Details

sample103.0ms

Algorithm

intervals

Results

32.0ms	48×	body	1280	valid
25.0ms	128×	body	80	valid
18.0ms	46×	body	640	valid
8.0ms	26×	body	320	valid
1.0ms	8×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	25
3	25
2	21
1	13
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (cos y))
0.2b	(* z (sin y))

rewrite26.0ms

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:

11.0ms	(* x (cos y))
14.0ms	(* z (sin y))

series126.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(* x (cos y))
65.0ms	(* z (sin y))

simplify2.3s

Counts

46 → 46

Iterations

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

prune320.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

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))

rewrite17.0ms

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)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series627.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
118.0ms	(cbrt (cos y))
115.0ms	(cbrt (cos y))
154.0ms	(cbrt (cos y))

simplify1.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	640
1	152
0	68

prune672.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

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:

9.0ms	(* z (sin y))
35.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
15.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))

series290.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* z (sin y))
49.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
26.0ms	(* (cos y) (cos y))
157.0ms	(cbrt (cos y))

simplify1.5s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	2194
1	359
0	142

prune735.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b	(log1p (expm1 (cbrt (cos y))))
0.3b	(* (cos y) (cos y))
0.3b	(cbrt (cos y))
0.6b	(expm1 (cbrt (cos y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

0.0ms	(log1p (expm1 (cbrt (cos y))))
9.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))
0.0ms	(expm1 (cbrt (cos y)))

series751.0ms

Counts

4 → 12

Calls

4 calls:

344.0ms	(log1p (expm1 (cbrt (cos y))))
18.0ms	(* (cos y) (cos y))
121.0ms	(cbrt (cos y))
268.0ms	(expm1 (cbrt (cos y)))

simplify1.3s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
2	1299
1	228
0	98

prune602.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes387.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	18
1	18
0	15

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.3s	1515×	body	1280	valid
969.0ms	4303×	body	80	valid
922.0ms	1236×	body	640	valid
234.0ms	624×	body	320	valid
71.0ms	322×	body	160	valid