Details

Time bar (total: 3.2s)

analyze881.0ms

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
33.3%66.5%0.2%14

sample27.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
1.0ms17×body80invalid

simplify90.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
0498211
1498211

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.5b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
2.0b
(* y (/ (- z t) (- z a)))

rewrite25.0ms

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))
13.0ms
(* y (/ (- z t) (- z a)))

series28.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ (- z t) (- z a))
16.0ms
(* y (/ (- z t) (- z a)))

simplify47.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050831163

prune120.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1026108
Fresh000
Picked101
Done000
Total1036109

Merged error: 0b

Counts
109 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z a))
0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 60
Calls
4 calls:
3.0ms
(cbrt (- z a))
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))

series108.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- z a))
26.0ms
(cbrt (- z t))
27.0ms
(cbrt (- z t))
29.0ms
(cbrt (- z t))

simplify54.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04940580
14940580

prune92.0ms

Filtered
56 candidates to 72 candidates (-28.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New72072
Fresh055
Picked011
Done000
Total72678

Merged error: 0b

Counts
78 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- z a))
0.0b
(- (/ z (- z a)) (/ t (- z a)))
0.0b
(/ z (- z a))
2.0b
(* y (- (/ z (- z a)) (/ t (- z a))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity
80×add-sqr-sqrt
66×times-frac
32×distribute-lft-out--
30×add-cube-cbrt
20×difference-of-squares
18×associate-*r*
12×associate-/r/
10×add-exp-log associate-/r* add-cbrt-cube
8×flip3-- flip--
6×pow1 distribute-rgt-out-- div-inv associate-/l* add-log-exp
4×associate-*r/
3×sub-neg associate-*l*
2×cbrt-undiv frac-2neg div-exp clear-num frac-sub sub-div
1×distribute-rgt-in distribute-lft-in diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 141
Calls
4 calls:
5.0ms
(/ t (- z a))
25.0ms
(- (/ z (- z a)) (/ t (- z a)))
5.0ms
(/ z (- z a))
32.0ms
(* y (- (/ z (- z a)) (/ t (- z a))))

series61.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ t (- z a))
17.0ms
(- (/ z (- z a)) (/ t (- z a)))
5.0ms
(/ z (- z a))
32.0ms
(* y (- (/ z (- z a)) (/ t (- z a))))

simplify52.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
057411615

prune135.0ms

Filtered
110 candidates to 153 candidates (-39.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1521153
Fresh134
Picked011
Done011
Total1536159

Merged error: 0b

Counts
159 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) (- z t))
0.1b
(/ 1 (/ (- z a) (- z t)))
2.0b
(* y (/ 1 (/ (- z a) (- z t))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
335×add-sqr-sqrt
323×*-un-lft-identity
157×add-cube-cbrt
98×associate-*r*
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×pow-flip div-sub associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 327
Calls
3 calls:
10.0ms
(/ (- z a) (- z t))
12.0ms
(/ 1 (/ (- z a) (- z t)))
29.0ms
(* y (/ 1 (/ (- z a) (- z t))))

series42.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (- z a) (- z t))
13.0ms
(/ 1 (/ (- z a) (- z t)))
21.0ms
(* y (/ 1 (/ (- z a) (- z t))))

simplify57.0ms

Algorithm
egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
050184366

prune229.0ms

Filtered
190 candidates to 336 candidates (-76.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New3351336
Fresh123
Picked101
Done022
Total3375342

Merged error: 0b

Counts
342 → 5

regimes331.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03833
13833

end0.0ms

sample583.0ms

Algorithm
intervals
Results
299.0ms7997×body80valid
24.0ms691×body80invalid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid

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