Details

Time bar (total: 23.5s)

sample84.0ms

Algorithm
intervals
Results
67.0ms305×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
54677
41387
3359
294
132
015

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
275×*-un-lft-identity
246×times-frac
106×distribute-lft-out
89×add-sqr-sqrt add-cube-cbrt
65×distribute-rgt-neg-in
57×associate-/l*
32×div-inv
22×add-cbrt-cube add-exp-log
11×associate-/r*
9×cbrt-undiv div-sub div-exp
8×associate-/r/
4×pow1 clear-num frac-2neg flip3-+ flip-+ insert-posit16 add-log-exp associate-/l/
2×neg-sub0 associate-+r- unsub-neg associate-*l/ prod-exp cbrt-unprod
1×flip3-- frac-add flip-- distribute-neg-frac
Counts
4 → 236
Calls
4 calls:
75.0ms
(/ (/ (+ (/ PI a) (- (/ PI b))) (+ a b)) (* (- b a) 2))
79.0ms
(/ (+ (/ PI a) (- (/ PI b))) (+ a b))
16.0ms
(/ PI b)
11.0ms
(/ PI a)

series280.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(/ (/ (+ (/ PI a) (- (/ PI b))) (+ a b)) (* (- b a) 2))
106.0ms
(/ (+ (/ PI a) (- (/ PI b))) (+ a b))
27.0ms
(/ PI b)
43.0ms
(/ PI a)

simplify665.0ms

Counts
248 → 248
Iterations
IterNodes
22328
1722
0310

prune2.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
334×times-frac
319×add-sqr-sqrt
312×*-un-lft-identity
90×difference-of-squares
82×associate-*r*
74×add-cube-cbrt
70×distribute-lft-out--
43×div-inv
39×distribute-lft-out
32×add-cbrt-cube add-exp-log
20×associate-/l*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
6×pow1 associate-/r/ add-log-exp
5×associate-/r*
4×insert-posit16 associate-/l/
3×flip3-- associate-*l* flip--
2×clear-num frac-2neg flip3-+ associate-*l/ associate-*r/ frac-sub flip-+ unswap-sqr
1×sub-neg diff-log div-sub pow-prod-down *-commutative
Counts
4 → 279
Calls
4 calls:
17.0ms
(- (/ 1 a) (/ 1 b))
59.0ms
(/ (* PI (/ (- (/ 1 a) (/ 1 b)) (+ a b))) (* (- b a) 2))
64.0ms
(/ (- (/ 1 a) (/ 1 b)) (+ a b))
73.0ms
(* PI (/ (- (/ 1 a) (/ 1 b)) (+ a b)))

series334.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(- (/ 1 a) (/ 1 b))
105.0ms
(/ (* PI (/ (- (/ 1 a) (/ 1 b)) (+ a b))) (* (- b a) 2))
97.0ms
(/ (- (/ 1 a) (/ 1 b)) (+ a b))
117.0ms
(* PI (/ (- (/ 1 a) (/ 1 b)) (+ a b)))

simplify857.0ms

Counts
291 → 291
Iterations
IterNodes
23098
1907
0335

prune3.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
281×add-sqr-sqrt
264×times-frac
231×*-un-lft-identity
87×add-cube-cbrt
80×distribute-lft-out--
69×difference-of-squares
66×associate-*l*
27×div-inv
22×add-cbrt-cube add-exp-log
18×associate-*r* associate-/l*
11×associate-/r*
7×cbrt-undiv div-exp
6×pow1 associate-/r/
4×prod-exp cbrt-unprod insert-posit16 add-log-exp unswap-sqr
3×clear-num frac-2neg flip3-- flip-- distribute-lft-out associate-/l/
1×frac-times flip3-+ div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative frac-sub flip-+
Counts
4 → 261
Calls
4 calls:
33.0ms
(/ (- (/ PI a) (/ PI b)) (- b a))
75.0ms
(* (/ (- (/ PI a) (/ PI b)) (- b a)) (/ 1/2 (+ a b)))
4.0ms
(/ PI b)
4.0ms
(/ PI a)

series240.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ (- (/ PI a) (/ PI b)) (- b a))
111.0ms
(* (/ (- (/ PI a) (/ PI b)) (- b a)) (/ 1/2 (+ a b)))
35.0ms
(/ PI b)
44.0ms
(/ PI a)

simplify1.0s

Counts
273 → 273
Iterations
IterNodes
22967
11022
0362

prune2.9s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (+ a b) (- (/ PI a) (/ PI b)))
0.2b
(/ PI b)
0.2b
(/ PI a)
0.6b
(/ 1 (/ (+ a b) (- (/ PI a) (/ PI b))))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
633×times-frac
494×*-un-lft-identity
456×add-sqr-sqrt
204×add-cube-cbrt
105×distribute-lft-out--
84×difference-of-squares
73×associate-/r*
61×distribute-lft-out
50×div-inv
21×add-exp-log
16×associate-/r/
15×add-cbrt-cube
13×associate-/l*
10×div-exp
6×cbrt-undiv
5×pow1 flip3-- frac-sub flip--
4×clear-num frac-2neg insert-posit16 add-log-exp
2×rec-exp 1-exp associate-/l/
1×flip3-+ flip-+ pow-flip inv-pow
Counts
4 → 383
Calls
4 calls:
53.0ms
(/ (+ a b) (- (/ PI a) (/ PI b)))
7.0ms
(/ PI b)
6.0ms
(/ PI a)
28.0ms
(/ 1 (/ (+ a b) (- (/ PI a) (/ PI b))))

series426.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(/ (+ a b) (- (/ PI a) (/ PI b)))
43.0ms
(/ PI b)
49.0ms
(/ PI a)
134.0ms
(/ 1 (/ (+ a b) (- (/ PI a) (/ PI b))))

simplify1.4s

Counts
395 → 395
Iterations
IterNodes
23796
11180
0475

prune4.7s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes94.0ms

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
219
119
014

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.8s9629×body80valid