Details

sample115.0ms

Algorithm

intervals

Results

72.0ms

582×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize44.0ms

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)))

rewrite121.0ms

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:

8.0ms	(- (* y z) (* t a))
31.0ms	(* x (- (* y z) (* t a)))
47.0ms	(* j (- (* c t) (* i y)))
33.0ms	(* b (- (* c z) (* i a)))

series668.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* y z) (* t a))
418.0ms	(* x (- (* y z) (* t a)))
123.0ms	(* j (- (* c t) (* i y)))
84.0ms	(* b (- (* c z) (* i a)))

simplify1.3s

Counts

100 → 100

Iterations

Iter	Nodes
done	5002
2	1409
1	457
0	170

prune1.1s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 9.3b

localize55.0ms

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)))

rewrite151.0ms

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:

67.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
28.0ms	(* (cbrt b) (- (* c z) (* i a)))
27.0ms	(* x (- (* y z) (* t a)))
27.0ms	(* j (- (* c t) (* i y)))

series554.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
291.0ms	(* (cbrt b) (- (* c z) (* i a)))
77.0ms	(* x (- (* y z) (* t a)))
80.0ms	(* j (- (* c t) (* i y)))

simplify1.5s

Counts

124 → 124

Iterations

Iter	Nodes
done	5002
2	2127
1	619
0	214

prune1.1s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 5.9b

localize63.0ms

Local error

Found 4 expressions with local error:

3.3b	(* c (* z b))
5.2b	(* a (- (* i b)))
5.4b	(* x (- (* y z) (* t a)))
5.5b	(* j (- (* c t) (* i y)))

rewrite131.0ms

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:

27.0ms	(* c (* z b))
16.0ms	(* a (- (* i b)))
39.0ms	(* x (- (* y z) (* t a)))
45.0ms	(* j (- (* c t) (* i y)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* c (* z b))
52.0ms	(* a (- (* i b)))
73.0ms	(* x (- (* y z) (* t a)))
105.0ms	(* j (- (* c t) (* i y)))

simplify1.4s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	1571
1	477
0	182

prune961.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 5.6b

localize51.0ms

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)))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
17×	`associate-r`
16×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l`
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`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`flip3--` `flip--` `unswap-sqr`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 96

Calls

4 calls:

21.0ms	(* c (* z b))
38.0ms	(* (* a b) (- i))
50.0ms	(* x (- (* y z) (* t a)))
42.0ms	(* j (- (* c t) (* i y)))

series252.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* c (* z b))
47.0ms	(* (* a b) (- i))
80.0ms	(* x (- (* y z) (* t a)))
97.0ms	(* j (- (* c t) (* i y)))

simplify1.6s

Counts

108 → 108

Iterations

Iter	Nodes
done	5003
2	1768
1	537
0	195

prune967.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 5.6b

regimes2.9s

Accuracy

39.6% (4.3b remaining)

Error of 9.1b against oracle of 4.7b and baseline of 11.9b

bsearch364.0ms

Steps

Iters	Range		Point
6	8.570324564924897e+85	3.863096928723766e+86	1.205607812754414e+86
8	-1.3818332423819878e+76	-4.65234457101725e+72	-1.7988923798283882e+75

simplify17.0ms

Iterations

Iter	Nodes
done	80
3	80
2	73
1	69
0	45

end0.0ms

sample5.2s

Algorithm

intervals

Results

4.1s

19020×

body

valid