Details

Time bar (total: 2.4s)

analyze425.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
15.6%84.2%0.2%8
28.1%71.7%0.2%9
37.4%62.4%0.2%10
41.7%58.1%0.2%11
53%46.8%0.2%12
64.1%35.6%0.3%13
66.7%32.8%0.5%14

sample18.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
0.0ms12×body80invalid

simplify24.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
07719
17719

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.9b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
7.8b
(/ x (* (- y z) (- t z)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv sub-neg div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 61
Calls
2 calls:
8.0ms
(* (- y z) (- t z))
12.0ms
(/ x (* (- y z) (- t z)))

series45.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(* (- y z) (- t z))
32.0ms
(/ x (* (- y z) (- t z)))

simplify35.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05099731

prune84.0ms

Filtered
51 candidates to 67 candidates (-31.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New62567
Fresh000
Picked011
Done000
Total62668

Merged error: 0.0b

Counts
68 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
1.7b
(/ (/ x (- y z)) (- t z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
5.0ms
(/ x (- y z))
11.0ms
(/ (/ x (- y z)) (- t z))

series35.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ x (- y z))
28.0ms
(/ (/ x (- y z)) (- t z))

simplify62.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
054073094

prune140.0ms

Filtered
129 candidates to 191 candidates (-48.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1892191
Fresh134
Picked011
Done011
Total1907197

Merged error: 0b

Counts
197 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y z) x)
0.4b
(/ 1 (* (/ (- y z) x) (- t z)))
1.6b
(* (/ (- y z) x) (- t z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
41×*-un-lft-identity
34×times-frac
31×add-exp-log
25×add-cube-cbrt
19×associate-*l* add-cbrt-cube
11×div-exp
8×pow1 prod-exp associate-/l* distribute-lft-out-- difference-of-squares
6×cbrt-undiv
5×flip3-- associate-*r* associate-/r/ flip--
4×frac-times associate-*r/ associate-/r* cbrt-unprod
3×rec-exp 1-exp div-inv add-log-exp
2×sub-neg pow-flip frac-2neg pow-prod-down associate-*l/ clear-num associate-/l/ unswap-sqr
1×distribute-rgt-in distribute-lft-in div-sub *-commutative inv-pow
Counts
3 → 121
Calls
3 calls:
5.0ms
(/ (- y z) x)
10.0ms
(/ 1 (* (/ (- y z) x) (- t z)))
13.0ms
(* (/ (- y z) x) (- t z))

series65.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ (- y z) x)
44.0ms
(/ 1 (* (/ (- y z) x) (- t z)))
14.0ms
(* (/ (- y z) x) (- t z))

simplify56.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049651291
149651291

prune105.0ms

Filtered
86 candidates to 130 candidates (-51.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1291130
Fresh134
Picked011
Done022
Total1307137

Merged error: 0b

Counts
137 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.0b
(/ x (- t z))
2.3b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- flip-- cbrt-unprod div-inv
3×rec-exp 1-exp add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 150
Calls
3 calls:
5.0ms
(/ 1 (- y z))
5.0ms
(/ x (- t z))
18.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series56.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- y z))
7.0ms
(/ x (- t z))
44.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
050271511

prune113.0ms

Filtered
100 candidates to 159 candidates (-59.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1581159
Fresh123
Picked011
Done123
Total1606166

Merged error: 0b

Counts
166 → 6

regimes384.0ms

Accuracy

-14.3% (2.4b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 2.1b

bsearch27.0ms

Steps
ItersRangePoint
8
8.913458061226474e+238
1.0268543595356796e+242
3.3299097976359798e+240
7
-3.341283735785179e-179
-6.471498494001832e-181
-2.348356340171026e-179

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03429
13429

end0.0ms

sample505.0ms

Algorithm
intervals
Results
270.0ms8000×body80valid
15.0ms465×body80invalid

Profiling

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