Details

sample93.0ms

Algorithm

intervals

Results

61.0ms

582×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize70.0ms

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)))

rewrite145.0ms

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:

13.0ms	(- (* y z) (* t a))
49.0ms	(* x (- (* y z) (* t a)))
29.0ms	(* j (- (* c t) (* i y)))
52.0ms	(* b (- (* c z) (* i a)))

series430.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- (* y z) (* t a))
127.0ms	(* x (- (* y z) (* t a)))
133.0ms	(* j (- (* c t) (* i y)))
101.0ms	(* 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

localize58.0ms

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)))

rewrite181.0ms

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:

79.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
32.0ms	(* (cbrt b) (- (* c z) (* i a)))
27.0ms	(* x (- (* y z) (* t a)))
39.0ms	(* j (- (* c t) (* i y)))

series621.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
341.0ms	(* (cbrt b) (- (* c z) (* i a)))
91.0ms	(* 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

prune903.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 5.9b

localize72.0ms

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)))

rewrite112.0ms

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:

17.0ms	(* c (* z b))
15.0ms	(* a (- (* i b)))
37.0ms	(* x (- (* y z) (* t a)))
40.0ms	(* j (- (* c t) (* i y)))

series258.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* c (* z b))
41.0ms	(* a (- (* i b)))
88.0ms	(* x (- (* y z) (* t a)))
90.0ms	(* j (- (* c t) (* i y)))

simplify1.2s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	1571
1	477
0	182

prune906.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 5.6b

localize53.0ms

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)))

rewrite99.0ms

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:

16.0ms	(* c (* z b))
21.0ms	(* (* a b) (- i))
32.0ms	(* x (- (* y z) (* t a)))
27.0ms	(* j (- (* c t) (* i y)))

series212.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* c (* z b))
30.0ms	(* (* a b) (- i))
76.0ms	(* x (- (* y z) (* t a)))
75.0ms	(* j (- (* c t) (* i y)))

simplify1.2s

Counts

108 → 108

Iterations

Iter	Nodes
done	5003
2	1768
1	537
0	195

prune717.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 5.6b

regimes2.5s

Accuracy

39.6% (4.3b remaining)

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

bsearch310.0ms

Steps

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

simplify31.0ms

Iterations

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

end0.0ms

sample4.6s

Algorithm

intervals

Results

3.6s

19020×

body

valid