Details

Time bar (total: 9.4s)

sample63.0ms

Algorithm
intervals
Results
12.0ms25×body1280valid
11.0ms208×body80valid
10.0ms34×body640valid
4.0ms21×body320valid
4.0ms100×body80nan
1.0ms5×body160valid

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1277
2547
31097
43077
57777
641457
750027

prune8.0ms

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: 4.6b

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
(/ y (+ z y))
0.1b
(* y (log (/ y (+ z y))))
7.3b
(log (/ y (+ z y)))

rewrite52.0ms

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:
30.0ms
(+ 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)))

series277.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
49.0ms
(/ y (+ z y))
89.0ms
(* y (log (/ y (+ z y))))
61.0ms
(log (/ y (+ z y)))

simplify48.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03811006
11513928
25001904

prune1.2s

Filtered
141 candidates to 90 candidates (36.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1383141
Fresh000
Picked101
Done000
Total1393142

Merged error: 0.0b

Counts
142 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ z y))
0.6b
(cbrt (+ z y))
3.1b
(log (/ (cbrt y) (cbrt (+ z y))))
3.1b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite27.0ms

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))))

series462.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(cbrt (+ z y))
145.0ms
(cbrt (+ z y))
84.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
83.0ms
(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

prune3.4s

Filtered
158 candidates to 128 candidates (19.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1580158
Fresh022
Picked011
Done000
Total1583161

Merged error: 0.0b

Counts
161 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
7.3b
(log (/ y (+ z y)))
7.3b
(log (/ y (+ z y)))
7.3b
(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)))

series420.0ms

Counts
4 → 12
Calls
4 calls:
246.0ms
(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
58.0ms
(log (/ y (+ z y)))
55.0ms
(log (/ y (+ z y)))
60.0ms
(log (/ y (+ z y)))

simplify86.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
0326849
1803793
23079766
35003764

prune694.0ms

Filtered
113 candidates to 83 candidates (26.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh011
Picked011
Done011
Total1133116

Merged error: 0.0b

Counts
116 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (exp (* -1 z)) y))
0.2b
(/ (exp (* -1 z)) y)

rewrite13.0ms

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:
7.0ms
(+ x (/ (exp (* -1 z)) y))
4.0ms
(/ (exp (* -1 z)) y)

series45.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(+ x (/ (exp (* -1 z)) y))
22.0ms
(/ (exp (* -1 z)) y)

simplify62.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0176274
1464258
21971255
35003255

prune102.0ms

Filtered
46 candidates to 35 candidates (23.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New45146
Fresh000
Picked101
Done022
Total46349

Merged error: 0.0b

Counts
49 → 3

regimes262.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02016
12016

end0.0ms

sample1.8s

Algorithm
intervals
Results
381.0ms785×body1280valid
357.0ms6463×body80valid
271.0ms901×body640valid
128.0ms3026×body80nan
125.0ms628×body320valid
40.0ms310×body160valid

Profiling

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