Details

Time bar (total: 21.0s)

sample162.0ms

Algorithm
intervals
Results
60.0ms45×body1280valid
36.0ms39×body640valid
28.0ms138×body80valid
14.0ms21×body320valid
6.0ms13×body160valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done15
215
112
08

prune34.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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 (sin y) z (* x (cos y)))
10.0ms
(* x (cos y))

series166.0ms

Counts
2 → 6
Calls
2 calls:
115.0ms
(fma (sin y) z (* x (cos y)))
51.0ms
(* x (cos y))

simplify2.1s

Counts
38 → 38
Iterations
IterNodes
done5001
41845
3711
2225
191
052

prune251.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (sin y) z (* x (cos y))))
0.5b
(cbrt (fma (sin y) z (* x (cos y))))
0.5b
(cbrt (fma (sin y) z (* x (cos y))))
0.5b
(* (cbrt (fma (sin y) z (* x (cos y)))) (cbrt (fma (sin y) z (* x (cos y)))))

rewrite23.0ms

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:
1.0ms
(cbrt (fma (sin y) z (* x (cos y))))
1.0ms
(cbrt (fma (sin y) z (* x (cos y))))
2.0ms
(cbrt (fma (sin y) z (* x (cos y))))
17.0ms
(* (cbrt (fma (sin y) z (* x (cos y)))) (cbrt (fma (sin y) z (* x (cos y)))))

series995.0ms

Counts
4 → 12
Calls
4 calls:
248.0ms
(cbrt (fma (sin y) z (* x (cos y))))
254.0ms
(cbrt (fma (sin y) z (* x (cos y))))
230.0ms
(cbrt (fma (sin y) z (* x (cos y))))
263.0ms
(* (cbrt (fma (sin y) z (* x (cos y)))) (cbrt (fma (sin y) z (* x (cos y)))))

simplify2.0s

Counts
97 → 97
Iterations
IterNodes
done5004
32666
2698
1238
0104

prune665.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (sin y) z (* x (cos y)))) (cbrt (fma (sin y) z (* x (cos y)))))
0.5b
(* (* (cbrt (* (cbrt (fma (sin y) z (* x (cos y)))) (cbrt (fma (sin y) z (* x (cos y)))))) (cbrt (cbrt (fma (sin y) z (* x (cos y)))))) (cbrt (fma (sin y) z (* x (cos y)))))
0.6b
(cbrt (cbrt (fma (sin y) z (* x (cos y)))))
0.6b
(cbrt (* (cbrt (fma (sin y) z (* x (cos y)))) (cbrt (fma (sin y) z (* x (cos y))))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
24×add-sqr-sqrt
17×add-cube-cbrt
16×pow1 *-un-lft-identity
12×associate-*r*
11×pow1/3 add-exp-log
7×swap-sqr associate-*l* pow-prod-down
5×add-cbrt-cube
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 98
Calls
4 calls:
9.0ms
(* (cbrt (fma (sin y) z (* x (cos y)))) (cbrt (fma (sin y) z (* x (cos y)))))
60.0ms
(* (* (cbrt (* (cbrt (fma (sin y) z (* x (cos y)))) (cbrt (fma (sin y) z (* x (cos y)))))) (cbrt (cbrt (fma (sin y) z (* x (cos y)))))) (cbrt (fma (sin y) z (* x (cos y)))))
2.0ms
(cbrt (cbrt (fma (sin y) z (* x (cos y)))))
8.0ms
(cbrt (* (cbrt (fma (sin y) z (* x (cos y)))) (cbrt (fma (sin y) z (* x (cos y))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
281.0ms
(* (cbrt (fma (sin y) z (* x (cos y)))) (cbrt (fma (sin y) z (* x (cos y)))))
291.0ms
(* (* (cbrt (* (cbrt (fma (sin y) z (* x (cos y)))) (cbrt (fma (sin y) z (* x (cos y)))))) (cbrt (cbrt (fma (sin y) z (* x (cos y)))))) (cbrt (fma (sin y) z (* x (cos y)))))
251.0ms
(cbrt (cbrt (fma (sin y) z (* x (cos y)))))
286.0ms
(cbrt (* (cbrt (fma (sin y) z (* x (cos y)))) (cbrt (fma (sin y) z (* x (cos y))))))

simplify3.2s

Counts
110 → 110
Iterations
IterNodes
done5000
34933
21340
1394
0168

prune786.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (fma (sin y) z (* x (cos y)))))
0.6b
(cbrt (cbrt (fma (sin y) z (* x (cos y)))))
0.6b
(cbrt (cbrt (fma (sin y) z (* x (cos y)))))
0.6b
(cbrt (* (* (cbrt (cbrt (fma (sin y) z (* x (cos y))))) (cbrt (cbrt (fma (sin y) z (* x (cos y)))))) (* (cbrt (cbrt (fma (sin y) z (* x (cos y))))) (cbrt (fma (sin y) z (* x (cos y)))))))

rewrite56.0ms

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:
1.0ms
(cbrt (cbrt (fma (sin y) z (* x (cos y)))))
1.0ms
(cbrt (cbrt (fma (sin y) z (* x (cos y)))))
1.0ms
(cbrt (cbrt (fma (sin y) z (* x (cos y)))))
51.0ms
(cbrt (* (* (cbrt (cbrt (fma (sin y) z (* x (cos y))))) (cbrt (cbrt (fma (sin y) z (* x (cos y)))))) (* (cbrt (cbrt (fma (sin y) z (* x (cos y))))) (cbrt (fma (sin y) z (* x (cos y)))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
235.0ms
(cbrt (cbrt (fma (sin y) z (* x (cos y)))))
289.0ms
(cbrt (cbrt (fma (sin y) z (* x (cos y)))))
227.0ms
(cbrt (cbrt (fma (sin y) z (* x (cos y)))))
283.0ms
(cbrt (* (* (cbrt (cbrt (fma (sin y) z (* x (cos y))))) (cbrt (cbrt (fma (sin y) z (* x (cos y)))))) (* (cbrt (cbrt (fma (sin y) z (* x (cos y))))) (cbrt (fma (sin y) z (* x (cos y)))))))

simplify1.8s

Counts
75 → 75
Iterations
IterNodes
done5001
32469
2596
1199
099

prune672.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes239.0ms

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

sample5.5s

Algorithm
intervals
Results
2.3s1487×body1280valid
1.6s1246×body640valid
804.0ms4301×body80valid
359.0ms620×body320valid
163.0ms346×body160valid