Details

sample80.0ms

Algorithm

intervals

Results

51.0ms

669×

body

valid

simplify82.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
0.1b	(* (* a a) (+ 1.0 a))
0.4b	(pow (+ (* a a) (* b b)) 2.0)
0.4b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt`
7×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
3×	`unpow-prod-down` `pow-unpow`
2×	`sub-neg` `associate-+r+` `flip3-+` `associate-l` `*-commutative` `flip-+` `unswap-sqr`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `pow-exp` `sum-log` `flip--` `distribute-lft-out` `sqr-pow`

Counts

4 → 79

Calls

4 calls:

76.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
49.0ms	(* (* a a) (+ 1.0 a))
14.0ms	(pow (+ (* a a) (* b b)) 2.0)
66.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series421.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
70.0ms	(* (* a a) (+ 1.0 a))
133.0ms	(pow (+ (* a a) (* b b)) 2.0)
68.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify67.0ms

Counts: 91 → 91

prune340.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0))
0.1b	(* (* a a) (+ 1.0 a))
0.4b	(pow (+ (* a a) (* b b)) 2.0)
0.4b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt`
7×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
3×	`unpow-prod-down` `pow-unpow`
2×	`sub-neg` `associate-+l+` `flip3-+` `associate-l` `*-commutative` `flip-+` `unswap-sqr`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `pow-exp` `sum-log` `flip--` `distribute-lft-out` `sqr-pow`

Counts

4 → 79

Calls

4 calls:

65.0ms	(+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0))
32.0ms	(* (* a a) (+ 1.0 a))
10.0ms	(pow (+ (* a a) (* b b)) 2.0)
36.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series334.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0))
55.0ms	(* (* a a) (+ 1.0 a))
110.0ms	(pow (+ (* a a) (* b b)) 2.0)
53.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify52.0ms

Counts: 91 → 91

prune261.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
22.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

73×	`cbrt-prod`
46×	`add-sqr-sqrt`
29×	`unpow-prod-down`
22×	`add-cube-cbrt` `*-un-lft-identity`
16×	`unswap-sqr`
15×	`sqr-pow`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

84.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
15.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series648.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
158.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
159.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
176.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify104.0ms

Counts: 121 → 121

prune547.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0))) (cbrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0))))
9.5b	(cbrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0)))
9.5b	(cbrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0)))
9.5b	(cbrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0)))

rewrite795.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

552.0ms	(* (cbrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0))) (cbrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0))))
82.0ms	(cbrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0)))
84.0ms	(cbrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0)))
72.0ms	(cbrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0)))

series1.1s

Counts

4 → 12

Calls

4 calls:

266.0ms	(* (cbrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0))) (cbrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0))))
259.0ms	(cbrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0)))
265.0ms	(cbrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0)))
263.0ms	(cbrt (+ (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))) (pow (+ (* a a) (* b b)) 2.0)))

simplify156.0ms

Counts: 99 → 99

prune512.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify80.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.8s

20539×

body

valid