Details

Time bar (total: 3.0s)

sample26.0ms

Algorithm
intervals
Results
8.0ms63×body640valid
5.0ms134×body80valid
3.0ms21×body1280valid
2.0ms24×body320valid
1.0ms14×body160valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1317
2437
3577
4737
5927
61267
71587
82077
92097
102097

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: 9.0b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
0.0b
(/ 1.0 (+ x 1.0))
1.8b
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
83×*-un-lft-identity
47×times-frac
43×add-sqr-sqrt
23×add-cube-cbrt
14×distribute-lft-out--
13×distribute-lft-out
11×add-log-exp
9×associate-/r*
8×add-exp-log add-cbrt-cube difference-of-squares
6×associate-/l*
4×pow1 associate-/r/
3×flip3-- frac-add flip--
2×cbrt-undiv sub-neg associate-+l+ frac-2neg flip3-+ diff-log div-exp clear-num sum-log frac-sub flip-+ div-inv
1×+-commutative associate-+l-
Counts
4 → 114
Calls
4 calls:
5.0ms
(/ 1.0 (- x 1.0))
16.0ms
(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
5.0ms
(/ 1.0 (+ x 1.0))
30.0ms
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series314.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ 1.0 (- x 1.0))
41.0ms
(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
30.0ms
(/ 1.0 (+ x 1.0))
216.0ms
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0496865
11681827
25001816

prune214.0ms

Filtered
126 candidates to 92 candidates (73.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1233126
Fresh000
Picked011
Done000
Total1234127

Merged error: 0.1b

Counts
127 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
0.1b
(* (* (+ x 1.0) x) (- x 1.0))
0.2b
(- (* 1.0 x) (* (+ x 1.0) 2.0))
15.8b
(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
46×associate-*l/
22×flip3-- flip--
16×frac-times frac-add
13×add-sqr-sqrt
12×flip3-+ flip-+
11×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
10×associate-*r*
8×associate-*r/ add-log-exp
7×add-cube-cbrt sub-neg
6×distribute-rgt-in distribute-lft-in
4×associate-+l+ associate-*l* pow-prod-down prod-exp cbrt-unprod
2×*-commutative distribute-lft-out-- difference-of-squares
1×+-commutative diff-log sum-log unswap-sqr
Counts
4 → 107
Calls
4 calls:
13.0ms
(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
10.0ms
(* (* (+ x 1.0) x) (- x 1.0))
3.0ms
(- (* 1.0 x) (* (+ x 1.0) 2.0))
11.0ms
(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series175.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
94.0ms
(* (* (+ x 1.0) x) (- x 1.0))
36.0ms
(- (* 1.0 x) (* (+ x 1.0) 2.0))
1.0ms
(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

simplify126.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
07951594
144561513
250021513

prune289.0ms

Filtered
119 candidates to 87 candidates (73.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1172119
Fresh022
Picked101
Done011
Total1185123

Merged error: 0.1b

Counts
123 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.1b
(* (* (+ x 1.0) x) (- x 1.0))
0.1b
(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
18×associate-*l/
12×add-sqr-sqrt *-un-lft-identity
10×pow1
8×frac-times add-cube-cbrt associate-*r* associate-/r/
7×flip3-+ prod-exp cbrt-unprod flip-+
6×flip3-- flip--
5×associate-*l*
4×associate-*r/ pow-prod-down
3×cbrt-undiv times-frac div-exp associate-/l* add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in *-commutative
1×frac-2neg clear-num associate-/r* div-inv distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 84
Calls
3 calls:
6.0ms
(* (+ x 1.0) x)
10.0ms
(* (* (+ x 1.0) x) (- x 1.0))
11.0ms
(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series229.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* (+ x 1.0) x)
94.0ms
(* (* (+ x 1.0) x) (- x 1.0))
88.0ms
(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0430600
12219516
25002515

prune136.0ms

Filtered
93 candidates to 62 candidates (66.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New87693
Fresh303
Picked101
Done101
Total92698

Merged error: 0b

Counts
98 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.0b
(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
0.1b
(/ 2.0 (* (+ x 1.0) x))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
51×add-sqr-sqrt *-un-lft-identity
29×add-cube-cbrt
19×add-exp-log add-cbrt-cube
16×associate-*l/ associate-/r/
12×associate-/l*
10×distribute-lft-out-- difference-of-squares
8×flip3-+ flip-+ div-inv
7×cbrt-undiv div-exp
6×associate-/r*
5×pow1
4×associate-*l*
3×associate-*r* prod-exp cbrt-unprod add-log-exp
2×frac-2neg clear-num
1×flip3-- pow-prod-down *-commutative flip-- associate-/l/ distribute-lft-out unswap-sqr
Counts
3 → 122
Calls
3 calls:
6.0ms
(* (+ x 1.0) x)
11.0ms
(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
6.0ms
(/ 2.0 (* (+ x 1.0) x))

series164.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* (+ x 1.0) x)
86.0ms
(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
33.0ms
(/ 2.0 (* (+ x 1.0) x))

simplify69.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05601012
12547928
25002928

prune181.0ms

Filtered
131 candidates to 96 candidates (73.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1301131
Fresh235
Picked101
Done000
Total1334137

Merged error: 0b

Counts
137 → 4

regimes14.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1146

end0.0ms

sample724.0ms

Algorithm
intervals
Results
261.0ms1890×body640valid
146.0ms4105×body80valid
95.0ms570×body1280valid
94.0ms950×body320valid
33.0ms487×body160valid

Profiling

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