Details

Time bar (total: 22.7s)

sample181.0ms

Algorithm
intervals
Results
78.0ms45×body1280valid
36.0ms39×body640valid
29.0ms138×body80valid
14.0ms20×body320valid
7.0ms14×body160valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done15
215
112
08

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma (cos y) z (* x (sin y)))
0.1b
(* x (sin y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
3×associate-*r* associate-*l*
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 32
Calls
2 calls:
0.0ms
(fma (cos y) z (* x (sin y)))
8.0ms
(* x (sin y))

series189.0ms

Counts
2 → 6
Calls
2 calls:
111.0ms
(fma (cos y) z (* x (sin y)))
78.0ms
(* x (sin y))

simplify2.6s

Counts
38 → 38
Iterations
IterNodes
done5001
43025
31032
2315
1111
058

prune231.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

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)

rewrite20.0ms

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:
17.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
261.0ms
(* (cbrt x) (cbrt x))
281.0ms
(cbrt x)
311.0ms
(cbrt x)
308.0ms
(cbrt x)

simplify3.1s

Counts
97 → 97
Iterations
IterNodes
done5000
44291
31197
2374
1141
067

prune548.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize79.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×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 → 57
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
7.0ms
(cbrt (* (cbrt x) (cbrt x)))
2.0ms
(cbrt (cbrt x))

series1.4s

Counts
4 → 12
Calls
4 calls:
271.0ms
(cbrt x)
284.0ms
(cbrt x)
396.0ms
(cbrt (* (cbrt x) (cbrt x)))
417.0ms
(cbrt (cbrt x))

simplify1.4s

Counts
69 → 69
Iterations
IterNodes
done5000
42101
3823
2292
1121
067

prune485.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize105.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
10×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 → 63
Calls
4 calls:
8.0ms
(cbrt (* (cbrt x) (cbrt x)))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))

series1.6s

Counts
4 → 12
Calls
4 calls:
456.0ms
(cbrt (* (cbrt x) (cbrt x)))
376.0ms
(cbrt (cbrt x))
427.0ms
(cbrt (cbrt x))
357.0ms
(cbrt (cbrt x))

simplify2.9s

Counts
75 → 75
Iterations
IterNodes
done5001
54949
41483
3613
2217
196
056

prune1.1s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.1b

regimes301.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample5.1s

Algorithm
intervals
Results
2.4s1488×body1280valid
1.1s1243×body640valid
743.0ms4303×body80valid
417.0ms623×body320valid
120.0ms343×body160valid