Details

sample88.0ms

Algorithm

intervals

Results

34.0ms	53×	body	1280	valid
18.0ms	42×	body	640	valid
12.0ms	127×	body	80	valid
7.0ms	25×	body	320	valid
2.0ms	9×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	25
3	25
2	21
1	13
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize41.0ms

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))

rewrite27.0ms

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×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

3 → 56

Calls

3 calls:

9.0ms	(- (* x (cos y)) (* z (sin y)))
8.0ms	(* z (sin y))
9.0ms	(* x (cos y))

series193.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(- (* x (cos y)) (* z (sin y)))
56.0ms	(* z (sin y))
58.0ms	(* x (cos y))

simplify2.7s

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
3	3547
2	637
1	202
0	91

prune430.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

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))

rewrite30.0ms

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` `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 → 81

Calls

4 calls:

22.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series786.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
186.0ms	(cbrt (cos y))
182.0ms	(cbrt (cos y))
164.0ms	(cbrt (cos y))

simplify1.7s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	640
1	152
0	68

prune689.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
0.3b	(* (cos y) (cos y))
0.3b	(cbrt (cos y))
0.4b	(cbrt (* (cos y) (cos y)))

rewrite75.0ms

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` `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 → 78

Calls

4 calls:

44.0ms	(* (* x (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
10.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))
15.0ms	(cbrt (* (cos y) (cos y)))

series478.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* x (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
31.0ms	(* (cos y) (cos y))
123.0ms	(cbrt (cos y))
275.0ms	(cbrt (* (cos y) (cos y)))

simplify1.6s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
2	2026
1	302
0	118

prune627.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

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))

rewrite112.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 88

Calls

4 calls:

16.0ms	(* z (sin y))
72.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
17.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))

series300.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* z (sin y))
63.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
23.0ms	(* (cos y) (cos y))
164.0ms	(cbrt (cos y))

simplify1.5s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	2194
1	359
0	142

prune636.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes529.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	22
1	22
0	17

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.3s	1456×	body	1280	valid
1.2s	1264×	body	640	valid
699.0ms	4318×	body	80	valid
291.0ms	618×	body	320	valid
86.0ms	344×	body	160	valid