Details

sample155.0ms

Algorithm

intervals

Results

113.0ms

605×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.5b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
3.8b	(* j (- (* c t) (* i y)))
4.2b	(* b (- (* c z) (* i a)))
5.2b	(* x (- (* y z) (* t a)))

rewrite154.0ms

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` `insert-posit16` `associate--r+`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 100

Calls

4 calls:

52.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
34.0ms	(* j (- (* c t) (* i y)))
30.0ms	(* b (- (* c z) (* i a)))
35.0ms	(* x (- (* y z) (* t a)))

series659.0ms

Counts

4 → 12

Calls

4 calls:

343.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
121.0ms	(* j (- (* c t) (* i y)))
92.0ms	(* b (- (* c z) (* i a)))
103.0ms	(* x (- (* y z) (* t a)))

simplify1.0s

Counts

112 → 112

Iterations

Iter	Nodes
2	2073
1	591
0	208

prune2.4s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 5.7b

localize69.0ms

Local error

Found 4 expressions with local error:

4.2b	(* b (- (* c z) (* i a)))
4.6b	(* (* c t) j)
4.9b	(* (- (* i y)) j)
5.2b	(* x (- (* y z) (* t a)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`associate-l`
12×	`associate-r`
11×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`

Counts

4 → 92

Calls

4 calls:

44.0ms	(* b (- (* c z) (* i a)))
29.0ms	(* (* c t) j)
18.0ms	(* (- (* i y)) j)
26.0ms	(* x (- (* y z) (* t a)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* b (- (* c z) (* i a)))
45.0ms	(* (* c t) j)
34.0ms	(* (- (* i y)) j)
114.0ms	(* x (- (* y z) (* t a)))

simplify3.1s

Counts

104 → 104

Iterations

Iter	Nodes
3	5648
2	1471
1	464
0	179

prune2.3s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.8b

localize59.0ms

Local error

Found 4 expressions with local error:

4.2b	(* b (- (* c z) (* i a)))
4.6b	(* (* c t) j)
4.8b	(* i (* (- y) j))
5.2b	(* x (- (* y z) (* t a)))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

26.0ms	(* b (- (* c z) (* i a)))
29.0ms	(* (* c t) j)
39.0ms	(* i (* (- y) j))
34.0ms	(* x (- (* y z) (* t a)))

series277.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* b (- (* c z) (* i a)))
30.0ms	(* (* c t) j)
35.0ms	(* i (* (- y) j))
108.0ms	(* x (- (* y z) (* t a)))

simplify2.5s

Counts

101 → 101

Iterations

Iter	Nodes
3	5777
2	1453
1	477
0	184

prune2.3s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.8b

localize84.0ms

Local error

Found 4 expressions with local error:

5.2b	(* x (- (* y z) (* t a)))
6.3b	(cbrt (* b (- (* c z) (* i a))))
6.3b	(cbrt (* b (- (* c z) (* i a))))
6.3b	(cbrt (* b (- (* c z) (* i a))))

rewrite61.0ms

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:

27.0ms	(* x (- (* y z) (* t a)))
13.0ms	(cbrt (* b (- (* c z) (* i a))))
10.0ms	(cbrt (* b (- (* c z) (* i a))))
9.0ms	(cbrt (* b (- (* c z) (* i a))))

series707.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* x (- (* y z) (* t a)))
201.0ms	(cbrt (* b (- (* c z) (* i a))))
191.0ms	(cbrt (* b (- (* c z) (* i a))))
202.0ms	(cbrt (* b (- (* c z) (* i a))))

simplify1.2s

Counts

73 → 73

Iterations

Iter	Nodes
3	2995
2	879
1	316
0	125

prune1.8s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.8b

regimes2.1s

Accuracy

11.5% (6.8b remaining)

Error of 11.4b against oracle of 4.6b and baseline of 12.2b

bsearch341.0ms

Steps

Iters	Range		Point
6	2.3029628849220265e-72	1.6720619674082337e-71	2.3530021940861816e-72
9	-9.608885849275071e-136	-4.720599882719411e-142	-4.6583099023676616e-141

simplify28.0ms

Iterations

Iter	Nodes
4	77
3	77
2	73
1	65
0	41

end0.0ms

sample6.8s

Algorithm

intervals

Results

5.4s

19210×

body

valid