Details

sample77.0ms

Algorithm

intervals

Results

38.0ms

521×

body

valid

simplify1.3s

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize20.0ms

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))

rewrite96.0ms

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:

18.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
77.0ms	(* (* y 4.0) (- (* z z) t))

series187.0ms

Counts

2 → 6

Calls

2 calls:

118.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
69.0ms	(* (* y 4.0) (- (* z z) t))

simplify680.0ms

Counts: 47 → 47

prune159.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.9b

localize28.0ms

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)))
6.4b	(sqrt (- (* z z) t))
6.4b	(sqrt (- (* z z) t))

rewrite233.0ms

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:

46.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
150.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
11.0ms	(sqrt (- (* z z) t))
22.0ms	(sqrt (- (* z z) t))

series316.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
91.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
68.0ms	(sqrt (- (* z z) t))
62.0ms	(sqrt (- (* z z) t))

simplify843.0ms

Counts: 101 → 101

prune477.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 2.8b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fabs (cbrt (- (* z z) t))) (sqrt (cbrt (- (* z z) t))))
6.4b	(sqrt (- (* z z) t))
7.0b	(cbrt (- (* z z) t))
7.0b	(cbrt (- (* z z) t))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
13×	`cbrt-prod` `sqrt-prod`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
7×	`pow1`
6×	`add-exp-log` `cbrt-div` `add-cbrt-cube`
4×	`flip3--` `sqrt-div` `flip--` `add-log-exp` `difference-of-squares`
3×	`associate-l` `unswap-sqr`
2×	`pow1/3` `associate-*r/`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

44.0ms	(* (fabs (cbrt (- (* z z) t))) (sqrt (cbrt (- (* z z) t))))
33.0ms	(sqrt (- (* z z) t))
14.0ms	(cbrt (- (* z z) t))
14.0ms	(cbrt (- (* z z) t))

series492.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (fabs (cbrt (- (* z z) t))) (sqrt (cbrt (- (* z z) t))))
69.0ms	(sqrt (- (* z z) t))
157.0ms	(cbrt (- (* z z) t))
134.0ms	(cbrt (- (* z z) t))

simplify1.2s

Counts: 85 → 85

prune584.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 2.8b

localize15.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
1.0b	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
6.4b	(* (* y 4.0) (- (* z z) t))
6.4b	(* (* y 4.0) (- (* z z) t))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

18.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
20.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
59.0ms	(* (* y 4.0) (- (* z z) t))
67.0ms	(* (* y 4.0) (- (* z z) t))

series597.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
202.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
92.0ms	(* (* y 4.0) (- (* z z) t))
85.0ms	(* (* y 4.0) (- (* z z) t))

simplify697.0ms

Counts: 92 → 92

prune356.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 2.8b

regimes1.1s

Accuracy

83% (0.6b remaining)

Error of 3.3b against oracle of 2.8b and baseline of 6.2b

bsearch2.0ms

simplify1.2s

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.6s

15802×

body

valid