Details

Time bar (total: 2.3s)

sample41.0ms

Algorithm
intervals
Results
12.0ms261×body80valid
6.0ms8×body640valid
4.0ms89×body80overflowed
3.0ms5×body1280valid
1.0ms9×body160valid
1.0ms5×body320valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 0.0b

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))
0.0b
(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:
6.0ms
(- (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)))

simplify50.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0207322
1584301
21729298
35001297

prune281.0ms

Filtered
54 candidates to 40 candidates (25.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New51354
Fresh000
Picked011
Done000
Total51455

Merged error: 0b

Counts
55 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp x) 3)
0.0b
(log (+ (pow 1.0 3) (pow (exp x) 3)))
4.8b
(- (* (exp x) (exp x)) (* 1.0 (exp x)))
4.8b
(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
12×log-prod
10×add-sqr-sqrt 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-- distribute-rgt-out-- diff-log unpow3 pow-exp sum-cubes flip-- rem-cube-cbrt sqr-pow
Counts
4 → 73
Calls
4 calls:
3.0ms
(pow (exp x) 3)
11.0ms
(log (+ (pow 1.0 3) (pow (exp x) 3)))
6.0ms
(- (* (exp x) (exp x)) (* 1.0 (exp x)))
8.0ms
(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

series49.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(pow (exp x) 3)
17.0ms
(log (+ (pow 1.0 3) (pow (exp x) 3)))
8.0ms
(- (* (exp x) (exp x)) (* 1.0 (exp x)))
20.0ms
(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

simplify64.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0363641
11502568
25001560

prune159.0ms

Filtered
85 candidates to 57 candidates (32.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done011
Total85489

Merged error: 0b

Counts
89 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ 1.0 (exp x)))
0.0b
(sqrt (+ 1.0 (exp x)))
0.7b
(log (sqrt (+ 1.0 (exp x))))
0.7b
(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))))

simplify56.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0162564
1453526
21549508
35001496

prune142.0ms

Filtered
84 candidates to 60 candidates (28.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh011
Picked011
Done022
Total84488

Merged error: 0b

Counts
88 → 4

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))
0.0b
(+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x))
0.0b
(- (+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x)) (* x y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×add-log-exp
7×sum-log
4×add-sqr-sqrt add-cube-cbrt associate-+l+ associate-+r+ *-un-lft-identity
3×pow1 add-exp-log sub-neg log-prod diff-log add-cbrt-cube
2×+-commutative distribute-rgt-in distribute-lft-in flip3-+ flip-+
1×flip3-- associate--l+ flip--
Counts
3 → 46
Calls
3 calls:
4.0ms
(+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))
5.0ms
(+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x))
8.0ms
(- (+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x)) (* x y))

series45.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))
6.0ms
(+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x))
13.0ms
(- (+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x)) (* x y))

simplify40.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0271625
11051590
25002570

prune109.0ms

Filtered
55 candidates to 41 candidates (25.5%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New55055
Fresh000
Picked011
Done033
Total55459

Merged error: 0b

Counts
59 → 4

regimes130.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02217
12217

end0.0ms

sample982.0ms

Algorithm
intervals
Results
388.0ms8337×body80valid
96.0ms2406×body80overflowed
79.0ms261×body640valid
73.0ms133×body1280valid
37.0ms201×body320valid
13.0ms119×body160valid

Profiling

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