Details

Time bar (total: 9.6s)

sample34.0ms

Algorithm
intervals
Results
10.0ms62×body640valid
6.0ms46×body320valid
6.0ms129×body80valid
1.0ms19×body160valid

simplify13.0ms

Counts
1 → 1
Iterations
IterNodes
done15
215
112
07

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
0.0b
(/ 1.0 (- x 1.0))
2.9b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
55×times-frac
50×add-sqr-sqrt
30×add-cube-cbrt
25×distribute-lft-out--
10×distribute-lft-out
9×associate-/r*
8×difference-of-squares
7×add-cbrt-cube add-exp-log
6×associate-/r/ associate-/l*
5×add-log-exp
4×div-inv
3×pow1 flip--
2×cbrt-undiv clear-num frac-2neg flip3-- div-exp flip-+
1×sub-neg flip3-+ diff-log frac-sub
Counts
3 → 102
Calls
3 calls:
16.0ms
(/ 1.0 (+ x 1.0))
9.0ms
(/ 1.0 (- x 1.0))
77.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series315.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ 1.0 (+ x 1.0))
47.0ms
(/ 1.0 (- x 1.0))
237.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify921.0ms

Counts
111 → 111
Iterations
IterNodes
done5000
21581
1410
0175

prune355.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.4b
(- (- x 1.0) x)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
13×add-sqr-sqrt
12×times-frac
11×add-cube-cbrt
7×add-log-exp
5×difference-of-squares
4×associate-/r* add-cbrt-cube add-exp-log
3×diff-log associate-/l* distribute-lft-out--
2×pow1 sub-neg flip3-- associate--l+ associate-/r/ flip--
1×associate--l- cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
2 → 52
Calls
2 calls:
21.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
39.0ms
(- (- x 1.0) x)

series87.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
13.0ms
(- (- x 1.0) x)

simplify877.0ms

Counts
58 → 58
Iterations
IterNodes
done5002
21343
1278
0118

prune251.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- (- 1.0) 1.0))
0.1b
(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
27×*-un-lft-identity
25×times-frac
24×add-cube-cbrt
18×associate-*l*
12×associate-*r*
9×add-cbrt-cube add-exp-log
8×difference-of-squares
4×pow1 associate-/r* flip3-- distribute-rgt-out-- associate-/r/ flip-- distribute-lft-out--
3×distribute-lft-neg-in distribute-rgt-neg-in associate-/l*
2×distribute-rgt-in frac-times cbrt-undiv sub-neg distribute-lft-in div-exp prod-exp associate-*r/ cbrt-unprod div-inv add-log-exp unswap-sqr
1×clear-num neg-mul-1 frac-2neg pow-prod-down associate-*l/ *-commutative
Counts
2 → 87
Calls
2 calls:
114.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- (- 1.0) 1.0))
13.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series141.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- (- 1.0) 1.0))
70.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify1.6s

Counts
93 → 93
Iterations
IterNodes
done5000
23194
1503
0168

prune438.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- (- 1.0) 1.0) (+ x 1.0))
0.1b
(/ (/ (- (- 1.0) 1.0) (+ x 1.0)) (- x 1.0))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
660×*-un-lft-identity
606×times-frac
461×add-sqr-sqrt
293×add-cube-cbrt
171×distribute-lft-out--
116×distribute-rgt-out--
87×distribute-lft-neg-in distribute-rgt-neg-in
85×distribute-lft-out
84×difference-of-squares
66×associate-/l*
29×neg-mul-1
16×associate-/r/
9×associate-/r* add-cbrt-cube add-exp-log
8×div-inv
7×flip3-+ flip-+
4×cbrt-undiv div-exp
3×div-sub associate-/l/
2×pow1 clear-num frac-2neg flip3-- flip-- add-log-exp
Counts
2 → 428
Calls
2 calls:
61.0ms
(/ (- (- 1.0) 1.0) (+ x 1.0))
94.0ms
(/ (/ (- (- 1.0) 1.0) (+ x 1.0)) (- x 1.0))

series140.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- (- 1.0) 1.0) (+ x 1.0))
95.0ms
(/ (/ (- (- 1.0) 1.0) (+ x 1.0)) (- x 1.0))

simplify753.0ms

Counts
434 → 434
Iterations
IterNodes
done5000
11285
0465

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done11
111
09

end0.0ms

sample1.6s

Algorithm
intervals
Results
799.0ms1925×body640valid
274.0ms4209×body80valid
224.0ms1263×body320valid
56.0ms603×body160valid