Details

sample210.0ms

Algorithm

intervals

Results

150.0ms

538×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
4	2001
3	723
2	217
1	67
0	28

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.4b

localize63.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* x 18.0) y)
0.5b	(* (* j 27.0) k)
3.0b	(* (* (* x 18.0) y) z)
4.8b	(* (* (* (* x 18.0) y) z) t)

rewrite695.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-l` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 93

Calls

4 calls:

25.0ms	(* (* x 18.0) y)
15.0ms	(* (* j 27.0) k)
60.0ms	(* (* (* x 18.0) y) z)
592.0ms	(* (* (* (* x 18.0) y) z) t)

series198.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* x 18.0) y)
49.0ms	(* (* j 27.0) k)
51.0ms	(* (* (* x 18.0) y) z)
60.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.4s

Counts

105 → 105

Iterations

Iter	Nodes
done	2005
3	2005
2	1438
1	380
0	149

prune2.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
0.4b	(* (* x 18.0) y)
0.5b	(* (* j 27.0) k)
6.5b	(* (* (* x 18.0) y) (* z t))

rewrite560.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-cbrt-cube` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-+l+` `fma-def` `associate-l` `*-commutative`
2×	`sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `prod-diff` `associate-+l-` `flip-+`

Counts

4 → 95

Calls

4 calls:

422.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
30.0ms	(* (* x 18.0) y)
24.0ms	(* (* j 27.0) k)
80.0ms	(* (* (* x 18.0) y) (* z t))

series442.0ms

Counts

4 → 12

Calls

4 calls:

299.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
48.0ms	(* (* x 18.0) y)
26.0ms	(* (* j 27.0) k)
69.0ms	(* (* (* x 18.0) y) (* z t))

simplify1.6s

Counts

107 → 107

Iterations

Iter	Nodes
done	2001
3	2001
2	1782
1	472
0	176

prune2.6s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize69.0ms

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)
4.1b	(* (* x 18.0) (* y (* z t)))
5.1b	(* y (* z t))

rewrite455.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-cbrt-cube` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-+l+` `fma-def` `*-commutative`
2×	`sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `prod-diff` `associate-+l-` `flip-+`

Counts

4 → 95

Calls

4 calls:

341.0ms	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
23.0ms	(* (* j 27.0) k)
74.0ms	(* (* x 18.0) (* y (* z t)))
15.0ms	(* y (* z t))

series465.0ms

Counts

4 → 12

Calls

4 calls:

326.0ms	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
25.0ms	(* (* j 27.0) k)
65.0ms	(* (* x 18.0) (* y (* z t)))
50.0ms	(* y (* z t))

simplify1.5s

Counts

107 → 107

Iterations

Iter	Nodes
done	2004
3	2004
2	1750
1	454
0	173

prune2.4s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

5.1b	(* y (* z t))
9.8b	(cbrt (* (* j 27.0) k))
9.8b	(cbrt (* (* j 27.0) k))
9.8b	(cbrt (* (* j 27.0) k))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 57

Calls

4 calls:

26.0ms	(* y (* z t))
10.0ms	(cbrt (* (* j 27.0) k))
10.0ms	(cbrt (* (* j 27.0) k))
18.0ms	(cbrt (* (* j 27.0) k))

series531.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* y (* z t))
168.0ms	(cbrt (* (* j 27.0) k))
171.0ms	(cbrt (* (* j 27.0) k))
149.0ms	(cbrt (* (* j 27.0) k))

simplify1.1s

Counts

69 → 69

Iterations

Iter	Nodes
done	2059
4	2059
3	1315
2	458
1	182
0	86

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes1.8s

Accuracy

69.7% (1.6b remaining)

Error of 2.0b against oracle of 0.4b and baseline of 5.5b

bsearch451.0ms

Steps

Iters	Range		Point
7	1752.8541968760296	227388.21434150374	22289.977042498147
8	-5.402645537653403e-36	-5.542946576191101e-40	-2.290721253144602e-39

simplify17.0ms

Iterations

Iter	Nodes
done	68
1	68
0	46

end0.0ms

sample6.2s

Algorithm

intervals

Results

4.9s

16085×

body

valid