Details

Time bar (total: 17.8s)

sample52.0ms

Algorithm
intervals
Results
42.0ms299×body80valid

simplify1.0s

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.6b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 a) (/ 1 b))
0.1b
(/ (/ PI (+ a b)) (* 2 (- b a)))
0.3b
(/ PI (+ a b))
9.6b
(* (/ (/ PI (+ a b)) (* 2 (- b a))) (- (/ 1 a) (/ 1 b)))

rewrite157.0ms

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:
12.0ms
(- (/ 1 a) (/ 1 b))
28.0ms
(/ (/ PI (+ a b)) (* 2 (- b a)))
14.0ms
(/ PI (+ a b))
99.0ms
(* (/ (/ PI (+ a b)) (* 2 (- b a))) (- (/ 1 a) (/ 1 b)))

series273.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(- (/ 1 a) (/ 1 b))
94.0ms
(/ (/ PI (+ a b)) (* 2 (- b a)))
56.0ms
(/ PI (+ a b))
105.0ms
(* (/ (/ PI (+ a b)) (* 2 (- b a))) (- (/ 1 a) (/ 1 b)))

simplify1.1s

Counts
210 → 210
Iterations
IterNodes
done2002
22002
1889
0288

prune915.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 a) (/ 1 b))
0.1b
(/ (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a)))
0.3b
(* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))
0.3b
(/ PI (+ a b))

rewrite167.0ms

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:
15.0ms
(- (/ 1 a) (/ 1 b))
40.0ms
(/ (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a)))
98.0ms
(* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))
8.0ms
(/ PI (+ a b))

series322.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(- (/ 1 a) (/ 1 b))
122.0ms
(/ (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a)))
122.0ms
(* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))
55.0ms
(/ PI (+ a b))

simplify999.0ms

Counts
175 → 175
Iterations
IterNodes
done2001
22001
1792
0247

prune874.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 a) (/ 1 b))
0.1b
(/ (* PI (/ (- (/ 1 a) (/ 1 b)) (+ b a))) (* 2 (- b a)))
0.2b
(/ (- (/ 1 a) (/ 1 b)) (+ b a))
0.3b
(* PI (/ (- (/ 1 a) (/ 1 b)) (+ b a)))

rewrite178.0ms

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×associate-*r/ insert-posit16 associate-/l/
3×flip3-- associate-*l* flip--
2×clear-num frac-2neg flip3-+ frac-sub flip-+ unswap-sqr
1×sub-neg diff-log div-sub pow-prod-down *-commutative
Counts
4 → 279
Calls
4 calls:
13.0ms
(- (/ 1 a) (/ 1 b))
30.0ms
(/ (* PI (/ (- (/ 1 a) (/ 1 b)) (+ b a))) (* 2 (- b a)))
58.0ms
(/ (- (/ 1 a) (/ 1 b)) (+ b a))
71.0ms
(* PI (/ (- (/ 1 a) (/ 1 b)) (+ b a)))

series360.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- (/ 1 a) (/ 1 b))
122.0ms
(/ (* PI (/ (- (/ 1 a) (/ 1 b)) (+ b a))) (* 2 (- b a)))
83.0ms
(/ (- (/ 1 a) (/ 1 b)) (+ b a))
127.0ms
(* PI (/ (- (/ 1 a) (/ 1 b)) (+ b a)))

simplify1.1s

Counts
291 → 291
Iterations
IterNodes
done2003
22003
1926
0334

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite339.0ms

Algorithm
rewrite-expression-head
Rules
2650×times-frac
2154×*-un-lft-identity
2117×add-sqr-sqrt
615×difference-of-squares
566×add-cube-cbrt
515×distribute-lft-out--
416×associate-*r*
229×distribute-lft-out
215×div-inv
101×associate-/l*
32×add-cbrt-cube add-exp-log
28×associate-/r/
13×cbrt-undiv div-exp associate-*l*
12×flip3-+ flip-+
9×associate-/r*
6×pow1 prod-exp cbrt-unprod add-log-exp unswap-sqr
4×flip3-- insert-posit16 flip-- associate-/l/
3×div-sub
2×clear-num frac-2neg frac-sub
1×frac-times sub-neg diff-log pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 1124
Calls
4 calls:
26.0ms
(- (/ 1 a) (/ 1 b))
81.0ms
(/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (- b a))
105.0ms
(* (/ PI 2) (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (- b a)))
45.0ms
(/ (- (/ 1 a) (/ 1 b)) (+ b a))

series356.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(- (/ 1 a) (/ 1 b))
105.0ms
(/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (- b a))
129.0ms
(* (/ PI 2) (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (- b a)))
100.0ms
(/ (- (/ 1 a) (/ 1 b)) (+ b a))

simplify1.8s

Counts
1136 → 1136
Iterations
IterNodes
done2000
12000
0958

prune4.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done19
119
014

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.8s9546×body80valid