Details

sample32.0ms

Algorithm

intervals

Results

18.0ms

296×

body

valid

simplify513.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

51.0ms	(* (- x (/ 16.0 116.0)) 3.0)
87.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series91.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* (- x (/ 16.0 116.0)) 3.0)
43.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify2.3s

Counts

51 → 51

Iterations

Iter	Nodes
done	5000
3	2569
2	645
1	207
0	86

prune166.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

97.0ms

(* (- x (/ 16.0 116.0)) (* 3.0 y))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify1.8s

Counts

27 → 27

Iterations

Iter	Nodes
done	5000
3	2030
2	522
1	162
0	63

prune114.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite781.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1` `add-exp-log`
19×	`add-cbrt-cube` `pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt`
12×	`associate-*l/`
10×	`associate-r`
9×	`*-un-lft-identity`
8×	`associate-l`
7×	`add-cube-cbrt`
3×	`cbrt-prod` `flip3--` `*-commutative` `insert-posit16` `flip--` `add-log-exp`
2×	`difference-of-squares`
1×	`times-frac` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 79

Calls

3 calls:

77.0ms	(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
523.0ms	(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
178.0ms	(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series485.0ms

Counts

3 → 9

Calls

3 calls:

170.0ms	(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
156.0ms	(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
159.0ms	(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify2.9s

Counts

88 → 88

Iterations

Iter	Nodes
done	5008
3	4217
2	1053
1	338
0	129

prune243.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
0.4b	(* (cbrt 3.0) y)
0.4b	(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt 3.0) y))

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

72.0ms	(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
17.0ms	(* (cbrt 3.0) y)
174.0ms	(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt 3.0) y))

series441.0ms

Counts

3 → 9

Calls

3 calls:

185.0ms	(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
86.0ms	(* (cbrt 3.0) y)
169.0ms	(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt 3.0) y))

simplify2.2s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1180
1	334
0	121

prune240.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes208.0ms

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	11
1	11
0	9

end0.0ms

sample734.0ms

Algorithm

intervals

Results

556.0ms

9110×

body

valid