Details

Time bar (total: 39.3s)

sample24.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done6
16
05

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize51.0ms

Local error

Found 1 expressions with local error:

13.7b
(/ x (+ (* x x) 1.0))

rewrite63.0ms

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:
60.0ms
(/ x (+ (* x x) 1.0))

series112.0ms

Counts
1 → 3
Calls
1 calls:
111.0ms
(/ x (+ (* x x) 1.0))

simplify6.3s

Counts
33 → 33
Iterations
IterNodes
done5272
33188
2709
1184
075

prune299.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize61.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (+ (* x x) 1.0) x))
13.7b
(/ (+ (* x x) 1.0) x)

rewrite87.0ms

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:
33.0ms
(/ 1 (/ (+ (* x x) 1.0) x))
45.0ms
(/ (+ (* x x) 1.0) x)

series215.0ms

Counts
2 → 6
Calls
2 calls:
98.0ms
(/ 1 (/ (+ (* x x) 1.0) x))
117.0ms
(/ (+ (* x x) 1.0) x)

simplify8.1s

Counts
113 → 113
Iterations
IterNodes
done5012
34830
21260
1454
0174

prune760.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 1 expressions with local error:

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

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
5×add-exp-log
4×associate-/r* distribute-lft-out
3×add-cbrt-cube associate-/l*
2×pow1 div-exp associate-/r/
1×cbrt-undiv rec-exp clear-num frac-2neg flip3-+ 1-exp flip-+ insert-posit16 div-inv pow-flip inv-pow add-log-exp
Counts
1 → 38
Calls
1 calls:
61.0ms
(/ 1 (+ x (/ 1.0 x)))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(/ 1 (+ x (/ 1.0 x)))

simplify7.5s

Counts
41 → 41
Iterations
IterNodes
done5000
44563
31288
2484
1167
074

prune215.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize180.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x x) (* x x))
2.4b
(/ x (+ (* 1.0 (* 1.0 1.0)) (* (* x x) (* (* x x) (* x x)))))
11.6b
(+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))
21.8b
(* (/ x (+ (* 1.0 (* 1.0 1.0)) (* (* x x) (* (* x x) (* x x))))) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))

rewrite2.1s

Algorithm
rewrite-expression-head
Rules
117×pow1
36×pow-prod-up
27×add-sqr-sqrt
25×times-frac
24×pow-prod-down
23×add-cbrt-cube add-exp-log
22×*-un-lft-identity pow-sqr add-cube-cbrt
19×associate-*l*
18×pow-plus
14×cube-unmult
13×pow2
10×prod-exp cbrt-unprod
9×add-log-exp
7×sum-cubes
5×flip3-+ flip-+
4×associate-/r* associate-*r* associate-/r/ insert-posit16
3×associate-/l* unswap-sqr
2×frac-times cbrt-undiv associate-+r+ sum-log div-exp associate-*r/ *-commutative div-inv
1×distribute-rgt-in +-commutative clear-num associate-+r- sub-neg frac-2neg distribute-lft-in diff-log swap-sqr associate-*l/
Counts
4 → 158
Calls
4 calls:
79.0ms
(* (* x x) (* x x))
453.0ms
(/ x (+ (* 1.0 (* 1.0 1.0)) (* (* x x) (* (* x x) (* x x)))))
126.0ms
(+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))
1.4s
(* (/ x (+ (* 1.0 (* 1.0 1.0)) (* (* x x) (* (* x x) (* x x))))) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))

series730.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (* x x) (* x x))
384.0ms
(/ x (+ (* 1.0 (* 1.0 1.0)) (* (* x x) (* (* x x) (* x x)))))
89.0ms
(+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))
204.0ms
(* (/ x (+ (* 1.0 (* 1.0 1.0)) (* (* x x) (* (* x x) (* x x))))) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))

simplify10.3s

Counts
170 → 170
Iterations
IterNodes
done5000
24522
1815
0226

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done9
19
06

end0.0ms

sample776.0ms

Algorithm
intervals
Results
578.0ms8000×body80valid