Details

sample140.0ms

Algorithm

intervals

Results

106.0ms

635×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	2010
6	2010
5	1898
4	721
3	290
2	96
1	43
0	23

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize66.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c t) (* i y))
3.2b	(* x (- (* y z) (* t a)))
6.5b	(* b (- (* c z) (* i a)))
6.5b	(* j (- (* c t) (* i y)))

rewrite114.0ms

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:

11.0ms	(- (* c t) (* i y))
34.0ms	(* x (- (* y z) (* t a)))
34.0ms	(* b (- (* c z) (* i a)))
34.0ms	(* j (- (* c t) (* i y)))

series354.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (* c t) (* i y))
93.0ms	(* x (- (* y z) (* t a)))
99.0ms	(* b (- (* c z) (* i a)))
103.0ms	(* j (- (* c t) (* i y)))

simplify1.0s

Counts

100 → 100

Iterations

Iter	Nodes
done	2000
3	2000
2	1441
1	456
0	170

prune1.8s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 7.2b

localize70.0ms

Local error

Found 4 expressions with local error:

3.4b	(* (* y z) x)
3.6b	(* (- (* t a)) x)
6.5b	(* b (- (* c z) (* i a)))
6.5b	(* j (- (* c t) (* i y)))

rewrite111.0ms

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:

14.0ms	(* (* y z) x)
10.0ms	(* (- (* t a)) x)
40.0ms	(* b (- (* c z) (* i a)))
45.0ms	(* j (- (* c t) (* i y)))

series253.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* y z) x)
44.0ms	(* (- (* t a)) x)
79.0ms	(* b (- (* c z) (* i a)))
101.0ms	(* j (- (* c t) (* i y)))

simplify1.1s

Counts

104 → 104

Iterations

Iter	Nodes
done	2007
3	2007
2	1583
1	482
0	179

prune2.0s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 4.6b

localize61.0ms

Local error

Found 4 expressions with local error:

6.5b	(* j (- (* c t) (* i y)))
15.2b	(cbrt (* (- (* t a)) x))
15.2b	(cbrt (* (- (* t a)) x))
15.2b	(cbrt (* (- (* t a)) x))

rewrite46.0ms

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:

27.0ms	(* j (- (* c t) (* i y)))
5.0ms	(cbrt (* (- (* t a)) x))
5.0ms	(cbrt (* (- (* t a)) x))
8.0ms	(cbrt (* (- (* t a)) x))

series438.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* j (- (* c t) (* i y)))
117.0ms	(cbrt (* (- (* t a)) x))
110.0ms	(cbrt (* (- (* t a)) x))
121.0ms	(cbrt (* (- (* t a)) x))

simplify946.0ms

Counts

67 → 67

Iterations

Iter	Nodes
done	2022
3	2022
2	744
1	264
0	106

prune1.3s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 4.6b

localize80.0ms

Local error

Found 4 expressions with local error:

3.6b	(* (- (* t a)) x)
5.4b	(* z (* b c))
6.1b	(* a (* i b))
6.5b	(* j (- (* c t) (* i y)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

10.0ms	(* (- (* t a)) x)
19.0ms	(* z (* b c))
25.0ms	(* a (* i b))
24.0ms	(* j (- (* c t) (* i y)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (- (* t a)) x)
32.0ms	(* z (* b c))
32.0ms	(* a (* i b))
85.0ms	(* j (- (* c t) (* i y)))

simplify1.1s

Counts

98 → 98

Iterations

Iter	Nodes
done	2000
3	2000
2	1344
1	421
0	162

prune2.4s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.3b

regimes2.3s

Accuracy

38.4% (5.0b remaining)

Error of 8.4b against oracle of 3.4b and baseline of 11.5b

bsearch319.0ms

Steps

Iters	Range		Point
4	9.030122453856504e+30	1.3437379122393966e+31	1.119555389693808e+31
8	-5.720726532796962e-54	-7.172078756573361e-57	-2.286833836544238e-54

simplify33.0ms

Iterations

Iter	Nodes
done	84
3	84
2	83
1	77
0	48

end0.0ms

sample6.5s

Algorithm

intervals

Results

5.0s

19002×

body

valid