Details

sample132.0ms

Algorithm

intervals

Results

49.0ms	47×	body	640	valid
35.0ms	51×	body	1280	valid
13.0ms	127×	body	80	valid
8.0ms	22×	body	320	valid
2.0ms	9×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
2	19
1	12
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

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))

rewrite30.0ms

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:

8.0ms	(- (* x (cos y)) (* z (sin y)))
7.0ms	(* x (cos y))
14.0ms	(* z (sin y))

series239.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(- (* x (cos y)) (* z (sin y)))
66.0ms	(* x (cos y))
70.0ms	(* z (sin y))

simplify1.5s

Counts

57 → 57

Iterations

Iter	Nodes
done	5001
3	2577
2	566
1	180
0	80

prune401.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (cbrt (sin y)) (* z (cbrt (sin y)))) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`add-cbrt-cube`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 57

Calls

4 calls:

84.0ms	(* (* (cbrt (sin y)) (* z (cbrt (sin y)))) (cbrt (sin y)))
10.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))

series590.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* (cbrt (sin y)) (* z (cbrt (sin y)))) (cbrt (sin y)))
163.0ms	(cbrt (sin y))
176.0ms	(cbrt (sin y))
202.0ms	(cbrt (sin y))

simplify1.1s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	984
1	193
0	71

prune834.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (sin y) z)) (cbrt (* (sin y) z)))
8.7b	(cbrt (* (sin y) z))
8.7b	(cbrt (* (sin y) z))
8.7b	(cbrt (* (sin y) z))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

19.0ms	(* (cbrt (* (sin y) z)) (cbrt (* (sin y) z)))
7.0ms	(cbrt (* (sin y) z))
7.0ms	(cbrt (* (sin y) z))
7.0ms	(cbrt (* (sin y) z))

series666.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(* (cbrt (* (sin y) z)) (cbrt (* (sin y) z)))
141.0ms	(cbrt (* (sin y) z))
177.0ms	(cbrt (* (sin y) z))
138.0ms	(cbrt (* (sin y) z))

simplify795.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	861
1	213
0	87

prune542.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite34.0ms

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:

26.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

343.0ms	(* (cbrt x) (cbrt x))
250.0ms	(cbrt x)
336.0ms	(cbrt x)
290.0ms	(cbrt x)

simplify1.4s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune430.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

regimes438.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.2s	1474×	body	1280	valid
1.2s	4319×	body	80	valid
775.0ms	1304×	body	640	valid
253.0ms	606×	body	320	valid
107.0ms	297×	body	160	valid