Details

Time bar (total: 2.9s)

sample378.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 55.436436%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
11.0ms256×body80valid
0.0ms5×body80invalid
0.0ms1×body80nan

simplify57.0ms

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

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 3 expressions with local error:

0.0b
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b
(+ (- 1.0 z) (log z))
0.2b
(* y (+ (- 1.0 z) (log z)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
9×pow1
8×add-sqr-sqrt distribute-lft-out add-log-exp
7×associate-*r*
6×add-cube-cbrt
5×add-exp-log associate-+r+ add-cbrt-cube
4×log-pow distribute-lft-out--
3×log-prod flip3-+ associate-*l* sum-log flip-+
2×+-commutative distribute-rgt-in associate-+l+ distribute-lft-in associate-*r/
1×associate-+l- sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 61
Calls
3 calls:
5.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
6.0ms
(+ (- 1.0 z) (log z))
12.0ms
(* y (+ (- 1.0 z) (log z)))

series40.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
14.0ms
(+ (- 1.0 z) (log z))
13.0ms
(* y (+ (- 1.0 z) (log z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0387432
11513383
25001370

prune90.0ms

Filtered
44 candidates to 70 candidates (-59.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New65570
Fresh000
Picked011
Done000
Total65671

Merged error: 0.0b

Counts
71 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- 1.0 z) y)
0.1b
(+ (+ (* x 0.5) (* (- 1.0 z) y)) (* y (log z)))
0.2b
(* y (log z))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×*-un-lft-identity
12×log-prod
11×add-cube-cbrt
8×pow1 associate-*l* add-log-exp
7×add-exp-log associate-*r* add-cbrt-cube
6×distribute-rgt-in associate-+r+ distribute-lft-in
3×sum-log
2×pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative associate-+l+ flip3-- flip3-+ log-pow flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 66
Calls
3 calls:
6.0ms
(* (- 1.0 z) y)
6.0ms
(+ (+ (* x 0.5) (* (- 1.0 z) y)) (* y (log z)))
4.0ms
(* y (log z))

series28.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* (- 1.0 z) y)
17.0ms
(+ (+ (* x 0.5) (* (- 1.0 z) y)) (* y (log z)))
7.0ms
(* y (log z))

simplify42.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0354436
11502381
25002364

prune107.0ms

Filtered
51 candidates to 75 candidates (-47.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New73275
Fresh044
Picked011
Done011
Total73881

Merged error: 0b

Counts
81 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series87.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt z) (cbrt z))
22.0ms
(cbrt z)
21.0ms
(cbrt z)
21.0ms
(cbrt z)

simplify71.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune103.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh145
Picked101
Done022
Total86793

Merged error: 0b

Counts
93 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (+ (- 1.0 z) (log (pow z 2/3))))
0.3b
(* y (log (cbrt z)))
0.6b
(cbrt z)
5.9b
(pow z 2/3)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
19×add-sqr-sqrt
15×add-cube-cbrt
12×log-prod
10×pow1 associate-*r*
9×add-exp-log cbrt-prod
8×add-cbrt-cube
7×distribute-rgt-in distribute-lft-in
6×associate-*l*
4×add-log-exp
3×unpow-prod-down pow-unpow
2×pow1/3 associate-*r/ pow-prod-down prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out unswap-sqr
1×pow-to-exp pow-pow flip3-+ pow-exp flip-+ distribute-lft-out-- sqr-pow
Counts
4 → 84
Calls
4 calls:
8.0ms
(* y (+ (- 1.0 z) (log (pow z 2/3))))
4.0ms
(* y (log (cbrt z)))
1.0ms
(cbrt z)
2.0ms
(pow z 2/3)

series86.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* y (+ (- 1.0 z) (log (pow z 2/3))))
19.0ms
(* y (log (cbrt z)))
20.0ms
(cbrt z)
19.0ms
(pow z 2/3)

simplify48.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0400515
11699444
25001398

prune123.0ms

Filtered
58 candidates to 96 candidates (-65.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh044
Picked011
Done022
Total967103

Merged error: 0b

Counts
103 → 7

regimes531.0ms

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
02311
12311

end0.0ms

sample888.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 55.436436%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
356.0ms8000×body80valid
7.0ms157×body80invalid
1.0ms20×body80nan

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