Details

Time bar (total: 1.4s)

analyze75.0ms

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

sample16.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
0.0ms3×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1247

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

localize5.0ms

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:
6.0ms
(- (* (+ x 1.0) y) x)
5.0ms
(* (+ x 1.0) y)

series9.0ms

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

simplify43.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04904302
14904302

prune46.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New35338
Fresh000
Picked011
Done000
Total35439

Merged error: 0b

Counts
39 → 4

localize9.0ms

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))

series25.0ms

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))
6.0ms
(cbrt (+ x 1.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
055161063

prune181.0ms

Filtered
77 candidates to 107 candidates (-39.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh022
Picked011
Done011
Total1074111

Merged error: 0b

Counts
111 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series91.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt y) (cbrt y))
21.0ms
(cbrt y)
24.0ms
(cbrt y)
21.0ms
(cbrt y)

simplify40.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05084341

prune64.0ms

Filtered
50 candidates to 85 candidates (-70.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh011
Picked011
Done022
Total85489

Merged error: 0b

Counts
89 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x 1.0) y)
0.0b
(sqrt (* (+ x 1.0) y))
0.0b
(sqrt (* (+ x 1.0) y))
0.2b
(* (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*l/
16×sqrt-div
14×add-sqr-sqrt
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-+ flip-+
8×add-exp-log associate-*l* add-cbrt-cube
7×associate-*r*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
2×associate-*r/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out
Counts
4 → 104
Calls
4 calls:
5.0ms
(* (+ x 1.0) y)
4.0ms
(sqrt (* (+ x 1.0) y))
4.0ms
(sqrt (* (+ x 1.0) y))
12.0ms
(* (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)))

series41.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (+ x 1.0) y)
12.0ms
(sqrt (* (+ x 1.0) y))
12.0ms
(sqrt (* (+ x 1.0) y))
13.0ms
(* (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05199839

prune120.0ms

Filtered
67 candidates to 116 candidates (-73.1%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1160116
Fresh000
Picked011
Done033
Total1164120

Merged error: 0b

Counts
120 → 4

regimes120.0ms

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
087
187

end0.0ms

analyze66.0ms

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

sample284.0ms

Algorithm
intervals
Results
168.0ms7997×body80valid
1.0ms75×body80invalid
0.0ms3×body1280valid

Profiling

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