Details

sample21.0ms

Algorithm

intervals

Results

13.0ms

341×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
12	4630
11	3891
10	2742
9	1466
8	912
7	702
6	572
5	392
4	222
3	115
2	53
1	25
0	10

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 4.0 (* x 3.0))
0.1b	(* (- 4.0 (* x 3.0)) x)
0.1b	(* 3.0 (- 1.0 (* (- 4.0 (* x 3.0)) x)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
3×	`sub-neg` `flip3--` `insert-posit16` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

3 → 59

Calls

3 calls:

4.0ms	(- 4.0 (* x 3.0))
20.0ms	(* (- 4.0 (* x 3.0)) x)
21.0ms	(* 3.0 (- 1.0 (* (- 4.0 (* x 3.0)) x)))

series175.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- 4.0 (* x 3.0))
77.0ms	(* (- 4.0 (* x 3.0)) x)
46.0ms	(* 3.0 (- 1.0 (* (- 4.0 (* x 3.0)) x)))

simplify2.4s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
3	3644
2	796
1	260
0	109

prune225.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x 9.0) 12.0)
0.1b	(* x (- (* x 9.0) 12.0))

rewrite47.0ms

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/` `insert-posit16` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

13.0ms	(- (* x 9.0) 12.0)
34.0ms	(* x (- (* x 9.0) 12.0))

series145.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(- (* x 9.0) 12.0)
88.0ms	(* x (- (* x 9.0) 12.0))

simplify1.7s

Counts

44 → 44

Iterations

Iter	Nodes
done	5003
3	1628
2	436
1	157
0	64

prune124.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 77

Calls

4 calls:

9.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series981.0ms

Counts

4 → 12

Calls

4 calls:

286.0ms	(* (cbrt x) (cbrt x))
268.0ms	(cbrt x)
223.0ms	(cbrt x)
204.0ms	(cbrt x)

simplify3.3s

Counts

89 → 89

Iterations

Iter	Nodes
done	5002
4	3832
3	1045
2	380
1	138
0	63

prune421.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 4.0 (* x 3.0))
0.1b	(* (- 4.0 (* x 3.0)) x)
0.2b	(* (sqrt 3.0) (- 1.0 (* (- 4.0 (* x 3.0)) x)))
0.8b	(* (sqrt 3.0) (* (sqrt 3.0) (- 1.0 (* (- 4.0 (* x 3.0)) x))))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`associate-l`
13×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`distribute-rgt-in` `distribute-lft-in`
7×	`sub-neg` `associate-r` `sqrt-prod`
6×	`associate-*r/` `add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`flip3--` `insert-posit16` `flip--`
3×	`*-commutative` `unswap-sqr`
2×	`associate-*l/`
1×	`diff-log`

Counts

4 → 95

Calls

4 calls:

6.0ms	(- 4.0 (* x 3.0))
23.0ms	(* (- 4.0 (* x 3.0)) x)
29.0ms	(* (sqrt 3.0) (- 1.0 (* (- 4.0 (* x 3.0)) x)))
46.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (- 1.0 (* (- 4.0 (* x 3.0)) x))))

series280.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- 4.0 (* x 3.0))
77.0ms	(* (- 4.0 (* x 3.0)) x)
76.0ms	(* (sqrt 3.0) (- 1.0 (* (- 4.0 (* x 3.0)) x)))
85.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (- 1.0 (* (- 4.0 (* x 3.0)) x))))

simplify1.3s

Counts

107 → 107

Iterations

Iter	Nodes
done	5018
2	1292
1	381
0	147

prune262.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample850.0ms

Algorithm

intervals

Results

710.0ms

10745×

body

valid