Details

sample41.0ms

Algorithm

intervals

Results

17.0ms

371×

body

valid

simplify6.0ms

Counts: 1 → 1

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
5.3b	(* (* a z) b)

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 56

Calls

4 calls:

35.0ms	(+ (+ x (* y z)) (* t a))
102.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
8.0ms	(+ x (* y z))
36.0ms	(* (* a z) b)

series247.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(+ (+ x (* y z)) (* t a))
108.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
35.0ms	(+ x (* y z))
36.0ms	(* (* a z) b)

simplify54.0ms

Counts: 68 → 68

prune199.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ t (* z b))
0.0b	(+ x (* a (+ t (* z b))))
0.0b	(+ (* y z) (+ x (* a (+ t (* z b)))))
2.5b	(* a (+ t (* z b)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

8.0ms	(+ t (* z b))
8.0ms	(+ x (* a (+ t (* z b))))
21.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
30.0ms	(* a (+ t (* z b)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ t (* z b))
87.0ms	(+ x (* a (+ t (* z b))))
123.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
83.0ms	(* a (+ t (* z b)))

simplify35.0ms

Counts: 71 → 71

prune207.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.4b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
4.1b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
138.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
46.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series657.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(cbrt b)
248.0ms	(cbrt b)
49.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
108.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify58.0ms

Counts: 86 → 86

prune338.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
1.2b	(* (cbrt a) (+ t (* z b)))
1.7b	(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
13×	`add-sqr-sqrt`
11×	`add-cbrt-cube`
10×	`cbrt-prod`
9×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`associate-*r/`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-r` `add-log-exp`
2×	`flip3-+` `pow1/3` `*-commutative` `flip-+` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
27.0ms	(* (cbrt a) (+ t (* z b)))
78.0ms	(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))

series889.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(cbrt a)
231.0ms	(cbrt a)
306.0ms	(* (cbrt a) (+ t (* z b)))
121.0ms	(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))

simplify58.0ms

Counts: 88 → 88

prune353.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes377.0ms

Accuracy

-40.4% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 2.0b

bsearch149.0ms

Steps

Iters	Range		Point
9	0.014883564325231193	40146.29179367402	5.016277967361233
5	-6.244733325398454e+134	-2.7121193577233562e+134	-2.7469216095314014e+134

simplify41.0ms

end0.0ms

sample2.3s

Algorithm

intervals

Results

784.0ms

11778×

body

valid