Details

Time bar (total: 7.3s)

analyze897.0ms

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
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
13.2%86.5%0.2%11
16.8%83%0.2%12
22.7%77.1%0.2%13
24.1%74.7%1.3%14

sample39.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
3.0ms73×body80invalid

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1264
2464
3854
41274
51484
61654
72154
83034
93894
106024
117124
127914
137914

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.6b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
6.4b
(/ (* y (- z t)) a)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
5.0ms
(+ x (/ (* y (- z t)) a))
6.0ms
(* y (- z t))
7.0ms
(/ (* y (- z t)) a)

series40.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(+ x (/ (* y (- z t)) a))
7.0ms
(* y (- z t))
13.0ms
(/ (* y (- z t)) a)

simplify61.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0297325
11236280
25001280

prune106.0ms

Filtered
45 candidates to 70 candidates (-55.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New64670
Fresh000
Picked101
Done000
Total65671

Merged error: 0.0b

Counts
71 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
5.1b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
2.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
21.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series102.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt a)
25.0ms
(cbrt a)
27.0ms
(cbrt a)
23.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify70.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0500954
12500845
25001783

prune126.0ms

Filtered
85 candidates to 116 candidates (-36.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1151116
Fresh055
Picked101
Done000
Total1166122

Merged error: 0b

Counts
122 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt (* (cbrt a) (cbrt a)))
0.6b
(cbrt (cbrt a))
6.5b
(* (/ (/ y (* (cbrt a) (cbrt a))) (cbrt (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt (cbrt a))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
129×add-sqr-sqrt
124×times-frac
88×cbrt-prod
66×*-un-lft-identity
49×associate-*r*
48×add-cube-cbrt
36×add-exp-log
32×associate-*l*
22×add-cbrt-cube
20×unswap-sqr
14×cbrt-undiv div-exp
10×prod-exp cbrt-unprod
9×distribute-lft-out-- difference-of-squares
6×pow1 div-inv
4×add-log-exp
3×pow1/3
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 163
Calls
4 calls:
1.0ms
(cbrt a)
4.0ms
(cbrt (* (cbrt a) (cbrt a)))
2.0ms
(cbrt (cbrt a))
43.0ms
(* (/ (/ y (* (cbrt a) (cbrt a))) (cbrt (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt (cbrt a))))

series110.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt a)
39.0ms
(cbrt (* (cbrt a) (cbrt a)))
30.0ms
(cbrt (cbrt a))
19.0ms
(* (/ (/ y (* (cbrt a) (cbrt a))) (cbrt (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt (cbrt a))))

simplify106.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
09732613
143462434
250022394

prune192.0ms

Filtered
138 candidates to 175 candidates (-26.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1750175
Fresh055
Picked011
Done000
Total1756181

Merged error: 0b

Counts
181 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
6.4b
(/ y (/ a (- z t)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
19.0ms
(+ x (/ y (/ a (- z t))))
5.0ms
(/ a (- z t))
9.0ms
(/ y (/ a (- z t)))

series39.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(+ x (/ y (/ a (- z t))))
7.0ms
(/ a (- z t))
13.0ms
(/ y (/ a (- z t)))

simplify59.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05471150
123841110
250011107

prune129.0ms

Filtered
119 candidates to 160 candidates (-34.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1591160
Fresh224
Picked011
Done011
Total1615166

Merged error: 0b

Counts
166 → 5

regimes535.0ms

Accuracy

64.6% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.6b

bsearch2.7s

Steps
ItersRangePoint
8
6.82833416910549e+90
9.688461502147176e+94
6.937947530012358e+90
10
-2.0639247782599235e-38
-7.492845437002564e-51
-8.482868505157574e-39

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03113
13113

end0.0ms

analyze984.0ms

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
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
13.2%86.5%0.2%11
16.8%83%0.2%12
22.7%77.1%0.2%13
24.1%74.7%1.3%14

sample766.0ms

Algorithm
intervals
Results
314.0ms8000×body80valid
93.0ms2458×body80invalid

Profiling

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