Details

Time bar (total: 2.1s)

sample38.0ms

Algorithm
intervals
Results
12.0ms266×body80valid
3.0ms92×body80overflowed
3.0ms9×body640valid
1.0ms7×body320valid
1.0ms1×body1280valid
0.0ms3×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0199
1199

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (log (+ 1.0 (exp x))) (* x y))
0.0b
(+ 1.0 (exp x))
0.3b
(log (+ 1.0 (exp x)))

rewrite12.0ms

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:
5.0ms
(- (log (+ 1.0 (exp x))) (* x y))
3.0ms
(+ 1.0 (exp x))
3.0ms
(log (+ 1.0 (exp x)))

series22.0ms

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

simplify27.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
05030508

prune87.0ms

Filtered
39 candidates to 54 candidates (-38.5%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New49554
Fresh000
Picked101
Done000
Total50555

Merged error: 0.2b

Counts
55 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp x) 3)
0.3b
(log (+ (pow 1.0 3) (pow (exp x) 3)))
3.1b
(- (exp x) 1.0)
3.3b
(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×add-sqr-sqrt log-prod
10×add-cube-cbrt
7×pow1 unpow-prod-down cube-prod
6×add-exp-log add-log-exp
5×add-cbrt-cube distribute-lft-out
4×log-div pow-pow
3×pow-unpow exp-prod
2×flip3-+ rem-log-exp log-pow flip-+
1×cube-mult pow-to-exp sub-neg flip3-- diff-log unpow3 pow-exp sum-cubes flip-- distribute-lft-out-- rem-cube-cbrt difference-of-squares sqr-pow
Counts
4 → 74
Calls
4 calls:
3.0ms
(pow (exp x) 3)
11.0ms
(log (+ (pow 1.0 3) (pow (exp x) 3)))
4.0ms
(- (exp x) 1.0)
3.0ms
(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

series44.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(pow (exp x) 3)
18.0ms
(log (+ (pow 1.0 3) (pow (exp x) 3)))
2.0ms
(- (exp x) 1.0)
20.0ms
(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

simplify37.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05884831

prune162.0ms

Filtered
57 candidates to 86 candidates (-50.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New86086
Fresh044
Picked011
Done000
Total86591

Merged error: 0.2b

Counts
91 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (exp x))
0.0b
(+ 1.0 (exp x))
0.9b
(log (sqrt (+ 1.0 (exp x))))
0.9b
(log (sqrt (+ 1.0 (exp x))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
14×log-prod
8×pow1 add-sqr-sqrt add-cube-cbrt sqrt-prod add-log-exp
6×add-exp-log log-pow
4×log-div flip3-+ sqrt-div add-cbrt-cube flip-+ distribute-lft-out
2×+-commutative sqrt-pow1 pow1/2 rem-log-exp sum-log
Counts
4 → 64
Calls
4 calls:
3.0ms
(+ 1.0 (exp x))
3.0ms
(+ 1.0 (exp x))
4.0ms
(log (sqrt (+ 1.0 (exp x))))
4.0ms
(log (sqrt (+ 1.0 (exp x))))

series29.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(+ 1.0 (exp x))
2.0ms
(+ 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
76 → 76
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05517642

prune135.0ms

Filtered
52 candidates to 76 candidates (-46.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh033
Picked011
Done011
Total76581

Merged error: 0.2b

Counts
81 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (log (+ x (+ 2.0 (* x (* x 1/2))))) (* x y))
0.0b
(+ x (+ 2.0 (* x (* x 1/2))))
10.2b
(log (+ x (+ 2.0 (* x (* x 1/2)))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-log-exp
8×log-prod
5×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log log-div associate--l+
3×flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
2×associate--l-
1×+-commutative sub-neg associate-+r+ flip3-- diff-log rem-log-exp log-pow flip--
Counts
3 → 47
Calls
3 calls:
6.0ms
(- (log (+ x (+ 2.0 (* x (* x 1/2))))) (* x y))
5.0ms
(+ x (+ 2.0 (* x (* x 1/2))))
4.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))

series17.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- (log (+ x (+ 2.0 (* x (* x 1/2))))) (* x y))
3.0ms
(+ x (+ 2.0 (* x (* x 1/2))))
4.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05249868

prune80.0ms

Filtered
42 candidates to 56 candidates (-33.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New55156
Fresh022
Picked101
Done022
Total56561

Merged error: 0.2b

Counts
61 → 5

regimes152.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02126
12126

end0.0ms

sample1.0s

Algorithm
intervals
Results
370.0ms8287×body80valid
98.0ms2487×body80overflowed
86.0ms286×body640valid
70.0ms128×body1280valid
36.0ms195×body320valid
15.0ms113×body160valid

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