Details

Time bar (total: 4.2s)

sample45.0ms

Algorithm
intervals
Results
14.0ms55×body640valid
12.0ms142×body80valid
6.0ms19×body1280valid
6.0ms29×body320valid
2.0ms11×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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize12.0ms

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))
2.5b
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite270.0ms

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))
40.0ms
(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
215.0ms
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series299.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ 1.0 (- x 1.0))
26.0ms
(/ 1.0 (+ x 1.0))
40.0ms
(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
207.0ms
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0496865
11681827
25002816

prune247.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

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))
0.1b
(* (* (+ x 1.0) x) (- x 1.0))
15.0b
(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite57.0ms

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))
19.0ms
(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
20.0ms
(* (* (+ 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))

series171.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(- (* 1.0 x) (* (+ x 1.0) 2.0))
37.0ms
(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
91.0ms
(* (* (+ 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))

simplify124.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07951594
144561513
250021513

prune326.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

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:
10.0ms
(* (+ x 1.0) x)
23.0ms
(* (* (+ x 1.0) x) (- x 1.0))
17.0ms
(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series224.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* (+ x 1.0) x)
92.0ms
(* (* (+ x 1.0) x) (- x 1.0))
86.0ms
(/ 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

prune165.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

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)))
0.2b
(/ 1 (* (+ x 1.0) x))

rewrite77.0ms

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))
10.0ms
(* (+ x 1.0) x)
47.0ms
(* (/ 1 (* (+ x 1.0) x)) (/ 2.0 (- x 1.0)))
8.0ms
(/ 1 (* (+ x 1.0) x))

series195.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ 2.0 (- x 1.0))
41.0ms
(* (+ x 1.0) x)
95.0ms
(* (/ 1 (* (+ x 1.0) x)) (/ 2.0 (- x 1.0)))
31.0ms
(/ 1 (* (+ x 1.0) x))

simplify94.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
06461005
13429855
25002847

prune268.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes16.0ms

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
0145
1145

end0.0ms

sample1.4s

Algorithm
intervals
Results
486.0ms1808×body640valid
359.0ms4225×body80valid
194.0ms576×body1280valid
188.0ms913×body320valid
72.0ms482×body160valid