Details

Time bar (total: 2.4s)

analyze102.0ms (4.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
50%50%0.1%5
56.2%43.7%0.1%6
74.9%25%0.1%7
76.5%23.4%0.1%8
84.3%15.6%0.1%9
86.2%13.7%0.1%10
91.3%8.6%0.1%11
92.6%7.3%0.1%12
95.4%4.5%0.1%13
96.1%3.8%0.1%14

sample40.0ms (1.6%)

Algorithm
1×intervals
Results
15.0ms170×body80valid
6.0ms24×body1280valid
6.0ms34×body640valid
3.0ms21×body320valid
1.0ms7×body160valid

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0166
1166

prune5.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)

rewrite12.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 59
Calls

2 calls:

6.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)

series15.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

11.0ms
(* x (/ (sin y) y))
5.0ms
(/ (sin y) y)

simplify49.0ms (2%)

Algorithm
1×egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05076493

prune102.0ms (4.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New56965
Fresh000
Picked011
Done000
Total561066

Merged error: 0b

Counts
66 → 10

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.1b
(* x (/ 1 (/ y (sin y))))
0.1b
(/ 1 (/ y (sin y)))
0.1b
(/ y (sin y))

rewrite33.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
156×times-frac
103×add-sqr-sqrt
91×*-un-lft-identity
89×add-cube-cbrt
44×associate-*r*
35×add-exp-log
19×add-cbrt-cube
16×associate-/r*
15×div-exp
10×div-inv
7×cbrt-undiv prod-exp
6×pow1 associate-/l*
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/r/
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 176
Calls

3 calls:

16.0ms
(* x (/ 1 (/ y (sin y))))
6.0ms
(/ 1 (/ y (sin y)))
3.0ms
(/ y (sin y))

series20.0ms (0.8%)

Counts
3 → 9
Calls

3 calls:

10.0ms
(* x (/ 1 (/ y (sin y))))
6.0ms
(/ y (sin y))
4.0ms
(/ 1 (/ y (sin y)))

simplify65.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049431655
149431655

prune211.0ms (8.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1841185
Fresh358
Picked011
Done011
Total1878195

Merged error: 0b

Counts
195 → 8

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.3b
(cbrt (/ (sin y) y))
0.3b
(cbrt (/ (sin y) y))
0.3b
(cbrt (/ (sin y) y))

rewrite25.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls

4 calls:

12.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
2.0ms
(cbrt (/ (sin y) y))
2.0ms
(cbrt (/ (sin y) y))
2.0ms
(cbrt (/ (sin y) y))

series100.0ms (4.1%)

Counts
4 → 12
Calls

4 calls:

30.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
25.0ms
(cbrt (/ (sin y) y))
23.0ms
(cbrt (/ (sin y) y))
22.0ms
(cbrt (/ (sin y) y))

simplify58.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049031647
149031647

prune191.0ms (7.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1560156
Fresh055
Picked011
Done022
Total1568164

Merged error: 0b

Counts
164 → 8

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite11.0ms (0.5%)

Algorithm
1×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 y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series91.0ms (3.7%)

Counts
4 → 12
Calls

4 calls:

25.0ms
(* (cbrt y) (cbrt y))
23.0ms
(cbrt y)
21.0ms
(cbrt y)
21.0ms
(cbrt y)

simplify47.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05165356

prune95.0ms (3.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done033
Total85893

Merged error: 0b

Counts
93 → 8

regimes203.0ms (8.3%)

Accuracy

Total 0.1b remaining (88.4%)

Threshold costs 0.1b (88.4%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
166

end0.0ms (0%)

sample933.0ms (38.1%)

Algorithm
1×intervals
Results
257.0ms943×body1280valid
223.0ms5133×body80valid
185.0ms1024×body640valid
84.0ms604×body320valid
26.0ms296×body160valid

Profiling

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