Details

Time bar (total: 29.9s)

sample285.0ms

Algorithm
intervals
Results
153.0ms530×body80valid

simplify945.0ms

Counts
1 → 1

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ 2 (* r r))
0.3b
(* (* w r) (* w r))
0.1b
(fma (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)) 4.5)
0.0b
(- (+ 3 (/ 2 (* r r))) (fma (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)) 4.5))

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
27×*-un-lft-identity
21×add-cbrt-cube add-exp-log
17×pow-prod-down
16×add-sqr-sqrt
14×add-cube-cbrt
12×prod-diff
9×prod-exp cbrt-unprod add-log-exp
5×distribute-lft-out
4×expm1-log1p-u fma-neg pow-sqr pow-prod-up insert-posit16 log1p-expm1-u
3×times-frac associate-/l*
2×cbrt-undiv pow-plus diff-log div-exp fma-udef distribute-lft-out--
1×pow2 clear-num associate-/r* sum-log sub-neg frac-2neg flip3-- swap-sqr associate-*r* associate-*l* associate--l+ *-commutative div-inv flip-- associate--r+ difference-of-squares
Counts
4 → 109
Calls
4 calls:
Slowest
116.0ms
(- (+ 3 (/ 2 (* r r))) (fma (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)) 4.5))
50.0ms
(* (* w r) (* w r))
8.0ms
(/ 2 (* r r))
0.0ms
(fma (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)) 4.5)

series445.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
196.0ms
(- (+ 3 (/ 2 (* r r))) (fma (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)) 4.5))
150.0ms
(fma (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)) 4.5)
50.0ms
(/ 2 (* r r))
49.0ms
(* (* w r) (* w r))

simplify3.4s

Counts
121 → 121

prune1.8s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* w r) (* w r))
0.2b
(/ (/ 2 r) r)
0.1b
(fma (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)) 4.5)
0.0b
(- (+ 3 (/ (/ 2 r) r)) (fma (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)) 4.5))

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
67×*-un-lft-identity
56×add-sqr-sqrt
54×add-cube-cbrt
43×pow1
21×add-cbrt-cube add-exp-log
17×pow-prod-down
13×associate-/l*
12×prod-diff
9×add-log-exp
8×prod-exp cbrt-unprod
5×div-inv distribute-lft-out
4×expm1-log1p-u fma-neg pow-sqr pow-prod-up insert-posit16 log1p-expm1-u
3×cbrt-undiv associate-/r* div-exp
2×pow-plus diff-log fma-udef distribute-lft-out--
1×pow2 clear-num sum-log sub-neg frac-2neg flip3-- swap-sqr associate-*r* associate-*l* associate--l+ *-commutative flip-- associate--r+ difference-of-squares associate-/l/
Counts
4 → 158
Calls
4 calls:
Slowest
113.0ms
(- (+ 3 (/ (/ 2 r) r)) (fma (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)) 4.5))
46.0ms
(* (* w r) (* w r))
15.0ms
(/ (/ 2 r) r)
0.0ms
(fma (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)) 4.5)

series370.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
152.0ms
(- (+ 3 (/ (/ 2 r) r)) (fma (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)) 4.5))
118.0ms
(fma (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)) 4.5)
52.0ms
(* (* w r) (* w r))
48.0ms
(/ (/ 2 r) r)

simplify899.0ms

Counts
170 → 170

prune2.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ (sqrt 2) (/ (* r r) (sqrt 2)))
0.3b
(* (* w r) (* w r))
0.3b
(/ (* r r) (sqrt 2))
0.1b
(fma (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)) 4.5)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
60×sqrt-prod
51×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
43×pow1
30×add-cbrt-cube add-exp-log
17×pow-prod-down
16×associate-/r*
10×prod-exp cbrt-unprod
9×div-inv
7×cbrt-undiv div-exp associate-/l*
4×expm1-log1p-u pow-sqr pow-prod-up insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg pow-plus
1×pow2 swap-sqr associate-*r* associate-*l* associate-/r/ *-commutative fma-udef
Counts
4 → 174
Calls
4 calls:
Slowest
25.0ms
(* (* w r) (* w r))
21.0ms
(/ (* r r) (sqrt 2))
15.0ms
(/ (sqrt 2) (/ (* r r) (sqrt 2)))
0.0ms
(fma (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)) 4.5)

series411.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
163.0ms
(fma (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)) 4.5)
117.0ms
(/ (* r r) (sqrt 2))
84.0ms
(/ (sqrt 2) (/ (* r r) (sqrt 2)))
47.0ms
(* (* w r) (* w r))

simplify837.0ms

Counts
186 → 186

prune3.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ (sqrt (sqrt 2)) (/ (* r r) (sqrt 2)))
0.3b
(* (* w r) (* w r))
0.3b
(/ (* r r) (sqrt 2))
0.2b
(* (sqrt (sqrt 2)) (/ (sqrt (sqrt 2)) (/ (* r r) (sqrt 2))))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
345×times-frac
327×sqrt-prod
219×add-sqr-sqrt
132×*-un-lft-identity add-cube-cbrt
96×associate-*r*
45×pow1
44×add-cbrt-cube add-exp-log
30×unswap-sqr
22×div-inv
18×pow-prod-down
16×associate-/r*
15×prod-exp cbrt-unprod
12×cbrt-undiv div-exp
10×associate-*l* associate-/l*
4×expm1-log1p-u pow-sqr pow-prod-up insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg pow-plus associate-/r/ *-commutative
1×pow2 swap-sqr associate-*r/
Counts
4 → 351
Calls
4 calls:
Slowest
42.0ms
(* (* w r) (* w r))
32.0ms
(* (sqrt (sqrt 2)) (/ (sqrt (sqrt 2)) (/ (* r r) (sqrt 2))))
20.0ms
(/ (sqrt (sqrt 2)) (/ (* r r) (sqrt 2)))
10.0ms
(/ (* r r) (sqrt 2))

series424.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
202.0ms
(/ (sqrt (sqrt 2)) (/ (* r r) (sqrt 2)))
108.0ms
(* (sqrt (sqrt 2)) (/ (sqrt (sqrt 2)) (/ (* r r) (sqrt 2))))
82.0ms
(/ (* r r) (sqrt 2))
32.0ms
(* (* w r) (* w r))

simplify1.3s

Counts
363 → 363

prune6.7s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes670.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch9.0ms

end0.0ms

sample5.1s

Algorithm
intervals
Results
4.5s17069×body80valid