Details

sample211.0ms

Algorithm

intervals

Results

161.0ms

647×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2010
6	2010
5	1898
4	721
3	290
2	96
1	43
0	23

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) (* t a))
3.7b	(* x (- (* y z) (* t a)))
4.6b	(* j (- (* c t) (* i y)))
6.4b	(* b (- (* c z) (* i a)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`associate-r` `associate-l`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `add-log-exp`
4×	`flip3--` `insert-posit16` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 88

Calls

4 calls:

7.0ms	(- (* y z) (* t a))
34.0ms	(* x (- (* y z) (* t a)))
34.0ms	(* j (- (* c t) (* i y)))
42.0ms	(* b (- (* c z) (* i a)))

series349.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (* y z) (* t a))
110.0ms	(* x (- (* y z) (* t a)))
104.0ms	(* j (- (* c t) (* i y)))
82.0ms	(* b (- (* c z) (* i a)))

simplify913.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	2001
3	2001
2	1409
1	457
0	170

prune2.0s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 7.7b

localize55.0ms

Local error

Found 4 expressions with local error:

4.4b	(* x (* y z))
4.4b	(* x (- (* t a)))
4.6b	(* j (- (* c t) (* i y)))
6.4b	(* b (- (* c z) (* i a)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`associate-r`
12×	`associate-l`
11×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 92

Calls

4 calls:

13.0ms	(* x (* y z))
10.0ms	(* x (- (* t a)))
29.0ms	(* j (- (* c t) (* i y)))
22.0ms	(* b (- (* c z) (* i a)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* x (* y z))
39.0ms	(* x (- (* t a)))
97.0ms	(* j (- (* c t) (* i y)))
91.0ms	(* b (- (* c z) (* i a)))

simplify954.0ms

Counts

104 → 104

Iterations

Iter	Nodes
done	2000
3	2000
2	1635
1	480
0	178

prune2.2s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 5.8b

localize99.0ms

Local error

Found 4 expressions with local error:

3.0b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (* y z)))
4.4b	(* x (- (* t a)))
4.6b	(* j (- (* c t) (* i y)))
6.4b	(* b (- (* c z) (* i a)))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1` `add-exp-log`
21×	`add-cbrt-cube`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
16×	`add-sqr-sqrt`
13×	`associate-r`
10×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 102

Calls

4 calls:

70.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (* y z)))
16.0ms	(* x (- (* t a)))
39.0ms	(* j (- (* c t) (* i y)))
36.0ms	(* b (- (* c z) (* i a)))

series283.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (* y z)))
44.0ms	(* x (- (* t a)))
90.0ms	(* j (- (* c t) (* i y)))
81.0ms	(* b (- (* c z) (* i a)))

simplify1.2s

Counts

114 → 114

Iterations

Iter	Nodes
done	2001
3	2001
2	1893
1	542
0	199

prune2.4s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 5.8b

localize92.0ms

Local error

Found 4 expressions with local error:

6.4b	(* b (- (* c z) (* i a)))
14.6b	(cbrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (* y z))))
14.6b	(cbrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (* y z))))
14.6b	(cbrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (* y z))))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`

Counts

4 → 55

Calls

4 calls:

22.0ms	(* b (- (* c z) (* i a)))
34.0ms	(cbrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (* y z))))
33.0ms	(cbrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (* y z))))
37.0ms	(cbrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (* y z))))

series364.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* b (- (* c z) (* i a)))
97.0ms	(cbrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (* y z))))
95.0ms	(cbrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (* y z))))
97.0ms	(cbrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (* y z))))

simplify879.0ms

Counts

67 → 67

Iterations

Iter	Nodes
done	2020
3	2020
2	735
1	266
0	107

prune1.5s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 5.8b

regimes2.1s

Accuracy

-7.3% (6.0b remaining)

Error of 11.7b against oracle of 5.7b and baseline of 11.3b

bsearch300.0ms

Steps

Iters	Range		Point
6	2.6781261904614044e-253	3.607155687753861e-252	7.820861133577622e-253
7	-2.6282564152310577e-129	-6.003448556474239e-131	-6.486872471409811e-131

simplify27.0ms

Iterations

Iter	Nodes
done	93
3	93
2	89
1	76
0	48

end0.0ms

sample6.0s

Algorithm

intervals

Results

4.5s

18944×

body

valid