Details

Time bar (total: 7.7s)

sample17.0ms

Algorithm
intervals
Results
5.0ms64×body640valid
3.0ms137×body80valid
2.0ms37×body320valid
1.0ms18×body160valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0711
11211
21511
done1511

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(/ 1.0 (+ x 1.0))
2.6b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
662×*-un-lft-identity
589×times-frac
496×add-sqr-sqrt
378×prod-diff
368×add-cube-cbrt
86×associate-/r/
79×distribute-lft-out--
76×distribute-lft-out
62×difference-of-squares
44×div-inv
24×flip-+
23×flip3-+
21×flip--
20×flip3--
18×fma-neg
9×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×add-log-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub
Counts
3 → 504
Calls
3 calls:
5.0ms
(/ 1.0 (- x 1.0))
5.0ms
(/ 1.0 (+ x 1.0))
64.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series230.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ 1.0 (- x 1.0))
25.0ms
(/ 1.0 (+ x 1.0))
177.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify1.4s

Counts
513 → 513
Iterations

Useful iterations: done (1.4s)

IterNodesCost
052524322
1119821760
2352016240
done500016186

prune643.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
1.7b
(- (- x 1.0) (+ x 1.0))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
39×add-sqr-sqrt
29×prod-diff
27×add-cube-cbrt
14×add-log-exp
12×times-frac
11×associate--l+ distribute-lft-out--
10×difference-of-squares
7×distribute-lft-out
6×diff-log
5×fma-neg
4×add-exp-log flip3-- associate-/r* frac-sub add-cbrt-cube flip--
3×associate-/l*
2×pow1 expm1-log1p-u sub-neg flip3-+ sum-log associate-/r/ flip-+ log1p-expm1-u
1×cbrt-undiv associate--l- frac-2neg div-exp clear-num div-inv associate--r+
Counts
2 → 99
Calls
2 calls:
5.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
29.0ms
(- (- x 1.0) (+ x 1.0))

series58.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
7.0ms
(- (- x 1.0) (+ x 1.0))

simplify1.0s

Counts
105 → 105
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01961915
15151569
226971321
done50001312

prune184.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
0.4b
(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite27.0ms

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 expm1-log1p-u flip3-- div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u 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 → 82
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)))

series106.0ms

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)))

simplify615.0ms

Counts
88 → 88
Iterations

Useful iterations: 2 (130.0ms)

IterNodesCost
01621355
14611307
218821177
done50011177

prune175.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

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))

rewrite123.0ms

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 expm1-log1p-u distribute-rgt-neg-in prod-exp cbrt-unprod log1p-expm1-u 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 → 295
Calls
3 calls:
79.0ms
(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (- 2.0))
8.0ms
(/ 1.0 (+ x 1.0))
15.0ms
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

series166.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (- 2.0))
31.0ms
(/ 1.0 (+ x 1.0))
64.0ms
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

simplify1.7s

Counts
304 → 304
Iterations

Useful iterations: 2 (427.0ms)

IterNodesCost
03664954
111334685
248544490
done50004490

prune545.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes14.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11312
21812
32112
done2112

end0.0ms

sample425.0ms

Algorithm
intervals
Results
144.0ms1834×body640valid
94.0ms4210×body80valid
74.0ms1291×body320valid
26.0ms665×body160valid