Details

Time bar (total: 3.7s)

sample62.0ms

Algorithm
intervals
Results
27.0ms382×body80valid
7.0ms133×body80nan

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
0496113
1496113

prune11.0ms

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: 2.7b

Counts
2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ 1.0 (* 10.0 k)) (* k k))
0.0b
(* a (pow k m))
2.7b
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
13×add-sqr-sqrt
10×add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity add-log-exp
7×associate-*r*
6×prod-exp
4×unpow-prod-down div-exp
3×pow1 times-frac associate-*l* associate-/r* sum-log unswap-sqr
2×cbrt-undiv pow-to-exp flip3-+ pow-exp associate-/r/ cbrt-unprod flip-+ sqr-pow
1×+-commutative associate-+l+ frac-2neg clear-num *-commutative div-inv associate-/l*
Counts
3 → 63
Calls
3 calls:
6.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
6.0ms
(* a (pow k m))
9.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series58.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
19.0ms
(* a (pow k m))
36.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify77.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
04928811
14928811

prune108.0ms

Filtered
49 candidates to 72 candidates (-46.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New67572
Fresh101
Picked011
Done000
Total68674

Merged error: 0.0b

Counts
74 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ a (sqrt (+ 1.0 (* k (+ k 10.0)))))
0.0b
(/ (* (/ a (sqrt (+ 1.0 (* k (+ k 10.0))))) (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
15.9b
(sqrt (+ 1.0 (* k (+ k 10.0))))
15.9b
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
24×times-frac sqrt-prod
15×add-cbrt-cube
12×associate-/r*
11×div-exp
8×sqrt-div
6×pow1 prod-exp
5×cbrt-undiv
4×flip3-+ associate-/r/ flip-+ associate-/l* add-log-exp
2×pow-to-exp rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 pow-exp clear-num cbrt-unprod div-inv
1×associate-*l/ associate-/l/
Counts
4 → 107
Calls
4 calls:
6.0ms
(/ a (sqrt (+ 1.0 (* k (+ k 10.0)))))
15.0ms
(/ (* (/ a (sqrt (+ 1.0 (* k (+ k 10.0))))) (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
3.0ms
(sqrt (+ 1.0 (* k (+ k 10.0))))
5.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

series66.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ a (sqrt (+ 1.0 (* k (+ k 10.0)))))
39.0ms
(/ (* (/ a (sqrt (+ 1.0 (* k (+ k 10.0))))) (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
4.0ms
(sqrt (+ 1.0 (* k (+ k 10.0))))
4.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify45.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
053441921

prune226.0ms

Filtered
88 candidates to 119 candidates (-35.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1190119
Fresh044
Picked011
Done011
Total1196125

Merged error: 0.0b

Counts
125 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.5b
(cbrt a)
2.7b
(/ (* (* (cbrt a) (cbrt a)) (* (pow k m) (cbrt a))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
18×prod-exp
16×add-cbrt-cube
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-exp
8×cbrt-unprod
5×cbrt-undiv
4×pow1 add-log-exp
3×times-frac pow1/3 associate-/r*
2×pow-to-exp pow-exp associate-/r/
1×frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l*
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
16.0ms
(/ (* (* (cbrt a) (cbrt a)) (* (pow k m) (cbrt a))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series115.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt a)
28.0ms
(cbrt a)
24.0ms
(cbrt a)
39.0ms
(/ (* (* (cbrt a) (cbrt a)) (* (pow k m) (cbrt a))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify55.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04940753
14940753

prune85.0ms

Filtered
50 candidates to 78 candidates (-56.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New78078
Fresh033
Picked011
Done022
Total78684

Merged error: 0.0b

Counts
84 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

2.6b
(* (/ (pow k m) (+ 1.0 (* k (+ k 10.0)))) a)
2.6b
(* (/ (pow k m) (+ 1.0 (* k (+ k 10.0)))) a)
7.2b
(sqrt (* (/ (pow k m) (+ 1.0 (* k (+ k 10.0)))) a))
7.2b
(sqrt (* (/ (pow k m) (+ 1.0 (* k (+ k 10.0)))) a))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt associate-*l*
48×times-frac
34×add-cube-cbrt *-un-lft-identity
24×add-exp-log
20×unpow-prod-down
14×pow1 add-cbrt-cube
8×prod-exp unswap-sqr sqr-pow
6×div-exp associate-*r*
4×sqrt-pow1 pow-prod-down associate-*l/ associate-/r/ cbrt-unprod add-log-exp
2×cbrt-undiv pow-to-exp flip3-+ pow1/2 sqrt-div pow-exp sqrt-prod *-commutative flip-+ div-inv
Counts
4 → 124
Calls
4 calls:
11.0ms
(* (/ (pow k m) (+ 1.0 (* k (+ k 10.0)))) a)
11.0ms
(* (/ (pow k m) (+ 1.0 (* k (+ k 10.0)))) a)
7.0ms
(sqrt (* (/ (pow k m) (+ 1.0 (* k (+ k 10.0)))) a))
7.0ms
(sqrt (* (/ (pow k m) (+ 1.0 (* k (+ k 10.0)))) a))

series223.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (/ (pow k m) (+ 1.0 (* k (+ k 10.0)))) a)
32.0ms
(* (/ (pow k m) (+ 1.0 (* k (+ k 10.0)))) a)
75.0ms
(sqrt (* (/ (pow k m) (+ 1.0 (* k (+ k 10.0)))) a))
77.0ms
(sqrt (* (/ (pow k m) (+ 1.0 (* k (+ k 10.0)))) a))

simplify45.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
051972184

prune297.0ms

Filtered
112 candidates to 136 candidates (-21.4%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1360136
Fresh022
Picked011
Done033
Total1366142

Merged error: 0.0b

Counts
142 → 6

regimes248.0ms

Accuracy

97.1% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.0b

bsearch31.0ms

Steps
ItersRangePoint
9
1.6311953634360996e+96
1.1487243557305423e+102
2.229180801034817e+99

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03544
13544

end0.0ms

sample1.7s

Algorithm
intervals
Results
869.0ms11935×body80valid
204.0ms4097×body80nan

Profiling

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