Details

Time bar (total: 6.9s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify13.0ms

Counts
1 → 1

prune2.0ms

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))

rewrite41.0ms

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:
11.0ms
(+ (* x x) 1.0)
29.0ms
(/ x (+ (* x x) 1.0))

series117.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(+ (* x x) 1.0)
65.0ms
(/ x (+ (* x x) 1.0))

simplify1.3s

Counts
46 → 46

prune125.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite103.0ms

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:
20.0ms
(+ (* x x) 1.0)
33.0ms
(/ 1 (/ (+ (* x x) 1.0) x))
41.0ms
(/ (+ (* x x) 1.0) x)

series280.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(+ (* x x) 1.0)
81.0ms
(/ 1 (/ (+ (* x x) 1.0) x))
136.0ms
(/ (+ (* x x) 1.0) x)

simplify932.0ms

Counts
125 → 125

prune288.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:
11.0ms
(+ x (/ 1.0 x))
27.0ms
(/ 1 (+ x (/ 1.0 x)))

series129.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(+ x (/ 1.0 x))
59.0ms
(/ 1 (+ x (/ 1.0 x)))

simplify1.0s

Counts
55 → 55

prune88.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
26×add-sqr-sqrt
25×times-frac
20×add-cube-cbrt
18×associate-*l*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
4×pow1 associate-*r* associate-/r* associate-/r/
3×associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times sub-neg flip3-- distribute-lft-in flip3-+ associate-*r/ div-exp prod-exp flip-- cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative difference-of-squares
Counts
2 → 79
Calls
2 calls:
24.0ms
(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
150.0ms
(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

series375.0ms

Counts
2 → 6
Calls
2 calls:
193.0ms
(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
182.0ms
(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

simplify918.0ms

Counts
85 → 85

prune307.0ms

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

simplify23.0ms

end0.0ms

sample512.0ms

Algorithm
intervals
Results
325.0ms8000×body80valid