Details

sample185.0ms

Algorithm

intervals

Results

151.0ms

630×

body

valid

simplify200.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

200.0ms

(- (+ (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

localize76.0ms

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))

rewrite100.0ms

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

46.0ms	(* (* b b) (- 1 (* 3 a)))
25.0ms	(* (* a a) (+ 1 a))
22.0ms	(pow (+ (* a a) (* b b)) 2)
5.0ms	(- 1 (* 3 a))

series243.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

80.0ms	(* (* b b) (- 1 (* 3 a)))
75.0ms	(* (* a a) (+ 1 a))
44.0ms	(pow (+ (* a a) (* b b)) 2)
43.0ms	(- 1 (* 3 a))

simplify6.1s

Counts

67 → 115

Calls

67 calls:

Slowest

508.0ms	(* (* b b) (fma (- a) 3 (* a 3)))
318.0ms	(+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))
317.0ms	(* (* b b) (- 1 (* 3 a)))
281.0ms	(+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))
264.0ms	(* (* b b) (- 1 (* 3 a)))

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize80.0ms

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)))

rewrite82.0ms

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

33.0ms	(* (* b b) (- 1 (* 3 a)))
33.0ms	(* (* a a) (* a a))
12.0ms	(* b (fma b b (* 2 (* a a))))
0.0ms	(fma b (* b (fma b b (* 2 (* a a)))) (* (* a a) (* a a)))

series325.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

104.0ms	(* b (fma b b (* 2 (* a a))))
94.0ms	(fma b (* b (fma b b (* 2 (* a a)))) (* (* a a) (* a a)))
80.0ms	(* (* b b) (- 1 (* 3 a)))
47.0ms	(* (* a a) (* a a))

simplify8.4s

Counts

114 → 146

Calls

114 calls:

Slowest

805.0ms	(* (* (* b b) b) (* (* (fma b b (* 2 (* a a))) (fma b b (* 2 (* a a)))) (fma b b (* 2 (* a a)))))
416.0ms	(* (* (* (* a a) (* a a)) (* a a)) (* (* (* a a) (* a a)) (* a a)))
377.0ms	(* (* b b) (- 1 (* 3 a)))
376.0ms	(* (* b b) (- 1 (* 3 a)))
353.0ms	(* (* (* (* a a) a) (* (* a a) a)) (* (* (* a a) (* a a)) (* a a)))

prune2.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize98.0ms

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))

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

57.0ms	(* (* b b) (- 1 (* 3 a)))
34.0ms	(* (* a a) (+ 1 a))
12.0ms	(* b (fma b b (* 2 (* a a))))
0.0ms	(fma b (* b (fma b b (* 2 (* a a)))) (pow a 4))

series344.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

109.0ms	(fma b (* b (fma b b (* 2 (* a a)))) (pow a 4))
84.0ms	(* (* a a) (+ 1 a))
81.0ms	(* b (fma b b (* 2 (* a a))))
69.0ms	(* (* b b) (- 1 (* 3 a)))

simplify7.0s

Counts

63 → 107

Calls

63 calls:

Slowest

782.0ms	(* (* (* b b) b) (* (* (fma b b (* 2 (* a a))) (fma b b (* 2 (* a a)))) (fma b b (* 2 (* a a)))))
321.0ms	(+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))
312.0ms	(+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))
303.0ms	(* (* b b) (- 1 (* 3 a)))
268.0ms	(* (* b b) (- 1 (* 3 a)))

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize72.0ms

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)))

rewrite45.0ms

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

41.0ms	(* (* b b) (- 1 (* 3 a)))
1.0ms	(cbrt b)
1.0ms	(cbrt b)
1.0ms	(cbrt b)

series953.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

336.0ms	(cbrt b)
285.0ms	(cbrt b)
282.0ms	(cbrt b)
51.0ms	(* (* b b) (- 1 (* 3 a)))

simplify3.8s

Counts

44 → 88

Calls

44 calls:

Slowest

330.0ms	(* (* b b) (- 1 (* 3 a)))
286.0ms	(* (* b b) (- 1 (* 3 a)))
210.0ms	(- (pow b 2) (* 3 (* a (pow b 2))))
205.0ms	(- (pow b 2) (* 3 (* a (pow b 2))))
201.0ms	(* (* b b) (- (* 3 a)))

prune1.9s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes321.0ms

Accuracy

0% (0.0b remaining)

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

bsearch10.0ms

end0.0ms

sample5.0s

Algorithm

intervals

Results

4.6s

20451×

body

valid