Details

Time bar (total: 3.3s)

sample753.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 12.518409%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
6.0ms256×body80valid
0.0ms17×body80invalid

simplify50.0ms

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: 13.9b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
13.2b
(/ (* x (+ y z)) z)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
pow1 associate-*r/ associate-*r*
times-frac associate-*l* associate-/r*
cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ add-log-exp
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))
6.0ms
(/ (* x (+ y z)) z)

series15.0ms

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

simplify35.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0226206
11099177
25001177

prune70.0ms

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: 0b

Counts
53 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
2.9b
(* x (/ (+ y z) z))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
16×associate-*r*
add-exp-log add-cbrt-cube
distribute-lft-out
pow1 associate-/l*
associate-*l* associate-/r*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 68
Calls
2 calls:
5.0ms
(/ (+ y z) z)
8.0ms
(* x (/ (+ y z) z))

series13.0ms

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

simplify90.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0233344
11013313
23948313
35001313

prune64.0ms

Filtered
47 candidates to 74 candidates (-57.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New74074
Fresh066
Picked011
Done000
Total74781

Merged error: 0b

Counts
81 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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/
add-exp-log add-cbrt-cube
div-inv associate-/l*
flip3-+ flip-+
cbrt-undiv div-exp
pow1 frac-2neg clear-num add-log-exp
Counts
2 → 123
Calls
2 calls:
4.0ms
(/ z (+ y z))
7.0ms
(/ x (/ z (+ y z)))

series16.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ z (+ y z))
9.0ms
(/ x (/ z (+ y z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0413869
11890835
25001832

prune99.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1272129
Fresh235
Picked011
Done011
Total1297136

Merged error: 0b

Counts
136 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ z (+ y z))
0.2b
(/ 1 (/ (/ z (+ y z)) x))
2.9b
(/ (/ z (+ y z)) x)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
648×times-frac
398×*-un-lft-identity
294×add-sqr-sqrt add-cube-cbrt
65×associate-/r*
52×distribute-lft-out
35×associate-/r/
31×add-exp-log
24×associate-/l*
23×div-inv
19×div-exp add-cbrt-cube
17×flip3-+ flip-+
10×cbrt-undiv
pow1
rec-exp frac-2neg 1-exp clear-num add-log-exp
pow-flip associate-/l/ inv-pow
Counts
3 → 383
Calls
3 calls:
5.0ms
(/ z (+ y z))
15.0ms
(/ 1 (/ (/ z (+ y z)) x))
8.0ms
(/ (/ z (+ y z)) x)

series28.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ z (+ y z))
8.0ms
(/ 1 (/ (/ z (+ y z)) x))
16.0ms
(/ (/ z (+ y z)) x)

simplify64.0ms

Algorithm
egg-herbie
Counts
392 → 392
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012063744
150013334

prune460.0ms

Filtered
238 candidates to 392 candidates (-64.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3911392
Fresh134
Picked101
Done022
Total3936399

Merged error: 0b

Counts
399 → 6

regimes172.0ms

Accuracy

42.6% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 3.3b

bsearch56.0ms

Steps
ItersRangePoint
7
6.72691662183598e-93
9.969244132436372e-91
2.875917050511806e-91
10
-3.56980196982605e+102
-2.566479143203177e+88
-7.826159242665321e+92

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0219
1219

end0.0ms

sample1.1s

Algorithm
intervals
sampling

Space saved by range analysis: 12.518409%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
204.0ms8000×body80valid
9.0ms379×body80invalid

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