Details

Time bar (total: 2.2s)

sample18.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.0b
(+ 0.99229 (* x 0.04481))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
14.1b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite27.0ms

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:
10.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
3.0ms
(+ 0.99229 (* x 0.04481))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
7.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series240.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
31.0ms
(+ 0.99229 (* x 0.04481))
63.0ms
(* x (+ 0.99229 (* x 0.04481)))
61.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0437781
11823736
25001736

prune157.0ms

Filtered
91 candidates to 69 candidates (75.8%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New89291
Fresh000
Picked101
Done000
Total90292

Merged error: 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)
14.1b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
19.2b
(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

rewrite34.0ms

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)))
10.0ms
(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))

series263.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* x (+ 0.99229 (* x 0.04481)))
84.0ms
(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
60.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
55.0ms
(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

simplify96.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
06751949
132851824
250011812

prune251.0ms

Filtered
161 candidates to 92 candidates (57.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1610161
Fresh011
Picked011
Done000
Total1612163

Merged error: 0b

Counts
163 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x)
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
14.1b
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
96×times-frac
74×add-sqr-sqrt
63×*-un-lft-identity
58×add-cube-cbrt
19×add-exp-log
18×associate-/r*
13×add-cbrt-cube
11×associate-/r/
div-exp
pow1 flip3-+ flip-+ div-inv
associate-/l* add-log-exp
difference-of-squares
cbrt-undiv
associate-*r* associate-*l*
rec-exp frac-2neg 1-exp associate-*r/ clear-num associate-/l/ distribute-lft-out--
distribute-rgt-in sub-neg flip3-- pow-flip distribute-lft-in diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod inv-pow unswap-sqr
Counts
4 → 156
Calls
4 calls:
20.0ms
(- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x)
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
11.0ms
(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
7.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

series256.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x)
62.0ms
(* x (+ 0.99229 (* x 0.04481)))
55.0ms
(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
57.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

simplify90.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
07182127
134341881
250011875

prune224.0ms

Filtered
168 candidates to 99 candidates (58.9%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1680168
Fresh000
Picked011
Done011
Total1682170

Merged error: 0b

Counts
170 → 2

regimes11.0ms

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

sample400.0ms

Algorithm
intervals
Results
310.0ms8000×body80valid