Details

sample193.0ms

Algorithm

intervals

Results

119.0ms

616×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.5b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* c z) (* i a))
4.5b	(* j (- (* c t) (* i y)))
5.0b	(* b (- (* c z) (* i a)))
7.2b	(* x (- (* y z) (* t a)))

rewrite91.0ms

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:

8.0ms	(- (* c z) (* i a))
25.0ms	(* j (- (* c t) (* i y)))
24.0ms	(* b (- (* c z) (* i a)))
32.0ms	(* x (- (* y z) (* t a)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- (* c z) (* i a))
108.0ms	(* j (- (* c t) (* i y)))
120.0ms	(* b (- (* c z) (* i a)))
121.0ms	(* x (- (* y z) (* t a)))

simplify1.9s

Counts

100 → 100

Iterations

Iter	Nodes
3	4624
2	1224
1	426
0	171

prune1.6s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 8.1b

localize92.0ms

Local error

Found 4 expressions with local error:

6.3b	(cbrt (- (* c z) (* i a)))
6.3b	(cbrt (- (* c z) (* i a)))
6.3b	(cbrt (- (* c z) (* i a)))
7.2b	(* x (- (* y z) (* t a)))

rewrite70.0ms

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--` `insert-posit16` `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 → 67

Calls

4 calls:

6.0ms	(cbrt (- (* c z) (* i a)))
5.0ms	(cbrt (- (* c z) (* i a)))
9.0ms	(cbrt (- (* c z) (* i a)))
49.0ms	(* x (- (* y z) (* t a)))

series622.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (- (* c z) (* i a)))
158.0ms	(cbrt (- (* c z) (* i a)))
201.0ms	(cbrt (- (* c z) (* i a)))
128.0ms	(* x (- (* y z) (* t a)))

simplify1.0s

Counts

79 → 79

Iterations

Iter	Nodes
3	2590
2	832
1	317
0	124

prune1.8s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 8.0b

localize94.0ms

Local error

Found 4 expressions with local error:

6.3b	(* (* y z) x)
6.3b	(cbrt (- (* c z) (* i a)))
6.3b	(cbrt (- (* c z) (* i a)))
6.3b	(cbrt (- (* c z) (* i a)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-div`
4×	`insert-posit16` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip--`
1×	`associate-l` `*-commutative`

Counts

4 → 61

Calls

4 calls:

36.0ms	(* (* y z) x)
10.0ms	(cbrt (- (* c z) (* i a)))
10.0ms	(cbrt (- (* c z) (* i a)))
10.0ms	(cbrt (- (* c z) (* i a)))

series611.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* y z) x)
189.0ms	(cbrt (- (* c z) (* i a)))
189.0ms	(cbrt (- (* c z) (* i a)))
182.0ms	(cbrt (- (* c z) (* i a)))

simplify1.1s

Counts

73 → 73

Iterations

Iter	Nodes
3	2545
2	818
1	282
0	111

prune1.8s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 7.3b

localize84.0ms

Local error

Found 4 expressions with local error:

5.5b	(cbrt (* b (- (* c z) (* i a))))
5.5b	(cbrt (* b (- (* c z) (* i a))))
5.5b	(cbrt (* b (- (* c z) (* i a))))
7.2b	(* x (- (* y z) (* t a)))

rewrite102.0ms

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--` `insert-posit16` `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 → 61

Calls

4 calls:

20.0ms	(cbrt (* b (- (* c z) (* i a))))
22.0ms	(cbrt (* b (- (* c z) (* i a))))
19.0ms	(cbrt (* b (- (* c z) (* i a))))
39.0ms	(* x (- (* y z) (* t a)))

series723.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(cbrt (* b (- (* c z) (* i a))))
183.0ms	(cbrt (* b (- (* c z) (* i a))))
181.0ms	(cbrt (* b (- (* c z) (* i a))))
113.0ms	(* x (- (* y z) (* t a)))

simplify926.0ms

Counts

73 → 73

Iterations

Iter	Nodes
3	2903
2	871
1	315
0	125

prune1.6s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 7.3b

regimes3.1s

Accuracy

-2.1% (4.5b remaining)

Error of 11.4b against oracle of 6.9b and baseline of 11.3b

bsearch640.0ms

Steps

Iters	Range		Point
10	4.3985510072338086e+77	3.97209536889062e+87	9.508763394751354e+86
10	-3.825861612898707e+31	-16143254012342186.0	-3.891701166498266e+24

simplify30.0ms

Iterations

Iter	Nodes
4	82
3	82
2	81
1	75
0	48

end0.0ms

sample7.0s

Algorithm

intervals

Results

5.7s

19095×

body

valid