Details

sample70.0ms

Algorithm

intervals

Results

45.0ms

669×

body

valid

simplify72.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

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))
0.4b	(pow (+ (* a a) (* b b)) 2.0)
0.5b	(* (* b b) (+ 3.0 a))

rewrite182.0ms

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:

76.0ms	(+ (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)
56.0ms	(* (* b b) (+ 3.0 a))

series382.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
59.0ms	(* (* a a) (- 1.0 a))
115.0ms	(pow (+ (* a a) (* b b)) 2.0)
53.0ms	(* (* b b) (+ 3.0 a))

simplify62.0ms

Counts: 93 → 93

prune320.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* b b) (+ 3.0 a))
22.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

37.0ms	(* (* b b) (+ 3.0 a))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series712.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (* b b) (+ 3.0 a))
209.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
226.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
224.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify99.0ms

Counts: 81 → 81

prune458.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

9.6b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
9.6b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
22.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`

Counts

4 → 60

Calls

4 calls:

13.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
11.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series842.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
212.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
215.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
212.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify65.0ms

Counts: 72 → 72

prune492.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
0.0b	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
0.0b	(* 2 (* (pow a 2) (pow b 2)))
1.9b	(* (pow a 2) (pow b 2))

rewrite431.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log`
28×	`prod-exp`
27×	`add-sqr-sqrt`
16×	`unswap-sqr`
15×	`add-log-exp`
14×	`unpow-prod-down` `*-un-lft-identity`
12×	`pow-to-exp` `pow-exp`
11×	`associate-l` `add-cbrt-cube`
10×	`unpow2` `sqr-pow`
9×	`add-cube-cbrt` `associate-r`
6×	`pow1`
4×	`sum-log` `cbrt-unprod`
3×	`diff-log`
2×	`pow-prod-down` `*-commutative` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate--l+` `flip--` `flip-+` `distribute-lft-out` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

338.0ms	(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
20.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
36.0ms	(* 2 (* (pow a 2) (pow b 2)))
32.0ms	(* (pow a 2) (pow b 2))

series216.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
59.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
39.0ms	(* 2 (* (pow a 2) (pow b 2)))
46.0ms	(* (pow a 2) (pow b 2))

simplify51.0ms

Counts: 117 → 117

prune348.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes214.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify80.0ms

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.7s

20539×

body

valid