Details

Time bar (total: 22.4s)

sample65.0ms

Algorithm
intervals
Results
50.0ms305×body80valid

simplify2.5s

Counts
1 → 1
Iterations
IterNodes
54631
41378
3361
295
133
015

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
352×*-un-lft-identity
333×times-frac
160×add-sqr-sqrt
110×add-cube-cbrt
80×distribute-lft-out
67×associate-/l*
60×distribute-rgt-neg-in
25×distribute-lft-out-- difference-of-squares
22×add-cbrt-cube add-exp-log
12×distribute-lft-neg-in associate-/r* div-sub
9×cbrt-undiv div-exp
8×associate-/r/
6×div-inv
5×distribute-frac-neg
4×expm1-log1p-u pow1 clear-num neg-mul-1 frac-2neg insert-posit16 log1p-expm1-u add-log-exp associate-/l/
3×neg-sub0 flip3-- flip--
2×associate-+r- flip3-+ unsub-neg associate-*l/ prod-exp cbrt-unprod flip-+
1×frac-add
Counts
4 → 286
Calls
4 calls:
53.0ms
(/ (/ (+ (/ PI a) (/ (- PI) b)) (- b a)) (* (+ a b) 2))
42.0ms
(/ (+ (/ PI a) (/ (- PI) b)) (- b a))
4.0ms
(/ PI a)
6.0ms
(/ (- PI) b)

series266.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(/ (/ (+ (/ PI a) (/ (- PI) b)) (- b a)) (* (+ a b) 2))
81.0ms
(/ (+ (/ PI a) (/ (- PI) b)) (- b a))
40.0ms
(/ PI a)
38.0ms
(/ (- PI) b)

simplify627.0ms

Counts
298 → 298
Iterations
IterNodes
22362
1854
0377

prune3.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
64×add-sqr-sqrt
61×times-frac
46×add-cube-cbrt
22×add-cbrt-cube add-exp-log
21×associate-*r*
18×associate-*l*
10×associate-/r*
9×associate-/l*
7×cbrt-undiv div-exp distribute-lft-out
6×pow1 associate-/r/
5×div-inv
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×clear-num frac-2neg distribute-lft-out-- difference-of-squares
2×flip3-+ flip-+
1×frac-times flip3-- pow-prod-down associate-*l/ associate-*r/ *-commutative flip--
Counts
4 → 162
Calls
4 calls:
50.0ms
(* (/ (fma -1 (/ PI b) (/ PI a)) (+ a b)) (/ 1/2 (- b a)))
16.0ms
(/ (fma -1 (/ PI b) (/ PI a)) (+ a b))
8.0ms
(/ PI a)
8.0ms
(/ PI b)

series404.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(* (/ (fma -1 (/ PI b) (/ PI a)) (+ a b)) (/ 1/2 (- b a)))
146.0ms
(/ (fma -1 (/ PI b) (/ PI a)) (+ a b))
52.0ms
(/ PI a)
49.0ms
(/ PI b)

simplify2.9s

Counts
174 → 174
Iterations
IterNodes
36552
21935
1627
0252

prune1.9s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
35×add-sqr-sqrt times-frac
31×add-cube-cbrt
19×add-cbrt-cube add-exp-log
15×associate-/r*
10×associate-/l*
7×cbrt-undiv div-exp
4×expm1-log1p-u pow1 clear-num frac-2neg associate-/r/ insert-posit16 log1p-expm1-u div-inv distribute-lft-out add-log-exp
2×prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
1×flip3-+ flip3-- associate-*l/ flip-+ flip-- associate-/l/
Counts
4 → 129
Calls
4 calls:
18.0ms
(/ (* (/ (fma -1 (/ PI b) (/ PI a)) (+ a b)) 1/2) (- b a))
10.0ms
(/ (fma -1 (/ PI b) (/ PI a)) (+ a b))
7.0ms
(/ PI a)
7.0ms
(/ PI b)

series346.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(/ (* (/ (fma -1 (/ PI b) (/ PI a)) (+ a b)) 1/2) (- b a))
143.0ms
(/ (fma -1 (/ PI b) (/ PI a)) (+ a b))
34.0ms
(/ PI a)
53.0ms
(/ PI b)

simplify2.5s

Counts
141 → 141
Iterations
IterNodes
35023
21337
1461
0213

prune1.6s

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
(* (/ (fma -1 (/ PI b) (* PI (/ 1 a))) (+ a b)) (/ 1/2 (- b a)))
0.2b
(/ (fma -1 (/ PI b) (* PI (/ 1 a))) (+ a b))
0.3b
(/ PI b)
0.4b
(* PI (/ 1 a))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
71×add-sqr-sqrt
67×*-un-lft-identity
63×times-frac
46×add-cube-cbrt
34×associate-*r*
29×add-exp-log
25×add-cbrt-cube
21×associate-*l*
8×pow1 div-exp prod-exp
7×cbrt-undiv associate-/r* distribute-lft-out unswap-sqr
6×associate-/r/ cbrt-unprod associate-/l*
5×div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×distribute-lft-out-- difference-of-squares
2×clear-num frac-2neg flip3-+ pow-prod-down associate-*r/ *-commutative flip-+
1×frac-times rec-exp flip3-- 1-exp associate-*l/ un-div-inv flip--
Counts
4 → 171
Calls
4 calls:
45.0ms
(* (/ (fma -1 (/ PI b) (* PI (/ 1 a))) (+ a b)) (/ 1/2 (- b a)))
9.0ms
(/ (fma -1 (/ PI b) (* PI (/ 1 a))) (+ a b))
4.0ms
(/ PI b)
10.0ms
(* PI (/ 1 a))

series330.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(* (/ (fma -1 (/ PI b) (* PI (/ 1 a))) (+ a b)) (/ 1/2 (- b a)))
133.0ms
(/ (fma -1 (/ PI b) (* PI (/ 1 a))) (+ a b))
37.0ms
(/ PI b)
27.0ms
(* PI (/ 1 a))

simplify689.0ms

Counts
183 → 183
Iterations
IterNodes
22149
1718
0280

prune2.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes121.0ms

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
215
115
013

end0.0ms

sample2.5s

Algorithm
intervals
Results
2.3s9633×body80valid