Details

Time bar (total: 15.0s)

sample78.0ms

Algorithm
intervals
Results
62.0ms314×body80valid

simplify1.1s

Counts
1 → 1
Iterations
IterNodes
done2014
52014
41476
3358
294
132
015

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.6b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 a) (/ 1 b))
0.1b
(/ (/ PI (+ a b)) (* 2 (- b a)))
0.2b
(/ PI (+ a b))
10.6b
(* (/ (/ PI (+ a b)) (* 2 (- b a))) (- (/ 1 a) (/ 1 b)))

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
120×times-frac
101×*-un-lft-identity
93×add-sqr-sqrt
43×add-cube-cbrt
36×add-cbrt-cube add-exp-log
24×associate-*l*
21×associate-/l*
19×associate-*r*
18×difference-of-squares
14×div-inv distribute-lft-out--
13×cbrt-undiv div-exp distribute-lft-out
12×associate-/r/
9×prod-exp cbrt-unprod
7×associate-*r/
6×pow1 add-log-exp
5×associate-/r* flip3-- flip--
4×flip3-+ flip-+ insert-posit16
3×frac-times sub-neg frac-sub
2×distribute-rgt-in clear-num frac-2neg distribute-lft-in
1×diff-log pow-prod-down associate-*l/ *-commutative unswap-sqr associate-/l/
Counts
4 → 198
Calls
4 calls:
21.0ms
(- (/ 1 a) (/ 1 b))
36.0ms
(/ (/ PI (+ a b)) (* 2 (- b a)))
8.0ms
(/ PI (+ a b))
117.0ms
(* (/ (/ PI (+ a b)) (* 2 (- b a))) (- (/ 1 a) (/ 1 b)))

series340.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(- (/ 1 a) (/ 1 b))
118.0ms
(/ (/ PI (+ a b)) (* 2 (- b a)))
74.0ms
(/ PI (+ a b))
132.0ms
(* (/ (/ PI (+ a b)) (* 2 (- b a))) (- (/ 1 a) (/ 1 b)))

simplify1.2s

Counts
210 → 210
Iterations
IterNodes
done2002
22002
1889
0288

prune951.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 a) (/ 1 b))
0.2b
(/ (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a)))
0.2b
(/ PI (+ a b))
0.3b
(* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
72×*-un-lft-identity
62×times-frac
32×add-cbrt-cube add-exp-log
26×add-cube-cbrt
19×associate-*r*
18×associate-*l* difference-of-squares
14×distribute-lft-out--
11×div-inv
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
8×associate-*r/
7×distribute-lft-out associate-/l/
6×frac-times pow1 flip3-- associate-/r/ flip-- add-log-exp
5×associate-/r* frac-sub
4×insert-posit16 associate-/l*
3×sub-neg
2×distribute-rgt-in clear-num frac-2neg distribute-lft-in flip3-+ associate-*l/ flip-+ unswap-sqr
1×diff-log pow-prod-down *-commutative
Counts
4 → 163
Calls
4 calls:
16.0ms
(- (/ 1 a) (/ 1 b))
38.0ms
(/ (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a)))
10.0ms
(/ PI (+ a b))
82.0ms
(* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))

series302.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(- (/ 1 a) (/ 1 b))
103.0ms
(/ (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a)))
59.0ms
(/ PI (+ a b))
116.0ms
(* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))

simplify1.0s

Counts
175 → 175
Iterations
IterNodes
done2002
22002
1790
0247

prune853.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 a) (/ 1 b))
0.2b
(* (/ (/ PI (+ a b)) 2) (/ (- (/ 1 a) (/ 1 b)) (- b a)))
0.2b
(/ (- (/ 1 a) (/ 1 b)) (- b a))
0.2b
(/ PI (+ a b))

rewrite254.0ms

Algorithm
rewrite-expression-head
Rules
518×add-sqr-sqrt
517×times-frac
427×*-un-lft-identity
147×difference-of-squares
131×add-cube-cbrt
123×distribute-lft-out--
101×associate-*r*
58×associate-*l*
55×div-inv
29×add-cbrt-cube add-exp-log
22×associate-/l*
13×distribute-lft-out
12×associate-/r/
11×cbrt-undiv div-exp
9×associate-/r*
6×pow1 prod-exp cbrt-unprod add-log-exp unswap-sqr
4×flip3-+ flip3-- flip-+ insert-posit16 flip--
3×associate-/l/
2×clear-num frac-2neg frac-sub
1×frac-times sub-neg diff-log div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 392
Calls
4 calls:
23.0ms
(- (/ 1 a) (/ 1 b))
125.0ms
(* (/ (/ PI (+ a b)) 2) (/ (- (/ 1 a) (/ 1 b)) (- b a)))
70.0ms
(/ (- (/ 1 a) (/ 1 b)) (- b a))
16.0ms
(/ PI (+ a b))

series267.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(- (/ 1 a) (/ 1 b))
129.0ms
(* (/ (/ PI (+ a b)) 2) (/ (- (/ 1 a) (/ 1 b)) (- b a)))
49.0ms
(/ (- (/ 1 a) (/ 1 b)) (- b a))
66.0ms
(/ PI (+ a b))

simplify1.4s

Counts
404 → 404
Iterations
IterNodes
done2003
22003
11551
0492

prune1.7s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1/2 (- b a))
0.2b
(/ PI (+ a b))
0.3b
(* (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (/ 1/2 (- b a)))
0.3b
(* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
87×*-un-lft-identity
86×add-sqr-sqrt
73×times-frac
43×add-cube-cbrt
40×associate-*r*
34×add-cbrt-cube add-exp-log
19×associate-*l*
16×frac-times difference-of-squares
14×distribute-lft-out--
12×prod-exp cbrt-unprod
11×pow1
10×associate-*l/ associate-*r/
9×associate-/r*
8×cbrt-undiv flip3-- div-exp associate-/r/ div-inv flip--
7×distribute-lft-out
6×frac-sub associate-/l*
4×pow-prod-down insert-posit16 add-log-exp
2×distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in flip3-+ *-commutative flip-+ unswap-sqr
Counts
4 → 196
Calls
4 calls:
8.0ms
(/ 1/2 (- b a))
8.0ms
(/ PI (+ a b))
85.0ms
(* (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (/ 1/2 (- b a)))
65.0ms
(* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))

series360.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ 1/2 (- b a))
55.0ms
(/ PI (+ a b))
121.0ms
(* (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (/ 1/2 (- b a)))
139.0ms
(* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))

simplify1.1s

Counts
208 → 208
Iterations
IterNodes
done2001
22001
1919
0293

prune816.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done18
118
014

end0.0ms

sample2.4s

Algorithm
intervals
Results
2.1s9619×body80valid