Details

sample150.0ms

Algorithm

intervals

Results

115.0ms

586×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.3b

localize58.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* y z) (* t a))
3.3b	(* j (- (* c t) (* i y)))
4.9b	(* b (- (* c z) (* i a)))
4.9b	(* x (- (* y z) (* t a)))

rewrite141.0ms

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:

15.0ms	(- (* y z) (* t a))
48.0ms	(* j (- (* c t) (* i y)))
46.0ms	(* b (- (* c z) (* i a)))
29.0ms	(* x (- (* y z) (* t a)))

series371.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* y z) (* t a))
114.0ms	(* j (- (* c t) (* i y)))
105.0ms	(* b (- (* c z) (* i a)))
107.0ms	(* x (- (* y z) (* t a)))

simplify1.4s

Counts

100 → 100

Iterations

Iter	Nodes
done	5002
2	1405
1	457
0	170

prune825.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 6.8b

localize62.0ms

Local error

Found 4 expressions with local error:

3.3b	(* j (- (* c t) (* i y)))
4.9b	(* x (- (* y z) (* t a)))
5.8b	(* (* c z) b)
5.9b	(* (- (* i a)) b)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`associate-l`
12×	`associate-r`
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-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`

Counts

4 → 92

Calls

4 calls:

30.0ms	(* j (- (* c t) (* i y)))
23.0ms	(* x (- (* y z) (* t a)))
14.0ms	(* (* c z) b)
9.0ms	(* (- (* i a)) b)

series251.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* j (- (* c t) (* i y)))
90.0ms	(* x (- (* y z) (* t a)))
40.0ms	(* (* c z) b)
45.0ms	(* (- (* i a)) b)

simplify1.1s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	1588
1	477
0	179

prune787.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.2b

localize48.0ms

Local error

Found 4 expressions with local error:

3.3b	(* j (- (* c t) (* i y)))
4.8b	(* i (* (- a) b))
4.9b	(* x (- (* y z) (* t a)))
5.8b	(* (* c z) b)

rewrite97.0ms

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:

25.0ms	(* j (- (* c t) (* i y)))
30.0ms	(* i (* (- a) b))
23.0ms	(* x (- (* y z) (* t a)))
19.0ms	(* (* c z) b)

series281.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* j (- (* c t) (* i y)))
37.0ms	(* i (* (- a) b))
111.0ms	(* x (- (* y z) (* t a)))
31.0ms	(* (* c z) b)

simplify1.2s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	1622
1	499
0	184

prune706.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 4.1b

localize43.0ms

Local error

Found 4 expressions with local error:

3.3b	(* j (- (* c t) (* i y)))
4.7b	(* z (* b c))
4.8b	(* i (* (- a) b))
4.9b	(* x (- (* y z) (* t a)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
12×	`associate-l`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r` `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:

24.0ms	(* j (- (* c t) (* i y)))
13.0ms	(* z (* b c))
16.0ms	(* i (* (- a) b))
29.0ms	(* x (- (* y z) (* t a)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* j (- (* c t) (* i y)))
28.0ms	(* z (* b c))
33.0ms	(* i (* (- a) b))
72.0ms	(* x (- (* y z) (* t a)))

simplify1.2s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	1502
1	483
0	180

prune1.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 3.8b

regimes1.9s

Accuracy

18.9% (5.1b remaining)

Error of 10.8b against oracle of 5.7b and baseline of 12.0b

bsearch227.0ms

Steps

Iters	Range		Point
8	-6.399157836746644e+128	-4.191542074081827e+125	-1.0730045135916517e+126

simplify30.0ms

Iterations

Iter	Nodes
done	86
3	86
2	82
1	69
0	42

end0.0ms

sample5.9s

Algorithm

intervals

Results

4.2s

18880×

body

valid