Details

Time bar (total: 31.9s)

sample38.0ms

Algorithm
intervals
Results
27.0ms256×body80valid

simplify287.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
287.0ms
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
0.0b
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2)
0.0b
(/ (* t 2) (+ 1 t))
0.0b
(/ (* t 2) (+ 1 t))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
14×add-cbrt-cube add-exp-log
add-sqr-sqrt associate-/r* times-frac add-cube-cbrt
expm1-log1p-u pow1 cbrt-undiv div-exp associate-/r/ insert-posit16 log1p-expm1-u distribute-lft-out add-log-exp
clear-num frac-2neg flip3-+ prod-exp cbrt-unprod flip-+ fma-udef div-inv associate-/l*
Counts
4 → 78
Calls
4 calls:
Slowest
30.0ms
(/ (* t 2) (+ 1 t))
25.0ms
(/ (* t 2) (+ 1 t))
1.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2)
1.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)

series216.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
90.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2)
73.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
27.0ms
(/ (* t 2) (+ 1 t))
26.0ms
(/ (* t 2) (+ 1 t))

simplify14.7s

Counts
100 → 90
Calls
100 calls:
Slowest
787.0ms
(sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))
529.0ms
(expm1 (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2))
460.0ms
(sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))
424.0ms
(log1p (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2))
415.0ms
(* (cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2)) (cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2)))

prune808.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

2.5b
(log (exp (/ (* t 2) (+ 1 t))))
0.0b
(exp (/ (* t 2) (+ 1 t)))
0.0b
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
0.0b
(fma (log (exp (/ (* t 2) (+ 1 t)))) (/ (* t 2) (+ 1 t)) 2)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
20×exp-prod
13×*-un-lft-identity
11×log-pow
add-sqr-sqrt add-cube-cbrt
times-frac
pow1 add-log-exp
expm1-log1p-u add-cbrt-cube add-exp-log associate-/r/ insert-posit16 log1p-expm1-u
log-prod
flip3-+ flip-+ fma-udef div-inv distribute-lft-out
rem-log-exp rem-exp-log
Counts
4 → 68
Calls
4 calls:
Slowest
25.0ms
(log (exp (/ (* t 2) (+ 1 t))))
22.0ms
(exp (/ (* t 2) (+ 1 t)))
0.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
0.0ms
(fma (log (exp (/ (* t 2) (+ 1 t)))) (/ (* t 2) (+ 1 t)) 2)

series279.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
96.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
72.0ms
(fma (log (exp (/ (* t 2) (+ 1 t)))) (/ (* t 2) (+ 1 t)) 2)
57.0ms
(exp (/ (* t 2) (+ 1 t)))
53.0ms
(log (exp (/ (* t 2) (+ 1 t))))

simplify13.0s

Counts
81 → 80
Calls
81 calls:
Slowest
477.0ms
(real->posit16 (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))
434.0ms
(expm1 (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))
429.0ms
(* (cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)) (cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)))
418.0ms
(- (+ (* 4 (pow t 2)) 1) (* 8 (pow t 3)))
414.0ms
(log (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))

prune914.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.4s8000×body80valid