Details

sample100.0ms

Algorithm

intervals

Results

52.0ms

589×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1885
4	721
3	290
2	96
1	43
0	23

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize83.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c a) (* y i))
3.6b	(* x (- (* y z) (* t a)))
4.3b	(* b (- (* c z) (* t i)))
4.6b	(* j (- (* c a) (* y i)))

rewrite122.0ms

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--` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 84

Calls

4 calls:

6.0ms	(- (* c a) (* y i))
35.0ms	(* x (- (* y z) (* t a)))
35.0ms	(* b (- (* c z) (* t i)))
43.0ms	(* j (- (* c a) (* y i)))

series382.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (* c a) (* y i))
120.0ms	(* x (- (* y z) (* t a)))
110.0ms	(* b (- (* c z) (* t i)))
86.0ms	(* j (- (* c a) (* y i)))

simplify1.4s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1438
1	456
0	167

prune1.2s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 6.7b

localize64.0ms

Local error

Found 4 expressions with local error:

4.3b	(* b (- (* c z) (* t i)))
5.8b	(cbrt (- (* c a) (* y i)))
5.8b	(cbrt (- (* c a) (* y i)))
5.8b	(cbrt (- (* c a) (* y i)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `cbrt-div` `add-cbrt-cube` `add-exp-log`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

39.0ms	(* b (- (* c z) (* t i)))
8.0ms	(cbrt (- (* c a) (* y i)))
22.0ms	(cbrt (- (* c a) (* y i)))
9.0ms	(cbrt (- (* c a) (* y i)))

series598.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* b (- (* c z) (* t i)))
203.0ms	(cbrt (- (* c a) (* y i)))
161.0ms	(cbrt (- (* c a) (* y i)))
157.0ms	(cbrt (- (* c a) (* y i)))

simplify2.2s

Counts

75 → 75

Iterations

Iter	Nodes
done	5007
3	3057
2	918
1	325
0	122

prune1.1s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 6.7b

localize119.0ms

Local error

Found 4 expressions with local error:

4.6b	(* j (- (* c a) (* y i)))
6.1b	(cbrt (* x (- (* y z) (* t a))))
6.1b	(cbrt (* x (- (* y z) (* t a))))
6.1b	(cbrt (* x (- (* y z) (* t a))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `associate-*r/`
6×	`pow1` `cbrt-div` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`flip3--` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 57

Calls

4 calls:

30.0ms	(* j (- (* c a) (* y i)))
16.0ms	(cbrt (* x (- (* y z) (* t a))))
15.0ms	(cbrt (* x (- (* y z) (* t a))))
13.0ms	(cbrt (* x (- (* y z) (* t a))))

series657.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* j (- (* c a) (* y i)))
189.0ms	(cbrt (* x (- (* y z) (* t a))))
167.0ms	(cbrt (* x (- (* y z) (* t a))))
202.0ms	(cbrt (* x (- (* y z) (* t a))))

simplify2.4s

Counts

69 → 69

Iterations

Iter	Nodes
done	5005
3	3293
2	954
1	322
0	123

prune1.2s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 6.7b

localize159.0ms

Local error

Found 4 expressions with local error:

4.6b	(* j (- (* c a) (* y i)))
5.0b	(cbrt (- (* y z) (* t a)))
6.1b	(cbrt (* x (- (* y z) (* t a))))
6.1b	(cbrt (* x (- (* y z) (* t a))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `cbrt-div` `add-cbrt-cube` `associate-*r/` `add-exp-log`
5×	`cbrt-prod`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 59

Calls

4 calls:

28.0ms	(* j (- (* c a) (* y i)))
9.0ms	(cbrt (- (* y z) (* t a)))
17.0ms	(cbrt (* x (- (* y z) (* t a))))
16.0ms	(cbrt (* x (- (* y z) (* t a))))

series699.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* j (- (* c a) (* y i)))
183.0ms	(cbrt (- (* y z) (* t a)))
209.0ms	(cbrt (* x (- (* y z) (* t a))))
200.0ms	(cbrt (* x (- (* y z) (* t a))))

simplify2.5s

Counts

71 → 71

Iterations

Iter	Nodes
done	5004
3	3966
2	1134
1	395
0	156

prune992.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 6.7b

regimes2.6s

Accuracy

6.4% (4.0b remaining)

Error of 12.3b against oracle of 8.4b and baseline of 12.6b

bsearch290.0ms

Steps

Iters	Range		Point
10	4.3835944160149243e-246	7.023730223516743e-233	4.199087590050387e-242
7	-5.97969038749184e-286	-1.3917450900346442e-287	-1.7693646136217336e-286

simplify9.0ms

Iterations

Iter	Nodes
done	56
1	56
0	40

end0.0ms

sample4.7s

Algorithm

intervals

Results

3.1s

19225×

body

valid