Details

Time bar (total: 5.9s)

sample9.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
167
done67

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) 1.0)
14.8b
(/ x (+ (* x x) 1.0))

rewrite9.0ms

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:
3.0ms
(+ (* x x) 1.0)
6.0ms
(/ x (+ (* x x) 1.0))

series86.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ (* x x) 1.0)
55.0ms
(/ x (+ (* x x) 1.0))

simplify790.0ms

Counts
46 → 46
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
085552
1193530
2504474
31387474
done5000474

prune80.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (sqrt (+ (* x x) 1.0)))
0.0b
(/ 1 (sqrt (+ (* x x) 1.0)))
14.7b
(sqrt (+ (* x x) 1.0))
14.7b
(sqrt (+ (* x x) 1.0))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
36×add-cube-cbrt *-un-lft-identity times-frac
30×sqrt-prod
12×associate-/r*
10×add-exp-log
8×pow1 sqrt-div add-cbrt-cube
6×associate-/l*
4×flip3-+ associate-/r/ flip-+ add-log-exp
3×pow-flip sqrt-pow1 pow1/2 div-exp
2×cbrt-undiv rem-sqrt-square frac-2neg clear-num div-inv
1×rec-exp 1-exp inv-pow
Counts
4 → 118
Calls
4 calls:
6.0ms
(/ x (sqrt (+ (* x x) 1.0)))
7.0ms
(/ 1 (sqrt (+ (* x x) 1.0)))
6.0ms
(sqrt (+ (* x x) 1.0))
4.0ms
(sqrt (+ (* x x) 1.0))

series268.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(/ x (sqrt (+ (* x x) 1.0)))
70.0ms
(/ 1 (sqrt (+ (* x x) 1.0)))
43.0ms
(sqrt (+ (* x x) 1.0))
41.0ms
(sqrt (+ (* x x) 1.0))

simplify1.3s

Counts
130 → 130
Iterations

Useful iterations: 3 (639.0ms)

IterNodesCost
01881855
13881610
29611520
331761506
done50011506

prune248.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) 1.0)
0.1b
(/ 1 (/ (+ (* x x) 1.0) x))
14.8b
(/ (+ (* x x) 1.0) x)

rewrite26.0ms

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:
3.0ms
(+ (* x x) 1.0)
10.0ms
(/ 1 (/ (+ (* x x) 1.0) x))
9.0ms
(/ (+ (* x x) 1.0) x)

series157.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ (* x x) 1.0)
52.0ms
(/ 1 (/ (+ (* x x) 1.0) x))
68.0ms
(/ (+ (* x x) 1.0) x)

simplify1.3s

Counts
125 → 125
Iterations

Useful iterations: 3 (586.0ms)

IterNodesCost
01831930
14311699
29301494
324311476
done50011476

prune150.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

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 pow-flip frac-2neg flip3-+ 1-exp clear-num flip-+ div-inv inv-pow add-log-exp
Counts
1 → 37
Calls
1 calls:
14.0ms
(/ 1 (+ (/ 1.0 x) x))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(/ 1 (+ (/ 1.0 x) x))

simplify1.1s

Counts
40 → 40
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
073485
1164419
2347385
3779385
41988385
done5000385

prune40.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes10.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
done97

end0.0ms

sample221.0ms

Algorithm
intervals
Results
136.0ms8000×body80valid