Details

Time bar (total: 3.6s)

sample61.0ms

Algorithm
intervals
Results
12.0ms210×body80valid
9.0ms17×body1280valid
8.0ms27×body640valid
5.0ms26×body320valid
5.0ms114×body80nan
1.0ms10×body160valid

simplify110.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1277
2547
31097
43077
57777
641457
750027

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.0b

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))))
8.8b
(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:
31.0ms
(+ 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)))

series55.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
5.0ms
(/ y (+ z y))
14.0ms
(* y (log (/ y (+ z y))))
15.0ms
(log (/ y (+ z y)))

simplify49.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04121027
11668939
25002913

prune154.0ms

Filtered
90 candidates to 141 candidates (-56.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1383141
Fresh000
Picked101
Done000
Total1393142

Merged error: 0.2b

Counts
142 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ z y))
0.5b
(cbrt (+ z y))
3.0b
(log (/ (cbrt y) (cbrt (+ z y))))
3.0b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite31.0ms

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))
8.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
10.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series112.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (+ z y))
34.0ms
(cbrt (+ z y))
24.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
24.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify113.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
03781556
19271492
237611430
350021430

prune177.0ms

Filtered
106 candidates to 158 candidates (-49.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1580158
Fresh022
Picked011
Done000
Total1583161

Merged error: 0.2b

Counts
161 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ z y))
0.5b
(cbrt (+ z y))
0.5b
(cbrt (+ z y))
33.3b
(log (/ (/ y (* (cbrt (+ z y)) (cbrt (+ z y)))) (cbrt (+ z y))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
126×times-frac
111×log-prod
92×cbrt-div
88×*-un-lft-identity
72×cbrt-prod
58×associate-/r/
52×add-sqr-sqrt add-cube-cbrt
46×flip3-+ flip-+
28×frac-times
18×distribute-lft-out
14×add-exp-log associate-*r/ associate-*l/
8×div-inv
5×pow1 div-exp
4×rem-log-exp add-cbrt-cube add-log-exp
3×pow1/3
1×log-div prod-exp log-pow
Counts
4 → 166
Calls
4 calls:
3.0ms
(cbrt (+ z y))
3.0ms
(cbrt (+ z y))
3.0ms
(cbrt (+ z y))
20.0ms
(log (/ (/ y (* (cbrt (+ z y)) (cbrt (+ z y)))) (cbrt (+ z y))))

series110.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (+ z y))
30.0ms
(cbrt (+ z y))
33.0ms
(cbrt (+ z y))
16.0ms
(log (/ (/ y (* (cbrt (+ z y)) (cbrt (+ z y)))) (cbrt (+ z y))))

simplify71.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
08822923
125342866
250012747

prune232.0ms

Filtered
120 candidates to 178 candidates (-48.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1780178
Fresh011
Picked011
Done011
Total1783181

Merged error: 0.2b

Counts
181 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(* (cbrt y) (cbrt y))
33.5b
(log (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ z y))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod add-sqr-sqrt
19×add-exp-log
17×pow1
14×add-cube-cbrt *-un-lft-identity
8×pow1/3
7×prod-exp
6×swap-sqr associate-*r* associate-*l*
5×rem-log-exp pow-prod-down
4×add-cbrt-cube add-log-exp unswap-sqr
3×log-pow
2×div-exp pow-sqr pow-prod-up
1×pow2 log-div log-prod pow-plus associate-*r/ *-commutative cbrt-unprod
Counts
4 → 79
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
6.0ms
(* (cbrt y) (cbrt y))
12.0ms
(log (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ z y))))

series87.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
22.0ms
(cbrt y)
27.0ms
(* (cbrt y) (cbrt y))
15.0ms
(log (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ z y))))

simplify91.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0178432
1565386
22838324
35001305

prune98.0ms

Filtered
61 candidates to 91 candidates (-49.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New91091
Fresh000
Picked011
Done022
Total91394

Merged error: 0.2b

Counts
94 → 3

regimes140.0ms

Accuracy

0% (0.7b remaining)

Error of 1.1b against oracle of 0.4b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02016
12016

end0.0ms

sample1.8s

Algorithm
intervals
Results
385.0ms6516×body80valid
374.0ms733×body1280valid
296.0ms959×body640valid
143.0ms3191×body80nan
118.0ms578×body320valid
44.0ms339×body160valid

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