Details

Time bar (total: 2.2s)

sample28.0ms

Algorithm
intervals
Results
9.0ms65×body640valid
5.0ms137×body80valid
3.0ms18×body1280valid
2.0ms22×body320valid
1.0ms14×body160valid

simplify15.0ms

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: 9.7b

Counts
2 → 1

localize13.0ms

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))
3.0b
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite58.0ms

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))
16.0ms
(- (/ 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 (38.0ms)

IterNodesCost
0496865
11681827
25001816

prune182.0ms

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: 0.4b

Counts
127 → 3

localize14.0ms

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))
15.8b
(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite50.0ms

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))
21.0ms
(/ (+ (* (- (* 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))
11.0ms
(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series19.0ms

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))

simplify52.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1351136
Fresh022
Picked101
Done000
Total1363139

Merged error: 0.4b

Counts
139 → 3

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))
0.4b
(/ 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:
6.0ms
(* (+ x 1.0) x)
9.0ms
(* (* (+ x 1.0) x) (- x 1.0))
10.0ms
(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series19.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* (+ x 1.0) x)
8.0ms
(* (* (+ x 1.0) x) (- x 1.0))
6.0ms
(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify59.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0430600
12219516
25002515

prune112.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New88593
Fresh112
Picked101
Done000
Total90696

Merged error: 0b

Counts
96 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2.0 (- x 1.0))
0.0b
(* (+ x 1.0) x)
0.1b
(* (/ 1 (* (+ x 1.0) x)) (/ 2.0 (- x 1.0)))
0.5b
(/ 1 (* (+ x 1.0) x))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
64×add-exp-log
50×add-sqr-sqrt
45×*-un-lft-identity
37×times-frac
34×add-cbrt-cube
29×add-cube-cbrt
24×associate-*r* prod-exp
20×div-exp
13×associate-*l*
11×pow1
10×cbrt-undiv cbrt-unprod
8×associate-/r/
7×associate-*l/ distribute-lft-out-- difference-of-squares
6×rec-exp 1-exp associate-/r* associate-/l*
4×div-inv add-log-exp
3×flip3-+ pow-prod-down flip-+ unswap-sqr
2×flip3-- pow-flip frac-2neg clear-num *-commutative flip--
1×frac-times associate-*r/ distribute-lft-out inv-pow
Counts
4 → 152
Calls
4 calls:
5.0ms
(/ 2.0 (- x 1.0))
6.0ms
(* (+ x 1.0) x)
16.0ms
(* (/ 1 (* (+ x 1.0) x)) (/ 2.0 (- x 1.0)))
6.0ms
(/ 1 (* (+ x 1.0) x))

series15.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 2.0 (- x 1.0))
4.0ms
(* (+ x 1.0) x)
6.0ms
(* (/ 1 (* (+ x 1.0) x)) (/ 2.0 (- x 1.0)))
3.0ms
(/ 1 (* (+ x 1.0) x))

simplify91.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
06461002
13429852
25002844

prune168.0ms

Filtered
102 candidates to 164 candidates (-60.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1631164
Fresh325
Picked011
Done000
Total1664170

Merged error: 0b

Counts
170 → 4

regimes29.0ms

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
0156
1156

end0.0ms

sample801.0ms

Algorithm
intervals
Results
264.0ms1828×body640valid
160.0ms4169×body80valid
105.0ms981×body320valid
100.0ms555×body1280valid
37.0ms469×body160valid

Profiling

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