Details

sample34.0ms

Algorithm

intervals

Results

14.0ms

330×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	1501
10	523
9	313
8	232
7	211
6	204
5	193
4	137
3	68
2	28
1	15
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) 6.0) z))
0.0b	(* (- y x) 6.0)
0.3b	(* (* (- y x) 6.0) z)

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

8.0ms	(+ x (* (* (- y x) 6.0) z))
28.0ms	(* (- y x) 6.0)
48.0ms	(* (* (- y x) 6.0) z)

series146.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(+ x (* (* (- y x) 6.0) z))
32.0ms	(* (- y x) 6.0)
59.0ms	(* (* (- y x) 6.0) z)

simplify2.8s

Counts

62 → 62

Iterations

Iter	Nodes
done	5002
3	3691
2	821
1	253
0	98

prune287.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* 6.0 (* z (- y x))))
0.0b	(* z (- y x))
0.3b	(* 6.0 (* z (- y x)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

8.0ms	(+ x (* 6.0 (* z (- y x))))
17.0ms	(* z (- y x))
37.0ms	(* 6.0 (* z (- y x)))

series202.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(+ x (* 6.0 (* z (- y x))))
53.0ms	(* z (- y x))
62.0ms	(* 6.0 (* z (- y x)))

simplify2.9s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
3	4306
2	840
1	276
0	107

prune349.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
0.3b	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
0.5b	(* (- y x) (sqrt 6.0))
0.6b	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

6.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
143.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
26.0ms	(* (- y x) (sqrt 6.0))
46.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

series494.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
162.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
61.0ms	(* (- y x) (sqrt 6.0))
101.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

simplify1.6s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	1225
1	344
0	130

prune429.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* 6.0 (* z (- y x)))) (cbrt (* 6.0 (* z (- y x)))))
2.6b	(cbrt (* 6.0 (* z (- y x))))
2.6b	(cbrt (* 6.0 (* z (- y x))))
2.6b	(cbrt (* 6.0 (* z (- y x))))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

38×	`associate-*r/`
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-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

34.0ms	(* (cbrt (* 6.0 (* z (- y x)))) (cbrt (* 6.0 (* z (- y x)))))
30.0ms	(cbrt (* 6.0 (* z (- y x))))
27.0ms	(cbrt (* 6.0 (* z (- y x))))
30.0ms	(cbrt (* 6.0 (* z (- y x))))

series1.2s

Counts

4 → 12

Calls

4 calls:

346.0ms	(* (cbrt (* 6.0 (* z (- y x)))) (cbrt (* 6.0 (* z (- y x)))))
315.0ms	(cbrt (* 6.0 (* z (- y x))))
273.0ms	(cbrt (* 6.0 (* z (- y x))))
261.0ms	(cbrt (* 6.0 (* z (- y x))))

simplify1.6s

Counts

84 → 84

Iterations

Iter	Nodes
done	5007
3	2443
2	778
1	300
0	125

prune518.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes234.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample914.0ms

Algorithm

intervals

Results

642.0ms

10158×

body

valid