Details

Time bar (total: 28.0s)

sample71.0ms

Algorithm
intervals
Results
24.0ms54×body1280valid
20.0ms50×body640valid
12.0ms125×body80valid
4.0ms16×body320valid
2.0ms11×body160valid

simplify237.0ms

Counts
1 → 1
Iterations
IterNodes
17206
16206
15204
14192
13143
12112
1199
1090
968
851
740
630
524
421
320
217
113
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 1) (- x 1))
0.0b
(/ x (+ x 1))
3.0b
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
1284×*-un-lft-identity
984×times-frac
841×add-sqr-sqrt
612×prod-diff
521×add-cube-cbrt
251×distribute-lft-out
158×difference-of-squares
110×associate-/r/
90×distribute-lft-out--
77×difference-of-sqr-1
55×div-inv
37×flip3-+ flip-+
20×flip3-- flip--
18×fma-neg
11×associate-/r*
7×add-cbrt-cube add-exp-log associate-/l*
5×add-log-exp
3×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
2×cbrt-undiv clear-num frac-2neg div-exp associate-/l/
1×sub-neg diff-log frac-sub
Counts
3 → 753
Calls
3 calls:
26.0ms
(/ (+ x 1) (- x 1))
16.0ms
(/ x (+ x 1))
72.0ms
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

series161.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (+ x 1) (- x 1))
31.0ms
(/ x (+ x 1))
104.0ms
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

simplify1.6s

Counts
762 → 762
Iterations
IterNodes
23098
11349
0584

prune2.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (* x x))
0.5b
(/ -3 (* x (* x x)))
0.5b
(/ 1 (* x x))
7.0b
(- (/ -3 (* x (* x x))) (+ (/ 1 (* x x)) (/ 3 x)))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
42×prod-diff
36×times-frac
33×add-sqr-sqrt
30×add-cube-cbrt
29×add-exp-log
26×pow1
25×div-inv
23×add-cbrt-cube
16×distribute-lft-out
9×prod-exp add-log-exp
8×distribute-rgt-out
7×fma-neg div-exp cbrt-unprod
6×pow-prod-up pow-flip associate-/l*
5×cbrt-undiv
4×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u distribute-lft-out--
3×associate-*l* frac-sub
2×pow2 rec-exp clear-num associate-/r* frac-2neg pow-plus diff-log 1-exp pow-sqr
1×sum-log sub-neg flip3-+ flip3-- cube-unmult associate-*r* frac-add *-commutative flip-+ flip-- associate--r+ inv-pow difference-of-squares unswap-sqr
Counts
4 → 162
Calls
4 calls:
20.0ms
(* x (* x x))
20.0ms
(/ -3 (* x (* x x)))
14.0ms
(/ 1 (* x x))
133.0ms
(- (/ -3 (* x (* x x))) (+ (/ 1 (* x x)) (/ 3 x)))

series157.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* x (* x x))
57.0ms
(/ -3 (* x (* x x)))
18.0ms
(/ 1 (* x x))
32.0ms
(- (/ -3 (* x (* x x))) (+ (/ 1 (* x x)) (/ 3 x)))

simplify11.2s

Counts
174 → 174
Iterations
IterNodes
37248
21970
1576
0224

prune529.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (+ (/ -1 x) -3) x)
0.1b
(* x (* x x))
0.5b
(/ -3 (* x (* x x)))
7.0b
(+ (/ -3 (* x (* x x))) (/ (+ (/ -1 x) -3) x))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
20×add-cbrt-cube add-exp-log
19×add-sqr-sqrt
18×pow1 times-frac add-cube-cbrt
7×fma-def associate-/l*
6×prod-exp cbrt-unprod add-log-exp
5×pow-prod-up distribute-lft-out
4×expm1-log1p-u cbrt-undiv associate-/r* div-exp insert-posit16 log1p-expm1-u
3×associate-*l* pow-prod-down div-inv
2×clear-num frac-2neg flip3-+ flip-+ associate-/l/
1×pow2 +-commutative sum-log pow-plus cube-unmult associate-*r* frac-add pow-sqr *-commutative unswap-sqr
Counts
4 → 112
Calls
4 calls:
24.0ms
(/ (+ (/ -1 x) -3) x)
13.0ms
(* x (* x x))
12.0ms
(/ -3 (* x (* x x)))
68.0ms
(+ (/ -3 (* x (* x x))) (/ (+ (/ -1 x) -3) x))

series172.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(/ (+ (/ -1 x) -3) x)
40.0ms
(* x (* x x))
43.0ms
(/ -3 (* x (* x x)))
28.0ms
(+ (/ -3 (* x (* x x))) (/ (+ (/ -1 x) -3) x))

simplify4.4s

Counts
124 → 124
Iterations
IterNodes
35287
21192
1390
0162

prune362.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

7.0b
(+ (/ -3 (* x (* x x))) (* (* (cbrt (/ (+ (/ -1 x) -3) x)) (cbrt (/ (+ (/ -1 x) -3) x))) (cbrt (/ (+ (/ -1 x) -3) x))))
17.0b
(cbrt (/ (+ (/ -1 x) -3) x))
17.0b
(cbrt (/ (+ (/ -1 x) -3) x))
17.0b
(cbrt (/ (+ (/ -1 x) -3) x))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-prod *-un-lft-identity
39×times-frac
30×add-sqr-sqrt add-cube-cbrt
15×cbrt-div
9×distribute-lft-out
7×fma-def frac-add
6×add-log-exp
5×frac-times associate-*l/
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u div-inv
3×pow1/3 associate-*r/
1×+-commutative sum-log flip3-+ flip-+
Counts
4 → 112
Calls
4 calls:
70.0ms
(+ (/ -3 (* x (* x x))) (* (* (cbrt (/ (+ (/ -1 x) -3) x)) (cbrt (/ (+ (/ -1 x) -3) x))) (cbrt (/ (+ (/ -1 x) -3) x))))
5.0ms
(cbrt (/ (+ (/ -1 x) -3) x))
5.0ms
(cbrt (/ (+ (/ -1 x) -3) x))
6.0ms
(cbrt (/ (+ (/ -1 x) -3) x))

series368.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(+ (/ -3 (* x (* x x))) (* (* (cbrt (/ (+ (/ -1 x) -3) x)) (cbrt (/ (+ (/ -1 x) -3) x))) (cbrt (/ (+ (/ -1 x) -3) x))))
95.0ms
(cbrt (/ (+ (/ -1 x) -3) x))
77.0ms
(cbrt (/ (+ (/ -1 x) -3) x))
74.0ms
(cbrt (/ (+ (/ -1 x) -3) x))

simplify2.4s

Counts
124 → 124
Iterations
IterNodes
34850
21209
1411
0169

prune645.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes63.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 31.0b

bsearch138.0ms

Steps
ItersRangePoint
10
1.8230705747381016e-09
4364471.442644652
6909.881176444165
9
-32298.533864343164
-0.030639508246526274
-0.9915371672348144

simplify16.0ms

Iterations
IterNodes
350
250
145
031

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.2s1714×body1280valid
560.0ms1277×body640valid
361.0ms4052×body80valid
186.0ms625×body320valid
88.0ms332×body160valid