Details

sample151.0ms

Algorithm

intervals

Results

97.0ms

634×

body

valid

simplify2.7s

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize66.0ms

Local error

Found 4 expressions with local error:

5.7b	(* b (- (* c z) (* i a)))
5.2b	(* x (- (* y z) (* t a)))
3.3b	(* j (- (* c t) (* i y)))
0.3b	(- (* c z) (* i a))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`associate-r` `associate-l`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `add-log-exp`
4×	`flip3--` `insert-posit16` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 88

Calls

4 calls:

Slowest

36.0ms	(* j (- (* c t) (* i y)))
34.0ms	(* b (- (* c z) (* i a)))
30.0ms	(* x (- (* y z) (* t a)))
11.0ms	(- (* c z) (* i a))

series336.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

104.0ms	(* b (- (* c z) (* i a)))
101.0ms	(* j (- (* c t) (* i y)))
71.0ms	(* x (- (* y z) (* t a)))
59.0ms	(- (* c z) (* i a))

simplify1.6s

Counts: 100 → 100

prune1.8s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.5b

localize73.0ms

Local error

Found 4 expressions with local error:

7.2b	(cbrt (* x (- (* y z) (* t a))))
7.2b	(cbrt (* x (- (* y z) (* t a))))
7.2b	(cbrt (* x (- (* y z) (* t a))))
5.7b	(* b (- (* c z) (* i a)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `associate-*r/`
6×	`pow1` `cbrt-div` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`flip3--` `insert-posit16` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 61

Calls

4 calls:

Slowest

29.0ms	(* b (- (* c z) (* i a)))
18.0ms	(cbrt (* x (- (* y z) (* t a))))
14.0ms	(cbrt (* x (- (* y z) (* t a))))
14.0ms	(cbrt (* x (- (* y z) (* t a))))

series584.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

184.0ms	(cbrt (* x (- (* y z) (* t a))))
166.0ms	(cbrt (* x (- (* y z) (* t a))))
146.0ms	(cbrt (* x (- (* y z) (* t a))))
87.0ms	(* b (- (* c z) (* i a)))

simplify899.0ms

Counts: 73 → 73

prune1.6s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.5b

localize79.0ms

Local error

Found 4 expressions with local error:

7.8b	(cbrt (- (* c z) (* i a)))
7.8b	(cbrt (- (* c z) (* i a)))
7.8b	(cbrt (- (* c z) (* i a)))
5.7b	(* b (* (* (cbrt (- (* c z) (* i a))) (cbrt (- (* c z) (* i a)))) (cbrt (- (* c z) (* i a)))))

rewrite309.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
34×	`associate-*r/`
30×	`flip3--` `flip--`
28×	`frac-times`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
9×	`cbrt-prod` `add-cbrt-cube`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 90

Calls

4 calls:

Slowest

284.0ms	(* b (* (* (cbrt (- (* c z) (* i a))) (cbrt (- (* c z) (* i a)))) (cbrt (- (* c z) (* i a)))))
8.0ms	(cbrt (- (* c z) (* i a)))
8.0ms	(cbrt (- (* c z) (* i a)))
7.0ms	(cbrt (- (* c z) (* i a)))

series591.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

168.0ms	(cbrt (- (* c z) (* i a)))
162.0ms	(cbrt (- (* c z) (* i a)))
153.0ms	(cbrt (- (* c z) (* i a)))
107.0ms	(* b (* (* (cbrt (- (* c z) (* i a))) (cbrt (- (* c z) (* i a)))) (cbrt (- (* c z) (* i a)))))

simplify1.2s

Counts: 102 → 102

prune2.2s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 6.5b

localize62.0ms

Local error

Found 4 expressions with local error:

7.2b	(cbrt (* x (- (* y z) (* t a))))
7.2b	(cbrt (* x (- (* y z) (* t a))))
6.8b	(cbrt (- (* y z) (* t a)))
5.7b	(* b (- (* c z) (* i a)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `cbrt-div` `add-cbrt-cube` `associate-*r/` `add-exp-log`
5×	`cbrt-prod`
4×	`flip3--` `insert-posit16` `flip--` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

Slowest

24.0ms	(* b (- (* c z) (* i a)))
14.0ms	(cbrt (* x (- (* y z) (* t a))))
9.0ms	(cbrt (* x (- (* y z) (* t a))))
5.0ms	(cbrt (- (* y z) (* t a)))

series525.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

165.0ms	(cbrt (* x (- (* y z) (* t a))))
143.0ms	(cbrt (* x (- (* y z) (* t a))))
139.0ms	(cbrt (- (* y z) (* t a)))
78.0ms	(* b (- (* c z) (* i a)))

simplify920.0ms

Counts: 75 → 75

prune1.6s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 6.5b

regimes2.1s

Accuracy

2.3% (3.6b remaining)

Error of 12.2b against oracle of 8.5b and baseline of 12.2b

bsearch394.0ms

end0.0ms

sample5.9s

Algorithm

intervals

Results

4.2s

18963×

body

valid