Details

Time bar (total: 10.8s)

sample428.0ms

Algorithm
intervals
Results
88.0ms1217×body80nan
29.0ms302×body80valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03811
110111
242811
3151411
4462011
5500111

prune6.0ms

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: 0.1b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (+ (* x (log y)) z) t) a)
0.0b
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.1b
(* (- b 0.5) (log c))
0.3b
(* x (log y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
27×add-log-exp
21×*-un-lft-identity
20×add-sqr-sqrt
18×log-prod
16×sum-log
14×add-cube-cbrt
10×pow1
distribute-rgt-in distribute-lft-in
add-exp-log associate-*r* associate-*l* add-cbrt-cube
associate-+r+ associate-*l/
flip3-+ frac-add flip-+
flip3-- flip-- distribute-lft-out
+-commutative associate-+l+ pow-prod-down prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
distribute-lft-out-- difference-of-squares
Counts
4 → 95
Calls
4 calls:
9.0ms
(+ (+ (+ (* x (log y)) z) t) a)
15.0ms
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
7.0ms
(* (- b 0.5) (log c))
4.0ms
(* x (log y))

series101.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(+ (+ (+ (* x (log y)) z) t) a)
65.0ms
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
9.0ms
(* (- b 0.5) (log c))
7.0ms
(* x (log y))

simplify61.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0608910
12382858
25001812

prune182.0ms

Filtered
107 candidates to 71 candidates (33.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New998107
Fresh000
Picked101
Done000
Total1008108

Merged error: 0.0b

Counts
108 → 8

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt c) (cbrt c))
0.6b
(cbrt c)
0.6b
(cbrt c)
0.6b
(cbrt c)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt c) (cbrt c))
1.0ms
(cbrt c)
1.0ms
(cbrt c)
1.0ms
(cbrt c)

series92.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt c) (cbrt c))
24.0ms
(cbrt c)
21.0ms
(cbrt c)
22.0ms
(cbrt c)

simplify73.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune157.0ms

Filtered
85 candidates to 56 candidates (34.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New83285
Fresh077
Picked101
Done000
Total84993

Merged error: 0.0b

Counts
93 → 9

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (log (pow c 2/3)) (- b 0.5))
0.3b
(* x (log y))
0.6b
(cbrt c)
6.1b
(pow c 2/3)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt
10×pow1
add-exp-log associate-*r*
add-cbrt-cube
associate-*l*
log-prod
distribute-rgt-in distribute-lft-in
add-log-exp
cbrt-prod unpow-prod-down pow-unpow
sub-neg associate-*r/ pow-prod-down prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
pow-to-exp flip3-- pow-pow pow1/3 pow-exp flip-- distribute-lft-out-- difference-of-squares sqr-pow
Counts
4 → 80
Calls
4 calls:
6.0ms
(* (log (pow c 2/3)) (- b 0.5))
4.0ms
(* x (log y))
1.0ms
(cbrt c)
2.0ms
(pow c 2/3)

series72.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (log (pow c 2/3)) (- b 0.5))
7.0ms
(* x (log y))
23.0ms
(cbrt c)
19.0ms
(pow c 2/3)

simplify46.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0405430
11483376
25002322

prune186.0ms

Filtered
92 candidates to 58 candidates (37.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New91192
Fresh178
Picked101
Done000
Total938101

Merged error: 0.0b

Counts
101 → 8

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(* b 2/3)
0.3b
(* 0.3333333333333333 (log c))
0.3b
(* (log c) (* b 2/3))
0.6b
(cbrt c)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×pow1
13×add-exp-log add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity
10×associate-*l*
associate-*r*
log-prod
pow-prod-down prod-exp cbrt-unprod
add-log-exp
cbrt-prod distribute-rgt-in distribute-lft-in *-commutative
log-pow unswap-sqr
pow1/3
Counts
4 → 73
Calls
4 calls:
3.0ms
(* b 2/3)
4.0ms
(* 0.3333333333333333 (log c))
5.0ms
(* (log c) (* b 2/3))
1.0ms
(cbrt c)

series46.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* b 2/3)
12.0ms
(* 0.3333333333333333 (log c))
11.0ms
(* (log c) (* b 2/3))
21.0ms
(cbrt c)

simplify83.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
0261317
1954271
23628249
35001248

prune91.0ms

Filtered
85 candidates to 52 candidates (38.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh077
Picked011
Done000
Total85893

Merged error: 0.0b

Counts
93 → 8

regimes1.8s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04119
14119

end0.0ms

sample7.1s

Algorithm
intervals
Results
2.9s40749×body80nan
757.0ms9161×body80valid
1.0msbody640valid
1.0msbody320valid
1.0msbody1280valid
0.0msbody160valid

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