Details

sample42.0ms

Algorithm

intervals

Results

32.0ms

256×

body

valid

simplify169.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

169.0ms

(- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

2.6b	(- 2 (/ 2 (+ 1 t)))
2.6b	(- 2 (/ 2 (+ 1 t)))
0.0b	(/ 2 (+ 1 t))
0.0b	(/ 2 (+ 1 t))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

164×	`*-un-lft-identity`
118×	`add-sqr-sqrt`
108×	`prod-diff` `add-cube-cbrt`
98×	`times-frac`
26×	`distribute-lft-out`
16×	`associate-/r/`
8×	`associate-/r*` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `div-inv` `add-log-exp`
6×	`fma-neg` `associate-/l*`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `difference-of-squares`
2×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `flip--` `distribute-lft-out--`

Counts

4 → 222

Calls

4 calls:

Slowest

20.0ms	(- 2 (/ 2 (+ 1 t)))
14.0ms	(- 2 (/ 2 (+ 1 t)))
8.0ms	(/ 2 (+ 1 t))
8.0ms	(/ 2 (+ 1 t))

series80.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

26.0ms	(- 2 (/ 2 (+ 1 t)))
21.0ms	(- 2 (/ 2 (+ 1 t)))
17.0ms	(/ 2 (+ 1 t))
16.0ms	(/ 2 (+ 1 t))

simplify48.6s

Counts

312 → 234

Calls

312 calls:

Slowest

730.0ms	(fma (- (/ (cbrt 2) (cbrt (+ 1 t)))) (/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))) (* (/ (cbrt 2) (cbrt (+ 1 t))) (/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ 1 t)) (cbrt (+ 1 t))))))
545.0ms	(fma 1 2 (- (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))))))
528.0ms	(fma (* (cbrt 2) (cbrt 2)) (cbrt 2) (- (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))))))
526.0ms	(fma (* (cbrt 2) (cbrt 2)) (cbrt 2) (- (* (- 1 t) (/ 2 (- (* 1 1) (* t t))))))
517.0ms	(fma (sqrt 2) (sqrt 2) (- (* (- 1 t) (/ 2 (- (* 1 1) (* t t))))))

prune2.1s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

2.6b	(- 2 (/ 2 (+ 1 t)))
2.6b	(- 2 (/ 2 (+ 1 t)))
2.6b	(- 2 (/ 2 (+ 1 t)))
2.6b	(- 2 (/ 2 (+ 1 t)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

256×	`*-un-lft-identity`
216×	`prod-diff`
196×	`add-sqr-sqrt`
176×	`add-cube-cbrt`
148×	`times-frac`
36×	`distribute-lft-out`
24×	`associate-/r/`
12×	`flip3-+` `fma-neg` `flip-+` `div-inv` `add-log-exp`
8×	`difference-of-squares`
4×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--`

Counts

4 → 300

Calls

4 calls:

Slowest

34.0ms	(- 2 (/ 2 (+ 1 t)))
29.0ms	(- 2 (/ 2 (+ 1 t)))
24.0ms	(- 2 (/ 2 (+ 1 t)))
17.0ms	(- 2 (/ 2 (+ 1 t)))

series107.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

33.0ms	(- 2 (/ 2 (+ 1 t)))
28.0ms	(- 2 (/ 2 (+ 1 t)))
24.0ms	(- 2 (/ 2 (+ 1 t)))
21.0ms	(- 2 (/ 2 (+ 1 t)))

simplify1.5m

Counts

476 → 312

Calls

476 calls:

Slowest

869.0ms	(fma (* (cbrt 2) (cbrt 2)) (cbrt 2) (- (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))))))
710.0ms	(fma 1 2 (- (* (+ (* 1 1) (- (* t t) (* 1 t))) (/ 2 (+ (pow 1 3) (pow t 3))))))
564.0ms	(fma (* (cbrt 2) (cbrt 2)) (cbrt 2) (- (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))))))
563.0ms	(fma 1 2 (- (* (cbrt (/ 2 (+ 1 t))) (* (cbrt (/ 2 (+ 1 t))) (cbrt (/ 2 (+ 1 t)))))))
562.0ms	(fma (* (cbrt 2) (cbrt 2)) (cbrt 2) (- (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))))))

prune3.3s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.5s

8000×

body

valid