Details

Time bar (total: 14.4s)

sample51.0ms

Algorithm
intervals
Results
28.0ms256×body80valid

simplify5.1s

Counts
1 → 1
Iterations
IterNodes
done5000
74400
61524
5635
4247
385
238
120
012

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (fma (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) 2.0))
0.0b
(- 1.0 (/ 1.0 (fma (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) 2.0)))
2.1b
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))
2.1b
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
132×add-sqr-sqrt
123×*-un-lft-identity
117×prod-diff add-cube-cbrt
93×times-frac
10×div-inv add-log-exp
fma-neg
add-cbrt-cube add-exp-log difference-of-squares
expm1-log1p-u pow1 log1p-expm1-u
associate-/r* sub-neg flip3-- diff-log flip-- associate-/l* distribute-lft-out--
cbrt-undiv clear-num frac-2neg div-exp
Counts
4 → 206
Calls
4 calls:
7.0ms
(/ 1.0 (fma (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) 2.0))
21.0ms
(- 1.0 (/ 1.0 (fma (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) 2.0)))
21.0ms
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))
19.0ms
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))

series512.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(/ 1.0 (fma (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) 2.0))
215.0ms
(- 1.0 (/ 1.0 (fma (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) (- 2.0 (/ 2.0 (fma 1.0 t 1.0))) 2.0)))
49.0ms
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))
59.0ms
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))

simplify2.4s

Counts
218 → 218
Iterations
IterNodes
done5001
22415
1862
0342

prune856.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (* 2.0 2.0) (* (/ 2.0 (fma 1.0 t 1.0)) (/ 2.0 (fma 1.0 t 1.0)))) (+ 2.0 (/ 2.0 (fma 1.0 t 1.0))))
0.1b
(* (/ 2.0 (fma 1.0 t 1.0)) (/ 2.0 (fma 1.0 t 1.0)))
2.1b
(- (* 2.0 2.0) (* (/ 2.0 (fma 1.0 t 1.0)) (/ 2.0 (fma 1.0 t 1.0))))
2.1b
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
94×add-sqr-sqrt
89×*-un-lft-identity
84×times-frac
77×add-cube-cbrt
40×prod-diff
18×add-cbrt-cube add-exp-log
13×swap-sqr associate-*r* associate-*l*
11×pow1
div-inv add-log-exp difference-of-squares
cbrt-undiv div-exp distribute-lft-out
expm1-log1p-u associate-/r* fma-neg prod-exp cbrt-unprod log1p-expm1-u associate-/l* unswap-sqr
flip3-- flip--
sub-neg diff-log associate-/r/ associate-/l/
pow2 frac-times clear-num frac-2neg flip3-+ pow-plus div-sub pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up flip-+ distribute-lft-out--
Counts
4 → 188
Calls
4 calls:
49.0ms
(/ (- (* 2.0 2.0) (* (/ 2.0 (fma 1.0 t 1.0)) (/ 2.0 (fma 1.0 t 1.0)))) (+ 2.0 (/ 2.0 (fma 1.0 t 1.0))))
31.0ms
(* (/ 2.0 (fma 1.0 t 1.0)) (/ 2.0 (fma 1.0 t 1.0)))
13.0ms
(- (* 2.0 2.0) (* (/ 2.0 (fma 1.0 t 1.0)) (/ 2.0 (fma 1.0 t 1.0))))
22.0ms
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))

series322.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(/ (- (* 2.0 2.0) (* (/ 2.0 (fma 1.0 t 1.0)) (/ 2.0 (fma 1.0 t 1.0)))) (+ 2.0 (/ 2.0 (fma 1.0 t 1.0))))
61.0ms
(* (/ 2.0 (fma 1.0 t 1.0)) (/ 2.0 (fma 1.0 t 1.0)))
70.0ms
(- (* 2.0 2.0) (* (/ 2.0 (fma 1.0 t 1.0)) (/ 2.0 (fma 1.0 t 1.0))))
51.0ms
(- 2.0 (/ 2.0 (fma 1.0 t 1.0)))

simplify2.8s

Counts
200 → 200
Iterations
IterNodes
done5023
23249
1979
0334

prune1.1s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify6.0ms

Iterations
IterNodes
done15
115
014

end0.0ms

sample971.0ms

Algorithm
intervals
Results
821.0ms8000×body80valid