Details

Time bar (total: 26.8s)

sample111.0ms

Algorithm
intervals
Results
54.0ms47×body640valid
30.0ms66×body1280valid
11.0ms115×body80valid
5.0ms19×body320valid
2.0ms9×body160valid

simplify181.0ms

Counts
1 → 1
Iterations
IterNodes
17209
16209
15207
14188
13140
12109
1196
1089
969
853
742
632
526
423
322
219
115
07

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.9b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
1284×*-un-lft-identity
984×times-frac
841×add-sqr-sqrt
612×prod-diff
521×add-cube-cbrt
251×distribute-lft-out
158×difference-of-squares
110×associate-/r/
90×distribute-lft-out--
77×difference-of-sqr-1
55×div-inv
37×flip3-+ flip-+
20×flip3-- flip--
18×fma-neg
11×associate-/r*
7×add-cbrt-cube add-exp-log associate-/l*
5×add-log-exp
3×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
2×cbrt-undiv clear-num frac-2neg div-exp associate-/l/
1×sub-neg diff-log frac-sub
Counts
3 → 753
Calls
3 calls:
8.0ms
(/ x (+ x 1))
19.0ms
(/ (+ x 1) (- x 1))
86.0ms
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

series167.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ x (+ x 1))
26.0ms
(/ (+ x 1) (- x 1))
111.0ms
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

simplify1.4s

Counts
762 → 762
Iterations
IterNodes
23087
11351
0584

prune7.9s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ 1 x) x)
0.2b
(fma 3 (/ 1 x) (/ (/ 1 x) x))
0.4b
(/ -3 (* x (* x x)))
5.6b
(- (/ -3 (* x (* x x))) (fma 3 (/ 1 x) (/ (/ 1 x) x)))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
65×add-sqr-sqrt *-un-lft-identity
63×add-cube-cbrt
22×add-exp-log
21×prod-diff
18×add-cbrt-cube
16×associate-/l*
10×div-inv
9×div-exp
7×pow1 fma-neg
6×cbrt-undiv add-log-exp
4×expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u
3×prod-exp cbrt-unprod
2×clear-num frac-2neg fma-udef pow-div
1×rec-exp sub-neg flip3-- diff-log 1-exp pow-flip flip-- associate--r+ distribute-lft-out-- inv-pow difference-of-squares associate-/l/
Counts
4 → 160
Calls
4 calls:
15.0ms
(/ (/ 1 x) x)
0.0ms
(fma 3 (/ 1 x) (/ (/ 1 x) x))
17.0ms
(/ -3 (* x (* x x)))
73.0ms
(- (/ -3 (* x (* x x))) (fma 3 (/ 1 x) (/ (/ 1 x) x)))

series191.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ (/ 1 x) x)
81.0ms
(fma 3 (/ 1 x) (/ (/ 1 x) x))
58.0ms
(/ -3 (* x (* x x)))
33.0ms
(- (/ -3 (* x (* x x))) (fma 3 (/ 1 x) (/ (/ 1 x) x)))

simplify5.2s

Counts
172 → 172
Iterations
IterNodes
35941
21428
1566
0267

prune1.6s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ -1 (* x x)) x)
0.6b
(/ -1 (* x x))
0.6b
(/ -1 (* x x))
5.6b
(fma (/ (/ -1 (* x x)) x) 3 (+ (/ -1 (* x x)) (/ -3 x)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
24×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
23×add-cbrt-cube add-exp-log
13×associate-/l*
9×cbrt-undiv div-exp
7×div-inv
5×associate-/r*
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg prod-exp cbrt-unprod
1×fma-udef associate-/l/
Counts
4 → 110
Calls
4 calls:
17.0ms
(/ (/ -1 (* x x)) x)
6.0ms
(/ -1 (* x x))
12.0ms
(/ -1 (* x x))
1.0ms
(fma (/ (/ -1 (* x x)) x) 3 (+ (/ -1 (* x x)) (/ -3 x)))

series177.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ (/ -1 (* x x)) x)
42.0ms
(/ -1 (* x x))
46.0ms
(/ -1 (* x x))
39.0ms
(fma (/ (/ -1 (* x x)) x) 3 (+ (/ -1 (* x x)) (/ -3 x)))

simplify1.4s

Counts
122 → 122
Iterations
IterNodes
33085
2795
1297
0142

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (expm1 (/ (+ x 1) (- x 1))))
0.0b
(/ (+ x 1) (- x 1))
0.5b
(expm1 (/ (+ x 1) (- x 1)))
2.6b
(- (/ x (+ x 1)) (log1p (expm1 (/ (+ x 1) (- x 1)))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
124×*-un-lft-identity
92×add-sqr-sqrt
77×times-frac
67×add-cube-cbrt
54×prod-diff
20×distribute-lft-out
18×fma-neg
12×difference-of-squares
10×associate-/r/
7×associate-/r* add-log-exp
6×add-cbrt-cube add-exp-log distribute-lft-out--
5×flip3-+ difference-of-sqr-1 flip-+ log1p-expm1-u div-inv
4×expm1-log1p-u pow1 insert-posit16 associate-/l*
2×log1p-udef flip3-- diff-log flip-- associate-/l/
1×cbrt-undiv expm1-log1p clear-num sub-neg frac-2neg div-exp log1p-expm1 expm1-udef
Counts
4 → 173
Calls
4 calls:
0.0ms
(log1p (expm1 (/ (+ x 1) (- x 1))))
24.0ms
(/ (+ x 1) (- x 1))
0.0ms
(expm1 (/ (+ x 1) (- x 1)))
47.0ms
(- (/ x (+ x 1)) (log1p (expm1 (/ (+ x 1) (- x 1)))))

series509.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(log1p (expm1 (/ (+ x 1) (- x 1))))
43.0ms
(/ (+ x 1) (- x 1))
64.0ms
(expm1 (/ (+ x 1) (- x 1)))
233.0ms
(- (/ x (+ x 1)) (log1p (expm1 (/ (+ x 1) (- x 1)))))

simplify2.2s

Counts
185 → 185
Iterations
IterNodes
34058
21350
1549
0257

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes54.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 31.4b

bsearch158.0ms

Steps
ItersRangePoint
9
0.08974485042074802
9369.000823706243
7778.034856755284
8
-15521.296822102611
-0.2777104116290821
-7942.254130124484

simplify8.0ms

Iterations
IterNodes
349
249
144
030

end0.0ms

sample2.5s

Algorithm
intervals
Results
954.0ms1273×body640valid
831.0ms1733×body1280valid
377.0ms4089×body80valid
147.0ms607×body320valid
52.0ms298×body160valid