Details

Time bar (total: 3.0s)

analyze374.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
23.8%74.5%1.7%9
40%56.4%3.7%10
46.9%48.7%4.4%11
48%45.8%6.2%12
58.1%32.2%9.7%13
62.1%27.2%10.6%14

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms35×body80invalid

simplify164.0ms

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: 12.4b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
11.6b
(/ (* 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)

series15.0ms

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

simplify35.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0254285
11225238
25001238

prune68.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New47653
Fresh000
Picked101
Done000
Total48654

Merged error: 0b

Counts
54 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
3.8b
(/ x (/ z (+ (- y z) 1.0)))

rewrite27.0ms

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))
13.0ms
(/ 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)))

simplify57.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04551177
121101129
250031126

prune138.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1441145
Fresh145
Picked011
Done000
Total1456151

Merged error: 0b

Counts
151 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
4.1b
(* 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))

simplify35.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0267479
11167438
25001432

prune95.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh044
Picked011
Done011
Total82688

Merged error: 0b

Counts
88 → 6

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ (- y z) 1.0))
10.1b
(/ (/ x z) (/ 1 (+ (- y z) 1.0)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
522×*-un-lft-identity
292×add-sqr-sqrt add-cube-cbrt
92×distribute-lft-out
46×distribute-lft-out--
38×div-inv
31×associate-/r/
28×add-exp-log
26×associate-/r*
18×div-exp
16×add-cbrt-cube associate-/l*
15×flip3-+ flip-+
9×cbrt-undiv
3×pow1 rec-exp 1-exp
2×frac-2neg clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
2 → 372
Calls
2 calls:
7.0ms
(/ 1 (+ (- y z) 1.0))
20.0ms
(/ (/ x z) (/ 1 (+ (- y z) 1.0)))

series14.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (+ (- y z) 1.0))
9.0ms
(/ (/ x z) (/ 1 (+ (- y z) 1.0)))

simplify72.0ms

Algorithm
egg-herbie
Counts
378 → 378
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
014154506
150014043

prune279.0ms

Filtered
174 candidates to 378 candidates (-117.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New3780378
Fresh033
Picked011
Done022
Total3786384

Merged error: 0b

Counts
384 → 6

regimes180.0ms

Accuracy

89% (0.3b remaining)

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

bsearch322.0ms

Steps
ItersRangePoint
8
5.657509596651844e+80
2.5098026021639484e+84
5.769587850293373e+80
8
-461.4913274323021
-0.01969600752796581
-0.4867453697827958

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02413
12413

end0.0ms

analyze366.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
23.8%74.5%1.7%9
40%56.4%3.7%10
46.9%48.7%4.4%11
48%45.8%6.2%12
58.1%32.2%9.7%13
62.1%27.2%10.6%14

sample568.0ms

Algorithm
intervals
Results
301.0ms8000×body80valid
38.0ms1003×body80invalid

Profiling

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