Details

Time bar (total: 3.5s)

sample57.0ms

Algorithm
intervals
Results
12.0ms205×body80valid
10.0ms21×body1280valid
9.0ms27×body640valid
5.0ms24×body320valid
3.0ms67×body80nan
2.0ms15×body160valid

simplify113.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1277
2547
31097
43077
57777
641457
750027

prune3.0ms

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: 7.5b

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))))
9.6b
(log (/ y (+ z y)))

rewrite55.0ms

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:
29.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
5.0ms
(/ y (+ z y))
11.0ms
(* y (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series52.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
5.0ms
(/ y (+ z y))
16.0ms
(* y (log (/ y (+ z y))))
12.0ms
(log (/ y (+ z y)))

simplify49.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04121027
11668939
25002913

prune155.0ms

Filtered
141 candidates to 90 candidates (36.2%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1374141
Fresh000
Picked101
Done000
Total1384142

Merged error: 0.6b

Counts
142 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.7b
(log (/ (cbrt y) (cbrt (+ z y))))
2.7b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite23.0ms

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))))

series91.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
23.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
26.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify74.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
03361450
17421380
221841330
350011322

prune166.0ms

Filtered
152 candidates to 102 candidates (32.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1511152
Fresh213
Picked011
Done000
Total1533156

Merged error: 0.1b

Counts
156 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ z y))
0.6b
(cbrt (+ z y))
0.6b
(cbrt (+ z y))
31.2b
(log (* (/ 1 (* (cbrt (+ z y)) (cbrt (+ z y)))) (/ y (cbrt (+ z y)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
50×add-exp-log
20×prod-exp
15×div-exp rem-log-exp
13×*-un-lft-identity
12×cbrt-prod
7×pow1 add-sqr-sqrt add-cube-cbrt
6×cbrt-div
4×rec-exp 1-exp add-cbrt-cube add-log-exp
3×log-div flip3-+ pow1/3 flip-+ distribute-lft-out
2×log-pow
1×frac-times log-prod associate-*r/ pow-prod-down associate-*l/
Counts
4 → 70
Calls
4 calls:
3.0ms
(cbrt (+ z y))
3.0ms
(cbrt (+ z y))
3.0ms
(cbrt (+ z y))
17.0ms
(log (* (/ 1 (* (cbrt (+ z y)) (cbrt (+ z y)))) (/ y (cbrt (+ z y)))))

series107.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt (+ z y))
30.0ms
(cbrt (+ z y))
31.0ms
(cbrt (+ z y))
17.0ms
(log (* (/ 1 (* (cbrt (+ z y)) (cbrt (+ z y)))) (/ y (cbrt (+ z y)))))

simplify76.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0206508
1637446
22528397
35001387

prune128.0ms

Filtered
82 candidates to 71 candidates (13.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh011
Picked011
Done011
Total82385

Merged error: 0.1b

Counts
85 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
2.7b
(log (/ (cbrt y) (cbrt (+ z y))))
4.3b
(log (/ (log (exp (cbrt y))) (cbrt (+ z y))))
11.4b
(log (exp (cbrt y)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
127×log-prod
112×cbrt-prod times-frac
109×*-un-lft-identity
77×add-sqr-sqrt add-cube-cbrt
58×log-pow
48×exp-prod
16×distribute-lft-out
14×pow1
10×add-exp-log
5×rem-log-exp
4×cbrt-div associate-/r/ add-cbrt-cube add-log-exp
2×log-div flip3-+ div-exp flip-+ div-inv
1×pow1/3
Counts
4 → 175
Calls
4 calls:
1.0ms
(cbrt y)
7.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
10.0ms
(log (/ (log (exp (cbrt y))) (cbrt (+ z y))))
3.0ms
(log (exp (cbrt y)))

series94.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
23.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
23.0ms
(log (/ (log (exp (cbrt y))) (cbrt (+ z y))))
26.0ms
(log (exp (cbrt y)))

simplify83.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
05771842
111051746
228081689
350011679

prune184.0ms

Filtered
187 candidates to 116 candidates (38.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1870187
Fresh000
Picked011
Done022
Total1873190

Merged error: 0.1b

Counts
190 → 3

regimes137.0ms

Accuracy

0% (0.6b remaining)

Error of 0.9b against oracle of 0.3b 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
398.0ms811×body1280valid
376.0ms6543×body80valid
275.0ms893×body640valid
133.0ms3044×body80nan
113.0ms549×body320valid
43.0ms334×body160valid

Profiling

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