Details

Time bar (total: 4.9s)

analyze798.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%100%0%3
37.5%62.5%0%4
43.7%56.2%0%5
46.9%53.1%0%6
48.4%51.5%0%7
49.2%50.8%0%8
49.6%50.4%0%9
49.8%50.2%0%10
49.9%50.1%0%11
49.9%50%0%12
50%50%0%13
50%49.9%0%14

sample75.0ms

Algorithm
intervals
Results
24.0ms35×body1280valid
18.0ms44×body640valid
17.0ms145×body80valid
6.0ms21×body320valid
2.0ms11×body160valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
066016
166016

prune11.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(* 3.0 (sin x))
0.3b
(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x))))
0.4b
(/ (sin (* x 0.5)) (* 3.0 (sin x)))

rewrite19.0ms

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))
8.0ms
(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x))))
5.0ms
(/ (sin (* x 0.5)) (* 3.0 (sin x)))

series23.0ms

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

simplify56.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04956761
14956761

prune189.0ms

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

rewrite22.0ms

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)) 3.0)
4.0ms
(/ (sin (* x 0.5)) (sin x))
10.0ms
(* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x)))

series24.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (sin (* x 0.5)) 3.0)
9.0ms
(/ (sin (* x 0.5)) (sin x))
12.0ms
(* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x)))

simplify52.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049411386
149411386

prune260.0ms

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

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1094113
Fresh5611
Picked011
Done000
Total11411125

Merged error: 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)))
0.4b
(/ (/ (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)))
6.0ms
(/ (/ (sin (* x 0.5)) 3.0) (sin x))

series23.0ms

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)))
8.0ms
(/ (/ (sin (* x 0.5)) 3.0) (sin x))

simplify83.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049402524
149402524

prune429.0ms

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

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1710171
Fresh099
Picked011
Done011
Total17111182

Merged error: 0b

Counts
182 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin x)) (cbrt (sin x)))
0.6b
(cbrt (sin x))
0.6b
(cbrt (sin x))
0.6b
(cbrt (sin x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt (sin x)) (cbrt (sin x)))
1.0ms
(cbrt (sin x))
1.0ms
(cbrt (sin x))
1.0ms
(cbrt (sin x))

series77.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (cbrt (sin x)) (cbrt (sin x)))
17.0ms
(cbrt (sin x))
17.0ms
(cbrt (sin x))
20.0ms
(cbrt (sin x))

simplify54.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05025482

prune124.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh088
Picked011
Done022
Total851196

Merged error: 0b

Counts
96 → 11

regimes145.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04216
14216

end0.0ms

sample2.4s

Algorithm
intervals
Results
998.0ms1454×body1280valid
520.0ms1237×body640valid
441.0ms4311×body80valid
197.0ms661×body320valid
72.0ms337×body160valid

Profiling

Loading profile data...