Details

Time bar (total: 3.8s)

analyze872.0ms (22.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
16.4%83.4%0.2%11
19.9%79.9%0.2%12
21.6%77.2%1.2%13
24.8%73.7%1.4%14

sample28.0ms (0.7%)

Algorithm
intervals
Results
9.0ms256×body80valid
4.0ms111×body80invalid

simplify31.0ms (0.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
05509
15509

prune7.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.9b

Counts
2 → 1

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
6.6b
(/ (- (* x y) (* z t)) a)

rewrite10.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
associate-/r* associate-/l*
pow1 flip3-- flip-- associate-/l/
cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 41
Calls

2 calls:

5.0ms
(/ (- (* x y) (* z t)) a)
4.0ms
(- (* x y) (* z t))

series24.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

14.0ms
(/ (- (* x y) (* z t)) a)
10.0ms
(- (* x y) (* z t))

simplify41.0ms (1.1%)

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05334577

prune99.0ms (2.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New371047
Fresh000
Picked011
Done000
Total371148

Merged error: 6.6b

Counts
48 → 11

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
6.7b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite13.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×add-exp-log *-un-lft-identity times-frac
10×add-cube-cbrt
add-cbrt-cube
pow1 prod-exp add-log-exp
flip3-- associate-*l* flip-- unswap-sqr
frac-times div-exp associate-*l/ cbrt-unprod
cbrt-undiv sub-neg rec-exp diff-log 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv
Counts
2 → 51
Calls

2 calls:

9.0ms
(* (- (* x y) (* z t)) (/ 1 a))
3.0ms
(- (* x y) (* z t))

series24.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

14.0ms
(* (- (* x y) (* z t)) (/ 1 a))
10.0ms
(- (* x y) (* z t))

simplify45.0ms (1.2%)

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05281652

prune99.0ms (2.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New55257
Fresh279
Picked011
Done011
Total571168

Merged error: 6.6b

Counts
68 → 11

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* z t))
0.6b
(/ 1 (/ a (- (* x y) (* z t))))
6.4b
(/ a (- (* x y) (* z t)))

rewrite20.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
div-exp
flip3-- flip-- div-inv associate-/l*
add-log-exp
pow1 cbrt-undiv
rec-exp frac-2neg 1-exp clear-num
sub-neg pow-flip diff-log inv-pow
Counts
3 → 124
Calls

3 calls:

7.0ms
(/ 1 (/ a (- (* x y) (* z t))))
5.0ms
(/ a (- (* x y) (* z t)))
3.0ms
(- (* x y) (* z t))

series47.0ms (1.2%)

Counts
3 → 9
Calls

3 calls:

20.0ms
(/ 1 (/ a (- (* x y) (* z t))))
17.0ms
(/ a (- (* x y) (* z t)))
10.0ms
(- (* x y) (* z t))

simplify55.0ms (1.4%)

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
052082109

prune181.0ms (4.7%)

Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1303133
Fresh268
Picked011
Done022
Total13212144

Merged error: 6.6b

Counts
144 → 12

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* z t))
0.5b
(/ 1 (- (* x y) (* z t)))
6.5b
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

rewrite43.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
474×times-frac
221×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
47×add-exp-log
34×div-exp
32×div-inv
31×associate-/r/
18×associate-/r*
17×add-cbrt-cube
16×flip3-- flip-- associate-/l*
cbrt-undiv rec-exp 1-exp
add-log-exp
pow1
frac-2neg clear-num
sub-neg pow-flip diff-log associate-/l/ inv-pow
Counts
3 → 299
Calls

3 calls:

14.0ms
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))
8.0ms
(/ 1 (- (* x y) (* z t)))
3.0ms
(- (* x y) (* z t))

series42.0ms (1.1%)

Counts
3 → 9
Calls

3 calls:

21.0ms
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))
11.0ms
(/ 1 (- (* x y) (* z t)))
10.0ms
(- (* x y) (* z t))

simplify94.0ms (2.5%)

Algorithm
egg-herbie
Counts
308 → 308
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
053376602

prune413.0ms (10.8%)

Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New3080308
Fresh088
Picked011
Done033
Total30812320

Merged error: 6.6b

Counts
320 → 12

regimes886.0ms (23.1%)

Accuracy

Total 0.3b remaining (4.2%)

Threshold costs 0.3b (4.2%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0379
1379

end0.0ms (0%)

sample721.0ms (18.8%)

Algorithm
intervals
Results
272.0ms8000×body80valid
120.0ms2951×body80invalid

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