Details

Time bar (total: 42.4s)

sample81.0ms

Algorithm
intervals
Results
15.0ms204×body80valid
12.0ms20×body1280valid
7.0ms24×body640valid
6.0ms256×pre80true
1.0ms4×body160valid
1.0ms4×body320valid

simplify4.7s

Counts
1 → 1
Iterations
IterNodes
done5000
42325
3469
2101
131
015

prune44.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 19.5b

localize55.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (fma 2.0 i (+ beta alpha)) (+ 2.0 (fma 2.0 i (+ beta alpha))))
12.5b
(fma (/ (- beta alpha) (* (fma 2.0 i (+ beta alpha)) (+ 2.0 (fma 2.0 i (+ beta alpha))))) (+ beta alpha) 1.0)
19.6b
(/ (- beta alpha) (* (fma 2.0 i (+ beta alpha)) (+ 2.0 (fma 2.0 i (+ beta alpha)))))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity
10×add-cbrt-cube add-exp-log
7×add-cube-cbrt
5×pow1 times-frac associate-/l*
4×associate-*r* associate-*r/
3×expm1-log1p-u associate-*l* insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares associate-/l/
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in flip3-- div-sub pow-prod-down *-commutative fma-udef div-inv flip-- distribute-lft-out unswap-sqr
Counts
3 → 70
Calls
3 calls:
41.0ms
(* (fma 2.0 i (+ beta alpha)) (+ 2.0 (fma 2.0 i (+ beta alpha))))
1.0ms
(fma (/ (- beta alpha) (* (fma 2.0 i (+ beta alpha)) (+ 2.0 (fma 2.0 i (+ beta alpha))))) (+ beta alpha) 1.0)
52.0ms
(/ (- beta alpha) (* (fma 2.0 i (+ beta alpha)) (+ 2.0 (fma 2.0 i (+ beta alpha)))))

series1.0s

Counts
3 → 9
Calls
3 calls:
230.0ms
(* (fma 2.0 i (+ beta alpha)) (+ 2.0 (fma 2.0 i (+ beta alpha))))
414.0ms
(fma (/ (- beta alpha) (* (fma 2.0 i (+ beta alpha)) (+ 2.0 (fma 2.0 i (+ beta alpha))))) (+ beta alpha) 1.0)
359.0ms
(/ (- beta alpha) (* (fma 2.0 i (+ beta alpha)) (+ 2.0 (fma 2.0 i (+ beta alpha)))))

simplify3.3s

Counts
79 → 79
Iterations
IterNodes
done5003
21561
1378
0146

prune1.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 12.3b

localize66.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- beta alpha) (fma 2.0 i (+ beta alpha)))
0.1b
(/ (/ (- beta alpha) (fma 2.0 i (+ beta alpha))) (+ 2.0 (fma 2.0 i (+ beta alpha))))
12.5b
(fma (/ (/ (- beta alpha) (fma 2.0 i (+ beta alpha))) (+ 2.0 (fma 2.0 i (+ beta alpha)))) (+ beta alpha) 1.0)

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
166×times-frac
156×*-un-lft-identity
116×add-sqr-sqrt
78×add-cube-cbrt
24×associate-/l*
20×distribute-lft-out
19×distribute-lft-out-- difference-of-squares
10×add-cbrt-cube add-exp-log
7×associate-/r* div-inv
4×cbrt-undiv div-exp
3×expm1-log1p-u pow1 div-sub insert-posit16 log1p-expm1-u add-log-exp associate-/l/
2×clear-num frac-2neg associate-/r/
1×flip3-+ flip3-- flip-+ fma-udef flip--
Counts
3 → 172
Calls
3 calls:
25.0ms
(/ (- beta alpha) (fma 2.0 i (+ beta alpha)))
73.0ms
(/ (/ (- beta alpha) (fma 2.0 i (+ beta alpha))) (+ 2.0 (fma 2.0 i (+ beta alpha))))
2.0ms
(fma (/ (/ (- beta alpha) (fma 2.0 i (+ beta alpha))) (+ 2.0 (fma 2.0 i (+ beta alpha)))) (+ beta alpha) 1.0)

series924.0ms

Counts
3 → 9
Calls
3 calls:
158.0ms
(/ (- beta alpha) (fma 2.0 i (+ beta alpha)))
328.0ms
(/ (/ (- beta alpha) (fma 2.0 i (+ beta alpha))) (+ 2.0 (fma 2.0 i (+ beta alpha))))
439.0ms
(fma (/ (/ (- beta alpha) (fma 2.0 i (+ beta alpha))) (+ 2.0 (fma 2.0 i (+ beta alpha)))) (+ beta alpha) 1.0)

simplify3.3s

Counts
181 → 181
Iterations
IterNodes
done5002
21760
1599
0253

prune2.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 12.1b

localize71.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- beta alpha) (fma 2.0 i (+ beta alpha)))
0.1b
(/ (/ (- beta alpha) (fma 2.0 i (+ beta alpha))) (+ 2.0 (fma 2.0 i (+ beta alpha))))
3.3b
(* (/ (/ (- beta alpha) (fma 2.0 i (+ beta alpha))) (+ 2.0 (fma 2.0 i (+ beta alpha)))) (+ beta alpha))
4.1b
(+ (* (/ (/ (- beta alpha) (fma 2.0 i (+ beta alpha))) (+ 2.0 (fma 2.0 i (+ beta alpha)))) (+ beta alpha)) 1.0)

