Details

sample219.0ms

Algorithm

intervals

Results

165.0ms

581×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
6	4056
5	1674
4	721
3	290
2	96
1	43
0	23

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
4.3b	(* j (- (* c t) (* i y)))
5.3b	(* b (- (* c z) (* i a)))
5.9b	(* x (- (* y z) (* t a)))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate-*r/`
19×	`flip3--` `flip--`
16×	`add-sqr-sqrt`
12×	`frac-add`
11×	`sub-neg`
10×	`distribute-rgt-in` `pow1` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`associate-r` `associate-l` `add-log-exp`
8×	`frac-sub`
6×	`associate-+l+`
4×	`associate-+r+` `associate--l+` `insert-posit16`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`sum-log`
1×	`+-commutative` `flip3-+` `diff-log` `associate-+l-` `flip-+`

Counts

4 → 111

Calls

4 calls:

97.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
36.0ms	(* j (- (* c t) (* i y)))
22.0ms	(* b (- (* c z) (* i a)))
43.0ms	(* x (- (* y z) (* t a)))

series1.1s

Counts

4 → 12

Calls

4 calls:

815.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
78.0ms	(* j (- (* c t) (* i y)))
76.0ms	(* b (- (* c z) (* i a)))
95.0ms	(* x (- (* y z) (* t a)))

simplify1.8s

Counts

123 → 123

Iterations

Iter	Nodes
2	4419
1	959
0	279

prune2.5s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 5.7b

localize83.0ms

Local error

Found 4 expressions with local error:

2.9b	(* (cbrt x) (- (* y z) (* t a)))
3.2b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
4.3b	(* j (- (* c t) (* i y)))
5.3b	(* b (- (* c z) (* i a)))

rewrite183.0ms

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:

44.0ms	(* (cbrt x) (- (* y z) (* t a)))
79.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
23.0ms	(* j (- (* c t) (* i y)))
34.0ms	(* b (- (* c z) (* i a)))

series707.0ms

Counts

4 → 12

Calls

4 calls:

396.0ms	(* (cbrt x) (- (* y z) (* t a)))
130.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
77.0ms	(* j (- (* c t) (* i y)))
105.0ms	(* b (- (* c z) (* i a)))

simplify3.7s

Counts

124 → 124

Iterations

Iter	Nodes
3	7919
2	1948
1	591
0	213

prune2.9s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 2.3b

localize100.0ms

Local error

Found 4 expressions with local error:

4.3b	(* j (- (* c t) (* i y)))
5.3b	(* b (- (* c z) (* i a)))
5.3b	(* t (* (- x) a))
6.6b	(* (* x z) y)

rewrite135.0ms

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)))
50.0ms	(* b (- (* c z) (* i a)))
30.0ms	(* t (* (- x) a))
29.0ms	(* (* x z) y)

series257.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* j (- (* c t) (* i y)))
105.0ms	(* b (- (* c z) (* i a)))
31.0ms	(* t (* (- x) a))
38.0ms	(* (* x z) y)

simplify2.5s

Counts

101 → 101

Iterations

Iter	Nodes
3	6340
2	1503
1	473
0	186

prune2.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 1.8b

localize72.0ms

Local error

Found 4 expressions with local error:

4.3b	(* j (- (* c t) (* i y)))
4.4b	(* (* t (- x)) a)
5.3b	(* b (- (* c z) (* i a)))
6.6b	(* (* x z) y)

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

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

48.0ms	(* j (- (* c t) (* i y)))
33.0ms	(* (* t (- x)) a)
23.0ms	(* b (- (* c z) (* i a)))
39.0ms	(* (* x z) y)

series291.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* j (- (* c t) (* i y)))
47.0ms	(* (* t (- x)) a)
121.0ms	(* b (- (* c z) (* i a)))
49.0ms	(* (* x z) y)

simplify3.4s

Counts

101 → 101

Iterations

Iter	Nodes
3	6087
2	1493
1	485
0	188

prune2.0s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 1.8b

regimes1.8s

Accuracy

1.8% (10.0b remaining)

Error of 12.1b against oracle of 2.1b and baseline of 12.3b

bsearch515.0ms

Steps

Iters	Range		Point
10	9.452318793538091e+76	4.656235029794866e+92	6.1461289401070375e+84
9	-6.550840346437757e+56	-4.0712278562526904e+51	-4.362372949169464e+56

simplify16.0ms

Iterations

Iter	Nodes
4	75
3	75
2	71
1	63
0	41

end0.0ms

sample6.8s

Algorithm

intervals

Results

5.3s

19255×

body

valid