Details

Time bar (total: 37.8s)

sample75.0ms

Algorithm
intervals
Results
59.0ms301×body80valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
55056
41336
3350
292
130
015

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (/ PI 2) a) (/ (/ PI 2) b))
0.2b
(/ (/ PI 2) a)
0.3b
(/ (/ PI 2) b)
9.3b
(/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
363×times-frac
240×add-sqr-sqrt
216×*-un-lft-identity
132×add-cube-cbrt
53×associate-/l*
45×distribute-lft-out--
27×difference-of-squares
23×div-inv
19×add-cbrt-cube add-exp-log
8×cbrt-undiv div-exp associate-/r/
7×associate-/r*
6×add-log-exp
5×flip3-- flip-- associate-/l/
4×frac-times pow1 insert-posit16
3×clear-num frac-2neg flip3-+ flip-+
2×associate-*l/ associate-*r/ frac-sub
1×sub-neg diff-log div-sub prod-exp cbrt-unprod
Counts
4 → 262
Calls
4 calls:
20.0ms
(- (/ (/ PI 2) a) (/ (/ PI 2) b))
10.0ms
(/ (/ PI 2) a)
14.0ms
(/ (/ PI 2) b)
89.0ms
(/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))

series381.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(- (/ (/ PI 2) a) (/ (/ PI 2) b))
48.0ms
(/ (/ PI 2) a)
54.0ms
(/ (/ PI 2) b)
177.0ms
(/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))

simplify1.2s

Counts
274 → 274
Iterations
IterNodes
23143
11073
0438

prune2.8s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b)) (- b a))
0.2b
(/ (/ PI 2) a)
0.2b
(/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b))
0.3b
(/ (/ PI 2) b)

rewrite266.0ms

Algorithm
rewrite-expression-head
Rules
3274×times-frac
2256×*-un-lft-identity
2108×add-sqr-sqrt
834×add-cube-cbrt
550×distribute-lft-out--
376×difference-of-squares
190×distribute-lft-out
167×associate-/l*
134×div-inv
21×add-cbrt-cube add-exp-log
16×associate-/r/
15×associate-/r*
10×cbrt-undiv div-exp
7×flip3-+ flip-+
6×associate-/l/
4×pow1 clear-num frac-2neg insert-posit16 add-log-exp
3×div-sub
2×flip3-- flip--
1×frac-sub
Counts
4 → 1008
Calls
4 calls:
93.0ms
(/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b)) (- b a))
14.0ms
(/ (/ PI 2) a)
84.0ms
(/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b))
10.0ms
(/ (/ PI 2) b)

series442.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b)) (- b a))
71.0ms
(/ (/ PI 2) a)
146.0ms
(/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b))
70.0ms
(/ (/ PI 2) b)

simplify1.7s

Counts
1020 → 1020
Iterations
IterNodes
13015
01253

prune12.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
288×add-sqr-sqrt
268×times-frac
242×*-un-lft-identity
85×distribute-lft-out--
82×add-cube-cbrt
73×difference-of-squares
66×associate-*r*
28×div-inv
20×add-cbrt-cube add-exp-log
18×associate-*l*
15×associate-/l*
9×associate-/r*
8×associate-/r/
7×distribute-lft-out
6×pow1 cbrt-undiv div-exp add-log-exp
4×flip3-- prod-exp cbrt-unprod insert-posit16 flip-- unswap-sqr
3×associate-/l/
2×clear-num frac-2neg flip3-+ frac-sub flip-+
1×frac-times sub-neg diff-log div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 262
Calls
4 calls:
11.0ms
(- (/ 1/2 a) (/ 1/2 b))
50.0ms
(/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))
89.0ms
(* (/ PI (+ a b)) (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)))
16.0ms
(/ PI (+ a b))

series316.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- (/ 1/2 a) (/ 1/2 b))
80.0ms
(/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))
141.0ms
(* (/ PI (+ a b)) (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)))
55.0ms
(/ PI (+ a b))

simplify1.4s

Counts
274 → 274
Iterations
IterNodes
23495
11024
0340

prune3.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (- (/ (sqrt 1/2) a) (/ (sqrt 1/2) b)) (- b a))
0.2b
(/ (* PI (sqrt 1/2)) (+ b a))
0.4b
(/ (sqrt 1/2) b)
0.5b
(/ (sqrt 1/2) a)

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
339×add-sqr-sqrt
318×times-frac
247×*-un-lft-identity
108×sqrt-prod
89×add-cube-cbrt
83×distribute-lft-out--
77×difference-of-squares
35×associate-/l*
16×div-inv
15×associate-/r* add-cbrt-cube add-exp-log
5×cbrt-undiv div-exp
4×pow1 clear-num frac-2neg associate-/r/ insert-posit16 add-log-exp
3×associate-/l/
2×flip3-- flip-- distribute-lft-out
1×flip3-+ div-sub prod-exp frac-sub cbrt-unprod flip-+
Counts
4 → 262
Calls
4 calls:
58.0ms
(/ (- (/ (sqrt 1/2) a) (/ (sqrt 1/2) b)) (- b a))
21.0ms
(/ (* PI (sqrt 1/2)) (+ b a))
9.0ms
(/ (sqrt 1/2) b)
11.0ms
(/ (sqrt 1/2) a)

series475.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(/ (- (/ (sqrt 1/2) a) (/ (sqrt 1/2) b)) (- b a))
189.0ms
(/ (* PI (sqrt 1/2)) (+ b a))
66.0ms
(/ (sqrt 1/2) b)
86.0ms
(/ (sqrt 1/2) a)

simplify4.2s

Counts
274 → 274
Iterations
IterNodes
35594
21947
1750
0325

prune3.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes159.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
219
119
016

end0.0ms

sample2.7s

Algorithm
intervals
Results
2.5s9595×body80valid