Details

Time bar (total: 1.6s)

analyze745.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 12.518409%

Guaranteed chance to sample good point: 80.10659%

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms14×body80invalid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1223
2333
3363
4423
5463
6543
72823
820723
950023

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.8b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
10.3b
(/ (* x (+ y z)) z)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
4×pow1 associate-*r/ associate-*r*
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
6.0ms
(* x (+ y z))
7.0ms
(/ (* x (+ y z)) z)

series15.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* x (+ y z))
9.0ms
(/ (* x (+ y z)) z)

simplify37.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0226206
11099177
25001177

prune68.0ms

Filtered
35 candidates to 52 candidates (-48.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New45752
Fresh000
Picked101
Done000
Total46753

Merged error: 0.0b

Counts
53 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
3.0b
(/ x (/ z (+ y z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
16×distribute-lft-out
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 → 123
Calls
2 calls:
5.0ms
(/ z (+ y z))
8.0ms
(/ x (/ z (+ y z)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ z (+ y z))
10.0ms
(/ x (/ z (+ y z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0413869
11890835
25001832

prune100.0ms

Filtered
91 candidates to 129 candidates (-41.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1281129
Fresh246
Picked011
Done000
Total1306136

Merged error: 0b

Counts
136 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
3.2b
(* x (/ (+ y z) z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
16×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
4×pow1 associate-/l*
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 68
Calls
2 calls:
5.0ms
(/ (+ y z) z)
9.0ms
(* x (/ (+ y z) z))

series13.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (+ y z) z)
9.0ms
(* x (/ (+ y z) z))

simplify86.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0233344
11013313
23948313
35001313

prune57.0ms

Filtered
48 candidates to 74 candidates (-54.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh044
Picked011
Done011
Total74680

Merged error: 0b

Counts
80 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (* x y) z) x)
5.9b
(/ (* x y) z)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt add-log-exp
3×times-frac associate-/r*
2×pow1 cbrt-undiv div-exp
1×+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 33
Calls
2 calls:
6.0ms
(+ (/ (* x y) z) x)
4.0ms
(/ (* x y) z)

series11.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (/ (* x y) z) x)
5.0ms
(/ (* x y) z)

simplify78.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0168160
1736144
23353142
35001142

prune27.0ms

Filtered
26 candidates to 39 candidates (-50.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New39039
Fresh033
Picked011
Done022
Total39645

Merged error: 0b

Counts
45 → 6

regimes184.0ms

bsearch0.0ms

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