Details

Time bar (total: 17.2s)

sample62.0ms

Algorithm
intervals
Results
49.0ms314×body80valid

simplify2.5s

Counts
1 → 1

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.5b

localize26.0ms

Local error

Found 4 expressions with local error:

8.4b
(/ (- (/ PI a) (/ PI b)) (/ (- (* b b) (* a a)) 1/2))
3.9b
(- (* b b) (* a a))
0.3b
(/ PI b)
0.2b
(/ PI a)

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
536×times-frac
379×add-sqr-sqrt
311×*-un-lft-identity
175×add-cube-cbrt
108×difference-of-squares
85×distribute-lft-out--
50×div-inv
22×associate-/r*
18×associate-/l*
13×add-cbrt-cube add-exp-log
6×add-log-exp
5×cbrt-undiv div-exp
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
3×clear-num frac-2neg associate-/l/
2×flip3-- flip--
1×sub-neg fma-neg diff-log div-sub prod-diff associate-/r/ frac-sub
Counts
4 → 320
Calls
4 calls:
Slowest
59.0ms
(/ (- (/ PI a) (/ PI b)) (/ (- (* b b) (* a a)) 1/2))
16.0ms
(- (* b b) (* a a))
8.0ms
(/ PI b)
7.0ms
(/ PI a)

series254.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
142.0ms
(/ (- (/ PI a) (/ PI b)) (/ (- (* b b) (* a a)) 1/2))
47.0ms
(- (* b b) (* a a))
37.0ms
(/ PI b)
28.0ms
(/ PI a)

simplify735.0ms

Counts
332 → 332

prune3.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.0b
(sqrt PI)
1.0b
(sqrt PI)
0.4b
(* (/ (sqrt PI) (+ a b)) (sqrt 1/2))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
36×*-un-lft-identity
30×associate-*l*
29×sqrt-prod
28×times-frac
24×add-cube-cbrt
9×pow1 add-cbrt-cube add-exp-log
6×associate-*r* distribute-lft-out unswap-sqr
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
2×prod-exp associate-/r/ cbrt-unprod
1×cbrt-undiv flip3-+ div-exp pow-prod-down associate-*l/ *-commutative flip-+ div-inv
Counts
4 → 107
Calls
4 calls:
Slowest
49.0ms
(* (/ (sqrt PI) (+ a b)) (sqrt 1/2))
2.0ms
(sqrt PI)
2.0ms
(sqrt PI)
2.0ms
(sqrt PI)

series214.0ms

Counts
4 → 6
Calls
4 calls:
Slowest
213.0ms
(* (/ (sqrt PI) (+ a b)) (sqrt 1/2))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.0s

Counts
113 → 113

prune1.6s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.0b
(sqrt PI)
1.0b
(* (cbrt PI) (cbrt PI))
1.0b
(cbrt PI)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
19×cbrt-prod
15×*-un-lft-identity add-cube-cbrt
13×pow1
7×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log sqrt-prod
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 89
Calls
4 calls:
Slowest
14.0ms
(* (cbrt PI) (cbrt PI))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)
1.0ms
(cbrt PI)

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(sqrt PI)
0.0ms
(* (cbrt PI) (cbrt PI))
0.0ms
(sqrt PI)
0.0ms
(cbrt PI)

simplify1.4s

Counts
93 → 93

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt PI)
1.0b
(cbrt PI)
1.0b
(cbrt PI)
1.0b
(cbrt PI)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 56
Calls
4 calls:
Slowest
1.0ms
(cbrt PI)
1.0ms
(cbrt PI)
1.0ms
(cbrt PI)
1.0ms
(cbrt PI)

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(cbrt PI)
0.0ms
(cbrt PI)
0.0ms
(cbrt PI)
0.0ms
(cbrt PI)

simplify848.0ms

Counts
60 → 60

prune760.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.3b remaining)

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

bsearch5.0ms

end0.0ms

sample2.4s

Algorithm
intervals
Results
2.1s9570×body80valid