Details

Time bar (total: 2.6s)

sample227.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 96.875%

Results
10.0ms337×body80valid

simplify67.0ms

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: 8.9b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
8.3b
(/ (* 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)

series16.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* 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

prune73.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New46753
Fresh000
Picked011
Done000
Total46854

Merged error: 0.0b

Counts
54 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

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

simplify56.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04551177
121101129
250031126

prune148.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1432145
Fresh426
Picked011
Done011
Total1476153

Merged error: 0b

Counts
153 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
0.2b
(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
3.2b
(/ (/ z (+ (- y z) 1.0)) x)

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
595×*-un-lft-identity
335×add-sqr-sqrt add-cube-cbrt
104×distribute-lft-out
75×associate-/r*
52×distribute-lft-out--
35×associate-/r/
31×add-exp-log
27×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 → 435
Calls
3 calls:
13.0ms
(/ z (+ (- y z) 1.0))
34.0ms
(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
19.0ms
(/ (/ z (+ (- y z) 1.0)) x)

series24.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ z (+ (- y z) 1.0))
8.0ms
(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
10.0ms
(/ (/ z (+ (- y z) 1.0)) x)

simplify79.0ms

Algorithm
egg-herbie
Counts
444 → 444
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
012744863
150014382

prune405.0ms

Filtered
241 candidates to 444 candidates (-84.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New4440444
Fresh033
Picked011
Done022
Total4446450

Merged error: 0b

Counts
450 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
3.9b
(* 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

prune65.0ms

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

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New82082
Fresh022
Picked011
Done033
Total82688

Merged error: 0b

Counts
88 → 6

regimes248.0ms

Accuracy

92.2% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.3b

bsearch43.0ms

Steps
ItersRangePoint
10
4.745663721069536e-10
102488356.31035754
463.01287405801844
10
-3.739140108469111e-110
-8.138789195427272e-121
-3.693199900981428e-110

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02112
12112

end0.0ms

sample806.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 96.875%

Results
320.0ms10112×body80valid

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