Details

Time bar (total: 2.4s)

sample19.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0288
1428
2508
3508

prune2.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b
(* x (+ 0.99229 (* x 0.04481)))
16.7b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
10×times-frac
add-exp-log add-cbrt-cube add-log-exp
pow1
flip3-+ flip-+
associate-*r* associate-*l* associate-/r* associate-/l*
associate-*r/ associate-/r/ associate-/l/ difference-of-squares
cbrt-undiv +-commutative distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 79
Calls
4 calls:
3.0ms
(+ 2.30753 (* x 0.27061))
11.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series240.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ 2.30753 (* x 0.27061))
84.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
62.0ms
(* x (+ 0.99229 (* x 0.04481)))
60.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0441781
11821736
25001736

prune171.0ms

Filtered
91 candidates to 68 candidates (74.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New89291
Fresh000
Picked101
Done000
Total90292

Merged error: 0.0b

Counts
92 → 2

localize14.0ms

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)
16.7b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
20.7b
(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

rewrite33.0ms

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/
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:
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
8.0ms
(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))

series262.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* x (+ 0.99229 (* x 0.04481)))
85.0ms
(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
59.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
59.0ms
(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

simplify102.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
06751949
132851824
250011812

prune267.0ms

Filtered
161 candidates to 91 candidates (56.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1610161
Fresh011
Picked011
Done000
Total1612163

Merged error: 0.0b

Counts
163 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ 2.30753 (* x 0.27061)))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
3.1b
(/ (sqrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
6.8b
(* (sqrt (+ 2.30753 (* x 0.27061))) (/ (sqrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
40×times-frac
37×add-cube-cbrt *-un-lft-identity
32×sqrt-prod
27×associate-*r*
13×add-exp-log add-cbrt-cube
pow1 associate-*l*
sqrt-div
flip3-+ flip-+ unswap-sqr
associate-/l*
associate-/r/ add-log-exp
associate-*r/ prod-exp associate-/r* cbrt-unprod
cbrt-undiv frac-times div-exp pow-prod-down associate-*l/ *-commutative div-inv associate-/l/
distribute-rgt-in rem-sqrt-square frac-2neg distribute-lft-in sqrt-pow1 pow1/2 clear-num
Counts
4 → 134
Calls
4 calls:
3.0ms
(sqrt (+ 2.30753 (* x 0.27061)))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
7.0ms
(/ (sqrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
16.0ms
(* (sqrt (+ 2.30753 (* x 0.27061))) (/ (sqrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series302.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(sqrt (+ 2.30753 (* x 0.27061)))
68.0ms
(* x (+ 0.99229 (* x 0.04481)))
128.0ms
(/ (sqrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
60.0ms
(* (sqrt (+ 2.30753 (* x 0.27061))) (/ (sqrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify86.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06331747
127611559
250021521

prune298.0ms

Filtered
146 candidates to 100 candidates (68.5%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1460146
Fresh000
Picked011
Done011
Total1462148

Merged error: 0.0b

Counts
148 → 2

regimes16.0ms

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
02310
12310

end0.0ms

sample412.0ms

Algorithm
intervals
Results
316.0ms8000×body80valid

Profiling

Loading profile data...