Details

sample111.0ms

Algorithm

intervals

Results

61.0ms

570×

body

valid

simplify5.1s

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	677	29
5	1522	29
6	4421	29
done	5000	29

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c t) (* i y))
4.8b	(* x (- (* y z) (* t a)))
5.9b	(* b (- (* c z) (* i a)))
6.0b	(* j (- (* c t) (* i y)))

rewrite151.0ms

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:

9.0ms	(- (* c t) (* i y))
34.0ms	(* x (- (* y z) (* t a)))
56.0ms	(* b (- (* c z) (* i a)))
47.0ms	(* j (- (* c t) (* i y)))

series370.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (* c t) (* i y))
111.0ms	(* x (- (* y z) (* t a)))
103.0ms	(* b (- (* c z) (* i a)))
102.0ms	(* j (- (* c t) (* i y)))

simplify2.4s

Counts

96 → 96

Iterations

Useful iterations: 2 (223.0ms)

Iter	Nodes	Cost
0	166	1155
1	424	1141
2	1218	1007
3	4429	1007
done	5000	1007

prune593.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 5.1b

localize38.0ms

Local error

Found 4 expressions with local error:

4.7b	(* a (* x t))
4.9b	(* x (* z y))
5.9b	(* b (- (* c z) (* i a)))
6.0b	(* j (- (* c t) (* i y)))

rewrite151.0ms

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:

29.0ms	(* a (* x t))
21.0ms	(* x (* z y))
45.0ms	(* b (- (* c z) (* i a)))
51.0ms	(* j (- (* c t) (* i y)))

series226.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* a (* x t))
28.0ms	(* x (* z y))
88.0ms	(* b (- (* c z) (* i a)))
83.0ms	(* j (- (* c t) (* i y)))

simplify1.3s

Counts

96 → 96

Iterations

Useful iterations: 2 (203.0ms)

Iter	Nodes	Cost
0	171	958
1	434	946
2	1366	806
done	5000	806

prune1.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 2.5b

localize55.0ms

Local error

Found 4 expressions with local error:

2.9b	(* (* x z) y)
4.7b	(* a (* x t))
5.9b	(* b (- (* c z) (* i a)))
6.0b	(* j (- (* c t) (* i y)))

rewrite171.0ms

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:

21.0ms	(* (* x z) y)
26.0ms	(* a (* x t))
54.0ms	(* b (- (* c z) (* i a)))
66.0ms	(* j (- (* c t) (* i y)))

series280.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* x z) y)
49.0ms	(* a (* x t))
96.0ms	(* b (- (* c z) (* i a)))
97.0ms	(* j (- (* c t) (* i y)))

simplify1.6s

Counts

96 → 96

Iterations

Useful iterations: 2 (267.0ms)

Iter	Nodes	Cost
0	174	961
1	442	947
2	1458	807
done	5001	807

prune583.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 2.3b

localize60.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (* x z) (* (cbrt y) (cbrt y)))
4.7b	(* a (* x t))
5.9b	(* b (- (* c z) (* i a)))
6.0b	(* j (- (* c t) (* i y)))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

39.0ms	(* (* x z) (* (cbrt y) (cbrt y)))
34.0ms	(* a (* x t))
44.0ms	(* b (- (* c z) (* i a)))
30.0ms	(* j (- (* c t) (* i y)))

series416.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (* x z) (* (cbrt y) (cbrt y)))
35.0ms	(* a (* x t))
120.0ms	(* b (- (* c z) (* i a)))
102.0ms	(* j (- (* c t) (* i y)))

simplify1.5s

Counts

100 → 100

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	187	1125
1	488	1105
2	1614	929
done	5000	923

prune689.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.3b

regimes1.4s

Accuracy

37.6% (6.6b remaining)

Error of 9.0b against oracle of 2.4b and baseline of 12.9b

bsearch488.0ms

Steps

Iters	Range		Point
10	1.729313558093574e-32	2.932995535238689e-21	4.784801129022458e-23
7	-5.966295233117664	-0.3599381302791292	-3.558679195290626

simplify23.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	51	114
1	92	83
2	114	83
3	115	83
done	115	83

end0.0ms

sample6.4s

Algorithm

intervals

Results

4.3s

18970×

body

valid