Details

Time bar (total: 18.8s)

sample63.0ms

Algorithm
intervals
Results
24.0ms74×body640valid
10.0ms128×body80valid
9.0ms18×body160valid
8.0ms36×body320valid

simplify13.0ms

Counts
1 → 1
Iterations
IterNodes
done18
218
115
07

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ x 1))
0.0b
(/ 1 (- x 1))
2.6b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
850×*-un-lft-identity
783×times-frac
710×add-sqr-sqrt
486×prod-diff
454×add-cube-cbrt
125×difference-of-squares
98×associate-/r/
94×distribute-lft-out
81×distribute-lft-out--
58×difference-of-sqr-1
52×div-inv
30×flip-+
29×flip3-+
21×flip--
20×flip3--
18×fma-neg
11×associate-/r* add-exp-log
7×add-cbrt-cube
6×associate-/l*
5×pow1 add-log-exp
4×div-exp
3×expm1-log1p-u insert-posit16 log1p-expm1-u
2×cbrt-undiv rec-exp clear-num frac-2neg 1-exp pow-flip inv-pow
1×sub-neg diff-log frac-sub
Counts
3 → 638
Calls
3 calls:
8.0ms
(/ 1 (+ x 1))
9.0ms
(/ 1 (- x 1))
105.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

series139.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ 1 (+ x 1))
23.0ms
(/ 1 (- x 1))
88.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify1.6s

Counts
647 → 647
Iterations
IterNodes
done2001
22001
11290
0553

prune6.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.8b

localize43.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (- (* x x) (* 1 1)))
2.2b
(- (- x 1) (+ x 1))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
70×*-un-lft-identity
51×add-sqr-sqrt
37×prod-diff
29×add-cube-cbrt
15×difference-of-squares
14×add-log-exp
12×times-frac
11×associate--l+ distribute-lft-out--
9×distribute-lft-out
7×fma-neg
6×diff-log add-exp-log
5×difference-of-sqr-1
4×associate-/r* flip3-- add-cbrt-cube frac-sub flip--
3×pow1 associate-/l*
2×expm1-log1p-u sum-log sub-neg flip3-+ div-exp associate-/r/ flip-+ insert-posit16 log1p-expm1-u
1×associate--l- cbrt-undiv rec-exp clear-num frac-2neg 1-exp div-inv pow-flip associate--r+ inv-pow
Counts
2 → 115
Calls
2 calls:
32.0ms
(/ 1 (- (* x x) (* 1 1)))
76.0ms
(- (- x 1) (+ x 1))

series69.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ 1 (- (* x x) (* 1 1)))
11.0ms
(- (- x 1) (+ x 1))

simplify1.0s

Counts
121 → 121
Iterations
IterNodes
done2014
32014
21590
1525
0193

prune990.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.8b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ 1 (- (* x x) (* 1 1))) -2)
0.7b
(/ 1 (- (* x x) (* 1 1)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
26×times-frac
21×*-un-lft-identity
20×add-cube-cbrt
18×associate-*l*
15×add-exp-log
9×add-cbrt-cube
7×difference-of-squares
5×pow1
4×associate-/r* div-exp prod-exp associate-/r/
3×associate-*r* associate-/l* unswap-sqr
2×expm1-log1p-u cbrt-undiv rec-exp flip3-- 1-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative pow-flip inv-pow
Counts
2 → 83
Calls
2 calls:
42.0ms
(* (/ 1 (- (* x x) (* 1 1))) -2)
15.0ms
(/ 1 (- (* x x) (* 1 1)))

series83.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* (/ 1 (- (* x x) (* 1 1))) -2)
40.0ms
(/ 1 (- (* x x) (* 1 1)))

simplify941.0ms

Counts
89 → 89
Iterations
IterNodes
done2001
32001
2930
1362
0143

prune701.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ x 1))
0.0b
(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
0.1b
(/ (/ 1 (+ x 1)) (- x 1))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
449×times-frac
381×*-un-lft-identity
331×add-sqr-sqrt
171×add-cube-cbrt
132×associate-*l*
74×difference-of-squares
49×distribute-lft-out
37×difference-of-sqr-1 distribute-lft-out--
36×associate-/r/
31×add-exp-log
21×associate-/l*
19×add-cbrt-cube
18×div-inv
16×flip3-+ flip-+
14×div-exp
11×associate-/r*
7×cbrt-undiv
6×pow1
5×prod-exp
4×unswap-sqr
3×expm1-log1p-u rec-exp 1-exp associate-*r* cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg flip3-- flip--
1×pow-prod-down associate-*l/ *-commutative pow-flip inv-pow associate-/l/
Counts
3 → 373
Calls
3 calls:
17.0ms
(/ 1 (+ x 1))
62.0ms
(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
43.0ms
(/ (/ 1 (+ x 1)) (- x 1))

series174.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(/ 1 (+ x 1))
74.0ms
(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
82.0ms
(/ (/ 1 (+ x 1)) (- x 1))

simplify1.2s

Counts
382 → 382
Iterations
IterNodes
done2002
22002
11035
0379

prune3.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
08

end0.0ms

sample1.8s

Algorithm
intervals
Results
658.0ms1873×body640valid
431.0ms1305×body320valid
414.0ms4167×body80valid
141.0ms655×body160valid