rewrite409.0ms

Algorithm
rewrite-expression-head
Rules
305×times-frac
278×*-un-lft-identity
207×add-sqr-sqrt
136×add-cube-cbrt
82×associate-*l*
40×distribute-lft-out
31×distribute-lft-out-- difference-of-squares
24×associate-/l*
20×add-cbrt-cube add-exp-log
12×div-inv
7×cbrt-undiv associate-/r* div-exp
6×pow1 add-log-exp
5×flip3-+ flip-+
4×expm1-log1p-u associate-*r* associate-/r/ insert-posit16 log1p-expm1-u
3×div-sub prod-exp cbrt-unprod unswap-sqr associate-/l/
2×distribute-rgt-in frac-times associate-+l+ clear-num frac-2neg distribute-lft-in associate-*r/
1×+-commutative sum-log fma-def flip3-- pow-prod-down associate-*l/ *-commutative flip--
Counts
4 → 292
Calls
4 calls:
27.0ms
(/ (- beta alpha) (fma 2.0 i (+ beta alpha)))
71.0ms
(/ (/ (- beta alpha) (fma 2.0 i (+ beta alpha))) (+ 2.0 (fma 2.0 i (+ beta alpha))))
193.0ms
(* (/ (/ (- beta alpha) (fma 2.0 i (+ beta alpha))) (+ 2.0 (fma 2.0 i (+ beta alpha)))) (+ beta alpha))
59.0ms
(+ (* (/ (/ (- beta alpha) (fma 2.0 i (+ beta alpha))) (+ 2.0 (fma 2.0 i (+ beta alpha)))) (+ beta alpha)) 1.0)

series1.7s

Counts
4 → 12
Calls
4 calls:
159.0ms
(/ (- beta alpha) (fma 2.0 i (+ beta alpha)))
392.0ms
(/ (/ (- beta alpha) (fma 2.0 i (+ beta alpha))) (+ 2.0 (fma 2.0 i (+ beta alpha))))
618.0ms
(* (/ (/ (- beta alpha) (fma 2.0 i (+ beta alpha))) (+ 2.0 (fma 2.0 i (+ beta alpha)))) (+ beta alpha))
543.0ms
(+ (* (/ (/ (- beta alpha) (fma 2.0 i (+ beta alpha))) (+ 2.0 (fma 2.0 i (+ beta alpha)))) (+ beta alpha)) 1.0)

simplify6.5s

Counts
304 → 304
Iterations
IterNodes
done5001
24334
11313
0367

prune3.9s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 12.1b

localize68.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- beta alpha) (+ 2.0 (fma 2.0 i (+ alpha beta))))
0.1b
(/ (/ (- beta alpha) (+ 2.0 (fma 2.0 i (+ alpha beta)))) (fma 2.0 i (+ alpha beta)))
4.1b
(log (exp (fma (/ (/ (- beta alpha) (+ 2.0 (fma 2.0 i (+ alpha beta)))) (fma 2.0 i (+ alpha beta))) (+ alpha beta) 1.0)))
12.5b
(fma (/ (/ (- beta alpha) (+ 2.0 (fma 2.0 i (+ alpha beta)))) (fma 2.0 i (+ alpha beta))) (+ alpha beta) 1.0)

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
178×*-un-lft-identity times-frac
126×add-sqr-sqrt
84×add-cube-cbrt
31×associate-/l*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
11×add-cbrt-cube add-exp-log
10×associate-/r/
7×associate-/r*
6×div-inv
5×pow1 flip3-+ flip-+
4×expm1-log1p-u cbrt-undiv log-prod div-exp log-pow insert-posit16 log1p-expm1-u add-log-exp
3×exp-prod div-sub associate-/l/
2×clear-num frac-2neg fma-udef
1×flip3-- rem-log-exp exp-sum flip--
Counts
4 → 205
Calls
4 calls:
35.0ms
(/ (- beta alpha) (+ 2.0 (fma 2.0 i (+ alpha beta))))
72.0ms
(/ (/ (- beta alpha) (+ 2.0 (fma 2.0 i (+ alpha beta)))) (fma 2.0 i (+ alpha beta)))
10.0ms
(log (exp (fma (/ (/ (- beta alpha) (+ 2.0 (fma 2.0 i (+ alpha beta)))) (fma 2.0 i (+ alpha beta))) (+ alpha beta) 1.0)))
1.0ms
(fma (/ (/ (- beta alpha) (+ 2.0 (fma 2.0 i (+ alpha beta)))) (fma 2.0 i (+ alpha beta))) (+ alpha beta) 1.0)

series1.3s

Counts
4 → 12
Calls
4 calls:
166.0ms
(/ (- beta alpha) (+ 2.0 (fma 2.0 i (+ alpha beta))))
342.0ms
(/ (/ (- beta alpha) (+ 2.0 (fma 2.0 i (+ alpha beta)))) (fma 2.0 i (+ alpha beta)))
400.0ms
(log (exp (fma (/ (/ (- beta alpha) (+ 2.0 (fma 2.0 i (+ alpha beta)))) (fma 2.0 i (+ alpha beta))) (+ alpha beta) 1.0)))
415.0ms
(fma (/ (/ (- beta alpha) (+ 2.0 (fma 2.0 i (+ alpha beta)))) (fma 2.0 i (+ alpha beta))) (+ alpha beta) 1.0)

simplify4.6s

Counts
217 → 217
Iterations
IterNodes
done5012
22137
1705
0305

prune2.9s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 12.1b

regimes1.3s

Accuracy

0% (0.3b remaining)

Error of 12.1b against oracle of 11.8b and baseline of 12.1b

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done18
118
014

end0.0ms

sample2.1s

Algorithm
intervals
Results
712.0ms6395×body80valid
426.0ms8000×pre80true
230.0ms547×body1280valid
167.0ms527×body640valid
84.0ms353×body320valid
33.0ms178×body160valid