Details

Time bar (total: 2.1s)

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14

sample16.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify99.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (97.0ms)

IterNodesCost
0503617

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.0b
(+ 0.99229 (* x 0.04481))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
17.9b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
10×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1
4×flip3-+ flip-+
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×associate-*r/ associate-/r/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 78
Calls
4 calls:
13.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
3.0ms
(+ 0.99229 (* x 0.04481))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series21.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
3.0ms
(+ 0.99229 (* x 0.04481))
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify53.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
052371454

prune145.0ms

Filtered
68 candidates to 90 candidates (-32.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New86490
Fresh000
Picked101
Done000
Total87491

Merged error: 0b

Counts
91 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
0.2b
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
17.8b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
17.8b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
28×add-exp-log
24×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×sqrt-div
9×div-exp
8×pow1 prod-exp
6×flip3-+ associate-/r* associate-/r/ flip-+
5×cbrt-undiv
4×cbrt-unprod add-log-exp
3×div-inv associate-/l*
2×rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp associate-/l/
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 160
Calls
4 calls:
26.0ms
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
7.0ms
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
2.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
3.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series22.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
7.0ms
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
5.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
5.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
056324371

prune382.0ms

Filtered
113 candidates to 172 candidates (-52.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1720172
Fresh033
Picked011
Done000
Total1724176

Merged error: 0b

Counts
176 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.99229 (* x 0.04481))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.2b
(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
17.9b
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
60×add-sqr-sqrt
58×add-cube-cbrt *-un-lft-identity
19×add-exp-log
18×associate-/r*
13×add-cbrt-cube
11×associate-/r/
8×flip3-+ div-exp flip-+
7×pow1
6×div-inv associate-/l* add-log-exp
4×cbrt-undiv
3×associate-*r* associate-*l*
2×rec-exp frac-2neg 1-exp associate-*r/ clear-num associate-/l/
1×+-commutative distribute-rgt-in pow-flip distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
4 → 148
Calls
4 calls:
3.0ms
(+ 0.99229 (* x 0.04481))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
8.0ms
(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
6.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

series18.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ 0.99229 (* x 0.04481))
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
5.0ms
(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
5.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

simplify57.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049823290
149823290

prune246.0ms

Filtered
106 candidates to 160 candidates (-50.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1591160
Fresh112
Picked101
Done011
Total1613164

Merged error: 0b

Counts
164 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x 0.99229) (* x (* x 0.04481)))
0.1b
(* x (* x 0.04481))
0.2b
(/ 1 (/ (+ 1.0 (+ (* x 0.99229) (* x (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
17.9b
(/ (+ 1.0 (+ (* x 0.99229) (* x (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
97×*-un-lft-identity
65×add-sqr-sqrt add-cube-cbrt
22×add-exp-log
21×associate-/r*
17×distribute-lft-out
16×add-cbrt-cube
11×associate-/r/
10×pow1
8×div-exp
7×flip3-+ flip-+ associate-/l*
6×div-inv add-log-exp
4×cbrt-undiv
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×+-commutative pow-flip associate-*r* sum-log *-commutative inv-pow
Counts
4 → 161
Calls
4 calls:
4.0ms
(+ (* x 0.99229) (* x (* x 0.04481)))
5.0ms
(* x (* x 0.04481))
11.0ms
(/ 1 (/ (+ 1.0 (+ (* x 0.99229) (* x (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
10.0ms
(/ (+ 1.0 (+ (* x 0.99229) (* x (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

series19.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (* x 0.99229) (* x (* x 0.04481)))
3.0ms
(* x (* x 0.04481))
5.0ms
(/ 1 (/ (+ 1.0 (+ (* x 0.99229) (* x (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
5.0ms
(/ (+ 1.0 (+ (* x 0.99229) (* x (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

simplify58.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
050153565

prune229.0ms

Filtered
103 candidates to 173 candidates (-68.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1730173
Fresh011
Picked011
Done011
Total1733176

Merged error: 0b

Counts
176 → 3

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03421
13421

end0.0ms

sample436.0ms

Algorithm
intervals
Results
339.0ms8000×body80valid

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