Details

Time bar (total: 5.2s)

analyze940.0ms

Algorithm
search

sample64.0ms

Algorithm
intervals
Results
16.0ms191×body80valid
16.0ms31×body1280valid
5.0ms17×body640valid
3.0ms10×body640invalid
2.0ms11×body320invalid
2.0ms4×body1280invalid
2.0ms34×body80nan
2.0ms8×body320valid
1.0ms9×body160valid
1.0ms13×body80invalid
0.0ms4×body160invalid

simplify119.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1277
2547
31097
43077
57777
641457
750027

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.0b

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))))
8.5b
(log (/ y (+ z y)))

rewrite57.0ms

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:
34.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
5.0ms
(/ y (+ z y))
8.0ms
(* y (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series50.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
6.0ms
(/ y (+ z y))
13.0ms
(* y (log (/ y (+ z y))))
11.0ms
(log (/ y (+ z y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04121027
11668939
25002913

prune157.0ms

Filtered
90 candidates to 141 candidates (-56.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1374141
Fresh000
Picked101
Done000
Total1384142

Merged error: 0.0b

Counts
142 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
3.0b
(log (/ (cbrt y) (cbrt (+ z y))))
3.0b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
96×cbrt-prod log-prod
84×*-un-lft-identity times-frac
60×add-sqr-sqrt add-cube-cbrt
12×distribute-lft-out
10×add-exp-log
6×pow1
4×cbrt-div rem-log-exp associate-/r/ add-cbrt-cube add-log-exp
2×log-div flip3-+ pow1/3 div-exp log-pow flip-+ div-inv
Counts
4 → 140
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
7.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
7.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series90.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
24.0ms
(cbrt y)
22.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
23.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify76.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
03361450
17421380
221841330
350011322

prune170.0ms

Filtered
102 candidates to 152 candidates (-49.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1520152
Fresh033
Picked011
Done000
Total1524156

Merged error: 0.0b

Counts
156 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
8.5b
(log (/ y (+ z y)))
8.5b
(log (/ y (+ z y)))
8.5b
(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:
30.0ms
(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
8.0ms
(log (/ y (+ z y)))
6.0ms
(log (/ y (+ z y)))
5.0ms
(log (/ y (+ z y)))

series93.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
14.0ms
(log (/ y (+ z y)))
12.0ms
(log (/ y (+ z y)))
12.0ms
(log (/ y (+ z y)))

simplify107.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0389911
11032842
23263799
35002797

prune134.0ms

Filtered
83 candidates to 113 candidates (-36.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh022
Picked011
Done011
Total1134117

Merged error: 0.0b

Counts
117 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
31.5b
(log (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ z y))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
10×pow1
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×prod-exp
5×rem-log-exp
4×add-cbrt-cube add-log-exp
3×pow1/3 pow-prod-down log-pow
2×div-exp
1×log-div log-prod associate-*r/
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
11.0ms
(log (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ z y))))

series78.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
22.0ms
(cbrt y)
21.0ms
(cbrt y)
14.0ms
(log (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ z y))))

simplify48.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (14.0ms)

IterNodesCost
091288
1175255
2468216
31704195
45002195

prune77.0ms

Filtered
49 candidates to 62 candidates (-26.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New62062
Fresh011
Picked011
Done022
Total62466

Merged error: 0.0b

Counts
66 → 4

regimes268.0ms

Accuracy

0% (0.8b remaining)

Error of 1.2b against oracle of 0.3b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02016
12016

end0.0ms

analyze889.0ms

Algorithm
search

sample1.6s

Algorithm
intervals
Results
377.0ms709×body1280valid
375.0ms6012×body80valid
208.0ms650×body640valid
92.0ms416×body320valid
69.0ms227×body640invalid
49.0ms1073×body80nan
49.0ms105×body1280invalid
41.0ms198×body320invalid
29.0ms213×body160valid
19.0ms323×body80invalid
11.0ms89×body160invalid

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