Details

sample36.0ms

Algorithm

intervals

Results

25.0ms

256×

body

valid

simplify267.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

267.0ms

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

4.1b	(- 2 (/ 2 (+ 1 t)))
4.1b	(- 2 (/ 2 (+ 1 t)))
4.1b	(- 2 (/ 2 (+ 1 t)))
4.1b	(- 2 (/ 2 (+ 1 t)))

rewrite108.0ms

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

32.0ms	(- 2 (/ 2 (+ 1 t)))
28.0ms	(- 2 (/ 2 (+ 1 t)))
27.0ms	(- 2 (/ 2 (+ 1 t)))
15.0ms	(- 2 (/ 2 (+ 1 t)))

series122.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

40.0ms	(- 2 (/ 2 (+ 1 t)))
35.0ms	(- 2 (/ 2 (+ 1 t)))
24.0ms	(- 2 (/ 2 (+ 1 t)))
23.0ms	(- 2 (/ 2 (+ 1 t)))

simplify1.5m

Counts

476 → 312

Calls

476 calls:

Slowest

846.0ms	(fma (- (/ 2 (cbrt (+ 1 t)))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))) (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t))))))
818.0ms	(fma (- (/ 2 (cbrt (+ 1 t)))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))) (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t))))))
770.0ms	(fma (- (/ 2 (cbrt (+ 1 t)))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))) (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t))))))
539.0ms	(fma (sqrt 2) (sqrt 2) (- (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))))))
522.0ms	(fma (* (cbrt 2) (cbrt 2)) (cbrt 2) (- (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))))))

prune3.4s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

4.1b	(- 2 (/ 2 (+ 1 t)))
4.1b	(- 2 (/ 2 (+ 1 t)))
4.1b	(- 2 (/ 2 (+ 1 t)))
4.1b	(fma 1 2 (- (* (/ (cbrt 2) (+ 1 t)) (/ (* (cbrt 2) (cbrt 2)) 1))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

193×	`*-un-lft-identity`
162×	`prod-diff`
148×	`add-sqr-sqrt`
133×	`add-cube-cbrt`
111×	`times-frac`
27×	`distribute-lft-out`
18×	`associate-/r/`
10×	`add-log-exp`
9×	`flip3-+` `fma-neg` `flip-+` `div-inv`
6×	`difference-of-squares`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`
1×	`fma-udef`

Counts

4 → 236

Calls

4 calls:

Slowest

31.0ms	(- 2 (/ 2 (+ 1 t)))
14.0ms	(- 2 (/ 2 (+ 1 t)))
14.0ms	(- 2 (/ 2 (+ 1 t)))
0.0ms	(fma 1 2 (- (* (/ (cbrt 2) (+ 1 t)) (/ (* (cbrt 2) (cbrt 2)) 1))))

series176.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

76.0ms	(fma 1 2 (- (* (/ (cbrt 2) (+ 1 t)) (/ (* (cbrt 2) (cbrt 2)) 1))))
36.0ms	(- 2 (/ 2 (+ 1 t)))
34.0ms	(- 2 (/ 2 (+ 1 t)))
30.0ms	(- 2 (/ 2 (+ 1 t)))

simplify1.1m

Counts

360 → 248

Calls

360 calls:

Slowest

698.0ms	(fma 1 2 (- (* (/ (cbrt 2) (+ 1 t)) (/ (* (cbrt 2) (cbrt 2)) 1))))
625.0ms	(fma (- (/ (cbrt 2) (sqrt (+ 1 t)))) (/ (* (cbrt 2) (cbrt 2)) (sqrt (+ 1 t))) (* (/ (cbrt 2) (sqrt (+ 1 t))) (/ (* (cbrt 2) (cbrt 2)) (sqrt (+ 1 t)))))
556.0ms	(fma (* (cbrt 2) (cbrt 2)) (cbrt 2) (- (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))))))
536.0ms	(fma (* (cbrt 2) (cbrt 2)) (cbrt 2) (- (* (- 1 t) (/ 2 (- (* 1 1) (* t t))))))
525.0ms	(fma (* (cbrt 2) (cbrt 2)) (cbrt 2) (- (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))))))

prune3.8s

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