Details

Time bar (total: 1.9s)

sample33.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 23.520795%

Guaranteed chance to sample good point: 65.377249%

Results
8.0ms279×body80valid
3.0ms133×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

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- 1.0 x) (* y (sqrt x)))
0.3b
(* y (sqrt x))

rewrite12.0ms

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

series13.0ms

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

simplify125.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0229223
1909209
24523202
35001202

prune69.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New37643
Fresh000
Picked011
Done000
Total37744

Merged error: 0.0b

Counts
44 → 7

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)))
0.4b
(* (* 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
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)))
9.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series53.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (sqrt x))
16.0ms
(sqrt (sqrt x))
14.0ms
(* 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 (35.0ms)

IterNodesCost
0313517
11342467
25001423

prune110.0ms

Filtered
58 candidates to 100 candidates (-72.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New955100
Fresh415
Picked101
Done011
Total1007107

Merged error: 0.0b

Counts
107 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- 1.0 x) (* (* y (pow x 1/4)) (sqrt (sqrt x))))
0.1b
(sqrt (sqrt x))
0.3b
(* y (pow x 1/4))
0.4b
(* (* y (pow x 1/4)) (sqrt (sqrt x)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-sqr-sqrt sqrt-prod
16×associate-*r*
12×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
10×prod-exp
9×add-log-exp
8×pow1
4×unpow-prod-down sqrt-pow1 associate-*l* cbrt-unprod
3×unswap-sqr
2×pow-to-exp rem-sqrt-square associate-+l+ pow1/2 pow-exp sum-log *-commutative sqr-pow
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down flip-+
Counts
4 → 84
Calls
4 calls:
7.0ms
(+ (- 1.0 x) (* (* y (pow x 1/4)) (sqrt (sqrt x))))
2.0ms
(sqrt (sqrt x))
5.0ms
(* y (pow x 1/4))
8.0ms
(* (* y (pow x 1/4)) (sqrt (sqrt x)))

series55.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+ (- 1.0 x) (* (* y (pow x 1/4)) (sqrt (sqrt x))))
15.0ms
(sqrt (sqrt x))
15.0ms
(* y (pow x 1/4))
13.0ms
(* (* y (pow x 1/4)) (sqrt (sqrt x)))

simplify57.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0458609
12014557
25002532

prune138.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh055
Picked011
Done011
Total967103

Merged error: 0.0b

Counts
103 → 7

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)))) (sqrt (sqrt (sqrt x))))
0.4b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

rewrite41.0ms

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)))
17.0ms
(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
11.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

series54.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (sqrt (sqrt x)))
11.0ms
(* y (sqrt (sqrt x)))
7.0ms
(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
20.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

simplify71.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0528938
12546794
25001709

prune113.0ms

Filtered
68 candidates to 120 candidates (-76.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1200120
Fresh044
Picked011
Done022
Total1207127

Merged error: 0.0b

Counts
127 → 7

regimes168.0ms

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 (1.0ms)

IterNodesCost
094
194

end0.0ms

sample673.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 23.520795%

Guaranteed chance to sample good point: 65.377249%

Results
250.0ms8543×body80valid
119.0ms4496×body80nan
0.0ms1×body1280valid
0.0ms2×body160valid

Profiling

Loading profile data...