Details

Time bar (total: 3.9s)

sample27.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
4.0ms256×pre80true

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
01435
13335
211931
358631
4438731
done500031

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (fma 1.0 2.0 (+ alpha beta)) 1.0)
0.0b
(/ (/ (+ 1.0 (fma alpha beta (+ alpha beta))) (fma 1.0 2.0 (+ alpha beta))) (fma 1.0 2.0 (+ alpha beta)))
0.1b
(/ (/ (/ (+ 1.0 (fma alpha beta (+ alpha beta))) (fma 1.0 2.0 (+ alpha beta))) (fma 1.0 2.0 (+ alpha beta))) (+ (fma 1.0 2.0 (+ alpha beta)) 1.0))
2.4b
(/ (+ 1.0 (fma alpha beta (+ alpha beta))) (fma 1.0 2.0 (+ alpha beta)))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
736×times-frac
551×*-un-lft-identity
321×add-sqr-sqrt add-cube-cbrt
115×distribute-lft-out
72×associate-/l*
27×div-inv
20×add-exp-log add-cbrt-cube
10×cbrt-undiv div-exp associate-/r*
add-log-exp
pow1 expm1-log1p-u log1p-expm1-u associate-/l/
fma-def frac-2neg flip3-+ clear-num flip-+
associate-/r/
+-commutative associate-+l+ sum-log fma-udef
Counts
4 → 422
Calls
4 calls:
11.0ms
(+ (fma 1.0 2.0 (+ alpha beta)) 1.0)
34.0ms
(/ (/ (+ 1.0 (fma alpha beta (+ alpha beta))) (fma 1.0 2.0 (+ alpha beta))) (fma 1.0 2.0 (+ alpha beta)))
61.0ms
(/ (/ (/ (+ 1.0 (fma alpha beta (+ alpha beta))) (fma 1.0 2.0 (+ alpha beta))) (fma 1.0 2.0 (+ alpha beta))) (+ (fma 1.0 2.0 (+ alpha beta)) 1.0))
26.0ms
(/ (+ 1.0 (fma alpha beta (+ alpha beta))) (fma 1.0 2.0 (+ alpha beta)))

series51.0ms