Details

Time bar (total: 2.3s)

sample21.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify145.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0319
1519
2699
3869
4949
51059
61399
71779
82029
92469
104169
116159
129929
1319489
1422409
1531549
1650019

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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
(+ 2.30753 (* x 0.27061))
0.0b
(+ 0.99229 (* x 0.04481))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
16.0b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite18.0ms

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-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 75
Calls
4 calls:
3.0ms
(+ 2.30753 (* x 0.27061))
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)))))

series194.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ 2.30753 (* x 0.27061))
31.0ms
(+ 0.99229 (* x 0.04481))
66.0ms
(* x (+ 0.99229 (* x 0.04481)))
60.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify53.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0401622
11709574
25001574

prune162.0ms

Filtered
87 candidates to 65 candidates (74.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New85287
Fresh000
Picked101
Done000
Total86288

Merged error: 0.0b

Counts
88 → 2

localize25.0ms

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))))
16.0b
(/ (+ 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)))

series215.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ 0.99229 (* x 0.04481))
65.0ms
(* x (+ 0.99229 (* x 0.04481)))
55.0ms
(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
58.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

simplify86.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06671864
133001699
250011618

prune242.0ms

Filtered
160 candidates to 95 candidates (59.4%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1591160
Fresh101
Picked101
Done000
Total1611162

Merged error: 0.0b

Counts
162 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x 0.99229) (* x (* x 0.04481)))
0.2b
(/ 1 (/ (+ 1.0 (+ (* x 0.99229) (* x (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
0.2b
(* x (* x 0.04481))
16.0b
(/ (+ 1.0 (+ (* x 0.99229) (* x (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

rewrite34.0ms

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)))
10.0ms
(/ 1 (/ (+ 1.0 (+ (* x 0.99229) (* x (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
5.0ms
(* x (* x 0.04481))
9.0ms
(/ (+ 1.0 (+ (* x 0.99229) (* x (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

series211.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(+ (* x 0.99229) (* x (* x 0.04481)))
60.0ms
(/ 1 (/ (+ 1.0 (+ (* x 0.99229) (* x (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
24.0ms
(* x (* x 0.04481))
58.0ms
(/ (+ 1.0 (+ (* x 0.99229) (* x (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

simplify87.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06782211
132401971
250011859

prune246.0ms

Filtered
173 candidates to 92 candidates (53.2%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1730173
Fresh000
Picked011
Done000
Total1731174

Merged error: 0.0b

Counts
174 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02911
12911

end0.0ms

sample459.0ms

Algorithm
intervals
Results
365.0ms8000×body80valid

Profiling

Loading profile data...