Details

sample63.0ms

Algorithm

intervals

Results

41.0ms

653×

body

valid

simplify42.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* a a) (* b b))
0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log`
3×	`unpow-prod-down` `pow-unpow` `add-cbrt-cube`
2×	`+-commutative` `flip3-+` `sum-log` `flip-+`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

3 → 39

Calls

3 calls:

8.0ms	(+ (* a a) (* b b))
62.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
10.0ms	(pow (+ (* a a) (* b b)) 2.0)

series214.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (* a a) (* b b))
72.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
113.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify145.0ms

Counts: 48 → 48

prune130.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
0.0b	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
2.4b	(* (pow a 2) (pow b 2))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
16×	`unswap-sqr`
15×	`add-exp-log`
14×	`unpow-prod-down`
10×	`unpow2` `add-log-exp` `sqr-pow`
9×	`*-un-lft-identity` `prod-exp`
8×	`associate-r` `associate-l`
7×	`add-cube-cbrt`
6×	`pow-to-exp` `pow-exp`
5×	`add-cbrt-cube`
4×	`sum-log`
3×	`pow1`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+r+` `pow-prod-down` `*-commutative` `cbrt-unprod` `distribute-lft-out`

Counts

3 → 76

Calls

3 calls:

14.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
41.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
18.0ms	(* (pow a 2) (pow b 2))

series154.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
59.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
35.0ms	(* (pow a 2) (pow b 2))

simplify46.0ms

Counts: 85 → 85

prune204.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (exp (log (+ (* a a) (* b b)))) 2.0) (* 4.0 (* b b)))
0.3b	(pow (exp (log (+ (* a a) (* b b)))) 2.0)
4.1b	(exp (log (+ (* a a) (* b b))))
12.1b	(log (+ (* a a) (* b b)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`log-prod`
8×	`pow1` `exp-prod`
6×	`unpow-prod-down` `exp-sum` `add-log-exp`
5×	`add-exp-log` `pow-pow`
4×	`log-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3-+` `log-pow` `flip-+`
2×	`exp-diff`
1×	`+-commutative` `pow-to-exp` `rem-log-exp` `pow-exp` `sum-log` `rem-exp-log` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

74.0ms	(+ (pow (exp (log (+ (* a a) (* b b)))) 2.0) (* 4.0 (* b b)))
15.0ms	(pow (exp (log (+ (* a a) (* b b)))) 2.0)
9.0ms	(exp (log (+ (* a a) (* b b))))
7.0ms	(log (+ (* a a) (* b b)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ (pow (exp (log (+ (* a a) (* b b)))) 2.0) (* 4.0 (* b b)))
113.0ms	(pow (exp (log (+ (* a a) (* b b)))) 2.0)
30.0ms	(exp (log (+ (* a a) (* b b))))
56.0ms	(log (+ (* a a) (* b b)))

simplify146.0ms

Counts: 78 → 78

prune210.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2))))
0.0b	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
2.4b	(* (pow a 2) (pow b 2))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
16×	`unswap-sqr`
15×	`add-exp-log`
14×	`unpow-prod-down`
10×	`unpow2` `add-log-exp` `sqr-pow`
9×	`prod-exp`
8×	`associate-r` `associate-l`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow-to-exp` `pow-exp`
5×	`add-cbrt-cube`
4×	`sum-log`
3×	`pow1`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+l+` `pow-prod-down` `*-commutative` `cbrt-unprod`

Counts

3 → 75

Calls

3 calls:

14.0ms	(+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2))))
59.0ms	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
18.0ms	(* (pow a 2) (pow b 2))

series163.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2))))
65.0ms	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
38.0ms	(* (pow a 2) (pow b 2))

simplify47.0ms

Counts: 84 → 84

prune192.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.6s

20825×

body

valid