Details

Time bar (total: 1.3s)

analyze4.0ms (0.3%)

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

sample15.0ms (1.2%)

Algorithm
intervals
Results
10.0ms256×body80valid

simplify73.0ms (5.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
0497717
1497717

prune4.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize11.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
0.0b
(+ 0.99229 (* x 0.04481))
0.1b
(* (+ 0.99229 (* x 0.04481)) x)
14.2b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite18.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
pow1
flip3-+ flip-+
associate-*r* associate-*l* associate-/r* associate-/l*
+-commutative associate-*l/ sum-log associate-/r/ associate-/l/
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:

6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
5.0ms
(* (+ 0.99229 (* x 0.04481)) x)
3.0ms
(+ 0.99229 (* x 0.04481))
3.0ms
(+ 2.30753 (* x 0.27061))

series20.0ms (1.6%)

Counts
4 → 12
Calls

4 calls:

7.0ms
(+ 0.99229 (* x 0.04481))
6.0ms
(* (+ 0.99229 (* x 0.04481)) x)
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
3.0ms
(+ 2.30753 (* x 0.27061))

simplify33.0ms (2.5%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
050051145

prune146.0ms (11.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh000
Picked011
Done000
Total84286

Merged error: 0b

Counts
86 → 2

localize16.0ms (1.3%)

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
14.2b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
19.9b
(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

rewrite31.0ms (2.4%)

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/
pow1 flip3-+ flip-+
div-inv
add-log-exp
pow-unpow associate-*r* associate-*l* associate-/r* associate-/l*
cbrt-undiv cube-div cube-mult unpow3 associate-*r/ div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
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:

8.0ms
(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))
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)))))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))

series21.0ms (1.6%)

Counts
4 → 12
Calls

4 calls:

6.0ms
(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
5.0ms
(cbrt (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)))))

simplify46.0ms (3.6%)

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
050363519

prune408.0ms (31.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1610161
Fresh000
Picked011
Done011
Total1612163

Merged error: 0b

Counts
163 → 2

regimes52.0ms (4%)

Accuracy

Total 0.0b remaining (19.7%)

Threshold costs 0.0b (19.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06917
16917

end0.0ms (0%)

sample403.0ms (30.9%)

Algorithm
intervals
Results
315.0ms8000×body80valid

Profiling

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