Details

Time bar (total: 2.8s)

analyze235.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
25%74.9%0.1%6
25%74.9%0.1%7
43.7%56.2%0.1%8
62.4%37.4%0.1%9
65.5%34.3%0.1%10
71.8%27.7%0.5%11
79.2%19.7%1.1%12
80.2%18.7%1.1%13
82.8%15%2.2%14

sample31.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08211
18211

prune9.0ms

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: 6.0b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

3.3b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.3b
(* y (+ 1.0 (* z z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1 associate-*r/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 70
Calls
2 calls:
8.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
5.0ms
(* y (+ 1.0 (* z z)))

series29.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
12.0ms
(* y (+ 1.0 (* z z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04985885
14985885

prune133.0ms

Filtered
56 candidates to 76 candidates (-35.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New67976
Fresh011
Picked101
Done000
Total681078

Merged error: 4.7b

Counts
78 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

0.5b
(/ 1.0 (* (+ 1.0 (* z z)) x))
3.4b
(* (+ 1.0 (* z z)) x)
3.7b
(* (/ 1 y) (/ 1.0 (* (+ 1.0 (* z z)) x)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-cbrt-cube
25×add-sqr-sqrt
18×prod-exp
17×*-un-lft-identity times-frac
16×add-cube-cbrt div-exp associate-*l*
12×associate-*r*
10×cbrt-unprod
9×cbrt-undiv
7×pow1 associate-*l/
4×associate-/r/ unswap-sqr
3×rec-exp flip3-+ 1-exp flip-+ div-inv associate-/l* add-log-exp
2×pow-prod-down *-commutative
1×frac-times frac-2neg associate-*r/ clear-num associate-/r*
Counts
3 → 98
Calls
3 calls:
5.0ms
(/ 1.0 (* (+ 1.0 (* z z)) x))
5.0ms
(* (+ 1.0 (* z z)) x)
12.0ms
(* (/ 1 y) (/ 1.0 (* (+ 1.0 (* z z)) x)))

series27.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ 1.0 (* (+ 1.0 (* z z)) x))
6.0ms
(* (+ 1.0 (* z z)) x)
15.0ms
(* (/ 1 y) (/ 1.0 (* (+ 1.0 (* z z)) x)))

simplify62.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049531233
149531233

prune131.0ms

Filtered
69 candidates to 107 candidates (-55.1%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1043107
Fresh369
Picked011
Done000
Total10710117

Merged error: 2.6b

Counts
117 → 10

localize7.0ms

Local error

Found 2 expressions with local error:

3.4b
(* (+ 1.0 (* z z)) x)
3.9b
(/ (/ 1.0 y) (* (+ 1.0 (* z z)) x))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1 associate-*l/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 68
Calls
2 calls:
5.0ms
(* (+ 1.0 (* z z)) x)
8.0ms
(/ (/ 1.0 y) (* (+ 1.0 (* z z)) x))

series21.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* (+ 1.0 (* z z)) x)
15.0ms
(/ (/ 1.0 y) (* (+ 1.0 (* z z)) x))

simplify45.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04975897
14975897

prune101.0ms

Filtered
52 candidates to 74 candidates (-42.3%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh088
Picked011
Done011
Total741084

Merged error: 2.6b

Counts
84 → 10

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1.0 (* y x))
5.8b
(/ (/ 1.0 (* y x)) (+ 1.0 (* z z)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
10×associate-/l*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/r*
2×pow1 frac-2neg prod-exp clear-num associate-/r/ cbrt-unprod add-log-exp
1×flip3-+ flip-+ associate-/l/
Counts
2 → 71
Calls
2 calls:
4.0ms
(/ 1.0 (* y x))
7.0ms
(/ (/ 1.0 (* y x)) (+ 1.0 (* z z)))

series23.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ 1.0 (* y x))
19.0ms
(/ (/ 1.0 (* y x)) (+ 1.0 (* z z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
053141021

prune91.0ms

Filtered
59 candidates to 77 candidates (-30.5%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New77077
Fresh077
Picked011
Done022
Total771087

Merged error: 2.6b

Counts
87 → 10

regimes703.0ms

Accuracy

55.7% (1.9b remaining)

Error of 4.0b against oracle of 2.1b and baseline of 6.5b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04736
14736

end0.0ms

sample967.0ms

Algorithm
intervals
Results
250.0ms8000×body80valid

Profiling

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