Details

Time bar (total: 1.1m)

sample89.0ms

Algorithm
intervals
Results
71.0ms314×body80valid

simplify1.2s

Counts
1 → 1
Iterations
IterNodes
done2008
52008
41503
3361
295
133
015

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.5b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ PI 2) (+ a b))
0.2b
(/ (/ PI 2) (+ a b))
5.3b
(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)
5.3b
(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)

rewrite276.0ms

Algorithm
rewrite-expression-head
Rules
7810×times-frac
4872×*-un-lft-identity
3776×add-sqr-sqrt
2848×add-cube-cbrt
618×associate-/l*
548×distribute-lft-out
464×distribute-lft-out-- difference-of-squares
222×div-inv
100×associate-/r/
42×flip3-+ add-cbrt-cube add-exp-log flip-+
26×cbrt-undiv div-exp
14×associate-/r*
8×flip3-- flip--
4×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp associate-/l/
Counts
4 → 2596
Calls
4 calls:
20.0ms
(/ (/ PI 2) (+ a b))
22.0ms
(/ (/ PI 2) (+ a b))
62.0ms
(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)
48.0ms
(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)

series391.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(/ (/ PI 2) (+ a b))
81.0ms
(/ (/ PI 2) (+ a b))
121.0ms
(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)
113.0ms
(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)

simplify3.1s

Counts
2608 → 2608
Iterations
IterNodes
done2863
02863

prune13.0s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (/ PI 2) (+ a b)) (* b (- b a)))
0.2b
(/ (/ PI 2) (+ a b))
0.2b
(/ (/ PI 2) (+ a b))
5.3b
(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
4236×times-frac
2651×*-un-lft-identity
2023×add-sqr-sqrt
1559×add-cube-cbrt
380×associate-/l*
314×distribute-lft-out
232×distribute-lft-out-- difference-of-squares
128×div-inv
58×associate-/r/
49×add-cbrt-cube add-exp-log
28×cbrt-undiv div-exp
24×flip3-+ flip-+
12×associate-/r*
5×flip3-- flip--
4×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp associate-/l/
3×prod-exp cbrt-unprod
2×associate-*r/
Counts
4 → 1532
Calls
4 calls:
22.0ms
(/ (/ (/ PI 2) (+ a b)) (* b (- b a)))
11.0ms
(/ (/ PI 2) (+ a b))
16.0ms
(/ (/ PI 2) (+ a b))
30.0ms
(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)

series300.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(/ (/ (/ PI 2) (+ a b)) (* b (- b a)))
59.0ms
(/ (/ PI 2) (+ a b))
59.0ms
(/ (/ PI 2) (+ a b))
94.0ms
(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)

simplify1.8s

Counts
1544 → 1544
Iterations
IterNodes
done2001
12001
01919

prune7.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
540×times-frac
378×*-un-lft-identity
341×add-sqr-sqrt
251×add-cube-cbrt
83×add-exp-log
67×associate-*r*
58×associate-*l*
55×add-cbrt-cube
47×associate-/l*
45×div-exp
41×distribute-lft-out
27×cbrt-undiv
26×div-inv
21×distribute-lft-out-- difference-of-squares
20×associate-/r/
15×prod-exp
12×unswap-sqr
11×associate-/r*
9×cbrt-unprod
7×flip3-- flip--
6×pow1
4×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg flip3-+ flip-+ associate-/l/
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 461
Calls
4 calls:
69.0ms
(* (/ (/ PI 2) (+ a b)) (/ (/ 1 (- b a)) a))
21.0ms
(/ (/ 1 (- b a)) a)
11.0ms
(/ (/ PI 2) (+ a b))
14.0ms
(/ (/ PI 2) (+ a b))

series365.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(* (/ (/ PI 2) (+ a b)) (/ (/ 1 (- b a)) a))
62.0ms
(/ (/ 1 (- b a)) a)
58.0ms
(/ (/ PI 2) (+ a b))
97.0ms
(/ (/ PI 2) (+ a b))

simplify1.3s

Counts
473 → 473
Iterations
IterNodes
done2002
22002
11538
0505

prune2.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite448.0ms

Algorithm
rewrite-expression-head
Rules
16705×times-frac
8885×*-un-lft-identity
7035×add-sqr-sqrt
5949×add-cube-cbrt
925×distribute-lft-out
599×div-inv
565×associate-/r/
543×distribute-lft-out-- difference-of-squares
181×flip3-- flip--
97×associate-/r*
87×associate-/l*
83×add-exp-log
71×flip3-+ flip-+
60×div-exp
55×add-cbrt-cube
36×cbrt-undiv
4×expm1-log1p-u pow1 rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp
3×associate-/l/
Counts
4 → 4394
Calls
4 calls:
35.0ms
(/ (/ (/ PI 2) (+ a b)) (/ a (/ 1 (- b a))))
10.0ms
(/ a (/ 1 (- b a)))
15.0ms
(/ (/ PI 2) (+ a b))
11.0ms
(/ (/ PI 2) (+ a b))

series766.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(/ (/ (/ PI 2) (+ a b)) (/ a (/ 1 (- b a))))
521.0ms
(/ a (/ 1 (- b a)))
76.0ms
(/ (/ PI 2) (+ a b))
81.0ms
(/ (/ PI 2) (+ a b))

simplify4.5s

Counts
4406 → 4406
Iterations
IterNodes
done5128
05128

prune22.8s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

regimes250.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done19
119
015

end0.0ms

sample2.6s

Algorithm
intervals
Results
2.4s9619×body80valid