Details

Time bar (total: 1.5s)

analyze334.0ms

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
0%99.9%0.1%5
0%99.9%0.1%6
0%99.9%0.1%7
0%99.9%0.1%8
40.6%56.9%2.5%9
46%49.5%4.4%10
50.3%44.9%4.8%11
60.3%30.5%9.2%12
62.9%25.7%11.4%13
65.2%23.2%11.7%14

sample20.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms35×body80invalid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
0511611

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x z) y)
0.0b
(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
associate-/l*
add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
associate-/r*
pow1 associate-+r+ associate-/l/
cbrt-undiv +-commutative distribute-rgt-in flip3-- frac-2neg distribute-lft-in flip3-+ div-sub div-exp clear-num sum-log flip-- flip-+ div-inv
Counts
2 → 51
Calls
2 calls:
6.0ms
(/ (- x z) y)
3.0ms
(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))

series14.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ (- x z) y)
8.0ms
(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))

simplify52.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04754584
14754584

prune57.0ms

Filtered
42 candidates to 57 candidates (-35.7%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New56157
Fresh101
Picked101
Done000
Total58159

Merged error: 0b

Counts
59 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
add-exp-log add-cbrt-cube
distribute-lft-out-- difference-of-squares
associate-/l*
pow1
associate-*l* associate-/r*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
9.0ms
(* 4.0 (/ (- x z) y))
6.0ms
(/ (- x z) y)

series14.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(* 4.0 (/ (- x z) y))
6.0ms
(/ (- x z) y)

simplify49.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04994709
14994709

prune68.0ms

Filtered
59 candidates to 82 candidates (-39.0%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New82082
Fresh000
Picked011
Done000
Total82183

Merged error: 0b

Counts
83 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109
1109

end0.0ms

analyze334.0ms

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
0%99.9%0.1%5
0%99.9%0.1%6
0%99.9%0.1%7
0%99.9%0.1%8
40.6%56.9%2.5%9
46%49.5%4.4%10
50.3%44.9%4.8%11
60.3%30.5%9.2%12
62.9%25.7%11.4%13
65.2%23.2%11.7%14

sample486.0ms

Algorithm
intervals
Results
281.0ms8000×body80valid
36.0ms965×body80invalid

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