Details

sample76.0ms

Algorithm

intervals

Results

29.0ms	49×	body	1280	valid
16.0ms	38×	body	640	valid
11.0ms	137×	body	80	valid
6.0ms	23×	body	320	valid
2.0ms	9×	body	160	valid

simplify4.0ms

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

localize37.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

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×	`insert-posit16`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

3 → 50

Calls

3 calls:

12.0ms	(+ (* x (sin y)) (* z (cos y)))
8.0ms	(* x (sin y))
9.0ms	(* z (cos y))

series233.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(+ (* x (sin y)) (* z (cos y)))
59.0ms	(* x (sin y))
62.0ms	(* z (cos y))

simplify2.2s

Counts

59 → 59

Iterations

Iter	Nodes
done	5000
3	1571
2	500
1	194
0	84

prune285.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin 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` `insert-posit16` `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 → 77

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))

series558.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
124.0ms	(cbrt (sin y))
130.0ms	(cbrt (sin y))
141.0ms	(cbrt (sin y))

simplify2.1s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
3	1407
2	456
1	176
0	77

prune403.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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)

rewrite19.0ms

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` `insert-posit16` `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 → 77

Calls

4 calls:

15.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.3s

Counts

4 → 12

Calls

4 calls:

314.0ms	(* (cbrt x) (cbrt x))
327.0ms	(cbrt x)
359.0ms	(cbrt x)
341.0ms	(cbrt x)

simplify3.8s

Counts

89 → 89

Iterations

Iter	Nodes
done	5002
4	3832
3	1045
2	380
1	138
0	63

prune581.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

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` `insert-posit16` `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 → 62

Calls

4 calls:

33.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
7.0ms	(cbrt (* z (cos y)))
4.0ms	(cbrt (* z (cos y)))
4.0ms	(cbrt (* z (cos y)))

series717.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
182.0ms	(cbrt (* z (cos y)))
178.0ms	(cbrt (* z (cos y)))
165.0ms	(cbrt (* z (cos y)))

simplify1.6s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
3	1526
2	546
1	201
0	83

prune529.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes260.0ms

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

sample3.7s

Algorithm

intervals

Results

1.3s	1480×	body	1280	valid
782.0ms	1258×	body	640	valid
616.0ms	4328×	body	80	valid
479.0ms	310×	body	160	valid
253.0ms	624×	body	320	valid