Details

Time bar (total: 2.4s)

analyze399.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 49.975693%

Guaranteed chance to sample good point: 86.251218%

sample21.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
0.0ms1×body80invalid
0.0ms1×body80nan

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2414
3524
4854
51064
61414
72154
82364
92364

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x (log y)) z)
0.2b
(* x (log y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×log-prod
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×distribute-rgt-in distribute-lft-in associate--l+
5×pow1
4×add-exp-log associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
1×sub-neg flip3-- diff-log pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod unswap-sqr
Counts
2 → 43
Calls
2 calls:
4.0ms
(- (* x (log y)) z)
4.0ms
(* x (log y))

series18.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(- (* x (log y)) z)
7.0ms
(* x (log y))

simplify43.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0186226
1559202
21662185
35002185

prune65.0ms

Filtered
32 candidates to 49 candidates (-53.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New43649
Fresh000
Picked101
Done000
Total44650

Merged error: 0.0b

Counts
50 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (sqrt y))
0.0b
(- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) z)
0.2b
(* x (log (sqrt y)))
0.2b
(* x (log (sqrt y)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
30×log-prod
24×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt
15×sqrt-prod
14×pow1
12×distribute-rgt-in distribute-lft-in associate-*r*
9×add-exp-log log-pow add-log-exp
8×add-cbrt-cube
6×associate-*l*
3×sqrt-pow1 pow1/2
2×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sub-neg flip3-- rem-log-exp associate--l+ sum-log flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 99
Calls
4 calls:
2.0ms
(log (sqrt y))
7.0ms
(- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) z)
7.0ms
(* x (log (sqrt y)))
5.0ms
(* x (log (sqrt y)))

series37.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(log (sqrt y))
13.0ms
(- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) z)
9.0ms
(* x (log (sqrt y)))
10.0ms
(* x (log (sqrt y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0317774
11253680
25002655

prune115.0ms

Filtered
74 candidates to 111 candidates (-50.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1101111
Fresh055
Picked011
Done000
Total1107117

Merged error: 0.0b

Counts
117 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (sqrt y)))
0.3b
(+ (* 2 (log (cbrt (sqrt y)))) (log (cbrt (sqrt y))))
0.6b
(cbrt (sqrt y))
0.6b
(cbrt (sqrt y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
39×log-prod
30×cbrt-prod
25×add-sqr-sqrt
24×*-un-lft-identity
23×add-cube-cbrt
21×sqrt-prod
18×associate-+l+
15×distribute-rgt-in distribute-lft-in
9×pow1 associate-+r+
6×add-exp-log associate-*r* add-cbrt-cube
5×add-log-exp
4×log-pow
3×associate-*l*
2×distribute-rgt-out pow1/3
1×+-commutative distribute-lft1-in sqrt-pow1 flip3-+ pow1/2 pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 102
Calls
4 calls:
6.0ms
(* x (log (sqrt y)))
9.0ms
(+ (* 2 (log (cbrt (sqrt y)))) (log (cbrt (sqrt y))))
4.0ms
(cbrt (sqrt y))
2.0ms
(cbrt (sqrt y))

series69.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* x (log (sqrt y)))
27.0ms
(+ (* 2 (log (cbrt (sqrt y)))) (log (cbrt (sqrt y))))
16.0ms
(cbrt (sqrt y))
16.0ms
(cbrt (sqrt y))

simplify49.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0412795
11444712
25001654

prune142.0ms

Filtered
82 candidates to 114 candidates (-39.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1131114
Fresh145
Picked101
Done011
Total1156121

Merged error: 0.0b

Counts
121 → 6

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sqrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×sqrt-prod
Counts
4 → 47
Calls
4 calls:
2.0ms
(cbrt (sqrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series87.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(cbrt (sqrt y))
25.0ms
(cbrt y)
22.0ms
(cbrt y)
22.0ms
(cbrt y)

simplify45.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
0147244
1348225
21322183
35001172

prune92.0ms

Filtered
45 candidates to 59 candidates (-31.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh044
Picked011
Done011
Total59665

Merged error: 0.0b

Counts
65 → 6

regimes180.0ms

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
0109
1109

end0.0ms

analyze396.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 49.975693%

Guaranteed chance to sample good point: 86.251218%

sample478.0ms

Algorithm
intervals
Results
300.0ms7999×body80valid
1.0ms23×body80invalid
0.0ms14×body80nan
0.0ms1×body320valid

Profiling

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