Details

Time bar (total: 16.4s)

sample22.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
057
176
done76

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.3b

localize8.0ms

Local error

Found 1 expressions with local error:

17.3b
(/ x (fma x x 1.0))

rewrite12.0ms

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*
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
10.0ms
(/ x (fma x x 1.0))

series131.0ms

Counts
1 → 3
Calls
1 calls:
131.0ms
(/ x (fma x x 1.0))

simplify2.4s

Counts
32 → 32
Iterations

Useful iterations: 2 (113.0ms)

IterNodesCost
068377
1132362
2327332
3764332
42008332
done5000332

prune103.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (fma x x 1.0))
17.0b
(* x (/ 1 (fma x x 1.0)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log
13×associate-*r*
9×add-cbrt-cube
5×pow1
4×div-exp prod-exp
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u rec-exp 1-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 71
Calls
2 calls:
10.0ms
(/ 1 (fma x x 1.0))
20.0ms
(* x (/ 1 (fma x x 1.0)))

series170.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ 1 (fma x x 1.0))
108.0ms
(* x (/ 1 (fma x x 1.0)))

simplify4.5s

Counts
77 → 77
Iterations

Useful iterations: 4 (3.0s)

IterNodesCost
0122880
1271729
2614643
31479642
44344641
done5000641

prune191.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 x) (/ 1.0 (pow x 3)))
0.0b
(/ 1.0 (pow x 5))
0.2b
(/ 1.0 (pow x 3))
17.3b
(+ (- (/ 1 x) (/ 1.0 (pow x 3))) (/ 1.0 (pow x 5)))

rewrite903.0ms

Algorithm
rewrite-expression-head
Rules
1773×times-frac
1273×add-sqr-sqrt
1222×*-un-lft-identity
1185×add-cube-cbrt
1040×prod-diff
522×associate-+l+
264×unpow-prod-down
252×cube-prod
112×div-inv
92×sqr-pow
82×cube-mult unpow3
30×difference-of-squares
21×fma-def
19×associate-/r*
14×add-exp-log
13×fma-neg
11×add-log-exp
9×distribute-lft-out--
8×add-cbrt-cube
6×div-exp associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u distribute-lft-out
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-+l- flip3-+ flip-+
Counts
4 → 1245
Calls
4 calls:
107.0ms
(- (/ 1 x) (/ 1.0 (pow x 3)))
16.0ms
(/ 1.0 (pow x 5))
9.0ms
(/ 1.0 (pow x 3))
558.0ms
(+ (- (/ 1 x) (/ 1.0 (pow x 3))) (/ 1.0 (pow x 5)))

series341.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(- (/ 1 x) (/ 1.0 (pow x 3)))
85.0ms
(/ 1.0 (pow x 5))
72.0ms
(/ 1.0 (pow x 3))
59.0ms
(+ (- (/ 1 x) (/ 1.0 (pow x 3))) (/ 1.0 (pow x 5)))

simplify3.1s

Counts
1257 → 1257
Iterations

Useful iterations: done (3.0s)

IterNodesCost
079751194
1167840828
2355325274
done500124869

prune3.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.6b

bsearch118.0ms

Steps
ItersRangePoint
9
0.0033303272193615503
311302.39110615524
568.3518365384376
9
-4551155589554.198
-15029321.238022974
-3416824020916.5903

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02146
12832
done2832

end0.0ms

sample583.0ms

Algorithm
intervals
Results
361.0ms8000×body80valid