Details

Time bar (total: 4.0s)

sample75.0ms

Algorithm
intervals
Results
19.0ms37×body1280valid
14.0ms33×body640valid
13.0ms206×body80valid
5.0ms102×body80nan
3.0ms12×body320valid
1.0ms10×body160valid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1277
2547
31097
43077
57777
641457
750027

prune4.0ms

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: 7.1b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.1b
(* y (log (/ y (+ z y))))
9.3b
(log (/ y (+ z y)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
54×log-prod
49×*-un-lft-identity
36×times-frac
31×add-sqr-sqrt
29×add-cube-cbrt
18×distribute-rgt-in distribute-lft-in
10×distribute-lft-out
8×add-exp-log
7×pow1
6×associate-/r/
5×add-cbrt-cube add-log-exp
4×flip3-+ associate-*r* flip-+
3×associate-*l* div-inv
2×rem-log-exp log-pow
1×+-commutative log-div div-exp pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
3 → 96
Calls
3 calls:
34.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
8.0ms
(* y (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series47.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
15.0ms
(* y (log (/ y (+ z y))))
12.0ms
(log (/ y (+ z y)))

simplify97.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0370874
11292795
24201764
35001760

prune118.0ms

Filtered
105 candidates to 65 candidates (38.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1023105
Fresh000
Picked101
Done000
Total1033106

Merged error: 1.4b

Counts
106 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ z y))
0.5b
(cbrt (+ z y))
3.2b
(log (/ (cbrt y) (cbrt (+ z y))))
3.2b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
98×cbrt-prod
96×log-prod
88×*-un-lft-identity
84×times-frac
60×add-sqr-sqrt add-cube-cbrt
14×distribute-lft-out
10×add-exp-log
8×cbrt-div
6×pow1
4×flip3-+ rem-log-exp associate-/r/ add-cbrt-cube flip-+ add-log-exp
2×log-div pow1/3 div-exp log-pow div-inv
Counts
4 → 146
Calls
4 calls:
3.0ms
(cbrt (+ z y))
3.0ms
(cbrt (+ z y))
7.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
7.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series110.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (+ z y))
30.0ms
(cbrt (+ z y))
27.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
23.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify114.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
03781556
19271492
237611430
350021430

prune203.0ms

Filtered
158 candidates to 106 candidates (32.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1562158
Fresh112
Picked011
Done000
Total1574161

Merged error: 0.5b

Counts
161 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
9.3b
(log (/ y (+ z y)))
9.3b
(log (/ y (+ z y)))
9.3b
(log (/ y (+ z y)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
54×log-prod
49×*-un-lft-identity
36×times-frac
29×add-sqr-sqrt add-cube-cbrt
13×add-exp-log
10×distribute-lft-out
7×pow1
6×rem-log-exp associate-/r/
4×cbrt-prod flip3-+ add-cbrt-cube flip-+ add-log-exp
3×log-div div-exp log-pow div-inv
2×cbrt-div
1×pow1/3
Counts
4 → 101
Calls
4 calls:
35.0ms
(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
5.0ms
(log (/ y (+ z y)))
5.0ms
(log (/ y (+ z y)))
5.0ms
(log (/ y (+ z y)))

series96.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
12.0ms
(log (/ y (+ z y)))
12.0ms
(log (/ y (+ z y)))
12.0ms
(log (/ y (+ z y)))

simplify104.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0389911
11032842
23263799
35002797

prune159.0ms

Filtered
113 candidates to 83 candidates (26.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1112113
Fresh022
Picked101
Done011
Total1125117

Merged error: 0.5b

Counts
117 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

9.3b
(log (/ y (+ z y)))
9.3b
(log (/ y (+ z y)))
9.3b
(log (/ y (+ z y)))
9.3b
(log (/ y (+ z y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
72×log-prod
60×*-un-lft-identity
48×times-frac
36×add-sqr-sqrt add-cube-cbrt
16×add-exp-log
12×distribute-lft-out
8×pow1 rem-log-exp associate-/r/
4×log-div flip3-+ div-exp log-pow add-cbrt-cube flip-+ div-inv add-log-exp
Counts
4 → 116
Calls
4 calls:
5.0ms
(log (/ y (+ z y)))
5.0ms
(log (/ y (+ z y)))
5.0ms
(log (/ y (+ z y)))
5.0ms
(log (/ y (+ z y)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(log (/ y (+ z y)))
12.0ms
(log (/ y (+ z y)))
15.0ms
(log (/ y (+ z y)))
12.0ms
(log (/ y (+ z y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 3 (22.0ms)

IterNodesCost
0160808
1336744
2778712
32013704
45001704

prune167.0ms

Filtered
128 candidates to 92 candidates (28.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh033
Picked011
Done011
Total1285133

Merged error: 0.5b

Counts
133 → 5

regimes389.0ms

Accuracy

0% (0.5b remaining)

Error of 1.2b against oracle of 0.6b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02016
12016

end0.0ms

sample1.9s

Algorithm
intervals
Results
409.0ms774×body1280valid
407.0ms6492×body80valid
314.0ms960×body640valid
143.0ms3024×body80nan
121.0ms546×body320valid
41.0ms299×body160valid

Profiling

Loading profile data...