Details

sample62.0ms

Algorithm

intervals

Results

30.0ms

510×

body

valid

simplify1.1s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
4.5b	(* (* y 4.0) (- (* z z) t))

rewrite370.0ms

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)))
353.0ms	(* (* y 4.0) (- (* z z) t))

series205.0ms

Counts

2 → 6

Calls

2 calls:

118.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
87.0ms	(* (* y 4.0) (- (* z z) t))

simplify690.0ms

Counts: 47 → 47

prune114.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 2.0b

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))))
8.2b	(* (* y 4.0) (* z z))

rewrite161.0ms

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:

40.0ms	(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t)))
74.0ms	(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t))))
44.0ms	(* (* y 4.0) (* z z))

series254.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t)))
100.0ms	(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t))))
46.0ms	(* (* y 4.0) (* z z))

simplify884.0ms

Counts: 62 → 62

prune148.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t))))
0.0b	(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t)))
0.1b	(* (* (* y 4.0) z) z)

rewrite337.0ms

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:

176.0ms	(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t))))
78.0ms	(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t)))
81.0ms	(* (* (* y 4.0) z) z)

series231.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t))))
99.0ms	(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t)))
40.0ms	(* (* (* y 4.0) z) z)

simplify796.0ms

Counts: 60 → 60

prune190.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y 4.0) (sqrt (- (* z z) t)))
0.2b	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
4.5b	(sqrt (- (* z z) t))
4.5b	(sqrt (- (* z z) t))

rewrite245.0ms

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:

56.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
154.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
14.0ms	(sqrt (- (* z z) t))
16.0ms	(sqrt (- (* z z) t))

series323.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
85.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
68.0ms	(sqrt (- (* z z) t))
69.0ms	(sqrt (- (* z z) t))

simplify789.0ms

Counts: 101 → 101

prune340.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes252.0ms

Accuracy

-13215.8% (5.5b remaining)

Error of 5.6b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.1s

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.0s

15883×

body

valid