Details

Time bar (total: 4.9s)

sample120.0ms

Algorithm
intervals
Results
24.0ms26×body1280valid
24.0ms213×body80valid
14.0ms24×body640valid
9.0ms104×body80nan
8.0ms21×body320valid
2.0ms7×body160valid

simplify149.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0187
1277
2547
31097
43077
57777
641457
750027

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: 6.1b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b
(/ y (+ z y))
0.1b
(* y (log (/ y (+ z y))))
8.4b
(log (/ y (+ z y)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
54×log-prod
48×times-frac
41×add-sqr-sqrt
39×add-cube-cbrt
18×distribute-rgt-in distribute-lft-in
14×distribute-lft-out
11×add-exp-log
8×pow1 associate-/r/ add-cbrt-cube
6×add-log-exp
5×flip3-+ flip-+
4×associate-*r* associate-/r* div-inv
3×associate-*l* associate-/l*
2×div-exp rem-log-exp log-pow
1×cbrt-undiv +-commutative log-div frac-2neg pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 129
Calls
4 calls:
32.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
6.0ms
(/ y (+ z y))
8.0ms
(* y (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series65.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
5.0ms
(/ y (+ z y))
14.0ms
(* y (log (/ y (+ z y))))
20.0ms
(log (/ y (+ z y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04121027
11668939
25002913

prune186.0ms

Filtered
141 candidates to 90 candidates (36.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1365141
Fresh000
Picked101
Done000
Total1375142

Merged error: 0.0b

Counts
142 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ z y))
0.6b
(cbrt (+ z y))
2.8b
(log (/ (cbrt y) (cbrt (+ z y))))
2.8b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite30.0ms

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))
8.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
9.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series121.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (+ z y))
42.0ms
(cbrt (+ z y))
23.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
25.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify128.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
03781556
19271492
237611430
350021430

prune215.0ms

Filtered
158 candidates to 106 candidates (32.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1580158
Fresh044
Picked011
Done000
Total1585163

Merged error: 0.0b

Counts
163 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
8.4b
(log (/ y (+ z y)))
8.4b
(log (/ y (+ z y)))
8.4b
(log (/ y (+ z y)))

rewrite69.0ms

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:
48.0ms
(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)))

series117.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
12.0ms
(log (/ y (+ z y)))
21.0ms
(log (/ y (+ z y)))
13.0ms
(log (/ y (+ z y)))

simplify119.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
0389911
11032842
23263799
35002797

prune354.0ms

Filtered
113 candidates to 83 candidates (26.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1121113
Fresh033
Picked011
Done011
Total1126118

Merged error: 0.0b

Counts
118 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

8.4b
(log (/ y (+ z y)))
8.4b
(log (/ y (+ z y)))
8.4b
(log (/ y (+ z y)))
8.4b
(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)))

series47.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(log (/ y (+ z y)))
11.0ms
(log (/ y (+ z y)))
12.0ms
(log (/ y (+ z y)))
12.0ms
(log (/ y (+ z y)))

simplify72.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 3 (19.0ms)

IterNodesCost
0160808
1336744
2778712
32013704
45001704

prune149.0ms

Filtered
128 candidates to 92 candidates (28.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1280128
Fresh033
Picked011
Done022
Total1286134

Merged error: 0.0b

Counts
134 → 6

regimes518.0ms

Accuracy

0% (0.5b remaining)

Error of 1.1b against oracle of 0.7b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02016
12016

end0.0ms

sample2.2s

Algorithm
intervals
Results
482.0ms784×body1280valid
468.0ms6531×body80valid
358.0ms955×body640valid
171.0ms3122×body80nan
141.0ms558×body320valid
50.0ms307×body160valid

Profiling

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