Details

Time bar (total: 1.1s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
75%18.7%6.3%5
75%9.4%15.7%6
75%4.7%20.4%7
75%2.3%22.7%8
75%1.2%23.9%9
75%0.6%24.5%10
75%0.3%24.7%11
75%0.1%24.9%12
75%0.1%25%13
75%0%25%14

sample9.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
065
165

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.5b
(/ 1.0 (* x x))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l*
2×cbrt-undiv div-exp
1×pow1 frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv add-log-exp
Counts
1 → 21
Calls
1 calls:
8.0ms
(/ 1.0 (* x x))

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(/ 1.0 (* x x))

simplify60.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04763152
14763152

prune31.0ms

Filtered
16 candidates to 24 candidates (-50.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New21324
Fresh000
Picked011
Done000
Total21425

Merged error: 0.0b

Counts
25 → 4

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/l*
6×add-exp-log add-cbrt-cube
5×div-inv
3×cbrt-undiv div-exp associate-/r*
1×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
1 → 70
Calls
1 calls:
5.0ms
(/ (/ 1.0 x) x)

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(/ (/ 1.0 x) x)

simplify61.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04961702
14961702

prune76.0ms

Filtered
48 candidates to 73 candidates (-52.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New71273
Fresh202
Picked011
Done011
Total73477

Merged error: 0.0b

Counts
77 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(pow (cbrt x) 2)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.8b
(/ 1 (* x (cbrt x)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow1 cbrt-prod
8×add-cbrt-cube
6×unpow-prod-down
4×pow1/3 div-exp add-log-exp
3×pow-unpow pow-flip times-frac prod-exp associate-/l*
2×cbrt-undiv rec-exp pow-pow 1-exp
1×pow-to-exp frac-2neg pow-prod-down pow-exp clear-num associate-/r* pow-prod-up cbrt-unprod div-inv unpow2 inv-pow sqr-pow
Counts
4 → 73
Calls
4 calls:
3.0ms
(pow (cbrt x) 2)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
5.0ms
(/ 1 (* x (cbrt x)))

series92.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(pow (cbrt x) 2)
21.0ms
(cbrt x)
20.0ms
(cbrt x)
27.0ms
(/ 1 (* x (cbrt x)))

simplify52.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04919339
14919339

prune85.0ms

Filtered
53 candidates to 85 candidates (-60.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New84185
Fresh011
Picked011
Done022
Total84589

Merged error: 0.0b

Counts
89 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1 (* x (cbrt x))) (/ 1.0 (cbrt (* x x))))
0.6b
(cbrt x)
0.8b
(/ 1 (* x (cbrt x)))
21.7b
(cbrt (* x x))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
60×add-exp-log
24×add-sqr-sqrt add-cbrt-cube
23×prod-exp
20×times-frac
19×div-exp
17×add-cube-cbrt *-un-lft-identity
16×associate-*r*
10×pow1
9×cbrt-undiv cbrt-unprod
8×cbrt-prod
7×associate-*l*
6×rec-exp 1-exp
4×add-log-exp
3×pow-flip pow1/3 div-inv associate-/l* unswap-sqr
2×pow-prod-down
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/r* *-commutative pow-prod-up inv-pow
Counts
4 → 107
Calls
4 calls:
12.0ms
(* (/ 1 (* x (cbrt x))) (/ 1.0 (cbrt (* x x))))
1.0ms
(cbrt x)
5.0ms
(/ 1 (* x (cbrt x)))
2.0ms
(cbrt (* x x))

series96.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (/ 1 (* x (cbrt x))) (/ 1.0 (cbrt (* x x))))
36.0ms
(cbrt x)
26.0ms
(/ 1 (* x (cbrt x)))
22.0ms
(cbrt (* x x))

simplify77.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04939686
14939686

prune116.0ms

Filtered
73 candidates to 119 candidates (-63.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1181119
Fresh101
Picked101
Done303
Total1231124

Merged error: 0b

Counts
124 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
165

end0.0ms

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
75%18.7%6.3%5
75%9.4%15.7%6
75%4.7%20.4%7
75%2.3%22.7%8
75%1.2%23.9%9
75%0.6%24.5%10
75%0.3%24.7%11
75%0.1%24.9%12
75%0.1%25%13
75%0%25%14

sample220.0ms

Algorithm
intervals
Results
138.0ms8000×body80valid
0.0ms1×body80invalid

Profiling

Loading profile data...