Details

sample27.0ms

Algorithm

intervals

Results

16.0ms

296×

body

valid

simplify511.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	419
10	419
9	418
8	402
7	357
6	302
5	229
4	152
3	73
2	30
1	15
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
0.0b	(* (- x (/ 16.0 116.0)) 3.0)
0.1b	(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
7×	`associate-l`
6×	`associate-r` `associate-*l/` `add-cube-cbrt`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `difference-of-squares`
3×	`flip3--` `insert-posit16` `flip--`
2×	`times-frac` `*-commutative` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

6.0ms	(- x (/ 16.0 116.0))
22.0ms	(* (- x (/ 16.0 116.0)) 3.0)
63.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series148.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- x (/ 16.0 116.0))
66.0ms	(* (- x (/ 16.0 116.0)) 3.0)
46.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify559.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	2000
2	673
1	234
0	101

prune275.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
0.2b	(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
6×	`associate-l`
4×	`add-log-exp` `difference-of-squares`
3×	`pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`times-frac` `flip3--` `associate-*l/` `insert-posit16` `flip--` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `associate-r` `*-commutative`

Counts

2 → 40

Calls

2 calls:

11.0ms	(- x (/ 16.0 116.0))
32.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

series107.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- x (/ 16.0 116.0))
68.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify767.0ms

Counts

46 → 46

Iterations

Iter	Nodes
done	2000
2	551
1	189
0	78

prune220.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
0.1b	(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
0.2b	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
0.8b	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`pow1` `add-cbrt-cube` `add-exp-log`
15×	`associate-r`
14×	`*-un-lft-identity`
12×	`associate-*l/`
10×	`pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
8×	`associate-l`
7×	`sqrt-prod`
6×	`add-log-exp`
4×	`flip3--` `insert-posit16` `flip--` `difference-of-squares`
3×	`*-commutative`
2×	`times-frac` `distribute-lft-out--` `unswap-sqr`
1×	`sub-neg` `diff-log`

Counts

4 → 92

Calls

4 calls:

6.0ms	(- x (/ 16.0 116.0))
167.0ms	(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
32.0ms	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
51.0ms	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

series500.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- x (/ 16.0 116.0))
195.0ms	(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
128.0ms	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
150.0ms	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

simplify774.0ms

Counts

104 → 104

Iterations

Iter	Nodes
done	2001
2	1123
1	337
0	135

prune362.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
0.7b	(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0)))
0.8b	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
1.0b	(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))

rewrite428.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
46×	`cbrt-prod`
43×	`pow1`
38×	`add-exp-log`
27×	`sqrt-prod`
25×	`associate-r`
24×	`*-un-lft-identity` `pow-prod-down`
23×	`add-cbrt-cube` `prod-exp` `cbrt-unprod`
22×	`add-cube-cbrt`
17×	`associate-l`
12×	`associate-*l/`
11×	`swap-sqr` `unswap-sqr`
6×	`pow1/3`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`flip3--` `flip--`
2×	`pow-sqr` `pow-prod-up` `difference-of-squares`
1×	`pow2` `times-frac` `pow-plus` `distribute-lft-out--`

Counts

4 → 146

Calls

4 calls:

32.0ms	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
271.0ms	(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0)))
104.0ms	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
19.0ms	(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))

series1.1s

Counts

4 → 10

Calls

4 calls:

125.0ms	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
174.0ms	(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0)))
820.0ms	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
0.0ms	(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))

simplify1.1s

Counts

156 → 156

Iterations

Iter	Nodes
done	2008
2	1530
1	431
0	172

prune562.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes232.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample1.0s

Algorithm

intervals

Results

815.0ms

9142×

body

valid