Details

Time bar (total: 12.0s)

sample20.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done14
114
07

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
87×*-un-lft-identity
63×add-sqr-sqrt
62×times-frac
35×add-cube-cbrt
27×fma-def
14×difference-of-squares
12×distribute-lft-out
11×associate-/r*
9×add-exp-log distribute-lft-out--
7×add-cbrt-cube difference-of-sqr-1
6×associate-/r/ associate-/l*
5×add-log-exp
4×pow1 div-inv
3×expm1-log1p-u div-exp insert-posit16 log1p-expm1-u
2×cbrt-undiv clear-num frac-2neg flip3-+ flip3-- flip-+ flip--
1×+-commutative rec-exp sum-log 1-exp frac-add pow-flip inv-pow
Counts
3 → 136
Calls
3 calls:
15.0ms
(/ x (+ x 1))
9.0ms
(/ 1 (- x 1))
43.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))

series111.0ms

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

simplify1.5s

Counts
145 → 145
Iterations
IterNodes
done5000
21434
1401
0176

prune468.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (+ (/ 1 (- x 1)) (/ x (+ x 1))))
0.0b
(log (exp (+ (/ 1 (- x 1)) (/ x (+ x 1)))))
0.0b
(/ 1 (- x 1))
0.0b
(+ (/ 1 (- x 1)) (/ x (+ x 1)))

rewrite374.0ms

Algorithm
rewrite-expression-head
Rules
120×*-un-lft-identity
66×times-frac
58×add-sqr-sqrt
30×add-cube-cbrt
27×fma-def
24×distribute-lft-out
18×exp-prod
14×difference-of-squares
13×distribute-lft-out--
10×log-pow
9×add-log-exp
8×add-exp-log
7×associate-/r* difference-of-sqr-1
6×pow1 add-cbrt-cube
5×div-inv
4×expm1-log1p-u log-prod associate-/r/ insert-posit16 log1p-expm1-u
3×associate-/l*
2×sum-log flip3-- div-exp exp-sum flip-- rem-exp-log
1×cbrt-undiv +-commutative rec-exp clear-num frac-2neg flip3-+ 1-exp rem-log-exp frac-add flip-+ pow-flip inv-pow
Counts
4 → 147
Calls
4 calls:
131.0ms
(exp (+ (/ 1 (- x 1)) (/ x (+ x 1))))
162.0ms
(log (exp (+ (/ 1 (- x 1)) (/ x (+ x 1)))))
9.0ms
(/ 1 (- x 1))
67.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))

series396.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(exp (+ (/ 1 (- x 1)) (/ x (+ x 1))))
96.0ms
(log (exp (+ (/ 1 (- x 1)) (/ x (+ x 1)))))
25.0ms
(/ 1 (- x 1))
113.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))

simplify2.5s

Counts
159 → 159
Iterations
IterNodes
done5000
33898
21154
1398
0177

prune702.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
0.0b
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
0.0b
(* (* (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1))))) (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1)))))
0.0b
(* (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1)))))

rewrite912.0ms

Algorithm
rewrite-expression-head
Rules
351×*-un-lft-identity
168×cbrt-div
146×times-frac
100×distribute-lft-out
90×frac-times
86×cbrt-prod
70×add-sqr-sqrt
58×flip3-+ frac-add flip-+
54×fma-def
36×add-cube-cbrt
32×distribute-lft-out--
30×pow1 swap-sqr associate-*l/
24×associate-*r*
18×associate-*r/
15×pow1/3
13×associate-*l* div-inv
12×difference-of-squares
11×add-exp-log pow-prod-up
8×add-log-exp
7×pow-plus pow-prod-down
6×difference-of-sqr-1 unswap-sqr
5×add-cbrt-cube pow-sqr
4×expm1-log1p-u prod-exp associate-/r/ cbrt-unprod insert-posit16 log1p-expm1-u
3×pow2
2×+-commutative sum-log flip3-- *-commutative flip--
1×pow3
Counts
4 → 297
Calls
4 calls:
44.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
58.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
499.0ms
(* (* (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1))))) (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1)))))
304.0ms
(* (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1)))))

series599.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
97.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
126.0ms
(* (* (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1))))) (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1)))))
273.0ms
(* (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1)))))

simplify2.0s

Counts
309 → 309
Iterations
IterNodes
done5000
21930
1665
0257

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done13
113
09

end0.0ms

sample908.0ms

Algorithm
intervals
Results
742.0ms8000×body80valid