Details

sample168.0ms

Algorithm

intervals

Results

137.0ms

630×

body

valid

simplify143.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

143.0ms

(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* b b) (- 1 (* 3 a)))
0.3b	(pow (+ (* a a) (* b b)) 2)
0.1b	(* (* a a) (+ 1 a))
0.0b	(- 1 (* 3 a))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
12×	`add-cube-cbrt`
9×	`prod-diff`
7×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `insert-posit16` `log1p-expm1-u`
3×	`pow-unpow` `sub-neg` `unpow-prod-down` `fma-neg`
2×	`flip3--` `associate-l` `*-commutative` `flip--` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `flip3-+` `diff-log` `pow-exp` `flip-+` `distribute-lft-out` `unpow2` `sqr-pow`

Counts

4 → 103

Calls

4 calls:

Slowest

43.0ms	(* (* a a) (+ 1 a))
30.0ms	(* (* b b) (- 1 (* 3 a)))
9.0ms	(- 1 (* 3 a))
9.0ms	(pow (+ (* a a) (* b b)) 2)

series274.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

85.0ms	(* (* a a) (+ 1 a))
75.0ms	(* (* b b) (- 1 (* 3 a)))
64.0ms	(pow (+ (* a a) (* b b)) 2)
51.0ms	(- 1 (* 3 a))

simplify6.1s

Counts

67 → 115

Calls

67 calls:

Slowest

371.0ms	(* (* b b) (- 1 (* 3 a)))
340.0ms	(+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))
325.0ms	(* (* b b) (- 1 (* 3 a)))
324.0ms	(+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))
305.0ms	(- (pow b 2) (* 3 (* a (pow b 2))))

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize101.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* b b) (- 1 (* 3 a)))
0.2b	(* (* a a) (* a a))
0.1b	(* b (fma b b (* 2 (* a a))))
0.1b	(fma b (* b (fma b b (* 2 (* a a)))) (* (* a a) (* a a)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

122×	`pow1`
36×	`pow-prod-up`
27×	`pow-prod-down`
23×	`add-cbrt-cube` `add-exp-log`
22×	`pow-sqr`
18×	`pow-plus`
13×	`pow2`
12×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `prod-diff`
5×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `fma-udef` `unswap-sqr`
2×	`sub-neg` `associate-*r/`
1×	`flip3--` `swap-sqr` `flip--`

Counts

4 → 134

Calls

4 calls:

Slowest

28.0ms	(* (* a a) (* a a))
26.0ms	(* (* b b) (- 1 (* 3 a)))
6.0ms	(* b (fma b b (* 2 (* a a))))
0.0ms	(fma b (* b (fma b b (* 2 (* a a)))) (* (* a a) (* a a)))

series377.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

130.0ms	(fma b (* b (fma b b (* 2 (* a a)))) (* (* a a) (* a a)))
114.0ms	(* b (fma b b (* 2 (* a a))))
75.0ms	(* (* b b) (- 1 (* 3 a)))
58.0ms	(* (* a a) (* a a))

simplify8.9s

Counts

114 → 146

Calls

114 calls:

Slowest

898.0ms	(* (* (* b b) b) (* (* (fma b b (* 2 (* a a))) (fma b b (* 2 (* a a)))) (fma b b (* 2 (* a a)))))
784.0ms	(* (* b b) (- 1 (* 3 a)))
351.0ms	(* (* (* (* a a) a) (* (* a a) a)) (* (* (* a a) (* a a)) (* a a)))
338.0ms	(* (* (* (* a a) (* a a)) (* a a)) (* (* (* a a) (* a a)) (* a a)))
334.0ms	(* (* (* (* a a) (* a a)) (* a a)) (* (* (* a a) a) (* (* a a) a)))

prune2.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* b b) (- 1 (* 3 a)))
0.1b	(* b (fma b b (* 2 (* a a))))
0.1b	(fma b (* b (fma b b (* 2 (* a a)))) (pow a 4))
0.1b	(* (* a a) (+ 1 a))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

Slowest

40.0ms	(* (* b b) (- 1 (* 3 a)))
30.0ms	(* (* a a) (+ 1 a))
6.0ms	(* b (fma b b (* 2 (* a a))))
0.0ms	(fma b (* b (fma b b (* 2 (* a a)))) (pow a 4))

series390.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

142.0ms	(fma b (* b (fma b b (* 2 (* a a)))) (pow a 4))
99.0ms	(* b (fma b b (* 2 (* a a))))
82.0ms	(* (* b b) (- 1 (* 3 a)))
67.0ms	(* (* a a) (+ 1 a))

simplify7.4s

Counts

63 → 107

Calls

63 calls:

Slowest

956.0ms	(* (* (* b b) b) (* (* (fma b b (* 2 (* a a))) (fma b b (* 2 (* a a)))) (fma b b (* 2 (* a a)))))
356.0ms	(+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))
353.0ms	(* (* b b) (- 1 (* 3 a)))
336.0ms	(* (* b b) (- 1 (* 3 a)))
286.0ms	(+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))

prune1.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
0.6b	(cbrt b)
0.6b	(* (* b b) (- 1 (* 3 a)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `pow1` `add-cbrt-cube` `add-exp-log`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

Slowest

31.0ms	(* (* b b) (- 1 (* 3 a)))
1.0ms	(cbrt b)
1.0ms	(cbrt b)
1.0ms	(cbrt b)

series970.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

330.0ms	(cbrt b)
290.0ms	(cbrt b)
284.0ms	(cbrt b)
66.0ms	(* (* b b) (- 1 (* 3 a)))

simplify4.4s

Counts

44 → 88

Calls

44 calls:

Slowest

334.0ms	(* (* b b) (- 1 (* 3 a)))
323.0ms	(* (* b b) (- 1 (* 3 a)))
290.0ms	(- (pow b 2) (* 3 (* a (pow b 2))))
271.0ms	(- (pow b 2) (* 3 (* a (pow b 2))))
259.0ms	(- (pow b 2) (* 3 (* a (pow b 2))))

prune1.8s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes358.0ms

Accuracy

0% (0.0b remaining)

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

bsearch9.0ms

end0.0ms

sample5.9s

Algorithm

intervals

Results

5.3s

20451×

body

valid