Details

Time bar (total: 23.2s)

sample127.0ms

Algorithm
intervals
Results
48.0ms45×body1280valid
26.0ms39×body640valid
22.0ms138×body80valid
9.0ms20×body320valid
6.0ms14×body160valid

simplify11.0ms

Counts
1 → 1
Iterations
IterNodes
done15
215
112
08

prune36.0ms

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)))
9.0ms
(* x (sin y))

series136.0ms

Counts
2 → 6
Calls
2 calls:
92.0ms
(fma (cos y) z (* x (sin y)))
43.0ms
(* x (sin y))

simplify3.1s

Counts
38 → 38
Iterations
IterNodes
done5005
42834
3817
2283
1111
058

prune215.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

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)

rewrite22.0ms

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:
16.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
279.0ms
(* (cbrt x) (cbrt x))
267.0ms
(cbrt x)
239.0ms
(cbrt x)
305.0ms
(cbrt x)

simplify3.7s

Counts
97 → 97
Iterations
IterNodes
done5003
44334
31106
2364
1141
067

prune535.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize74.0ms

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))

rewrite14.0ms

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)
8.0ms
(cbrt (* (cbrt x) (cbrt x)))
2.0ms
(cbrt (cbrt x))

series1.4s

Counts
4 → 12
Calls
4 calls:
276.0ms
(cbrt x)
315.0ms
(cbrt x)
422.0ms
(cbrt (* (cbrt x) (cbrt x)))
375.0ms
(cbrt (cbrt x))

simplify1.4s

Counts
69 → 69
Iterations
IterNodes
done5000
41709
3679
2274
1121
067

prune583.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize111.0ms

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))

rewrite11.0ms

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:
4.0ms
(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:
436.0ms
(cbrt (* (cbrt x) (cbrt x)))
418.0ms
(cbrt (cbrt x))
340.0ms
(cbrt (cbrt x))
382.0ms
(cbrt (cbrt x))

simplify3.0s

Counts
75 → 75
Iterations
IterNodes
done5021
54311
41295
3491
2204
196
056

prune792.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.1b

regimes290.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.0s1488×body1280valid
1.2s4303×body80valid
1.0s1243×body640valid
314.0ms623×body320valid
161.0ms343×body160valid