Details

Time bar (total: 2.7s)

analyze373.0ms

Algorithm
search

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms39×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: 9.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
8.6b
(/ (* 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))
9.0ms
(/ (* x (+ (- y z) 1.0)) z)

series18.0ms

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

simplify34.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0254285
11225238
25001238

prune61.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New49453
Fresh000
Picked011
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))
2.3b
(/ 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)))

simplify67.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04551177
121101129
250031126

prune137.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1450145
Fresh033
Picked011
Done011
Total1455150

Merged error: 0b

Counts
150 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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)
8.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify36.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0267479
11167438
25001432

prune69.0ms

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

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New82082
Fresh022
Picked011
Done022
Total82587

Merged error: 0b

Counts
87 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
0.2b
(/ 1 (/ z (* x (+ (- y z) 1.0))))
8.6b
(/ z (* x (+ (- y z) 1.0)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
31×add-exp-log
30×*-un-lft-identity
27×add-sqr-sqrt
25×add-cube-cbrt
19×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
7×cbrt-undiv
6×pow1 flip3-+ flip-+ div-inv associate-/l*
5×associate-*r* prod-exp
3×rec-exp 1-exp associate-*l* cbrt-unprod add-log-exp
2×frac-2neg clear-num distribute-lft-out
1×distribute-rgt-in pow-flip distribute-lft-in pow-prod-down *-commutative distribute-lft-out-- inv-pow unswap-sqr
Counts
3 → 111
Calls
3 calls:
8.0ms
(* x (+ (- y z) 1.0))
11.0ms
(/ 1 (/ z (* x (+ (- y z) 1.0))))
8.0ms
(/ z (* x (+ (- y z) 1.0)))

series28.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* x (+ (- y z) 1.0))
11.0ms
(/ 1 (/ z (* x (+ (- y z) 1.0))))
11.0ms
(/ z (* x (+ (- y z) 1.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0458853
12421731
25001682

prune82.0ms

Filtered
64 candidates to 120 candidates (-87.5%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1200120
Fresh011
Picked011
Done033
Total1205125

Merged error: 0b

Counts
125 → 5

regimes236.0ms

Accuracy

96% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.1b

bsearch423.0ms

Steps
ItersRangePoint
8
2.45368778883416e-21
3.743353764462102e-17
4.186790273217768e-21
10
-1.5764400594034914e-36
-6.2146873305248475e-50
-1.543677209817438e-36

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02112
12112

end0.0ms

analyze369.0ms

Algorithm
search

sample454.0ms

Algorithm
intervals
Results
237.0ms8000×body80valid
34.0ms1096×body80invalid

Profiling

Loading profile data...