Details

sample96.0ms

Algorithm

intervals

Results

36.0ms	51×	body	1280	valid
21.0ms	47×	body	640	valid
13.0ms	127×	body	80	valid
7.0ms	22×	body	320	valid
2.0ms	9×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize53.0ms

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))

rewrite47.0ms

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×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

3 → 47

Calls

3 calls:

14.0ms	(+ (* x (cos y)) (* z (sin y)))
13.0ms	(* x (cos y))
18.0ms	(* z (sin y))

series253.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(+ (* x (cos y)) (* z (sin y)))
77.0ms	(* x (cos y))
72.0ms	(* z (sin y))

simplify1.8s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
3	3228
2	684
1	192
0	80

prune291.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite31.0ms

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:

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

series601.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
166.0ms	(cbrt (sin y))
150.0ms	(cbrt (sin y))
130.0ms	(cbrt (sin y))

simplify1.6s

Counts

85 → 85

Iterations

Iter	Nodes
done	5001
2	753
1	177
0	75

prune419.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite25.0ms

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:

17.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

303.0ms	(* (cbrt z) (cbrt z))
255.0ms	(cbrt z)
334.0ms	(cbrt z)
250.0ms	(cbrt z)

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune501.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

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 (* z (sin y))) (cbrt (* z (sin y))))
13.0ms	(cbrt (* z (sin y)))
6.0ms	(cbrt (* z (sin y)))
7.0ms	(cbrt (* z (sin y)))

series793.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
175.0ms	(cbrt (* z (sin y)))
179.0ms	(cbrt (* z (sin y)))
202.0ms	(cbrt (* z (sin y)))

simplify710.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	860
1	213
0	87

prune575.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

regimes392.0ms

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

sample3.9s

Algorithm

intervals

Results

1.7s	1474×	body	1280	valid
814.0ms	1304×	body	640	valid
582.0ms	4319×	body	80	valid
245.0ms	606×	body	320	valid
72.0ms	297×	body	160	valid