Details

Time bar (total: 3.2s)

analyze228.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
75%25%0%5
75%25%0%6
78.1%21.9%0%7
78.1%21.9%0%8
78.1%21.9%0%9
78.1%21.9%0%10
78.1%21.9%0%11
78.1%21.9%0%12
78.1%21.9%0%13
78.1%21.8%0%14

sample64.0ms

Algorithm
intervals
Results
28.0ms54×body2560valid
14.0ms37×body1280valid
7.0ms45×body640valid
4.0ms31×body320valid
3.0ms79×body80valid
1.0ms10×body160valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
05008
15008

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.9b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.8b
(- 1.0 (cos x))
17.8b
(/ (- 1.0 (cos x)) (* x x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity
7×add-exp-log add-cbrt-cube
5×times-frac associate-/l*
4×add-cube-cbrt add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1 cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
2 → 41
Calls
2 calls:
3.0ms
(- 1.0 (cos x))
7.0ms
(/ (- 1.0 (cos x)) (* x x))

series9.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(- 1.0 (cos x))
6.0ms
(/ (- 1.0 (cos x)) (* x x))

simplify48.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04894437
14894437

prune92.0ms

Filtered
34 candidates to 47 candidates (-38.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New38947
Fresh000
Picked101
Done000
Total39948

Merged error: 0.1b

Counts
48 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sqrt (- 1.0 (cos x))) x)
0.1b
(/ (sqrt (- 1.0 (cos x))) x)
0.8b
(- 1.0 (cos x))
0.8b
(- 1.0 (cos x))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt *-un-lft-identity
48×times-frac
40×sqrt-prod
38×add-cube-cbrt
16×associate-/l*
10×distribute-lft-out-- difference-of-squares
8×add-exp-log add-cbrt-cube add-log-exp
6×associate-/r*
4×pow1 flip3-- sqrt-div flip-- associate-/l/
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
4 → 124
Calls
4 calls:
6.0ms
(/ (sqrt (- 1.0 (cos x))) x)
6.0ms
(/ (sqrt (- 1.0 (cos x))) x)
4.0ms
(- 1.0 (cos x))
4.0ms
(- 1.0 (cos x))

series22.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(/ (sqrt (- 1.0 (cos x))) x)
8.0ms
(/ (sqrt (- 1.0 (cos x))) x)
3.0ms
(- 1.0 (cos x))
3.0ms
(- 1.0 (cos x))

simplify49.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049801524
149801524

prune219.0ms

Filtered
92 candidates to 136 candidates (-47.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1324136
Fresh088
Picked101
Done000
Total13312145

Merged error: 0.0b

Counts
145 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(exp (- 1.0 (cos x)))
0.8b
(- 1.0 (cos x))
0.8b
(- 1.0 (cos x))
0.9b
(log (exp (- 1.0 (cos x))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
11×add-log-exp
10×exp-prod
7×add-cube-cbrt
6×log-pow
5×pow1
4×add-exp-log sub-neg log-prod add-cbrt-cube distribute-lft-out-- difference-of-squares
3×diff-log
2×flip3-- exp-diff exp-sum flip-- rem-exp-log
1×log-div rem-log-exp
Counts
4 → 61
Calls
4 calls:
5.0ms
(exp (- 1.0 (cos x)))
3.0ms
(- 1.0 (cos x))
4.0ms
(- 1.0 (cos x))
5.0ms
(log (exp (- 1.0 (cos x))))

series16.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(exp (- 1.0 (cos x)))
3.0ms
(- 1.0 (cos x))
3.0ms
(- 1.0 (cos x))
3.0ms
(log (exp (- 1.0 (cos x))))

simplify53.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04895493
14895493

prune202.0ms

Filtered
53 candidates to 73 candidates (-37.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New72173
Fresh2911
Picked101
Done000
Total751085

Merged error: 0.0b

Counts
85 → 10

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b
(+ 1.0 (cos x))
0.7b
(- (pow 1.0 3) (pow (cos x) 3))
0.8b
(- 1.0 (cos x))
0.9b
(log (exp (- 1.0 (cos x))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
22×*-un-lft-identity
18×difference-of-squares
12×unpow-prod-down cube-prod
10×add-log-exp
8×sqr-pow
7×distribute-lft-out--
6×add-cube-cbrt log-pow
5×pow1 exp-prod
4×add-exp-log log-prod add-cbrt-cube
3×sub-neg
2×flip3-- diff-log flip--
1×difference-cubes +-commutative log-div flip3-+ exp-diff rem-log-exp exp-sum sum-log flip-+ distribute-lft-out
Counts
4 → 77
Calls
4 calls:
4.0ms
(+ 1.0 (cos x))
11.0ms
(- (pow 1.0 3) (pow (cos x) 3))
4.0ms
(- 1.0 (cos x))
5.0ms
(log (exp (- 1.0 (cos x))))

series15.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(+ 1.0 (cos x))
7.0ms
(- (pow 1.0 3) (pow (cos x) 3))
3.0ms
(- 1.0 (cos x))
3.0ms
(log (exp (- 1.0 (cos x))))

simplify29.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
05387886

prune195.0ms

Filtered
62 candidates to 89 candidates (-43.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New89089
Fresh099
Picked011
Done000
Total891099

Merged error: 0.0b

Counts
99 → 10

regimes69.0ms

Accuracy

99.4% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 30.6b

bsearch41.0ms

Steps
ItersRangePoint
11
0.00019838161185435616
3.808904900230759e+18
0.03629851633834006
11
-3069.129019696743
-1.2792405888722212e-22
-0.030199029651835543

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06655
16655

end0.0ms

sample1.7s

Algorithm
intervals
Results
816.0ms1618×body2560valid
318.0ms1227×body1280valid
236.0ms1459×body640valid
111.0ms934×body320valid
83.0ms2299×body80valid
38.0ms463×body160valid

Profiling

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