Details

Time bar (total: 2.8s)

sample44.0ms

Algorithm
intervals
Results
13.0ms295×body80valid
9.0ms258×body80nan

simplify53.0ms

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

localize13.0ms

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)))

rewrite23.0ms

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))
9.0ms
(* y (+ (- 1.0 z) (log z)))

series42.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(+ (* 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

prune125.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New63770
Fresh000
Picked011
Done000
Total63871

Merged error: 0.0b

Counts
71 → 8

localize10.0ms

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)))
0.3b
(* y (log z))

rewrite29.0ms

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:
7.0ms
(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
6.0ms
(* y (- 1.0 z))
9.0ms
(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms
(* y (log z))

series41.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
5.0ms
(* y (- 1.0 z))
15.0ms
(+ (* y (- 1.0 z)) (* y (log z)))
7.0ms
(* y (log z))

simplify56.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0461552
12006494
25002475

prune102.0ms

Filtered
62 candidates to 98 candidates (-58.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New95398
Fresh426
Picked011
Done011
Total997106

Merged error: 0.0b

Counts
106 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- 1.0 z) (log (sqrt z)))
0.1b
(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* y (log (sqrt z))))
0.2b
(* y (+ (- 1.0 z) (log (sqrt z))))
0.3b
(* y (log (sqrt z)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
30×log-prod
22×add-sqr-sqrt
18×add-cube-cbrt associate-+r+
15×sqrt-prod
14×pow1 distribute-rgt-in distribute-lft-in
13×associate-*r*
9×distribute-lft-out add-log-exp
8×add-exp-log add-cbrt-cube
7×log-pow
6×associate-*l*
4×associate-+l+ distribute-lft-out--
3×flip3-+ sum-log flip-+
2×+-commutative associate-*r/ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×associate-+l- sub-neg sqrt-pow1 pow1/2 diff-log
Counts
4 → 110
Calls
4 calls:
8.0ms
(+ (- 1.0 z) (log (sqrt z)))
11.0ms
(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* y (log (sqrt z))))
11.0ms
(* y (+ (- 1.0 z) (log (sqrt z))))
5.0ms
(* y (log (sqrt z)))

series40.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ (- 1.0 z) (log (sqrt z)))
15.0ms
(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* y (log (sqrt z))))
11.0ms
(* y (+ (- 1.0 z) (log (sqrt z))))
9.0ms
(* y (log (sqrt z)))

simplify71.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0567922
12376850
25001807

prune129.0ms

Filtered
80 candidates to 122 candidates (-52.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1220122
Fresh044
Picked011
Done022
Total1227129

Merged error: 0.0b

Counts
129 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
0.3b
(* 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)

series96.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
20.0ms
(* y (log (cbrt z)))
22.0ms
(cbrt z)
26.0ms
(cbrt z)

simplify37.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0301543
11196479
25001445

prune91.0ms

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

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New88088
Fresh033
Picked011
Done033
Total88795

Merged error: 0.0b

Counts
95 → 7

regimes479.0ms

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
02011
12011

end0.0ms

sample1.2s

Algorithm
intervals
Results
410.0ms9141×body80valid
287.0ms7869×body80nan

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