Details

Time bar (total: 16.0s)

sample132.0ms

Algorithm
intervals
Results
89.0ms626×body80valid

simplify1.7s

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

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)))

rewrite217.0ms

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:
67.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
64.0ms
(* (* a a) (+ 1.0 a))
24.0ms
(pow (+ (* a a) (* b b)) 2.0)
59.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series496.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
95.0ms
(* (* a a) (+ 1.0 a))
148.0ms
(pow (+ (* a a) (* b b)) 2.0)
72.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify1.3s

Counts
91 → 91

prune434.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

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)))

rewrite101.0ms

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:
66.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
11.0ms
(cbrt (+ (* a a) (* b b)))
10.0ms
(cbrt (+ (* a a) (* b b)))
10.0ms
(cbrt (+ (* a a) (* b b)))

series452.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
125.0ms
(cbrt (+ (* a a) (* b b)))
112.0ms
(cbrt (+ (* a a) (* b b)))
138.0ms
(cbrt (+ (* a a) (* b b)))

simplify690.0ms

Counts
76 → 76

prune518.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite150.0ms

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:
53.0ms
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
29.0ms
(* 2 (* (pow a 2) (pow b 2)))
27.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
38.0ms
(* (pow a 2) (pow b 2))

series242.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
48.0ms
(* 2 (* (pow a 2) (pow b 2)))
72.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
44.0ms
(* (pow a 2) (pow b 2))

simplify776.0ms

Counts
113 → 113

prune407.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

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)))

rewrite174.0ms

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:
51.0ms
(+ (pow (/ -1 a) -4.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
72.0ms
(* (* a a) (+ 1.0 a))
11.0ms
(pow (/ -1 a) -4.0)
33.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series571.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(+ (pow (/ -1 a) -4.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
68.0ms
(* (* a a) (+ 1.0 a))
294.0ms
(pow (/ -1 a) -4.0)
76.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify1.5s

Counts
102 → 102

prune484.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes152.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify1.1s

end0.0ms

sample4.3s

Algorithm
intervals
Results
3.5s20293×body80valid