Details

Time bar (total: 1.3m)

sample26.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify9.0ms

Counts
1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.7b

localize14.0ms

Local error

Found 1 expressions with local error:

15.7b
(/ x (fma x x 1))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
associate-/r* add-cbrt-cube add-exp-log associate-/l*
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:
Slowest
9.0ms
(/ x (fma x x 1))

series95.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
95.0ms
(/ x (fma x x 1))

simplify2.1s

Counts
33 → 33

prune311.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

15.7b
(sqrt (fma x x 1))
15.7b
(sqrt (fma x x 1))
0.0b
(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
0.0b
(/ x (sqrt (fma x x 1)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
160×add-sqr-sqrt
158×*-un-lft-identity add-cube-cbrt
150×sqrt-prod
25×associate-/l*
12×associate-/r*
11×add-cbrt-cube add-exp-log
div-inv
pow1
expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2
associate-/l/
Counts
4 → 252
Calls
4 calls:
Slowest
9.0ms
(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
4.0ms
(/ x (sqrt (fma x x 1)))
1.0ms
(sqrt (fma x x 1))
1.0ms
(sqrt (fma x x 1))

series289.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
95.0ms
(/ x (sqrt (fma x x 1)))
87.0ms
(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
55.0ms
(sqrt (fma x x 1))
52.0ms
(sqrt (fma x x 1))

simplify694.0ms

Counts
264 → 264

prune2.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

18.1b
(- (/ 1 (pow x 5)) (/ (/ (/ 1 x) x) x))
0.1b
(/ (/ 1 x) x)
0.1b
(/ (/ (/ 1 x) x) x)
0.1b
(/ 1 (pow x 5))

rewrite422.0ms

Algorithm
rewrite-expression-head
Rules
11586×times-frac
5993×add-sqr-sqrt
5879×*-un-lft-identity
5847×add-cube-cbrt
3325×prod-diff
1230×unpow-prod-down
490×div-inv
418×sqr-pow
59×associate-/l*
42×difference-of-squares
37×add-exp-log
25×fma-neg
23×div-exp
20×add-cbrt-cube
13×associate-/r*
12×pow1
10×cbrt-undiv
add-log-exp pow-div
rec-exp 1-exp
expm1-log1p-u insert-posit16 log1p-expm1-u
pow-to-exp clear-num frac-2neg pow-exp pow-flip distribute-lft-out-- inv-pow
associate-/l/
sub-neg flip3-- diff-log frac-sub flip--
Counts
4 → 3743
Calls
4 calls:
Slowest
65.0ms
(- (/ 1 (pow x 5)) (/ (/ (/ 1 x) x) x))
14.0ms
(/ (/ (/ 1 x) x) x)
11.0ms
(/ 1 (pow x 5))
7.0ms
(/ (/ 1 x) x)

series337.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
180.0ms
(- (/ 1 (pow x 5)) (/ (/ (/ 1 x) x) x))
63.0ms
(/ 1 (pow x 5))
54.0ms
(/ (/ (/ 1 x) x) x)
39.0ms
(/ (/ 1 x) x)

simplify10.8s

Counts
3755 → 3755

prune58.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes37.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.8b

bsearch65.0ms

end0.0ms

sample654.0ms

Algorithm
intervals
Results
523.0ms8000×body80valid