Details

Time bar (total: 4.7s)

analyze901.0ms

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
6.2%93.6%0.2%9
9.4%90.4%0.2%10
14%83.4%2.5%11
18.7%78.2%3.1%12
28.1%65.5%6.4%13
30.7%59.4%9.9%14

sample34.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
8.0ms179×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04815
14815

prune14.0ms

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: 29.9b

Counts
2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

5.1b
(* x (/ x (* y y)))
5.8b
(* z (/ z (* t t)))
12.8b
(/ x (* y y))
13.7b
(/ z (* t t))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
22×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity times-frac associate-*r*
10×prod-exp cbrt-unprod
8×pow1 cbrt-undiv div-exp
6×associate-*l* associate-/l*
4×div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 98
Calls
4 calls:
6.0ms
(* x (/ x (* y y)))
6.0ms
(* z (/ z (* t t)))
4.0ms
(/ x (* y y))
5.0ms
(/ z (* t t))

series20.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* x (/ x (* y y)))
5.0ms
(* z (/ z (* t t)))
5.0ms
(/ x (* y y))
5.0ms
(/ z (* t t))

simplify43.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05090716

prune178.0ms

Filtered
68 candidates to 110 candidates (-61.8%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New9713110
Fresh011
Picked101
Done000
Total9814112

Merged error: 2.3b

Counts
112 → 14

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (/ x (* y y))) (* (/ z t) (/ z t)))
0.3b
(* (/ z t) (/ z t))
5.1b
(* x (/ x (* y y)))
12.8b
(/ x (* y y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
47×times-frac
37×add-cube-cbrt *-un-lft-identity
30×add-exp-log add-cbrt-cube
20×associate-*r*
16×associate-*l*
13×pow1 swap-sqr
9×prod-exp cbrt-unprod
8×cbrt-undiv div-exp
6×associate-*r/ div-inv add-log-exp unswap-sqr
3×frac-add associate-/l*
2×frac-times pow-prod-down associate-*l/ *-commutative
1×+-commutative pow2 frac-2neg flip3-+ pow-plus clear-num associate-/r* sum-log pow-sqr pow-prod-up flip-+
Counts
4 → 130
Calls
4 calls:
8.0ms
(+ (* x (/ x (* y y))) (* (/ z t) (/ z t)))
10.0ms
(* (/ z t) (/ z t))
6.0ms
(* x (/ x (* y y)))
4.0ms
(/ x (* y y))

series38.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (* x (/ x (* y y))) (* (/ z t) (/ z t)))
5.0ms
(* (/ z t) (/ z t))
5.0ms
(* x (/ x (* y y)))
5.0ms
(/ x (* y y))

simplify55.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
050451191

prune169.0ms

Filtered
88 candidates to 142 candidates (-61.4%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New13210142
Fresh8513
Picked101
Done000
Total14115156

Merged error: 0.0b

Counts
156 → 15

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
0.3b
(* (/ x y) (/ x y))
0.3b
(* (/ z t) (/ z t))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
80×times-frac
59×add-cube-cbrt *-un-lft-identity
27×add-exp-log add-cbrt-cube
26×swap-sqr associate-*r* associate-*l*
17×pow1
9×frac-add
8×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
5×add-log-exp
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 154
Calls
3 calls:
6.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
11.0ms
(* (/ x y) (/ x y))
9.0ms
(* (/ z t) (/ z t))

series35.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
5.0ms
(* (/ x y) (/ x y))
6.0ms
(* (/ z t) (/ z t))

simplify53.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
050141479

prune192.0ms

Filtered
105 candidates to 163 candidates (-55.2%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New1585163
Fresh31114
Picked101
Done000
Total16216178

Merged error: 0b

Counts
178 → 16

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
2.6b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x y) (/ x (cbrt y))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
155×add-exp-log
78×prod-exp
57×add-cbrt-cube
48×div-exp
32×cbrt-unprod
22×cbrt-undiv
10×rec-exp 1-exp
9×pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
5×frac-times associate-*r/
4×add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 108
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
16.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x y) (/ x (cbrt y))))

series76.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
23.0ms
(cbrt y)
21.0ms
(cbrt y)
11.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x y) (/ x (cbrt y))))

simplify102.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (93.0ms)

IterNodesCost
04930749
14930749

prune64.0ms

Filtered
52 candidates to 120 candidates (-130.8%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1200120
Fresh01515
Picked011
Done000
Total12016136

Merged error: 0b

Counts
136 → 16

regimes709.0ms

Accuracy

-16.1% (3.2b remaining)

Error of 3.2b against oracle of 0.0b and baseline of 2.8b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03654
13654

end0.0ms

analyze865.0ms

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
6.2%93.6%0.2%9
9.4%90.4%0.2%10
14%83.4%2.5%11
18.7%78.2%3.1%12
28.1%65.5%6.4%13
30.7%59.4%9.9%14

sample993.0ms

Algorithm
intervals
Results
358.0ms8000×body80valid
275.0ms6076×body80invalid

Profiling

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