Details

sample27.0ms

Algorithm

intervals

Results

11.0ms

285×

body

valid

simplify557.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	485
10	485
9	484
8	468
7	420
6	348
5	250
4	156
3	72
2	31
1	15
0	9

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite108.0ms

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` `flip--` `add-log-exp` `difference-of-squares`
1×	`times-frac` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

33.0ms	(* (- x (/ 16.0 116.0)) 3.0)
73.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series146.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(* (- x (/ 16.0 116.0)) 3.0)
66.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify636.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
2	1092
1	205
0	84

prune134.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite82.0ms

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` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

80.0ms

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

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

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

simplify1.3s

Counts

26 → 26

Iterations

Iter	Nodes
done	5001
3	2693
2	563
1	161
0	62

prune151.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

54.0ms	(* y (- x (/ 16.0 116.0)))
66.0ms	(* (* y (- x (/ 16.0 116.0))) 3.0)

series123.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(* y (- x (/ 16.0 116.0)))
64.0ms	(* (* y (- x (/ 16.0 116.0))) 3.0)

simplify699.0ms

Counts

53 → 53

Iterations

Iter	Nodes
done	5000
2	1015
1	233
0	89

prune227.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.1b	(* y (- x (/ 16.0 116.0)))
0.2b	(* (* y (- x (/ 16.0 116.0))) (* (cbrt 3.0) (cbrt 3.0)))
0.3b	(* (* (* y (- x (/ 16.0 116.0))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite424.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log`
22×	`add-cbrt-cube` `pow-prod-down` `prod-exp` `cbrt-unprod`
14×	`add-sqr-sqrt`
13×	`associate-r`
9×	`*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`associate-l/` `associate-r/`
5×	`associate-l`
3×	`cbrt-prod` `flip3--` `*-commutative` `flip--` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `difference-of-squares`
1×	`times-frac` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 83

Calls

3 calls:

61.0ms	(* y (- x (/ 16.0 116.0)))
79.0ms	(* (* y (- x (/ 16.0 116.0))) (* (cbrt 3.0) (cbrt 3.0)))
279.0ms	(* (* (* y (- x (/ 16.0 116.0))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series406.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* y (- x (/ 16.0 116.0)))
215.0ms	(* (* y (- x (/ 16.0 116.0))) (* (cbrt 3.0) (cbrt 3.0)))
147.0ms	(* (* (* y (- x (/ 16.0 116.0))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify1.3s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	2101
1	380
0	133

prune349.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes241.0ms

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

sample798.0ms

Algorithm

intervals

Results

464.0ms

9147×

body

valid