Details

Time bar (total: 2.8s)

analyze464.0ms

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

sample19.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms19×body80invalid

simplify24.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
07719
17719

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.6b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
5.6b
(/ x (* (- y z) (- t z)))

rewrite23.0ms

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:
9.0ms
(* (- y z) (- t z))
12.0ms
(/ x (* (- y z) (- t z)))

series34.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (- y z) (- t z))
26.0ms
(/ x (* (- y z) (- t z)))

simplify35.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05099731

prune95.0ms

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- t z))
0.0b
(/ 1 (- y z))
1.0b
(* (/ 1 (- y z)) (/ x (- t z)))

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*
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
(/ x (- t z))
5.0ms
(/ 1 (- y z))
18.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series58.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ x (- t z))
4.0ms
(/ 1 (- y z))
46.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
050271511

prune142.0ms

Filtered
99 candidates to 159 candidates (-60.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1572159
Fresh134
Picked011
Done011
Total1587165

Merged error: 0.0b

Counts
165 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (- t z))
0.6b
(cbrt (- t z))
0.6b
(cbrt (- t z))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt x)
3.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))

series110.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
30.0ms
(cbrt (- t z))
28.0ms
(cbrt (- t z))
29.0ms
(cbrt (- t z))

simplify63.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04882480
14882480

prune90.0ms

Filtered
52 candidates to 68 candidates (-30.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New67168
Fresh044
Picked011
Done022
Total67875

Merged error: 0b

Counts
75 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1 (- y z)) (* (* (cbrt (/ x (- t z))) (cbrt (/ x (- t z)))) (cbrt (/ x (- t z)))))
12.0b
(cbrt (/ x (- t z)))
12.0b
(cbrt (/ x (- t z)))
12.0b
(cbrt (/ x (- t z)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt *-un-lft-identity
63×cbrt-prod
60×times-frac
43×add-exp-log
40×add-cube-cbrt
27×cbrt-div
24×prod-exp
21×associate-*l*
17×frac-times add-cbrt-cube
13×pow1 associate-*r/
12×cbrt-unprod distribute-lft-out-- difference-of-squares
11×associate-*l/
8×associate-/r/
6×div-exp pow-prod-down
4×flip3-- flip-- div-inv add-log-exp
3×cbrt-undiv rec-exp pow1/3 1-exp
1×associate-*r* *-commutative
Counts
4 → 156
Calls
4 calls:
31.0ms
(* (/ 1 (- y z)) (* (* (cbrt (/ x (- t z))) (cbrt (/ x (- t z)))) (cbrt (/ x (- t z)))))
5.0ms
(cbrt (/ x (- t z)))
5.0ms
(cbrt (/ x (- t z)))
5.0ms
(cbrt (/ x (- t z)))

series166.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (/ 1 (- y z)) (* (* (cbrt (/ x (- t z))) (cbrt (/ x (- t z)))) (cbrt (/ x (- t z)))))
39.0ms
(cbrt (/ x (- t z)))
38.0ms
(cbrt (/ x (- t z)))
42.0ms
(cbrt (/ x (- t z)))

simplify69.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049241948
149241948

prune149.0ms

Filtered
116 candidates to 168 candidates (-44.8%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1680168
Fresh044
Picked011
Done033
Total1688176

Merged error: 0b

Counts
176 → 8

regimes561.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02627
12627

end0.0ms

sample455.0ms

Algorithm
intervals
Results
240.0ms8000×body80valid
11.0ms391×body80invalid

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