Details

Time bar (total: 6.7s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
073
173
done73

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize4.0ms

Local error

Found 1 expressions with local error:

17.5b
(/ x (+ (* x x) 1.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
15.0ms
(/ x (+ (* x x) 1.0))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ x (+ (* x x) 1.0))

simplify55.0ms

Counts
34 → 34
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0171215
1589196
21979191
35002186
done5002186

prune72.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

1.7b
(/ x (fma (- 1.0) 1.0 (pow x 4)))
22.5b
(* (/ x (fma (- 1.0) 1.0 (pow x 4))) (- (* x x) 1.0))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
19×times-frac
13×associate-*l*
9×add-exp-log add-cbrt-cube
6×prod-diff
5×distribute-rgt-in distribute-lft-in
4×pow1 associate-*r*
3×associate-/r* associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times sub-neg flip3-- associate-*r/ div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative difference-of-squares
Counts
2 → 78
Calls
2 calls:
4.0ms
(/ x (fma (- 1.0) 1.0 (pow x 4)))
41.0ms
(* (/ x (fma (- 1.0) 1.0 (pow x 4))) (- (* x x) 1.0))

series274.0ms

Counts
2 → 6
Calls
2 calls:
162.0ms
(/ x (fma (- 1.0) 1.0 (pow x 4)))
111.0ms
(* (/ x (fma (- 1.0) 1.0 (pow x 4))) (- (* x x) 1.0))

simplify59.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0446816
12125716
25001706
done5001706

prune186.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3))))
0.2b
(/ 1.0 (pow x 5))
0.2b
(/ 1.0 (pow x 3))
22.0b
(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

rewrite657.0ms

Algorithm
rewrite-expression-head
Rules
3607×times-frac
2350×add-sqr-sqrt
2310×*-un-lft-identity
2288×add-cube-cbrt
2000×prod-diff
1212×unpow-prod-down
1002×associate-+r+
466×cube-prod
410×sqr-pow
154×cube-mult unpow3
138×div-inv
25×fma-neg
20×difference-of-squares
19×associate-/r*
14×add-exp-log
13×fma-def
11×add-log-exp
8×add-cbrt-cube distribute-lft-out--
6×div-exp associate-/l*
5×distribute-lft-out
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-add
2×cbrt-undiv pow-to-exp sub-neg flip3-- frac-2neg diff-log pow-exp clear-num sum-log frac-sub flip--
1×+-commutative associate-+r- flip3-+ flip-+
Counts
4 → 2217
Calls
4 calls:
275.0ms
(+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3))))
8.0ms
(/ 1.0 (pow x 5))
7.0ms
(/ 1.0 (pow x 3))
104.0ms
(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

series267.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3))))
52.0ms
(/ 1.0 (pow x 5))
37.0ms
(/ 1.0 (pow x 3))
134.0ms
(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

simplify444.0ms

Counts
2229 → 2229
Iterations

Useful iterations: 1 (48.0ms)

IterNodesCost
0409049967
1500243132
done500243132

prune4.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 24.1b

bsearch43.0ms

Steps
ItersRangePoint
3
892369.0132880388
1122163.5437744518
904431.5607004879
10
-1.8070707071506563e+17
-0.15939393977811658
-542649.7982661554

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03314
13314
done3314

end0.0ms

sample247.0ms

Algorithm
intervals
Results
133.0ms8000×body80valid