Details

sample106.0ms

Algorithm

intervals

Results

54.0ms

625×

body

valid

simplify1.2s

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize69.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) (* t a))
4.1b	(* j (- (* c t) (* i y)))
4.6b	(* x (- (* y z) (* t a)))
6.3b	(* b (- (* c z) (* i a)))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

9.0ms	(- (* y z) (* t a))
33.0ms	(* j (- (* c t) (* i y)))
56.0ms	(* x (- (* y z) (* t a)))
45.0ms	(* b (- (* c z) (* i a)))

series354.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (* y z) (* t a))
105.0ms	(* j (- (* c t) (* i y)))
107.0ms	(* x (- (* y z) (* t a)))
82.0ms	(* b (- (* c z) (* i a)))

simplify716.0ms

Counts: 96 → 96

prune580.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 7.8b

localize48.0ms

Local error

Found 4 expressions with local error:

2.8b	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
3.6b	(* (cbrt b) (- (* c z) (* i a)))
4.1b	(* j (- (* c t) (* i y)))
4.6b	(* x (- (* y z) (* t a)))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

71.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
37.0ms	(* (cbrt b) (- (* c z) (* i a)))
30.0ms	(* j (- (* c t) (* i y)))
46.0ms	(* x (- (* y z) (* t a)))

series645.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
344.0ms	(* (cbrt b) (- (* c z) (* i a)))
94.0ms	(* j (- (* c t) (* i y)))
91.0ms	(* x (- (* y z) (* t a)))

simplify984.0ms

Counts: 120 → 120

prune687.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 6.5b

localize28.0ms

Local error

Found 4 expressions with local error:

4.1b	(* j (- (* c t) (* i y)))
4.6b	(* x (- (* y z) (* t a)))
5.3b	(* (- b) (* i a))
5.8b	(* z (* b c))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

32.0ms	(* j (- (* c t) (* i y)))
29.0ms	(* x (- (* y z) (* t a)))
30.0ms	(* (- b) (* i a))
18.0ms	(* z (* b c))

series272.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* j (- (* c t) (* i y)))
111.0ms	(* x (- (* y z) (* t a)))
32.0ms	(* (- b) (* i a))
29.0ms	(* z (* b c))

simplify904.0ms

Counts: 104 → 104

prune623.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 5.5b

localize38.0ms

Local error

Found 4 expressions with local error:

4.1b	(* j (- (* c t) (* i y)))
4.6b	(* x (- (* y z) (* t a)))
5.6b	(* a (* i b))
5.8b	(* z (* b c))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

43.0ms	(* j (- (* c t) (* i y)))
61.0ms	(* x (- (* y z) (* t a)))
32.0ms	(* a (* i b))
18.0ms	(* z (* b c))

series245.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* j (- (* c t) (* i y)))
79.0ms	(* x (- (* y z) (* t a)))
34.0ms	(* a (* i b))
38.0ms	(* z (* b c))

simplify807.0ms

Counts: 96 → 96

prune383.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 5.0b

regimes2.2s

Accuracy

12.5% (6.4b remaining)

Error of 12.2b against oracle of 5.8b and baseline of 13.1b

bsearch224.0ms

Steps

Iters	Range		Point
5	0.0018994379119068887	0.006877365529311867	0.00588003701470001
5	-8.069798917012029e-249	-2.0313169459678982e-249	-2.2048212568945363e-249

simplify1.5s

end0.0ms

sample5.2s

Algorithm

intervals

Results

3.4s

19083×

body

valid