Details

Time bar (total: 12.0s)

sample22.0ms

Algorithm
intervals
Results
5.0ms47×body640valid
4.0ms56×body320valid
4.0ms139×body80valid
1.0ms14×body160valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11211
21511
done1511

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
0.0b
(/ 1.0 (- x 1.0))
2.8b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite220.0ms

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:
11.0ms
(/ 1.0 (+ x 1.0))
11.0ms
(/ 1.0 (- x 1.0))
117.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series288.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 1.0 (+ x 1.0))
35.0ms
(/ 1.0 (- x 1.0))
217.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify2.3s

Counts
513 → 513
Iterations

Useful iterations: done (2.3s)

IterNodesCost
052524322
1119421760
2265616242
done500012452

prune585.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

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))

rewrite88.0ms

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:
13.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
71.0ms
(- (- x 1.0) (+ x 1.0))

series63.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
8.0ms
(- (- x 1.0) (+ x 1.0))

simplify1.6s

Counts
105 → 105
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01961915
14921565
218691321
done50001113

prune199.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

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)))

rewrite62.0ms

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:
46.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
13.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series109.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
51.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify1.4s

Counts
88 → 88
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01621355
14531298
214681177
done50001135

prune221.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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))

rewrite238.0ms

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:
15.0ms
(/ 1.0 (+ x 1.0))
155.0ms
(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (- 2.0))
47.0ms
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

series256.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ 1.0 (+ x 1.0))
115.0ms
(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (- 2.0))
101.0ms
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

simplify2.1s

Counts
304 → 304
Iterations

Useful iterations: done (2.1s)

IterNodesCost
03664954
111144684
233854490
done50014486

prune900.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11312
21912
32212
done2212

end0.0ms

sample1.3s

Algorithm
intervals
Results
633.0ms1890×body640valid
196.0ms4151×body80valid
135.0ms1309×body320valid
108.0ms650×body160valid