pow (sqrt (+ x (/ 1.0 3.0))) 4/3)

simplify62.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05451313
120011240
250021153

prune289.0ms

Filtered
126 candidates to 90 candidates (71.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1260126
Fresh000
Picked011
Done022
Total1263129

Merged error: 0b

Counts
129 → 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

sample217.0ms

Algorithm
intervals
Results
128.0ms8000×body80valid

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