Details

Time bar (total: 27.3s)

sample81.0ms

Algorithm
intervals
Results
63.0ms306×body80valid

simplify2.5s

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (/ PI 2) a) (/ (/ PI 2) b))
0.3b
(/ (/ PI 2) b)
0.3b
(/ (/ PI 2) a)
12.1b
(/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))

rewrite166.0ms

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:
41.0ms
(- (/ (/ PI 2) a) (/ (/ PI 2) b))
15.0ms
(/ (/ PI 2) b)
15.0ms
(/ (/ PI 2) a)
84.0ms
(/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))

series356.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(- (/ (/ PI 2) a) (/ (/ PI 2) b))
64.0ms
(/ (/ PI 2) b)
51.0ms
(/ (/ PI 2) a)
157.0ms
(/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))

simplify1.2s

Counts
274 → 274
Iterations
IterNodes
23143
11073
0438

prune2.8s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite225.0ms

Algorithm
rewrite-expression-head
Rules
1121×times-frac
840×add-sqr-sqrt
743×*-un-lft-identity
317×add-cube-cbrt
220×distribute-lft-out--
154×difference-of-squares
141×associate-*r*
57×div-inv
53×associate-/l*
38×add-exp-log
28×add-cbrt-cube
18×associate-*l*
15×div-exp
11×cbrt-undiv associate-/r*
8×prod-exp
6×pow1 associate-/r/ unswap-sqr
5×associate-/l/
4×cbrt-unprod insert-posit16 add-log-exp
3×clear-num frac-2neg flip3-- flip-- distribute-lft-out
2×rec-exp 1-exp
1×frac-times flip3-+ div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative frac-sub flip-+
Counts
4 → 518
Calls
4 calls:
123.0ms
(* (/ 1 (+ a b)) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a)))
63.0ms
(/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a))
14.0ms
(/ (/ PI 2) b)
7.0ms
(/ (/ PI 2) a)

series420.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(* (/ 1 (+ a b)) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a)))
145.0ms
(/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a))
82.0ms
(/ (/ PI 2) b)
57.0ms
(/ (/ PI 2) a)

simplify1.1s

Counts
530 → 530
Iterations
IterNodes
12155
0736

prune6.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) (+ a b))
0.2b
(/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a))
0.3b
(/ PI (* 2 b))
0.3b
(/ PI (* 2 a))

rewrite243.0ms

Algorithm
rewrite-expression-head
Rules
666×times-frac
489×*-un-lft-identity
385×add-sqr-sqrt
213×add-cube-cbrt
210×distribute-lft-out--
86×difference-of-squares
71×div-inv
66×associate-/l*
52×distribute-lft-out
21×add-cbrt-cube add-exp-log
14×associate-/r/
11×associate-/r*
8×cbrt-undiv div-exp
7×flip3-- flip--
4×pow1 clear-num frac-2neg insert-posit16 add-log-exp associate-/l/
3×div-sub
2×prod-exp cbrt-unprod
1×flip3-+ frac-sub flip-+
Counts
4 → 400
Calls
4 calls:
93.0ms
(/ (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) (+ a b))
115.0ms
(/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a))
8.0ms
(/ PI (* 2 b))
6.0ms
(/ PI (* 2 a))

series317.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(/ (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) (+ a b))
89.0ms
(/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a))
38.0ms
(/ PI (* 2 b))
56.0ms
(/ PI (* 2 a))

simplify1.5s

Counts
412 → 412
Iterations
IterNodes
23747
11247
0507

prune4.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (* 1/2 (/ PI (* a b))) (+ a b))
0.4b
(/ PI (* a b))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
10×*-un-lft-identity
8×cbrt-undiv div-exp
7×times-frac
6×add-sqr-sqrt add-cube-cbrt
5×associate-/r* prod-exp cbrt-unprod
4×associate-/l*
2×pow1 clear-num frac-2neg associate-/r/ insert-posit16 div-inv distribute-lft-out add-log-exp
1×flip3-+ associate-*r/ flip-+ associate-/l/
Counts
2 → 53
Calls
2 calls:
23.0ms
(/ (* 1/2 (/ PI (* a b))) (+ a b))
6.0ms
(/ PI (* a b))

series115.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(/ (* 1/2 (/ PI (* a b))) (+ a b))
34.0ms
(/ PI (* a b))

simplify2.8s

Counts
59 → 59
Iterations
IterNodes
36815
21075
1294
0109

prune484.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
212
112
09

end0.0ms

sample2.3s

Algorithm
intervals
Results
2.1s9607×body80valid