Details

Time bar (total: 3.4s)

analyze242.0ms

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

sample60.0ms

Algorithm
intervals
Results
28.0ms57×body2560valid
9.0ms31×body1280valid
7.0ms42×body640valid
5.0ms38×body320valid
3.0ms76×body80valid
2.0ms12×body160valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
05008
15008

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

1.2b
(- 1.0 (cos x))
15.8b
(/ (- 1.0 (cos x)) (* x x))

rewrite11.0ms

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))
6.0ms
(/ (- 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))

simplify47.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04894437
14894437

prune102.0ms

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

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New361147
Fresh000
Picked101
Done000
Total371148

Merged error: 0.1b

Counts
48 → 11

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sqrt (- 1.0 (cos x))) x)
0.2b
(/ (sqrt (- 1.0 (cos x))) x)
1.2b
(- 1.0 (cos x))
1.2b
(- 1.0 (cos x))

rewrite25.0ms

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)
3.0ms
(- 1.0 (cos x))
4.0ms
(- 1.0 (cos x))

series23.0ms

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))

simplify46.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049801524
149801524

prune222.0ms

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

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1342136
Fresh1910
Picked101
Done000
Total13611147

Merged error: 0.1b

Counts
147 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sqrt (- 1.0 (cos x))) x)
1.2b
(- 1.0 (cos x))
1.2b
(- 1.0 (cos x))
1.3b
(log (exp (- 1.0 (cos x))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt *-un-lft-identity
24×times-frac
23×add-cube-cbrt
20×sqrt-prod
8×associate-/l* add-log-exp
7×distribute-lft-out-- difference-of-squares
6×add-exp-log log-pow add-cbrt-cube
5×pow1 exp-prod
4×log-prod
3×sub-neg flip3-- associate-/r* flip--
2×sqrt-div diff-log associate-/l/
1×cbrt-undiv log-div frac-2neg exp-diff div-exp rem-log-exp exp-sum clear-num div-inv
Counts
4 → 94
Calls
4 calls:
6.0ms
(/ (sqrt (- 1.0 (cos x))) x)
3.0ms
(- 1.0 (cos x))
4.0ms
(- 1.0 (cos x))
5.0ms
(log (exp (- 1.0 (cos x))))

series17.0ms

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

simplify42.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
052511023

prune208.0ms

Filtered
74 candidates to 106 candidates (-43.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1051106
Fresh01010
Picked101
Done000
Total10611117

Merged error: 0.0b

Counts
117 → 11

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b
(+ 1.0 (cos x))
1.1b
(- (pow 1.0 3) (pow (cos x) 3))
1.2b
(- 1.0 (cos x))
1.3b
(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:
5.0ms
(+ 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))))

series14.0ms

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))))

simplify30.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
05387886

prune205.0ms

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

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New88189
Fresh1910
Picked101
Done000
Total9010100

Merged error: 0.0b

Counts
100 → 10

regimes72.0ms

Accuracy

98.7% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 31.5b

bsearch34.0ms

Steps
ItersRangePoint
10
3.0030070602631748e-05
1417716955.010032
0.03400527114210335
10
-30277.559044520094
-5.828838911983841e-10
-0.02933386181963808

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06566
16566

end0.0ms

sample1.8s

Algorithm
intervals
Results
838.0ms1590×body2560valid
352.0ms1266×body1280valid
254.0ms1493×body640valid
122.0ms985×body320valid
87.0ms2212×body80valid
48.0ms454×body160valid

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