Details

Time bar (total: 2.8s)

sample46.0ms

Algorithm
intervals
Results
12.0ms291×body80valid
11.0ms309×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

prune8.0ms

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
(+ (- 1.0 z) (log z))
0.0b
(+ (* x 0.5) (* y (+ (- 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:
7.0ms
(+ (- 1.0 z) (log z))
5.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
9.0ms
(* y (+ (- 1.0 z) (log z)))

series40.0ms

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

simplify46.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0387432
11513383
25001370

prune98.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New64670
Fresh000
Picked101
Done000
Total65671

Merged error: 0.0b

Counts
71 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
40×distribute-lft-out
28×pow1
23×log-pow
18×log-prod
14×add-sqr-sqrt
13×associate-*r*
12×add-cube-cbrt associate-+r+
11×add-log-exp
10×distribute-lft-out--
9×sqrt-prod
7×add-exp-log sum-log
6×add-cbrt-cube
3×associate-+l- associate-+l+ flip3-+ associate-*l* flip-+
2×+-commutative diff-log associate-*r/
1×distribute-rgt-in sub-neg distribute-lft-in sqrt-pow1 pow1/2 rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 105
Calls
4 calls:
2.0ms
(log (sqrt z))
8.0ms
(+ (- 1.0 z) (log (sqrt z)))
12.0ms
(+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))
17.0ms
(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

series27.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(log (sqrt z))
4.0ms
(+ (- 1.0 z) (log (sqrt z)))
5.0ms
(+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))
13.0ms
(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

simplify54.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0495815
11978721
25003695

prune137.0ms

Filtered
73 candidates to 117 candidates (-60.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1152117
Fresh145
Picked101
Done000
Total1176123

Merged error: 0b

Counts
123 → 6

localize13.0ms

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))))
0.2b
(* y (log (sqrt z)))

rewrite38.0ms

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))))
10.0ms
(* 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)))
13.0ms
(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* y (log (sqrt z))))
11.0ms
(* y (+ (- 1.0 z) (log (sqrt z))))
11.0ms
(* y (log (sqrt z)))

simplify70.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0567922
12376850
25001807

prune147.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1211122
Fresh145
Picked101
Done000
Total1235128

Merged error: 0b

Counts
128 → 5

localize25.0ms

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)

rewrite12.0ms

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:
6.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series91.0ms

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

simplify77.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune110.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done000
Total85590

Merged error: 0b

Counts
90 → 5

regimes292.0ms

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
03019
13019

end0.0ms

sample1.3s

Algorithm
intervals
Results
396.0ms9145×body80valid
321.0ms9201×body80nan

Profiling

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