Details

sample181.0ms

Algorithm

intervals

Results

96.0ms

582×

body

valid

simplify5.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1898
4	721
3	290
2	96
1	43
0	23

prune37.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize97.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* y z) (* t a))
5.4b	(* x (- (* y z) (* t a)))
5.5b	(* j (- (* c t) (* i y)))
5.6b	(* b (- (* c z) (* i a)))

rewrite161.0ms

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:

10.0ms	(- (* y z) (* t a))
41.0ms	(* x (- (* y z) (* t a)))
34.0ms	(* j (- (* c t) (* i y)))
72.0ms	(* b (- (* c z) (* i a)))

series561.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (* y z) (* t a))
163.0ms	(* x (- (* y z) (* t a)))
172.0ms	(* j (- (* c t) (* i y)))
157.0ms	(* b (- (* c z) (* i a)))

simplify3.0s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1361
1	449
0	170

prune2.9s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 9.7b

localize167.0ms

Local error

Found 4 expressions with local error:

2.4b	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
3.5b	(* (cbrt b) (- (* c z) (* i a)))
5.4b	(* x (- (* y z) (* t a)))
5.5b	(* j (- (* c t) (* i y)))

rewrite269.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`add-cbrt-cube`
14×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-l`
11×	`*-un-lft-identity` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
10×	`sub-neg` `associate-r` `associate-*r/`
4×	`cbrt-prod` `flip3--` `*-commutative` `insert-posit16` `flip--` `add-log-exp` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

112.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
53.0ms	(* (cbrt b) (- (* c z) (* i a)))
44.0ms	(* x (- (* y z) (* t a)))
48.0ms	(* j (- (* c t) (* i y)))

series1.0s

Counts

4 → 12

Calls

4 calls:

186.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
547.0ms	(* (cbrt b) (- (* c z) (* i a)))
127.0ms	(* x (- (* y z) (* t a)))
148.0ms	(* j (- (* c t) (* i y)))

simplify3.8s

Counts

124 → 124

Iterations

Iter	Nodes
done	5000
2	2096
1	618
0	214

prune3.1s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 7.6b

localize156.0ms

Local error

Found 4 expressions with local error:

3.3b	(* c (* z b))
5.4b	(* x (- (* y z) (* t a)))
5.5b	(* j (- (* c t) (* i y)))
5.6b	(* (- (* a i)) b)

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-r`
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-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`

Counts

4 → 92

Calls

4 calls:

26.0ms	(* c (* z b))
45.0ms	(* x (- (* y z) (* t a)))
52.0ms	(* j (- (* c t) (* i y)))
18.0ms	(* (- (* a i)) b)

series400.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* c (* z b))
145.0ms	(* x (- (* y z) (* t a)))
120.0ms	(* j (- (* c t) (* i y)))
71.0ms	(* (- (* a i)) b)

simplify2.7s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	1531
1	465
0	179

prune3.0s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 6.1b

localize125.0ms

Local error

Found 4 expressions with local error:

3.3b	(* c (* z b))
4.7b	(* (* (- a) b) i)
5.4b	(* x (- (* y z) (* t a)))
5.5b	(* j (- (* c t) (* i y)))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

35.0ms	(* c (* z b))
32.0ms	(* (* (- a) b) i)
67.0ms	(* x (- (* y z) (* t a)))
47.0ms	(* j (- (* c t) (* i y)))

series391.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* c (* z b))
52.0ms	(* (* (- a) b) i)
145.0ms	(* x (- (* y z) (* t a)))
146.0ms	(* j (- (* c t) (* i y)))

simplify3.2s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	1686
1	493
0	184

prune2.2s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 5.9b

regimes8.7s

Accuracy

28.5% (5.5b remaining)

Error of 10.3b against oracle of 4.8b and baseline of 12.5b

bsearch806.0ms

Steps

Iters	Range		Point
5	7.036513239779174e-22	1.6466123121900505e-21	1.3920007626224294e-21
8	-5.458955071558374e-195	-1.852976135222607e-199	-7.642484941746692e-197
10	-6.180349770599781e-113	-6.0339804567880636e-127	-5.217128050956565e-116
7	-1.381541080692419e+19	-5.081201493801851e+17	-1.4539161640363453e+18

simplify134.0ms

Iterations

Iter	Nodes
done	123
3	123
2	119
1	106
0	71

end0.0ms

sample5.4s

Algorithm

intervals

Results

3.5s

19020×

body

valid