Details

Time bar (total: 2.0m)

sample60.0ms

Algorithm
intervals
Results
43.0ms306×body80valid

simplify2.1s

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (/ PI 2) a) (/ (/ PI 2) b))
0.2b
(/ (/ PI 2) b)
0.2b
(/ (/ PI 2) a)
14.2b
(/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))

rewrite143.0ms

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:
33.0ms
(- (/ (/ PI 2) a) (/ (/ PI 2) b))
9.0ms
(/ (/ PI 2) b)
9.0ms
(/ (/ PI 2) a)
86.0ms
(/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))

series350.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(- (/ (/ PI 2) a) (/ (/ PI 2) b))
47.0ms
(/ (/ PI 2) b)
61.0ms
(/ (/ PI 2) a)
158.0ms
(/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))

simplify1.2s

Counts
274 → 274
Iterations
IterNodes
23143
11073
0438

prune2.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite297.0ms

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:
77.0ms
(/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b)) (- b a))
10.0ms
(/ (/ PI 2) b)
15.0ms
(/ (/ PI 2) a)
113.0ms
(/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b))

series365.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b)) (- b a))
45.0ms
(/ (/ PI 2) b)
45.0ms
(/ (/ PI 2) a)
128.0ms
(/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b))

simplify1.4s

Counts
1020 → 1020
Iterations
IterNodes
13019
01253

prune8.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
949×times-frac
756×add-sqr-sqrt
442×*-un-lft-identity
306×add-cube-cbrt
105×difference-of-squares
64×associate-/r*
46×associate-/l*
37×add-exp-log
33×div-inv
28×distribute-lft-out
25×add-cbrt-cube
22×div-exp
15×distribute-lft-out--
13×cbrt-undiv
8×associate-/r/
5×pow1
4×clear-num frac-2neg insert-posit16 add-log-exp associate-/l/
3×rec-exp 1-exp
1×flip3-+ flip3-- div-sub frac-sub flip-+ pow-flip flip-- inv-pow
Counts
4 → 505
Calls
4 calls:
15.0ms
(/ (/ PI 2) b)
134.0ms
(/ (- (/ 1 (/ a (/ PI 2))) (/ (/ PI 2) b)) (+ a b))
11.0ms
(/ a (/ PI 2))
17.0ms
(/ 1 (/ a (/ PI 2)))

series420.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(/ (/ PI 2) b)
186.0ms
(/ (- (/ 1 (/ a (/ PI 2))) (/ (/ PI 2) b)) (+ a b))
73.0ms
(/ a (/ PI 2))
80.0ms
(/ 1 (/ a (/ PI 2)))

simplify13.5s

Counts
517 → 517
Iterations
IterNodes
24907
11939
0799

prune4.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1/2 a) (/ 1/2 b))
0.2b
(/ (/ (/ PI 1) (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b)))) (- b a))
0.3b
(/ (+ a b) (- (/ 1/2 a) (/ 1/2 b)))
0.5b
(/ (/ PI 1) (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b))))

rewrite531.0ms

Algorithm
rewrite-expression-head
Rules
20283×times-frac
12431×*-un-lft-identity
11693×add-sqr-sqrt
5763×add-cube-cbrt
2591×distribute-lft-out--
2217×difference-of-squares
1235×div-inv
1117×distribute-lft-out
737×associate-/l*
288×associate-/r/
95×flip3-- flip--
94×frac-sub
72×associate-/r*
48×add-exp-log
36×add-cbrt-cube
34×div-exp
22×cbrt-undiv
6×add-log-exp
4×pow1 1-exp insert-posit16 associate-/l/
3×clear-num frac-2neg
1×sub-neg flip3-+ diff-log flip-+
Counts
4 → 5262
Calls
4 calls:
12.0ms
(- (/ 1/2 a) (/ 1/2 b))
56.0ms
(/ (/ (/ PI 1) (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b)))) (- b a))
39.0ms
(/ (+ a b) (- (/ 1/2 a) (/ 1/2 b)))
44.0ms
(/ (/ PI 1) (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b))))

series392.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- (/ 1/2 a) (/ 1/2 b))
137.0ms
(/ (/ (/ PI 1) (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b)))) (- b a))
107.0ms
(/ (+ a b) (- (/ 1/2 a) (/ 1/2 b)))
112.0ms
(/ (/ PI 1) (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b))))

simplify42.9s

Counts
5274 → 5274
Iterations
IterNodes
113747
05535

prune37.8s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes96.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
216
116
014

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.7s9641×body80valid