Details

sample116.0ms

Algorithm

intervals

Results

96.0ms

639×

body

valid

simplify839.0ms

Calls

1 calls:

Slowest

838.0ms

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (+ (* a a) (* b b)) 2)
0.0b	(* 4 (* b b))
0.0b	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
0.0b	(+ (* a a) (* b b))

rewrite444.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
28×	`fma-def`
22×	`associate-l`
21×	`associate-r`
19×	`add-cube-cbrt`
17×	`distribute-lft-out`
16×	`unpow-prod-down`
13×	`swap-sqr`
10×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
8×	`add-log-exp` `unswap-sqr`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `sum-log` `flip3-+` `flip-+` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Calls

4 calls:

Slowest

354.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
38.0ms	(+ (* a a) (* b b))
30.0ms	(pow (+ (* a a) (* b b)) 2)
20.0ms	(* 4 (* b b))

series257.0ms

Calls

4 calls:

Slowest

111.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
52.0ms	(pow (+ (* a a) (* b b)) 2)
48.0ms	(* 4 (* b b))
45.0ms	(+ (* a a) (* b b))

simplify5.2s

Calls

87 calls:

Slowest

379.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
351.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
336.0ms	(+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))
328.0ms	(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow a 4)))
324.0ms	(+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))

prune1.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 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)))
0.0b	(* 4 (* b b))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

122×	`pow1`
112×	`add-sqr-sqrt`
49×	`swap-sqr` `unswap-sqr`
48×	`associate-r`
38×	`associate-l`
36×	`*-un-lft-identity` `pow-prod-up`
32×	`add-cube-cbrt`
27×	`pow-prod-down`
23×	`add-cbrt-cube` `add-exp-log`
22×	`pow-sqr`
21×	`*-commutative`
18×	`pow-plus`
13×	`pow2`
12×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`fma-udef`
1×	`distribute-rgt-in` `distribute-lft-in`

Calls

4 calls:

Slowest

57.0ms	(* (* a a) (* a a))
20.0ms	(* 4 (* b b))
11.0ms	(* b (fma b b (* 2 (* a a))))
0.0ms	(fma b (* b (fma b b (* 2 (* a a)))) (* (* a a) (* a a)))

series263.0ms

Calls

4 calls:

Slowest

103.0ms	(fma b (* b (fma b b (* 2 (* a a)))) (* (* a a) (* a a)))
86.0ms	(* b (fma b b (* 2 (* a a))))
42.0ms	(* (* a a) (* a a))
33.0ms	(* 4 (* b b))

simplify6.9s

Calls

232 calls:

Slowest

858.0ms	(* (* (* b b) b) (* (* (fma b b (* 2 (* a a))) (fma b b (* 2 (* a a)))) (fma b b (* 2 (* a a)))))
404.0ms	(* (* (* (* a a) (* a a)) (* a a)) (* (* (* a a) a) (* (* a a) a)))
396.0ms	(* (* (* (* a a) a) (* (* a a) a)) (* (* (* a a) (* a a)) (* a a)))
382.0ms	(* (* (* (* a a) (* a a)) (* a a)) (* (* (* a a) (* a a)) (* a a)))
308.0ms	(+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))

prune2.9s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* b (fma b b (* 2 (* a a))))
0.1b	(fma b (* b (fma b b (* 2 (* a a)))) (pow a 4))
0.0b	(* 4 (* b b))
0.0b	(+ (fma b (* b (fma b b (* 2 (* a a)))) (pow a 4)) (* 4 (* b b)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`associate-r`
17×	`*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`associate-l`
8×	`unswap-sqr`
6×	`add-log-exp`
4×	`expm1-log1p-u` `swap-sqr` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `insert-posit16` `log1p-expm1-u`
3×	`fma-def`
2×	`distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `associate-+l+` `sum-log` `distribute-lft-in` `flip3-+` `flip-+`

Calls

4 calls:

Slowest

44.0ms	(* 4 (* b b))
37.0ms	(+ (fma b (* b (fma b b (* 2 (* a a)))) (pow a 4)) (* 4 (* b b)))
12.0ms	(* b (fma b b (* 2 (* a a))))
0.0ms	(fma b (* b (fma b b (* 2 (* a a)))) (pow a 4))

series389.0ms

Calls

4 calls:

Slowest

126.0ms	(+ (fma b (* b (fma b b (* 2 (* a a)))) (pow a 4)) (* 4 (* b b)))
122.0ms	(fma b (* b (fma b b (* 2 (* a a)))) (pow a 4))
94.0ms	(* b (fma b b (* 2 (* a a))))
47.0ms	(* 4 (* b b))

simplify6.2s

Calls

60 calls:

Slowest

774.0ms	(* (* (* b b) b) (* (* (fma b b (* 2 (* a a))) (fma b b (* 2 (* a a)))) (fma b b (* 2 (* a a)))))
410.0ms	(+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (* 4 (pow b 2))))
375.0ms	(+ (fma b (* b (fma b b (* 2 (* a a)))) (pow a 4)) (* 4 (* b b)))
354.0ms	(sqrt (fma b (* b (fma b b (* 2 (* a a)))) (pow a 4)))
353.0ms	(* (cbrt (fma b (* b (fma b b (* 2 (* a a)))) (pow a 4))) (cbrt (fma b (* b (fma b b (* 2 (* a a)))) (pow a 4))))

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

8.9b	(cbrt (fma b b (* 2 (* a a))))
8.9b	(cbrt (fma b b (* 2 (* a a))))
8.9b	(cbrt (fma b b (* 2 (* a a))))
0.5b	(* (cbrt (fma b b (* 2 (* a a)))) (cbrt (fma b b (* 2 (* a a)))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Calls

4 calls:

Slowest

8.0ms	(* (cbrt (fma b b (* 2 (* a a)))) (cbrt (fma b b (* 2 (* a a)))))
1.0ms	(cbrt (fma b b (* 2 (* a a))))
1.0ms	(cbrt (fma b b (* 2 (* a a))))
1.0ms	(cbrt (fma b b (* 2 (* a a))))

series683.0ms

Calls

4 calls:

Slowest

201.0ms	(* (cbrt (fma b b (* 2 (* a a)))) (cbrt (fma b b (* 2 (* a a)))))
188.0ms	(cbrt (fma b b (* 2 (* a a))))
147.0ms	(cbrt (fma b b (* 2 (* a a))))
147.0ms	(cbrt (fma b b (* 2 (* a a))))

simplify4.0s

Calls

68 calls:

Slowest

454.0ms	(* (fma b b (* 2 (* a a))) (* (* (cbrt (fma b b (* 2 (* a a)))) (cbrt (fma b b (* 2 (* a a))))) (cbrt (fma b b (* 2 (* a a))))))
435.0ms	(* (* (* (cbrt (fma b b (* 2 (* a a)))) (cbrt (fma b b (* 2 (* a a))))) (cbrt (fma b b (* 2 (* a a))))) (* (* (cbrt (fma b b (* 2 (* a a)))) (cbrt (fma b b (* 2 (* a a))))) (cbrt (fma b b (* 2 (* a a))))))
230.0ms	(* (fma b b (* 2 (* a a))) (fma b b (* 2 (* a a))))
225.0ms	(* (fma b b (* 2 (* a a))) (fma b b (* 2 (* a a))))
219.0ms	(+ (exp (* 1/3 (+ (log 2) (* 2 (log a))))) (* 1/6 (* (pow b 2) (exp (* 1/3 (- (log 2) (* 4 (log a))))))))

prune1.7s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes457.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample3.4s

Algorithm

intervals

Results

3.0s

20611×

body

valid