Details

sample56.0ms

Algorithm

intervals

Results

22.0ms

331×

body

valid

simplify7.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
12	4273
11	1458
10	524
9	314
8	233
7	212
6	205
5	194
4	137
3	68
2	28
1	15
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) 6.0) z))
0.0b	(* (- y x) 6.0)
0.2b	(* (* (- y x) 6.0) z)

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`*-un-lft-identity`
6×	`add-cube-cbrt` `associate-r` `associate-l` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 53

Calls

3 calls:

14.0ms	(+ x (* (* (- y x) 6.0) z))
45.0ms	(* (- y x) 6.0)
79.0ms	(* (* (- y x) 6.0) z)

series211.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(+ x (* (* (- y x) 6.0) z))
52.0ms	(* (- y x) 6.0)
77.0ms	(* (* (- y x) 6.0) z)

simplify7.2s

Counts

62 → 62

Iterations

Iter	Nodes
done	5001
3	3604
2	825
1	254
0	98

prune505.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (* 6.0 z)))
0.2b	(* (- y x) (* 6.0 z))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

17.0ms	(+ x (* (- y x) (* 6.0 z)))
71.0ms	(* (- y x) (* 6.0 z))

series156.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(+ x (* (- y x) (* 6.0 z)))
68.0ms	(* (- y x) (* 6.0 z))

simplify4.0s

Counts

39 → 39

Iterations

Iter	Nodes
done	5039
3	2948
2	660
1	206
0	75

prune278.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
0.2b	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
0.5b	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))
0.6b	(* (- y x) (sqrt 6.0))

rewrite475.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`-un-lft-identity` `associate-l/`
10×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l` `sqrt-prod`
6×	`add-log-exp`
3×	`flip3--` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 83

Calls

4 calls:

15.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
301.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
104.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))
50.0ms	(* (- y x) (sqrt 6.0))

series823.0ms

Counts

4 → 12

Calls

4 calls:

276.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
267.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
172.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))
108.0ms	(* (- y x) (sqrt 6.0))

simplify3.1s

Counts

95 → 95

Iterations

Iter	Nodes
done	5004
2	1252
1	347
0	130

prune638.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- y x) (sqrt (sqrt 6.0)))
0.2b	(* (* (* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) (sqrt 6.0)) z)
0.3b	(* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0)))
0.6b	(* (* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) (sqrt 6.0))

rewrite2.0s

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log` `add-cbrt-cube`
27×	`associate-r`
24×	`sqrt-prod`
22×	`add-sqr-sqrt`
20×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
8×	`associate-l`
4×	`flip3--` `*-commutative` `flip--` `add-log-exp`
3×	`unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 108

Calls

4 calls:

62.0ms	(* (- y x) (sqrt (sqrt 6.0)))
1.4s	(* (* (* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) (sqrt 6.0)) z)
113.0ms	(* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0)))
421.0ms	(* (* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) (sqrt 6.0))

series1.5s

Counts

4 → 12

Calls

4 calls:

183.0ms	(* (- y x) (sqrt (sqrt 6.0)))
331.0ms	(* (* (* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) (sqrt 6.0)) z)
388.0ms	(* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0)))
600.0ms	(* (* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) (sqrt 6.0))

simplify4.2s

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
2	1526
1	407
0	151

prune763.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes419.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.2s

10106×

body

valid