Details

Time bar (total: 6.8s)

sample21.0ms

Algorithm
intervals
Results
6.0ms74×body640valid
5.0ms45×body320valid
3.0ms123×body80valid
1.0ms14×body160valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0711
11211
21511
done1511

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.8b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
0.0b
(/ 1.0 (- x 1.0))
1.3b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite65.0ms

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-exp-log add-cbrt-cube
6×associate-/r/ associate-/l*
5×add-log-exp
4×div-inv
3×pow1 flip--
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-+
1×sub-neg flip3-+ diff-log frac-sub
Counts
3 → 102
Calls
3 calls:
5.0ms
(/ 1.0 (+ x 1.0))
7.0ms
(/ 1.0 (- x 1.0))
48.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series238.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ 1.0 (+ x 1.0))
29.0ms
(/ 1.0 (- x 1.0))
180.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify1.5s

Counts
111 → 111
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01751402
13881325
29521257
324371255
done50001254

prune202.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
1.2b
(- (- x 1.0) (+ x 1.0))

rewrite34.0ms

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×add-exp-log flip3-- associate-/r* frac-sub add-cbrt-cube flip--
3×associate-/l*
2×pow1 sub-neg flip3-+ associate--l+ sum-log associate-/r/ flip-+ distribute-lft-out
1×cbrt-undiv associate--l- frac-2neg div-exp clear-num div-inv associate--r+
Counts
2 → 61
Calls
2 calls:
5.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
26.0ms
(- (- x 1.0) (+ x 1.0))

series58.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
8.0ms
(- (- x 1.0) (+ x 1.0))

simplify618.0ms

Counts
67 → 67
Iterations

Useful iterations: done (615.0ms)

IterNodesCost
01511007
1384956
21427888
done5000880

prune133.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
25×times-frac
22×add-cube-cbrt *-un-lft-identity
18×associate-*l*
10×associate-*r*
9×add-exp-log add-cbrt-cube
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 flip-- cbrt-unprod div-inv add-log-exp unswap-sqr
1×neg-mul-1 frac-2neg pow-prod-down associate-*l/ clear-num *-commutative distribute-rgt-neg-out
Counts
2 → 78
Calls
2 calls:
20.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
5.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series107.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
51.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify844.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (271.0ms)

IterNodesCost
01581309
14381262
214661134
done50011134

prune173.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite98.0ms

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-exp-log add-cbrt-cube
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×flip3-- frac-2neg clear-num flip--
1×neg-mul-1 pow-prod-down associate-*l/ *-commutative distribute-rgt-neg-out associate-/l/
Counts
3 → 289
Calls
3 calls:
5.0ms
(/ 1.0 (+ x 1.0))
58.0ms
(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (- 2.0))
16.0ms
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

series166.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ 1.0 (+ x 1.0))
71.0ms
(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (- 2.0))
70.0ms
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

simplify1.4s

Counts
298 → 298
Iterations

Useful iterations: 2 (806.0ms)

IterNodesCost
03604896
110984647
234304445
done50014445

prune568.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11312
21612
31912
42112
done2112

end0.0ms

sample453.0ms

Algorithm
intervals
Results
162.0ms1943×body640valid
99.0ms4203×body80valid
78.0ms1275×body320valid
24.0ms579×body160valid