Details

sample75.0ms

Algorithm

intervals

Results

38.0ms

504×

body

valid

simplify6.1s

Counts

1 → 1

Iterations

Useful iterations: 5 (2.5s)

Iter	Nodes	Cost
0	28	31
1	67	29
2	218	27
3	722	27
4	1905	27
5	3091	26
6	4224	26
done	5001	26

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
5.3b	(* (* (* x 18.0) y) z)
5.8b	(* (* (* (* x 18.0) y) z) t)

rewrite120.0ms

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:

6.0ms	(* (* x 18.0) y)
6.0ms	(* (* j 27.0) k)
22.0ms	(* (* (* x 18.0) y) z)
81.0ms	(* (* (* (* x 18.0) y) z) t)

series123.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 18.0) y)
19.0ms	(* (* j 27.0) k)
30.0ms	(* (* (* x 18.0) y) z)
53.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.5s

Counts

101 → 101

Iterations

Useful iterations: 2 (282.0ms)

Iter	Nodes	Cost
0	145	974
1	366	944
2	1796	738
done	5001	738

prune415.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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))
0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
10.6b	(* (* (* x 18.0) y) (* z t))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

1.0s	(- (+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
9.0ms	(* (* x 18.0) y)
7.0ms	(* (* j 27.0) k)
26.0ms	(* (* (* x 18.0) y) (* z t))

series531.0ms

Counts

4 → 12

Calls

4 calls:

439.0ms	(- (+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
21.0ms	(* (* x 18.0) y)
19.0ms	(* (* j 27.0) k)
51.0ms	(* (* (* x 18.0) y) (* z t))

simplify1.1s

Counts

106 → 106

Iterations

Useful iterations: 2 (252.0ms)

Iter	Nodes	Cost
0	188	1638
1	498	1598
2	2049	1250
done	5000	1250

prune449.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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))
0.2b	(* (* j 27.0) k)
4.8b	(* y (* z t))
5.8b	(* (* x 18.0) (* y (* z t)))

rewrite760.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

725.0ms	(- (+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
6.0ms	(* (* j 27.0) k)
6.0ms	(* y (* z t))
19.0ms	(* (* x 18.0) (* y (* z t)))

series533.0ms

Counts

4 → 12

Calls

4 calls:

438.0ms	(- (+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
19.0ms	(* (* j 27.0) k)
24.0ms	(* y (* z t))
51.0ms	(* (* x 18.0) (* y (* z t)))

simplify978.0ms

Counts

106 → 106

Iterations

Useful iterations: 2 (222.0ms)

Iter	Nodes	Cost
0	185	1631
1	488	1593
2	1934	1295
done	5001	1295

prune463.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* y (* z t)))
0.2b	(* (* j 27.0) k)
4.8b	(* y (* z t))
5.7b	(* x (* 18.0 (* y (* z t))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

15.0ms	(* 18.0 (* y (* z t)))
6.0ms	(* (* j 27.0) k)
6.0ms	(* y (* z t))
44.0ms	(* x (* 18.0 (* y (* z t))))

series123.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* 18.0 (* y (* z t)))
19.0ms	(* (* j 27.0) k)
28.0ms	(* y (* z t))
49.0ms	(* x (* 18.0 (* y (* z t))))

simplify925.0ms

Counts

101 → 101

Iterations

Useful iterations: 2 (142.0ms)

Iter	Nodes	Cost
0	138	961
1	345	937
2	1360	731
done	5001	731

prune427.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes1.5s

Accuracy

77.3% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 5.4b

bsearch3.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	149
1	80	149
done	80	149

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

16437×

body

valid