Details

Time bar (total: 4.7s)

sample57.0ms

Algorithm
intervals
Results
13.0ms22×body1280valid
12.0ms216×body80valid
10.0ms32×body640valid
4.0ms101×body80nan
4.0ms20×body320valid
1.0ms5×body160valid

simplify115.0ms

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: 4.8b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
90×log-prod
72×times-frac
57×add-sqr-sqrt
55×add-cube-cbrt
36×distribute-rgt-in distribute-lft-in exp-sum
19×distribute-lft-out
12×associate-/r/
11×add-exp-log
8×pow1 add-cbrt-cube
6×flip3-+ flip-+ div-inv add-log-exp
4×associate-*r* associate-/r*
3×associate-*l* associate-/l*
2×div-exp rem-log-exp log-pow
1×cbrt-undiv log-div exp-prod exp-to-pow frac-2neg pow-prod-down prod-exp clear-num *-commutative cbrt-unprod rem-exp-log unswap-sqr
Counts
4 → 163
Calls
4 calls:
5.0ms
(/ y (+ z y))
7.0ms
(exp (* y (log (/ y (+ z y)))))
8.0ms
(* y (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series608.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ y (+ z y))
432.0ms
(exp (* y (log (/ y (+ z y)))))
78.0ms
(* y (log (/ y (+ z y))))
51.0ms
(log (/ y (+ z y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05241242
120381155
250011146

prune302.0ms

Filtered
175 candidates to 100 candidates (57.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1723175
Fresh000
Picked101
Done000
Total1733176

Merged error: 0.0b

Counts
176 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
36×log-prod times-frac
32×add-sqr-sqrt add-cube-cbrt
18×unpow-prod-up
11×distribute-lft-out
9×add-exp-log
7×pow1
6×associate-/r/ add-cbrt-cube add-log-exp
4×pow-unpow pow-pow flip3-+ associate-/r* flip-+
3×unpow-prod-down exp-prod div-inv associate-/l*
2×log-div div-exp rem-log-exp log-pow
1×cbrt-undiv +-commutative pow-to-exp frac-2neg pow-exp clear-num sum-log pow-sub sqr-pow
Counts
4 → 114
Calls
4 calls:
26.0ms
(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
5.0ms
(/ y (+ z y))
7.0ms
(pow (exp y) (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series315.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
39.0ms
(/ y (+ z y))
144.0ms
(pow (exp y) (log (/ y (+ z y))))
47.0ms
(log (/ y (+ z y)))

simplify50.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0508904
11744861
25002842

prune334.0ms

Filtered
126 candidates to 90 candidates (71.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1260126
Fresh022
Picked011
Done000
Total1263129

Merged error: 0.0b

Counts
129 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
5.0ms
(+ x (/ (exp (* -1 z)) y))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(+ x (/ (exp (* -1 z)) y))

simplify117.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
010495
126486
278086
3347486
4500286

prune28.0ms

Filtered
15 candidates to 12 candidates (80.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New15015
Fresh011
Picked011
Done011
Total15318

Merged error: 0.0b

Counts
18 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
30.4b
(log (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ z y))))

rewrite16.0ms

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))))

series621.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(cbrt y)
179.0ms
(cbrt y)
180.0ms
(cbrt y)
69.0ms
(log (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ z y))))

simplify92.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 4 (88.0ms)

IterNodesCost
071248
1159219
2519204
32968194
45001182

prune174.0ms

Filtered
62 candidates to 52 candidates (83.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New62062
Fresh000
Picked011
Done022
Total62365

Merged error: 0.0b

Counts
65 → 3

regimes54.0ms

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
0127
1127

end0.0ms

sample1.6s

Algorithm
intervals
Results
371.0ms756×body1280valid
367.0ms6553×body80valid
281.0ms943×body640valid
130.0ms3028×body80nan
119.0ms579×body320valid
40.0ms303×body160valid

Profiling

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