Details

Time bar (total: 10.5s)

sample25.0ms

Algorithm
intervals
Results
6.0ms58×body640valid
4.0ms137×body80valid
4.0ms45×body320valid
1.0ms16×body160valid

simplify15.0ms

Counts
1 → 1
Iterations
IterNodes
done15
215
112
07

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize25.0ms

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)))

rewrite173.0ms

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:
18.0ms
(/ 1.0 (- x 1.0))
19.0ms
(/ 1.0 (+ x 1.0))
129.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series327.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ 1.0 (- x 1.0))
28.0ms
(/ 1.0 (+ x 1.0))
267.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify1.0s

Counts
111 → 111
Iterations
IterNodes
done5002
21586
1410
0175

prune458.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize24.0ms

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))

rewrite89.0ms

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)))
77.0ms
(- (- x 1.0) (+ x 1.0))

series70.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
8.0ms
(- (- x 1.0) (+ x 1.0))

simplify1.6s

Counts
67 → 67
Iterations
IterNodes
done5001
22326
1419
0151

prune327.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

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)))

rewrite48.0ms

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:
35.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
11.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series146.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
64.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify1.5s

Counts
84 → 84
Iterations
IterNodes
done5000
22702
1480
0158

prune443.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

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))

rewrite162.0ms

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:
107.0ms
(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (- 2.0))
15.0ms
(/ 1.0 (+ x 1.0))
24.0ms
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

series242.0ms

Counts
3 → 9
Calls
3 calls:
103.0ms
(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (- 2.0))
47.0ms
(/ 1.0 (+ x 1.0))
92.0ms
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

simplify1.1s

Counts
298 → 298
Iterations
IterNodes
done5000
11162
0360

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done22
322
219
113
09

end0.0ms

sample1.4s

Algorithm
intervals
Results
743.0ms1965×body640valid
227.0ms1225×body320valid
221.0ms4203×body80valid
47.0ms607×body160valid