Details

Time bar (total: 3.5s)

sample32.0ms

Algorithm
intervals
Results
9.0ms64×body640valid
7.0ms130×body80valid
4.0ms22×body1280valid
4.0ms33×body320valid
1.0ms7×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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.3b

localize8.0ms

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

rewrite225.0ms

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))
36.0ms
(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
175.0ms
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series308.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ 1.0 (- x 1.0))
28.0ms
(/ 1.0 (+ x 1.0))
41.0ms
(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
210.0ms
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify51.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0496865
11681827
25002816

prune243.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize13.0ms

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))
0.0b
(* (* (+ x 1.0) x) (- x 1.0))
16.5b
(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite54.0ms

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:
2.0ms
(- (* 1.0 x) (* (+ x 1.0) 2.0))
18.0ms
(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
19.0ms
(* (* (+ 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))

series172.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (* 1.0 x) (* (+ x 1.0) 2.0))
39.0ms
(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
93.0ms
(* (* (+ 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))

simplify120.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07951594
144561513
250021513

prune319.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.0b
(* (* (+ x 1.0) x) (- x 1.0))
0.3b
(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

rewrite50.0ms

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:
9.0ms
(* (+ x 1.0) x)
22.0ms
(* (* (+ x 1.0) x) (- x 1.0))
16.0ms
(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series232.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* (+ x 1.0) x)
95.0ms
(* (* (+ x 1.0) x) (- x 1.0))
90.0ms
(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0430600
12219516
25002515

prune161.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

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:
9.0ms
(* (+ x 1.0) x)
12.0ms
(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
5.0ms
(/ 2.0 (* (+ x 1.0) x))

series175.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* (+ x 1.0) x)
91.0ms
(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
38.0ms
(/ 2.0 (* (+ x 1.0) x))

simplify67.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05601012
12547928
25001928

prune230.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes15.0ms

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

sample893.0ms

Algorithm
intervals
Results
288.0ms1882×body640valid
240.0ms4137×body80valid
120.0ms967×body320valid
107.0ms568×body1280valid
40.0ms449×body160valid