Details

Time bar (total: 1.1s)

sample26.0ms

Algorithm
intervals
Results
11.0ms324×body80valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (32.0ms)

IterNodesCost
0226
1466
21116
32376
44056
55956
69196
726275
850015

prune13.0ms

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
(/ (- x z) y)
0.0b
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×associate-/r*
2×pow1 associate-+r+ associate-/l/
1×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 (+ 0.25 (/ (- x z) y))))

series14.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ (- x z) y)
8.0ms
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

simplify85.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0264320
1853293
23874293
35002293

prune60.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
10.0ms
(* 4.0 (/ (- x z) y))
6.0ms
(/ (- x z) y)

series16.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(* 4.0 (/ (- x z) y))
6.0ms
(/ (- x z) y)

simplify39.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0275397
11205366
25001366

prune67.0ms

Filtered
56 candidates to 82 candidates (-46.4%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New82082
Fresh000
Picked011
Done000
Total82183

Merged error: 0b

Counts
83 → 1

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample664.0ms

Algorithm
intervals
Results
368.0ms10149×body80valid

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