Details

sample126.0ms

Algorithm

intervals

Results

49.0ms	53×	body	1280	valid
25.0ms	42×	body	640	valid
16.0ms	127×	body	80	valid
10.0ms	25×	body	320	valid
2.0ms	9×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

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`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

3 → 47

Calls

3 calls:

8.0ms	(+ (* x (cos y)) (* z (sin y)))
9.0ms	(* z (sin y))
40.0ms	(* x (cos y))

series260.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(+ (* x (cos y)) (* z (sin y)))
71.0ms	(* z (sin y))
84.0ms	(* x (cos y))

simplify2.3s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
3	1577
2	499
1	190
0	80

prune386.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

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))

rewrite24.0ms

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)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series748.0ms

Counts

4 → 12

Calls

4 calls:

294.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
158.0ms	(cbrt (cos y))
150.0ms	(cbrt (cos y))
144.0ms	(cbrt (cos y))

simplify2.0s

Counts

85 → 85

Iterations

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

prune642.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 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))

rewrite68.0ms

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×	`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 → 80

Calls

4 calls:

11.0ms	(* z (sin y))
43.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
9.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))

series307.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* z (sin y))
53.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
26.0ms	(* (cos y) (cos y))
157.0ms	(cbrt (cos y))

simplify2.8s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
3	3388
2	1043
1	346
0	134

prune779.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.2b	(* (* x (pow (+ 1/2 (* 1/2 (cos (+ y y)))) 1/3)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.4b	(+ 1/2 (* 1/2 (cos (+ y y))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log`
11×	`add-sqr-sqrt`
10×	`add-cbrt-cube`
9×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
8×	`pow1` `prod-exp`
6×	`cbrt-prod` `cbrt-unprod` `add-log-exp`
4×	`associate-l`
2×	`pow-prod-down` `*-commutative`
1×	`pow-to-exp` `+-commutative` `sum-log` `flip3-+` `unpow1/3` `pow1/3` `pow-exp` `flip-+` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

8.0ms	(* z (sin y))
58.0ms	(* (* x (pow (+ 1/2 (* 1/2 (cos (+ y y)))) 1/3)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
11.0ms	(+ 1/2 (* 1/2 (cos (+ y y))))

series630.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* z (sin y))
298.0ms	(* (* x (pow (+ 1/2 (* 1/2 (cos (+ y y)))) 1/3)) (cbrt (cos y)))
176.0ms	(cbrt (cos y))
61.0ms	(+ 1/2 (* 1/2 (cos (+ y y))))

simplify3.5s

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
3	4323
2	1063
1	340
0	131

prune557.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes402.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	23
1	23
0	17

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.8s	1456×	body	1280	valid
736.0ms	4318×	body	80	valid
660.0ms	1264×	body	640	valid
593.0ms	344×	body	160	valid
310.0ms	618×	body	320	valid