Details

sample155.0ms

Algorithm

intervals

Results

125.0ms

710×

body

valid

simplify813.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize35.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (* b b) (+ 3 a))
0.4b	(pow (+ (* a a) (* b b)) 2)
0.1b	(* (* a a) (- 1 a))
0.0b	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`prod-diff`
15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
13×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-r`
8×	`fma-def`
6×	`unpow-prod-down` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `insert-posit16` `log1p-expm1-u`
3×	`pow-unpow`
2×	`associate-+r+` `sub-neg` `flip3-+` `associate-l` `*-commutative` `flip-+` `unpow2` `difference-of-squares` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `flip3--` `pow-exp` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 121

Calls

4 calls:

Slowest

66.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
36.0ms	(* (* b b) (+ 3 a))
26.0ms	(* (* a a) (- 1 a))
10.0ms	(pow (+ (* a a) (* b b)) 2)

series345.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

159.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
91.0ms	(* (* a a) (- 1 a))
57.0ms	(* (* b b) (+ 3 a))
38.0ms	(pow (+ (* a a) (* b b)) 2)

simplify919.0ms

Counts: 133 → 133

prune1.8s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (* b b) (+ 3 a))
0.2b	(fma (+ (* a a) (* b b)) (+ (* a a) (* b b)) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
0.1b	(* (* a a) (- 1 a))
0.0b	(- (fma (+ (* a a) (* b b)) (+ (* a a) (* b b)) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
27×	`prod-diff`
25×	`add-cube-cbrt`
15×	`add-exp-log`
14×	`pow1` `add-cbrt-cube`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `insert-posit16` `log1p-expm1-u` `difference-of-squares`
3×	`sub-neg` `fma-neg`
2×	`flip3--` `associate-l` `*-commutative` `fma-udef` `flip--` `distribute-lft-out--` `unswap-sqr`
1×	`expm1-def` `flip3-+` `diff-log` `difference-of-sqr-1` `associate--l+` `flip-+` `distribute-lft-out`

Counts

4 → 120

Calls

4 calls:

Slowest

28.0ms	(* (* a a) (- 1 a))
22.0ms	(* (* b b) (+ 3 a))
5.0ms	(- (fma (+ (* a a) (* b b)) (+ (* a a) (* b b)) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)
0.0ms	(fma (+ (* a a) (* b b)) (+ (* a a) (* b b)) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))

series469.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

176.0ms	(- (fma (+ (* a a) (* b b)) (+ (* a a) (* b b)) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)
159.0ms	(fma (+ (* a a) (* b b)) (+ (* a a) (* b b)) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
75.0ms	(* (* a a) (- 1 a))
59.0ms	(* (* b b) (+ 3 a))

simplify735.0ms

Counts: 132 → 132

prune1.9s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize64.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (* b b) (+ (* b b) (* 2 (* a a))))
1.1b	(* (* b b) (+ 3 a))
0.2b	(* (* a a) (* a a))
0.1b	(* (* a a) (- 1 a))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

130×	`pow1`
36×	`pow-prod-up`
32×	`pow-prod-down`
31×	`add-cbrt-cube` `add-exp-log`
25×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
22×	`pow-sqr`
19×	`add-cube-cbrt`
18×	`pow-plus` `prod-diff`
17×	`prod-exp` `cbrt-unprod`
14×	`associate-r`
13×	`pow2` `distribute-rgt-in` `distribute-lft-in`
6×	`associate-*r/`
4×	`expm1-log1p-u` `associate-l` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`sub-neg` `flip3-+` `flip-+` `difference-of-squares`
1×	`flip3--` `swap-sqr` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 168

Calls

4 calls:

Slowest

47.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))
42.0ms	(* (* a a) (- 1 a))
27.0ms	(* (* a a) (* a a))
26.0ms	(* (* b b) (+ 3 a))

series245.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

76.0ms	(* (* a a) (- 1 a))
69.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))
52.0ms	(* (* b b) (+ 3 a))
47.0ms	(* (* a a) (* a a))

simplify763.0ms

Counts: 180 → 180

prune2.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (* b b) (+ (* b b) (* 2 (* a a))))
1.1b	(* (* b b) (+ 3 a))
0.1b	(* (* a a) (- 1 a))
0.0b	(+ (+ (* (* b b) (+ (* b b) (* 2 (* a a)))) (pow a 4)) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate-*r/`
26×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
20×	`frac-add` `add-cube-cbrt`
19×	`pow1` `add-cbrt-cube` `add-exp-log`
18×	`prod-diff`
15×	`flip3-+` `flip-+`
14×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-r`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`sum-log` `fma-def` `associate-l` `*-commutative` `unswap-sqr`
2×	`associate-+r+` `sub-neg` `difference-of-squares`
1×	`+-commutative` `associate-+l+` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 135

Calls

4 calls:

Slowest

140.0ms	(+ (+ (* (* b b) (+ (* b b) (* 2 (* a a)))) (pow a 4)) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
55.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))
42.0ms	(* (* a a) (- 1 a))
25.0ms	(* (* b b) (+ 3 a))

series294.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

116.0ms	(+ (+ (* (* b b) (+ (* b b) (* 2 (* a a)))) (pow a 4)) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
63.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))
60.0ms	(* (* b b) (+ 3 a))
55.0ms	(* (* a a) (- 1 a))

simplify2.2s

Counts: 147 → 147

prune1.9s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes245.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch8.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

3.2s

20784×

body

valid