Details

Time bar (total: 1.8s)

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

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
0497717
1497717

prune4.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.99229 (* x 0.04481))
0.0b
(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
0.1b
(* (+ 0.99229 (* x 0.04481)) x)
13.2b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
9×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1
5×flip3-+ flip-+
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×+-commutative associate-*l/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 73
Calls
4 calls:
3.0ms
(+ 0.99229 (* x 0.04481))
4.0ms
(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
9.0ms
(* (+ 0.99229 (* x 0.04481)) x)
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series18.0ms

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

simplify34.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
052421217

prune126.0ms

Filtered
66 candidates to 85 candidates (-28.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New82385
Fresh000
Picked011
Done000
Total82486

Merged error: 0.0b

Counts
86 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.4b
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.7b
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
23×*-un-lft-identity
22×add-cube-cbrt
20×times-frac
19×add-exp-log
18×associate-*r*
13×add-cbrt-cube
9×pow1
6×flip3-+ associate-*l* flip-+ add-log-exp
5×prod-exp
4×div-exp associate-/r/ unswap-sqr
3×associate-*r/ associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times rec-exp associate-+r+ distribute-lft-in 1-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative pow-flip frac-2neg clear-num sum-log un-div-inv inv-pow
Counts
4 → 110
Calls
4 calls:
3.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
5.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
11.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series18.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
4.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
5.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify56.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
050621758

prune152.0ms

Filtered
80 candidates to 122 candidates (-52.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1220122
Fresh022
Picked011
Done011
Total1224126

Merged error: 0.0b

Counts
126 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.2b
(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
13.2b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
18.5b
(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
45×times-frac
44×add-cube-cbrt *-un-lft-identity
36×cbrt-prod
30×unpow-prod-down cube-prod
11×add-exp-log add-cbrt-cube
10×associate-/r/
7×pow1 flip3-+ flip-+
5×div-inv
4×add-log-exp
3×pow-unpow associate-*r* associate-*l* associate-/r* associate-/l*
2×cbrt-undiv cube-div cube-mult unpow3 associate-*r/ div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×distribute-rgt-in pow-to-exp cbrt-div pow-pow frac-2neg distribute-lft-in pow1/3 pow-prod-down prod-exp clear-num *-commutative rem-cbrt-cube cbrt-unprod unswap-sqr
Counts
4 → 149
Calls
4 calls:
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
7.0ms
(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
8.0ms
(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

series22.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
6.0ms
(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
5.0ms
(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

simplify49.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
050363519

prune202.0ms

Filtered
90 candidates to 161 candidates (-78.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1610161
Fresh011
Picked011
Done022
Total1614165

Merged error: 0.0b

Counts
165 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (+ 2.30753 (* x 0.27061)))
0.1b
(sqrt (+ 2.30753 (* x 0.27061)))
2.3b
(/ (sqrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
4.8b
(* (sqrt (+ 2.30753 (* x 0.27061))) (/ (sqrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
36×add-cube-cbrt *-un-lft-identity
35×sqrt-prod
24×associate-*r*
11×add-exp-log add-cbrt-cube
10×sqrt-div
8×pow1
7×flip3-+ flip-+
6×associate-*l* associate-/l* unswap-sqr
4×associate-/r/ add-log-exp
3×associate-/r*
2×cbrt-undiv frac-times rem-sqrt-square sqrt-pow1 pow1/2 div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 127
Calls
4 calls:
2.0ms
(sqrt (+ 2.30753 (* x 0.27061)))
3.0ms
(sqrt (+ 2.30753 (* x 0.27061)))
7.0ms
(/ (sqrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
17.0ms
(* (sqrt (+ 2.30753 (* x 0.27061))) (/ (sqrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series23.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (+ 2.30753 (* x 0.27061)))
4.0ms
(sqrt (+ 2.30753 (* x 0.27061)))
10.0ms
(/ (sqrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
5.0ms
(* (sqrt (+ 2.30753 (* x 0.27061))) (/ (sqrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify49.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050362905

prune271.0ms

Filtered
100 candidates to 139 candidates (-39.0%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1390139
Fresh000
Picked011
Done033
Total1394143

Merged error: 0.0b

Counts
143 → 4

regimes63.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
011619
111619

end0.0ms

sample435.0ms

Algorithm
intervals
Results
337.0ms8000×body80valid

Profiling

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