Details

Time bar (total: 2.0s)

sample31.0ms

Algorithm
intervals
Results
8.0ms278×body80valid
7.0ms268×body80nan

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
02258
12258

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
add-log-exp
associate-*r*
add-cube-cbrt *-un-lft-identity
pow1 add-exp-log sqrt-prod add-cbrt-cube
associate-*l*
associate-+l+ sum-log unswap-sqr
+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+
Counts
2 → 37
Calls
2 calls:
6.0ms
(+ (- 1.0 x) (* y (sqrt x)))
5.0ms
(* y (sqrt x))

series14.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (- 1.0 x) (* y (sqrt x)))
7.0ms
(* y (sqrt x))

simplify43.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04928366
14928366

prune71.0ms

Filtered
32 candidates to 43 candidates (-34.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New36743
Fresh000
Picked011
Done000
Total36844

Merged error: 0.0b

Counts
44 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.1b
(sqrt (sqrt x))
0.2b
(* y (sqrt (sqrt x)))
0.3b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
sqrt-pow1
rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
unswap-sqr
*-commutative
Counts
4 → 88
Calls
4 calls:
2.0ms
(sqrt (sqrt x))
2.0ms
(sqrt (sqrt x))
6.0ms
(* y (sqrt (sqrt x)))
9.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series49.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (sqrt x))
15.0ms
(sqrt (sqrt x))
10.0ms
(* y (sqrt (sqrt x)))
7.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify57.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05020626

prune98.0ms

Filtered
56 candidates to 100 candidates (-78.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New982100
Fresh336
Picked011
Done011
Total1017108

Merged error: 0b

Counts
108 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (* y (sqrt (fabs (cbrt x)))) (sqrt (sqrt (cbrt x)))) (sqrt (sqrt x)))
0.4b
(* (* y (sqrt (fabs (cbrt x)))) (sqrt (sqrt (cbrt x))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
24×sqrt-prod
21×associate-*r*
18×pow1 add-exp-log add-cbrt-cube
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
cbrt-prod pow-prod-down prod-exp cbrt-unprod
add-log-exp
pow1/3 associate-*l* *-commutative
Counts
4 → 76
Calls
4 calls:
13.0ms
(* (* (* y (sqrt (fabs (cbrt x)))) (sqrt (sqrt (cbrt x)))) (sqrt (sqrt x)))
11.0ms
(* (* y (sqrt (fabs (cbrt x)))) (sqrt (sqrt (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series112.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (* (* y (sqrt (fabs (cbrt x)))) (sqrt (sqrt (cbrt x)))) (sqrt (sqrt x)))
31.0ms
(* (* y (sqrt (fabs (cbrt x)))) (sqrt (sqrt (cbrt x))))
22.0ms
(cbrt x)
23.0ms
(cbrt x)

simplify33.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
05095962

prune104.0ms

Filtered
54 candidates to 88 candidates (-63.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New88088
Fresh044
Picked011
Done022
Total88795

Merged error: 0b

Counts
95 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* y (* (sqrt (sqrt x)) (fabs (cbrt (sqrt x))))) (sqrt (cbrt (sqrt x))))
0.4b
(* (sqrt (sqrt x)) (fabs (cbrt (sqrt x))))
0.6b
(cbrt (sqrt x))
0.6b
(cbrt (sqrt x))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
30×sqrt-prod
22×add-sqr-sqrt
18×cbrt-prod
16×add-cube-cbrt *-un-lft-identity
15×pow1 add-exp-log associate-*r* add-cbrt-cube
10×associate-*l*
pow-prod-down prod-exp cbrt-unprod
add-log-exp
unswap-sqr
pow1/3 *-commutative
Counts
4 → 84
Calls
4 calls:
12.0ms
(* (* y (* (sqrt (sqrt x)) (fabs (cbrt (sqrt x))))) (sqrt (cbrt (sqrt x))))
6.0ms
(* (sqrt (sqrt x)) (fabs (cbrt (sqrt x))))
2.0ms
(cbrt (sqrt x))
2.0ms
(cbrt (sqrt x))

series74.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* y (* (sqrt (sqrt x)) (fabs (cbrt (sqrt x))))) (sqrt (cbrt (sqrt x))))
19.0ms
(* (sqrt (sqrt x)) (fabs (cbrt (sqrt x))))
19.0ms
(cbrt (sqrt x))
16.0ms
(cbrt (sqrt x))

simplify53.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
050531044

prune96.0ms

Filtered
62 candidates to 96 candidates (-54.8%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New96096
Fresh033
Picked011
Done033
Total967103

Merged error: 0b

Counts
103 → 7

regimes166.0ms

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
0198
1198

end0.0ms

sample885.0ms

Algorithm
intervals
Results
240.0ms8512×body80valid
219.0ms8363×body80nan
0.0msbody640valid
0.0msbody1280valid

Profiling

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