Details

sample115.0ms

Algorithm

intervals

Results

44.0ms	50×	body	1280	valid
22.0ms	38×	body	640	valid
17.0ms	138×	body	80	valid
8.0ms	18×	body	320	valid
3.0ms	12×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
2	19
1	12
0	8

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

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×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

7.0ms	(- (* x (cos y)) (* z (sin y)))
10.0ms	(* x (cos y))
14.0ms	(* z (sin y))

series249.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(- (* x (cos y)) (* z (sin y)))
57.0ms	(* x (cos y))
64.0ms	(* z (sin y))

simplify4.1s

Counts

57 → 57

Iterations

Iter	Nodes
done	5011
4	4876
3	1322
2	420
1	178
0	80

prune331.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

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))

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×	`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:

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

series774.0ms

Counts

4 → 12

Calls

4 calls:

304.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
152.0ms	(cbrt (cos y))
178.0ms	(cbrt (cos y))
140.0ms	(cbrt (cos y))

simplify1.9s

Counts

85 → 85

Iterations

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

prune593.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

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:

14.0ms	(* z (sin y))
37.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
8.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))

series260.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* z (sin y))
54.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
27.0ms	(* (cos y) (cos y))
134.0ms	(cbrt (cos y))

simplify2.7s

Counts

92 → 92

Iterations

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

prune621.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

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

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1`
17×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
8×	`add-cbrt-cube` `add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l` `cos-mult`
5×	`associate-*l/`
4×	`cbrt-prod` `add-log-exp`
3×	`cbrt-div` `pow-prod-down`
2×	`pow2` `sqr-cos` `pow-plus` `pow1/3` `pow3` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`
1×	`frac-times` `associate-*r/` `rem-cbrt-cube`

Counts

4 → 78

Calls

4 calls:

16.0ms	(* (cos y) (cos y))
16.0ms	(* (cos y) (cos y))
155.0ms	(cbrt (* (* (* (cos y) (cos y)) (cos y)) (* (* (cos y) (cos y)) (cos y))))
1.0ms	(cbrt (cos y))

series227.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (cos y) (cos y))
19.0ms	(* (cos y) (cos y))
25.0ms	(cbrt (* (* (* (cos y) (cos y)) (cos y)) (* (* (cos y) (cos y)) (cos y))))
149.0ms	(cbrt (cos y))

simplify4.9s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
4	4290
3	1470
2	514
1	191
0	81

prune604.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes456.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	24
1	24
0	19

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.6s	1545×	body	1280	valid
784.0ms	1234×	body	640	valid
515.0ms	4243×	body	80	valid
346.0ms	659×	body	320	valid
67.0ms	319×	body	160	valid