Details

Time bar (total: 20.2s)

sample20.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done7
17
05

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize10.0ms

Local error

Found 1 expressions with local error:

13.3b
(/ x (fma x x 1.0))

rewrite13.0ms

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:
11.0ms
(/ x (fma x x 1.0))

series201.0ms

Counts
1 → 3
Calls
1 calls:
201.0ms
(/ x (fma x x 1.0))

simplify2.6s

Counts
32 → 32
Iterations
IterNodes
done5000
31319
2444
1140
068

prune237.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (* x x))
0.4b
(/ 1.0 (pow x 5))
0.4b
(/ 1.0 (* x (* x x)))
17.5b
(- (/ 1.0 (* x (* x x))) (/ 1.0 (pow x 5)))

rewrite280.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
184×add-sqr-sqrt
175×*-un-lft-identity prod-diff
173×add-cube-cbrt
76×unpow-prod-down
37×div-inv
26×sqr-pow
23×add-exp-log
20×add-cbrt-cube
18×pow1
8×associate-/r*
7×fma-neg
6×div-exp prod-exp cbrt-unprod associate-/l* add-log-exp
5×pow-prod-up
4×cbrt-undiv expm1-log1p-u log1p-expm1-u difference-of-squares
3×associate-*l* pow-prod-down
2×frac-2neg clear-num distribute-lft-out--
1×pow2 pow-to-exp sub-neg flip3-- pow-plus cube-unmult diff-log associate-*r* pow-exp pow-sqr *-commutative frac-sub flip-- unswap-sqr
Counts
4 → 301
Calls
4 calls:
37.0ms
(* x (* x x))
15.0ms
(/ 1.0 (pow x 5))
29.0ms
(/ 1.0 (* x (* x x)))
161.0ms
(- (/ 1.0 (* x (* x x))) (/ 1.0 (pow x 5)))

series534.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(* x (* x x))
108.0ms
(/ 1.0 (pow x 5))
79.0ms
(/ 1.0 (* x (* x x)))
257.0ms
(- (/ 1.0 (* x (* x x))) (/ 1.0 (pow x 5)))

simplify4.3s

Counts
313 → 313
Iterations
IterNodes
done5000
23483
11097
0454

prune2.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (pow x 5) x)
0.1b
(* x (* x x))
20.6b
(- (+ (pow x 5) x) (* x (* x x)))

rewrite263.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1
14×*-un-lft-identity
10×add-log-exp
9×add-sqr-sqrt
8×add-exp-log add-cube-cbrt add-cbrt-cube
7×fma-def
5×pow-prod-up
4×fma-neg prod-diff
3×expm1-log1p-u unpow-prod-down associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out
2×diff-log sum-log
1×+-commutative pow2 sub-neg flip3-- flip3-+ pow-plus cube-unmult associate-*r* associate--l+ pow-sqr *-commutative flip-- flip-+ unswap-sqr sqr-pow
Counts
3 → 71
Calls
3 calls:
42.0ms
(+ (pow x 5) x)
34.0ms
(* x (* x x))
184.0ms
(- (+ (pow x 5) x) (* x (* x x)))

series371.0ms

Counts
3 → 9
Calls
3 calls:
216.0ms
(+ (pow x 5) x)
72.0ms
(* x (* x x))
82.0ms
(- (+ (pow x 5) x) (* x (* x x)))

simplify4.5s

Counts
80 → 80
Iterations
IterNodes
done5000
33278
2727
1214
090

prune469.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

2.6b
(/ (sqrt x) (fma x x 1.0))
4.4b
(* (sqrt x) (/ (sqrt x) (fma x x 1.0)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
40×times-frac
32×add-cube-cbrt *-un-lft-identity
29×sqrt-prod
22×associate-*r*
9×add-exp-log add-cbrt-cube
6×associate-*l* associate-/l* unswap-sqr
4×pow1
3×associate-/r*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 91
Calls
2 calls:
15.0ms
(/ (sqrt x) (fma x x 1.0))
49.0ms
(* (sqrt x) (/ (sqrt x) (fma x x 1.0)))

series244.0ms

Counts
2 → 6
Calls
2 calls:
126.0ms
(/ (sqrt x) (fma x x 1.0))
117.0ms
(* (sqrt x) (/ (sqrt x) (fma x x 1.0)))

simplify2.5s

Counts
97 → 97
Iterations
IterNodes
done5000
21172
1361
0144

prune522.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes84.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.9b

bsearch88.0ms

Steps
ItersRangePoint
6
263824.51516633737
1180206.5730270573
268164.4771045438
9
-6.004472807478775e+52
-4.610656989046551e+47
-2.182351251673565e+51

simplify8.0ms

Iterations
IterNodes
done26
126
020

end0.0ms

sample635.0ms

Algorithm
intervals
Results
459.0ms8000×body80valid