Details

sample38.0ms

Algorithm

intervals

Results

19.0ms

284×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	31	9
3	73	9
4	150	9
5	231	9
6	309	9
7	379	9
8	430	9
9	443	9
10	446	9
done	446	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
41×	`add-cube-cbrt`
39×	`prod-diff`
29×	`times-frac`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`associate-r` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `difference-of-squares`
3×	`expm1-log1p-u` `flip3--` `fma-neg` `flip--` `log1p-expm1-u` `div-inv`
2×	`*-commutative` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

3 → 106

Calls

3 calls:

28.0ms	(- x (/ 16.0 116.0))
55.0ms	(* (- x (/ 16.0 116.0)) 3.0)
84.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series197.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(- x (/ 16.0 116.0))
79.0ms	(* (- x (/ 16.0 116.0)) 3.0)
74.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify2.0s

Counts

115 → 115

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	217	2289
1	503	2065
2	1462	1478
done	5001	1219

prune234.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 3.0 x) 0.41379310344827586)
0.1b	(* (- (* 3.0 x) 0.41379310344827586) y)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

9.0ms	(- (* 3.0 x) 0.41379310344827586)
62.0ms	(* (- (* 3.0 x) 0.41379310344827586) y)

series94.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(- (* 3.0 x) 0.41379310344827586)
43.0ms	(* (- (* 3.0 x) 0.41379310344827586) y)

simplify1.8s

Counts

46 → 46

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	78	458
1	176	420
2	488	367
3	1841	362
done	5001	356

prune118.0ms

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

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
39×	`prod-diff`
38×	`add-cube-cbrt`
29×	`times-frac`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-l`
4×	`add-log-exp` `difference-of-squares`
3×	`fma-neg` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
2×	`expm1-log1p-u` `flip3--` `associate-*l/` `flip--` `log1p-expm1-u` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `associate-r` `*-commutative`

Counts

2 → 84

Calls

2 calls:

28.0ms	(- x (/ 16.0 116.0))
83.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

series87.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(- x (/ 16.0 116.0))
59.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify1.4s

Counts

90 → 90

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	194	2055
1	467	1836
2	1320	1277
done	5001	1018

prune214.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- (* 3.0 x) 0.41379310344827586))
0.2b	(cbrt (- (* 3.0 x) 0.41379310344827586))
0.2b	(cbrt (- (* 3.0 x) 0.41379310344827586))
0.4b	(* (* (cbrt (- (* 3.0 x) 0.41379310344827586)) (cbrt (- (* 3.0 x) 0.41379310344827586))) (* (cbrt (- (* 3.0 x) 0.41379310344827586)) y))

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*l/`
30×	`flip3--` `flip--`
28×	`frac-times`
16×	`pow1` `add-exp-log`
10×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 95

Calls

4 calls:

13.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
13.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
14.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
234.0ms	(* (* (cbrt (- (* 3.0 x) 0.41379310344827586)) (cbrt (- (* 3.0 x) 0.41379310344827586))) (* (cbrt (- (* 3.0 x) 0.41379310344827586)) y))

series608.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
167.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
170.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
111.0ms	(* (* (cbrt (- (* 3.0 x) 0.41379310344827586)) (cbrt (- (* 3.0 x) 0.41379310344827586))) (* (cbrt (- (* 3.0 x) 0.41379310344827586)) y))

simplify2.8s

Counts

107 → 107

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	182	3095
1	512	2883
2	1430	2431
3	4079	2129
done	5000	2126

prune443.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes194.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	9	7
done	9	7

end0.0ms

sample844.0ms

Algorithm

intervals

Results

513.0ms

9163×

body

valid