Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	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

simplify131.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	164
5	164
4	139
3	74
2	31
1	14
0	7

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

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)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

7.0ms	(- 2.0 (* x 3.0))
26.0ms	(* 3.0 (- 2.0 (* x 3.0)))
42.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series266.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- 2.0 (* x 3.0))
60.0ms	(* 3.0 (- 2.0 (* x 3.0)))
161.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify3.2s

Counts

65 → 65

Iterations

Iter	Nodes
done	5002
3	4016
2	745
1	232
0	90

prune287.0ms

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

11.0ms	(- 6.0 (* x 9.0))
21.0ms	(* x (- 6.0 (* x 9.0)))

series176.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(- 6.0 (* x 9.0))
118.0ms	(* x (- 6.0 (* x 9.0)))

simplify2.1s

Counts

42 → 42

Iterations

Iter	Nodes
done	5001
3	2042
2	478
1	153
0	61

prune200.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

4.0ms	(- 2.0 (* x 3.0))
24.0ms	(* (- 2.0 (* x 3.0)) x)
24.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series270.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- 2.0 (* x 3.0))
94.0ms	(* (- 2.0 (* x 3.0)) x)
129.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify3.1s

Counts

61 → 61

Iterations

Iter	Nodes
done	5014
3	3940
2	681
1	211
0	86

prune260.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

4.0ms	(- 2.0 (* x 3.0))
14.0ms	(* (- 2.0 (* x 3.0)) x)
36.0ms	(* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x))
106.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x)))

series571.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- 2.0 (* x 3.0))
90.0ms	(* (- 2.0 (* x 3.0)) x)
178.0ms	(* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x))
251.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x)))

simplify1.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5002
2	1235
1	302
0	115

prune318.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample1.2s

Algorithm

intervals

Results

875.0ms	10009×	body	80	valid
58.0ms	294×	body	1280	valid
41.0ms	284×	body	640	valid
12.0ms	111×	body	320	valid
5.0ms	69×	body	160	valid