Details

sample75.0ms

Algorithm

intervals

Results

34.0ms

356×

body

valid

simplify19.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
12	4899
11	3849
10	2818
9	2072
8	1738
7	1515
6	1194
5	771
4	477
3	234
2	90
1	35
0	17

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize42.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma (* a 27.0) b (* x 2.0)) (* (* 9.0 y) (* t z)))
0.1b	(fma (* a 27.0) b (* x 2.0))
5.6b	(* (* 9.0 y) (* t z))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

14.0ms	(- (fma (* a 27.0) b (* x 2.0)) (* (* 9.0 y) (* t z)))
1.0ms	(fma (* a 27.0) b (* x 2.0))
62.0ms	(* (* 9.0 y) (* t z))

series386.0ms

Counts

3 → 9

Calls

3 calls:

270.0ms	(- (fma (* a 27.0) b (* x 2.0)) (* (* 9.0 y) (* t z)))
68.0ms	(fma (* a 27.0) b (* x 2.0))
49.0ms	(* (* 9.0 y) (* t z))

simplify7.0s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
3	4877
2	933
1	257
0	106

prune713.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma (* a 27.0) b (* x 2.0)) (* (* (* 9.0 y) t) z))
0.1b	(fma (* a 27.0) b (* x 2.0))
0.5b	(* (* 9.0 y) t)
6.5b	(* (* (* 9.0 y) t) z)

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

12.0ms	(- (fma (* a 27.0) b (* x 2.0)) (* (* (* 9.0 y) t) z))
1.0ms	(fma (* a 27.0) b (* x 2.0))
34.0ms	(* (* 9.0 y) t)
137.0ms	(* (* (* 9.0 y) t) z)

series445.0ms

Counts

4 → 12

Calls

4 calls:

277.0ms	(- (fma (* a 27.0) b (* x 2.0)) (* (* (* 9.0 y) t) z))
78.0ms	(fma (* a 27.0) b (* x 2.0))
38.0ms	(* (* 9.0 y) t)
52.0ms	(* (* (* 9.0 y) t) z)

simplify2.6s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
2	1119
1	303
0	126

prune927.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma (* a 27.0) b (* x 2.0)) (* (* 9.0 (* t y)) z))
0.1b	(fma (* a 27.0) b (* x 2.0))
0.3b	(* 9.0 (* t y))
6.5b	(* (* 9.0 (* t y)) z)

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

11.0ms	(- (fma (* a 27.0) b (* x 2.0)) (* (* 9.0 (* t y)) z))
1.0ms	(fma (* a 27.0) b (* x 2.0))
29.0ms	(* 9.0 (* t y))
88.0ms	(* (* 9.0 (* t y)) z)

series476.0ms

Counts

4 → 12

Calls

4 calls:

306.0ms	(- (fma (* a 27.0) b (* x 2.0)) (* (* 9.0 (* t y)) z))
80.0ms	(fma (* a 27.0) b (* x 2.0))
38.0ms	(* 9.0 (* t y))
51.0ms	(* (* 9.0 (* t y)) z)

simplify2.3s

Counts

86 → 86

Iterations

Iter	Nodes
done	5003
2	1034
1	290
0	122

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma 27.0 (* a b) (* x 2.0)) (* (* 9.0 (* t y)) z))
0.1b	(fma 27.0 (* a b) (* x 2.0))
0.3b	(* 9.0 (* t y))
6.5b	(* (* 9.0 (* t y)) z)

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

17.0ms	(- (fma 27.0 (* a b) (* x 2.0)) (* (* 9.0 (* t y)) z))
1.0ms	(fma 27.0 (* a b) (* x 2.0))
34.0ms	(* 9.0 (* t y))
154.0ms	(* (* 9.0 (* t y)) z)

series474.0ms

Counts

4 → 12

Calls

4 calls:

301.0ms	(- (fma 27.0 (* a b) (* x 2.0)) (* (* 9.0 (* t y)) z))
79.0ms	(fma 27.0 (* a b) (* x 2.0))
41.0ms	(* 9.0 (* t y))
52.0ms	(* (* 9.0 (* t y)) z)

simplify2.5s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	1084
1	287
0	120

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes1.9s

Accuracy

79.1% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.7b

bsearch2.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	44
1	44
0	33

end0.0ms

sample2.8s

Algorithm

intervals

Results

2.0s

10923×

body

valid