Details

Time bar (total: 10.3s)

sample20.0ms

Algorithm
intervals
Results
13.0ms341×body80valid

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done2000
131989
121738
111529
101276
91121
8805
7394
6210
5172
4132
391
246
119
08

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (fma 0.12 x 0.253))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
2×fma-udef
1×distribute-rgt-in expm1-log1p-u distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
14.0ms
(* x (fma 0.12 x 0.253))

series92.0ms

Counts
1 → 3
Calls
1 calls:
91.0ms
(* x (fma 0.12 x 0.253))

simplify855.0ms

Counts
26 → 26
Iterations
IterNodes
done2008
31021
2239
193
044

prune112.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
8.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.4s

Counts
4 → 12
Calls
4 calls:
605.0ms
(* (cbrt x) (cbrt x))
293.0ms
(cbrt x)
249.0ms
(cbrt x)
297.0ms
(cbrt x)

simplify722.0ms

Counts
97 → 97
Iterations
IterNodes
done2002
31106
2364
1141
067

prune426.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (fma 0.12 x 0.253))) (cbrt (* x (fma 0.12 x 0.253))))
0.6b
(cbrt (* x (fma 0.12 x 0.253)))
0.6b
(cbrt (* x (fma 0.12 x 0.253)))
0.6b
(cbrt (* x (fma 0.12 x 0.253)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 70
Calls
4 calls:
12.0ms
(* (cbrt (* x (fma 0.12 x 0.253))) (cbrt (* x (fma 0.12 x 0.253))))
3.0ms
(cbrt (* x (fma 0.12 x 0.253)))
3.0ms
(cbrt (* x (fma 0.12 x 0.253)))
3.0ms
(cbrt (* x (fma 0.12 x 0.253)))

series818.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(* (cbrt (* x (fma 0.12 x 0.253))) (cbrt (* x (fma 0.12 x 0.253))))
204.0ms
(cbrt (* x (fma 0.12 x 0.253)))
185.0ms
(cbrt (* x (fma 0.12 x 0.253)))
187.0ms
(cbrt (* x (fma 0.12 x 0.253)))

simplify802.0ms

Counts
82 → 82
Iterations
IterNodes
done2004
21227
1447
0166

prune388.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×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 → 59
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))

series1.1s

Counts
4 → 12
Calls
4 calls:
259.0ms
(cbrt x)
252.0ms
(cbrt x)
241.0ms
(cbrt x)
338.0ms
(cbrt (cbrt x))

simplify569.0ms

Counts
71 → 71
Iterations
IterNodes
done2001
4915
3363
2176
183
048

prune389.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample929.0ms

Algorithm
intervals
Results
740.0ms10663×body80valid