Details

Time bar (total: 1.9s)

analyze68.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
43.7%43.7%12.6%6
53.1%31.2%15.7%7
59.3%18.7%22%8
62.4%14%23.5%9
64.8%8.6%26.6%10
66%6.6%27.4%11
66.9%4.1%29%12
67.4%3.2%29.4%13
67.9%2%30.1%14

sample26.0ms

Algorithm
intervals
Results
10.0ms229×body80valid
3.0ms11×body640valid
2.0ms4×body1280valid
1.0ms7×body320valid
1.0ms5×body160valid

simplify70.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
059739

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

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))
1.0b
(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 → 44
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)))

series25.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(- (log (+ 1.0 (exp x))) (* x y))
2.0ms
(+ 1.0 (exp x))
11.0ms
(log (+ 1.0 (exp x)))

simplify67.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04843504
14843504

prune82.0ms

Filtered
39 candidates to 53 candidates (-35.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New50353
Fresh000
Picked101
Done000
Total51354

Merged error: 0b

Counts
54 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp x) 3)
1.0b
(log (+ (pow 1.0 3) (pow (exp x) 3)))
5.1b
(- (exp x) 1.0)
6.1b
(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

rewrite25.0ms

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 → 73
Calls
4 calls:
3.0ms
(pow (exp x) 3)
12.0ms
(log (+ (pow 1.0 3) (pow (exp x) 3)))
4.0ms
(- (exp x) 1.0)
4.0ms
(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

series45.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(pow (exp x) 3)
17.0ms
(log (+ (pow 1.0 3) (pow (exp x) 3)))
2.0ms
(- (exp x) 1.0)
21.0ms
(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

simplify56.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05002829

prune159.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done000
Total85388

Merged error: 0b

Counts
88 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ 1.0 (exp x)))
0.0b
(sqrt (+ 1.0 (exp x)))
1.7b
(log (sqrt (+ 1.0 (exp x))))
1.7b
(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))))

series37.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (+ 1.0 (exp x)))
4.0ms
(sqrt (+ 1.0 (exp x)))
15.0ms
(log (sqrt (+ 1.0 (exp x))))
14.0ms
(log (sqrt (+ 1.0 (exp x))))

simplify36.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05046760

prune139.0ms

Filtered
56 candidates to 84 candidates (-50.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh011
Picked011
Done011
Total84387

Merged error: 0b

Counts
87 → 3

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
15×add-log-exp
7×*-un-lft-identity sum-log
4×pow1 add-sqr-sqrt add-cube-cbrt
3×add-exp-log sub-neg associate-+l+ associate-+r+ log-prod diff-log add-cbrt-cube
2×+-commutative flip3-+ flip-+ distribute-lft-out
1×distribute-rgt-in flip3-- distribute-lft-in associate--l+ log-pow flip--
Counts
3 → 45
Calls
3 calls:
4.0ms
(+ (* x 0.5) (* (* x x) (- 0.25 (/ 1/2 (* 2.0 2.0)))))
6.0ms
(+ (log 2.0) (+ (* x 0.5) (* (* x x) (- 0.25 (/ 1/2 (* 2.0 2.0))))))
11.0ms
(- (+ (log 2.0) (+ (* x 0.5) (* (* x x) (- 0.25 (/ 1/2 (* 2.0 2.0)))))) (* x y))

series19.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(+ (* x 0.5) (* (* x x) (- 0.25 (/ 1/2 (* 2.0 2.0)))))
4.0ms
(+ (log 2.0) (+ (* x 0.5) (* (* x x) (- 0.25 (/ 1/2 (* 2.0 2.0))))))
8.0ms
(- (+ (log 2.0) (+ (* x 0.5) (* (* x x) (- 0.25 (/ 1/2 (* 2.0 2.0)))))) (* x y))

simplify23.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
049881019
149881019

prune87.0ms

Filtered
41 candidates to 54 candidates (-31.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New54054
Fresh000
Picked011
Done022
Total54357

Merged error: 0b

Counts
57 → 3

regimes83.0ms

Accuracy

88% (0.0b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.5b

bsearch16.0ms

Steps
ItersRangePoint
8
7.122408045911828
7025.499680661754
236.15022108429926

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010152
110152

end0.0ms

sample699.0ms

Algorithm
intervals
Results
334.0ms7272×body80valid
83.0ms276×body640valid
70.0ms126×body1280valid
42.0ms203×body320valid
14.0ms123×body160valid
2.0ms44×body80invalid
0.0ms5×body80overflowed

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