Details

Time bar (total: 6.6s)

sample66.0ms

Algorithm
intervals
Results
17.0ms30×body1280valid
15.0ms200×body80valid
10.0ms28×body640valid
5.0ms107×body80nan
4.0ms18×body320valid
1.0ms7×body160valid

simplify124.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0187
1277
2547
31097
43077
57777
641457
750027

prune3.0ms

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: 5.0b

Counts
2 → 1

localize11.0ms

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))))
8.6b
(log (/ y (+ z y)))

rewrite35.0ms

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

series407.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ y (+ z y))
234.0ms
(exp (* y (log (/ y (+ z y)))))
79.0ms
(* y (log (/ y (+ z y))))
53.0ms
(log (/ y (+ z y)))

simplify65.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05241242
120381155
250011146

prune313.0ms

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

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z y))
0.0b
(pow (exp y) (log (/ y (+ z y))))
8.6b
(log (/ y (+ z y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
36×log-prod times-frac
31×add-sqr-sqrt add-cube-cbrt
18×unpow-prod-up
10×distribute-lft-out
8×add-exp-log
6×pow1 associate-/r/
5×add-cbrt-cube
4×pow-unpow pow-pow associate-/r*
3×unpow-prod-down exp-prod flip3-+ flip-+ div-inv associate-/l* add-log-exp
2×log-div div-exp rem-log-exp log-pow
1×cbrt-undiv pow-to-exp frac-2neg pow-exp clear-num pow-sub sqr-pow
Counts
3 → 102
Calls
3 calls:
8.0ms
(/ y (+ z y))
8.0ms
(pow (exp y) (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series238.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ y (+ z y))
147.0ms
(pow (exp y) (log (/ y (+ z y))))
50.0ms
(log (/ y (+ z y)))

simplify49.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0420748
11486720
25002700

prune254.0ms

Filtered
111 candidates to 79 candidates (71.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1110111
Fresh022
Picked011
Done000
Total1113114

Merged error: 0.0b

Counts
114 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.0b
(pow (/ (cbrt y) (cbrt (+ z y))) y)
2.2b
(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
61×unpow-prod-down
51×cbrt-prod
48×*-un-lft-identity
43×times-frac
36×add-sqr-sqrt add-cube-cbrt
20×add-exp-log
14×cbrt-div
10×associate-/r/
7×flip3-+ pow-exp flip-+
6×pow1 pow-unpow distribute-lft-out
5×div-exp
4×frac-times prod-exp add-cbrt-cube add-log-exp
2×pow-to-exp pow-pow pow1/3 associate-*r/ associate-*l/ div-inv sqr-pow
Counts
4 → 116
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
12.0ms
(pow (/ (cbrt y) (cbrt (+ z y))) y)
21.0ms
(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series950.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(cbrt y)
190.0ms
(cbrt y)
276.0ms
(pow (/ (cbrt y) (cbrt (+ z y))) y)
290.0ms
(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify66.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
06911332
121801264
250011235

prune380.0ms

Filtered
128 candidates to 88 candidates (68.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1271128
Fresh011
Picked011
Done101
Total1283131

Merged error: 0.0b

Counts
131 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
1.0b
(pow (/ (cbrt y) (cbrt (+ z y))) y)
1.0b
(pow (/ (cbrt y) (cbrt (+ z y))) y)
1.0b
(pow (/ (cbrt y) (cbrt (+ z y))) y)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
144×unpow-prod-down
138×cbrt-prod
126×times-frac
125×*-un-lft-identity
89×add-sqr-sqrt add-cube-cbrt
18×distribute-lft-out
13×add-exp-log
9×pow-unpow
7×pow1
6×cbrt-div pow-exp associate-/r/
4×add-cbrt-cube add-log-exp
3×pow-to-exp pow-pow flip3-+ div-exp flip-+ div-inv sqr-pow
1×pow1/3
Counts
4 → 200
Calls
4 calls:
1.0ms
(cbrt y)
12.0ms
(pow (/ (cbrt y) (cbrt (+ z y))) y)
12.0ms
(pow (/ (cbrt y) (cbrt (+ z y))) y)
12.0ms
(pow (/ (cbrt y) (cbrt (+ z y))) y)

series1.0s

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt y)
279.0ms
(pow (/ (cbrt y) (cbrt (+ z y))) y)
281.0ms
(pow (/ (cbrt y) (cbrt (+ z y))) y)
279.0ms
(pow (/ (cbrt y) (cbrt (+ z y))) y)

simplify66.0ms

Algorithm
egg-herbie
Counts
212 → 212
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04602316
115062295
250022214

prune581.0ms

Filtered
212 candidates to 135 candidates (63.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2120212
Fresh011
Picked011
Done011
Total2123215

Merged error: 0.0b

Counts
215 → 3

regimes57.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01519
11519

end0.0ms

sample1.7s

Algorithm
intervals
Results
421.0ms6548×body80valid
394.0ms762×body1280valid
309.0ms948×body640valid
151.0ms3033×body80nan
123.0ms556×body320valid
45.0ms321×body160valid

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