Details

sample113.0ms

Algorithm

intervals

Results

59.0ms

510×

body

valid

simplify2.4s

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.5b	(* (* j 27.0) k)
2.9b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
6.3b	(* (* (* x 18.0) y) z)

rewrite377.0ms

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:

19.0ms	(* (* x 18.0) y)
17.0ms	(* (* j 27.0) k)
237.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
102.0ms	(* (* (* x 18.0) y) z)

series245.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* x 18.0) y)
26.0ms	(* (* j 27.0) k)
163.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
34.0ms	(* (* (* x 18.0) y) z)

simplify994.0ms

Counts: 93 → 93

prune428.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.4b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* j (* 27.0 k))
2.9b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
6.3b	(* (* (* x 18.0) y) z)

rewrite376.0ms

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:

26.0ms	(* (* x 18.0) y)
22.0ms	(* j (* 27.0 k))
264.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
61.0ms	(* (* (* x 18.0) y) z)

series239.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* x 18.0) y)
27.0ms	(* j (* 27.0 k))
156.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
33.0ms	(* (* (* x 18.0) y) z)

simplify913.0ms

Counts: 93 → 93

prune545.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.4b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.2b	(* j (* 27.0 k))
2.9b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
6.3b	(* (* x (* 18.0 y)) z)

rewrite726.0ms

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:

29.0ms	(* x (* 18.0 y))
27.0ms	(* j (* 27.0 k))
595.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
71.0ms	(* (* x (* 18.0 y)) z)

series266.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* x (* 18.0 y))
33.0ms	(* j (* 27.0 k))
149.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
48.0ms	(* (* x (* 18.0 y)) z)

simplify1.0s

Counts: 93 → 93

prune405.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.4b

localize53.0ms

Local error

Found 4 expressions with local error:

4.3b	(cbrt (* t (- (* (* (* x 18.0) y) z) (* a 4.0))))
6.3b	(* (* (* x 18.0) y) z)
6.3b	(* (* (* x 18.0) y) z)
6.3b	(* (* (* x 18.0) y) z)

rewrite350.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`associate-l` `*-commutative`
2×	`cbrt-div` `associate-*r/`
1×	`cbrt-prod` `flip3--` `pow1/3` `flip--`

Counts

4 → 74

Calls

4 calls:

116.0ms	(cbrt (* t (- (* (* (* x 18.0) y) z) (* a 4.0))))
89.0ms	(* (* (* x 18.0) y) z)
80.0ms	(* (* (* x 18.0) y) z)
63.0ms	(* (* (* x 18.0) y) z)

series377.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(cbrt (* t (- (* (* (* x 18.0) y) z) (* a 4.0))))
42.0ms	(* (* (* x 18.0) y) z)
40.0ms	(* (* (* x 18.0) y) z)
45.0ms	(* (* (* x 18.0) y) z)

simplify657.0ms

Counts: 86 → 86

prune567.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.4b

regimes991.0ms

Accuracy

0% (3.5b remaining)

Error of 5.6b against oracle of 2.2b and baseline of 5.6b

bsearch441.0ms

Steps

Iters	Range		Point
8	1.3798075208453053e-90	7.241411645423096e-87	1.205035209333235e-88
9	-1.2719070144958227e+47	-2.6409389985668902e+39	-4.053702415850972e+42

simplify984.0ms

end0.0ms

sample4.8s

Algorithm

intervals

Results

3.0s

16346×

body

valid