Details

sample146.0ms

Algorithm

intervals

Results

84.0ms

500×

body

valid

simplify5.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	3800
3	809
2	221
1	67
0	28

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* 27.0 j) k)
6.3b	(* t (* (* (* x 18.0) y) z))
6.9b	(* (* (* x 18.0) y) z)

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

14.0ms	(* (* x 18.0) y)
20.0ms	(* (* 27.0 j) k)
153.0ms	(* t (* (* (* x 18.0) y) z))
82.0ms	(* (* (* x 18.0) y) z)

series188.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* x 18.0) y)
25.0ms	(* (* 27.0 j) k)
82.0ms	(* t (* (* (* x 18.0) y) z))
41.0ms	(* (* (* x 18.0) y) z)

simplify2.3s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2779
1	374
0	142

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.3b

localize68.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 27.0 j) k)
0.3b	(* 18.0 (* t (* x (* z y))))
4.7b	(* x (* z y))
6.4b	(* t (* x (* z y)))

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-l`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

18.0ms	(* (* 27.0 j) k)
157.0ms	(* 18.0 (* t (* x (* z y))))
21.0ms	(* x (* z y))
40.0ms	(* t (* x (* z y)))

series248.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* 27.0 j) k)
93.0ms	(* 18.0 (* t (* x (* z y))))
61.0ms	(* x (* z y))
65.0ms	(* t (* x (* z y)))

simplify1.4s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	1656
1	329
0	131

prune898.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize64.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4.0 (fma t a (* x i)) (* (* 27.0 j) k))
0.2b	(* (* 27.0 j) k)
0.3b	(* 18.0 (* (* t x) (* z y)))
8.4b	(* (* t x) (* z y))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow1` `add-cbrt-cube` `add-exp-log`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef`

Counts

4 → 83

Calls

4 calls:

1.0ms	(fma 4.0 (fma t a (* x i)) (* (* 27.0 j) k))
26.0ms	(* (* 27.0 j) k)
121.0ms	(* 18.0 (* (* t x) (* z y)))
42.0ms	(* (* t x) (* z y))

series335.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(fma 4.0 (fma t a (* x i)) (* (* 27.0 j) k))
33.0ms	(* (* 27.0 j) k)
81.0ms	(* 18.0 (* (* t x) (* z y)))
85.0ms	(* (* t x) (* z y))

simplify1.8s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	2018
1	368
0	143

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 27.0 j) k)
0.3b	(* 18.0 (* (* (* t x) z) y))
5.1b	(* (* t x) z)
5.7b	(* (* (* t x) z) y)

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

14.0ms	(* (* 27.0 j) k)
146.0ms	(* 18.0 (* (* (* t x) z) y))
18.0ms	(* (* t x) z)
53.0ms	(* (* (* t x) z) y)

series303.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* 27.0 j) k)
88.0ms	(* 18.0 (* (* (* t x) z) y))
64.0ms	(* (* t x) z)
107.0ms	(* (* (* t x) z) y)

simplify1.6s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2423
1	365
0	139

prune914.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes1.6s

Accuracy

60.1% (1.6b remaining)

Error of 1.7b against oracle of 0.1b and baseline of 4.1b

bsearch846.0ms

Steps

Iters	Range		Point
10	4.7446794881303566e-17	0.00020029186425174416	1.363986310416496e-14
10	-7.303503265538731e-45	-1.614689054090866e-62	-2.680403119349005e-60

simplify11.0ms

Iterations

Iter	Nodes
done	57
1	57
0	41

end0.0ms

sample4.2s

Algorithm

intervals

Results

3.0s

16152×

body

valid