Details

sample170.0ms

Algorithm

intervals

Results

129.0ms

641×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
5	1885
4	721
3	290
2	96
1	43
0	23

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize68.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* y z) (* t a))
4.6b	(* j (- (* c a) (* y i)))
5.0b	(* b (- (* c z) (* t i)))
6.6b	(* x (- (* y z) (* t a)))

rewrite101.0ms

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))
23.0ms	(* j (- (* c a) (* y i)))
33.0ms	(* b (- (* c z) (* t i)))
37.0ms	(* x (- (* y z) (* t a)))

series295.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* y z) (* t a))
88.0ms	(* j (- (* c a) (* y i)))
80.0ms	(* b (- (* c z) (* t i)))
81.0ms	(* x (- (* y z) (* t a)))

simplify723.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	2000
2	1409
1	457
0	170

prune915.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 7.5b

localize97.0ms

Local error

Found 4 expressions with local error:

4.6b	(* j (- (* c a) (* y i)))
5.0b	(* b (- (* c z) (* t i)))
5.9b	(* x (* y z))
6.2b	(* x (- (* t a)))

rewrite106.0ms

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:

23.0ms	(* j (- (* c a) (* y i)))
40.0ms	(* b (- (* c z) (* t i)))
24.0ms	(* x (* y z))
17.0ms	(* x (- (* t a)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* j (- (* c a) (* y i)))
84.0ms	(* b (- (* c z) (* t i)))
30.0ms	(* x (* y z))
33.0ms	(* x (- (* t a)))

simplify846.0ms

Counts

104 → 104

Iterations

Iter	Nodes
done	2000
2	1582
1	473
0	178

prune1.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 5.2b

localize58.0ms

Local error

Found 4 expressions with local error:

4.3b	(* (* x (- t)) a)
4.6b	(* j (- (* c a) (* y i)))
5.0b	(* b (- (* c z) (* t i)))
5.9b	(* x (* y z))

rewrite125.0ms

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×	`flip3--` `flip--` `unswap-sqr`
1×	`distribute-lft-neg-out` `distribute-rgt-neg-out`

Counts

4 → 89

Calls

4 calls:

32.0ms	(* (* x (- t)) a)
46.0ms	(* j (- (* c a) (* y i)))
29.0ms	(* b (- (* c z) (* t i)))
16.0ms	(* x (* y z))

series285.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* x (- t)) a)
108.0ms	(* j (- (* c a) (* y i)))
104.0ms	(* b (- (* c z) (* t i)))
32.0ms	(* x (* y z))

simplify983.0ms

Counts

101 → 101

Iterations

Iter	Nodes
done	2005
2	1578
1	488
0	183

prune1.0s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 3.5b

localize82.0ms

Local error

Found 4 expressions with local error:

4.6b	(* j (- (* c a) (* y i)))
4.7b	(* (* b i) (- t))
5.1b	(* b (* c z))
5.9b	(* x (* y z))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

33.0ms	(* j (- (* c a) (* y i)))
34.0ms	(* (* b i) (- t))
24.0ms	(* b (* c z))
13.0ms	(* x (* y z))

series184.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* j (- (* c a) (* y i)))
29.0ms	(* (* b i) (- t))
29.0ms	(* b (* c z))
31.0ms	(* x (* y z))

simplify941.0ms

Counts

102 → 102

Iterations

Iter	Nodes
done	2000
2	1675
1	486
0	177

prune863.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.5b

regimes1.5s

Accuracy

32% (5.8b remaining)

Error of 9.3b against oracle of 3.5b and baseline of 12.0b

bsearch226.0ms

Steps

Iters	Range		Point
4	1.3114373109450886e-34	1.9992654172680267e-34	1.9015513961511429e-34
7	-2.825446697994544e-121	-4.012739624803823e-123	-2.2224158461403074e-121

simplify55.0ms

Iterations

Iter	Nodes
done	132
4	132
3	130
2	114
1	89
0	51

end0.0ms

sample5.7s

Algorithm

intervals

Results

4.6s

18721×

body

valid