Details

Time bar (total: 1.9s)

analyze69.0ms

Algorithm
search

sample26.0ms

Algorithm
intervals
Results
10.0ms234×body80valid
3.0ms11×body640valid
3.0ms5×body1280valid
1.0ms5×body320valid
0.0ms1×body160valid
0.0ms1×body80invalid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1195
2195

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

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))
0.5b
(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:
6.0ms
(- (log (+ 1.0 (exp x))) (* x y))
3.0ms
(+ 1.0 (exp x))
3.0ms
(log (+ 1.0 (exp x)))

series23.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(- (log (+ 1.0 (exp x))) (* x y))
2.0ms
(+ 1.0 (exp x))
10.0ms
(log (+ 1.0 (exp x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0207322
1584301
21729298
35001297

prune94.0ms

Filtered
40 candidates to 54 candidates (-35.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New49554
Fresh000
Picked101
Done000
Total50555

Merged error: 0.4b

Counts
55 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp x) 3)
0.5b
(log (+ (pow 1.0 3) (pow (exp x) 3)))
3.5b
(- (* (exp x) (exp x)) (* 1.0 (exp x)))
3.6b
(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

rewrite28.0ms

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)
10.0ms
(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)))))

series46.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(pow (exp x) 3)
16.0ms
(log (+ (pow 1.0 3) (pow (exp x) 3)))
6.0ms
(- (* (exp x) (exp x)) (* 1.0 (exp x)))
20.0ms
(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0363641
11502568
25001560

prune178.0ms

Filtered
57 candidates to 85 candidates (-49.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done000
Total85590

Merged error: 0.4b

Counts
90 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (exp x))
0.0b
(+ 1.0 (exp x))
1.2b
(log (sqrt (+ 1.0 (exp x))))
1.2b
(log (sqrt (+ 1.0 (exp x))))

rewrite16.0ms

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))))

series30.0ms

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))))

simplify40.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (34.0ms)

IterNodesCost
0155476
1390432
21073422
35002414

prune147.0ms

Filtered
54 candidates to 76 candidates (-40.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh033
Picked011
Done011
Total76581

Merged error: 0.4b

Counts
81 → 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)))

rewrite26.0ms

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)))

series19.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 1/2 (pow x 2))
3.0ms
(+ (* 1/2 (pow x 2)) (+ x 2.0))
9.0ms
(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
4.0ms
(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0371575
11439529
25001520

prune138.0ms

Filtered
61 candidates to 83 candidates (-36.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New81283
Fresh022
Picked101
Done022
Total82688

Merged error: 0.4b

Counts
88 → 6

regimes113.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02217
12217

end0.0ms

analyze66.0ms

Algorithm
search

sample661.0ms

Algorithm
intervals
Results
331.0ms7367×body80valid
73.0ms241×body640valid
66.0ms120×body1280valid
34.0ms169×body320valid
11.0ms103×body160valid
3.0ms54×body80invalid
0.0ms11×body80overflowed

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