Details

Time bar (total: 1.6s)

analyze60.0ms

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
0%99.9%0.1%4
25%74.9%0.1%5
37.5%62.4%0.1%6
50%37.5%12.6%7
56.2%31.2%12.6%8
62.4%18.7%18.8%9
65.6%15.6%18.8%10
68.7%9.4%22%11
70.2%7.8%22%12
71.8%4.7%23.5%13
72.6%3.9%23.5%14

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
0.0ms5×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0167
1167

prune7.0ms

Filtered
1 candidates to 1 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 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x y) (- 1.0 y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt sub-neg associate-*r/
1×distribute-rgt-in flip3-- distribute-lft-in associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 24
Calls
1 calls:
7.0ms
(* (* x y) (- 1.0 y))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(* (* x y) (- 1.0 y))

simplify33.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05603220

prune37.0ms

Filtered
15 candidates to 27 candidates (-80.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New24327
Fresh011
Picked011
Done000
Total24529

Merged error: 0.0b

Counts
29 → 5

localize4.0ms

Local error

Found 1 expressions with local error:

3.8b
(* x (* y (- 1.0 y)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×flip3-- associate-*r* *-commutative flip-- add-log-exp
Counts
1 → 24
Calls
1 calls:
7.0ms
(* x (* y (- 1.0 y)))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(* x (* y (- 1.0 y)))

simplify36.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
04997227
14997227

prune27.0ms

Filtered
12 candidates to 27 candidates (-125.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New27027
Fresh033
Picked011
Done011
Total27532

Merged error: 0.0b

Counts
32 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (sqrt (- 1.0 y)))
0.1b
(* (* x (* y (sqrt (- 1.0 y)))) (sqrt (- 1.0 y)))
0.8b
(* x (* y (sqrt (- 1.0 y))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
19×pow1 add-exp-log add-cbrt-cube
17×add-sqr-sqrt associate-*r*
16×sqrt-div
13×*-un-lft-identity
11×sqrt-prod
10×pow-prod-down prod-exp cbrt-unprod
9×add-cube-cbrt
8×flip3-- flip--
7×associate-*l*
4×frac-times
3×*-commutative add-log-exp
2×associate-*l/ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 80
Calls
3 calls:
7.0ms
(* y (sqrt (- 1.0 y)))
13.0ms
(* (* x (* y (sqrt (- 1.0 y)))) (sqrt (- 1.0 y)))
7.0ms
(* x (* y (sqrt (- 1.0 y))))

series25.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* y (sqrt (- 1.0 y)))
7.0ms
(* (* x (* y (sqrt (- 1.0 y)))) (sqrt (- 1.0 y)))
12.0ms
(* x (* y (sqrt (- 1.0 y))))

simplify42.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04979962
14979962

prune140.0ms

Filtered
54 candidates to 89 candidates (-64.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New86389
Fresh022
Picked011
Done022
Total86894

Merged error: 0.0b

Counts
94 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (sqrt (- 1.0 y)))
0.1b
(cbrt (sqrt (- 1.0 y)))
0.1b
(* (cbrt (sqrt (- 1.0 y))) (cbrt (sqrt (- 1.0 y))))
2.4b
(* x (* y (* (sqrt (- 1.0 y)) (* (cbrt (sqrt (- 1.0 y))) (cbrt (sqrt (- 1.0 y)))))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
70×sqrt-div
68×cbrt-prod associate-*r/
55×add-sqr-sqrt
52×cbrt-div
42×sqrt-prod
39×*-un-lft-identity
35×flip3-- flip--
32×frac-times
25×pow1
21×add-cube-cbrt
20×add-exp-log
16×add-cbrt-cube
15×swap-sqr
14×associate-*l*
12×associate-*r* pow-prod-down
11×prod-exp cbrt-unprod
10×associate-*l/
9×unswap-sqr
8×pow1/3 distribute-lft-out--
6×difference-of-squares
4×add-log-exp
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 158
Calls
4 calls:
4.0ms
(cbrt (sqrt (- 1.0 y)))
4.0ms
(cbrt (sqrt (- 1.0 y)))
14.0ms
(* (cbrt (sqrt (- 1.0 y))) (cbrt (sqrt (- 1.0 y))))
24.0ms
(* x (* y (* (sqrt (- 1.0 y)) (* (cbrt (sqrt (- 1.0 y))) (cbrt (sqrt (- 1.0 y)))))))

series46.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (sqrt (- 1.0 y)))
6.0ms
(cbrt (sqrt (- 1.0 y)))
6.0ms
(* (cbrt (sqrt (- 1.0 y))) (cbrt (sqrt (- 1.0 y))))
27.0ms
(* x (* y (* (sqrt (- 1.0 y)) (* (cbrt (sqrt (- 1.0 y))) (cbrt (sqrt (- 1.0 y)))))))

simplify81.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049522521
149522521

prune421.0ms

Filtered
109 candidates to 170 candidates (-56.0%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1700170
Fresh044
Picked011
Done033
Total1708178

Merged error: 0.0b

Counts
178 → 8

regimes173.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087
187

end0.0ms

analyze59.0ms

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
0%99.9%0.1%4
25%74.9%0.1%5
37.5%62.4%0.1%6
50%37.5%12.6%7
56.2%31.2%12.6%8
62.4%18.7%18.8%9
65.6%15.6%18.8%10
68.7%9.4%22%11
70.2%7.8%22%12
71.8%4.7%23.5%13
72.6%3.9%23.5%14

sample293.0ms

Algorithm
intervals
Results
173.0ms8000×body80valid
4.0ms181×body80invalid

Profiling

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