Details

Time bar (total: 7.3s)

sample115.0ms

Algorithm
intervals
Results
48.0ms846×body80nan
11.0ms182×body80valid
9.0ms26×body640valid
7.0ms11×body1280valid
4.0ms21×body320valid
2.0ms16×body160valid

simplify24.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0217
1307
2397
3457
4607
5887
61257
71767
82087
92257
102937
112937

prune3.0ms

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: 8.3b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b
(* z (log (- 1.0 y)))
0.3b
(* x (log y))
5.7b
(log (- 1.0 y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
21×log-prod *-un-lft-identity
13×add-cube-cbrt
11×pow1
9×add-exp-log add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
6×associate-*l*
4×distribute-lft-out-- difference-of-squares
3×log-pow
2×log-div flip3-- diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
1×sub-neg rem-log-exp associate--l+ sum-log
Counts
4 → 86
Calls
4 calls:
6.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
6.0ms
(* z (log (- 1.0 y)))
4.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

series230.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
65.0ms
(* z (log (- 1.0 y)))
36.0ms
(* x (log y))
45.0ms
(log (- 1.0 y))

simplify45.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0436628
11539553
25002530

prune242.0ms

Filtered
98 candidates to 66 candidates (67.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New91798
Fresh000
Picked101
Done000
Total92799

Merged error: 0.0b

Counts
99 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
0.0b
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.3b
(* x (log y))
6.2b
(* z (pow y 2))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
26×prod-exp
25×add-sqr-sqrt
24×associate-*r*
17×add-cbrt-cube
15×add-cube-cbrt *-un-lft-identity
12×div-exp
9×pow1 associate-*l*
8×pow-to-exp times-frac pow-exp
7×unpow-prod-down
6×log-prod cbrt-unprod add-log-exp unswap-sqr
3×distribute-rgt-in distribute-lft-in *-commutative unpow2 sqr-pow
2×cbrt-undiv pow-prod-down
1×+-commutative flip3-+ associate-*r/ sum-log log-pow flip-+ div-inv
Counts
4 → 105
Calls
4 calls:
9.0ms
(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
5.0ms
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
4.0ms
(* x (log y))
6.0ms
(* z (pow y 2))

series239.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
111.0ms
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
37.0ms
(* x (log y))
33.0ms
(* z (pow y 2))

simplify70.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0488651
12291576
25001576

prune330.0ms

Filtered
117 candidates to 69 candidates (59.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1152117
Fresh246
Picked011
Done000
Total1177124

Merged error: 0.0b

Counts
124 → 7

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)
6.2b
(* z (pow y 2))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
30×distribute-rgt-in distribute-lft-in
27×add-sqr-sqrt
24×cbrt-prod associate-+l+
21×add-cube-cbrt *-un-lft-identity
12×associate-+r+
9×add-exp-log
8×associate-*r*
6×add-cbrt-cube add-log-exp
4×pow1 unpow-prod-down unswap-sqr
3×associate-*l* prod-exp
2×pow1/3 unpow2 sqr-pow
1×+-commutative pow-to-exp flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out
Counts
4 → 97
Calls
4 calls:
16.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
2.0ms
(cbrt y)
2.0ms
(cbrt y)
9.0ms
(* z (pow y 2))

series529.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
184.0ms
(cbrt y)
197.0ms
(cbrt y)
45.0ms
(* z (pow y 2))

simplify52.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0402637
11429528
25001467

prune548.0ms

Filtered
109 candidates to 89 candidates (81.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1072109
Fresh325
Picked101
Done011
Total1115116

Merged error: 0.0b

Counts
116 → 5

localize41.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (cbrt y))
0.7b
(cbrt (cbrt y))
5.1b
(pow y 1/3)
6.2b
(* z (pow y 2))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
18×cbrt-prod
13×add-cube-cbrt *-un-lft-identity
10×add-exp-log
8×associate-*r*
7×unpow-prod-down
6×add-cbrt-cube
5×pow1
4×add-log-exp unswap-sqr
3×pow-unpow associate-*l* prod-exp sqr-pow
2×pow-to-exp pow1/3 pow-exp unpow2
1×pow-pow unpow1/3 *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
2.0ms
(cbrt (cbrt y))
2.0ms
(cbrt (cbrt y))
2.0ms
(pow y 1/3)
6.0ms
(* z (pow y 2))

series686.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(cbrt (cbrt y))
245.0ms
(cbrt (cbrt y))
172.0ms
(pow y 1/3)
29.0ms
(* z (pow y 2))

simplify118.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (112.0ms)

IterNodesCost
0216294
1741260
23505252
35003247

prune459.0ms

Filtered
85 candidates to 63 candidates (74.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done011
Total85590

Merged error: 0.0b

Counts
90 → 5

regimes148.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03015
13015

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.3s23742×body80nan
341.0ms5578×body80valid
301.0ms887×body640valid
249.0ms386×body1280valid
152.0ms726×body320valid
60.0ms458×body160valid

Profiling

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