Details

Time bar (total: 916.0ms)

sample35.0ms

Algorithm
intervals
Results
18.0ms505×body80valid

simplify29.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01115
12415
24414
35814
46014
done6014

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
21.7b
(/ (* z z) (* t t))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
cbrt-undiv div-exp prod-exp cbrt-unprod
pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
frac-2neg times-frac clear-num associate-/r* fma-udef div-inv associate-/l*
Counts
2 → 33
Calls
2 calls:
0.0ms
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
5.0ms
(/ (* z z) (* t t))

series130.0ms

Counts
2 → 6
Calls
2 calls:
101.0ms
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
29.0ms
(/ (* z z) (* t t))

simplify399.0ms

Counts
39 → 39
Iterations

Useful iterations: done (398.0ms)

IterNodesCost
066517
1172509
2709379
done5000374

prune118.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (* (fabs (/ z t)) (fabs (/ z t))))
0.4b
(* (fabs (/ z t)) (fabs (/ z t)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
pow1
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
add-exp-log add-cbrt-cube
swap-sqr associate-*r* associate-*l*
expm1-log1p-u log1p-expm1-u add-log-exp
pow2 pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod fma-udef unswap-sqr
Counts
2 → 37
Calls
2 calls:
0.0ms
(fma (/ x y) (/ x y) (* (fabs (/ z t)) (fabs (/ z t))))
3.0ms
(* (fabs (/ z t)) (fabs (/ z t)))

series49.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(fma (/ x y) (/ x y) (* (fabs (/ z t)) (fabs (/ z t))))
10.0ms
(* (fabs (/ z t)) (fabs (/ z t)))

simplify118.0ms

Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
053600
194464
2286383