Details

Time bar (total: 6.9s)

sample27.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
6.0ms263×body80nan

simplify33.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1184
2254
3454
4764
51024
61224
71524
82464
93534
105594
115624
125634
135634

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: 14.9b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log (/ x y))) z)
0.3b
(* x (log (/ x y)))
14.4b
(log (/ x y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
82×add-sqr-sqrt
73×*-un-lft-identity
67×add-cube-cbrt
65×log-prod
45×times-frac
39×prod-diff
26×distribute-rgt-in distribute-lft-in associate--l+
20×associate-*r*
16×associate-*l*
13×fma-neg
11×pow1
9×log-div
8×add-exp-log
6×log-pow unswap-sqr
5×*-commutative add-cbrt-cube div-inv associate-/l* add-log-exp
4×log-rec
3×expm1-log1p-u clear-num associate-/r* log1p-expm1-u
2×rem-log-exp distribute-rgt-neg-out distribute-lft-out-- difference-of-squares
1×sub-neg flip3-- frac-2neg diff-log div-exp pow-prod-down prod-exp flip-- cbrt-unprod
Counts
3 → 181
Calls
3 calls:
13.0ms
(- (* x (log (/ x y))) z)
7.0ms
(* x (log (/ x y)))
4.0ms
(log (/ x y))

series161.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(- (* x (log (/ x y))) z)
47.0ms
(* x (log (/ x y)))
41.0ms
(log (/ x y))

simplify63.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05111431
117331126
250011059

prune269.0ms

Filtered
190 candidates to 115 candidates (60.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1837190
Fresh000
Picked011
Done000
Total1838191

Merged error: 0.0b

Counts
191 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.8b
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
960×add-sqr-sqrt
905×cbrt-prod
733×log-prod
729×times-frac
514×*-un-lft-identity
512×add-cube-cbrt
337×associate-*l*
336×swap-sqr associate-*r*
224×unswap-sqr
57×log-div
56×*-commutative
29×associate-/l*
27×associate-/r*
17×add-exp-log
5×pow1 rem-log-exp
4×expm1-log1p-u div-exp prod-exp add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3 log-rec
2×clear-num
1×frac-2neg log-pow div-inv
Counts
4 → 847
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
63.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series659.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt x)
181.0ms
(cbrt x)
182.0ms
(cbrt x)
108.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify174.0ms

Algorithm
egg-herbie
Counts
859 → 859
Iterations

Useful iterations: 1 (56.0ms)

IterNodesCost
0355713695
1500113665

prune2.2s

Filtered
859 candidates to 456 candidates (53.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New8581859
Fresh156
Picked101
Done011
Total8607867

Merged error: 0.0b

Counts
867 → 7

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series735.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(cbrt x)
180.0ms
(cbrt x)
183.0ms
(cbrt x)
175.0ms
(cbrt x)

simplify143.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
042172
183160
2195152
3695152
44069152
55001152

prune307.0ms

Filtered
64 candidates to 56 candidates (87.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New64064
Fresh055
Picked011
Done011
Total64771

Merged error: 0.0b

Counts
71 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
3.5b
(log (/ x (cbrt y)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
23×add-sqr-sqrt add-cube-cbrt
22×log-prod
21×cbrt-prod
18×times-frac
12×log-div
7×add-exp-log
6×associate-/r*
5×pow1
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u associate-/l* add-log-exp
3×pow1/3
2×rem-log-exp log-rec clear-num
1×frac-2neg div-exp log-pow div-inv
Counts
4 → 87
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
5.0ms
(log (/ x (cbrt y)))

series684.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt y)
184.0ms
(cbrt y)
181.0ms
(cbrt y)
140.0ms
(log (/ x (cbrt y)))

simplify52.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0260480
1650453
21891440
35001424

prune258.0ms

Filtered
99 candidates to 80 candidates (80.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh044
Picked011
Done022
Total997106

Merged error: 0.0b

Counts
106 → 7

regimes162.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02827
12827

end0.0ms

sample758.0ms

Algorithm
intervals
Results
249.0ms8044×body80valid
189.0ms8003×body80nan