Details

Time bar (total: 2.3s)

sample33.0ms

Algorithm
intervals
Results
11.0ms270×body80valid
3.0ms81×body80overflowed
2.0ms3×body1280valid
2.0ms6×body640valid
1.0ms7×body320valid
0.0ms4×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1195
2195

prune3.0ms

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: 0.5b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (exp x))
0.0b
(- (log (+ 1.0 (exp x))) (* x y))
0.7b
(log (+ 1.0 (exp x)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
8×log-prod
6×add-log-exp
5×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log log-div associate--l+
3×flip3-+ add-cbrt-cube flip-+ distribute-lft-out
2×associate--l-
1×+-commutative sub-neg flip3-- diff-log rem-log-exp sum-log log-pow flip--
Counts
3 → 45
Calls
3 calls:
3.0ms
(+ 1.0 (exp x))
6.0ms
(- (log (+ 1.0 (exp x))) (* x y))
3.0ms
(log (+ 1.0 (exp x)))

series22.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(+ 1.0 (exp x))
9.0ms
(- (log (+ 1.0 (exp x))) (* x y))
11.0ms
(log (+ 1.0 (exp x)))

simplify56.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0207322
1584301
21729298
35001297

prune79.0ms

Filtered
54 candidates to 40 candidates (25.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New50454
Fresh000
Picked011
Done000
Total50555

Merged error: 0.2b

Counts
55 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ 1.0 (exp x)))
0.0b
(sqrt (+ 1.0 (exp x)))
1.4b
(log (sqrt (+ 1.0 (exp x))))
1.4b
(log (sqrt (+ 1.0 (exp x))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
16×sqrt-prod
14×log-prod
12×add-sqr-sqrt
10×pow1 add-cube-cbrt
8×sqrt-div
6×add-exp-log log-pow
4×log-div sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ distribute-lft-out add-log-exp
2×rem-sqrt-square rem-log-exp
Counts
4 → 72
Calls
4 calls:
3.0ms
(sqrt (+ 1.0 (exp x)))
3.0ms
(sqrt (+ 1.0 (exp x)))
4.0ms
(log (sqrt (+ 1.0 (exp x))))
4.0ms
(log (sqrt (+ 1.0 (exp x))))

series34.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (+ 1.0 (exp x)))
4.0ms
(sqrt (+ 1.0 (exp x)))
13.0ms
(log (sqrt (+ 1.0 (exp x))))
13.0ms
(log (sqrt (+ 1.0 (exp x))))

simplify53.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0162564
1453526
21549508
35001496

prune150.0ms

Filtered
84 candidates to 60 candidates (28.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh033
Picked011
Done011
Total84589

Merged error: 0.2b

Counts
89 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b
(log (+ 1.0 (exp x)))
1.1b
(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
1.1b
(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
1.1b
(cbrt (- (log (+ 1.0 (exp x))) (* x y)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt
6×cbrt-div
5×pow1 add-exp-log
4×log-prod add-cbrt-cube add-log-exp
3×flip3-- pow1/3 flip--
2×log-div
1×flip3-+ rem-log-exp log-pow flip-+ distribute-lft-out
Counts
4 → 54
Calls
4 calls:
3.0ms
(log (+ 1.0 (exp x)))
2.0ms
(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
2.0ms
(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
2.0ms
(cbrt (- (log (+ 1.0 (exp x))) (* x y)))

series166.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(log (+ 1.0 (exp x)))
54.0ms
(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
50.0ms
(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
52.0ms
(cbrt (- (log (+ 1.0 (exp x))) (* x y)))

simplify40.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0341921
11230877
25002846

prune214.0ms

Filtered
66 candidates to 59 candidates (10.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New66066
Fresh022
Picked011
Done022
Total66571

Merged error: 0.2b

Counts
71 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/2 (pow x 2))
0.0b
(+ (* 1/2 (pow x 2)) (+ x 2.0))
0.0b
(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
6.1b
(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
10×add-exp-log add-log-exp
9×add-cube-cbrt *-un-lft-identity
8×associate-*r*
6×log-prod add-cbrt-cube
5×pow1
4×unpow-prod-down log-div unswap-sqr
3×flip3-+ associate-*l* prod-exp associate--l+ sum-log flip-+
2×associate--l- unpow2 sqr-pow
1×+-commutative pow-to-exp sub-neg associate-+r+ flip3-- diff-log rem-log-exp pow-exp log-pow *-commutative flip-- cbrt-unprod
Counts
4 → 71
Calls
4 calls:
5.0ms
(* 1/2 (pow x 2))
6.0ms
(+ (* 1/2 (pow x 2)) (+ x 2.0))
8.0ms
(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
6.0ms
(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series22.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 1/2 (pow x 2))
5.0ms
(+ (* 1/2 (pow x 2)) (+ x 2.0))
10.0ms
(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
4.0ms
(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify44.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0371575
11439529
25001520

prune126.0ms

Filtered
83 candidates to 61 candidates (26.5%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New82183
Fresh011
Picked101
Done033
Total83588

Merged error: 0.2b

Counts
88 → 5

regimes146.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample964.0ms

Algorithm
intervals
Results
374.0ms8450×body80valid
92.0ms2405×body80overflowed
84.0ms276×body640valid
57.0ms105×body1280valid
33.0ms177×body320valid
12.0ms108×body160valid

Profiling

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