Details

sample185.0ms

Algorithm

intervals

Results

136.0ms

636×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	950
3	290
2	96
1	43
0	23

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.4b	(- (* c z) (* i a))
3.3b	(* b (- (* c z) (* i a)))
6.6b	(* j (- (* c t) (* i y)))
6.6b	(* x (- (* y z) (* t a)))

rewrite107.0ms

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:

7.0ms	(- (* c z) (* i a))
30.0ms	(* b (- (* c z) (* i a)))
36.0ms	(* j (- (* c t) (* i y)))
34.0ms	(* x (- (* y z) (* t a)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (* c z) (* i a))
102.0ms	(* b (- (* c z) (* i a)))
79.0ms	(* j (- (* c t) (* i y)))
90.0ms	(* x (- (* y z) (* t a)))

simplify1.3s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1811
1	461
0	171

prune916.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 11.0b

localize80.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (cbrt b) (- (* c z) (* i a)))
2.6b	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
6.6b	(* j (- (* c t) (* i y)))
6.6b	(* x (- (* y z) (* t a)))

rewrite190.0ms

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:

38.0ms	(* (cbrt b) (- (* c z) (* i a)))
75.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
37.0ms	(* j (- (* c t) (* i y)))
38.0ms	(* x (- (* y z) (* t a)))

series558.0ms

Counts

4 → 12

Calls

4 calls:

276.0ms	(* (cbrt b) (- (* c z) (* i a)))
115.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
73.0ms	(* j (- (* c t) (* i y)))
93.0ms	(* x (- (* y z) (* t a)))

simplify1.8s

Counts

124 → 124

Iterations

Iter	Nodes
done	5002
2	3325
1	625
0	214

prune1.0s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 8.5b

localize83.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
5.2b	(* a (* x t))
6.6b	(* j (- (* c t) (* i y)))
7.5b	(* x (* z y))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-exp-log`
22×	`add-cbrt-cube`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in` `associate-l`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`sub-neg` `associate-r` `associate-*r/`
4×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`flip3--` `flip--`
1×	`unswap-sqr`

Counts

4 → 96

Calls

4 calls:

54.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
27.0ms	(* a (* x t))
22.0ms	(* j (- (* c t) (* i y)))
14.0ms	(* x (* z y))

series316.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
35.0ms	(* a (* x t))
123.0ms	(* j (- (* c t) (* i y)))
38.0ms	(* x (* z y))

simplify1.4s

Counts

108 → 108

Iterations

Iter	Nodes
done	5001
2	2016
1	545
0	193

prune778.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.1b

localize85.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
5.2b	(* a (* x t))
5.3b	(* (* x z) y)
6.6b	(* j (- (* c t) (* i y)))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-exp-log`
22×	`add-cbrt-cube`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in`
8×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
6×	`sub-neg` `associate-*r/`
4×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`flip3--` `flip--`
1×	`unswap-sqr`

Counts

4 → 96

Calls

4 calls:

58.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
22.0ms	(* a (* x t))
22.0ms	(* (* x z) y)
38.0ms	(* j (- (* c t) (* i y)))

series300.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
34.0ms	(* a (* x t))
29.0ms	(* (* x z) y)
85.0ms	(* j (- (* c t) (* i y)))

simplify1.4s

Counts

108 → 108

Iterations

Iter	Nodes
done	5002
2	2414
1	562
0	196

prune768.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 3.8b

regimes1.8s

Accuracy

4.4% (8.5b remaining)

Error of 12.0b against oracle of 3.6b and baseline of 12.4b

bsearch845.0ms

Steps

Iters	Range		Point
7	2.21085328682592e+272	3.935737718269486e+273	3.900370725857475e+273
9	1.3743888834015453e+221	5.185479944530298e+227	2.2139058582803834e+221
9	1.8853947983633037e-263	7.118337579494662e-257	1.0422704831254364e-259
9	-2.973064295167824e+173	-4.3508514818428127e+164	-3.596778456688688e+165

simplify340.0ms

Iterations

Iter	Nodes
done	96
2	96
1	87
0	57

end0.0ms

sample5.9s

Algorithm

intervals

Results

4.2s

19277×

body

valid