Details

Time bar (total: 2.1s)

analyze197.0ms

Algorithm
search

sample23.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
0.0ms6×body80invalid
0.0ms3×body80nan

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune5.0ms

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 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
7×associate-*r*
6×pow1 add-sqr-sqrt
4×add-exp-log add-cube-cbrt add-cbrt-cube distribute-lft-out add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ log-pow flip-+ distribute-lft-out--
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
5.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
9.0ms
(* y (+ (- 1.0 z) (log z)))

series26.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
13.0ms
(* y (+ (- 1.0 z) (log z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0315312
11328279
25001269

prune70.0ms

Filtered
30 candidates to 45 candidates (-50.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New40545
Fresh000
Picked101
Done000
Total41546

Merged error: 0.0b

Counts
46 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* y (+ (log z) 1.0)) (* 0.5 x)) (* z y))
0.0b
(+ (log z) 1.0)
0.0b
(+ (* y (+ (log z) 1.0)) (* 0.5 x))
0.3b
(* y (+ (log z) 1.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
12×add-log-exp
9×add-sqr-sqrt
8×pow1
7×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-+l+ associate-*r*
4×distribute-lft-out
3×log-prod flip3-+ associate-*l* sum-log flip-+
2×+-commutative distribute-rgt-in distribute-lft-in diff-log associate-*r/ log-pow
1×sub-neg flip3-- pow-prod-down prod-exp associate--l+ *-commutative flip-- cbrt-unprod unswap-sqr
Counts
4 → 67
Calls
4 calls:
8.0ms
(- (+ (* y (+ (log z) 1.0)) (* 0.5 x)) (* z y))
4.0ms
(+ (log z) 1.0)
6.0ms
(+ (* y (+ (log z) 1.0)) (* 0.5 x))
6.0ms
(* y (+ (log z) 1.0))

series45.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(- (+ (* y (+ (log z) 1.0)) (* 0.5 x)) (* z y))
10.0ms
(+ (log z) 1.0)
14.0ms
(+ (* y (+ (log z) 1.0)) (* 0.5 x))
8.0ms
(* y (+ (log z) 1.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0399507
11695463
25003451

prune106.0ms

Filtered
56 candidates to 79 candidates (-41.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New75479
Fresh314
Picked101
Done000
Total79584

Merged error: 0.0b

Counts
84 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
0.1b
(+ (* y (- 1.0 z)) (* y (log z)))
0.3b
(* y (log z))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×log-prod
11×add-sqr-sqrt
10×add-log-exp
9×add-cube-cbrt *-un-lft-identity
8×distribute-rgt-in distribute-lft-in
7×associate-+r+
6×pow1
5×add-exp-log add-cbrt-cube
4×associate-+l+ associate-*r* sum-log
3×associate-*l*
2×+-commutative sub-neg flip3-+ flip-+
1×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 60
Calls
3 calls:
7.0ms
(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
7.0ms
(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms
(* y (log z))

series34.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
14.0ms
(+ (* y (- 1.0 z)) (* y (log z)))
7.0ms
(* y (log z))

simplify49.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0392459
11597407
25001379

prune83.0ms

Filtered
46 candidates to 69 candidates (-50.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New67269
Fresh224
Picked011
Done000
Total69574

Merged error: 0b

Counts
74 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
0.2b
(* y (log (cbrt z)))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite16.0ms

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)

series91.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
19.0ms
(* y (log (cbrt z)))
22.0ms
(cbrt z)
23.0ms
(cbrt z)

simplify38.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0301543
11196479
25001445

prune95.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New87188
Fresh123
Picked101
Done011
Total89493

Merged error: 0b

Counts
93 → 4

regimes209.0ms

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
02411
12411

end0.0ms

analyze188.0ms

Algorithm
search

sample582.0ms

Algorithm
intervals
Results
396.0ms8000×body80valid
15.0ms301×body80invalid
3.0ms68×body80nan

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