Details

Time bar (total: 27.7s)

sample84.0ms

Algorithm
intervals
Results
65.0ms305×body80valid

simplify2.4s

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite175.0ms

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:
94.0ms
(/ (/ (+ (/ PI a) (- (/ PI b))) (+ a b)) (* (- b a) 2))
63.0ms
(/ (+ (/ PI a) (- (/ PI b))) (+ a b))
3.0ms
(/ PI a)
4.0ms
(/ PI b)

series299.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(/ (/ (+ (/ PI a) (- (/ PI b))) (+ a b)) (* (- b a) 2))
112.0ms
(/ (+ (/ PI a) (- (/ PI b))) (+ a b))
36.0ms
(/ PI a)
32.0ms
(/ PI b)

simplify772.0ms

Counts
248 → 248
Iterations
IterNodes
22323
1722
0310

prune2.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
346×times-frac
276×*-un-lft-identity
254×add-sqr-sqrt
98×add-cube-cbrt
72×associate-/l*
65×distribute-lft-out--
52×difference-of-squares
37×distribute-lft-out
32×div-inv
22×add-cbrt-cube add-exp-log
11×associate-/r*
9×cbrt-undiv div-exp
8×associate-/r/
4×pow1 clear-num frac-2neg insert-posit16 add-log-exp associate-/l/
3×flip3-+ div-sub flip-+
2×flip3-- associate-*l/ prod-exp cbrt-unprod flip--
1×frac-sub
Counts
4 → 271
Calls
4 calls:
78.0ms
(/ (/ (- (/ PI a) (/ PI b)) (+ a b)) (* (- b a) 2))
69.0ms
(/ (- (/ PI a) (/ PI b)) (+ a b))
8.0ms
(/ PI a)
8.0ms
(/ PI b)

series323.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(/ (/ (- (/ PI a) (/ PI b)) (+ a b)) (* (- b a) 2))
129.0ms
(/ (- (/ PI a) (/ PI b)) (+ a b))
32.0ms
(/ PI a)
27.0ms
(/ PI b)

simplify847.0ms

Counts
283 → 283
Iterations
IterNodes
22764
1894
0374

prune2.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite151.0ms

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:
87.0ms
(* (/ (- (/ PI a) (/ PI b)) (- b a)) (/ 1/2 (+ b a)))
45.0ms
(/ (- (/ PI a) (/ PI b)) (- b a))
4.0ms
(/ PI a)
4.0ms
(/ PI b)

series239.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(* (/ (- (/ PI a) (/ PI b)) (- b a)) (/ 1/2 (+ b a)))
52.0ms
(/ (- (/ PI a) (/ PI b)) (- b a))
26.0ms
(/ PI a)
35.0ms
(/ PI b)

simplify1.3s

Counts
273 → 273
Iterations
IterNodes
22919
11017
0360

prune2.9s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 3 expressions with local error:

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

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
1526×times-frac
1099×*-un-lft-identity
1090×add-sqr-sqrt
407×add-cube-cbrt
250×associate-*r* difference-of-squares
196×distribute-lft-out--
123×distribute-lft-out
121×div-inv
64×associate-/l*
31×add-cbrt-cube add-exp-log
21×associate-*l*
13×cbrt-undiv div-exp
9×associate-/r*
8×associate-/r/
6×prod-exp cbrt-unprod unswap-sqr
5×pow1
3×insert-posit16 add-log-exp
2×clear-num frac-2neg flip3-+ flip3-- div-sub flip-+ flip--
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
3 → 668
Calls
3 calls:
105.0ms
(* (/ PI (- b a)) (/ (/ (- (/ 1 a) (/ 1 b)) 2) (+ b a)))
58.0ms
(/ (/ (- (/ 1 a) (/ 1 b)) 2) (+ b a))
14.0ms
(/ PI (- b a))

series284.0ms

Counts
3 → 9
Calls
3 calls:
132.0ms
(* (/ PI (- b a)) (/ (/ (- (/ 1 a) (/ 1 b)) 2) (+ b a)))
87.0ms
(/ (/ (- (/ 1 a) (/ 1 b)) 2) (+ b a))
64.0ms
(/ PI (- b a))

simplify1.1s

Counts
677 → 677
Iterations
IterNodes
12307
0780

prune8.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes123.0ms

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
214
114
012

end0.0ms

sample2.5s

Algorithm
intervals
Results
2.3s9633×body80valid