Details

Time bar (total: 2.4s)

sample120.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 23.520795%

Guaranteed chance to sample good point: 65.377249%

Results
13.0ms294×body80valid
6.0ms162×body80nan

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1516
21046
31916
42626
53536
64666
77126
811106
912566
1012576
1112576

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

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- 1.0 z) (log z))
0.2b
(* y (+ (- 1.0 z) (log z)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
8×pow1 distribute-lft-out
7×add-sqr-sqrt associate-*r*
5×add-cube-cbrt add-log-exp
4×add-exp-log log-pow add-cbrt-cube distribute-lft-out--
3×associate-+r+ log-prod associate-*l*
2×associate-+l+ flip3-+ associate-*r/ sum-log flip-+
1×+-commutative distribute-rgt-in associate-+l- sub-neg distribute-lft-in diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 48
Calls
2 calls:
7.0ms
(+ (- 1.0 z) (log z))
9.0ms
(* y (+ (- 1.0 z) (log z)))

series30.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(+ (- 1.0 z) (log z))
13.0ms
(* y (+ (- 1.0 z) (log z)))

simplify99.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0267282
11022244
24823234
35001234

prune75.0ms

Filtered
31 candidates to 54 candidates (-74.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New48654
Fresh000
Picked101
Done000
Total49655

Merged error: 0.0b

Counts
55 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- 1.0 z))
0.2b
(+ (* y (- 1.0 z)) (* y (log z)))
0.3b
(* y (log z))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×*-un-lft-identity
12×log-prod
11×add-cube-cbrt
10×distribute-rgt-in distribute-lft-in
9×associate-*r*
8×pow1
7×add-exp-log add-cbrt-cube
6×associate-+r+ associate-*l*
5×add-log-exp
4×sub-neg associate-+l+
2×associate-*r/ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-- flip3-+ sum-log log-pow flip-- flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 73
Calls
3 calls:
6.0ms
(* y (- 1.0 z))
8.0ms
(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms
(* y (log z))

series28.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* y (- 1.0 z))
16.0ms
(+ (* y (- 1.0 z)) (* y (log z)))
7.0ms
(* y (log z))

simplify48.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0333384
11410343
25002317

prune91.0ms

Filtered
50 candidates to 82 candidates (-64.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New80282
Fresh235
Picked101
Done000
Total83588

Merged error: 0.0b

Counts
88 → 5

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y 1.0) (* y (neg z)))
0.2b
(+ (+ (* y 1.0) (* y (neg z))) (* y (log z)))
0.3b
(* y (log z))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
12×log-prod
11×add-sqr-sqrt
10×add-log-exp
9×add-cube-cbrt *-un-lft-identity
6×pow1 distribute-rgt-in associate-+r+ distribute-lft-in
5×add-exp-log add-cbrt-cube
4×associate-*r* sum-log distribute-rgt-neg-out
3×associate-*l* distribute-lft-out
2×+-commutative associate-+l- flip3-+ unsub-neg flip-+
1×associate-+l+ pow-prod-down prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
Counts
3 → 61
Calls
3 calls:
4.0ms
(+ (* y 1.0) (* y (neg z)))
7.0ms
(+ (+ (* y 1.0) (* y (neg z))) (* y (log z)))
5.0ms
(* y (log z))

series26.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* y 1.0) (* y (neg z)))
14.0ms
(+ (+ (* y 1.0) (* y (neg z))) (* y (log z)))
7.0ms
(* y (log z))

simplify49.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0345423
11515344
25001311

prune84.0ms

Filtered
47 candidates to 70 candidates (-48.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New69170
Fresh044
Picked011
Done000
Total69675

Merged error: 0b

Counts
75 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (* y (log (cbrt z))))
0.3b
(* y (log (cbrt z)))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod
18×cbrt-prod add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
12×distribute-rgt-in associate-+r+ distribute-lft-in
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-+ unswap-sqr
Counts
4 → 77
Calls
4 calls:
9.0ms
(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (* y (log (cbrt z))))
5.0ms
(* y (log (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series91.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (* y (log (cbrt z))))
20.0ms
(* y (log (cbrt z)))
23.0ms
(cbrt z)
21.0ms
(cbrt z)

simplify42.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0322652
11190594
25001540

prune89.0ms

Filtered
60 candidates to 89 candidates (-48.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New88189
Fresh134
Picked011
Done011
Total89695

Merged error: 0b

Counts
95 → 6

regimes289.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0239
1279
2289
3289

end0.0ms

sample1.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 23.520795%

Guaranteed chance to sample good point: 65.377249%

Results
420.0ms9177×body80valid
172.0ms4683×body80nan

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