Details

Time bar (total: 1.5s)

analyze67.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
12.5%87.4%0.1%4
31.2%68.7%0.1%5
43.7%56.2%0.1%6
56.2%40.6%3.2%7
64%29.7%6.3%8
71%20.3%8.7%9
75.3%15.2%9.5%10
79%10.1%10.8%11
81.3%7.7%11%12
83.2%5%11.8%13
84.4%3.8%11.8%14

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
0.0ms2×body80invalid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
03007
13007

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (+ x 1.0) y) x)
0.0b
(* (+ x 1.0) y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×sub-neg flip3-- flip3-+ diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 32
Calls
2 calls:
5.0ms
(- (* (+ x 1.0) y) x)
5.0ms
(* (+ x 1.0) y)

series9.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(- (* (+ x 1.0) y) x)
4.0ms
(* (+ x 1.0) y)

simplify43.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05065302

prune44.0ms

Filtered
25 candidates to 38 candidates (-52.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New36238
Fresh000
Picked011
Done000
Total36339

Merged error: 0.0b

Counts
39 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y)))
0.6b
(cbrt (* (+ x 1.0) y))
0.6b
(cbrt (* (+ x 1.0) y))
0.6b
(cbrt (* (+ x 1.0) y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
6.0ms
(* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y)))
4.0ms
(cbrt (* (+ x 1.0) y))
4.0ms
(cbrt (* (+ x 1.0) y))
4.0ms
(cbrt (* (+ x 1.0) y))

series79.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y)))
19.0ms
(cbrt (* (+ x 1.0) y))
17.0ms
(cbrt (* (+ x 1.0) y))
17.0ms
(cbrt (* (+ x 1.0) y))

simplify57.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05577977

prune154.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh011
Picked011
Done011
Total84387

Merged error: 0.0b

Counts
87 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.0b
(- (* (sqrt (+ x 1.0)) (* y (sqrt (+ x 1.0)))) x)
0.1b
(* y (sqrt (+ x 1.0)))
0.1b
(* (sqrt (+ x 1.0)) (* y (sqrt (+ x 1.0))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity sqrt-div
15×add-sqr-sqrt
13×sqrt-prod
12×pow1
11×add-exp-log add-cbrt-cube
10×add-cube-cbrt associate-*r/ associate-*l*
8×flip3-+ associate-*r* flip-+
6×add-log-exp
4×frac-times pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×associate-*l/ *-commutative unswap-sqr
1×sub-neg rem-sqrt-square flip3-- sqrt-pow1 pow1/2 diff-log flip--
Counts
4 → 82
Calls
4 calls:
3.0ms
(sqrt (+ x 1.0))
12.0ms
(- (* (sqrt (+ x 1.0)) (* y (sqrt (+ x 1.0)))) x)
7.0ms
(* y (sqrt (+ x 1.0)))
11.0ms
(* (sqrt (+ x 1.0)) (* y (sqrt (+ x 1.0))))

series24.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (+ x 1.0))
5.0ms
(- (* (sqrt (+ x 1.0)) (* y (sqrt (+ x 1.0)))) x)
11.0ms
(* y (sqrt (+ x 1.0)))
5.0ms
(* (sqrt (+ x 1.0)) (* y (sqrt (+ x 1.0))))

simplify35.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05030952

prune125.0ms

Filtered
65 candidates to 94 candidates (-44.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New93194
Fresh000
Picked101
Done112
Total95297

Merged error: 0b

Counts
97 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.2b
(cbrt (+ x 1.0))
0.2b
(cbrt (+ x 1.0))
0.2b
(cbrt (+ x 1.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
9.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
3.0ms
(cbrt (+ x 1.0))
3.0ms
(cbrt (+ x 1.0))
3.0ms
(cbrt (+ x 1.0))

series27.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
6.0ms
(cbrt (+ x 1.0))
6.0ms
(cbrt (+ x 1.0))
8.0ms
(cbrt (+ x 1.0))

simplify61.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
052221033

prune223.0ms

Filtered
71 candidates to 107 candidates (-50.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh000
Picked011
Done011
Total1072109

Merged error: 0b

Counts
109 → 2

regimes101.0ms

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
0187
1187

end0.0ms

sample307.0ms

Algorithm
intervals
Results
179.0ms7998×body80valid
2.0ms73×body80invalid
0.0ms1×body1280valid
0.0ms1×body320valid

Profiling

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