Details

Time bar (total: 17.3s)

sample23.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
29
19
05

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.8b

localize23.0ms

Local error

Found 1 expressions with local error:

17.8b
(/ x (fma x x 1))

rewrite9.0ms

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*
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
8.0ms
(/ x (fma x x 1))

series86.0ms

Counts
1 → 3
Calls
1 calls:
86.0ms
(/ x (fma x x 1))

simplify2.5s

Counts
33 → 33
Iterations
IterNodes
54471
41506
3553
2260
1116
063

prune261.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (/ 1 x) (* x x))
0.3b
(/ 1 (pow x 5))
14.4b
(- (/ 1 (pow x 5)) (/ (/ 1 x) (* x x)))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
1039×times-frac
552×add-sqr-sqrt
507×*-un-lft-identity
485×add-cube-cbrt
425×prod-diff
182×unpow-prod-down
73×div-inv
66×sqr-pow
34×add-exp-log
28×difference-of-squares
25×fma-neg
18×div-exp
17×pow1 add-cbrt-cube
16×associate-/l*
8×associate-/r* pow-div
7×cbrt-undiv
5×rec-exp 1-exp pow-flip inv-pow add-log-exp
4×prod-exp
3×expm1-log1p-u pow-to-exp pow-exp insert-posit16 log1p-expm1-u
2×pow2 clear-num frac-2neg pow-plus pow-sqr pow-prod-up cbrt-unprod distribute-lft-out--
1×sub-neg flip3-- diff-log frac-sub flip-- associate-/l/
Counts
3 → 613
Calls
3 calls:
21.0ms
(/ (/ 1 x) (* x x))
12.0ms
(/ 1 (pow x 5))
68.0ms
(- (/ 1 (pow x 5)) (/ (/ 1 x) (* x x)))

series238.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ (/ 1 x) (* x x))
57.0ms
(/ 1 (pow x 5))
128.0ms
(- (/ 1 (pow x 5)) (/ (/ 1 x) (* x x)))

simplify1.1s

Counts
622 → 622
Iterations
IterNodes
22831
11569
0711

prune7.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

17.8b
(/ x (fma x x 1))
17.8b
(/ x (fma x x 1))
17.8b
(/ x (fma x x 1))
38.2b
(cbrt (* (* (/ x (fma x x 1)) (/ x (fma x x 1))) (/ x (fma x x 1))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
27×times-frac
10×add-cbrt-cube add-exp-log
9×associate-/r* associate-/l*
7×cbrt-div
5×frac-times associate-*l/
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp associate-*r/ div-inv
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 110
Calls
4 calls:
8.0ms
(/ x (fma x x 1))
8.0ms
(/ x (fma x x 1))
8.0ms
(/ x (fma x x 1))
52.0ms
(cbrt (* (* (/ x (fma x x 1)) (/ x (fma x x 1))) (/ x (fma x x 1))))

series359.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(/ x (fma x x 1))
79.0ms
(/ x (fma x x 1))
76.0ms
(/ x (fma x x 1))
127.0ms
(cbrt (* (* (/ x (fma x x 1)) (/ x (fma x x 1))) (/ x (fma x x 1))))

simplify3.0s

Counts
122 → 122
Iterations
IterNodes
55217
41701
3651
2326
1164
099

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes44.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.0b

bsearch81.0ms

Steps
ItersRangePoint
10
1.6697130628152668
4649870806659.843
402.2628134253315
8
-250055.29886925383
-174.255226838109
-247355.42006732605

simplify3.0ms

Iterations
IterNodes
224
124
018

end0.0ms

sample696.0ms

Algorithm
intervals
Results
550.0ms8000×body80valid