Details

Time bar (total: 10.9s)

sample24.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
01619
13119
26016
39516
412616
514016
615616
720116
829716
935916
1044216
1164316
1299816
13455916
done500016

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)
0.0b
(* (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x) 0.70711)
0.1b
(fma (fma 0.04481 x 0.99229) x 1.0)
14.6b
(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
59×*-un-lft-identity
55×add-cube-cbrt
47×times-frac
39×prod-diff
13×fma-neg
add-exp-log add-cbrt-cube
pow1 associate-*l* add-log-exp
div-inv
expm1-log1p-u log1p-expm1-u difference-of-squares
associate-*r* associate-/r* associate-/l*
flip3-- associate-*l/ flip-- distribute-lft-out--
cbrt-undiv sub-neg frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 133
Calls
4 calls:
28.0ms
(- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)
79.0ms
(* (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x) 0.70711)
0.0ms
(fma (fma 0.04481 x 0.99229) x 1.0)
6.0ms
(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

series288.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)
88.0ms
(* (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x) 0.70711)
34.0ms
(fma (fma 0.04481 x 0.99229) x 1.0)
90.0ms
(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

simplify942.0ms

Counts
145 → 145
Iterations

Useful iterations: done (936.0ms)

IterNodesCost
02133586
14643175
216072836
done50012633

prune487.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sqrt (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)) 0.70711)
0.5b
(* (sqrt (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)) (* (sqrt (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)) 0.70711))
14.6b
(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
14.6b
(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite265.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
29×*-un-lft-identity
25×add-cube-cbrt
20×times-frac
18×associate-*l*
15×add-exp-log add-cbrt-cube
14×sqrt-div
13×sqrt-prod
11×pow1
10×associate-*l/
flip3-- flip--
associate-/r* associate-/l*
expm1-log1p-u frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp difference-of-squares
cbrt-undiv frac-2neg associate-*r/ div-exp clear-num *-commutative div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 121
Calls
4 calls:
80.0ms
(* (sqrt (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)) 0.70711)
163.0ms
(* (sqrt (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)) (* (sqrt (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)) 0.70711))
9.0ms
(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
6.0ms
(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

series431.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(* (sqrt (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)) 0.70711)
90.0ms
(* (sqrt (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)) (* (sqrt (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)) 0.70711))
92.0ms
(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
100.0ms
(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

simplify1.2s

Counts
133 → 133
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02033734
14673489
216532873
done50012795

prune539.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma 0.04481 x 0.99229) x 1.0)
0.1b
(pow (* 0.70711 (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)) 3)
14.6b
(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
21.0b
(cbrt (pow (* 0.70711 (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)) 3))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-exp-log times-frac add-cbrt-cube
cbrt-prod
pow1
cube-div expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
pow-unpow associate-/r* associate-/l*
cube-mult unpow-prod-down cbrt-div flip3-- pow-pow unpow3 cube-prod pow-exp flip-- rem-cube-cbrt sqr-pow
cbrt-undiv pow-to-exp frac-2neg pow1/3 div-exp pow-prod-down prod-exp clear-num rem-cbrt-cube cbrt-unprod fma-udef div-inv
Counts
4 → 86
Calls
4 calls:
0.0ms
(fma (fma 0.04481 x 0.99229) x 1.0)
33.0ms
(pow (* 0.70711 (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)) 3)
9.0ms
(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
7.0ms
(cbrt (pow (* 0.70711 (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)) 3))

series410.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(fma (fma 0.04481 x 0.99229) x 1.0)
150.0ms
(pow (* 0.70711 (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)) 3)
98.0ms
(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
122.0ms
(cbrt (pow (* 0.70711 (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)) 3))

simplify998.0ms

Counts
98 → 98
Iterations

Useful iterations: 2 (275.0ms)

IterNodesCost
01802125
14321955
217001760
done50001760

prune441.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes22.0ms

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
01316
11416
done1416

end0.0ms

sample812.0ms

Algorithm
intervals
Results
627.0ms8000×body80valid