Details

Time bar (total: 6.5s)

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify31.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01417
12817
24514
35914
46514
done6514

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.0b
(+ 2.30753 (* x 0.27061))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
15.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
65×add-sqr-sqrt
60×*-un-lft-identity
58×add-cube-cbrt
46×times-frac
45×prod-diff
15×fma-neg
10×associate-/r/
add-exp-log flip3-+ add-cbrt-cube flip-+ add-log-exp
pow1
div-inv
expm1-log1p-u log1p-expm1-u
fma-def associate-*r* associate-*l* associate-/r* associate-/l*
associate-*r/ associate-/l/ difference-of-squares
cbrt-undiv +-commutative distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod distribute-lft-out-- unswap-sqr
Counts
4 → 150
Calls
4 calls:
45.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
2.0ms
(+ 2.30753 (* x 0.27061))
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
10.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series252.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
33.0ms
(+ 2.30753 (* x 0.27061))
67.0ms
(* x (+ 0.99229 (* x 0.04481)))
62.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify899.0ms

Counts
162 → 162
Iterations

Useful iterations: done (893.0ms)

IterNodesCost
02404158
16003458
217582842
done50012789

prune411.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
0.0b
(fma (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- x))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.5b
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
10×add-exp-log
times-frac
add-cbrt-cube
pow1
add-log-exp
expm1-log1p-u log1p-expm1-u
fma-def flip3-+ associate-*r* associate-*l* associate-/r* flip-+ associate-/l*
associate-*r/ div-exp associate-/r/
cbrt-undiv +-commutative distribute-rgt-in rec-exp pow-flip frac-2neg distribute-lft-in 1-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod fma-udef div-inv inv-pow unswap-sqr
Counts
4 → 85
Calls
4 calls:
2.0ms
(+ 2.30753 (* x 0.27061))
0.0ms
(fma (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- x))
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
5.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series207.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ 2.30753 (* x 0.27061))
62.0ms
(fma (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- x))
70.0ms
(* x (+ 0.99229 (* x 0.04481)))
42.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify2.3s

Counts
97 → 97
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
01791360
14341254
21261985
34241975
done5001975

prune271.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.2b
(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
2.5b
(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))))
15.8b
(fma (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))))) (- 1.0 (* x (+ 0.99229 (* x 0.04481)))) (- x))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
20×add-exp-log add-cbrt-cube
18×pow-prod-down
17×add-sqr-sqrt
16×associate-*r/
15×add-cube-cbrt *-un-lft-identity
12×times-frac
prod-exp cbrt-unprod
flip3-+ flip-+
distribute-rgt-in distribute-lft-in
expm1-log1p-u frac-times associate-*r* associate-*l* associate-/r* pow-sqr pow-prod-up log1p-expm1-u add-log-exp difference-of-squares
associate-/l*
pow-plus associate-*l/ associate-/r/ *-commutative associate-/l/
cbrt-undiv pow2 flip3-- frac-2neg swap-sqr div-exp clear-num flip-- fma-udef div-inv unswap-sqr
Counts
4 → 119
Calls
4 calls:
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
24.0ms
(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
11.0ms
(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))))
0.0ms
(fma (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))))) (- 1.0 (* x (+ 0.99229 (* x 0.04481)))) (- x))

series280.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* x (+ 0.99229 (* x 0.04481)))
39.0ms
(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
78.0ms
(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))))
93.0ms
(fma (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))))) (- 1.0 (* x (+ 0.99229 (* x 0.04481)))) (- x))

simplify906.0ms

Counts
131 → 131
Iterations

Useful iterations: 2 (261.0ms)

IterNodesCost
02313240
16112976
222472349
done50002349

prune409.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01619
12419
done2419

end0.0ms

sample343.0ms

Algorithm
intervals
Results
249.0ms8000×body80valid