Details

Time bar (total: 2.4s)

sample9.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
162

prune1.0ms

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: 0.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
fma-def add-log-exp
add-sqr-sqrt add-cube-cbrt
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 (/ 1.0 3.0))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(+ x (/ 1.0 3.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08261
121855
253255
3151455
4500155

prune31.0ms

Filtered
20 candidates to 16 candidates (80.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New18220
Fresh000
Picked011
Done000
Total18321

Merged error: 0.0b

Counts
21 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (+ x (/ 1.0 3.0)))
0.0b
(+ x (/ 1.0 3.0))
1.3b
(expm1 (log1p (+ x (/ 1.0 3.0))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-log-exp
add-sqr-sqrt expm1-log1p-u add-cube-cbrt
pow1 add-exp-log fma-def add-cbrt-cube log1p-expm1-u
+-commutative log1p-udef expm1-log1p flip3-+ log1p-expm1 sum-log flip-+ distribute-lft-out expm1-udef
Counts
3 → 39
Calls
3 calls:
1.0ms
(log1p (+ x (/ 1.0 3.0)))
6.0ms
(+ x (/ 1.0 3.0))
1.0ms
(expm1 (log1p (+ x (/ 1.0 3.0))))

series234.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(log1p (+ x (/ 1.0 3.0)))
16.0ms
(+ x (/ 1.0 3.0))
169.0ms
(expm1 (log1p (+ x (/ 1.0 3.0))))

simplify80.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
0260226
1783208
22838182
35002173

prune78.0ms

Filtered
48 candidates to 37 candidates (77.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New46248
Fresh011
Picked101
Done011
Total47451

Merged error: 0b

Counts
51 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (+ x (/ 1.0 3.0)))
0.0b
(+ x (/ 1.0 3.0))
0.5b
(- (exp (log1p (+ x (/ 1.0 3.0)))) 1)
1.3b
(exp (log1p (+ x (/ 1.0 3.0))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
17×add-sqr-sqrt
13×add-cube-cbrt
prod-diff add-log-exp
expm1-log1p-u
pow1 add-exp-log add-cbrt-cube log1p-expm1-u
exp-prod fma-def fma-neg
log1p-udef rem-exp-log difference-of-squares
+-commutative sub-neg expm1-def flip3-- flip3-+ diff-log difference-of-sqr-1 log1p-expm1 sum-log flip-- flip-+ distribute-lft-out distribute-lft-out--
Counts
4 → 73
Calls
4 calls:
1.0ms
(log1p (+ x (/ 1.0 3.0)))
6.0ms
(+ x (/ 1.0 3.0))
4.0ms
(- (exp (log1p (+ x (/ 1.0 3.0)))) 1)
2.0ms
(exp (log1p (+ x (/ 1.0 3.0))))

series393.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(log1p (+ x (/ 1.0 3.0)))
18.0ms
(+ x (/ 1.0 3.0))
173.0ms
(- (exp (log1p (+ x (/ 1.0 3.0)))) 1)
159.0ms
(exp (log1p (+ x (/ 1.0 3.0))))

simplify156.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (143.0ms)

IterNodesCost
0383577
11322480
24944410
35001380

prune127.0ms

Filtered
85 candidates to 60 candidates (70.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done011
Total85489

Merged error: 0b

Counts
89 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (log1p (+ x (/ 1.0 3.0))))
0.6b
(cbrt (log1p (+ x (/ 1.0 3.0))))
0.6b
(cbrt (log1p (+ x (/ 1.0 3.0))))
1.3b
(expm1 (* (* (cbrt (log1p (+ x (/ 1.0 3.0)))) (cbrt (log1p (+ x (/ 1.0 3.0))))) (cbrt (log1p (+ x (/ 1.0 3.0))))))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
log1p-expm1-u
pow1 add-exp-log expm1-log1p-u add-cbrt-cube add-log-exp
pow1/3
expm1-log1p expm1-udef
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt (log1p (+ x (/ 1.0 3.0))))
1.0ms
(cbrt (log1p (+ x (/ 1.0 3.0))))
1.0ms
(cbrt (log1p (+ x (/ 1.0 3.0))))
1.0ms
(expm1 (* (* (cbrt (log1p (+ x (/ 1.0 3.0)))) (cbrt (log1p (+ x (/ 1.0 3.0))))) (cbrt (log1p (+ x (/ 1.0 3.0))))))

series615.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(cbrt (log1p (+ x (/ 1.0 3.0))))
149.0ms
(cbrt (log1p (+ x (/ 1.0 3.0))))
149.0ms
(cbrt (log1p (+ x (/ 1.0 3.0))))
174.0ms
(expm1 (* (* (cbrt (log1p (+ x (/ 1.0 3.0)))) (cbrt (log1p (+ x (/ 1.0 3.0))))) (cbrt (log1p (+ x (/ 1.0 3.0))))))

simplify144.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (131.0ms)

IterNodesCost
0324816
11067743
24590662
35001659

prune173.0ms

Filtered
62 candidates to 57 candidates (91.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New62062
Fresh011
Picked011
Done022
Total62466

Merged error: 0b

Counts
66 → 4

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062
162

end0.0ms

sample209.0ms

Algorithm
intervals
Results
123.0ms8000×body80valid

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