Details

Time bar (total: 2.3s)

sample100.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 73.520795%

Results
10.0ms322×body80valid

simplify66.0ms

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: 9.7b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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:
9.0ms
(* x (+ (- y z) 1.0))
9.0ms
(/ (* x (+ (- y z) 1.0)) z)

series17.0ms

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

simplify38.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0254285
11225238
25001238

prune75.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New46753
Fresh000
Picked101
Done000
Total47754

Merged error: 0.0b

Counts
54 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
2.9b
(/ x (/ z (+ (- y z) 1.0)))

rewrite43.0ms

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:
14.0ms
(/ z (+ (- y z) 1.0))
19.0ms
(/ x (/ z (+ (- y z) 1.0)))

series201.0ms

Counts
2 → 6
Calls
2 calls:
190.0ms
(/ z (+ (- y z) 1.0))
11.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify61.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04551177
121101129
250031126

prune148.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1441145
Fresh156
Picked011
Done000
Total1457152

Merged error: 0b

Counts
152 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
3.0b
(* x (/ (+ (- y z) 1.0) z))

rewrite27.0ms

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:
9.0ms
(/ (+ (- y z) 1.0) z)
15.0ms
(* x (/ (+ (- y z) 1.0) z))

series15.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (+ (- y z) 1.0) z)
10.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify39.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0267479
11167438
25001432

prune82.0ms

Filtered
49 candidates to 82 candidates (-67.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh055
Picked011
Done011
Total82789

Merged error: 0b

Counts
89 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
6.7b
(* (/ x (* (cbrt z) (cbrt z))) (/ (+ (- y z) 1.0) (cbrt z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
42×add-sqr-sqrt
40×times-frac
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
12×distribute-lft-out
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
22.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (+ (- y z) 1.0) (cbrt z)))

series93.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt z)
29.0ms
(cbrt z)
25.0ms
(cbrt z)
15.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (+ (- y z) 1.0) (cbrt z)))

simplify63.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04851012
12402889
25001830

prune104.0ms

Filtered
79 candidates to 116 candidates (-46.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1160116
Fresh044
Picked011
Done022
Total1167123

Merged error: 0b

Counts
123 → 7

regimes273.0ms

Accuracy

89.2% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.0b

bsearch34.0ms

Steps
ItersRangePoint
10
1.6848505674742818e-07
102488356.31035754
0.0014484378170459206
6
-3.0277951026975787e-94
-6.330151246644736e-95
-2.9864687652659814e-94

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02112
12112

end0.0ms

sample721.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 73.520795%

Results
308.0ms10050×body80valid

Profiling

Loading profile data...