Details

sample103.0ms

Algorithm

intervals

Results

33.0ms	46×	body	1280	valid
28.0ms	45×	body	640	valid
15.0ms	144×	body	80	valid
6.0ms	15×	body	320	valid
1.0ms	6×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma (sin y) z (* x (cos y)))
7.0ms	(* x (cos y))

series224.0ms

Counts

2 → 6

Calls

2 calls:

128.0ms	(fma (sin y) z (* x (cos y)))
96.0ms	(* x (cos y))

simplify5.4s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
4	4857
3	1134
2	275
1	91
0	50

prune262.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

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` `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 → 81

Calls

4 calls:

1.0ms	(cbrt x)
2.0ms	(cbrt x)
1.0ms	(cbrt x)
21.0ms	(* (cbrt x) (cbrt x))

series1.1s

Counts

4 → 12

Calls

4 calls:

297.0ms	(cbrt x)
298.0ms	(cbrt x)
266.0ms	(cbrt x)
279.0ms	(* (cbrt x) (cbrt x))

simplify1.1s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	711
1	142
0	65

prune625.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
0.6b	(cbrt (* x (cos y)))
0.6b	(cbrt (* x (cos y)))
0.6b	(cbrt (* x (cos y)))

rewrite52.0ms

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` `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 → 66

Calls

4 calls:

28.0ms	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
12.0ms	(cbrt (* x (cos y)))
6.0ms	(cbrt (* x (cos y)))
4.0ms	(cbrt (* x (cos y)))

series834.0ms

Counts

4 → 12

Calls

4 calls:

257.0ms	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
184.0ms	(cbrt (* x (cos y)))
166.0ms	(cbrt (* x (cos y)))
226.0ms	(cbrt (* x (cos y)))

simplify504.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
2	819
1	205
0	85

prune647.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (cos y))
0.0b	(fma (sin y) z (* (* x (sqrt (cos y))) (sqrt (cos y))))
0.0b	(* x (sqrt (cos y)))
0.1b	(* (* x (sqrt (cos y))) (sqrt (cos y)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`pow1` `associate-r`
11×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`

Counts

4 → 72

Calls

4 calls:

3.0ms	(sqrt (cos y))
0.0ms	(fma (sin y) z (* (* x (sqrt (cos y))) (sqrt (cos y))))
16.0ms	(* x (sqrt (cos y)))
36.0ms	(* (* x (sqrt (cos y))) (sqrt (cos y)))

series294.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(sqrt (cos y))
125.0ms	(fma (sin y) z (* (* x (sqrt (cos y))) (sqrt (cos y))))
83.0ms	(* x (sqrt (cos y)))
59.0ms	(* (* x (sqrt (cos y))) (sqrt (cos y)))

simplify819.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	955
1	196
0	92

prune437.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.1b

regimes226.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.5s	4233×	body	80	valid
1.4s	1527×	body	1280	valid
848.0ms	1289×	body	640	valid
273.0ms	628×	body	320	valid
73.0ms	323×	body	160	valid