Details

Time bar (total: 4.3s)

sample1.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 10.681152%

Guaranteed chance to sample good point: 75.205002%

Results
7.0ms256×body80valid
0.0ms11×body80invalid

simplify47.0ms

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: 12.9b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
12.2b
(/ (* x (+ y z)) z)

rewrite13.0ms

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:
5.0ms
(* 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)

simplify33.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0226206
11099177
25001177

prune63.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New46652
Fresh000
Picked101
Done000
Total47653

Merged error: 0.0b

Counts
53 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
3.6b
(/ 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)))

series17.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ z (+ y z))
12.0ms
(/ x (/ z (+ y z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0413869
11890835
25001832

prune107.0ms

Filtered
92 candidates to 129 candidates (-40.2%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1272129
Fresh325
Picked101
Done000
Total1314135

Merged error: 0b

Counts
135 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
3.7b
(* 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)
8.0ms
(* x (/ (+ y z) z))

series12.0ms

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

simplify84.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0233344
11013313
23948313
35001313

prune60.0ms

Filtered
49 candidates to 74 candidates (-51.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New74074
Fresh033
Picked011
Done000
Total74478

Merged error: 0b

Counts
78 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ z (+ y z))
0.2b
(/ 1 (/ (/ z (+ y z)) x))
3.6b
(/ (/ z (+ y z)) x)

rewrite56.0ms

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
4×pow1
3×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 383
Calls
3 calls:
5.0ms
(/ z (+ y z))
19.0ms
(/ 1 (/ (/ z (+ y z)) x))
8.0ms
(/ (/ z (+ y z)) x)

series23.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ z (+ y z))
8.0ms
(/ 1 (/ (/ z (+ y z)) x))
10.0ms
(/ (/ z (+ y z)) x)

simplify69.0ms

Algorithm
egg-herbie
Counts
392 → 392
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
012063744
150013334

prune267.0ms

Filtered
239 candidates to 392 candidates (-64.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New3920392
Fresh022
Picked011
Done011
Total3924396

Merged error: 0b

Counts
396 → 4

regimes168.0ms

Accuracy

11.6% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 3.3b

bsearch41.0ms

Steps
ItersRangePoint
8
2.8844410324221213e-139
2.507919737061967e-136
9.850501275738784e-137
9
-5.792002475892417e-62
-2.7694032727910913e-69
-4.619340497560806e-65

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0257
1257

end0.0ms

sample1.8s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 10.681152%

Guaranteed chance to sample good point: 75.205002%

Results
216.0ms8000×body80valid
14.0ms573×body80invalid

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