Details

Time bar (total: 1.8s)

analyze342.0ms

Algorithm
search

sample19.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms23×body80invalid

simplify85.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (33.0ms)

IterNodesCost
0226
1466
21116
32376
44056
55956
69196
726275
850015

prune11.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:
3.0ms
(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
6.0ms
(/ (- x z) y)

series13.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
6.0ms
(/ (- x z) y)

simplify87.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0263320
1854293
23889293
35001293

prune62.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New55257
Fresh101
Picked101
Done000
Total57259

Merged error: 0b

Counts
59 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
associate-+r+
pow1 add-exp-log +-commutative distribute-rgt-in add-sqr-sqrt add-cube-cbrt *-un-lft-identity distribute-lft-in flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 13
Calls
1 calls:
3.0ms
(+ 1.0 (* 4.0 (+ 0.75 (- (/ x y) (/ z y)))))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(+ 1.0 (* 4.0 (+ 0.75 (- (/ x y) (/ z y)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0117140
1429124
22328124
35001124

prune26.0ms

Filtered
13 candidates to 16 candidates (-23.1%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New15116
Fresh101
Picked101
Done000
Total17118

Merged error: 0b

Counts
18 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×*-un-lft-identity
12×associate-*r*
10×times-frac
add-cube-cbrt
associate-*r/ distribute-lft-out-- difference-of-squares
pow1 add-exp-log associate-*l* add-cbrt-cube
distribute-rgt-in sub-neg distribute-lft-in div-inv
flip3-- distribute-rgt-out-- pow-prod-down prod-exp *-commutative frac-sub flip-- cbrt-unprod sub-div add-log-exp unswap-sqr
Counts
1 → 35
Calls
1 calls:
14.0ms
(* 4.0 (- (/ x y) (/ z y)))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(* 4.0 (- (/ x y) (/ z y)))

simplify74.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0196201
1845182
23739182
35001182

prune38.0ms

Filtered
25 candidates to 38 candidates (-52.0%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New38038
Fresh000
Picked011
Done000
Total38139

Merged error: 0b

Counts
39 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

analyze330.0ms

Algorithm
search

sample539.0ms

Algorithm
intervals
Results
318.0ms8000×body80valid
34.0ms889×body80invalid

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