Details

Time bar (total: 3.5s)

analyze344.0ms (9.9%)

Algorithm
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
25%74.9%0.1%5
43.7%56.2%0.1%6
43.7%46.8%9.5%7
46.8%42.1%11%8
46.8%36.7%16.5%9
48.4%34%17.7%10
48.4%31%20.6%11
49.2%29.6%21.3%12
49.2%28%22.8%13
49.6%27.3%23.1%14

sample70.0ms (2%)

Algorithm
intervals
Results
17.0ms57×body1280invalid
10.0ms52×body640invalid
8.0ms184×body80valid
7.0ms33×body640valid
5.0ms13×body1280valid
4.0ms27×body320invalid
2.0ms18×body320valid
2.0ms28×body80invalid
1.0ms13×body160invalid
1.0msbody160valid

simplify49.0ms (1.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049707
149707

prune10.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.9b

Counts
2 → 1

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
12.9b
(/ (* (sin x) (sinh y)) x)

rewrite12.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
pow1
sinh-def times-frac associate-*r* associate-*l* associate-/r* add-log-exp
cbrt-undiv associate-*r/ div-exp prod-exp cbrt-unprod
frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
3 → 49
Calls

3 calls:

5.0ms
(/ (* (sin x) (sinh y)) x)
4.0ms
(* (sin x) (sinh y))
1.0ms
(sinh y)

series44.0ms (1.3%)

Counts
3 → 9
Calls

3 calls:

20.0ms
(/ (* (sin x) (sinh y)) x)
17.0ms
(* (sin x) (sinh y))
7.0ms
(sinh y)

simplify43.0ms (1.2%)

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04995419
14995419

prune95.0ms (2.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New50858
Fresh000
Picked011
Done000
Total50959

Merged error: 0.0b

Counts
59 → 9

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/ (sinh y) x)
0.0b
(sinh y)
0.1b
(* (sin x) (/ (sinh y) x))

rewrite13.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
pow1
associate-*l* associate-/r* associate-/l* add-log-exp
cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
3 → 68
Calls

3 calls:

7.0ms
(* (sin x) (/ (sinh y) x))
3.0ms
(/ (sinh y) x)
1.0ms
(sinh y)

series43.0ms (1.3%)

Counts
3 → 9
Calls

3 calls:

19.0ms
(* (sin x) (/ (sinh y) x))
16.0ms
(/ (sinh y) x)
8.0ms
(sinh y)

simplify57.0ms (1.7%)

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04929627
14929627

prune103.0ms (3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New74377
Fresh167
Picked011
Done011
Total751186

Merged error: 0b

Counts
86 → 11

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/ x (sinh y))
0.0b
(sinh y)
0.9b
(/ (sin x) (/ x (sinh y)))

rewrite17.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
87×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×associate-/r*
10×add-exp-log add-cbrt-cube
sinh-def associate-/r/ div-inv associate-/l*
cbrt-undiv div-exp
pow1 add-log-exp
frac-2neg clear-num
Counts
3 → 110
Calls

3 calls:

9.0ms
(/ (sin x) (/ x (sinh y)))
3.0ms
(/ x (sinh y))
1.0ms
(sinh y)

series50.0ms (1.4%)

Counts
3 → 9
Calls

3 calls:

23.0ms
(/ x (sinh y))
19.0ms
(/ (sin x) (/ x (sinh y)))
8.0ms
(sinh y)

simplify73.0ms (2.1%)

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049191371
149191371

prune136.0ms (3.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1181119
Fresh358
Picked011
Done022
Total1219130

Merged error: 0b

Counts
130 → 9

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite11.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls

4 calls:

6.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series89.0ms (2.6%)

Counts
4 → 12
Calls

4 calls:

24.0ms
(* (cbrt x) (cbrt x))
23.0ms
(cbrt x)
21.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify47.0ms (1.4%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05165356

prune91.0ms (2.6%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New85085
Fresh055
Picked011
Done033
Total85994

Merged error: 0b

Counts
94 → 9

regimes234.0ms (6.7%)

Accuracy

Total 0.2b remaining (87.8%)

Threshold costs 0.2b (87.8%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
177

end0.0ms (0%)

sample1.8s (52.1%)

Algorithm
intervals
Results
445.0ms1495×body1280invalid
280.0ms6122×body80valid
271.0ms1292×body640invalid
143.0ms701×body640valid
130.0ms365×body1280valid
88.0ms613×body320invalid
74.0ms515×body320valid
36.0ms648×body80invalid
34.0ms297×body160valid
34.0ms309×body160invalid

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