Details

Time bar (total: 2.2s)

sample16.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify71.0ms

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

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

rewrite27.0ms

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))))
5.0ms
(* (+ 0.99229 (* x 0.04481)) x)
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series21.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ 0.99229 (* x 0.04481))
7.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
6.0ms
(* (+ 0.99229 (* x 0.04481)) x)
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify44.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0418785
11542737
25001731

prune125.0ms

Filtered
67 candidates to 89 candidates (-32.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New87289
Fresh000
Picked011
Done000
Total87390

Merged error: 0b

Counts
90 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ 2.30753 (* x 0.27061)))
0.8b
(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
3.3b
(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (cbrt (+ 2.30753 (* x 0.27061))))
11.8b
(/ (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (cbrt (+ 2.30753 (* x 0.27061)))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
62×add-sqr-sqrt
54×add-cube-cbrt *-un-lft-identity
49×cbrt-prod
32×cbrt-div
30×associate-/r*
20×add-exp-log
17×flip3-+ flip-+
11×pow1 add-cbrt-cube
10×associate-/l/
8×frac-times
7×cbrt-undiv pow1/3 div-exp associate-/r/
6×swap-sqr associate-*r* associate-*l*
4×associate-*r/ associate-*l/ div-inv associate-/l* add-log-exp unswap-sqr
3×prod-exp cbrt-unprod
2×frac-2neg pow-prod-down clear-num pow-sqr pow-prod-up
1×pow2 pow-plus *-commutative
Counts
4 → 180
Calls
4 calls:
2.0ms
(cbrt (+ 2.30753 (* x 0.27061)))
8.0ms
(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
7.0ms
(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (cbrt (+ 2.30753 (* x 0.27061))))
15.0ms
(/ (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (cbrt (+ 2.30753 (* x 0.27061)))))

series34.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(cbrt (+ 2.30753 (* x 0.27061)))
10.0ms
(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
11.0ms
(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (cbrt (+ 2.30753 (* x 0.27061))))
5.0ms
(/ (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (cbrt (+ 2.30753 (* x 0.27061)))))

simplify122.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
010203149
145872931
250012805

prune620.0ms

Filtered
146 candidates to 192 candidates (-31.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1920192
Fresh011
Picked011
Done011
Total1923195

Merged error: 0b

Counts
195 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ 0.99229 (* x 0.04481)) x)
0.3b
(* (+ (sqrt x) (sqrt (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))) (- (sqrt x) (sqrt (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))))
14.6b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
14.6b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
32×*-un-lft-identity
24×add-cube-cbrt
20×times-frac
14×associate-*r*
12×add-exp-log add-cbrt-cube
11×sqrt-prod
8×pow1 flip3-+ associate-*l* flip-+
6×associate-/r* associate-/l* difference-of-squares
4×frac-times associate-*l/ associate-/r/ associate-/l/ add-log-exp
3×flip3-- flip--
2×cbrt-undiv distribute-rgt-in sub-neg frac-2neg distribute-lft-in associate-*r/ div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv distribute-lft-out distribute-lft-out-- unswap-sqr
Counts
4 → 122
Calls
4 calls:
5.0ms
(* (+ 0.99229 (* x 0.04481)) x)
28.0ms
(* (+ (sqrt x) (sqrt (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))) (- (sqrt x) (sqrt (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series39.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (+ 0.99229 (* x 0.04481)) x)
24.0ms
(* (+ (sqrt x) (sqrt (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))) (- (sqrt x) (sqrt (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify81.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05912040
127451819
250031789

prune338.0ms

Filtered
101 candidates to 134 candidates (-32.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1340134
Fresh000
Picked011
Done022
Total1343137

Merged error: 0b

Counts
137 → 3

regimes61.0ms

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
0208
1208

end0.0ms

sample436.0ms

Algorithm
intervals
Results
312.0ms8000×body80valid

Profiling

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