Details

Time bar (total: 11.0s)

sample43.0ms

Algorithm
intervals
Results
12.0ms58×body640valid
8.0ms137×body80valid
7.0ms45×body320valid
2.0ms16×body160valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07202
112202
215202
done15202

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize35.0ms

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)))

rewrite125.0ms

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:
17.0ms
(/ 1.0 (- x 1.0))
16.0ms
(/ 1.0 (+ x 1.0))
84.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series299.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ 1.0 (- x 1.0))
39.0ms
(/ 1.0 (+ x 1.0))
216.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify1.2s

Counts
111 → 111
Iterations

Useful iterations: 2 (479.0ms)

IterNodesCost
017531803
141026800
2158625914
done500225914

prune435.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.2b
(- (- x 1.0) (+ x 1.0))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
14×add-log-exp
13×add-sqr-sqrt
12×times-frac
11×add-cube-cbrt
6×diff-log distribute-lft-out--
5×difference-of-squares
4×associate-/r* flip3-- add-cbrt-cube add-exp-log frac-sub flip--
3×associate-/l*
2×pow1 sum-log sub-neg flip3-+ associate--l+ associate-/r/ flip-+ distribute-lft-out
1×associate--l- cbrt-undiv clear-num frac-2neg div-exp div-inv associate--r+
Counts
2 → 61
Calls
2 calls:
10.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
45.0ms
(- (- x 1.0) (+ x 1.0))

series86.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
11.0ms
(- (- x 1.0) (+ x 1.0))

simplify1.5s

Counts
67 → 67
Iterations

Useful iterations: 2 (583.0ms)

IterNodesCost
015121568
141917762
2232617600
done500117600

prune258.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
25×times-frac
22×*-un-lft-identity add-cube-cbrt
18×associate-*l*
10×associate-*r*
9×add-cbrt-cube add-exp-log
7×difference-of-squares
4×pow1 associate-/r* associate-/r/
3×distribute-lft-neg-in distribute-rgt-neg-in associate-/l*
2×cbrt-undiv flip3-- div-exp prod-exp cbrt-unprod div-inv flip-- add-log-exp unswap-sqr
1×clear-num neg-mul-1 frac-2neg pow-prod-down associate-*l/ *-commutative distribute-rgt-neg-out
Counts
2 → 78
Calls
2 calls:
34.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
16.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series181.0ms

Counts
2 → 6
Calls
2 calls:
99.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
82.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify1.9s

Counts
84 → 84
Iterations

Useful iterations: 2 (807.0ms)

IterNodesCost
015828575
148024773
2270224326
done500024326

prune433.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
327×times-frac
289×*-un-lft-identity
224×add-sqr-sqrt
141×add-cube-cbrt
96×associate-*l*
37×distribute-lft-out distribute-lft-out-- difference-of-squares
28×associate-/r/
21×associate-/l*
19×add-cbrt-cube add-exp-log
14×div-inv
12×flip3-+ flip-+
10×associate-*r*
9×associate-/r*
7×cbrt-undiv div-exp
5×pow1
3×distribute-lft-neg-in distribute-rgt-neg-in prod-exp cbrt-unprod add-log-exp unswap-sqr
2×clear-num frac-2neg flip3-- flip--
1×neg-mul-1 pow-prod-down associate-*l/ *-commutative distribute-rgt-neg-out associate-/l/
Counts
3 → 289
Calls
3 calls:
110.0ms
(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (- 2.0))
17.0ms
(/ 1.0 (+ x 1.0))
50.0ms
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

series241.0ms

Counts
3 → 9
Calls
3 calls:
131.0ms
(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (- 2.0))
29.0ms
(/ 1.0 (+ x 1.0))
81.0ms
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

simplify1.4s

Counts
298 → 298
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0360112836
11162102265
done5000100813

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09243
113243
219243
322243
done22243

end0.0ms

sample1.3s

Algorithm
intervals
Results
600.0ms1965×body640valid
335.0ms4203×body80valid
130.0ms1225×body320valid
65.0ms607×body160valid