Details

sample95.0ms

Algorithm

intervals

Results

62.0ms

568×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1898
4	721
3	290
2	96
1	43
0	23

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c t) (* i y))
3.7b	(* j (- (* c t) (* i y)))
6.7b	(* x (- (* y z) (* t a)))
6.8b	(* b (- (* c z) (* i a)))

rewrite124.0ms

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))
43.0ms	(* j (- (* c t) (* i y)))
35.0ms	(* x (- (* y z) (* t a)))
36.0ms	(* b (- (* c z) (* i a)))

series369.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (* c t) (* i y))
100.0ms	(* j (- (* c t) (* i y)))
102.0ms	(* x (- (* y z) (* t a)))
110.0ms	(* b (- (* c z) (* i a)))

simplify1.4s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1441
1	458
0	170

prune902.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 9.4b

localize70.0ms

Local error

Found 4 expressions with local error:

3.7b	(* j (- (* c t) (* i y)))
4.7b	(* (- (* i a)) b)
6.7b	(* x (- (* y z) (* t a)))
7.6b	(* (* c z) b)

rewrite100.0ms

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:

29.0ms	(* j (- (* c t) (* i y)))
17.0ms	(* (- (* i a)) b)
34.0ms	(* x (- (* y z) (* t a)))
17.0ms	(* (* c z) b)

series245.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* j (- (* c t) (* i y)))
39.0ms	(* (- (* i a)) b)
96.0ms	(* x (- (* y z) (* t a)))
36.0ms	(* (* c z) b)

simplify1.2s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	1599
1	477
0	179

prune905.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 6.6b

localize385.0ms

Local error

Found 4 expressions with local error:

3.7b	(* j (- (* c t) (* i y)))
5.5b	(* (- i) (* a b))
6.7b	(* x (- (* y z) (* t a)))
7.6b	(* (* c z) b)

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
17×	`associate-l`
16×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-r`
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`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`flip3--` `flip--` `unswap-sqr`
1×	`distribute-lft-neg-out` `neg-mul-1`

Counts

4 → 96

Calls

4 calls:

30.0ms	(* j (- (* c t) (* i y)))
24.0ms	(* (- i) (* a b))
44.0ms	(* x (- (* y z) (* t a)))
28.0ms	(* (* c z) b)

series245.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* j (- (* c t) (* i y)))
39.0ms	(* (- i) (* a b))
73.0ms	(* x (- (* y z) (* t a)))
31.0ms	(* (* c z) b)

simplify1.2s

Counts

108 → 108

Iterations

Iter	Nodes
done	5002
2	1690
1	515
0	191

prune921.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 6.5b

localize70.0ms

Local error

Found 4 expressions with local error:

7.6b	(* (* c z) b)
7.6b	(cbrt (* x (- (* y z) (* t a))))
7.6b	(cbrt (* x (- (* y z) (* t a))))
7.6b	(cbrt (* x (- (* y z) (* t a))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

29.0ms	(* (* c z) b)
16.0ms	(cbrt (* x (- (* y z) (* t a))))
17.0ms	(cbrt (* x (- (* y z) (* t a))))
17.0ms	(cbrt (* x (- (* y z) (* t a))))

series616.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* c z) b)
176.0ms	(cbrt (* x (- (* y z) (* t a))))
197.0ms	(cbrt (* x (- (* y z) (* t a))))
198.0ms	(cbrt (* x (- (* y z) (* t a))))

simplify1.7s

Counts

67 → 67

Iterations

Iter	Nodes
done	5012
3	3130
2	877
1	283
0	112

prune662.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 6.4b

regimes1.7s

Accuracy

12.4% (5.4b remaining)

Error of 11.5b against oracle of 6.2b and baseline of 12.3b

bsearch152.0ms

Steps

Iters	Range		Point
8	4.099640028933273e-48	6.655262612336934e-44	6.532769285011378e-44

simplify14.0ms

Iterations

Iter	Nodes
done	81
3	81
2	75
1	65
0	39

end0.0ms

sample4.1s

Algorithm

intervals

Results

3.2s

19161×

body

valid