Details

sample149.0ms

Algorithm

intervals

Results

79.0ms

614×

body

valid

simplify84.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
5.3b	(* x (- (* y z) (* t a)))
5.8b	(* j (- (* c t) (* i y)))
6.1b	(* b (- (* c z) (* i a)))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

109.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
32.0ms	(* x (- (* y z) (* t a)))
30.0ms	(* j (- (* c t) (* i y)))
47.0ms	(* b (- (* c z) (* i a)))

series966.0ms

Counts

4 → 12

Calls

4 calls:

714.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
76.0ms	(* x (- (* y z) (* t a)))
86.0ms	(* j (- (* c t) (* i y)))
90.0ms	(* b (- (* c z) (* i a)))

simplify157.0ms

Counts: 119 → 119

prune832.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 4.1b

localize46.0ms

Local error

Found 4 expressions with local error:

5.5b	(cbrt (* x (- (* y z) (* t a))))
5.5b	(cbrt (* x (- (* y z) (* t a))))
5.8b	(* j (- (* c t) (* i y)))
6.1b	(* b (- (* c z) (* i a)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

22.0ms	(cbrt (* x (- (* y z) (* t a))))
15.0ms	(cbrt (* x (- (* y z) (* t a))))
38.0ms	(* j (- (* c t) (* i y)))
41.0ms	(* b (- (* c z) (* i a)))

series674.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(cbrt (* x (- (* y z) (* t a))))
215.0ms	(cbrt (* x (- (* y z) (* t a))))
109.0ms	(* j (- (* c t) (* i y)))
113.0ms	(* b (- (* c z) (* i a)))

simplify35.0ms

Counts: 82 → 82

prune471.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 4.1b

localize45.0ms

Local error

Found 4 expressions with local error:

5.5b	(cbrt (* x (- (* y z) (* t a))))
5.8b	(* j (- (* c t) (* i y)))
6.1b	(* b (- (* c z) (* i a)))
6.6b	(cbrt (- (* y z) (* t a)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

12.0ms	(cbrt (* x (- (* y z) (* t a))))
34.0ms	(* j (- (* c t) (* i y)))
30.0ms	(* b (- (* c z) (* i a)))
7.0ms	(cbrt (- (* y z) (* t a)))

series481.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(cbrt (* x (- (* y z) (* t a))))
77.0ms	(* j (- (* c t) (* i y)))
109.0ms	(* b (- (* c z) (* i a)))
139.0ms	(cbrt (- (* y z) (* t a)))

simplify42.0ms

Counts: 84 → 84

prune696.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 4.1b

localize77.0ms

Local error

Found 4 expressions with local error:

6.1b	(* b (- (* c z) (* i a)))
6.6b	(cbrt (- (* y z) (* t a)))
6.6b	(cbrt (- (* y z) (* t a)))
6.6b	(cbrt (- (* y z) (* t a)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

56.0ms	(* b (- (* c z) (* i a)))
12.0ms	(cbrt (- (* y z) (* t a)))
12.0ms	(cbrt (- (* y z) (* t a)))
14.0ms	(cbrt (- (* y z) (* t a)))

series613.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* b (- (* c z) (* i a)))
157.0ms	(cbrt (- (* y z) (* t a)))
179.0ms	(cbrt (- (* y z) (* t a)))
182.0ms	(cbrt (- (* y z) (* t a)))

simplify94.0ms

Counts: 75 → 75

prune806.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 4.1b

regimes1.6s

Accuracy

-25.2% (10.0b remaining)

Error of 14.6b against oracle of 4.6b and baseline of 12.6b

bsearch240.0ms

Steps

Iters	Range		Point
5	-1.278305097306608e-17	-5.807214666017762e-18	-1.2656371042676428e-17
8	-1.0653851759561117e+98	-1.5932471902491127e+94	-1.6138606296830095e+94

simplify105.0ms

end0.0ms

sample5.9s

Algorithm

intervals

Results

3.8s

19133×

body

valid