Details

Time bar (total: 2.9s)

sample240.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 46.875%

Guaranteed chance to sample good point: 94.117647%

Results
13.0ms293×body80valid
1.0ms25×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

localize10.0ms

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)))

rewrite27.0ms

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))))
7.0ms
(+ (- 1.0 z) (log z))
13.0ms
(* y (+ (- 1.0 z) (log z)))

series41.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
15.0ms
(+ (- 1.0 z) (log z))
13.0ms
(* y (+ (- 1.0 z) (log z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0387432
11513383
25001370

prune103.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New62870
Fresh000
Picked101
Done000
Total63871

Merged error: 0.0b

Counts
71 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
0.0b
(* y (- 1.0 z))
0.2b
(+ (* y (- 1.0 z)) (* y (log z)))
0.4b
(* y (log z))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
14×*-un-lft-identity
12×add-cube-cbrt log-prod
11×add-log-exp
10×distribute-rgt-in distribute-lft-in
9×pow1 associate-*r*
8×add-exp-log add-cbrt-cube
7×associate-+r+
6×associate-*l*
4×sub-neg associate-+l+ sum-log
2×+-commutative flip3-+ associate-*r/ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
1×flip3-- log-pow flip-- distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 86
Calls
4 calls:
8.0ms
(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
8.0ms
(* y (- 1.0 z))
7.0ms
(+ (* y (- 1.0 z)) (* y (log z)))
5.0ms
(* y (log z))

series40.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
5.0ms
(* y (- 1.0 z))
14.0ms
(+ (* y (- 1.0 z)) (* y (log z)))
7.0ms
(* y (log z))

simplify57.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0461552
12006494
25002475

prune112.0ms

Filtered
63 candidates to 98 candidates (-55.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New96298
Fresh347
Picked101
Done000
Total1006106

Merged error: 0.0b

Counts
106 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
0.3b
(* y (log (cbrt z)))
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
12×cbrt-prod log-prod
9×pow1
8×add-exp-log associate-*r* associate-*l* add-cbrt-cube
6×distribute-rgt-in distribute-lft-in
4×add-log-exp
3×pow1/3
2×pow-prod-down associate-*l/ prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 76
Calls
4 calls:
7.0ms
(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
5.0ms
(* y (log (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series94.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
19.0ms
(* y (log (cbrt z)))
22.0ms
(cbrt z)
22.0ms
(cbrt z)

simplify39.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0301543
11196479
25001445

prune121.0ms

Filtered
61 candidates to 88 candidates (-44.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New87188
Fresh055
Picked101
Done000
Total88694

Merged error: 0b

Counts
94 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt z)
4.0ms
(cbrt (cbrt z))
2.0ms
(cbrt (cbrt z))
2.0ms
(cbrt (cbrt z))

series114.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt z)
32.0ms
(cbrt (cbrt z))
30.0ms
(cbrt (cbrt z))
30.0ms
(cbrt (cbrt z))

simplify79.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 3 (14.0ms)

IterNodesCost
099309
1175287
2404247
31393237
45002237

prune92.0ms

Filtered
52 candidates to 65 candidates (-25.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New65065
Fresh055
Picked011
Done000
Total65671

Merged error: 0b

Counts
71 → 6

regimes484.0ms

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
02719
12719

end0.0ms

sample986.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 46.875%

Guaranteed chance to sample good point: 94.117647%

Results
432.0ms9164×body80valid
23.0ms596×body80nan

Profiling

Loading profile data...