Details

sample236.0ms

Algorithm

intervals

Results

180.0ms

582×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

localize56.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* c t) (* i y))
5.2b	(* j (- (* c t) (* i y)))
5.4b	(* x (- (* y z) (* t a)))
6.1b	(* b (- (* c z) (* i a)))

rewrite95.0ms

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 t) (* i y))
30.0ms	(* j (- (* c t) (* i y)))
26.0ms	(* x (- (* y z) (* t a)))
30.0ms	(* b (- (* c z) (* i a)))

series345.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* c t) (* i y))
116.0ms	(* j (- (* c t) (* i y)))
85.0ms	(* x (- (* y z) (* t a)))
96.0ms	(* b (- (* c z) (* i a)))

simplify2.0s

Counts

100 → 100

Iterations

Iter	Nodes
3	4450
2	1219
1	424
0	170

prune2.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 6.6b

localize87.0ms

Local error

Found 4 expressions with local error:

5.6b	(cbrt (* b (- (* c z) (* i a))))
6.1b	(* b (- (* c z) (* i a)))
6.1b	(* b (- (* c z) (* i a)))
6.1b	(* b (- (* c z) (* i a)))

rewrite100.0ms

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`
8×	`associate-*r/`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
4×	`flip3--` `insert-posit16` `flip--` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-div`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 87

Calls

4 calls:

12.0ms	(cbrt (* b (- (* c z) (* i a))))
34.0ms	(* b (- (* c z) (* i a)))
24.0ms	(* b (- (* c z) (* i a)))
29.0ms	(* b (- (* c z) (* i a)))

series450.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt (* b (- (* c z) (* i a))))
84.0ms	(* b (- (* c z) (* i a)))
98.0ms	(* b (- (* c z) (* i a)))
90.0ms	(* b (- (* c z) (* i a)))

simplify800.0ms

Counts

99 → 99

Iterations

Iter	Nodes
3	2171
2	680
1	256
0	105

prune2.4s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 6.6b

localize126.0ms

Local error

Found 4 expressions with local error:

5.6b	(cbrt (* b (- (* c z) (* i a))))
6.1b	(* b (- (* c z) (* i a)))
6.1b	(* b (- (* c z) (* i a)))
7.4b	(cbrt (- (* c z) (* i a)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`associate-r` `associate-l` `associate-*r/`
4×	`cbrt-prod` `distribute-rgt-in` `cbrt-div` `sub-neg` `distribute-lft-in` `flip3--` `insert-posit16` `flip--` `add-log-exp`
2×	`pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

15.0ms	(cbrt (* b (- (* c z) (* i a))))
24.0ms	(* b (- (* c z) (* i a)))
50.0ms	(* b (- (* c z) (* i a)))
11.0ms	(cbrt (- (* c z) (* i a)))

series530.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(cbrt (* b (- (* c z) (* i a))))
103.0ms	(* b (- (* c z) (* i a)))
84.0ms	(* b (- (* c z) (* i a)))
179.0ms	(cbrt (- (* c z) (* i a)))

simplify918.0ms

Counts

88 → 88

Iterations

Iter	Nodes
3	2694
2	854
1	332
0	137

prune2.3s

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 6.6b

localize70.0ms

Local error

Found 4 expressions with local error:

5.6b	(cbrt (* x (- (* y z) (* t a))))
5.6b	(cbrt (* x (- (* y z) (* t a))))
5.6b	(cbrt (* x (- (* y z) (* t a))))
6.1b	(* b (- (* c z) (* i a)))

rewrite62.0ms

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:

10.0ms	(cbrt (* x (- (* y z) (* t a))))
12.0ms	(cbrt (* x (- (* y z) (* t a))))
14.0ms	(cbrt (* x (- (* y z) (* t a))))
24.0ms	(* b (- (* c z) (* i a)))

series614.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt (* x (- (* y z) (* t a))))
181.0ms	(cbrt (* x (- (* y z) (* t a))))
151.0ms	(cbrt (* x (- (* y z) (* t a))))
93.0ms	(* b (- (* c z) (* i a)))

simplify872.0ms

Counts

73 → 73

Iterations

Iter	Nodes
3	2884
2	872
1	313
0	125

prune1.5s

Pruning

20 alts after pruning (17 fresh and 3 done)

Merged error: 6.6b

regimes2.3s

Accuracy

7.5% (3.6b remaining)

Error of 11.8b against oracle of 8.2b and baseline of 12.1b

bsearch453.0ms

Steps

Iters	Range		Point
8	1.5311073508873896e-198	3.075247865437131e-195	4.606925696387801e-196
10	-2.1620635969309803e-217	-1.8637706377146918e-231	-1.0204593285382147e-230

simplify19.0ms

Iterations

Iter	Nodes
2	57
1	57
0	41

end0.0ms

sample6.7s

Algorithm

intervals

Results

5.0s

18864×

body

valid