Details

Time bar (total: 4.2s)

sample83.0ms

Algorithm
intervals
Results
36.0ms56×body1280valid
19.0ms48×body640valid
12.0ms126×body80valid
5.0ms18×body320valid
2.0ms8×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
019016
119016

prune15.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(* 3.0 (sin x))
0.3b
(/ (sin (* x 0.5)) (* 3.0 (sin x)))
0.3b
(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity associate-*r*
7×pow1
6×times-frac associate-*l* prod-exp cbrt-unprod
4×cbrt-undiv div-exp
3×associate-/l* add-log-exp
2×pow-prod-down *-commutative div-inv unswap-sqr
1×frac-2neg associate-*r/ clear-num associate-/r*
Counts
3 → 66
Calls
3 calls:
4.0ms
(* 3.0 (sin x))
5.0ms
(/ (sin (* x 0.5)) (* 3.0 (sin x)))
9.0ms
(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x))))

series23.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* 3.0 (sin x))
8.0ms
(/ (sin (* x 0.5)) (* 3.0 (sin x)))
11.0ms
(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x))))

simplify64.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04941761
14941761

prune167.0ms

Filtered
54 candidates to 75 candidates (-38.9%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New641175
Fresh011
Picked101
Done000
Total651277

Merged error: 0.0b

Counts
77 → 12

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin (* x 0.5)) (sin x))
0.1b
(/ (sin (* x 0.5)) 3.0)
0.2b
(* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
40×times-frac
33×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
13×associate-*r* associate-*l*
6×cbrt-undiv div-exp associate-/r* associate-/l*
5×pow1
4×prod-exp cbrt-unprod div-inv unswap-sqr
3×add-log-exp
2×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 104
Calls
3 calls:
4.0ms
(/ (sin (* x 0.5)) (sin x))
7.0ms
(/ (sin (* x 0.5)) 3.0)
11.0ms
(* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x)))

series22.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ (sin (* x 0.5)) (sin x))
4.0ms
(/ (sin (* x 0.5)) 3.0)
11.0ms
(* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x)))

simplify67.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049561386
149561386

prune239.0ms

Filtered
86 candidates to 113 candidates (-31.4%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1103113
Fresh3811
Picked101
Done000
Total11411125

Merged error: 0.0b

Counts
125 → 11

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin (* x 0.5)) 3.0)
0.3b
(* (sin (* x 0.5)) (/ (/ (sin (* x 0.5)) 3.0) (sin x)))
0.3b
(/ (/ (sin (* x 0.5)) 3.0) (sin x))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
98×add-sqr-sqrt
89×add-cube-cbrt *-un-lft-identity
43×associate-*r*
19×add-exp-log add-cbrt-cube
16×associate-/l*
10×div-inv
7×cbrt-undiv div-exp
6×associate-/r*
5×pow1
3×associate-*l* prod-exp cbrt-unprod add-log-exp unswap-sqr
2×frac-2neg clear-num
1×associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 162
Calls
3 calls:
4.0ms
(/ (sin (* x 0.5)) 3.0)
17.0ms
(* (sin (* x 0.5)) (/ (/ (sin (* x 0.5)) 3.0) (sin x)))
7.0ms
(/ (/ (sin (* x 0.5)) 3.0) (sin x))

series27.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (sin (* x 0.5)) 3.0)
11.0ms
(* (sin (* x 0.5)) (/ (/ (sin (* x 0.5)) 3.0) (sin x)))
11.0ms
(/ (/ (sin (* x 0.5)) 3.0) (sin x))

simplify72.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
051002524

prune450.0ms

Filtered
139 candidates to 171 candidates (-23.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1683171
Fresh4610
Picked101
Done000
Total1739182

Merged error: 0b

Counts
182 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sin (* x 0.5)) (sin x))
0.2b
(log (exp (/ (sin (* x 0.5)) (sin x))))
0.2b
(* (/ (sin (* x 0.5)) 3.0) (log (exp (/ (sin (* x 0.5)) (sin x)))))
0.2b
(exp (/ (sin (* x 0.5)) (sin x)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
46×times-frac
44×add-cube-cbrt *-un-lft-identity
39×exp-prod
28×log-pow
17×associate-*r*
13×associate-*l*
11×add-exp-log add-cbrt-cube
9×log-prod
8×pow1
5×div-inv add-log-exp
3×distribute-rgt-in distribute-lft-in associate-/r* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
1×frac-2neg rem-log-exp pow-prod-down associate-*l/ clear-num *-commutative rem-exp-log
Counts
4 → 125
Calls
4 calls:
4.0ms
(/ (sin (* x 0.5)) (sin x))
5.0ms
(log (exp (/ (sin (* x 0.5)) (sin x))))
17.0ms
(* (/ (sin (* x 0.5)) 3.0) (log (exp (/ (sin (* x 0.5)) (sin x)))))
4.0ms
(exp (/ (sin (* x 0.5)) (sin x)))

series37.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ (sin (* x 0.5)) (sin x))
7.0ms
(log (exp (/ (sin (* x 0.5)) (sin x))))
11.0ms
(* (/ (sin (* x 0.5)) 3.0) (log (exp (/ (sin (* x 0.5)) (sin x)))))
13.0ms
(exp (/ (sin (* x 0.5)) (sin x)))

simplify78.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049561668
149561668

prune292.0ms

Filtered
110 candidates to 137 candidates (-24.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1370137
Fresh088
Picked011
Done000
Total1379146

Merged error: 0b

Counts
146 → 9

regimes54.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01618
11618

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.0s1461×body1280valid
512.0ms1207×body640valid
431.0ms4390×body80valid
184.0ms628×body320valid
63.0ms314×body160valid

Profiling

Loading profile data...