Details

sample164.0ms

Algorithm

intervals

Results

140.0ms

664×

body

valid

simplify203.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

202.0ms

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

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize64.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* b b) (- 1 (* 3 a)))
0.3b	(pow (+ (* a a) (* b b)) 2)
0.1b	(* (* a a) (+ 1 a))
0.0b	(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

Slowest

77.0ms	(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
43.0ms	(* (* a a) (+ 1 a))
33.0ms	(* (* b b) (- 1 (* 3 a)))
16.0ms	(pow (+ (* a a) (* b b)) 2)

series269.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

77.0ms	(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
70.0ms	(* (* a a) (+ 1 a))
62.0ms	(* (* b b) (- 1 (* 3 a)))
60.0ms	(pow (+ (* a a) (* b b)) 2)

simplify10.9s

Counts

76 → 123

Calls

76 calls:

Slowest

670.0ms	(* (- 1 a) (+ (* 1 1) (+ (* (* 3 a) (* 3 a)) (* 1 (* 3 a)))))
537.0ms	(* (* (* 4 4) 4) (* (* (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
375.0ms	(* (- 1 a) (+ 1 (* 3 a)))
367.0ms	(* (* b b) (- 1 (* 3 a)))
357.0ms	(* (+ (* 1 1) (- (* a a) (* 1 a))) (+ 1 (* 3 a)))

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* b b) (- 1 (* 3 a)))
0.2b	(* (* a a) (* a a))
0.2b	(* b (fma b b (* 2 (* a a))))
0.1b	(fma b (* b (fma b b (* 2 (* a a)))) (* (* a a) (* a a)))

rewrite96.0ms

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

45.0ms	(* (* b b) (- 1 (* 3 a)))
43.0ms	(* (* a a) (* a a))
5.0ms	(* b (fma b b (* 2 (* a a))))
0.0ms	(fma b (* b (fma b b (* 2 (* a a)))) (* (* a a) (* a a)))

series307.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

121.0ms	(fma b (* b (fma b b (* 2 (* a a)))) (* (* a a) (* a a)))
86.0ms	(* b (fma b b (* 2 (* a a))))
55.0ms	(* (* b b) (- 1 (* 3 a)))
46.0ms	(* (* a a) (* a a))

simplify8.7s

Counts

114 → 146

Calls

114 calls:

Slowest

867.0ms	(* (* (* b b) b) (* (* (fma b b (* 2 (* a a))) (fma b b (* 2 (* a a)))) (fma b b (* 2 (* a a)))))
530.0ms	(+ (pow b 3) (* 2 (* (pow a 2) b)))
404.0ms	(* (* (* (* a a) (* a a)) (* a a)) (* (* (* a a) (* a a)) (* a a)))
360.0ms	(* (* (* (* a a) (* a a)) (* a a)) (* (* (* a a) a) (* (* a a) a)))
354.0ms	(* (* (* (* a a) a) (* (* a a) a)) (* (* (* a a) (* a a)) (* a a)))

prune2.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* b b) (- 1 (* 3 a)))
0.2b	(* 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))

rewrite105.0ms

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

47.0ms	(* (* a a) (+ 1 a))
44.0ms	(* (* b b) (- 1 (* 3 a)))
11.0ms	(* b (fma b b (* 2 (* a a))))
0.0ms	(fma b (* b (fma b b (* 2 (* a a)))) (pow a 4))

series321.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

104.0ms	(fma b (* b (fma b b (* 2 (* a a)))) (pow a 4))
77.0ms	(* (* b b) (- 1 (* 3 a)))
75.0ms	(* (* a a) (+ 1 a))
65.0ms	(* b (fma b b (* 2 (* a a))))

simplify6.7s

Counts

63 → 107

Calls

63 calls:

Slowest

808.0ms	(* (* (* b b) b) (* (* (fma b b (* 2 (* a a))) (fma b b (* 2 (* a a)))) (fma b b (* 2 (* a a)))))
320.0ms	(* (* b b) (- 1 (* 3 a)))
306.0ms	(+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))
293.0ms	(* (* b b) (- 1 (* 3 a)))
268.0ms	(+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))

prune1.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* b b) (- 1 (* 3 a)))
0.2b	(* b (fma b b (* 2 (* a a))))
0.1b	(* (* (* a a) a) a)
0.1b	(* (* a a) a)

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

76×	`pow1`
27×	`pow-plus` `pow-prod-up`
25×	`add-cbrt-cube` `add-exp-log`
15×	`add-sqr-sqrt`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
11×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow2` `distribute-rgt-in` `distribute-lft-in` `associate-l` `prod-diff` `pow-sqr`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow3` `unswap-sqr`
2×	`sub-neg` `associate-*r/` `fma-udef`
1×	`flip3--` `flip--`

Counts

4 → 130

Calls

4 calls:

Slowest

80.0ms	(* (* (* a a) a) a)
26.0ms	(* (* a a) a)
23.0ms	(* (* b b) (- 1 (* 3 a)))
5.0ms	(* b (fma b b (* 2 (* a a))))

series261.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

82.0ms	(* b (fma b b (* 2 (* a a))))
81.0ms	(* (* b b) (- 1 (* 3 a)))
51.0ms	(* (* (* a a) a) a)
47.0ms	(* (* a a) a)

simplify7.3s

Counts

82 → 142

Calls

82 calls:

Slowest

893.0ms	(* (* (* b b) b) (* (* (fma b b (* 2 (* a a))) (fma b b (* 2 (* a a)))) (fma b b (* 2 (* a a)))))
383.0ms	(* (* (* (* (* a a) (* a a)) (* a a)) (* (* a a) a)) (* (* a a) a))
380.0ms	(* (* (* (* a a) (* a a)) (* a a)) (* (* a a) a))
306.0ms	(* (* b b) (- 1 (* 3 a)))
292.0ms	(* (* (* (* a a) a) (* (* a a) a)) (* (* a a) a))

prune1.8s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes275.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample4.7s

Algorithm

intervals

Results

4.4s

20881×

body

valid