Details

Time bar (total: 3.1s)

sample846.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 14.621039%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
7.0ms256×body80valid
1.0ms24×body80invalid

simplify65.0ms

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: 13.7b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
12.8b
(/ (* x (+ (- y z) 1.0)) z)

rewrite19.0ms

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)

series16.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (+ (- y z) 1.0))
9.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify37.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0254285
11225238
25001238

prune81.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New44953
Fresh000
Picked101
Done000
Total45954

Merged error: 0b

Counts
54 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
3.3b
(/ x (/ z (+ (- y z) 1.0)))

rewrite25.0ms

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))
11.0ms
(/ x (/ z (+ (- y z) 1.0)))

series16.0ms

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

simplify60.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04551177
121101129
250031126

prune145.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1432145
Fresh538
Picked011
Done000
Total1486154

Merged error: 0b

Counts
154 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
3.7b
(* x (/ (+ (- y z) 1.0) z))

rewrite22.0ms

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))

series14.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (+ (- y z) 1.0) z)
9.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify36.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0267479
11167438
25001432

prune78.0ms

Filtered
50 candidates to 82 candidates (-64.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh044
Picked011
Done011
Total82688

Merged error: 0b

Counts
88 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

5.5b
(* (/ x z) (+ (- y z) 1.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
13×associate-*l*
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*r*
3×pow1
2×frac-times flip3-+ associate-*r/ prod-exp cbrt-unprod flip-+ distribute-lft-out unswap-sqr
1×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp
Counts
1 → 40
Calls
1 calls:
11.0ms
(* (/ x z) (+ (- y z) 1.0))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(* (/ x z) (+ (- y z) 1.0))

simplify34.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0334267
11328239
25001233

prune39.0ms

Filtered
30 candidates to 43 candidates (-43.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New43043
Fresh033
Picked011
Done022
Total43649

Merged error: 0b

Counts
49 → 6

regimes188.0ms

Accuracy

96.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.3b

bsearch53.0ms

Steps
ItersRangePoint
6
6.886906824375952e-13
9.429976584594652e-12
1.5158119451049442e-12
9
-1.6640967638070736e-15
-2.0976603758734548e-20
-2.0036450623856636e-19

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0259
1259

end0.0ms

sample1.2s

Algorithm
intervals
sampling

Space saved by range analysis: 14.621039%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
235.0ms8000×body80valid
19.0ms669×body80invalid

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