Details

sample86.0ms

Algorithm

intervals

Results

27.0ms	37×	body	1280	valid
18.0ms	176×	body	80	valid
13.0ms	25×	body	640	valid
2.0ms	10×	body	160	valid
2.0ms	8×	body	320	valid

simplify18.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	20
3	20
2	19
1	13
0	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

11.0ms	(+ x (sin y))
57.0ms	(+ (+ x (sin y)) (* z (cos y)))
7.0ms	(* z (cos y))

series178.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(+ x (sin y))
83.0ms	(+ (+ x (sin y)) (* z (cos y)))
46.0ms	(* z (cos y))

simplify2.0s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
3	2318
2	647
1	204
0	79

prune336.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

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))

rewrite22.0ms

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` `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 → 73

Calls

4 calls:

16.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series697.0ms

Counts

4 → 12

Calls

4 calls:

259.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
168.0ms	(cbrt (cos y))
131.0ms	(cbrt (cos y))
139.0ms	(cbrt (cos y))

simplify1.9s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
3	1140
2	366
1	144
0	64

prune513.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
21×	`pow1`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `prod-exp` `add-cube-cbrt`
10×	`add-cbrt-cube`
9×	`associate-r`
6×	`cbrt-prod` `pow-pow` `cbrt-unprod`
4×	`associate-l` `pow-exp` `add-log-exp`
3×	`pow-unpow` `swap-sqr` `pow-prod-down`
2×	`pow2` `pow-to-exp` `pow-plus` `unpow1/3` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`sqr-cos` `unpow-prod-down` `pow1/3` `cos-mult` `unswap-sqr` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

14.0ms	(pow (* (cos y) (cos y)) 1/3)
44.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
17.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))

series493.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(pow (* (cos y) (cos y)) 1/3)
61.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
27.0ms	(* (cos y) (cos y))
139.0ms	(cbrt (cos y))

simplify3.0s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
3	2940
2	1093
1	347
0	128

prune517.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`

Counts

4 → 47

Calls

4 calls:

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

series570.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(cbrt (cbrt (cos y)))
182.0ms	(cbrt (cos y))
129.0ms	(cbrt (cos y))
143.0ms	(cbrt (cos y))

simplify2.6s

Counts

59 → 59

Iterations

Iter	Nodes
done	5000
5	4181
4	1211
3	412
2	158
1	80
0	46

prune494.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes384.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.0s	5519×	body	80	valid
748.0ms	970×	body	1280	valid
612.0ms	870×	body	640	valid
177.0ms	433×	body	320	valid
45.0ms	207×	body	160	valid
4.0ms	1×	body	2560	valid