Details

Time bar (total: 15.0s)

sample110.0ms

Algorithm
intervals
Results
30.0ms735×body80nan
13.0ms256×body80valid

simplify65.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
067
187
297
done97

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (/ 1.0 x) 1.0)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
3×*-un-lft-identity add-log-exp
2×difference-of-squares
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- times-frac diff-log add-cbrt-cube flip-- distribute-lft-out--
Counts
1 → 15
Calls
1 calls:
37.0ms
(- (/ 1.0 x) 1.0)

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(- (/ 1.0 x) 1.0)

simplify5.8s

Counts
18 → 18
Iterations

Useful iterations: 5 (3.5s)

IterNodesCost
038169
179166
2163150
3400148
41307146
54668144
done5002144

prune56.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (/ 1.0 x) x) 1.0)
0.1b
(/ (/ 1.0 x) x)
31.8b
(/ (* 1.0 (- (/ (/ 1.0 x) x) 1.0)) (+ 1.0 (/ 1.0 x)))

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
82×times-frac
56×add-sqr-sqrt
53×*-un-lft-identity
47×add-cube-cbrt
14×associate-/l*
13×add-exp-log add-cbrt-cube
7×associate-/r*
6×div-inv
5×cbrt-undiv div-exp add-log-exp
3×pow1 associate-/l/ difference-of-squares
2×flip3-- frac-2neg associate-*r/ clear-num associate-/r/ flip-- distribute-lft-out
1×sub-neg flip3-+ diff-log prod-exp cbrt-unprod flip-+ distribute-lft-out--
Counts
3 → 113
Calls
3 calls:
60.0ms
(- (/ (/ 1.0 x) x) 1.0)
27.0ms
(/ (/ 1.0 x) x)
93.0ms
(/ (* 1.0 (- (/ (/ 1.0 x) x) 1.0)) (+ 1.0 (/ 1.0 x)))

series303.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(- (/ (/ 1.0 x) x) 1.0)
46.0ms
(/ (/ 1.0 x) x)
177.0ms
(/ (* 1.0 (- (/ (/ 1.0 x) x) 1.0)) (+ 1.0 (/ 1.0 x)))

simplify1.7s

Counts
122 → 122
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02161692
15151607
214281439
done50001422

prune350.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (- (/ (/ 1.0 x) x) 1.0)) (sqrt (- (/ (/ 1.0 x) x) 1.0)))
31.6b
(sqrt (- (/ (/ 1.0 x) x) 1.0))
31.6b
(sqrt (- (/ (/ 1.0 x) x) 1.0))
31.8b
(/ (* 1.0 (* (sqrt (- (/ (/ 1.0 x) x) 1.0)) (sqrt (- (/ (/ 1.0 x) x) 1.0)))) (+ 1.0 (/ 1.0 x)))

rewrite940.0ms

Algorithm
rewrite-expression-head
Rules
84×add-sqr-sqrt
52×sqrt-prod
38×*-un-lft-identity
28×sqrt-div
22×times-frac
21×pow1
18×difference-of-squares
16×add-cube-cbrt
15×add-exp-log add-cbrt-cube
14×flip3-- swap-sqr flip--
12×associate-*r/
10×sqrt-pow1 pow1/2 associate-*r* associate-*l*
8×frac-times associate-/l/ distribute-lft-out--
5×pow-prod-up
4×associate-*l/ prod-exp associate-/r* cbrt-unprod add-log-exp unswap-sqr
3×cbrt-undiv div-exp pow-prod-down pow-sqr
2×rem-sqrt-square associate-/r/ distribute-lft-out
1×pow2 frac-2neg flip3-+ pow-plus sqrt-unprod clear-num rem-square-sqrt *-commutative flip-+ div-inv associate-/l*
Counts
4 → 144
Calls
4 calls:
420.0ms
(* (sqrt (- (/ (/ 1.0 x) x) 1.0)) (sqrt (- (/ (/ 1.0 x) x) 1.0)))
69.0ms
(sqrt (- (/ (/ 1.0 x) x) 1.0))
96.0ms
(sqrt (- (/ (/ 1.0 x) x) 1.0))
341.0ms
(/ (* 1.0 (* (sqrt (- (/ (/ 1.0 x) x) 1.0)) (sqrt (- (/ (/ 1.0 x) x) 1.0)))) (+ 1.0 (/ 1.0 x)))

series440.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (sqrt (- (/ (/ 1.0 x) x) 1.0)) (sqrt (- (/ (/ 1.0 x) x) 1.0)))
99.0ms
(sqrt (- (/ (/ 1.0 x) x) 1.0))
102.0ms
(sqrt (- (/ (/ 1.0 x) x) 1.0))
179.0ms
(/ (* 1.0 (* (sqrt (- (/ (/ 1.0 x) x) 1.0)) (sqrt (- (/ (/ 1.0 x) x) 1.0)))) (+ 1.0 (/ 1.0 x)))

simplify1.4s

Counts
156 → 156
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02003681
14422564
216372300
done50002232

prune603.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes125.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
done67

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.6s23928×body80nan
548.0ms8000×body80valid