Details

sample89.0ms

Algorithm

intervals

Results

40.0ms

480×

body

valid

simplify2.3s

Counts: 1 → 1

prune39.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
3.1b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.7b	(* (* (* x 18.0) y) z)

rewrite400.0ms

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:

17.0ms	(* (* x 18.0) y)
18.0ms	(* (* j 27.0) k)
273.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
89.0ms	(* (* (* x 18.0) y) z)

series190.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
19.0ms	(* (* j 27.0) k)
122.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
29.0ms	(* (* (* x 18.0) y) z)

simplify893.0ms

Counts: 93 → 93

prune426.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.2b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* x (* 18.0 y))
3.1b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
4.7b	(* (* x (* 18.0 y)) z)

rewrite331.0ms

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:

18.0ms	(* (* j 27.0) k)
17.0ms	(* x (* 18.0 y))
228.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
66.0ms	(* (* x (* 18.0 y)) z)

series191.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* j 27.0) k)
23.0ms	(* x (* 18.0 y))
119.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
29.0ms	(* (* x (* 18.0 y)) z)

simplify961.0ms

Counts: 93 → 93

prune412.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.7b	(* j (* 27.0 k))
3.1b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
4.7b	(* (* x (* 18.0 y)) z)

rewrite335.0ms

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:

16.0ms	(* x (* 18.0 y))
21.0ms	(* j (* 27.0 k))
221.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
74.0ms	(* (* x (* 18.0 y)) z)

series213.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* x (* 18.0 y))
19.0ms	(* j (* 27.0 k))
142.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
31.0ms	(* (* x (* 18.0 y)) z)

simplify750.0ms

Counts: 93 → 93

prune416.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt j)
0.8b	(* (cbrt j) (* 27.0 k))
3.1b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
4.7b	(* (* x (* 18.0 y)) z)

rewrite630.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log`
18×	`add-cbrt-cube`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-r`
6×	`cbrt-prod`
4×	`add-log-exp`
3×	`*-commutative`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow1/3` `flip--` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

1.0ms	(cbrt j)
31.0ms	(* (cbrt j) (* 27.0 k))
548.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
47.0ms	(* (* x (* 18.0 y)) z)

series626.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(cbrt j)
153.0ms	(* (cbrt j) (* 27.0 k))
178.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
45.0ms	(* (* x (* 18.0 y)) z)

simplify678.0ms

Counts: 89 → 89

prune416.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.1b

regimes1.1s

Accuracy

7.4% (3.8b remaining)

Error of 5.9b against oracle of 2.0b and baseline of 6.2b

bsearch136.0ms

Steps

Iters	Range		Point
5	-5.131039378304952e+144	-1.3869454871739517e+144	-2.5331407724476638e+144

simplify1.4s

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.8s

16159×

body

valid