Details

sample110.0ms

Algorithm

intervals

Results

89.0ms

256×

body

valid

simplify3.4s

Counts: 1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

2.4b	(- 2 (/ 2 (+ 1 t)))
2.4b	(- 2 (/ 2 (+ 1 t)))
0.0b	(/ 1 (fma (- 2 (/ 2 (+ 1 t))) (- 2 (/ 2 (+ 1 t))) 2))
0.0b	(fma (- 2 (/ 2 (+ 1 t))) (- 2 (/ 2 (+ 1 t))) 2)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

138×	`*-un-lft-identity`
108×	`add-sqr-sqrt` `prod-diff`
98×	`add-cube-cbrt`
83×	`times-frac`
18×	`distribute-lft-out`
12×	`associate-/r/`
8×	`add-exp-log` `add-log-exp`
7×	`div-inv`
6×	`flip3-+` `add-cbrt-cube` `fma-neg` `flip-+`
5×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `difference-of-squares`
3×	`associate-/r` `associate-/l`
2×	`sub-neg` `flip3--` `diff-log` `div-exp` `flip--` `distribute-lft-out--`
1×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `fma-udef` `pow-flip` `inv-pow`

Counts

4 → 195

Calls

4 calls:

Slowest

19.0ms	(- 2 (/ 2 (+ 1 t)))
15.0ms	(- 2 (/ 2 (+ 1 t)))
4.0ms	(/ 1 (fma (- 2 (/ 2 (+ 1 t))) (- 2 (/ 2 (+ 1 t))) 2))
0.0ms	(fma (- 2 (/ 2 (+ 1 t))) (- 2 (/ 2 (+ 1 t))) 2)

series208.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

84.0ms	(/ 1 (fma (- 2 (/ 2 (+ 1 t))) (- 2 (/ 2 (+ 1 t))) 2))
65.0ms	(fma (- 2 (/ 2 (+ 1 t))) (- 2 (/ 2 (+ 1 t))) 2)
31.0ms	(- 2 (/ 2 (+ 1 t)))
28.0ms	(- 2 (/ 2 (+ 1 t)))

simplify599.0ms

Counts: 207 → 207

prune2.7s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize87.0ms

Local error

Found 4 expressions with local error:

2.4b	(- 2 (/ 2 (+ 1 t)))
2.3b	(- (* (* 2 2) 2) (* (/ 2 (+ 1 t)) (* (/ 2 (+ 1 t)) (/ 2 (+ 1 t)))))
0.2b	(* (/ 2 (+ 1 t)) (/ 2 (+ 1 t)))
0.0b	(* (/ 2 (+ 1 t)) (* (/ 2 (+ 1 t)) (/ 2 (+ 1 t))))

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

159×	`*-un-lft-identity`
114×	`times-frac`
111×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
57×	`add-cbrt-cube` `add-exp-log`
55×	`prod-diff`
36×	`associate-l`
30×	`distribute-lft-out`
25×	`pow1`
24×	`swap-sqr`
22×	`prod-exp` `cbrt-unprod`
19×	`associate-r`
17×	`cbrt-undiv` `div-exp`
16×	`associate-/r/`
8×	`flip3-+` `flip-+` `div-inv` `add-log-exp`
6×	`frac-times` `associate-*r/` `pow-prod-up` `unswap-sqr`
4×	`expm1-log1p-u` `fma-neg` `pow-prod-down` `associate-*l/` `insert-posit16` `log1p-expm1-u`
2×	`pow2` `sub-neg` `pow-plus` `flip3--` `diff-log` `cube-unmult` `pow-sqr` `*-commutative` `flip--` `difference-of-squares`
1×	`difference-cubes` `pow3` `distribute-lft-out--`

Counts

4 → 250

Calls

4 calls:

Slowest

97.0ms	(- (* (* 2 2) 2) (* (/ 2 (+ 1 t)) (* (/ 2 (+ 1 t)) (/ 2 (+ 1 t)))))
73.0ms	(* (/ 2 (+ 1 t)) (* (/ 2 (+ 1 t)) (/ 2 (+ 1 t))))
36.0ms	(* (/ 2 (+ 1 t)) (/ 2 (+ 1 t)))
16.0ms	(- 2 (/ 2 (+ 1 t)))

series141.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

52.0ms	(- (* (* 2 2) 2) (* (/ 2 (+ 1 t)) (* (/ 2 (+ 1 t)) (/ 2 (+ 1 t)))))
33.0ms	(* (/ 2 (+ 1 t)) (* (/ 2 (+ 1 t)) (/ 2 (+ 1 t))))
30.0ms	(- 2 (/ 2 (+ 1 t)))
27.0ms	(* (/ 2 (+ 1 t)) (/ 2 (+ 1 t)))

simplify1.8s

Counts: 262 → 262

prune4.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.4s

8000×

body

valid