Details

Time bar (total: 3.5s)

sample603.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 74.463998%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
13.0ms256×body80valid
0.0msbody80nan
0.0msbody80invalid

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0206
1486
21186
32476
45256
57326
69376
711086
811286
911286

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log y)) y)
0.0b
(+ (- (- (* x (log y)) y) z) (log t))
0.3b
(* x (log y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
21×log-prod
20×*-un-lft-identity associate--l+
14×add-sqr-sqrt
12×add-cube-cbrt
11×add-log-exp
10×associate-+l+
distribute-rgt-in distribute-lft-in
pow1
add-exp-log add-cbrt-cube
diff-log associate-*r* distribute-lft-out
sub-neg associate-+r+ associate-*l* sum-log log-pow
distribute-lft-out--
+-commutative associate-+l- flip3-- flip3-+ pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ unswap-sqr
Counts
3 → 74
Calls
3 calls:
4.0ms
(- (* x (log y)) y)
11.0ms
(+ (- (- (* x (log y)) y) z) (log t))
4.0ms
(* x (log y))

series31.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(- (* x (log y)) y)
14.0ms
(+ (- (- (* x (log y)) y) z) (log t))
7.0ms
(* x (log y))

simplify81.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0357487
11130439
23828405
35001405

prune107.0ms

Filtered
56 candidates to 83 candidates (-48.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New75883
Fresh000
Picked101
Done000
Total76884

Merged error: 0.0b

Counts
84 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (* x (log y)) y) (- (log t) z))
0.0b
(- (* x (log y)) y)
0.0b
(- (log t) z)
0.3b
(* x (log y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod *-un-lft-identity
18×add-sqr-sqrt associate--l+
17×add-log-exp
14×add-cube-cbrt
pow1 distribute-rgt-in distribute-lft-in
associate-+l+
add-exp-log flip3-- diff-log add-cbrt-cube flip--
associate-+r+
sub-neg associate-*r* frac-add sum-log distribute-lft-out--
associate-*l* log-pow distribute-lft-out
+-commutative associate-+l- associate-+r- flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ difference-of-squares unswap-sqr
Counts
4 → 97
Calls
4 calls:
11.0ms
(+ (- (* x (log y)) y) (- (log t) z))
4.0ms
(- (* x (log y)) y)
4.0ms
(- (log t) z)
4.0ms
(* x (log y))

series43.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(+ (- (* x (log y)) y) (- (log t) z))
10.0ms
(- (* x (log y)) y)
9.0ms
(- (log t) z)
9.0ms
(* x (log y))

simplify47.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0506721
11740677
25002625

prune114.0ms

Filtered
75 candidates to 109 candidates (-45.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1090109
Fresh077
Picked011
Done000
Total1098117

Merged error: 0.0b

Counts
117 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (* 2 (log (cbrt y))))
0.3b
(* x (log (cbrt y)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
30×distribute-rgt-in distribute-lft-in
24×cbrt-prod
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
12×pow1
11×add-exp-log add-cbrt-cube
associate-*r* associate-*l*
pow-prod-down prod-exp cbrt-unprod add-log-exp
pow1/3
log-pow *-commutative
unswap-sqr
Counts
4 → 96
Calls
4 calls:
6.0ms
(* x (* 2 (log (cbrt y))))
5.0ms
(* x (log (cbrt y)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series87.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* x (* 2 (log (cbrt y))))
20.0ms
(* x (log (cbrt y)))
22.0ms
(cbrt y)
24.0ms
(cbrt y)

simplify96.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0317680
11171607
24308566
35001542

prune128.0ms

Filtered
62 candidates to 108 candidates (-74.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1053108
Fresh156
Picked101
Done011
Total1079116

Merged error: 0.0b

Counts
116 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt y)))
0.3b
(* (* 2/3 (log y)) x)
0.4b
(* 2/3 (log y))
0.6b
(cbrt y)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×log-prod
16×add-cube-cbrt *-un-lft-identity
15×pow1
13×add-exp-log add-cbrt-cube
12×associate-*r*
cbrt-prod distribute-rgt-in distribute-lft-in
associate-*l*
pow-prod-down prod-exp cbrt-unprod
add-log-exp
log-pow *-commutative
pow1/3 unswap-sqr
Counts
4 → 86
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
5.0ms
(* (* 2/3 (log y)) x)
4.0ms
(* 2/3 (log y))
2.0ms
(cbrt y)

series72.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* x (log (cbrt y)))
15.0ms
(* (* 2/3 (log y)) x)
14.0ms
(* 2/3 (log y))
22.0ms
(cbrt y)

simplify100.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0302478
11309411
24312382
35001373

prune92.0ms

Filtered
59 candidates to 98 candidates (-66.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New97198
Fresh257
Picked011
Done011
Total998107

Merged error: 0.0b

Counts
107 → 8

regimes511.0ms

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
0126
1126

end0.0ms

sample1.2s

Algorithm
intervals
sampling

Space saved by range analysis: 74.463998%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
430.0ms7999×body80valid
8.0ms197×body80nan
2.0ms34×body80invalid
0.0msbody640valid

Profiling

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