Details

Time bar (total: 3.4s)

sample32.0ms

Algorithm
intervals
Results
23.0ms256×body80valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0228
1338
2568
3728
4788
51008
61288
71618
81908
93508
106448
1110128
1222588
1350018

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.99229 (* x 0.04481))
0.0b
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.1b
(* (+ 0.99229 (* x 0.04481)) x)
12.9b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite36.0ms

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-*l/ associate-/r/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg 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 → 77
Calls
4 calls:
2.0ms
(+ 0.99229 (* x 0.04481))
12.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
11.0ms
(* (+ 0.99229 (* x 0.04481)) x)
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series258.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ 0.99229 (* x 0.04481))
91.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
68.0ms
(* (+ 0.99229 (* x 0.04481)) x)
59.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0418785
11542737
25001731

prune324.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))))
0.1b
(* (+ 0.99229 (* x 0.04481)) x)
0.2b
(/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))))
13.0b
(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))

rewrite58.0ms

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/
8×div-exp
7×pow1 flip3-+ flip-+ div-inv
6×associate-/l* add-log-exp
5×difference-of-squares
4×cbrt-undiv
3×associate-*r* associate-*l*
2×rec-exp frac-2neg 1-exp associate-*l/ clear-num associate-/l/ distribute-lft-out--
1×sub-neg flip3-- pow-flip diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod inv-pow unswap-sqr
Counts
4 → 154
Calls
4 calls:
26.0ms
(- x (/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))))
7.0ms
(* (+ 0.99229 (* x 0.04481)) x)
9.0ms
(/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))))
10.0ms
(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))

series278.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(- x (/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))))
69.0ms
(* (+ 0.99229 (* x 0.04481)) x)
58.0ms
(/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))))
60.0ms
(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))

simplify79.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
07032132
131881883
250021877

prune300.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.1b
(* (/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
12.9b
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
12.9b
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
28×add-exp-log
24×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×sqrt-div
9×div-exp
8×pow1 prod-exp
6×flip3-+ associate-/r* associate-/r/ flip-+
5×cbrt-undiv
4×cbrt-unprod add-log-exp
3×div-inv associate-/l*
2×rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp associate-/l/
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 160
Calls
4 calls:
12.0ms
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
40.0ms
(* (/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
3.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
3.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series399.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
59.0ms
(* (/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
83.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
85.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify111.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
07762840
141912554
250022413

prune438.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

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
0249
1249

end0.0ms

sample862.0ms

Algorithm
intervals
Results
758.0ms8000×body80valid