Details

Time bar (total: 3.3s)

sample33.0ms

Algorithm
intervals
Results
8.0ms278×body80valid
7.0ms280×body80nan

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1234
2404
3594
4744
51034
61204
71454
82264
92574
102574

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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

series12.0ms

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

simplify127.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0229223
1909209
24523202
35001202

prune118.0ms

Filtered
43 candidates to 32 candidates (25.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New38543
Fresh000
Picked011
Done000
Total38644

Merged error: 0.0b

Counts
44 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
2.0ms
(sqrt (sqrt x))
2.0ms
(sqrt (sqrt x))
6.0ms
(* y (sqrt (sqrt x)))
8.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series45.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (sqrt x))
14.0ms
(sqrt (sqrt x))
11.0ms
(* y (sqrt (sqrt x)))
7.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify42.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0313517
11342467
25001423

prune324.0ms

Filtered
100 candidates to 58 candidates (42.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New982100
Fresh134
Picked101
Done011
Total1006106

Merged error: 0b

Counts
106 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
69×sqrt-prod
33×associate-*r*
28×add-sqr-sqrt
23×pow1
20×add-exp-log add-cbrt-cube
19×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
9×sqrt-pow1
5×associate-*l*
4×add-log-exp
3×rem-sqrt-square pow1/2 *-commutative unswap-sqr
Counts
4 → 108
Calls
4 calls:
3.0ms
(sqrt (sqrt (sqrt x)))
6.0ms
(* y (sqrt (sqrt x)))
10.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))
18.0ms
(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

series49.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (sqrt (sqrt x)))
10.0ms
(* y (sqrt (sqrt x)))
18.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))
7.0ms
(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

simplify66.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0528940
12593794
25001709

prune534.0ms

Filtered
120 candidates to 68 candidates (43.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh044
Picked011
Done011
Total1206126

Merged error: 0b

Counts
126 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite218.0ms

Algorithm
rewrite-expression-head
Rules
22×sqrt-prod
21×add-sqr-sqrt
20×cbrt-prod
18×pow1 add-exp-log add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity associate-*r*
9×pow-prod-down prod-exp cbrt-unprod
4×associate-*l* add-log-exp unswap-sqr
2×pow1/3 *-commutative
Counts
4 → 80
Calls
4 calls:
202.0ms
(* (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x))))
10.0ms
(* (* y (sqrt (sqrt x))) (* (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x)))))
2.0ms
(cbrt (sqrt x))
2.0ms
(cbrt (sqrt x))

series69.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x))))
20.0ms
(* (* y (sqrt (sqrt x))) (* (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x)))))
15.0ms
(cbrt (sqrt x))
15.0ms
(cbrt (sqrt x))

simplify50.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0446892
11731788
25001749

prune432.0ms

Filtered
92 candidates to 59 candidates (35.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New92092
Fresh033
Picked011
Done022
Total92698

Merged error: 0b

Counts
98 → 6

regimes151.0ms

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
094
194

end0.0ms

sample852.0ms

Algorithm
intervals
Results
244.0ms8603×body80valid
219.0ms8641×body80nan
0.0ms2×body1280valid
0.0ms1×body640valid

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