Details

sample88.0ms

Algorithm

intervals

Results

26.0ms	128×	body	80	valid
25.0ms	48×	body	1280	valid
14.0ms	46×	body	640	valid
6.0ms	26×	body	320	valid
1.0ms	8×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	8

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

13.0ms	(* z (cos y))
14.0ms	(* x (sin y))

series471.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* z (cos y))
423.0ms	(* x (sin y))

simplify2.3s

Counts

46 → 46

Iterations

Iter	Nodes
done	5000
3	1476
2	383
1	130
0	65

prune348.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite19.0ms

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:

11.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
4.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series673.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
148.0ms	(cbrt (cos y))
134.0ms	(cbrt (cos y))
163.0ms	(cbrt (cos y))

simplify1.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	640
1	152
0	68

prune616.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (sin y))
0.2b	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
0.3b	(* (cos y) (cos y))
0.3b	(cbrt (cos y))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
17×	`add-sqr-sqrt`
15×	`pow1`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`add-cbrt-cube` `associate-r` `prod-exp`
7×	`associate-l` `cbrt-unprod`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`swap-sqr` `pow-prod-down` `*-commutative`
2×	`pow-exp` `unswap-sqr`
1×	`pow2` `pow-to-exp` `sqr-cos` `pow-plus` `unpow1/3` `pow1/3` `pow-sqr` `cos-mult` `pow-prod-up`

Counts

4 → 88

Calls

4 calls:

14.0ms	(* x (sin y))
31.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
19.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))

series292.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* x (sin y))
58.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
29.0ms	(* (cos y) (cos y))
158.0ms	(cbrt (cos y))

simplify1.6s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	2194
1	359
0	142

prune667.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
0.3b	(* (cos y) (cos y))
0.3b	(cbrt (* (cos y) (cos y)))
0.3b	(cbrt (cos y))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
9×	`associate-r`
8×	`add-cbrt-cube`
7×	`cbrt-prod`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`swap-sqr` `cos-mult`
2×	`cbrt-div` `pow1/3` `*-commutative`
1×	`pow2` `sqr-cos` `pow-plus` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

29.0ms	(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
16.0ms	(* (cos y) (cos y))
8.0ms	(cbrt (* (cos y) (cos y)))
2.0ms	(cbrt (cos y))

series415.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
28.0ms	(* (cos y) (cos y))
206.0ms	(cbrt (* (cos y) (cos y)))
127.0ms	(cbrt (cos y))

simplify1.5s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
2	1998
1	302
0	118

prune619.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes385.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.5s	1519×	body	1280	valid
1.1s	1232×	body	640	valid
507.0ms	4297×	body	80	valid
248.0ms	620×	body	320	valid
89.0ms	332×	body	160	valid