Details

Time bar (total: 5.4s)

analyze826.0ms (15.3%)

Algorithm
1×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

sample78.0ms (1.5%)

Algorithm
1×intervals
Results
32.0ms47×body1280valid
17.0ms42×body640valid
13.0ms138×body80valid
6.0ms19×body320valid
2.0ms10×body160valid

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
019016
119016

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 15.1b

Counts
2 → 1

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.3b
(* (/ 8.0 3.0) (sin (* x 0.5)))
14.9b
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite31.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity associate-*l*
13×times-frac
12×prod-exp cbrt-unprod
10×pow1
7×cbrt-undiv div-exp
6×associate-*r*
5×associate-*l/
4×pow-prod-down
3×associate-/r* add-log-exp
2×*-commutative div-inv unswap-sqr
1×frac-2neg clear-num associate-/l/ associate-/l*
Counts
3 → 79
Calls

3 calls:

12.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
10.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))
6.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

series20.0ms (0.4%)

Counts
3 → 9
Calls

3 calls:

11.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))
6.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
4.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify74.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
050151012

prune225.0ms (4.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New781088
Fresh000
Picked101
Done000
Total791089

Merged error: 0.1b

Counts
89 → 10

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b
(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
0.2b
(/ (sin x) (sin (* x 0.5)))
0.3b
(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite23.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
50×times-frac
38×add-sqr-sqrt
33×add-cube-cbrt *-un-lft-identity
31×add-exp-log add-cbrt-cube
16×associate-/r*
13×cbrt-undiv div-exp associate-*l*
6×prod-exp cbrt-unprod
5×pow1 div-inv
4×associate-/l*
3×associate-*r* add-log-exp
2×frac-2neg associate-*l/ clear-num unswap-sqr
1×pow-prod-down associate-/r/ *-commutative associate-/l/
Counts
3 → 110
Calls

3 calls:

9.0ms
(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
6.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
4.0ms
(/ (sin x) (sin (* x 0.5)))

series23.0ms (0.4%)

Counts
3 → 9
Calls

3 calls:

13.0ms
(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
7.0ms
(/ (sin x) (sin (* x 0.5)))
4.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify66.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
050761580

prune282.0ms (5.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1145119
Fresh549
Picked101
Done000
Total1209129

Merged error: 0.0b

Counts
129 → 9

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b
(/ (* 8.0 (sin (* x 0.5))) 3.0)
0.1b
(/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* x 0.5))))
0.2b
(/ (sin x) (sin (* x 0.5)))

rewrite27.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
217×times-frac
97×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
31×add-exp-log add-cbrt-cube
25×div-inv
19×associate-/r*
16×cbrt-undiv div-exp
11×associate-/l*
3×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/r/ associate-/l/
Counts
3 → 183
Calls

3 calls:

10.0ms
(/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* x 0.5))))
5.0ms
(/ (* 8.0 (sin (* x 0.5))) 3.0)
4.0ms
(/ (sin x) (sin (* x 0.5)))

series24.0ms (0.4%)

Counts
3 → 9
Calls

3 calls:

11.0ms
(/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* x 0.5))))
7.0ms
(/ (sin x) (sin (* x 0.5)))
6.0ms
(/ (* 8.0 (sin (* x 0.5))) 3.0)

simplify72.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
052384032

prune522.0ms (9.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1902192
Fresh268
Picked011
Done000
Total1929201

Merged error: 0b

Counts
201 → 9

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(/ (* (sqrt (/ 8.0 3.0)) (* (sin (* x 0.5)) (sqrt (/ 8.0 3.0)))) (/ (sin x) (sin (* x 0.5))))
0.2b
(* (sin (* x 0.5)) (sqrt (/ 8.0 3.0)))
0.2b
(/ (sin x) (sin (* x 0.5)))
0.3b
(* (sqrt (/ 8.0 3.0)) (* (sin (* x 0.5)) (sqrt (/ 8.0 3.0))))

rewrite45.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
59×times-frac
50×add-sqr-sqrt
43×add-cube-cbrt *-un-lft-identity
34×add-exp-log add-cbrt-cube
28×sqrt-prod
19×associate-*l*
17×associate-*r*
16×associate-/r*
11×pow1
10×cbrt-undiv div-exp prod-exp cbrt-unprod
9×sqrt-div
7×associate-*r/
6×div-inv
4×pow-prod-down associate-/l* add-log-exp
3×associate-/l/ unswap-sqr
2×frac-times frac-2neg associate-*l/ clear-num *-commutative
1×associate-/r/
Counts
4 → 148
Calls

4 calls:

14.0ms
(/ (* (sqrt (/ 8.0 3.0)) (* (sin (* x 0.5)) (sqrt (/ 8.0 3.0)))) (/ (sin x) (sin (* x 0.5))))
11.0ms
(* (sqrt (/ 8.0 3.0)) (* (sin (* x 0.5)) (sqrt (/ 8.0 3.0))))
10.0ms
(* (sin (* x 0.5)) (sqrt (/ 8.0 3.0)))
4.0ms
(/ (sin x) (sin (* x 0.5)))

series35.0ms (0.7%)

Counts
4 → 12
Calls

4 calls:

16.0ms
(/ (* (sqrt (/ 8.0 3.0)) (* (sin (* x 0.5)) (sqrt (/ 8.0 3.0)))) (/ (sin x) (sin (* x 0.5))))
8.0ms
(* (sqrt (/ 8.0 3.0)) (* (sin (* x 0.5)) (sqrt (/ 8.0 3.0))))
6.0ms
(/ (sin x) (sin (* x 0.5)))
5.0ms
(* (sin (* x 0.5)) (sqrt (/ 8.0 3.0)))

simplify61.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049942180
149942180

prune422.0ms (7.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1600160
Fresh077
Picked011
Done011
Total1609169

Merged error: 0b

Counts
169 → 9

regimes54.0ms (1%)

Accuracy

Total 0.3b remaining (85.3%)

Threshold costs 0.3b (85.3%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01316
11316

end0.0ms (0%)

sample2.4s (44.8%)

Algorithm
1×intervals
Results
1.1s1539×body1280valid
531.0ms1211×body640valid
439.0ms4323×body80valid
181.0ms614×body320valid
63.0ms313×body160valid

Profiling

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