Details

Time bar (total: 2.6s)

analyze542.0ms

Algorithm
search

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms38×body80invalid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0224
1444
21144
32204
43544
55504
616694
750024

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.9b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
7.4b
(/ (* x (+ (- y z) 1.0)) z)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ distribute-lft-out add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 47
Calls
2 calls:
8.0ms
(* x (+ (- y z) 1.0))
8.0ms
(/ (* x (+ (- y z) 1.0)) z)

series18.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (+ (- y z) 1.0))
11.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify35.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0254285
11225238
25001238

prune62.0ms

Filtered
35 candidates to 53 candidates (-51.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New48553
Fresh000
Picked101
Done000
Total49554

Merged error: 0b

Counts
54 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
2.7b
(/ x (/ z (+ (- y z) 1.0)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×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 → 139
Calls
2 calls:
7.0ms
(/ z (+ (- y z) 1.0))
10.0ms
(/ x (/ z (+ (- y z) 1.0)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ z (+ (- y z) 1.0))
9.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify61.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04551177
121101129
250031126

prune131.0ms

Filtered
93 candidates to 145 candidates (-55.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1450145
Fresh044
Picked011
Done000
Total1455150

Merged error: 0b

Counts
150 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
3.2b
(* x (/ (+ (- y z) 1.0) z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
31×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt
19×associate-*r*
14×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×distribute-lft-out--
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×associate-+l- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 76
Calls
2 calls:
8.0ms
(/ (+ (- y z) 1.0) z)
11.0ms
(* x (/ (+ (- y z) 1.0) z))

series13.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (+ (- y z) 1.0) z)
9.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify35.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0267479
11167438
25001432

prune92.0ms

Filtered
48 candidates to 82 candidates (-70.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh033
Picked011
Done011
Total82587

Merged error: 0b

Counts
87 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
7.5b
(* (* x (+ (- y z) 1.0)) (/ 1 z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×associate-*r*
16×*-un-lft-identity add-cbrt-cube
13×add-sqr-sqrt prod-exp
11×add-cube-cbrt
9×pow1 times-frac
7×associate-*r/ cbrt-unprod
4×div-exp associate-*l* pow-prod-down
3×flip3-+ flip-+
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ *-commutative distribute-lft-out add-log-exp
1×distribute-rgt-in distribute-lft-in un-div-inv div-inv distribute-lft-out-- unswap-sqr
Counts
2 → 66
Calls
2 calls:
8.0ms
(* x (+ (- y z) 1.0))
12.0ms
(* (* x (+ (- y z) 1.0)) (/ 1 z))

series17.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (+ (- y z) 1.0))
10.0ms
(* (* x (+ (- y z) 1.0)) (/ 1 z))

simplify49.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0397447
12128364
25001351

prune53.0ms

Filtered
41 candidates to 72 candidates (-75.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh022
Picked011
Done022
Total72577

Merged error: 0b

Counts
77 → 5

regimes172.0ms

Accuracy

94.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.3b

bsearch380.0ms

Steps
ItersRangePoint
8
6.43049517409309e-62
1.5550974977914348e-58
6.39680717460759e-59
10
-9.634388410364354e-26
-3.1930438412473914e-37
-4.2205990084517974e-32

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0269
1269

end0.0ms

analyze355.0ms

Algorithm
search

sample420.0ms

Algorithm
intervals
Results
226.0ms8000×body80valid
28.0ms1030×body80invalid

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