Details

Time bar (total: 14.4s)

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done9
19
05

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize7.0ms

Local error

Found 1 expressions with local error:

12.2b
(/ 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))

series97.0ms

Counts
1 → 3
Calls
1 calls:
97.0ms
(/ x (fma x x 1))

simplify2.5s

Counts
33 → 33
Iterations
IterNodes
done5002
43912
3982
2350
1123
063

prune118.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (sqrt (fma x x 1)))
0.0b
(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
12.1b
(sqrt (fma x x 1))
12.1b
(sqrt (fma x x 1))

rewrite29.0ms

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
9×div-inv
6×pow1
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2
1×associate-/l/
Counts
4 → 252
Calls
4 calls:
8.0ms
(/ x (sqrt (fma x x 1)))
9.0ms
(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
1.0ms
(sqrt (fma x x 1))
1.0ms
(sqrt (fma x x 1))

series314.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(/ x (sqrt (fma x x 1)))
74.0ms
(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
70.0ms
(sqrt (fma x x 1))
62.0ms
(sqrt (fma x x 1))

simplify1.5s

Counts
264 → 264
Iterations
IterNodes
done5000
21511
1660
0289

prune875.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

5.8b
(* (/ x (fabs (cbrt (fma x x 1)))) (/ (/ 1 (sqrt (fma x x 1))) (sqrt (cbrt (fma x x 1)))))
12.1b
(sqrt (fma x x 1))
12.6b
(cbrt (fma x x 1))
12.6b
(cbrt (fma x x 1))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
439×times-frac
321×add-sqr-sqrt
248×sqrt-prod
210×*-un-lft-identity
202×associate-*r*
198×add-cube-cbrt
82×cbrt-prod
39×add-exp-log
32×unswap-sqr
25×add-cbrt-cube
17×div-exp
13×associate-*l*
11×div-inv
10×prod-exp
9×cbrt-undiv
7×pow1
6×cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×rec-exp pow1/3 1-exp
1×frac-times rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 322
Calls
4 calls:
42.0ms
(* (/ x (fabs (cbrt (fma x x 1)))) (/ (/ 1 (sqrt (fma x x 1))) (sqrt (cbrt (fma x x 1)))))
2.0ms
(sqrt (fma x x 1))
1.0ms
(cbrt (fma x x 1))
1.0ms
(cbrt (fma x x 1))

series486.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(* (/ x (fabs (cbrt (fma x x 1)))) (/ (/ 1 (sqrt (fma x x 1))) (sqrt (cbrt (fma x x 1)))))
44.0ms
(sqrt (fma x x 1))
138.0ms
(cbrt (fma x x 1))
116.0ms
(cbrt (fma x x 1))

simplify2.6s

Counts
334 → 334
Iterations
IterNodes
done5001
24779
11831
0529

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

12.6b
(cbrt (fma x x 1))
12.6b
(cbrt (fma x x 1))
12.6b
(cbrt (fma x x 1))
12.6b
(cbrt (fma x x 1))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt (fma x x 1))
1.0ms
(cbrt (fma x x 1))
1.0ms
(cbrt (fma x x 1))
1.0ms
(cbrt (fma x x 1))

series593.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (fma x x 1))
138.0ms
(cbrt (fma x x 1))
146.0ms
(cbrt (fma x x 1))
162.0ms
(cbrt (fma x x 1))

simplify2.6s

Counts
68 → 68
Iterations
IterNodes
done5002
53288
41319
3509
2211
193
046

prune541.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes57.0ms

Accuracy

100% (0.0b remaining)

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

bsearch92.0ms

Steps
ItersRangePoint
9
68.55102067575892
801012902.7811656
353.58163347243044
9
-17438.246738609338
-0.0018335887134067947
-13757.725196327832

simplify5.0ms

Iterations
IterNodes
done32
132
025

end0.0ms

sample419.0ms

Algorithm
intervals
Results
326.0ms8000×body80valid