Details

Time bar (total: 12.2s)

sample67.0ms

Algorithm
intervals
Results
17.0ms33×body1280valid
12.0ms200×body80valid
8.0ms26×body640valid
4.0ms20×body320valid
3.0ms77×body80nan
2.0ms15×body160valid

simplify117.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1277
2547
31097
43077
57777
641457
750027

prune5.0ms

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: 5.4b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (exp (* y (log (/ y (+ z y))))) y)
0.0b
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.1b
(* y (log (/ y (+ z y))))
7.9b
(log (/ y (+ z y)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
249×times-frac
206×*-un-lft-identity
198×log-prod
144×exp-sum
140×add-sqr-sqrt
138×add-cube-cbrt
90×distribute-rgt-in distribute-lft-in
39×associate-/l*
34×distribute-lft-out
22×associate-/r/
12×flip3-+ flip-+ div-inv
10×add-exp-log
8×pow1 add-cbrt-cube
6×add-log-exp
4×associate-*r*
3×associate-*l* associate-/r*
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 → 267
Calls
4 calls:
14.0ms
(/ (exp (* y (log (/ y (+ z y))))) y)
35.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
8.0ms
(* y (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series407.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(/ (exp (* y (log (/ y (+ z y))))) y)
88.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
99.0ms
(* y (log (/ y (+ z y))))
61.0ms
(log (/ y (+ z y)))

simplify86.0ms

Algorithm
egg-herbie
Counts
279 → 279
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
08523026
126492601
250022592

prune2.9s

Filtered
279 candidates to 158 candidates (43.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2754279
Fresh000
Picked101
Done000
Total2764280

Merged error: 0.0b

Counts
280 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
4.0b
(log (/ (cbrt y) (cbrt (+ z y))))
4.3b
(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
61×log-prod
51×cbrt-prod
46×*-un-lft-identity
43×times-frac
34×add-sqr-sqrt add-cube-cbrt
20×add-exp-log
14×cbrt-div
10×associate-/r/
7×flip3-+ rem-log-exp flip-+
6×pow1 distribute-lft-out
5×div-exp
4×frac-times prod-exp add-cbrt-cube add-log-exp
2×log-div pow1/3 associate-*r/ associate-*l/ log-pow div-inv
Counts
4 → 108
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
8.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
14.0ms
(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

series609.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(cbrt y)
208.0ms
(cbrt y)
89.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
104.0ms
(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

simplify96.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
04381158
111011086
235411042
350021000

prune2.0s

Filtered
120 candidates to 88 candidates (26.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1200120
Fresh033
Picked011
Done000
Total1204124

Merged error: 0.0b

Counts
124 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (exp 0) 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:
6.0ms
(+ x (/ (exp 0) y))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(+ x (/ (exp 0) y))

simplify134.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 4 (53.0ms)

IterNodesCost
07974
125361
270659
3163058
4489257
5500157

prune36.0ms

Filtered
15 candidates to 12 candidates (20.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New14115
Fresh022
Picked011
Done011
Total14519

Merged error: 0.0b

Counts
19 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ (exp (* y (log (/ y (+ z y))))) y))
7.9b
(log (/ y (+ z y)))
7.9b
(log (/ y (+ z y)))
7.9b
(log (/ y (+ z y)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
225×times-frac
173×*-un-lft-identity
162×log-prod
121×cbrt-prod
119×add-sqr-sqrt add-cube-cbrt
108×exp-sum
54×distribute-rgt-in distribute-lft-in
27×distribute-lft-out
18×associate-/r/
13×add-exp-log
10×div-inv
9×flip3-+ flip-+
7×pow1
6×rem-log-exp
4×add-cbrt-cube add-log-exp
3×log-div div-exp log-pow
1×cbrt-div pow1/3
Counts
4 → 217
Calls
4 calls:
15.0ms
(cbrt (/ (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)))

series659.0ms

Counts
4 → 12
Calls
4 calls:
463.0ms
(cbrt (/ (exp (* y (log (/ y (+ z y))))) y))
63.0ms
(log (/ y (+ z y)))
64.0ms
(log (/ y (+ z y)))
69.0ms
(log (/ y (+ z y)))

simplify73.0ms

Algorithm
egg-herbie
Counts
229 → 229
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
09352955
119082841
250012839

prune2.7s

Filtered
229 candidates to 132 candidates (42.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2290229
Fresh022
Picked011
Done022
Total2295234

Merged error: 0.0b

Counts
234 → 5

regimes262.0ms

Accuracy

61.5% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.0b

bsearch47.0ms

Steps
ItersRangePoint
8
1.9646811760377043e-11
2.6362221643465554e-08
2.6058988248271575e-08

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0207
1207

end0.0ms

sample1.8s

Algorithm
intervals
Results
388.0ms769×body1280valid
379.0ms6557×body80valid
298.0ms959×body640valid
136.0ms3020×body80nan
120.0ms589×body320valid
40.0ms308×body160valid

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