Details

Time bar (total: 38.4s)

sample103.0ms

Algorithm
intervals
Results
83.0ms311×body80valid

simplify2.3s

Counts
1 → 1

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
952×times-frac
786×*-un-lft-identity
776×add-sqr-sqrt
258×add-cube-cbrt
228×distribute-lft-out--
197×difference-of-squares
84×associate-/l*
71×div-inv
67×distribute-lft-out
15×associate-/r* add-cbrt-cube add-exp-log
14×associate-/r/
7×flip3-- flip--
6×cbrt-undiv div-exp
4×pow1 clear-num frac-2neg insert-posit16 add-log-exp associate-/l/
3×div-sub
1×flip3-+ frac-sub flip-+
Counts
4 → 505
Calls
4 calls:
Slowest
73.0ms
(/ (/ (- (/ PI a) (/ PI b)) (- b a)) (+ a b))
43.0ms
(/ (- (/ PI a) (/ PI b)) (- b a))
10.0ms
(/ PI a)
7.0ms
(/ PI b)

series222.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
89.0ms
(/ (/ (- (/ PI a) (/ PI b)) (- b a)) (+ a b))
75.0ms
(/ (- (/ PI a) (/ PI b)) (- b a))
33.0ms
(/ PI a)
25.0ms
(/ PI b)

simplify745.0ms

Counts
517 → 517

prune5.6s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
952×times-frac
786×*-un-lft-identity
776×add-sqr-sqrt
258×add-cube-cbrt
228×distribute-lft-out--
197×difference-of-squares
84×associate-/l*
71×div-inv
67×distribute-lft-out
15×associate-/r* add-cbrt-cube add-exp-log
14×associate-/r/
7×flip3-- flip--
6×cbrt-undiv div-exp
4×pow1 clear-num frac-2neg insert-posit16 add-log-exp associate-/l/
3×div-sub
1×flip3-+ frac-sub flip-+
Counts
4 → 505
Calls
4 calls:
Slowest
73.0ms
(/ (/ (- (/ PI a) (/ PI b)) (- b a)) (+ a b))
62.0ms
(/ (- (/ PI a) (/ PI b)) (- b a))
4.0ms
(/ PI a)
4.0ms
(/ PI b)

series265.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
128.0ms
(/ (/ (- (/ PI a) (/ PI b)) (- b a)) (+ a b))
85.0ms
(/ (- (/ PI a) (/ PI b)) (- b a))
27.0ms
(/ PI a)
25.0ms
(/ PI b)

simplify797.0ms

Counts
517 → 517

prune5.8s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite267.0ms

Algorithm
rewrite-expression-head
Rules
2697×times-frac
2203×add-sqr-sqrt
2184×*-un-lft-identity
659×difference-of-squares
564×add-cube-cbrt
555×distribute-lft-out--
410×associate-*r*
220×div-inv
203×distribute-lft-out
120×associate-/l*
24×associate-/r/
20×add-cbrt-cube add-exp-log
12×flip3-- flip--
9×associate-/r*
7×cbrt-undiv div-exp
6×pow1 add-log-exp
4×insert-posit16 associate-/l/
3×div-sub associate-*l* prod-exp cbrt-unprod unswap-sqr
2×clear-num frac-2neg flip3-+ frac-sub flip-+
1×sub-neg diff-log pow-prod-down associate-*r/ *-commutative
Counts
4 → 1129
Calls
4 calls:
Slowest
80.0ms
(* PI (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ a b)))
63.0ms
(/ (- (/ 1 a) (/ 1 b)) (- b a))
51.0ms
(/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ a b))
11.0ms
(- (/ 1 a) (/ 1 b))

series270.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
113.0ms
(* PI (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ a b)))
75.0ms
(/ (- (/ 1 a) (/ 1 b)) (- b a))
60.0ms
(/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ a b))
22.0ms
(- (/ 1 a) (/ 1 b))

simplify2.5s

Counts
1141 → 1141

prune13.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
53×*-un-lft-identity
49×times-frac
34×add-cube-cbrt
32×add-exp-log
22×add-cbrt-cube
21×associate-*r*
12×associate-*l*
11×div-exp
10×associate-/r*
8×prod-exp distribute-lft-out-- associate-/l/
7×cbrt-undiv associate-/l* difference-of-squares
6×frac-times pow1 associate-*l/ div-inv
5×flip3-- flip--
4×associate-/r/ frac-sub cbrt-unprod insert-posit16 add-log-exp
3×clear-num frac-2neg unswap-sqr
2×rec-exp 1-exp associate-*r/ un-div-inv distribute-lft-out
1×flip3-+ pow-prod-down *-commutative flip-+
Counts
4 → 154
Calls
4 calls:
Slowest
59.0ms
(* (- (/ PI a) (/ PI b)) (/ 1 (- b a)))
45.0ms
(/ (* (- (/ PI a) (/ PI b)) (/ 1 (- b a))) (+ a b))
7.0ms
(/ PI a)
5.0ms
(/ PI b)

series249.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
102.0ms
(/ (* (- (/ PI a) (/ PI b)) (/ 1 (- b a))) (+ a b))
69.0ms
(* (- (/ PI a) (/ PI b)) (/ 1 (- b a)))
40.0ms
(/ PI a)
37.0ms
(/ PI b)

simplify803.0ms

Counts
166 → 166

prune1.6s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes203.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch2.0ms

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.8s9606×body80valid