Details

Time bar (total: 17.8s)

sample46.0ms

Algorithm
intervals
Results
32.0ms621×body80valid

simplify3.0s

Counts
1 → 1
Iterations
IterNodes
done5001
63602
51449
4529
3151
253
128
012

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1) (* -4 (* b b)))
0.0b
(+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)
0.0b
(* -4 (* b b))
0.3b
(* (+ (* b b) (* a a)) (+ (* b b) (* a a)))

rewrite230.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
12×add-sqr-sqrt
11×add-cbrt-cube add-exp-log add-log-exp
9×*-un-lft-identity add-cube-cbrt
7×flip3-+ flip-+
6×associate-*l*
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16
3×swap-sqr
2×distribute-rgt-in associate-+l+ sum-log distribute-lft-in diff-log associate-*l/ associate-*r/ *-commutative unswap-sqr
1×pow2 +-commutative difference-of-sqr--1 sub-neg pow-plus flip3-- associate--l+ pow-sqr pow-prod-up flip--
Counts
4 → 86
Calls
4 calls:
137.0ms
(- (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1) (* -4 (* b b)))
32.0ms
(+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)
13.0ms
(* -4 (* b b))
48.0ms
(* (+ (* b b) (* a a)) (+ (* b b) (* a a)))

series249.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(- (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1) (* -4 (* b b)))
69.0ms
(+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)
40.0ms
(* -4 (* b b))
46.0ms
(* (+ (* b b) (* a a)) (+ (* b b) (* a a)))

simplify1.7s

Counts
98 → 98
Iterations
IterNodes
done5006
21787
1506
0149

prune515.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (+ (* b b) (* a a)) (sqrt (+ (* b b) (* a a)))) (sqrt (+ (* b b) (* a a))))
0.2b
(* (+ (* b b) (* a a)) (sqrt (+ (* b b) (* a a))))
9.1b
(sqrt (+ (* b b) (* a a)))
9.1b
(sqrt (+ (* b b) (* a a)))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
46×sqrt-div
35×flip3-+ flip-+
32×frac-times
25×pow1
20×add-sqr-sqrt
16×associate-*l/
13×sqrt-prod
12×associate-*r*
11×*-un-lft-identity add-cbrt-cube add-exp-log pow-prod-up add-cube-cbrt
10×associate-*r/
7×sqrt-pow1 pow1/2
4×associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
3×pow3
2×rem-sqrt-square *-commutative unswap-sqr
1×pow-plus
Counts
4 → 120
Calls
4 calls:
84.0ms
(* (* (+ (* b b) (* a a)) (sqrt (+ (* b b) (* a a)))) (sqrt (+ (* b b) (* a a))))
37.0ms
(* (+ (* b b) (* a a)) (sqrt (+ (* b b) (* a a))))
6.0ms
(sqrt (+ (* b b) (* a a)))
6.0ms
(sqrt (+ (* b b) (* a a)))

series314.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (* (+ (* b b) (* a a)) (sqrt (+ (* b b) (* a a)))) (sqrt (+ (* b b) (* a a))))
154.0ms
(* (+ (* b b) (* a a)) (sqrt (+ (* b b) (* a a))))
47.0ms
(sqrt (+ (* b b) (* a a)))
52.0ms
(sqrt (+ (* b b) (* a a)))

simplify1.9s

Counts
132 → 132
Iterations
IterNodes
done5003
21444
1426
0157

prune642.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow (sqrt (+ (* b b) (* a a))) 4) -1)
0.0b
(pow (sqrt (+ (* b b) (* a a))) 4)
0.0b
(* -4 (* b b))
9.1b
(sqrt (+ (* b b) (* a a)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×pow1
11×*-un-lft-identity
10×add-exp-log
9×add-cbrt-cube add-cube-cbrt
8×unpow-prod-down
7×sqrt-prod
6×add-log-exp
4×difference-of-sqr--1 insert-posit16
3×pow-unpow pow-pow associate-*l* pow-prod-down prod-exp cbrt-unprod
2×sqrt-pow1 flip3-+ pow1/2 sqrt-div flip-+ sqr-pow
1×pow-to-exp +-commutative rem-sqrt-square sum-log associate-*r* pow-exp *-commutative sqrt-pow2 distribute-lft-out unswap-sqr
Counts
4 → 77
Calls
4 calls:
47.0ms
(+ (pow (sqrt (+ (* b b) (* a a))) 4) -1)
10.0ms
(pow (sqrt (+ (* b b) (* a a))) 4)
26.0ms
(* -4 (* b b))
12.0ms
(sqrt (+ (* b b) (* a a)))

series227.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(+ (pow (sqrt (+ (* b b) (* a a))) 4) -1)
70.0ms
(pow (sqrt (+ (* b b) (* a a))) 4)
34.0ms
(* -4 (* b b))
64.0ms
(sqrt (+ (* b b) (* a a)))

simplify2.8s

Counts
89 → 89
Iterations
IterNodes
done5001
33495
21017
1366
0135

prune419.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(* -4 (* b b))
0.0b
(exp (- (+ -1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* -4 (* b b))))
0.3b
(* (+ (* b b) (* a a)) (+ (* b b) (* a a)))
0.7b
(log (exp (- (+ -1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* -4 (* b b)))))

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1
15×add-sqr-sqrt
12×*-un-lft-identity add-cube-cbrt
11×add-cbrt-cube add-exp-log
10×add-log-exp
6×log-prod exp-prod flip3-+ associate-*l* exp-sum flip-+
4×frac-times associate-*r* pow-prod-down prod-exp log-pow cbrt-unprod insert-posit16
3×swap-sqr rem-exp-log
2×sub-neg exp-diff diff-log associate-*l/ associate--l+ associate-*r/ *-commutative unswap-sqr
1×pow2 distribute-rgt-in log-div sum-log distribute-lft-in pow-plus rem-log-exp pow-sqr pow-prod-up
Counts
4 → 94
Calls
4 calls:
26.0ms
(* -4 (* b b))
86.0ms
(exp (- (+ -1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* -4 (* b b))))
64.0ms
(* (+ (* b b) (* a a)) (+ (* b b) (* a a)))
45.0ms
(log (exp (- (+ -1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* -4 (* b b)))))

series251.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* -4 (* b b))
66.0ms
(exp (- (+ -1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* -4 (* b b))))
55.0ms
(* (+ (* b b) (* a a)) (+ (* b b) (* a a)))
89.0ms
(log (exp (- (+ -1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* -4 (* b b)))))

simplify1.6s

Counts
106 → 106
Iterations
IterNodes
done5002
21541
1453
0155

prune426.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done16
116
013

end0.0ms

sample2.7s

Algorithm
intervals
Results
2.3s20480×body80valid