Details

Time bar (total: 3.4s)

analyze919.0ms

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

sample29.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
1.0ms24×body80invalid

simplify90.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
0495211
1495211

prune13.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
3.0b
(* 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:
9.0ms
(/ (- z t) (- z a))
19.0ms
(* y (/ (- z t) (- z a)))

simplify49.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
050831163

prune114.0ms

Filtered
70 candidates to 108 candidates (-54.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1035108
Fresh011
Picked101
Done000
Total1046110

Merged error: 0b

Counts
110 → 6

localize10.0ms

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))
3.0b
(* y (- (/ z (- z a)) (/ t (- z a))))

rewrite76.0ms

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)))
6.0ms
(/ z (- z a))
33.0ms
(* y (- (/ z (- z a)) (/ t (- z a))))

series63.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ t (- z a))
17.0ms
(- (/ z (- z a)) (/ t (- z a)))
5.0ms
(/ z (- z a))
33.0ms
(* y (- (/ z (- z a)) (/ t (- z a))))

simplify55.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
057411615

prune139.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1521153
Fresh235
Picked011
Done000
Total1545159

Merged error: 0b

Counts
159 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) (- z t))
0.5b
(/ 1 (/ (- z a) (- z t)))
3.0b
(* y (/ 1 (/ (- z a) (- z t))))

rewrite72.0ms

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:
8.0ms
(/ (- z a) (- z t))
12.0ms
(/ 1 (/ (- z a) (- z t)))
30.0ms
(* y (/ 1 (/ (- z a) (- z t))))

series43.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/ (- z a) (- z t))
13.0ms
(/ 1 (/ (- z a) (- z t)))
22.0ms
(* y (/ 1 (/ (- z a) (- z t))))

simplify59.0ms

Algorithm
egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
050184366

prune255.0ms

Filtered
191 candidates to 336 candidates (-75.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New3360336
Fresh033
Picked011
Done011
Total3365341

Merged error: 0b

Counts
341 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
11.2b
(* (/ y (- z a)) (- z t))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*l*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*r* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times sub-neg associate-*r/ div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 85
Calls
2 calls:
5.0ms
(/ y (- z a))
12.0ms
(* (/ y (- z a)) (- z t))

series31.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ y (- z a))
24.0ms
(* (/ y (- z a)) (- z t))

simplify49.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05978882

prune72.0ms

Filtered
65 candidates to 91 candidates (-40.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New91091
Fresh022
Picked011
Done022
Total91596

Merged error: 0b

Counts
96 → 5

regimes536.0ms

Accuracy

62.9% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.3b

bsearch35.0ms

Steps
ItersRangePoint
8
2.7502153635185947e-37
7.949556110336409e-34
1.2496190522610542e-34
8
-6.284536343910102e-118
-1.982210960236209e-122
-3.099128616291226e-118

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05535
15535

end0.0ms

sample622.0ms

Algorithm
intervals
Results
306.0ms7999×body80valid
31.0ms757×body80invalid
0.0ms1×body160valid

Profiling

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