Details

Time bar (total: 3.7s)

sample32.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0.07018%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results
8.0ms61×body640valid
5.0ms131×body80valid
3.0ms19×body1280valid
3.0ms31×body320valid
1.0ms14×body160valid

simplify16.0ms

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

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.9b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(/ 1.0 (+ x 1.0))
0.0b
(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
2.4b
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite59.0ms

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))
5.0ms
(/ 1.0 (+ x 1.0))
15.0ms
(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
29.0ms
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series21.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 1.0 (- x 1.0))
2.0ms
(/ 1.0 (+ x 1.0))
3.0ms
(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
13.0ms
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0496865
11681827
25001816

prune187.0ms

Filtered
92 candidates to 126 candidates (-37.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1233126
Fresh000
Picked101
Done000
Total1243127

Merged error: 0.7b

Counts
127 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
0.3b
(* (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)))
2.4b
(- (* (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (- (/ 1.0 (+ x 1.0)) (/ 2.0 x))) (* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0))))
12.3b
(/ (- (* (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (- (/ 1.0 (+ x 1.0)) (/ 2.0 x))) (* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))) (- (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0))))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
340×*-un-lft-identity
225×times-frac
176×add-sqr-sqrt
150×frac-sub
101×distribute-lft-out--
94×frac-times
65×add-cube-cbrt
64×flip3-- flip--
52×associate-*r/ associate-*l/
51×difference-of-squares
47×associate-/l/
41×swap-sqr
31×associate-*r* associate-*l*
20×add-exp-log add-cbrt-cube
18×pow1
16×distribute-lft-out
13×associate-/r/
11×associate-/r*
6×add-log-exp
5×cbrt-undiv sub-neg div-exp prod-exp cbrt-unprod div-inv unswap-sqr
4×distribute-rgt-in distribute-lft-in associate--l+ associate-/l*
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
1×frac-2neg diff-log div-sub clear-num
Counts
4 → 352
Calls
4 calls:
18.0ms
(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
38.0ms
(* (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)))
35.0ms
(- (* (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (- (/ 1.0 (+ x 1.0)) (/ 2.0 x))) (* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0))))
74.0ms
(/ (- (* (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (- (/ 1.0 (+ x 1.0)) (/ 2.0 x))) (* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))) (- (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0))))

series42.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
4.0ms
(* (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)))
11.0ms
(- (* (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (- (/ 1.0 (+ x 1.0)) (/ 2.0 x))) (* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0))))
25.0ms
(/ (- (* (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (- (/ 1.0 (+ x 1.0)) (/ 2.0 x))) (* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))) (- (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0))))

simplify108.0ms

Algorithm
egg-herbie
Counts
364 → 364
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
017807719
150017418

prune1.5s

Filtered
222 candidates to 364 candidates (-64.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3631364
Fresh022
Picked011
Done000
Total3634367

Merged error: 0.6b

Counts
367 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1.0 x) (* (+ x 1.0) 2.0))
0.0b
(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
0.0b
(* (* (+ x 1.0) x) (- x 1.0))
17.5b
(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
88×associate-*l/
32×frac-add
31×flip3-- flip--
24×frac-times flip3-+ flip-+
18×add-exp-log add-cbrt-cube associate-/l/
12×associate-*r/
9×pow1 add-sqr-sqrt *-un-lft-identity
8×associate-/r/ add-log-exp
7×add-cube-cbrt
6×prod-exp cbrt-unprod
5×sub-neg associate-*r*
4×distribute-rgt-in associate-+l+ distribute-lft-in
3×cbrt-undiv times-frac div-exp pow-prod-down associate-/l*
1×+-commutative frac-2neg diff-log associate-*l* clear-num associate-/r* sum-log *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 124
Calls
4 calls:
3.0ms
(- (* 1.0 x) (* (+ x 1.0) 2.0))
20.0ms
(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
9.0ms
(* (* (+ x 1.0) x) (- x 1.0))
10.0ms
(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series18.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- (* 1.0 x) (* (+ x 1.0) 2.0))
6.0ms
(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
8.0ms
(* (* (+ x 1.0) x) (- x 1.0))
1.0ms
(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
09972264
150012129

prune370.0ms

Filtered
108 candidates to 136 candidates (-25.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1351136
Fresh022
Picked101
Done011
Total1364140

Merged error: 0.6b

Counts
140 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.0b
(* (* (+ x 1.0) x) (- x 1.0))
0.7b
(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

rewrite27.0ms

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:
5.0ms
(* (+ x 1.0) x)
9.0ms
(* (* (+ x 1.0) x) (- x 1.0))
10.0ms
(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series17.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* (+ x 1.0) x)
8.0ms
(* (* (+ x 1.0) x) (- x 1.0))
5.0ms
(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify57.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0430600
12219516
25002515

prune102.0ms

Filtered
62 candidates to 93 candidates (-50.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New90393
Fresh202
Picked101
Done101
Total94397

Merged error: 0b

Counts
97 → 3

regimes31.0ms

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
0105
1105

end0.0ms

sample737.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0.07018%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results
264.0ms1891×body640valid
152.0ms4127×body80valid
101.0ms971×body320valid
93.0ms541×body1280valid
33.0ms470×body160valid

Profiling

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