Details

sample156.0ms

Algorithm

intervals

Results

80.0ms

531×

body

valid

simplify180.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
2.3b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
6.6b	(* (* (* x 18.0) y) z)

rewrite431.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

31.0ms	(* (* x 18.0) y)
18.0ms	(* (* j 27.0) k)
297.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
81.0ms	(* (* (* x 18.0) y) z)

series287.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* x 18.0) y)
27.0ms	(* (* j 27.0) k)
183.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
44.0ms	(* (* (* x 18.0) y) z)

simplify74.0ms

Counts: 93 → 93

prune416.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* b c) (+ (* (* x 4.0) i) (* (* j 27.0) k)))
0.2b	(* (* j 27.0) k)
2.3b	(* t (- (* (* x 18.0) (* y z)) (* a 4.0)))
4.3b	(* (* x 18.0) (* y z))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt` `add-log-exp`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
5×	`associate-l`
3×	`sub-neg` `*-commutative`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `diff-log` `associate-*r/` `flip--`
1×	`sum-log` `associate--r+` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

30.0ms	(- (* b c) (+ (* (* x 4.0) i) (* (* j 27.0) k)))
18.0ms	(* (* j 27.0) k)
104.0ms	(* t (- (* (* x 18.0) (* y z)) (* a 4.0)))
33.0ms	(* (* x 18.0) (* y z))

series274.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(- (* b c) (+ (* (* x 4.0) i) (* (* j 27.0) k)))
19.0ms	(* (* j 27.0) k)
125.0ms	(* t (- (* (* x 18.0) (* y z)) (* a 4.0)))
30.0ms	(* (* x 18.0) (* y z))

simplify52.0ms

Counts: 90 → 90

prune376.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* y z))
0.2b	(* (* j 27.0) k)
2.3b	(* t (- (* x (* 18.0 (* y z))) (* a 4.0)))
4.2b	(* x (* 18.0 (* y z)))

rewrite324.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-l`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

25.0ms	(* 18.0 (* y z))
29.0ms	(* (* j 27.0) k)
216.0ms	(* t (- (* x (* 18.0 (* y z))) (* a 4.0)))
50.0ms	(* x (* 18.0 (* y z)))

series271.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* 18.0 (* y z))
27.0ms	(* (* j 27.0) k)
172.0ms	(* t (- (* x (* 18.0 (* y z))) (* a 4.0)))
42.0ms	(* x (* 18.0 (* y z)))

simplify61.0ms

Counts: 93 → 93

prune465.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.7b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.5b	(* (* 18.0 y) z)
2.3b	(* t (- (* x (* (* 18.0 y) z)) (* a 4.0)))
4.2b	(* x (* (* 18.0 y) z))

rewrite297.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

25.0ms	(* (* j 27.0) k)
29.0ms	(* (* 18.0 y) z)
193.0ms	(* t (- (* x (* (* 18.0 y) z)) (* a 4.0)))
47.0ms	(* x (* (* 18.0 y) z))

series195.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* j 27.0) k)
20.0ms	(* (* 18.0 y) z)
125.0ms	(* t (- (* x (* (* 18.0 y) z)) (* a 4.0)))
30.0ms	(* x (* (* 18.0 y) z))

simplify47.0ms

Counts: 93 → 93

prune407.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.7b

regimes1.3s

Accuracy

0% (3.9b remaining)

Error of 6.1b against oracle of 2.1b and baseline of 6.1b

bsearch421.0ms

Steps

Iters	Range		Point
9	2.6006680554349294e-56	5.1422644842082015e-50	6.442780946635146e-52
9	-6.302746527474364e-211	-2.033591668177375e-217	-2.4536124393804765e-211

simplify38.0ms

end0.0ms

sample5.2s

Algorithm

intervals

Results

3.3s

16042×

body

valid