Details

sample93.0ms

Algorithm

intervals

Results

24.0ms	188×	body	80	valid
23.0ms	25×	body	1280	valid
16.0ms	26×	body	640	valid
7.0ms	16×	body	320	valid
0.0ms	1×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	19	9
3	21	9
done	21	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 2 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

72.0ms	(+ (+ x (sin y)) (* z (cos y)))
18.0ms	(* z (cos y))

series94.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (+ x (sin y)) (* z (cos y)))
51.0ms	(* z (cos y))

simplify2.5s

Counts

37 → 37

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	62	349
1	159	330
2	629	304
3	4119	304
done	5000	304

prune154.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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:

1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
23.0ms	(* (cbrt (cos y)) (cbrt (cos y)))

series689.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (cos y))
139.0ms	(cbrt (cos y))
163.0ms	(cbrt (cos y))
257.0ms	(* (cbrt (cos y)) (cbrt (cos y)))

simplify946.0ms

Counts

85 → 85

Iterations

Useful iterations: done (943.0ms)

Iter	Nodes	Cost
0	64	686
1	146	615
2	626	521
done	5000	507

prune313.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

29×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 74

Calls

4 calls:

2.0ms	(cbrt (cos y))
21.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
10.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
3.0ms	(cbrt (cbrt (cos y)))

series963.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(cbrt (cos y))
205.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
499.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
134.0ms	(cbrt (cbrt (cos y)))

simplify1.2s

Counts

86 → 86

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	94	770
1	195	702
2	800	575
done	5000	561

prune456.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (cos y))
0.0b	(sqrt (cos y))
0.1b	(* z (sqrt (cos y)))
0.1b	(* (* z (sqrt (cos y))) (sqrt (cos y)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

2.0ms	(sqrt (cos y))
2.0ms	(sqrt (cos y))
12.0ms	(* z (sqrt (cos y)))
49.0ms	(* (* z (sqrt (cos y))) (sqrt (cos y)))

series166.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sqrt (cos y))
31.0ms	(sqrt (cos y))
73.0ms	(* z (sqrt (cos y)))
44.0ms	(* (* z (sqrt (cos y))) (sqrt (cos y)))

simplify828.0ms

Counts

81 → 81

Iterations

Useful iterations: done (826.0ms)

Iter	Nodes	Cost
0	69	638
1	167	487
2	894	452
done	5001	441

prune191.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes118.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	985×	body	1280	valid
694.0ms	5590×	body	80	valid
481.0ms	838×	body	640	valid
107.0ms	371×	body	320	valid
82.0ms	216×	body	160	valid