Details

sample80.0ms

Algorithm

intervals

Results

52.0ms

680×

body

valid

simplify85.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize44.0ms

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) (- 1.0 (* 3.0 a))))))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.6b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt`
7×	`associate-r`
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` `sqr-pow`

Counts

4 → 79

Calls

4 calls:

72.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
57.0ms	(* (* a a) (+ 1.0 a))
10.0ms	(pow (+ (* a a) (* b b)) 2.0)
31.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series382.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
73.0ms	(* (* a a) (+ 1.0 a))
128.0ms	(pow (+ (* a a) (* b b)) 2.0)
59.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify61.0ms

Counts: 91 → 91

prune363.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.6b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt`
7×	`associate-r`
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-+l+` `flip3-+` `associate-l` `*-commutative` `flip-+` `unswap-sqr`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `pow-exp` `sum-log` `flip--` `distribute-lft-out` `sqr-pow`

Counts

4 → 79

Calls

4 calls:

81.0ms	(+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0))
36.0ms	(* (* a a) (+ 1.0 a))
10.0ms	(pow (+ (* a a) (* b b)) 2.0)
36.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series509.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0))
101.0ms	(* (* a a) (+ 1.0 a))
167.0ms	(pow (+ (* a a) (* b b)) 2.0)
70.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify63.0ms

Counts: 91 → 91

prune419.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* b b) (- 1.0 (* 3.0 a)))
0.6b	(* (* b b) (- 1.0 (* 3.0 a)))
9.6b	(sqrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0)))
9.6b	(sqrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0)))

rewrite273.0ms

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`
6×	`associate-r` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `sqrt-div` `associate-*r/` `add-log-exp`
2×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `flip3-+` `pow1/2` `associate-l` `*-commutative` `flip--` `flip-+` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

29.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
30.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
103.0ms	(sqrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0)))
109.0ms	(sqrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0)))

series701.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
80.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
282.0ms	(sqrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0)))
258.0ms	(sqrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0)))

simplify40.0ms

Counts: 92 → 92

prune526.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* b b) (- 1.0 (* 3.0 a)))
10.1b	(cbrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0)))
10.1b	(cbrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0)))
10.1b	(cbrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0)))

rewrite302.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

29.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
90.0ms	(cbrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0)))
100.0ms	(cbrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0)))
80.0ms	(cbrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0)))

series879.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
270.0ms	(cbrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0)))
282.0ms	(cbrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0)))
263.0ms	(cbrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0)))

simplify46.0ms

Counts: 76 → 76

prune507.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes148.0ms

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

sample3.8s

Algorithm

intervals

Results

3.1s

20632×

body

valid