Details

sample233.0ms

Algorithm

intervals

Results

102.0ms

664×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	29
1	43	29
2	96	29
3	290	29
4	969	29
done	5001	29

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize68.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c z) (* i a))
4.9b	(* j (- (* c t) (* i y)))
5.6b	(* b (- (* c z) (* i a)))
5.8b	(* x (- (* y z) (* t a)))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

13.0ms	(- (* c z) (* i a))
44.0ms	(* j (- (* c t) (* i y)))
54.0ms	(* b (- (* c z) (* i a)))
46.0ms	(* x (- (* y z) (* t a)))

series435.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (* c z) (* i a))
127.0ms	(* j (- (* c t) (* i y)))
123.0ms	(* b (- (* c z) (* i a)))
118.0ms	(* x (- (* y z) (* t a)))

simplify1.3s

Counts

96 → 96

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	167	1155
1	461	1141
2	1870	1015
done	5000	1007

prune1.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.0b

localize84.0ms

Local error

Found 4 expressions with local error:

5.4b	(* t (* j c))
5.6b	(* b (- (* c z) (* i a)))
5.8b	(* x (- (* y z) (* t a)))
6.0b	(* i (* j y))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

34.0ms	(* t (* j c))
58.0ms	(* b (- (* c z) (* i a)))
52.0ms	(* x (- (* y z) (* t a)))
31.0ms	(* i (* j y))

series322.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* t (* j c))
118.0ms	(* b (- (* c z) (* i a)))
119.0ms	(* x (- (* y z) (* t a)))
42.0ms	(* i (* j y))

simplify1.4s

Counts

96 → 96

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	171	958
1	458	946
2	1735	814
done	5000	806

prune1.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 4.0b

localize67.0ms

Local error

Found 4 expressions with local error:

5.4b	(* (* t j) c)
5.6b	(* b (- (* c z) (* i a)))
5.8b	(* x (- (* y z) (* t a)))
6.0b	(* i (* j y))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

30.0ms	(* (* t j) c)
47.0ms	(* b (- (* c z) (* i a)))
55.0ms	(* x (- (* y z) (* t a)))
27.0ms	(* i (* j y))

series329.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (* t j) c)
111.0ms	(* b (- (* c z) (* i a)))
130.0ms	(* x (- (* y z) (* t a)))
44.0ms	(* i (* j y))

simplify1.7s

Counts

96 → 96

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	174	961
1	474	947
2	2217	821
done	5000	815

prune1.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.0b

localize74.0ms

Local error

Found 4 expressions with local error:

5.4b	(* (* t j) c)
5.6b	(* b (- (* c z) (* i a)))
5.8b	(* x (- (* y z) (* t a)))
6.3b	(* (* i j) y)

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

29.0ms	(* (* t j) c)
45.0ms	(* b (- (* c z) (* i a)))
55.0ms	(* x (- (* y z) (* t a)))
29.0ms	(* (* i j) y)

series339.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* t j) c)
122.0ms	(* b (- (* c z) (* i a)))
125.0ms	(* x (- (* y z) (* t a)))
44.0ms	(* (* i j) y)

simplify2.0s

Counts

96 → 96

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	176	964
1	482	948
2	2369	818
done	5002	812

prune981.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.0b

regimes3.3s

Accuracy

10.1% (8.4b remaining)

Error of 12.0b against oracle of 3.6b and baseline of 12.9b

bsearch689.0ms

Steps

Iters	Range	Point
8	4.9034729207726525e-220	2.1227629598124326e-217	4.3576839570294526e-218
3	2.3048455278633623e-296	3.351263457343483e-296	2.6829757801339493e-296
9	-5.320162488446726e+153	-4.3604700821658653e+145	-2.8863398083870065e+153

Iters

Range

Point

4.9034729207726525e-220

2.1227629598124326e-217

4.3576839570294526e-218

2.3048455278633623e-296

3.351263457343483e-296

2.6829757801339493e-296

-5.320162488446726e+153

-4.3604700821658653e+145

-2.8863398083870065e+153

simplify38.0ms

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	64	154
1	108	153
2	135	153
done	135	153

end0.0ms

sample7.7s

Algorithm

intervals

Results

5.1s

18880×

body

valid