Details

sample29.0ms

Algorithm

intervals

Results

13.0ms	318×	body	80	valid
2.0ms	16×	body	1280	valid
1.0ms	7×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	3×	body	160	valid

simplify148.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	224
6	224
5	221
4	169
3	80
2	31
1	14
0	7

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* 3.0 (- 2.0 (* x 3.0)))
0.1b	(* (* 3.0 (- 2.0 (* x 3.0))) x)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`prod-diff`
6×	`associate-r`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
3×	`expm1-log1p-u` `sub-neg` `flip3--` `fma-neg` `log1p-expm1-u` `flip--`
2×	`associate-l/` `-commutative`
1×	`diff-log` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

5.0ms	(- 2.0 (* x 3.0))
14.0ms	(* 3.0 (- 2.0 (* x 3.0)))
22.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series242.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(- 2.0 (* x 3.0))
75.0ms	(* 3.0 (- 2.0 (* x 3.0)))
118.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify3.4s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
3	4928
2	893
1	267
0	113

prune390.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 6.0 (* 9.0 x))
0.1b	(* x (- 6.0 (* 9.0 x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`prod-diff`
8×	`*-un-lft-identity` `add-cube-cbrt`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`sub-neg` `fma-neg` `associate-r` `associate-l`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `log1p-expm1-u` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 52

Calls

2 calls:

4.0ms	(- 6.0 (* 9.0 x))
14.0ms	(* x (- 6.0 (* 9.0 x)))

series120.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- 6.0 (* 9.0 x))
79.0ms	(* x (- 6.0 (* 9.0 x)))

simplify3.1s

Counts

58 → 58

Iterations

Iter	Nodes
done	5002
3	2843
2	575
1	188
0	81

prune243.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (- 2.0 (* x 3.0)) x)
0.1b	(* 3.0 (* (- 2.0 (* x 3.0)) x))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

5.0ms	(- 2.0 (* x 3.0))
17.0ms	(* (- 2.0 (* x 3.0)) x)
23.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series205.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- 2.0 (* x 3.0))
75.0ms	(* (- 2.0 (* x 3.0)) x)
91.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify4.4s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
3	3628
2	766
1	238
0	101

prune312.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (- 2.0 (* x 3.0)) x)
0.4b	(* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x))
0.4b	(* (sqrt 3.0) (* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x)))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube` `add-exp-log`
15×	`associate-l`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l/` `associate-r/` `sqrt-prod` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `flip3--` `log1p-expm1-u` `flip--`
3×	`fma-neg` `prod-diff` `*-commutative`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

7.0ms	(- 2.0 (* x 3.0))
24.0ms	(* (- 2.0 (* x 3.0)) x)
42.0ms	(* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x))
97.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x)))

series616.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- 2.0 (* x 3.0))
83.0ms	(* (- 2.0 (* x 3.0)) x)
202.0ms	(* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x))
264.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x)))

simplify1.4s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	1291
1	332
0	132

prune427.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample801.0ms

Algorithm

intervals

Results

468.0ms	10009×	body	80	valid
70.0ms	284×	body	640	valid
53.0ms	294×	body	1280	valid
12.0ms	111×	body	320	valid
5.0ms	69×	body	160	valid