Details

Time bar (total: 2.1s)

sample20.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0288
1428
2508
3508

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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 3 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
14.0b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
73×*-un-lft-identity
28×distribute-lft-out
25×times-frac
19×add-sqr-sqrt
17×add-cube-cbrt associate-*l*
7×add-exp-log add-cbrt-cube
5×pow1 associate-*r* associate-/r* associate-/l* add-log-exp
4×flip3-+ flip-+
3×+-commutative
2×distribute-rgt-in distribute-lft-in associate-*r/ associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 90
Calls
3 calls:
6.0ms
(+ 2.30753 (* x 0.27061))
9.0ms
(* x (+ 0.99229 (* x 0.04481)))
19.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series351.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ 2.30753 (* x 0.27061))
253.0ms
(* x (+ 0.99229 (* x 0.04481)))
64.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0368771
11557727
25002725

prune129.0ms

Filtered
99 candidates to 55 candidates (44.4%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New98199
Fresh000
Picked101
Done000
Total991100

Merged error: 0b

Counts
100 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
0.1b
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
13.9b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
13.9b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
454×*-un-lft-identity
280×associate-/r*
252×frac-times
251×sqrt-prod
207×add-sqr-sqrt
159×add-cube-cbrt
144×distribute-lft-out
138×associate-/l*
110×times-frac
102×associate-*l*
46×associate-*r*
36×clear-num
35×frac-2neg
30×add-exp-log associate-/l/
20×flip3-+ flip-+
18×associate-*r/ add-cbrt-cube
15×unswap-sqr
14×associate-*l/
10×pow1 sqrt-div div-exp
8×prod-exp
6×associate-/r/
5×cbrt-undiv
4×un-div-inv cbrt-unprod add-log-exp
3×rec-exp pow-flip sqrt-pow1 pow1/2 1-exp div-inv
2×rem-sqrt-square
1×pow-prod-down *-commutative inv-pow
Counts
4 → 489
Calls
4 calls:
66.0ms
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
14.0ms
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
11.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
11.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series335.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
105.0ms
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
82.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
86.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify117.0ms

Algorithm
egg-herbie
Counts
501 → 501
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
015187877
150017028

prune552.0ms

Filtered
501 candidates to 169 candidates (66.3%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New5010501
Fresh000
Picked011
Done000
Total5011502

Merged error: 0b

Counts
502 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02716
12716

end0.0ms

sample341.0ms

Algorithm
intervals
Results
245.0ms8000×body80valid