Details

Time bar (total: 14.9s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
done67

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) 1.0)
12.9b
(/ x (+ (* x x) 1.0))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 40
Calls
2 calls:
17.0ms
(+ (* x x) 1.0)
20.0ms
(/ x (+ (* x x) 1.0))

series166.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(+ (* x x) 1.0)
107.0ms
(/ x (+ (* x x) 1.0))

simplify2.8s

Counts
46 → 46
Iterations

Useful iterations: 2 (148.0ms)

IterNodesCost
085552
1192530
2484474
31039474
42924474
done5000474

prune115.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (* x x))
0.1b
(/ 1 (/ (+ 1.0 (* x x)) x))
12.8b
(/ (+ 1.0 (* x x)) x)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg flip3-+ 1-exp clear-num flip-+ associate-/l/
1×+-commutative pow-flip sum-log associate-/r/ inv-pow
Counts
3 → 116
Calls
3 calls:
10.0ms
(+ 1.0 (* x x))
22.0ms
(/ 1 (/ (+ 1.0 (* x x)) x))
26.0ms
(/ (+ 1.0 (* x x)) x)

series260.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(+ 1.0 (* x x))
97.0ms
(/ 1 (/ (+ 1.0 (* x x)) x))
116.0ms
(/ (+ 1.0 (* x x)) x)

simplify4.6s

Counts
125 → 125
Iterations

Useful iterations: 3 (923.0ms)

IterNodesCost
01831930
14141699
29031498
320021476
448461476
done50001476

prune276.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ 1.0 x) x)
0.1b
(/ 1 (+ (/ 1.0 x) x))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
6×add-exp-log
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-log-exp
3×pow1 associate-/l*
2×flip3-+ div-exp associate-/r/ flip-+
1×cbrt-undiv +-commutative rec-exp pow-flip frac-2neg 1-exp clear-num sum-log div-inv inv-pow
Counts
2 → 49
Calls
2 calls:
16.0ms
(+ (/ 1.0 x) x)
43.0ms
(/ 1 (+ (/ 1.0 x) x))

series146.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(+ (/ 1.0 x) x)
67.0ms
(/ 1 (+ (/ 1.0 x) x))

simplify3.3s

Counts
55 → 55
Iterations

Useful iterations: 3 (371.0ms)

IterNodesCost
083620
1186551
2418501
3988499
43393499
done5000499

prune114.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

2.8b
(/ x (- (pow x 4) (* 1.0 1.0)))
18.9b
(* (/ x (- (pow x 4) (* 1.0 1.0))) (- (* x x) 1.0))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
37×times-frac
24×add-cube-cbrt *-un-lft-identity associate-*l*
22×difference-of-squares
9×add-exp-log add-cbrt-cube
7×unpow-prod-down sqr-pow
6×associate-/r*
4×pow1 flip3-- associate-*r* associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*r/ div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 93
Calls
2 calls:
24.0ms
(/ x (- (pow x 4) (* 1.0 1.0)))
120.0ms
(* (/ x (- (pow x 4) (* 1.0 1.0))) (- (* x x) 1.0))

series300.0ms

Counts
2 → 6
Calls
2 calls:
170.0ms
(/ x (- (pow x 4) (* 1.0 1.0)))
130.0ms
(* (/ x (- (pow x 4) (* 1.0 1.0))) (- (* x x) 1.0))

simplify1.6s

Counts
99 → 99
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01991803
14921731
215621573
done50001369

prune345.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
done97

end0.0ms

sample536.0ms

Algorithm
intervals
Results
310.0ms8000×body80valid