Details

Time bar (total: 7.6s)

sample75.0ms

Algorithm
intervals
Results
49.0ms651×body80valid

simplify100.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize50.0ms

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)))

rewrite480.0ms

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:
66.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
368.0ms
(* (* a a) (+ 1.0 a))
12.0ms
(pow (+ (* a a) (* b b)) 2.0)
32.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series407.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
62.0ms
(* (* a a) (+ 1.0 a))
135.0ms
(pow (+ (* a a) (* b b)) 2.0)
65.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify71.0ms

Counts
91 → 91

prune283.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (* b b) (- 1.0 (* 3.0 a)))
0.9b
(* (* b b) (- 1.0 (* 3.0 a)))
9.1b
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))))
9.1b
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
14×add-exp-log add-cbrt-cube
12×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×associate-*r* pow-prod-down prod-exp sqrt-prod cbrt-unprod
4×distribute-rgt-in sub-neg distribute-lft-in sqrt-div associate-*r/ add-log-exp
2×rem-sqrt-square flip3-- sqrt-pow1 flip3-+ pow1/2 associate-*l* *-commutative flip-- flip-+ unswap-sqr
Counts
4 → 80
Calls
4 calls:
29.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
29.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
61.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))))
63.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))))

series527.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
56.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
204.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))))
202.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))))

simplify47.0ms

Counts
92 → 92

prune363.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (pow (sqrt (+ (* a a) (* b b))) 2.0) (pow (sqrt (+ (* a a) (* b b))) 2.0))
0.9b
(* (* b b) (- 1.0 (* 3.0 a)))
9.0b
(sqrt (+ (* a a) (* b b)))
9.0b
(sqrt (+ (* a a) (* b b)))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×unpow-prod-down
28×sqrt-prod
21×add-exp-log
19×add-cube-cbrt *-un-lft-identity
17×unswap-sqr
13×associate-*r*
12×swap-sqr prod-exp sqr-pow
11×pow1 associate-*l* add-cbrt-cube
6×pow-to-exp pow-exp
4×sqrt-div pow-prod-down cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg rem-sqrt-square distribute-lft-in sqrt-pow1 flip3-+ pow1/2 associate-*r/ *-commutative flip-+
1×pow2 flip3-- pow-sqr pow-prod-up flip--
Counts
4 → 125
Calls
4 calls:
83.0ms
(* (pow (sqrt (+ (* a a) (* b b))) 2.0) (pow (sqrt (+ (* a a) (* b b))) 2.0))
35.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
8.0ms
(sqrt (+ (* a a) (* b b)))
9.0ms
(sqrt (+ (* a a) (* b b)))

series327.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(* (pow (sqrt (+ (* a a) (* b b))) 2.0) (pow (sqrt (+ (* a a) (* b b))) 2.0))
60.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
43.0ms
(sqrt (+ (* a a) (* b b)))
45.0ms
(sqrt (+ (* a a) (* b b)))

simplify63.0ms

Counts
137 → 137

prune435.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1 (pow (sqrt (+ (* a a) (* b b))) (* 2 2.0))) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
0.1b
(* (* a a) (+ 1.0 a))
0.9b
(* (* b b) (- 1.0 (* 3.0 a)))
9.0b
(sqrt (+ (* a a) (* b b)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1
14×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
9×*-un-lft-identity
7×add-cube-cbrt associate-*r*
6×pow-prod-down prod-exp cbrt-unprod add-log-exp
4×distribute-rgt-in distribute-lft-in associate-*r/
3×flip3-+ sqrt-prod flip-+
2×sub-neg associate-+r+ sqrt-div associate-*l* *-commutative unswap-sqr
1×+-commutative rem-sqrt-square flip3-- sqrt-pow1 pow1/2 sum-log flip-- distribute-lft-out
Counts
4 → 77
Calls
4 calls:
23.0ms
(+ (* 1 (pow (sqrt (+ (* a a) (* b b))) (* 2 2.0))) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
35.0ms
(* (* a a) (+ 1.0 a))
28.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
15.0ms
(sqrt (+ (* a a) (* b b)))

series294.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(+ (* 1 (pow (sqrt (+ (* a a) (* b b))) (* 2 2.0))) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
60.0ms
(* (* a a) (+ 1.0 a))
60.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
42.0ms
(sqrt (+ (* a a) (* b b)))

simplify74.0ms

Counts
89 → 89

prune311.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.1s

Algorithm
intervals
Results
2.5s20678×body80valid