Details

sample196.0ms

Algorithm

intervals

Results

120.0ms

641×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

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

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
3.5b	(* b (- (* c z) (* i a)))
4.2b	(* x (- (* y z) (* t a)))
4.5b	(* j (- (* c t) (* i y)))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`associate-*r/`
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`
8×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`associate--l+` `frac-sub` `associate--r+`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 96

Calls

4 calls:

41.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
28.0ms	(* b (- (* c z) (* i a)))
21.0ms	(* x (- (* y z) (* t a)))
54.0ms	(* j (- (* c t) (* i y)))

series637.0ms

Counts

4 → 12

Calls

4 calls:

371.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
89.0ms	(* b (- (* c z) (* i a)))
88.0ms	(* x (- (* y z) (* t a)))
89.0ms	(* j (- (* c t) (* i y)))

simplify646.0ms

Counts

108 → 108

Iterations

Iter	Nodes
2	2118
1	587
0	204

prune2.4s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 5.3b

localize77.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (cbrt b) (- (* c z) (* i a)))
2.2b	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
4.2b	(* x (- (* y z) (* t a)))
4.5b	(* j (- (* c t) (* i y)))

rewrite208.0ms

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` `flip--` `add-log-exp` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

39.0ms	(* (cbrt b) (- (* c z) (* i a)))
85.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
37.0ms	(* x (- (* y z) (* t a)))
45.0ms	(* j (- (* c t) (* i y)))

series712.0ms

Counts

4 → 12

Calls

4 calls:

363.0ms	(* (cbrt b) (- (* c z) (* i a)))
151.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
108.0ms	(* x (- (* y z) (* t a)))
90.0ms	(* j (- (* c t) (* i y)))

simplify3.9s

Counts

120 → 120

Iterations

Iter	Nodes
3	8890
2	1957
1	596
0	210

prune2.6s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 4.1b

localize97.0ms

Local error

Found 4 expressions with local error:

2.1b	(* (cbrt x) (- (* y z) (* t a)))
2.4b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
3.5b	(* b (- (* c z) (* i a)))
4.5b	(* 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` `flip--` `add-log-exp` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

38.0ms	(* (cbrt x) (- (* y z) (* t a)))
93.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
23.0ms	(* b (- (* c z) (* i a)))
25.0ms	(* j (- (* c t) (* i y)))

series724.0ms

Counts

4 → 12

Calls

4 calls:

379.0ms	(* (cbrt x) (- (* y z) (* t a)))
131.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
106.0ms	(* b (- (* c z) (* i a)))
107.0ms	(* j (- (* c t) (* i y)))

simplify3.8s

Counts

120 → 120

Iterations

Iter	Nodes
3	8144
2	1939
1	587
0	209

prune2.6s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 2.8b

localize70.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
2.8b	(* (cbrt j) (- (* c t) (* i y)))
3.5b	(* b (- (* c z) (* i a)))
4.2b	(* x (- (* y z) (* t a)))

rewrite153.0ms

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` `flip--` `add-log-exp` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

61.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
26.0ms	(* (cbrt j) (- (* c t) (* i y)))
43.0ms	(* b (- (* c z) (* i a)))
21.0ms	(* x (- (* y z) (* t a)))

series761.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
414.0ms	(* (cbrt j) (- (* c t) (* i y)))
114.0ms	(* b (- (* c z) (* i a)))
108.0ms	(* x (- (* y z) (* t a)))

simplify4.2s

Counts

120 → 120

Iterations

Iter	Nodes
3	8485
2	1931
1	598
0	210

prune2.8s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 2.3b

regimes2.6s

Accuracy

27.9% (6.2b remaining)

Error of 9.0b against oracle of 2.8b and baseline of 11.4b

bsearch560.0ms

Steps

Iters	Range		Point
11	5.328931957533761e-48	1.0057443417951957e-28	5.639644518100128e-34
9	-9.564973266151328e-91	-5.910091729542715e-97	-2.3850498511755527e-92

simplify17.0ms

Iterations

Iter	Nodes
4	91
3	91
2	77
1	69
0	42

end0.0ms

sample6.8s

Algorithm

intervals

Results

4.5s

19072×

body

valid