Details

Time bar (total: 4.8s)

sample60.0ms

Algorithm
intervals
Results
16.0ms27×body1280valid
12.0ms201×body80valid
11.0ms36×body640valid
5.0ms105×body80nan
2.0ms12×body320valid
1.0ms9×body160valid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (28.0ms)

IterNodesCost
0187
1277
2547
31117
43147
58017
642176
750016

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.8b

Counts
2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ z y))
0.0b
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.1b
(* y (log (/ y (+ z y))))
8.2b
(log (/ y (+ z y)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
68×*-un-lft-identity
54×log-prod
48×times-frac
42×add-sqr-sqrt
40×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×expm1-log1p-u associate-*r* associate-/r* log1p-expm1-u div-inv
3×fma-def 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 → 140
Calls
4 calls:
5.0ms
(/ y (+ z y))
34.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
8.0ms
(* y (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series225.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ y (+ z y))
68.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
73.0ms
(* y (log (/ y (+ z y))))
45.0ms
(log (/ y (+ z y)))

simplify49.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03951046
11559967
25001936

prune296.0ms

Filtered
152 candidates to 101 candidates (66.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1493152
Fresh101
Picked101
Done000
Total1513154

Merged error: 0.0b

Counts
154 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ z y))
0.6b
(cbrt (+ z y))
1.7b
(log (/ (cbrt y) (cbrt (+ z y))))
1.7b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite28.0ms

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×expm1-log1p-u flip3-+ rem-log-exp associate-/r/ add-cbrt-cube flip-+ log1p-expm1-u add-log-exp
2×log-div pow1/3 div-exp log-pow div-inv
Counts
4 → 154
Calls
4 calls:
3.0ms
(cbrt (+ z y))
3.0ms
(cbrt (+ z y))
7.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
7.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series390.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(cbrt (+ z y))
121.0ms
(cbrt (+ z y))
69.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
75.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify140.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 3 (124.0ms)

IterNodesCost
03611602
19911550
241621518
350011508

prune605.0ms

Filtered
166 candidates to 136 candidates (81.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1660166
Fresh022
Picked011
Done000
Total1663169

Merged error: 0.0b

Counts
169 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
8.2b
(log (/ y (+ z y)))
8.2b
(log (/ y (+ z y)))
8.2b
(log (/ y (+ z y)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
54×log-prod
49×*-un-lft-identity
36×times-frac
29×add-sqr-sqrt add-cube-cbrt
13×add-exp-log
10×distribute-lft-out
7×pow1
6×rem-log-exp associate-/r/
4×cbrt-prod expm1-log1p-u flip3-+ add-cbrt-cube flip-+ log1p-expm1-u add-log-exp
3×log-div div-exp log-pow div-inv
2×cbrt-div
1×pow1/3
Counts
4 → 109
Calls
4 calls:
31.0ms
(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
5.0ms
(log (/ y (+ z y)))
5.0ms
(log (/ y (+ z y)))
7.0ms
(log (/ y (+ z y)))

series354.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
48.0ms
(log (/ y (+ z y)))
44.0ms
(log (/ y (+ z y)))
49.0ms
(log (/ y (+ z y)))

simplify93.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
0339889
1856832
23273805
35001800

prune402.0ms

Filtered
121 candidates to 92 candidates (76.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh011
Picked011
Done011
Total1213124

Merged error: 0.0b

Counts
124 → 3

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 17
Calls
1 calls:
6.0ms
(+ x (/ (exp (* -1 z)) y))

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(+ x (/ (exp (* -1 z)) y))

simplify118.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 4 (115.0ms)

IterNodesCost
0109105
128595
285394
3372694
4500190

prune39.0ms

Filtered
20 candidates to 17 candidates (85.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New20020
Fresh000
Picked011
Done022
Total20323

Merged error: 0.0b

Counts
23 → 3

regimes98.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02016
12016

end0.0ms

sample1.6s

Algorithm
intervals
Results
389.0ms6565×body80valid
368.0ms737×body1280valid
296.0ms971×body640valid
138.0ms3118×body80nan
114.0ms550×body320valid
40.0ms291×body160valid

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