Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

311×

body

valid

simplify560.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

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

rewrite105.0ms

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--` `flip--`
2×	`times-frac` `*-commutative` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

3 → 58

Calls

3 calls:

8.0ms	(- x (/ 16.0 116.0))
32.0ms	(* (- x (/ 16.0 116.0)) 3.0)
64.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series159.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- x (/ 16.0 116.0))
75.0ms	(* (- x (/ 16.0 116.0)) 3.0)
53.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify2.5s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
3	2627
2	675
1	231
0	98

prune256.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite68.0ms

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/` `flip--` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `associate-r` `*-commutative`

Counts

2 → 38

Calls

2 calls:

8.0ms	(- x (/ 16.0 116.0))
59.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

series75.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(- x (/ 16.0 116.0))
40.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify1.9s

Counts

44 → 44

Iterations

Iter	Nodes
done	5001
3	2086
2	556
1	187
0	76

prune207.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `add-log-exp`
2×	`pow-prod-down` `associate-*r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

39.0ms	(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))
10.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
10.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
11.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))

series832.0ms

Counts

4 → 12

Calls

4 calls:

277.0ms	(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))
154.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
173.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
228.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))

simplify2.8s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
3	3942
2	1224
1	434
0	172

prune525.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite675.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

16.0ms	(- x (/ 16.0 116.0))
78.0ms	(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
450.0ms	(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
126.0ms	(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series537.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- x (/ 16.0 116.0))
179.0ms	(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
133.0ms	(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
195.0ms	(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify3.1s

Counts

103 → 103

Iterations

Iter	Nodes
done	5006
3	4251
2	1077
1	358
0	139

prune315.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes368.0ms

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

sample730.0ms

Algorithm

intervals

Results

489.0ms

9158×

body

valid