Details

Time bar (total: 8.4s)

sample2.7s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 74.414063%

Guaranteed chance to sample good point: 67.748092%

Results
14.0ms256×body80valid
0.0ms3×body80nan
0.0ms1×body80invalid

simplify31.0ms

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

localize11.0ms

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))

rewrite25.0ms

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+
9×distribute-rgt-in distribute-lft-in
8×pow1
5×add-exp-log add-cbrt-cube
4×diff-log associate-*r* distribute-lft-out
3×sub-neg associate-+r+ associate-*l* sum-log log-pow
2×distribute-lft-out--
1×+-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)
14.0ms
(+ (- (- (* x (log y)) y) z) (log t))
5.0ms
(* x (log y))

series30.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(- (* x (log y)) y)
13.0ms
(+ (- (- (* x (log y)) y) z) (log t))
7.0ms
(* x (log y))

simplify85.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0357487
11130439
23828405
35001405

prune94.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New78583
Fresh000
Picked011
Done000
Total78684

Merged error: 0.0b

Counts
84 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
10.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series85.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* x (log (cbrt y)))
21.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
23.0ms
(cbrt y)
22.0ms
(cbrt y)

simplify49.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0362765
11356673
25002593

prune141.0ms

Filtered
87 candidates to 114 candidates (-31.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1122114
Fresh224
Picked101
Done011
Total1155120

Merged error: 0b

Counts
120 → 5

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt (cbrt y))
0.6b
(cbrt (* (cbrt y) (cbrt y)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
2.0ms
(cbrt (cbrt y))
4.0ms
(cbrt (* (cbrt y) (cbrt y)))

series111.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt y)
21.0ms
(cbrt y)
30.0ms
(cbrt (cbrt y))
37.0ms
(cbrt (* (cbrt y) (cbrt y)))

simplify206.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
0147266
1289242
2847200
34355187
45001187

prune92.0ms

Filtered
45 candidates to 57 candidates (-26.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New57057
Fresh033
Picked011
Done011
Total57562

Merged error: 0b

Counts
62 → 5

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
0.5b
(cbrt y)
5.1b
(pow y 1/3)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
52×log-prod
40×distribute-rgt-in distribute-lft-in
28×associate-+l+
27×add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
15×cbrt-prod unpow-prod-down
12×associate-+r+
8×pow1
7×add-exp-log
6×add-cbrt-cube add-log-exp
5×associate-*r* sqr-pow
3×pow-unpow associate-*l*
2×pow1/3 log-pow
1×+-commutative pow-to-exp pow-pow flip3-+ unpow1/3 pow-prod-down pow-exp prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 113
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
10.0ms
(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
3.0ms
(pow y 1/3)

series92.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* x (log (cbrt y)))
31.0ms
(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
22.0ms
(cbrt y)
20.0ms
(pow y 1/3)

simplify67.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0492803
11911693
25001507

prune171.0ms

Filtered
90 candidates to 125 candidates (-38.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1250125
Fresh022
Picked011
Done022
Total1255130

Merged error: 0b

Counts
130 → 5

regimes538.0ms

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

sample3.7s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 74.414063%

Guaranteed chance to sample good point: 67.748092%

Results
443.0ms7997×body80valid
7.0ms175×body80nan
2.0ms34×body80invalid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid

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