Details

sample239.0ms

Algorithm

intervals

Results

180.0ms

664×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c t) (* i y))
4.9b	(* j (- (* c t) (* i y)))
6.6b	(* x (- (* y z) (* t a)))
6.8b	(* b (- (* c z) (* i a)))

rewrite131.0ms

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	(- (* c t) (* i y))
32.0ms	(* j (- (* c t) (* i y)))
43.0ms	(* x (- (* y z) (* t a)))
48.0ms	(* b (- (* c z) (* i a)))

series336.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (* c t) (* i y))
99.0ms	(* j (- (* c t) (* i y)))
76.0ms	(* x (- (* y z) (* t a)))
88.0ms	(* b (- (* c z) (* i a)))

simplify1.6s

Counts

100 → 100

Iterations

Iter	Nodes
3	4450
2	1219
1	424
0	170

prune2.0s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 9.1b

localize84.0ms

Local error

Found 4 expressions with local error:

4.9b	(* j (- (* c t) (* i y)))
6.0b	(* (* c z) b)
6.6b	(* x (- (* y z) (* t a)))
7.1b	(* (- (* i a)) b)

rewrite109.0ms

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:

48.0ms	(* j (- (* c t) (* i y)))
28.0ms	(* (* c z) b)
23.0ms	(* x (- (* y z) (* t a)))
9.0ms	(* (- (* i a)) b)

series276.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* j (- (* c t) (* i y)))
45.0ms	(* (* c z) b)
106.0ms	(* x (- (* y z) (* t a)))
38.0ms	(* (- (* i a)) b)

simplify3.0s

Counts

104 → 104

Iterations

Iter	Nodes
3	5565
2	1456
1	463
0	179

prune2.5s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 7.4b

localize55.0ms

Local error

Found 4 expressions with local error:

4.1b	(* (- i) (* a b))
4.9b	(* j (- (* c t) (* i y)))
6.0b	(* (* c z) b)
6.6b	(* x (- (* y z) (* t a)))

rewrite130.0ms

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:

26.0ms	(* (- i) (* a b))
28.0ms	(* j (- (* c t) (* i y)))
29.0ms	(* (* c z) b)
45.0ms	(* x (- (* y z) (* t a)))

series243.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (- i) (* a b))
88.0ms	(* j (- (* c t) (* i y)))
28.0ms	(* (* c z) b)
90.0ms	(* x (- (* y z) (* t a)))

simplify2.3s

Counts

108 → 108

Iterations

Iter	Nodes
3	5813
2	1525
1	497
0	191

prune2.4s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.7b

localize82.0ms

Local error

Found 4 expressions with local error:

6.3b	(cbrt (* j (- (* c t) (* i y))))
6.3b	(cbrt (* j (- (* c t) (* i y))))
6.3b	(cbrt (* j (- (* c t) (* i y))))
6.6b	(* x (- (* y z) (* t a)))

rewrite71.0ms

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:

11.0ms	(cbrt (* j (- (* c t) (* i y))))
9.0ms	(cbrt (* j (- (* c t) (* i y))))
9.0ms	(cbrt (* j (- (* c t) (* i y))))
41.0ms	(* x (- (* y z) (* t a)))

series617.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (* j (- (* c t) (* i y))))
172.0ms	(cbrt (* j (- (* c t) (* i y))))
203.0ms	(cbrt (* j (- (* c t) (* i y))))
87.0ms	(* x (- (* y z) (* t a)))

simplify964.0ms

Counts

73 → 73

Iterations

Iter	Nodes
3	2912
2	874
1	315
0	125

prune2.0s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 6.7b

regimes2.7s

Accuracy

33.2% (4.2b remaining)

Error of 10.2b against oracle of 6.0b and baseline of 12.3b

bsearch475.0ms

Steps

Iters	Range		Point
8	68616421768.732285	2214039487661978.5	1004446610222.8837
8	-2.2748616229839222e-67	-3.5071308172392314e-72	-1.8579902760796692e-67

simplify15.0ms

Iterations

Iter	Nodes
4	83
3	83
2	77
1	67
0	39

end0.0ms

sample6.5s

Algorithm

intervals

Results

4.3s

19070×

body

valid