Details

sample91.0ms

Algorithm

intervals

Results

31.0ms	51×	body	1280	valid
18.0ms	47×	body	640	valid
13.0ms	127×	body	80	valid
7.0ms	22×	body	320	valid
2.0ms	9×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
2	19
1	12
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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))

rewrite69.0ms

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:

47.0ms	(- (* x (cos y)) (* z (sin y)))
13.0ms	(* x (cos y))
8.0ms	(* z (sin y))

series199.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(- (* x (cos y)) (* z (sin y)))
70.0ms	(* x (cos y))
49.0ms	(* z (sin y))

simplify1.5s

Counts

57 → 57

Iterations

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

prune419.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

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))

rewrite84.0ms

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:

78.0ms	(* (* (cbrt (sin y)) (* z (cbrt (sin y)))) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series519.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (* (cbrt (sin y)) (* z (cbrt (sin y)))) (cbrt (sin y)))
159.0ms	(cbrt (sin y))
149.0ms	(cbrt (sin y))
150.0ms	(cbrt (sin y))

simplify915.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	984
1	193
0	71

prune366.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

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))

rewrite52.0ms

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:

29.0ms	(* (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))

series560.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (cbrt (* (sin y) z)) (cbrt (* (sin y) z)))
123.0ms	(cbrt (* (sin y) z))
150.0ms	(cbrt (* (sin y) z))
130.0ms	(cbrt (* (sin y) z))

simplify736.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	861
1	213
0	87

prune513.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

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)

rewrite13.0ms

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:

9.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

335.0ms	(* (cbrt x) (cbrt x))
264.0ms	(cbrt x)
307.0ms	(cbrt x)
258.0ms	(cbrt x)

simplify1.7s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune472.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

regimes413.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.8s	1474×	body	1280	valid
909.0ms	1304×	body	640	valid
530.0ms	4319×	body	80	valid
209.0ms	606×	body	320	valid
120.0ms	297×	body	160	valid