Details

Time bar (total: 4.5s)

sample42.0ms

Algorithm
intervals
Results
13.0ms295×body80valid
10.0ms282×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

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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
(+ (- 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)))

series300.0ms

Counts
3 → 9
Calls
3 calls:
162.0ms
(+ (- 1.0 z) (log z))
62.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
76.0ms
(* y (+ (- 1.0 z) (log z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0359419
11515371
25001370

prune136.0ms

Filtered
70 candidates to 45 candidates (64.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New64670
Fresh000
Picked101
Done000
Total65671

Merged error: 0.0b

Counts
71 → 6

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×log-prod
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×add-log-exp
6×distribute-rgt-in associate-+r+ distribute-lft-in
5×pow1
4×add-exp-log associate-*r* add-cbrt-cube
3×associate-*l* sum-log
1×+-commutative associate-+l+ flip3-+ pow-prod-down prod-exp log-pow *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 44
Calls
2 calls:
7.0ms
(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log z)))
4.0ms
(* y (log z))

series100.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log z)))
36.0ms
(* y (log z))

simplify126.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 3 (121.0ms)

IterNodesCost
0263338
1979298
24377281
35002278

prune99.0ms

Filtered
50 candidates to 31 candidates (62.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New49150
Fresh235
Picked011
Done000
Total51556

Merged error: 0b

Counts
56 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
12×add-sqr-sqrt
10×pow1 add-cube-cbrt add-log-exp
9×cbrt-prod
8×distribute-lft-out
7×associate-*r*
6×add-exp-log associate-+r+ log-prod add-cbrt-cube
4×sum-log log-pow distribute-lft-out--
3×associate-+l+ associate-*l*
2×flip3-+ pow1/3 diff-log associate-*r/ flip-+
1×+-commutative distribute-rgt-in associate-+l- sub-neg distribute-lft-in pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod unswap-sqr
Counts
4 → 75
Calls
4 calls:
13.0ms
(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
11.0ms
(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series894.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
346.0ms
(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
188.0ms
(cbrt z)
178.0ms
(cbrt z)

simplify43.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0317676
11327592
25001543

prune232.0ms

Filtered
87 candidates to 65 candidates (74.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New86187
Fresh123
Picked011
Done011
Total87592

Merged error: 0b

Counts
92 → 5

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (+ (- 1.0 z) (* 2/3 (log z))))
0.2b
(* (log (pow z 1/3)) y)
0.4b
(* 2/3 (log z))
5.1b
(pow z 1/3)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
12×pow1
11×add-exp-log
10×associate-*r* associate-*l* add-cbrt-cube
6×log-prod
4×distribute-rgt-in distribute-lft-in add-log-exp
3×unpow-prod-down pow-unpow pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×associate-*r/ log-pow
1×pow-to-exp pow-pow flip3-+ unpow1/3 pow-exp flip-+ sqr-pow
Counts
4 → 84
Calls
4 calls:
8.0ms
(* y (+ (- 1.0 z) (* 2/3 (log z))))
4.0ms
(* (log (pow z 1/3)) y)
4.0ms
(* 2/3 (log z))
2.0ms
(pow z 1/3)

series525.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(* y (+ (- 1.0 z) (* 2/3 (log z))))
105.0ms
(* (log (pow z 1/3)) y)
146.0ms
(* 2/3 (log z))
177.0ms
(pow z 1/3)

simplify59.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0390452
11859390
25002368

prune421.0ms

Filtered
96 candidates to 60 candidates (62.5%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh022
Picked011
Done022
Total965101

Merged error: 0b

Counts
101 → 5

regimes128.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177

end0.0ms

sample1.2s

Algorithm
intervals
Results
417.0ms9157×body80valid
342.0ms9040×body80nan

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