Details

sample184.0ms

Algorithm

intervals

Results

102.0ms

604×

body

valid

simplify1.3s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* c a) (* y i))
4.2b	(* b (- (* c z) (* t i)))
6.3b	(* j (- (* c a) (* y i)))
6.6b	(* x (- (* y z) (* t a)))

rewrite148.0ms

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:

14.0ms	(- (* c a) (* y i))
37.0ms	(* b (- (* c z) (* t i)))
31.0ms	(* j (- (* c a) (* y i)))
62.0ms	(* x (- (* y z) (* t a)))

series291.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (* c a) (* y i))
81.0ms	(* b (- (* c z) (* t i)))
75.0ms	(* j (- (* c a) (* y i)))
88.0ms	(* x (- (* y z) (* t a)))

simplify766.0ms

Counts: 96 → 96

prune536.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 9.2b

localize26.0ms

Local error

Found 4 expressions with local error:

4.2b	(* b (- (* c z) (* t i)))
4.7b	(* j (* c a))
6.2b	(* j (- (* y i)))
6.6b	(* x (- (* y z) (* t a)))

rewrite105.0ms

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:

32.0ms	(* b (- (* c z) (* t i)))
18.0ms	(* j (* c a))
14.0ms	(* j (- (* y i)))
38.0ms	(* x (- (* y z) (* t a)))

series215.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* b (- (* c z) (* t i)))
27.0ms	(* j (* c a))
30.0ms	(* j (- (* y i)))
78.0ms	(* x (- (* y z) (* t a)))

simplify888.0ms

Counts: 100 → 100

prune605.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.7b

localize30.0ms

Local error

Found 4 expressions with local error:

4.2b	(* b (- (* c z) (* t i)))
4.7b	(* j (* c a))
5.0b	(* (* j y) (- i))
6.6b	(* x (- (* y z) (* t a)))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
17×	`associate-r`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
8×	`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×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 92

Calls

4 calls:

32.0ms	(* b (- (* c z) (* t i)))
18.0ms	(* j (* c a))
23.0ms	(* (* j y) (- i))
38.0ms	(* x (- (* y z) (* t a)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* b (- (* c z) (* t i)))
28.0ms	(* j (* c a))
33.0ms	(* (* j y) (- i))
75.0ms	(* x (- (* y z) (* t a)))

simplify958.0ms

Counts: 104 → 104

prune628.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 6.2b

localize46.0ms

Local error

Found 4 expressions with local error:

6.6b	(* x (- (* y z) (* t a)))
14.2b	(cbrt (* j (* c a)))
14.2b	(cbrt (* j (* c a)))
14.2b	(cbrt (* j (* c a)))

rewrite125.0ms

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:

59.0ms	(* x (- (* y z) (* t a)))
23.0ms	(cbrt (* j (* c a)))
23.0ms	(cbrt (* j (* c a)))
18.0ms	(cbrt (* j (* c a)))

series554.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* x (- (* y z) (* t a)))
158.0ms	(cbrt (* j (* c a)))
144.0ms	(cbrt (* j (* c a)))
132.0ms	(cbrt (* j (* c a)))

simplify1.6s

Counts: 63 → 63

prune424.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 6.2b

regimes1.5s

Accuracy

36.1% (4.5b remaining)

Error of 10.6b against oracle of 6.1b and baseline of 13.1b

bsearch386.0ms

Steps

Iters	Range		Point
8	8.961289147163641e-12	5.068410315168202e-07	4.697230347509345e-07
8	-1.4269193098319552e+68	-1.6929459099459088e+64	-1.4989295303264906e+66

simplify1.2s

end0.0ms

sample5.3s

Algorithm

intervals

Results

3.4s

19144×

body

valid