Details

Time bar (total: 9.7s)

sample68.0ms

Algorithm
intervals
Results
21.0ms53×body320valid
18.0ms45×body640valid
14.0ms142×body80valid
3.0ms16×body160valid

simplify31.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.1b

localize13.0ms

Local error

Found 3 expressions with local error:

3.6b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b
(/ 1 (- x 1))
0.0b
(/ 1 (+ x 1))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity
72×add-sqr-sqrt
69×times-frac
32×add-cube-cbrt
27×distribute-lft-out--
17×difference-of-squares
11×associate-/r* add-exp-log
10×distribute-lft-out
7×add-cbrt-cube
6×associate-/r/ div-inv associate-/l*
5×pow1 add-log-exp
4×difference-of-sqr-1 div-exp
3×insert-posit16 flip--
2×cbrt-undiv rec-exp clear-num frac-2neg flip3-- 1-exp flip-+ pow-flip inv-pow
1×sub-neg flip3-+ diff-log frac-sub
Counts
3 → 128
Calls
3 calls:
Slowest
47.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
16.0ms
(/ 1 (- x 1))
10.0ms
(/ 1 (+ x 1))

series112.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
72.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
24.0ms
(/ 1 (+ x 1))
15.0ms
(/ 1 (- x 1))

simplify1.3s

Counts
137 → 137

prune965.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.8b

localize13.0ms

Local error

Found 2 expressions with local error:

3.2b
(+ x (- -2 x))
0.0b
(/ (+ x (- -2 x)) (+ (* x x) -1))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
20×times-frac
13×add-sqr-sqrt add-cube-cbrt
12×distribute-lft-out
7×add-log-exp
6×difference-of-sqr--1 distribute-lft-out--
5×associate-/l*
4×associate-/r* add-cbrt-cube add-exp-log
3×flip3-+ flip-+
2×pow1 associate-+r+ associate-+r- sum-log associate-/r/ insert-posit16 associate-/l/
1×cbrt-undiv +-commutative clear-num sub-neg frac-2neg diff-log div-sub div-exp div-inv
Counts
2 → 65
Calls
2 calls:
Slowest
62.0ms
(/ (+ x (- -2 x)) (+ (* x x) -1))
20.0ms
(+ x (- -2 x))

series50.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
43.0ms
(/ (+ x (- -2 x)) (+ (* x x) -1))
7.0ms
(+ x (- -2 x))

simplify1.0s

Counts
71 → 71

prune530.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
207×*-un-lft-identity
170×add-sqr-sqrt
94×add-cube-cbrt
38×difference-of-squares
28×distribute-lft-out
21×associate-/l*
20×associate-/r/
19×difference-of-sqr-1 distribute-lft-out--
11×associate-/r*
10×div-inv
9×flip3-+ add-cbrt-cube add-exp-log flip-+
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg insert-posit16 add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 203
Calls
2 calls:
Slowest
19.0ms
(/ (/ -2 (+ 1 x)) (- x 1))
15.0ms
(/ -2 (+ 1 x))

series66.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
50.0ms
(/ (/ -2 (+ 1 x)) (- x 1))
17.0ms
(/ -2 (+ 1 x))

simplify735.0ms

Counts
209 → 209

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.8b
(/ -2 (- (* x x) 1))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
18×times-frac
16×add-sqr-sqrt *-un-lft-identity
12×add-cube-cbrt
8×difference-of-squares
6×associate-/r*
4×difference-of-sqr-1
3×add-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-- div-exp insert-posit16 div-inv flip-- add-log-exp
Counts
1 → 42
Calls
1 calls:
Slowest
12.0ms
(/ -2 (- (* x x) 1))

series46.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
46.0ms
(/ -2 (- (* x x) 1))

simplify1.3s

Counts
45 → 45

prune274.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
582.0ms1853×body640valid
384.0ms4178×body80valid
338.0ms1322×body320valid
150.0ms647×body160valid