Details

Time bar (total: 33.9s)

sample166.0ms

Algorithm
intervals
Results
138.0ms691×body80valid

simplify210.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
210.0ms
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize62.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* b b) (- 1 (* 3 a)))
0.3b
(pow (+ (* a a) (* b b)) 2)
0.1b
(* (* a a) (+ 1 a))
0.0b
(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))

rewrite186.0ms

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/ insert-posit16
3×pow-unpow unpow-prod-down
2×associate-+r+ sub-neg flip3-+ associate-*l* *-commutative flip-+ unswap-sqr
1×pow-to-exp +-commutative sum-log pow-pow flip3-- pow-exp flip-- distribute-lft-out unpow2 sqr-pow
Counts
4 → 84
Calls
4 calls:
Slowest
76.0ms
(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
51.0ms
(* (* b b) (- 1 (* 3 a)))
43.0ms
(* (* a a) (+ 1 a))
15.0ms
(pow (+ (* a a) (* b b)) 2)

series333.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
163.0ms
(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
64.0ms
(* (* a a) (+ 1 a))
62.0ms
(* (* b b) (- 1 (* 3 a)))
43.0ms
(pow (+ (* a a) (* b b)) 2)

simplify8.2s

Counts
55 → 96
Calls
55 calls:
Slowest
960.0ms
(* (* (* (* a a) a) (* (* a a) a)) (* (* (+ 1 a) (+ 1 a)) (+ 1 a)))
955.0ms
(* (* (* (* a a) (* a a)) (* a a)) (* (* (+ 1 a) (+ 1 a)) (+ 1 a)))
820.0ms
(* 4 (* (* b b) (- 1 (* 3 a))))
722.0ms
(* (* (* (* b b) b) (* (* b b) b)) (* (* (- 1 (* 3 a)) (- 1 (* 3 a))) (- 1 (* 3 a))))
325.0ms
(* (* b b) (- 1 (* 3 a)))

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

6.4b
(cbrt (+ (* a a) (* b b)))
6.4b
(cbrt (+ (* a a) (* b b)))
0.5b
(pow (cbrt (+ (* a a) (* b b))) 2)
0.3b
(* (* b b) (- 1 (* 3 a)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×pow1 *-un-lft-identity add-exp-log add-cube-cbrt
9×cbrt-prod add-cbrt-cube
6×unpow-prod-down
4×cbrt-div insert-posit16 add-log-exp
3×pow-unpow pow1/3 associate-*r* pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg pow-pow distribute-lft-in flip3-+ associate-*r/ flip-+
1×pow-to-exp flip3-- associate-*l* pow-exp *-commutative flip-- unpow2 unswap-sqr sqr-pow
Counts
4 → 77
Calls
4 calls:
Slowest
43.0ms
(* (* b b) (- 1 (* 3 a)))
10.0ms
(pow (cbrt (+ (* a a) (* b b))) 2)
9.0ms
(cbrt (+ (* a a) (* b b)))
4.0ms
(cbrt (+ (* a a) (* b b)))

series436.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
137.0ms
(pow (cbrt (+ (* a a) (* b b))) 2)
124.0ms
(cbrt (+ (* a a) (* b b)))
108.0ms
(cbrt (+ (* a a) (* b b)))
66.0ms
(* (* b b) (- 1 (* 3 a)))

simplify5.5s

Counts
50 → 89
Calls
50 calls:
Slowest
759.0ms
(* (* (* (* b b) b) (* (* b b) b)) (* (* (- 1 (* 3 a)) (- 1 (* 3 a))) (- 1 (* 3 a))))
312.0ms
(* (* b b) (- 1 (* 3 a)))
295.0ms
(* (* b b) (- 1 (* 3 a)))
276.0ms
(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
274.0ms
(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))

prune1.5s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

6.4b
(cbrt (+ (* a a) (* b b)))
5.9b
(sqrt (+ (* a a) (* b b)))
5.9b
(sqrt (+ (* a a) (* b b)))
0.6b
(cbrt (sqrt (+ (* a a) (* b b))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod *-un-lft-identity add-cube-cbrt sqrt-prod
6×pow1 sqrt-div
4×cbrt-div flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3
Counts
4 → 63
Calls
4 calls:
Slowest
12.0ms
(sqrt (+ (* a a) (* b b)))
8.0ms
(sqrt (+ (* a a) (* b b)))
4.0ms
(cbrt (sqrt (+ (* a a) (* b b))))
4.0ms
(cbrt (+ (* a a) (* b b)))

series346.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
137.0ms
(cbrt (sqrt (+ (* a a) (* b b))))
115.0ms
(cbrt (+ (* a a) (* b b)))
49.0ms
(sqrt (+ (* a a) (* b b)))
44.0ms
(sqrt (+ (* a a) (* b b)))

simplify2.7s

Counts
39 → 75
Calls
39 calls:
Slowest
319.0ms
(cbrt (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))))
302.0ms
(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
295.0ms
(sqrt (+ (pow (* a a) 3) (pow (* b b) 3)))
263.0ms
(cbrt (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))))
262.0ms
(sqrt (+ (pow (* a a) 3) (pow (* b b) 3)))

prune1.5s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize148.0ms

Local error

Found 4 expressions with local error:

6.4b
(cbrt (+ (* a a) (* b b)))
5.9b
(sqrt (+ (* a a) (* b b)))
5.9b
(sqrt (+ (* a a) (* b b)))
5.9b
(sqrt (+ (* a a) (* b b)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×sqrt-prod
8×*-un-lft-identity add-cube-cbrt
7×pow1
6×sqrt-div
4×flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 add-log-exp
3×cbrt-prod rem-sqrt-square sqrt-pow1 pow1/2
2×cbrt-div
1×pow1/3
Counts
4 → 62
Calls
4 calls:
Slowest
12.0ms
(sqrt (+ (* a a) (* b b)))
12.0ms
(sqrt (+ (* a a) (* b b)))
11.0ms
(sqrt (+ (* a a) (* b b)))
8.0ms
(cbrt (+ (* a a) (* b b)))

series294.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
133.0ms
(cbrt (+ (* a a) (* b b)))
59.0ms
(sqrt (+ (* a a) (* b b)))
57.0ms
(sqrt (+ (* a a) (* b b)))
45.0ms
(sqrt (+ (* a a) (* b b)))

simplify2.9s

Counts
38 → 74
Calls
38 calls:
Slowest
403.0ms
(sqrt (+ (pow (* a a) 3) (pow (* b b) 3)))
382.0ms
(sqrt (+ (pow (* a a) 3) (pow (* b b) 3)))
331.0ms
(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
295.0ms
(sqrt (+ (pow (* a a) 3) (pow (* b b) 3)))
281.0ms
(sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b))))

prune1.7s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes676.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch4.0ms

end0.0ms

sample5.6s

Algorithm
intervals
Results
5.1s20692×body80valid