Details

Time bar (total: 4.1s)

analyze928.0ms

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
2.3%97.4%0.2%9
4.7%95.1%0.2%10
12.7%87.1%0.2%11
15.9%83.9%0.2%12
24.9%74.9%0.2%13
33.2%66.5%0.2%14

sample32.0ms

Algorithm
intervals
Results
13.0ms255×body80valid
1.0ms17×body80invalid
0.0ms1×body160valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0185
1335
2585
31015
41455
51785
62045
72645
83525
94415
107075
119065
1210225
1310445
1410445

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.6b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
10.6b
(/ (* y (- z t)) (- z a))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
6.0ms
(* y (- z t))
13.0ms
(/ (* y (- z t)) (- z a))

series24.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(* y (- z t))
16.0ms
(/ (* y (- z t)) (- z a))

simplify199.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (170.0ms)

IterNodesCost
0267276
11217239
25001239

prune79.0ms

Filtered
40 candidates to 61 candidates (-52.5%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New56561
Fresh000
Picked101
Done000
Total57562

Merged error: 0.0b

Counts
62 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z a) (- z t))
1.3b
(/ y (/ (- z a) (- z t)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
7.0ms
(/ (- z a) (- z t))
12.0ms
(/ y (/ (- z a) (- z t)))

series29.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- z a) (- z t))
20.0ms
(/ y (/ (- z a) (- z t)))

simplify77.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06301780
128431729
250031726

prune156.0ms

Filtered
132 candidates to 200 candidates (-51.5%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1973200
Fresh224
Picked101
Done000
Total2005205

Merged error: 0.0b

Counts
205 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ z (- z t))
0.0b
(- (/ z (- z t)) (/ a (- z t)))
1.3b
(/ y (- (/ z (- z t)) (/ a (- z t))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
184×*-un-lft-identity
159×times-frac
134×add-sqr-sqrt
64×distribute-lft-out--
46×add-cube-cbrt
34×difference-of-squares
26×associate-/r/
23×associate-/r*
15×distribute-rgt-out--
13×flip3-- flip--
12×div-inv
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×add-log-exp
3×pow1
2×cbrt-undiv frac-2neg div-exp clear-num frac-sub sub-div
1×sub-neg diff-log
Counts
3 → 157
Calls
3 calls:
5.0ms
(/ z (- z t))
28.0ms
(- (/ z (- z t)) (/ a (- z t)))
28.0ms
(/ y (- (/ z (- z t)) (/ a (- z t))))

series50.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ z (- z t))
16.0ms
(- (/ z (- z t)) (/ a (- z t)))
29.0ms
(/ y (- (/ z (- z t)) (/ a (- z t))))

simplify54.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04431421
116101376
250021357

prune141.0ms

Filtered
120 candidates to 166 candidates (-38.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1660166
Fresh044
Picked011
Done000
Total1665171

Merged error: 0.0b

Counts
171 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
1.3b
(* y (/ (- z t) (- z a)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
7.0ms
(/ (- z t) (- z a))
15.0ms
(* y (/ (- z t) (- z a)))

series23.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ (- z t) (- z a))
15.0ms
(* y (/ (- z t) (- z a)))

simplify40.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0351647
11392606
25002606

prune76.0ms

Filtered
71 candidates to 108 candidates (-52.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1080108
Fresh033
Picked011
Done011
Total1085113

Merged error: 0.0b

Counts
113 → 5

regimes338.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127
1127

end0.0ms

analyze917.0ms

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
2.3%97.4%0.2%9
4.7%95.1%0.2%10
12.7%87.1%0.2%11
15.9%83.9%0.2%12
24.9%74.9%0.2%13
33.2%66.5%0.2%14

sample660.0ms

Algorithm
intervals
Results
334.0ms7997×body80valid
29.0ms738×body80invalid
0.0ms1×body640valid
0.0ms2×body160valid

Profiling

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