Details

sample130.0ms

Algorithm

intervals

Results

96.0ms

647×

body

valid

simplify2.4s

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: 10.6b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) (* t a))
3.7b	(* x (- (* y z) (* t a)))
4.6b	(* j (- (* c t) (* i y)))
6.4b	(* b (- (* c z) (* i a)))

rewrite129.0ms

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	(- (* y z) (* t a))
27.0ms	(* x (- (* y z) (* t a)))
50.0ms	(* j (- (* c t) (* i y)))
44.0ms	(* b (- (* c z) (* i a)))

series342.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* y z) (* t a))
99.0ms	(* x (- (* y z) (* t a)))
112.0ms	(* j (- (* c t) (* i y)))
82.0ms	(* b (- (* c z) (* i a)))

simplify1.3s

Counts

100 → 100

Iterations

Iter	Nodes
3	4221
2	1175
1	423
0	170

prune920.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 7.7b

localize69.0ms

Local error

Found 4 expressions with local error:

4.4b	(* x (* y z))
4.4b	(* x (- (* t a)))
4.6b	(* j (- (* c t) (* i y)))
6.4b	(* b (- (* c z) (* i a)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`associate-r`
12×	`associate-l`
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-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 92

Calls

4 calls:

23.0ms	(* x (* y z))
17.0ms	(* x (- (* t a)))
38.0ms	(* j (- (* c t) (* i y)))
32.0ms	(* b (- (* c z) (* i a)))

series295.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* x (* y z))
38.0ms	(* x (- (* t a)))
108.0ms	(* j (- (* c t) (* i y)))
109.0ms	(* b (- (* c z) (* i a)))

simplify1.9s

Counts

104 → 104

Iterations

Iter	Nodes
3	5538
2	1424
1	446
0	178

prune1.0s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 5.8b

localize76.0ms

Local error

Found 4 expressions with local error:

3.0b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (* y z)))
4.4b	(* x (- (* t a)))
4.6b	(* j (- (* c t) (* i y)))
6.4b	(* b (- (* c z) (* i a)))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1` `add-exp-log`
21×	`add-cbrt-cube`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
16×	`add-sqr-sqrt`
13×	`associate-r`
10×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
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-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 102

Calls

4 calls:

76.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (* y z)))
10.0ms	(* x (- (* t a)))
40.0ms	(* j (- (* c t) (* i y)))
55.0ms	(* b (- (* c z) (* i a)))

series280.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (* y z)))
32.0ms	(* x (- (* t a)))
92.0ms	(* j (- (* c t) (* i y)))
94.0ms	(* b (- (* c z) (* i a)))

simplify2.8s

Counts

114 → 114

Iterations

Iter	Nodes
3	6890
2	1711
1	509
0	199

prune993.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 5.8b

localize105.0ms

Local error

Found 4 expressions with local error:

6.4b	(* b (- (* c z) (* i a)))
14.6b	(cbrt (* x (* y z)))
14.6b	(cbrt (* x (* y z)))
14.6b	(cbrt (* x (* y z)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

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

series459.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* b (- (* c z) (* i a)))
105.0ms	(cbrt (* x (* y z)))
121.0ms	(cbrt (* x (* y z)))
135.0ms	(cbrt (* x (* y z)))

simplify3.4s

Counts

67 → 67

Iterations

Iter	Nodes
4	8548
3	1991
2	623
1	245
0	104

prune706.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 5.8b

regimes2.2s

Accuracy

-7.9% (6.1b remaining)

Error of 11.8b against oracle of 5.7b and baseline of 11.3b

bsearch378.0ms

Steps

Iters	Range		Point
8	3.607155687753861e-252	4.702129530191612e-249	1.4812126748566952e-249
8	-1.8290665184523229e-125	-8.300361803911635e-129	-9.427248904452578e-129

simplify25.0ms

Iterations

Iter	Nodes
4	77
3	77
2	76
1	70
0	45

end0.0ms

sample6.7s

Algorithm

intervals

Results

5.3s

18944×

body

valid