Details

sample48.0ms

Algorithm

intervals

Results

21.0ms

513×

body

valid

simplify1.1s

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
6.6b	(* (* y 4.0) (- (* z z) t))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

12.0ms	(- (* z z) t)
10.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
56.0ms	(* (* y 4.0) (- (* z z) t))

series228.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- (* z z) t)
116.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
81.0ms	(* (* y 4.0) (- (* z z) t))

simplify572.0ms

Counts: 63 → 63

prune167.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.6b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

20.0ms	(- (* x x) (* y (* 4.0 (- (* z z) t))))
19.0ms	(- (* z z) t)
69.0ms	(* y (* 4.0 (- (* z z) t)))

series226.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(- (* x x) (* y (* 4.0 (- (* z z) t))))
30.0ms	(- (* z z) t)
91.0ms	(* y (* 4.0 (- (* z z) t)))

simplify576.0ms

Counts: 70 → 70

prune198.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.6b

localize39.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
7.0b	(cbrt (- (* z z) t))
7.0b	(cbrt (- (* z z) t))
7.0b	(cbrt (- (* z z) t))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`pow1` `add-exp-log`
12×	`cbrt-prod` `add-cbrt-cube`
10×	`add-sqr-sqrt` `associate-*r/`
9×	`flip3--` `flip--`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `difference-of-squares`
2×	`associate-*l/`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 72

Calls

4 calls:

139.0ms	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
12.0ms	(cbrt (- (* z z) t))
11.0ms	(cbrt (- (* z z) t))
12.0ms	(cbrt (- (* z z) t))

series506.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
116.0ms	(cbrt (- (* z z) t))
133.0ms	(cbrt (- (* z z) t))
112.0ms	(cbrt (- (* z z) t))

simplify1.7s

Counts: 84 → 84

prune380.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 2.6b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
0.3b	(* (* y 4.0) (sqrt (- (* z z) t)))
6.4b	(sqrt (- (* z z) t))
6.4b	(sqrt (- (* z z) t))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
18×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
16×	`add-sqr-sqrt` `sqrt-prod`
14×	`associate-r`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
9×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
4×	`frac-times` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `associate-l/` `-commutative`

Counts

4 → 89

Calls

4 calls:

124.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
50.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
17.0ms	(sqrt (- (* z z) t))
12.0ms	(sqrt (- (* z z) t))

series290.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
104.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
49.0ms	(sqrt (- (* z z) t))
52.0ms	(sqrt (- (* z z) t))

simplify748.0ms

Counts: 101 → 101

prune369.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 2.6b

regimes502.0ms

Accuracy

78% (0.7b remaining)

Error of 3.3b against oracle of 2.6b and baseline of 5.8b

bsearch1.0ms

simplify956.0ms

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.4s

15823×

body

valid