Details

sample66.0ms

Algorithm

intervals

Results

28.0ms

528×

body

valid

simplify89.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
6.4b	(* (* y 4.0) (- (* z z) t))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`sub-neg`
4×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in` `associate-r` `associate--r+` `add-log-exp`
3×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-*r/` `flip--`
1×	`diff-log` `associate-l` `*-commutative` `difference-of-squares`

Counts

2 → 41

Calls

2 calls:

15.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
56.0ms	(* (* y 4.0) (- (* z z) t))

series194.0ms

Counts

2 → 6

Calls

2 calls:

106.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
88.0ms	(* (* y 4.0) (- (* z z) t))

simplify44.0ms

Counts: 47 → 47

prune131.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.5b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t)))
0.0b	(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t))))
11.5b	(* (* y 4.0) (* z z))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `distribute-rgt-neg-out`
3×	`add-cube-cbrt` `*-un-lft-identity`
2×	`diff-log` `unsub-neg` `sum-log` `associate--r-`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate-r` `associate-l` `*-commutative` `flip--` `flip-+` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

3 → 53

Calls

3 calls:

43.0ms	(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t)))
97.0ms	(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t))))
43.0ms	(* (* y 4.0) (* z z))

series223.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t)))
89.0ms	(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t))))
43.0ms	(* (* y 4.0) (* z z))

simplify56.0ms

Counts: 62 → 62

prune180.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t)))
0.0b	(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t))))
0.2b	(* (* (* y 4.0) z) z)

rewrite344.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `*-un-lft-identity` `distribute-rgt-neg-out`
3×	`associate-r`
2×	`diff-log` `unsub-neg` `sum-log` `associate--r-`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate-l` `*-commutative` `flip--` `flip-+` `associate--r+` `difference-of-squares`

Counts

3 → 51

Calls

3 calls:

79.0ms	(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t)))
169.0ms	(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t))))
91.0ms	(* (* (* y 4.0) z) z)

series255.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t)))
113.0ms	(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t))))
45.0ms	(* (* (* y 4.0) z) z)

simplify49.0ms

Counts: 60 → 60

prune137.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

12.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.0s

Counts

4 → 12

Calls

4 calls:

265.0ms	(* (cbrt z) (cbrt z))
271.0ms	(cbrt z)
261.0ms	(cbrt z)
230.0ms	(cbrt z)

simplify38.0ms

Counts: 85 → 85

prune373.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes603.0ms

Accuracy

-9558.9% (6.0b remaining)

Error of 6.0b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify105.0ms

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.3s

15945×

body

valid