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))

rewrite5.0ms

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:
4.0ms
(/ 1.0 (* x x))

series3.0ms

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

simplify35.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05024152

prune35.0ms

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: 0.1b

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:
6.0ms
(/ (/ 1.0 x) x)

series3.0ms

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

simplify81.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
04714702
14714702

prune89.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New70373
Fresh022
Picked011
Done011
Total70777

Merged error: 0.0b

Counts
77 → 7

localize8.0ms

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)

rewrite10.0ms

Algorithm
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:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series89.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt x) (cbrt x))
21.0ms
(cbrt x)
23.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify43.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05165356

prune97.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New83285
Fresh044
Picked011
Done022
Total83992

Merged error: 0.0b

Counts
92 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (cbrt (* x x)))
0.2b
(/ (/ 1 (cbrt (* x x))) (* (cbrt x) (/ x 1.0)))
0.6b
(cbrt x)
21.9b
(cbrt (* x x))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
52×times-frac
47×add-exp-log
30×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×div-exp
19×add-cbrt-cube associate-/l*
14×cbrt-prod
12×cbrt-undiv
8×prod-exp
5×pow1 associate-/r*
4×rec-exp 1-exp cbrt-unprod div-inv add-log-exp
3×pow1/3
2×pow-flip frac-2neg clear-num
1×associate-*r/ associate-/r/ associate-/l/ inv-pow
Counts
4 → 119
Calls
4 calls:
4.0ms
(/ 1 (cbrt (* x x)))
10.0ms
(/ (/ 1 (cbrt (* x x))) (* (cbrt x) (/ x 1.0)))
1.0ms
(cbrt x)
2.0ms
(cbrt (* x x))

series73.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ 1 (cbrt (* x x)))
6.0ms
(/ (/ 1 (cbrt (* x x))) (* (cbrt x) (/ x 1.0)))
22.0ms
(cbrt x)
23.0ms
(cbrt (* x x))

simplify75.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
05011871

prune114.0ms

Filtered
70 candidates to 131 candidates (-87.1%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1301131
Fresh505
Picked101
Done303
Total1391140

Merged error: 0b

Counts
140 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
165

end0.0ms

sample234.0ms

Algorithm
intervals
Results
141.0ms8000×body80valid
0.0ms3×body80invalid

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