Details

Time bar (total: 8.9s)

sample37.0ms

Algorithm
intervals
Results
26.0ms256×body80valid

simplify12.0ms

Counts
1 → 1
Iterations
IterNodes
done15
215
114
07

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

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

rewrite84.0ms

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*
add-exp-log distribute-lft-out--
add-cbrt-cube difference-of-sqr-1
associate-/r/ associate-/l*
add-log-exp
pow1 div-inv
expm1-log1p-u div-exp insert-posit16 log1p-expm1-u
cbrt-undiv clear-num frac-2neg flip3-+ flip3-- flip-+ flip--
+-commutative rec-exp sum-log 1-exp frac-add pow-flip inv-pow
Counts
3 → 136
Calls
3 calls:
10.0ms
(/ x (+ x 1))
52.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
18.0ms
(/ 1 (- x 1))

series156.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ x (+ x 1))
85.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
27.0ms
(/ 1 (- x 1))

simplify1.2s

Counts
145 → 145
Iterations
IterNodes
done2031
32031
21264
1401
0176

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x 1))
0.0b
(+ (log (exp (/ 1 (- x 1)))) (/ x (+ x 1)))
0.0b
(/ 1 (- x 1))
2.7b
(log (exp (/ 1 (- x 1))))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
91×*-un-lft-identity
90×add-sqr-sqrt
75×times-frac
57×log-pow
54×exp-prod
50×add-cube-cbrt
31×fma-def
20×difference-of-squares
11×associate-/r*
10×difference-of-sqr-1 add-exp-log distribute-lft-out--
pow1 add-cbrt-cube associate-/r/
log-prod distribute-lft-out associate-/l*
add-log-exp
expm1-log1p-u insert-posit16 log1p-expm1-u div-inv
associate-+l+ flip3-- div-exp flip--
cbrt-undiv clear-num frac-2neg flip3-+ flip-+
+-commutative rec-exp sum-log 1-exp rem-log-exp pow-flip inv-pow
Counts
4 → 180
Calls
4 calls:
8.0ms
(/ x (+ x 1))
93.0ms
(+ (log (exp (/ 1 (- x 1)))) (/ x (+ x 1)))
12.0ms
(/ 1 (- x 1))
33.0ms
(log (exp (/ 1 (- x 1))))

series163.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ x (+ x 1))
93.0ms
(+ (log (exp (/ 1 (- x 1)))) (/ x (+ x 1)))
20.0ms
(/ 1 (- x 1))
17.0ms
(log (exp (/ 1 (- x 1))))

simplify1.0s

Counts
192 → 192
Iterations
IterNodes
done2001
32001
21123
1439
0231

prune1.7s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (- x 1) x (+ x 1))
0.0b
(* (- x 1) (+ x 1))
15.1b
(/ (fma (- x 1) x (+ x 1)) (* (- x 1) (+ x 1)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×*-un-lft-identity
10×add-cbrt-cube add-exp-log
frac-times associate-/r/
associate-*l* add-cube-cbrt
flip3-+ flip3-- flip-+ flip--
pow1
associate-*r* associate-*l/ associate-*r/
expm1-log1p-u times-frac insert-posit16 log1p-expm1-u associate-/l* add-log-exp
cbrt-undiv div-exp prod-exp cbrt-unprod difference-of-squares
distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in difference-of-sqr-1 pow-prod-down *-commutative fma-udef div-inv distribute-lft-out distribute-lft-out-- unswap-sqr
Counts
3 → 79
Calls
3 calls:
0.0ms
(fma (- x 1) x (+ x 1))
28.0ms
(* (- x 1) (+ x 1))
13.0ms
(/ (fma (- x 1) x (+ x 1)) (* (- x 1) (+ x 1)))

series414.0ms

Counts
3 → 9
Calls
3 calls:
146.0ms
(fma (- x 1) x (+ x 1))
112.0ms
(* (- x 1) (+ x 1))
157.0ms
(/ (fma (- x 1) x (+ x 1)) (* (- x 1) (+ x 1)))

simplify1.2s

Counts
88 → 88
Iterations
IterNodes
done2013
32013
21579
1387
0132

prune622.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done13
113
09

end0.0ms

sample972.0ms

Algorithm
intervals
Results
793.0ms8000×body80valid