Details

sample188.0ms

Algorithm

intervals

Results

94.0ms

609×

body

valid

simplify1.4s

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.7b

localize68.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c z) (* i a))
5.6b	(* b (- (* c z) (* i a)))
5.9b	(* x (- (* y z) (* t a)))
6.1b	(* j (- (* c t) (* i y)))

rewrite129.0ms

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	(- (* c z) (* i a))
30.0ms	(* b (- (* c z) (* i a)))
35.0ms	(* x (- (* y z) (* t a)))
51.0ms	(* j (- (* c t) (* i y)))

series445.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(- (* c z) (* i a))
98.0ms	(* b (- (* c z) (* i a)))
133.0ms	(* x (- (* y z) (* t a)))
139.0ms	(* j (- (* c t) (* i y)))

simplify912.0ms

Counts: 96 → 96

prune565.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 10.7b

localize35.0ms

Local error

Found 4 expressions with local error:

4.2b	(* j (* c t))
5.6b	(* b (- (* c z) (* i a)))
5.9b	(* x (- (* y z) (* t a)))
6.1b	(* j (- (* i y)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

17.0ms	(* j (* c t))
34.0ms	(* b (- (* c z) (* i a)))
32.0ms	(* x (- (* y z) (* t a)))
13.0ms	(* j (- (* i y)))

series250.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* j (* c t))
102.0ms	(* b (- (* c z) (* i a)))
88.0ms	(* x (- (* y z) (* t a)))
32.0ms	(* j (- (* i y)))

simplify932.0ms

Counts: 100 → 100

prune603.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 8.0b

localize36.0ms

Local error

Found 4 expressions with local error:

4.2b	(* j (* c t))
4.7b	(* i (* y j))
5.6b	(* b (- (* c z) (* i a)))
5.9b	(* x (- (* y z) (* t a)))

rewrite143.0ms

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:

30.0ms	(* j (* c t))
25.0ms	(* i (* y j))
39.0ms	(* b (- (* c z) (* i a)))
46.0ms	(* x (- (* y z) (* t a)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* j (* c t))
38.0ms	(* i (* y j))
100.0ms	(* b (- (* c z) (* i a)))
117.0ms	(* x (- (* y z) (* t a)))

simplify810.0ms

Counts: 96 → 96

prune617.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 7.4b

localize47.0ms

Local error

Found 4 expressions with local error:

5.9b	(* x (- (* y z) (* t a)))
18.3b	(cbrt (* i (* y j)))
18.3b	(cbrt (* i (* y j)))
18.3b	(cbrt (* i (* y j)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

50.0ms	(* x (- (* y z) (* t a)))
20.0ms	(cbrt (* i (* y j)))
21.0ms	(cbrt (* i (* y j)))
18.0ms	(cbrt (* i (* y j)))

series403.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* x (- (* y z) (* t a)))
104.0ms	(cbrt (* i (* y j)))
106.0ms	(cbrt (* i (* y j)))
114.0ms	(cbrt (* i (* y j)))

simplify1.3s

Counts: 63 → 63

prune566.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 7.4b

regimes1.8s

Accuracy

38.9% (4.3b remaining)

Error of 10.3b against oracle of 6.0b and baseline of 13.1b

bsearch261.0ms

Steps

Iters	Range		Point
8	3.931789930549291e+38	9.275445509327499e+42	1.027725185702188e+40
5	-4.450035222801797e+117	-1.532578572040141e+117	-2.173506196892532e+117

simplify1.3s

end0.0ms

sample6.3s

Algorithm

intervals

Results

3.9s

19365×

body

valid