Details

Time bar (total: 2.2s)

analyze318.0ms (14.2%)

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
0%99.9%0.1%5
9.4%90.5%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
37.8%60.5%1.7%9
40%56%4%10
47.3%48.7%4%11
56.8%36.2%7%12
58.6%32.4%9%13
63.4%27.5%9%14

sample17.0ms (0.8%)

Algorithm
1×intervals
Results
6.0ms256×body80valid
0.0ms19×body80invalid

simplify281.0ms (12.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (280.0ms)

IterNodesCost
055207

prune5.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.4b

Counts
2 → 1

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.7b
(/ (* x (- y z)) y)

rewrite13.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 47
Calls

2 calls:

6.0ms
(/ (* x (- y z)) y)
6.0ms
(* x (- y z))

series16.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

9.0ms
(/ (* x (- y z)) y)
7.0ms
(* x (- y z))

simplify46.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04968384
14968384

prune77.0ms (3.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New47653
Fresh000
Picked011
Done000
Total47754

Merged error: 0.0b

Counts
54 → 7

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
1.5b
(/ x (/ y (- y z)))

rewrite19.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls

2 calls:

8.0ms
(/ x (/ y (- y z)))
5.0ms
(/ y (- y z))

series14.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

9.0ms
(/ x (/ y (- y z)))
5.0ms
(/ y (- y z))

simplify44.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
049911832
149911832

prune143.0ms (6.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1432145
Fresh325
Picked011
Done011
Total1466152

Merged error: 0b

Counts
152 → 6

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)
1.2b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ y (- y z))))

rewrite58.0ms (2.6%)

Algorithm
1×rewrite-expression-head
Rules
222×times-frac
151×add-sqr-sqrt
140×*-un-lft-identity
131×associate-*r*
104×add-cube-cbrt
74×cbrt-prod
25×add-exp-log
18×distribute-lft-out-- difference-of-squares
15×add-cbrt-cube
13×associate-/r/
9×pow1 prod-exp cbrt-unprod
7×div-inv
6×cbrt-undiv flip3-- div-exp flip--
5×unswap-sqr
4×add-log-exp
3×pow1/3 pow-prod-down
1×associate-*r/ associate-*l* *-commutative
Counts
4 → 193
Calls

4 calls:

31.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ y (- y z))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series108.0ms (4.8%)

Counts
4 → 12
Calls

4 calls:

34.0ms
(cbrt x)
31.0ms
(cbrt x)
23.0ms
(cbrt x)
19.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ y (- y z))))

simplify73.0ms (3.2%)

Algorithm
1×egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
050952414

prune241.0ms (10.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2050205
Fresh033
Picked011
Done022
Total2056211

Merged error: 0b

Counts
211 → 6

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

9.8b
(* (/ x y) (- y z))

rewrite10.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*r*
3×pow1
2×frac-times sub-neg flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 40
Calls

1 calls:

9.0ms
(* (/ x y) (- y z))

series9.0ms (0.4%)

Counts
1 → 3
Calls

1 calls:

9.0ms
(* (/ x y) (- y z))

simplify42.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04939380
14939380

prune44.0ms (2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New43043
Fresh022
Picked011
Done033
Total43649

Merged error: 0b

Counts
49 → 6

regimes214.0ms (9.5%)

Accuracy

Total 2.8b remaining (99.4%)

Threshold costs 0b (0%)

bsearch40.0ms (1.8%)

Steps
ItersRangePoint
9
3.6762443903125084e-287
1.1684149711742413e-280
2.116533356902775e-285
9
-3.4258279112194585e-193
-2.1479607544923965e-198
-3.768692521689939e-195

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03025
13025

end0.0ms (0%)

sample391.0ms (17.4%)

Algorithm
1×intervals
Results
202.0ms8000×body80valid
19.0ms757×body80invalid

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