Details

Time bar (total: 1.4s)

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

sample20.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04019
14019

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.0b
(+ 2.30753 (* x 0.27061))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
14.4b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
18×*-un-lft-identity
16×add-cube-cbrt
10×add-exp-log times-frac add-cbrt-cube
9×associate-*r*
8×pow1
6×associate-*l* add-log-exp
4×flip3-+ associate-*r/ flip-+
3×associate-/r* associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod associate-/l/ difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp clear-num sum-log flip-- div-inv distribute-lft-out--
Counts
4 → 89
Calls
4 calls:
13.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
2.0ms
(+ 2.30753 (* x 0.27061))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series23.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
3.0ms
(+ 2.30753 (* x 0.27061))
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify54.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049881616
149881616

prune140.0ms

Filtered
74 candidates to 101 candidates (-36.5%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New992101
Fresh000
Picked101
Done000
Total1002102

Merged error: 0b

Counts
102 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.5b
(/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
13.8b
(* (+ 2.30753 (* x 0.27061)) (/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
19×times-frac
18×associate-*r*
13×add-exp-log add-cbrt-cube
8×pow1
6×flip3-+ associate-*l* flip-+ add-log-exp
4×associate-/r/
3×associate-*r/ prod-exp associate-/r* cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv frac-times div-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in clear-num sum-log
Counts
4 → 100
Calls
4 calls:
2.0ms
(+ 2.30753 (* x 0.27061))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
4.0ms
(/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
9.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series17.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ 2.30753 (* x 0.27061))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
4.0ms
(/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
5.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify28.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
050981666

prune169.0ms

Filtered
84 candidates to 112 candidates (-33.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1120112
Fresh011
Picked011
Done000
Total1122114

Merged error: 0b

Counts
114 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.5b
(pow (exp 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.7b
(log (pow (exp 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
14.4b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×*-un-lft-identity
19×add-cube-cbrt
10×times-frac
9×add-exp-log
8×log-prod add-cbrt-cube
7×pow1
6×unpow-prod-down pow-unpow
4×pow-pow add-log-exp
3×exp-prod flip3-+ rem-log-exp associate-*r* associate-*l* associate-/r* flip-+ associate-/l*
2×unpow-prod-up pow-to-exp sub-neg associate-*r/ pow-exp associate-/r/ associate-/l/ pow-sub difference-of-squares sqr-pow
1×cbrt-undiv distribute-rgt-in log-div frac-2neg distribute-lft-in div-exp pow-prod-down prod-exp clear-num log-pow *-commutative cbrt-unprod div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 98
Calls
4 calls:
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
11.0ms
(pow (exp 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
6.0ms
(log (pow (exp 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series64.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
12.0ms
(pow (exp 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
42.0ms
(log (pow (exp 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049462137
149462137

prune185.0ms

Filtered
79 candidates to 110 candidates (-39.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1100110
Fresh000
Picked011
Done011
Total1102112

Merged error: 0b

Counts
112 → 2

regimes54.0ms

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 (0.0ms)

IterNodesCost
03322
13322

end0.0ms

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

sample423.0ms

Algorithm
intervals
Results
339.0ms8000×body80valid

Profiling

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