Details

sample91.0ms

Algorithm

intervals

Results

62.0ms

626×

body

valid

simplify1.7s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

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))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.9b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite177.0ms

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:

74.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
40.0ms	(* (* a a) (+ 1.0 a))
10.0ms	(pow (+ (* a a) (* b b)) 2.0)
51.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series498.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
94.0ms	(* (* a a) (+ 1.0 a))
169.0ms	(pow (+ (* a a) (* b b)) 2.0)
58.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify1.2s

Counts: 91 → 91

prune372.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (* b b) (- 1.0 (* 3.0 a)))
8.6b	(cbrt (+ (* a a) (* b b)))
8.6b	(cbrt (+ (* a a) (* b b)))
8.6b	(cbrt (+ (* a a) (* b b)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
4×	`add-log-exp`
3×	`flip3-+` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

29.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
12.0ms	(cbrt (+ (* a a) (* b b)))
5.0ms	(cbrt (+ (* a a) (* b b)))
5.0ms	(cbrt (+ (* a a) (* b b)))

series436.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
119.0ms	(cbrt (+ (* a a) (* b b)))
110.0ms	(cbrt (+ (* a a) (* b b)))
134.0ms	(cbrt (+ (* a a) (* b b)))

simplify673.0ms

Counts: 76 → 76

prune507.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
0.0b	(* 2 (* (pow a 2) (pow b 2)))
0.0b	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
3.1b	(* (pow a 2) (pow b 2))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log`
28×	`prod-exp`
25×	`add-sqr-sqrt`
16×	`unswap-sqr`
14×	`unpow-prod-down`
12×	`pow-to-exp` `pow-exp`
11×	`-un-lft-identity` `associate-l*` `add-cbrt-cube` `add-log-exp`
10×	`unpow2` `sqr-pow`
9×	`add-cube-cbrt` `associate-r`
6×	`pow1`
4×	`sum-log` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `pow-prod-down` `*-commutative` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

4 → 101

Calls

4 calls:

62.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
45.0ms	(* 2 (* (pow a 2) (pow b 2)))
24.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
30.0ms	(* (pow a 2) (pow b 2))

series241.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
40.0ms	(* 2 (* (pow a 2) (pow b 2)))
84.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
54.0ms	(* (pow a 2) (pow b 2))

simplify830.0ms

Counts: 113 → 113

prune277.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (/ -1 a) -4.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(pow (/ -1 a) -4.0)
0.9b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

44.0ms	(+ (pow (/ -1 a) -4.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
31.0ms	(* (* a a) (+ 1.0 a))
10.0ms	(pow (/ -1 a) -4.0)
46.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series500.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(+ (pow (/ -1 a) -4.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
66.0ms	(* (* a a) (+ 1.0 a))
239.0ms	(pow (/ -1 a) -4.0)
73.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify1.3s

Counts: 102 → 102

prune412.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes123.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0s

end0.0ms

sample3.9s

Algorithm

intervals

Results

3.2s

20293×

body

valid