Details

Time bar (total: 5.3s)

sample60.0ms

Algorithm
intervals
Results
15.0ms215×body80valid
13.0ms24×body1280valid
10.0ms31×body640valid
5.0ms102×body80nan
3.0ms16×body320valid
1.0ms6×body160valid

simplify116.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1277
2547
31097
43077
57777
641457
750027

prune2.0ms

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: 5.9b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b
(exp (* y (log (/ y (+ z y)))))
0.1b
(* y (log (/ y (+ z y))))
8.5b
(log (/ y (+ z y)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
90×log-prod
78×*-un-lft-identity
60×times-frac
48×add-sqr-sqrt
46×add-cube-cbrt
36×distribute-rgt-in distribute-lft-in exp-sum
16×distribute-lft-out
10×associate-/r/
9×add-exp-log
8×pow1 add-log-exp
6×flip3-+ add-cbrt-cube flip-+
5×div-inv
4×associate-*r*
3×associate-*l*
2×rem-log-exp log-pow
1×+-commutative log-div exp-prod exp-to-pow div-exp pow-prod-down prod-exp sum-log *-commutative cbrt-unprod rem-exp-log unswap-sqr
Counts
4 → 142
Calls
4 calls:
34.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
7.0ms
(exp (* y (log (/ y (+ z y)))))
9.0ms
(* y (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series422.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
226.0ms
(exp (* y (log (/ y (+ z y)))))
77.0ms
(* y (log (/ y (+ z y))))
47.0ms
(log (/ y (+ z y)))

simplify57.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
05651245
119241150
250011130

prune264.0ms

Filtered
154 candidates to 87 candidates (56.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1504154
Fresh000
Picked101
Done000
Total1514155

Merged error: 0.0b

Counts
155 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ z y))
0.5b
(cbrt (+ z y))
3.1b
(log (/ (cbrt y) (cbrt (+ z y))))
3.1b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite29.0ms

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:
4.0ms
(cbrt (+ z y))
3.0ms
(cbrt (+ z y))
7.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
7.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series397.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(cbrt (+ z y))
126.0ms
(cbrt (+ z y))
72.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
74.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify144.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
03531566
19611516
240571484
350021484

prune600.0ms

Filtered
158 candidates to 128 candidates (81.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1571158
Fresh123
Picked011
Done000
Total1584162

Merged error: 0.0b

Counts
162 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (cbrt y) (cbrt (+ z y)))
0.5b
(cbrt y)
0.5b
(cbrt (+ z y))
3.1b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
104×cbrt-prod
91×*-un-lft-identity
84×times-frac
63×add-sqr-sqrt add-cube-cbrt
48×log-prod
14×distribute-lft-out
9×add-exp-log
7×associate-/r*
6×cbrt-div associate-/l*
5×pow1
4×associate-/r/ add-cbrt-cube add-log-exp
3×flip3-+ flip-+
2×pow1/3 div-exp rem-log-exp div-inv
1×cbrt-undiv log-div frac-2neg clear-num log-pow
Counts
4 → 153
Calls
4 calls:
7.0ms
(/ (cbrt y) (cbrt (+ z y)))
1.0ms
(cbrt y)
3.0ms
(cbrt (+ z y))
7.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series499.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(/ (cbrt y) (cbrt (+ z y)))
179.0ms
(cbrt y)
124.0ms
(cbrt (+ z y))
73.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify47.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03941444
111391407
250011386

prune545.0ms

Filtered
165 candidates to 134 candidates (81.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1650165
Fresh022
Picked011
Done011
Total1654169

Merged error: 0.0b

Counts
169 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (exp (* -1 z)) y))
0.0b
(/ (exp (* -1 z)) y)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-log-exp
3×add-exp-log associate-/r* associate-/l*
2×pow1
1×cbrt-undiv +-commutative exp-neg frac-2neg mul-1-neg flip3-+ div-exp clear-num sum-log flip-+ div-inv associate-/l/ distribute-lft-out
Counts
2 → 40
Calls
2 calls:
5.0ms
(+ x (/ (exp (* -1 z)) y))
4.0ms
(/ (exp (* -1 z)) y)

series40.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ x (/ (exp (* -1 z)) y))
19.0ms
(/ (exp (* -1 z)) y)

simplify63.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0176274
1464258
21971255
35003255

prune81.0ms

Filtered
46 candidates to 35 candidates (76.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New46046
Fresh011
Picked011
Done022
Total46450

Merged error: 0.0b

Counts
50 → 4

regimes120.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02016
12016

end0.0ms

sample1.7s

Algorithm
intervals
Results
402.0ms796×body1280valid
385.0ms6548×body80valid
291.0ms925×body640valid
138.0ms3083×body80nan
110.0ms523×body320valid
42.0ms321×body160valid

Profiling

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