Details

sample67.0ms

Algorithm

intervals

Results

44.0ms

653×

body

valid

simplify63.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
0.1b	(* (* a a) (- 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
1.0b	(* (* b b) (+ 3.0 a))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
12×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`associate-r`
8×	`add-cube-cbrt`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
3×	`unpow-prod-down` `pow-unpow`
2×	`sub-neg` `associate-+r+` `flip3-+` `associate-l` `*-commutative` `flip-+` `unswap-sqr`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `pow-exp` `sum-log` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 81

Calls

4 calls:

58.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
36.0ms	(* (* a a) (- 1.0 a))
10.0ms	(pow (+ (* a a) (* b b)) 2.0)
55.0ms	(* (* b b) (+ 3.0 a))

series337.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
61.0ms	(* (* a a) (- 1.0 a))
115.0ms	(pow (+ (* a a) (* b b)) 2.0)
37.0ms	(* (* b b) (+ 3.0 a))

simplify62.0ms

Counts: 93 → 93

prune272.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (* b b) (+ 3.0 a))
1.0b	(* (* b b) (+ 3.0 a))
12.0b	(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
12.0b	(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

32.0ms	(* (* b b) (+ 3.0 a))
32.0ms	(* (* b b) (+ 3.0 a))
62.0ms	(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
69.0ms	(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))

series464.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* b b) (+ 3.0 a))
41.0ms	(* (* b b) (+ 3.0 a))
191.0ms	(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
194.0ms	(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))

simplify44.0ms

Counts: 90 → 90

prune355.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (* b b) (+ 3.0 a))
12.5b	(cbrt (+ (* a a) (* b b)))
12.5b	(cbrt (+ (* a a) (* b b)))
12.5b	(cbrt (+ (* a a) (* b b)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cbrt-cube`
8×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`flip3-+` `associate-r` `flip-+` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative` `distribute-lft-out` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

38.0ms	(* (* b b) (+ 3.0 a))
5.0ms	(cbrt (+ (* a a) (* b b)))
5.0ms	(cbrt (+ (* a a) (* b b)))
5.0ms	(cbrt (+ (* a a) (* b b)))

series364.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* b b) (+ 3.0 a))
106.0ms	(cbrt (+ (* a a) (* b b)))
110.0ms	(cbrt (+ (* a a) (* b b)))
110.0ms	(cbrt (+ (* a a) (* b b)))

simplify38.0ms

Counts: 75 → 75

prune349.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

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))

rewrite78.0ms

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))))
43.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
19.0ms	(* (pow a 2) (pow b 2))

series160.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
63.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
36.0ms	(* (pow a 2) (pow b 2))

simplify45.0ms

Counts: 85 → 85

prune216.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes124.0ms

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

sample3.2s

Algorithm

intervals

Results

2.6s

20825×

body

valid