Details

Time bar (total: 15.4s)

sample17.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done9
19
05

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize7.0ms

Local error

Found 1 expressions with local error:

14.3b
(/ x (fma x x 1))

rewrite6.0ms

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:
5.0ms
(/ 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
done5002
43912
3982
2350
1123
063

prune166.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ 1 (sqrt (fma x x 1))) (/ x (sqrt (fma x x 1))))
0.0b
(/ x (sqrt (fma x x 1)))
14.3b
(sqrt (fma x x 1))
14.3b
(sqrt (fma x x 1))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
28×add-exp-log
22×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
9×div-exp
8×pow1 prod-exp
6×associate-/r*
5×cbrt-undiv
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×div-inv associate-/l*
2×rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 160
Calls
4 calls:
46.0ms
(* (/ 1 (sqrt (fma x x 1))) (/ x (sqrt (fma x x 1))))
10.0ms
(/ x (sqrt (fma x x 1)))
2.0ms
(sqrt (fma x x 1))
2.0ms
(sqrt (fma x x 1))

series339.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* (/ 1 (sqrt (fma x x 1))) (/ x (sqrt (fma x x 1))))
129.0ms
(/ x (sqrt (fma x x 1)))
63.0ms
(sqrt (fma x x 1))
58.0ms
(sqrt (fma x x 1))

simplify2.5s

Counts
172 → 172
Iterations
IterNodes
done5001
33453
21523
1556
0199

prune631.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

14.3b
(sqrt (fma x x 1))
14.3b
(sqrt (fma x x 1))
14.3b
(sqrt (fma x x 1))
14.3b
(sqrt (fma x x 1))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt sqrt-prod
8×pow1 *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u rem-sqrt-square sqrt-pow1 add-cbrt-cube pow1/2 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 64
Calls
4 calls:
1.0ms
(sqrt (fma x x 1))
1.0ms
(sqrt (fma x x 1))
1.0ms
(sqrt (fma x x 1))
2.0ms
(sqrt (fma x x 1))

series269.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(sqrt (fma x x 1))
67.0ms
(sqrt (fma x x 1))
57.0ms
(sqrt (fma x x 1))
65.0ms
(sqrt (fma x x 1))

simplify2.5s

Counts
76 → 76
Iterations
IterNodes
done5001
41745
3585
2213
182
039

prune521.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize41.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (/ 1 x) (* x x))
0.2b
(/ 1 (pow x 5))
19.0b
(- (/ 1 (pow x 5)) (/ (/ 1 x) (* x x)))

rewrite231.0ms

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:
28.0ms
(/ (/ 1 x) (* x x))
16.0ms
(/ 1 (pow x 5))
112.0ms
(- (/ 1 (pow x 5)) (/ (/ 1 x) (* x x)))

series264.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(/ (/ 1 x) (* x x))
68.0ms
(/ 1 (pow x 5))
133.0ms
(- (/ 1 (pow x 5)) (/ (/ 1 x) (* x x)))

simplify2.5s

Counts
622 → 622
Iterations
IterNodes
done5001
22952
11590
0711

prune2.1s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes57.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.5b

bsearch81.0ms

Steps
ItersRangePoint
8
29.100869698027953
73049.03827748532
429.9995223081375
6
-8.387157242043076e+38
-1.348344988670491e+38
-7.683354923764348e+38

simplify7.0ms

Iterations
IterNodes
done24
124
018

end0.0ms

sample427.0ms

Algorithm
intervals
Results
335.0ms8000×body80valid