Details

Time bar (total: 10.0s)

sample136.0ms

Algorithm
intervals
Results
46.0ms766×body80nan
12.0ms34×body640valid
11.0ms176×body80valid
11.0ms15×body1280valid
4.0ms20×body320valid
2.0ms12×body160valid

simplify23.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.8b

Counts
2 → 1

localize12.0ms

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))
4.6b
(log (- 1.0 y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
21×log-prod *-un-lft-identity
13×add-cube-cbrt
11×pow1
add-exp-log add-log-exp
distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
associate-*l*
distribute-lft-out-- difference-of-squares
log-pow
log-div flip3-- diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
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))

series38.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
8.0ms
(* z (log (- 1.0 y)))
9.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

simplify48.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0458643
11650563
25002529

prune534.0ms

Filtered
98 candidates to 66 candidates (32.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New90898
Fresh000
Picked101
Done000
Total91899

Merged error: 0.1b

Counts
99 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
88×add-sqr-sqrt
80×times-frac
78×associate-*r*
56×unpow-prod-down
51×*-un-lft-identity
46×add-cube-cbrt
31×add-exp-log
24×unpow2 sqr-pow
19×unswap-sqr
13×add-cbrt-cube
12×pow1 log-prod prod-exp
div-exp associate-*l* add-log-exp
distribute-rgt-in distribute-lft-in
associate--l+
pow-to-exp pow-exp
cbrt-unprod
sub-neg associate-*r/ pow-prod-down *-commutative distribute-lft-out--
flip3-- diff-log log-pow flip-- difference-of-squares
cbrt-undiv sum-log div-inv
Counts
4 → 184
Calls
4 calls:
22.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
6.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
8.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
4.0ms
(* x (log y))

series65.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
37.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
16.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
7.0ms
(* x (log y))

simplify96.0ms

Algorithm
egg-herbie
Counts
196 → 196
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
08701513
136651309
250011306

prune2.4s

Filtered
196 candidates to 120 candidates (38.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1942196
Fresh167
Picked101
Done000
Total1968204

Merged error: 0.0b

Counts
204 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
pow1
add-exp-log add-cbrt-cube add-log-exp
associate-*r*
pow1/3 associate-*l*
log-pow
+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
9.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series86.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* x (log (cbrt y)))
21.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
21.0ms
(cbrt y)
24.0ms
(cbrt y)

simplify50.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0362765
11356673
25002593

prune952.0ms

Filtered
114 candidates to 87 candidates (23.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1113114
Fresh257
Picked011
Done000
Total1139122

Merged error: 0.0b

Counts
122 → 9

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt (* (cbrt y) (cbrt y)))
0.6b
(cbrt (cbrt y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
4.0ms
(cbrt (* (cbrt y) (cbrt y)))
2.0ms
(cbrt (cbrt y))

series110.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
37.0ms
(cbrt (* (cbrt y) (cbrt y)))
29.0ms
(cbrt (cbrt y))

simplify204.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
0147266
1289242
2847200
34353187
45001187

prune575.0ms

Filtered
57 candidates to 45 candidates (21.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New56157
Fresh167
Picked101
Done011
Total58866

Merged error: 0.0b

Counts
66 → 8

regimes584.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04224
14224

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.4s24168×body80nan
350.0ms5519×body80valid
327.0ms918×body640valid
238.0ms359×body1280valid
166.0ms771×body320valid
64.0ms466×body160valid

Profiling

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