Details

Time bar (total: 19.2s)

sample16.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
26
16
05

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize8.0ms

Local error

Found 1 expressions with local error:

16.2b
(/ x (+ (* x x) 1))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ insert-posit16 div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
15.0ms
(/ x (+ (* x x) 1))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(/ x (+ (* x x) 1))

simplify1.0s

Counts
33 → 33
Iterations
IterNodes
42810
3858
2333
1147
069

prune201.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (+ (* x x) 1) x))
16.2b
(/ (+ (* x x) 1) x)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×rec-exp clear-num frac-2neg 1-exp insert-posit16 add-log-exp associate-/l/
1×flip3-+ associate-/r/ flip-+ pow-flip inv-pow
Counts
2 → 107
Calls
2 calls:
12.0ms
(/ 1 (/ (+ (* x x) 1) x))
22.0ms
(/ (+ (* x x) 1) x)

series159.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ 1 (/ (+ (* x x) 1) x))
102.0ms
(/ (+ (* x x) 1) x)

simplify5.3s

Counts
113 → 113
Iterations
IterNodes
32355
2932
1415
0166

prune689.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
15×times-frac
12×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
6×add-exp-log div-inv
5×associate-/r*
4×add-cbrt-cube add-log-exp
3×pow1 associate-/l*
2×flip3-+ div-exp associate-/r/ flip-+ insert-posit16
1×cbrt-undiv +-commutative rec-exp clear-num sum-log frac-2neg 1-exp pow-flip inv-pow
Counts
2 → 56
Calls
2 calls:
6.0ms
(+ x (/ 1 x))
12.0ms
(/ 1 (+ x (/ 1 x)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(+ x (/ 1 x))
34.0ms
(/ 1 (+ x (/ 1 x)))

simplify4.4s

Counts
62 → 62
Iterations
IterNodes
42367
31013
2420
1164
076

prune318.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* x x) (* x x))
2.7b
(/ x (+ -1 (* (* x x) (* x x))))
21.2b
(* (/ x (+ -1 (* (* x x) (* x x)))) (- (* x x) 1))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
116×pow1
36×pow-prod-up
25×add-sqr-sqrt
24×pow-prod-down
22×add-cbrt-cube add-exp-log pow-sqr
20×*-un-lft-identity
19×times-frac add-cube-cbrt
18×pow-plus
16×associate-*l*
13×pow2
10×prod-exp cbrt-unprod
7×associate-*r*
4×associate-/r/
3×associate-/r* insert-posit16 associate-/l* add-log-exp unswap-sqr
2×distribute-rgt-in frac-times cbrt-undiv sub-neg distribute-lft-in flip3-+ flip3-- div-exp associate-*r/ *-commutative flip-+ div-inv flip-- difference-of-squares
1×clear-num frac-2neg difference-of-sqr-1 swap-sqr associate-*l/
Counts
3 → 140
Calls
3 calls:
46.0ms
(* (* x x) (* x x))
13.0ms
(/ x (+ -1 (* (* x x) (* x x))))
53.0ms
(* (/ x (+ -1 (* (* x x) (* x x)))) (- (* x x) 1))

series274.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(* (* x x) (* x x))
120.0ms
(/ x (+ -1 (* (* x x) (* x x))))
94.0ms
(* (/ x (+ -1 (* (* x x) (* x x)))) (- (* x x) 1))

simplify4.7s

Counts
149 → 149
Iterations
IterNodes
36123
21470
1492
0189

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
26
16
05

end0.0ms

sample660.0ms

Algorithm
intervals
Results
549.0ms8000×body80valid