Details

Time bar (total: 9.2s)

sample33.0ms

Algorithm
intervals
Results
23.0ms256×body80valid

simplify28.0ms

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

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:
Slowest
48.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
9.0ms
(/ 1 (- x 1))
8.0ms
(/ x (+ x 1))

series150.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
86.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
42.0ms
(/ x (+ x 1))
22.0ms
(/ 1 (- x 1))

simplify1.2s

Counts
145 → 145

prune948.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
85×*-un-lft-identity
74×add-sqr-sqrt
66×times-frac
46×add-cube-cbrt
27×fma-def
21×log-pow
18×exp-prod
14×difference-of-squares
11×associate-/r* distribute-lft-out
10×add-exp-log
8×pow1 add-cbrt-cube associate-/r/
7×difference-of-sqr-1 distribute-lft-out--
6×log-prod div-inv associate-/l*
5×add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-+r+ flip3-+ div-exp flip-+
2×cbrt-undiv clear-num frac-2neg flip3-- flip--
1×+-commutative rec-exp sum-log 1-exp rem-log-exp pow-flip inv-pow
Counts
4 → 169
Calls
4 calls:
Slowest
64.0ms
(+ (/ 1 (- x 1)) (log (exp (/ x (+ x 1)))))
17.0ms
(log (exp (/ x (+ x 1))))
16.0ms
(/ 1 (- x 1))
8.0ms
(/ x (+ x 1))

series152.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
80.0ms
(+ (/ 1 (- x 1)) (log (exp (/ x (+ x 1)))))
34.0ms
(log (exp (/ x (+ x 1))))
24.0ms
(/ x (+ x 1))
15.0ms
(/ 1 (- x 1))

simplify952.0ms

Counts
181 → 181

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite336.0ms

Algorithm
rewrite-expression-head
Rules
287×*-un-lft-identity
116×times-frac
88×distribute-lft-out
37×add-sqr-sqrt
35×add-cube-cbrt
27×swap-sqr
20×distribute-lft-out--
12×associate-/r* add-cbrt-cube add-exp-log
11×pow1 flip3-+ flip-+ div-inv
9×frac-times associate-*r* associate-*l* associate-/l*
8×frac-add
6×associate-/r/
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp associate-*l/ associate-*r/
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
4 → 189
Calls
4 calls:
Slowest
306.0ms
(* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1))))
10.0ms
(/ x (+ x 1))
8.0ms
(/ x (+ x 1))
8.0ms
(/ x (+ x 1))

series186.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
100.0ms
(* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1))))
31.0ms
(/ x (+ x 1))
30.0ms
(/ x (+ x 1))
25.0ms
(/ x (+ x 1))

simplify673.0ms

Counts
201 → 201

prune1.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample827.0ms

Algorithm
intervals
Results
714.0ms8000×body80valid