Details

Time bar (total: 2.2s)

analyze87.0ms (3.9%)

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

sample31.0ms (1.4%)

Algorithm
1×intervals
Results
7.0ms166×body80valid
6.0ms24×body1280valid
6.0ms31×body640valid
4.0ms30×body320valid
0.0ms5×body160valid

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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)

rewrite11.0ms (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))
3.0ms
(/ (sin y) y)

series15.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

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

simplify58.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05076493

prune109.0ms (5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New59665
Fresh000
Picked101
Done000
Total60666

Merged error: 0b

Counts
66 → 6

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(* x (* (sin y) (/ 1 y)))
0.3b
(* (sin y) (/ 1 y))

rewrite18.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
26×add-exp-log
18×add-sqr-sqrt
16×add-cbrt-cube
14×associate-*r*
13×prod-exp
12×*-un-lft-identity
11×add-cube-cbrt times-frac
9×pow1
7×cbrt-unprod
6×associate-*l*
4×associate-*r/ div-exp pow-prod-down
3×unswap-sqr
2×cbrt-undiv rec-exp 1-exp un-div-inv *-commutative add-log-exp
1×div-inv
Counts
2 → 60
Calls

2 calls:

9.0ms
(* x (* (sin y) (/ 1 y)))
7.0ms
(* (sin y) (/ 1 y))

series14.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

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

simplify42.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05113423

prune81.0ms (3.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New66066
Fresh055
Picked011
Done000
Total66672

Merged error: 0b

Counts
72 → 6

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(* (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))

rewrite26.0ms (1.2%)

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:

14.0ms
(* (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))

series95.0ms (4.3%)

Counts
4 → 12
Calls

4 calls:

31.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
22.0ms
(cbrt (/ (sin y) y))
21.0ms
(cbrt (/ (sin y) y))
21.0ms
(cbrt (/ (sin y) y))

simplify61.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049031647
149031647

prune184.0ms (8.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1560156
Fresh044
Picked011
Done011
Total1566162

Merged error: 0b

Counts
162 → 6

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin 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 (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series71.0ms (3.2%)

Counts
4 → 12
Calls

4 calls:

21.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
17.0ms
(cbrt (sin y))
17.0ms
(cbrt (sin y))
17.0ms
(cbrt (sin y))

simplify53.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04991490
14991490

prune92.0ms (4.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done022
Total85691

Merged error: 0b

Counts
91 → 6

regimes135.0ms (6.1%)

Accuracy

Total 0.2b remaining (89.1%)

Threshold costs 0.2b (89.1%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108
1108

end0.0ms (0%)

sample966.0ms (43.9%)

Algorithm
1×intervals
Results
268.0ms951×body1280valid
237.0ms5193×body80valid
194.0ms983×body640valid
81.0ms580×body320valid
27.0ms293×body160valid

Profiling

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