Details

sample190.0ms

Algorithm

intervals

Results

118.0ms

529×

body

valid

simplify7.6s

Counts

1 → 1

Iterations

Useful iterations: 5 (6.2s)

Iter	Nodes	Cost
0	28	31
1	67	29
2	221	27
3	757	27
4	2623	27
5	4397	26
done	5000	26

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.9b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.7b	(* (* j 27.0) k)
5.1b	(* (* (* x 18.0) y) z)
6.9b	(* (* (* (* x 18.0) y) z) t)

rewrite424.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

33.0ms	(* (* x 18.0) y)
36.0ms	(* (* j 27.0) k)
84.0ms	(* (* (* x 18.0) y) z)
265.0ms	(* (* (* (* x 18.0) y) z) t)

series213.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* x 18.0) y)
39.0ms	(* (* j 27.0) k)
34.0ms	(* (* (* x 18.0) y) z)
91.0ms	(* (* (* (* x 18.0) y) z) t)

simplify2.6s

Counts

101 → 101

Iterations

Useful iterations: 2 (439.0ms)

Iter	Nodes	Cost
0	145	974
1	358	944
2	1718	738
done	5000	738

prune635.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.5b	(* j (* 27.0 k))
5.1b	(* (* (* x 18.0) y) z)
6.9b	(* (* (* (* x 18.0) y) z) t)

rewrite379.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

28.0ms	(* (* x 18.0) y)
23.0ms	(* j (* 27.0 k))
63.0ms	(* (* (* x 18.0) y) z)
262.0ms	(* (* (* (* x 18.0) y) z) t)

series189.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (* x 18.0) y)
33.0ms	(* j (* 27.0 k))
41.0ms	(* (* (* x 18.0) y) z)
70.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.7s

Counts

101 → 101

Iterations

Useful iterations: 2 (416.0ms)

Iter	Nodes	Cost
0	143	971
1	350	943
2	1659	737
done	5000	737

prune563.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* j (* 27.0 k)))
0.5b	(* j (* 27.0 k))
4.0b	(* (* x 18.0) (* y z))
6.9b	(* (* (* x 18.0) (* y z)) t)

rewrite18.2s

Algorithm

rewrite-expression-head

Rules

39×	`pow1` `add-exp-log` `add-cbrt-cube`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
18×	`add-log-exp`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`diff-log`
7×	`associate--l+`
6×	`prod-diff`
5×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-neg` `*-commutative`
2×	`sub-neg` `sum-log`
1×	`associate--l-` `flip3--` `flip--`

Counts

4 → 103

Calls

4 calls:

18.1s	(- (- (+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* j (* 27.0 k)))
18.0ms	(* j (* 27.0 k))
29.0ms	(* (* x 18.0) (* y z))
115.0ms	(* (* (* x 18.0) (* y z)) t)

series3.5s

Counts

4 → 12

Calls

4 calls:

3.4s	(- (- (+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* j (* 27.0 k)))
26.0ms	(* j (* 27.0 k))
41.0ms	(* (* x 18.0) (* y z))
58.0ms	(* (* (* x 18.0) (* y z)) t)

simplify1.6s

Counts

115 → 115

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	194	1983
1	481	1853
2	2017	1520
done	5001	1457

prune673.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* x 18.0) (* (* y z) t)) (* (* a 4.0) t)) (* b c))
0.5b	(* j (* 27.0 k))
4.2b	(* (* y z) t)
5.7b	(* (* x 18.0) (* (* y z) t))

rewrite590.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log` `add-cbrt-cube`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-+l+` `fma-def` `*-commutative`
2×	`sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `prod-diff` `flip-+`

Counts

4 → 91

Calls

4 calls:

454.0ms	(+ (- (* (* x 18.0) (* (* y z) t)) (* (* a 4.0) t)) (* b c))
21.0ms	(* j (* 27.0 k))
21.0ms	(* (* y z) t)
91.0ms	(* (* x 18.0) (* (* y z) t))

series414.0ms

Counts

4 → 12

Calls

4 calls:

299.0ms	(+ (- (* (* x 18.0) (* (* y z) t)) (* (* a 4.0) t)) (* b c))
25.0ms	(* j (* 27.0 k))
33.0ms	(* (* y z) t)
56.0ms	(* (* x 18.0) (* (* y z) t))

simplify1.5s

Counts

103 → 103

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	169	1293
1	445	1260
2	1903	975
done	5000	966

prune552.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes1.5s

Accuracy

68% (1.9b remaining)

Error of 2.0b against oracle of 0.1b and baseline of 6.0b

bsearch450.0ms

Steps

Iters	Range		Point
9	1.3119077395614098e+23	9.74959820535983e+31	2.1885021756705143e+25
8	-2.0129013522478902e-35	-1.4643973359591135e-38	-7.626211434592408e-36

simplify11.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	53	108
1	76	108
done	76	108

end0.0ms

sample5.0s

Algorithm

intervals

Results

3.8s

16213×

body

valid