Details

sample36.0ms

Algorithm

intervals

Results

16.0ms

289×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

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)

rewrite185.0ms

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:

16.0ms	(- x (/ 16.0 116.0))
61.0ms	(* (- x (/ 16.0 116.0)) 3.0)
98.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series133.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- x (/ 16.0 116.0))
53.0ms	(* (- x (/ 16.0 116.0)) 3.0)
52.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.6s

Counts

115 → 115

Iterations

Useful iterations: done (1.6s)

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

prune281.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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))

rewrite115.0ms

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))
78.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

series78.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(- x (/ 16.0 116.0))
51.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify1.6s

Counts

90 → 90

Iterations

Useful iterations: done (1.6s)

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

prune175.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
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)
0.7b	(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite894.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
43×	`add-cube-cbrt`
39×	`prod-diff`
32×	`pow1` `add-exp-log`
29×	`times-frac`
20×	`add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-*l/`
10×	`associate-r`
8×	`associate-l`
6×	`add-log-exp`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `difference-of-squares`
3×	`cbrt-prod` `fma-neg` `*-commutative` `div-inv`
2×	`distribute-lft-out--`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

17.0ms	(- x (/ 16.0 116.0))
100.0ms	(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
566.0ms	(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
199.0ms	(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series568.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- x (/ 16.0 116.0))
193.0ms	(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
163.0ms	(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
170.0ms	(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify1.5s

Counts

153 → 153

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	260	3294
1	630	2954
2	2017	2066
done	5001	1642

prune376.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
0.1b	(* y (- x (/ 16.0 116.0)))
0.3b	(* (* y (- x (/ 16.0 116.0))) 3.0)

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

121×	`add-sqr-sqrt`
117×	`prod-diff`
113×	`*-un-lft-identity`
109×	`add-cube-cbrt`
83×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-r` `div-inv`
5×	`add-log-exp`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `difference-of-squares`
3×	`expm1-log1p-u` `sub-neg` `flip3--` `fma-neg` `flip--` `log1p-expm1-u`
2×	`associate-l/` `-commutative` `distribute-lft-out--`
1×	`diff-log` `unswap-sqr`

Counts

3 → 188

Calls

3 calls:

25.0ms	(- x (/ 16.0 116.0))
66.0ms	(* y (- x (/ 16.0 116.0)))
59.0ms	(* (* y (- x (/ 16.0 116.0))) 3.0)

series158.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(- x (/ 16.0 116.0))
47.0ms	(* y (- x (/ 16.0 116.0)))
82.0ms	(* (* y (- x (/ 16.0 116.0))) 3.0)

simplify1.5s

Counts

197 → 197

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	323	5699
1	627	5047
2	1644	3488
done	5001	2705

prune325.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes223.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	11	9
done	11	9

end0.0ms

sample889.0ms

Algorithm

intervals

Results

507.0ms

9164×

body

valid