Details

Time bar (total: 2.2s)

sample28.0ms

Algorithm
intervals
Results
12.0ms274×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
040811
140811

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.3b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
8.8b
(/ x (* (- y z) (- y t)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
add-exp-log add-cbrt-cube
frac-times associate-/r/
add-cube-cbrt
associate-*r* associate-*l*
pow1 associate-*r/ associate-*l/
times-frac associate-/l*
cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
9.0ms
(* (- y z) (- y t))
8.0ms
(/ x (* (- y z) (- y t)))

series24.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* (- y z) (- y t))
18.0ms
(/ x (* (- y z) (- y t)))

simplify48.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04984754
14984754

prune92.0ms

Filtered
51 candidates to 69 candidates (-35.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New65469
Fresh000
Picked011
Done000
Total65570

Merged error: 0b

Counts
70 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
2.6b
(/ (/ x (- y z)) (- y t))

rewrite28.0ms

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*
add-exp-log add-cbrt-cube
flip3-- flip-- div-inv
cbrt-undiv div-exp
pow1 frac-2neg clear-num add-log-exp
associate-/l/
Counts
2 → 185
Calls
2 calls:
7.0ms
(/ x (- y z))
11.0ms
(/ (/ x (- y z)) (- y t))

series24.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ x (- y z))
17.0ms
(/ (/ x (- y z)) (- y t))

simplify82.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
050793096

prune143.0ms

Filtered
127 candidates to 191 candidates (-50.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1910191
Fresh033
Picked011
Done011
Total1915196

Merged error: 0b

Counts
196 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- y t))
0.0b
(/ 1 (- y z))
2.2b
(* (/ 1 (- y z)) (/ x (- y t)))

rewrite34.0ms

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*
prod-exp associate-/r/
pow1 cbrt-undiv associate-/l* unswap-sqr
flip3-- flip-- cbrt-unprod div-inv
rec-exp 1-exp add-log-exp
frac-2neg clear-num
frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 150
Calls
3 calls:
5.0ms
(/ x (- y t))
5.0ms
(/ 1 (- y z))
18.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

series42.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ x (- y t))
4.0ms
(/ 1 (- y z))
32.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

simplify53.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
053771513

prune126.0ms

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

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1590159
Fresh022
Picked011
Done022
Total1595164

Merged error: 0b

Counts
164 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- y t))
0.8b
(/ 1 (* (- y z) (- y t)))
8.5b
(* x (/ 1 (* (- y z) (- y t))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log
20×associate-*r*
19×add-cbrt-cube
18×add-sqr-sqrt flip3-- flip--
16×associate-/r/
14×*-un-lft-identity prod-exp
12×frac-times
10×pow1 add-cube-cbrt
div-exp associate-*l*
associate-*r/
times-frac associate-*l/ cbrt-unprod
cbrt-undiv rec-exp 1-exp
pow-prod-down associate-/l* add-log-exp
distribute-rgt-in sub-neg pow-flip distribute-lft-in *-commutative div-inv distribute-lft-out-- difference-of-squares unswap-sqr
frac-2neg clear-num associate-/r* un-div-inv inv-pow
Counts
3 → 110
Calls
3 calls:
9.0ms
(* (- y z) (- y t))
11.0ms
(/ 1 (* (- y z) (- y t)))
14.0ms
(* x (/ 1 (* (- y z) (- y t))))

series37.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* (- y z) (- y t))
13.0ms
(/ 1 (* (- y z) (- y t)))
18.0ms
(* x (/ 1 (* (- y z) (- y t))))

simplify63.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
050221210

prune97.0ms

Filtered
75 candidates to 119 candidates (-58.7%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1190119
Fresh011
Picked011
Done033
Total1195124

Merged error: 0b

Counts
124 → 5

regimes464.0ms

Accuracy

53.2% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.0b

bsearch29.0ms

Steps
ItersRangePoint
11
-3.0539893770015045e+97
-6.023492231827685e+76
-4.491713979474546e+83

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01726
11726

end0.0ms

sample654.0ms

Algorithm
intervals
Results
289.0ms8413×body80valid

Profiling

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