Details

Time bar (total: 3.7s)

sample19.0ms

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

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))
0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b
(* x (+ 0.99229 (* x 0.04481)))
15.0b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
10×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1
4×flip3-+ flip-+
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×associate-*r/ associate-/r/ associate-/l/ difference-of-squares
1×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))
10.0ms
(- (/ (+ 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)))))

series248.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ 2.30753 (* x 0.27061))
86.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
67.0ms
(* x (+ 0.99229 (* x 0.04481)))
62.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify58.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0441781
11821736
25002736

prune201.0ms

Filtered
91 candidates to 68 candidates (74.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New88391
Fresh000
Picked101
Done000
Total89392

Merged error: 0b

Counts
92 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) x)
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.4b
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.6b
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
23×*-un-lft-identity
22×add-cube-cbrt
20×times-frac
19×add-exp-log
18×associate-*r*
13×add-cbrt-cube
9×pow1
6×associate-*l* add-log-exp
5×flip3-+ prod-exp flip-+
4×div-exp associate-/r/ unswap-sqr
3×associate-*r/ associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
1×distribute-rgt-in sub-neg flip3-- pow-flip frac-2neg distribute-lft-in diff-log clear-num un-div-inv flip-- inv-pow
Counts
4 → 109
Calls
4 calls:
8.0ms
(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) x)
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
4.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
10.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series251.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) x)
67.0ms
(* x (+ 0.99229 (* x 0.04481)))
38.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
60.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify79.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
05831083
12874976
25002949

prune380.0ms

Filtered
121 candidates to 80 candidates (66.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1192121
Fresh202
Picked011
Done000
Total1213124

Merged error: 0b

Counts
124 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.2b
(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
15.0b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
18.1b
(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/
7×pow1 flip3-+ flip-+
5×div-inv
4×add-log-exp
3×pow-unpow associate-*r* associate-*l* associate-/r* associate-/l*
2×cbrt-undiv cube-div cube-mult unpow3 associate-*r/ div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×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)))
7.0ms
(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
9.0ms
(/ (+ 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:
65.0ms
(* x (+ 0.99229 (* x 0.04481)))
83.0ms
(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
58.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
56.0ms
(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

simplify98.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
06751953
132851826
250011812

prune311.0ms

Filtered
161 candidates to 91 candidates (56.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1610161
Fresh011
Picked011
Done011
Total1613164

Merged error: 0b

Counts
164 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

14.6b
(* (+ 2.30753 (* x 0.27061)) (/ (/ 1 (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
15.4b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.4b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.4b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
118×times-frac
96×associate-*r*
80×cbrt-div
69×add-sqr-sqrt
57×cbrt-prod
53×*-un-lft-identity
51×add-cube-cbrt
50×associate-/r/
42×flip3-+ flip-+
32×add-exp-log
26×frac-times
14×associate-*l/
13×associate-*r/ add-cbrt-cube
11×div-exp prod-exp
7×div-inv unswap-sqr
6×pow1
5×cbrt-undiv cbrt-unprod
4×add-log-exp
3×pow1/3 associate-*l*
2×rec-exp 1-exp
1×pow-prod-down *-commutative
Counts
4 → 171
Calls
4 calls:
36.0ms
(* (+ 2.30753 (* x 0.27061)) (/ (/ 1 (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
2.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
2.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
2.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series484.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (+ 2.30753 (* x 0.27061)) (/ (/ 1 (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
144.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
138.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
138.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011403995
150013592

prune682.0ms

Filtered
183 candidates to 150 candidates (82.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1830183
Fresh000
Picked011
Done022
Total1833186

Merged error: 0b

Counts
186 → 3

regimes15.0ms

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
0259
1259

end0.0ms

sample328.0ms

Algorithm
intervals
Results
237.0ms8000×body80valid