Details

sample85.0ms

Algorithm

intervals

Results

26.0ms	39×	body	1280	valid
20.0ms	48×	body	640	valid
18.0ms	139×	body	80	valid
6.0ms	22×	body	320	valid
2.0ms	8×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

1.0ms	(fma (sin y) z (* x (cos y)))
11.0ms	(* x (cos y))

series205.0ms

Counts

2 → 6

Calls

2 calls:

146.0ms	(fma (sin y) z (* x (cos y)))
58.0ms	(* x (cos y))

simplify2.7s

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
4	1829
3	567
2	199
1	91
0	52

prune205.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `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 → 85

Calls

4 calls:

14.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
5.0ms	(cbrt (cos y))

series753.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
163.0ms	(cbrt (cos y))
175.0ms	(cbrt (cos y))
151.0ms	(cbrt (cos y))

simplify3.4s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
4	4560
3	1176
2	391
1	152
0	70

prune521.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(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))

rewrite118.0ms

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×	`expm1-log1p-u` `associate-l` `pow-exp` `insert-posit16` `log1p-expm1-u` `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 → 96

Calls

4 calls:

16.0ms	(pow (* (cos y) (cos y)) 1/3)
76.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
22.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))

series514.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(pow (* (cos y) (cos y)) 1/3)
67.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
31.0ms	(* (cos y) (cos y))
168.0ms	(cbrt (cos y))

simplify2.8s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
3	4274
2	1144
1	367
0	140

prune538.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
9×	`associate-r`
8×	`add-cbrt-cube`
7×	`cbrt-prod`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`swap-sqr` `cos-mult`
2×	`cbrt-div` `pow1/3` `*-commutative`
1×	`pow2` `sqr-cos` `pow-plus` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

76.0ms	(* (* x (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
29.0ms	(* (cos y) (cos y))
10.0ms	(cbrt (* (cos y) (cos y)))
3.0ms	(cbrt (cos y))

series518.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (* x (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
35.0ms	(* (cos y) (cos y))
284.0ms	(cbrt (* (cos y) (cos y)))
133.0ms	(cbrt (cos y))

simplify2.7s

Counts

94 → 94

Iterations

Iter	Nodes
done	5003
3	2810
2	897
1	305
0	122

prune527.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes259.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.8s	1421×	body	1280	valid
1.1s	4456×	body	80	valid
788.0ms	1186×	body	640	valid
255.0ms	596×	body	320	valid
84.0ms	341×	body	160	valid