Details

Time bar (total: 9.6s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done15
215
114
07

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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)))

rewrite77.0ms

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))
13.0ms
(/ 1 (- x 1))
46.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))

series105.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ x (+ x 1))
15.0ms
(/ 1 (- x 1))
63.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))

simplify1.4s

Counts
145 → 145
Iterations
IterNodes
done5000
21356
1401
0176

prune460.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite338.0ms

Algorithm
rewrite-expression-head
Rules
114×*-un-lft-identity
57×times-frac
43×add-sqr-sqrt
27×add-cube-cbrt distribute-lft-out
18×exp-prod fma-def
10×log-pow distribute-lft-out--
9×add-log-exp
8×add-exp-log difference-of-squares
7×associate-/r*
6×pow1 add-cbrt-cube
5×div-inv
4×expm1-log1p-u log-prod difference-of-sqr-1 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 pow-flip flip-- inv-pow
Counts
4 → 138
Calls
4 calls:
144.0ms
(exp (+ (/ x (+ x 1)) (/ 1 (- x 1))))
147.0ms
(log (exp (+ (/ x (+ x 1)) (/ 1 (- x 1)))))
11.0ms
(/ 1 (- x 1))
32.0ms
(+ (/ x (+ x 1)) (/ 1 (- x 1)))

series277.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(exp (+ (/ x (+ x 1)) (/ 1 (- x 1))))
62.0ms
(log (exp (+ (/ x (+ x 1)) (/ 1 (- x 1)))))
15.0ms
(/ 1 (- x 1))
73.0ms
(+ (/ x (+ x 1)) (/ 1 (- x 1)))

simplify1.9s

Counts
150 → 150
Iterations
IterNodes
done5035
33260
21096
1386
0177

prune410.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

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)))))

rewrite644.0ms

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:
41.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
44.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
303.0ms
(* (* (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1))))) (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1)))))
240.0ms
(* (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1)))))

series484.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
87.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
108.0ms
(* (* (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1))))) (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1)))))
207.0ms
(* (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1)))))

simplify1.7s

Counts
309 → 309
Iterations
IterNodes
done5000
21860
1665
0257

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
09

end0.0ms

sample470.0ms

Algorithm
intervals
Results
382.0ms8000×body80valid