Details

sample93.0ms

Algorithm

intervals

Results

33.0ms	48×	body	1280	valid
15.0ms	36×	body	640	valid
13.0ms	132×	body	80	valid
7.0ms	25×	body	320	valid
3.0ms	15×	body	160	valid

simplify35.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize70.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (cos y)) (* z (sin y)))
0.1b	(* x (cos y))
0.1b	(* z (sin y))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
3×	`insert-posit16`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

3 → 50

Calls

3 calls:

41.0ms	(+ (* x (cos y)) (* z (sin y)))
37.0ms	(* x (cos y))
21.0ms	(* z (sin y))

series311.0ms

Counts

3 → 9

Calls

3 calls:

162.0ms	(+ (* x (cos y)) (* z (sin y)))
61.0ms	(* x (cos y))
87.0ms	(* z (sin y))

simplify4.8s

Counts

59 → 59

Iterations

Iter	Nodes
done	5001
3	1651
2	495
1	193
0	83

prune767.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize167.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

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×	`add-cbrt-cube` `insert-posit16` `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 → 77

Calls

4 calls:

33.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
7.0ms	(cbrt (cos y))
7.0ms	(cbrt (cos y))
7.0ms	(cbrt (cos y))

series963.0ms

Counts

4 → 12

Calls

4 calls:

332.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
219.0ms	(cbrt (cos y))
221.0ms	(cbrt (cos y))
191.0ms	(cbrt (cos y))

simplify10.9s

Counts

89 → 89

Iterations

Iter	Nodes
done	5004
4	4445
3	1186
2	352
1	145
0	66

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize176.0ms

Local error

Found 4 expressions with local error:

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

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
19×	`add-sqr-sqrt`
16×	`prod-exp`
14×	`associate-r`
13×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
8×	`cbrt-unprod`
7×	`associate-l`
6×	`cbrt-prod`
4×	`pow-exp` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`swap-sqr` `*-commutative`
2×	`pow-to-exp` `unpow-prod-down` `unpow1/3` `pow-prod-down` `sqr-pow`
1×	`pow2` `sqr-cos` `pow-plus` `pow1/3` `pow-sqr` `cos-mult` `pow-prod-up`

Counts

4 → 91

Calls

4 calls:

50.0ms	(* x (pow (* (cos y) (cos y)) 1/3))
146.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
23.0ms	(* (cos y) (cos y))
3.0ms	(cbrt (cos y))

series587.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(* x (pow (* (cos y) (cos y)) 1/3))
98.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
29.0ms	(* (cos y) (cos y))
212.0ms	(cbrt (cos y))

simplify7.7s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
3	3307
2	956
1	333
0	131

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize186.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (pow (exp (log (* (cos y) (cos y)))) 1/3)) (cbrt (cos y)))
0.2b	(* (cos y) (cos y))
0.3b	(cbrt (cos y))
1.5b	(log (* (cos y) (cos y)))

rewrite348.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1`
18×	`add-exp-log`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`add-cbrt-cube`
9×	`associate-r` `prod-exp`
6×	`cbrt-prod` `log-pow` `cbrt-unprod`
4×	`associate-l` `insert-posit16` `add-log-exp`
3×	`swap-sqr` `pow-prod-down`
2×	`pow2` `pow-plus` `rem-log-exp` `pow-sqr` `cos-mult` `*-commutative` `pow-prod-up`
1×	`pow-to-exp` `log-div` `sqr-cos` `log-prod` `unpow1/3` `pow1/3` `pow-exp` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

263.0ms	(* (* x (pow (exp (log (* (cos y) (cos y)))) 1/3)) (cbrt (cos y)))
34.0ms	(* (cos y) (cos y))
7.0ms	(cbrt (cos y))
40.0ms	(log (* (cos y) (cos y)))

series630.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (* x (pow (exp (log (* (cos y) (cos y)))) 1/3)) (cbrt (cos y)))
37.0ms	(* (cos y) (cos y))
212.0ms	(cbrt (cos y))
288.0ms	(log (* (cos y) (cos y)))

simplify8.3s

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
3	3673
2	1021
1	323
0	127

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify14.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.7s	1349×	body	640	valid
1.6s	1536×	body	1280	valid
609.0ms	4192×	body	80	valid
290.0ms	586×	body	320	valid
121.0ms	337×	body	160	valid