Details

Time bar (total: 15.3s)

sample42.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
01417
12217
23914
36814
410714
512614
614814
717614
822914
948214
10160314
done500114

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))
0.1b
(fma (fma 0.04481 x 0.99229) x 1.0)
14.3b
(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
48×*-un-lft-identity
46×add-cube-cbrt
39×prod-diff
37×times-frac
add-exp-log add-cbrt-cube add-log-exp
div-inv
pow1 expm1-log1p-u fma-neg associate-/r* log1p-expm1-u associate-/l*
difference-of-squares
cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num flip-- fma-udef distribute-lft-out--
Counts
3 → 98
Calls
3 calls:
19.0ms
(- x (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))
0.0ms
(fma (fma 0.04481 x 0.99229) x 1.0)
5.0ms
(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

series204.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(- x (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))
38.0ms
(fma (fma 0.04481 x 0.99229) x 1.0)
103.0ms
(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

simplify2.1s

Counts
107 → 107
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02094807
14994300
219613204
done50002430

prune309.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (fma x 0.27061 2.30753) (/ 1 (fma (fma 0.04481 x 0.99229) x 1.0))))
0.1b
(fma (fma 0.04481 x 0.99229) x 1.0)
1.0b
(/ 1 (fma (fma 0.04481 x 0.99229) x 1.0))
13.1b
(* (fma x 0.27061 2.30753) (/ 1 (fma (fma 0.04481 x 0.99229) x 1.0)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
23×*-un-lft-identity
22×add-cube-cbrt
20×times-frac
17×add-exp-log
13×associate-*r*
11×add-cbrt-cube
pow1
add-log-exp
expm1-log1p-u div-exp prod-exp log1p-expm1-u
fma-neg associate-*l* prod-diff associate-/r* associate-/l* unswap-sqr
cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
sub-neg flip3-- pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative flip-- fma-udef inv-pow
Counts
4 → 101
Calls
4 calls:
14.0ms
(- x (* (fma x 0.27061 2.30753) (/ 1 (fma (fma 0.04481 x 0.99229) x 1.0))))
1.0ms
(fma (fma 0.04481 x 0.99229) x 1.0)
18.0ms
(/ 1 (fma (fma 0.04481 x 0.99229) x 1.0))
24.0ms
(* (fma x 0.27061 2.30753) (/ 1 (fma (fma 0.04481 x 0.99229) x 1.0)))

series311.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(- x (* (fma x 0.27061 2.30753) (/ 1 (fma (fma 0.04481 x 0.99229) x 1.0))))
29.0ms
(fma (fma 0.04481 x 0.99229) x 1.0)
85.0ms
(/ 1 (fma (fma 0.04481 x 0.99229) x 1.0))
113.0ms
(* (fma x 0.27061 2.30753) (/ 1 (fma (fma 0.04481 x 0.99229) x 1.0)))

simplify1.2s

Counts
113 → 113
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01752027
13981768
216461576
done50001572

prune359.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (fma x 0.27061 2.30753) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))) (/ 1 (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))))
0.2b
(/ 1 (sqrt (fma (fma 0.04481 x 0.99229) x 1.0)))
14.3b
(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
14.3b
(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
30×add-exp-log
22×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×pow1 div-exp
prod-exp
associate-/r*
cbrt-undiv
expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
rec-exp pow-flip sqrt-pow1 pow1/2 1-exp div-inv associate-/l*
rem-sqrt-square
frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num un-div-inv *-commutative inv-pow
Counts
4 → 163
Calls
4 calls:
70.0ms
(* (/ (fma x 0.27061 2.30753) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))) (/ 1 (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))))
9.0ms
(/ 1 (sqrt (fma (fma 0.04481 x 0.99229) x 1.0)))
2.0ms
(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
2.0ms
(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))

series468.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(* (/ (fma x 0.27061 2.30753) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))) (/ 1 (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))))
137.0ms
(/ 1 (sqrt (fma (fma 0.04481 x 0.99229) x 1.0)))
111.0ms
(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
130.0ms
(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))

simplify4.5s

Counts
175 → 175
Iterations

Useful iterations: done (4.5s)

IterNodesCost
02384288
16563864
242253499
done50013497

prune661.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes19.0ms

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
11616
done1616

end0.0ms

sample960.0ms

Algorithm
intervals
Results
787.0ms8000×body80valid