Details

sample55.0ms

Algorithm

intervals

Results

43.0ms

256×

body

valid

simplify263.0ms

Calls

1 calls:

Slowest

263.0ms

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

4.0b	(- 2 (/ 2 (+ 1 t)))
4.0b	(- 2 (/ 2 (+ 1 t)))
0.0b	(/ 2 (+ 1 t))
0.0b	(/ 2 (+ 1 t))

rewrite79.0ms

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--`

Calls

4 calls:

Slowest

27.0ms	(- 2 (/ 2 (+ 1 t)))
17.0ms	(- 2 (/ 2 (+ 1 t)))
14.0ms	(/ 2 (+ 1 t))
14.0ms	(/ 2 (+ 1 t))

series105.0ms

Calls

4 calls:

Slowest

34.0ms	(- 2 (/ 2 (+ 1 t)))
26.0ms	(- 2 (/ 2 (+ 1 t)))
24.0ms	(/ 2 (+ 1 t))
20.0ms	(/ 2 (+ 1 t))

simplify45.3s

Calls

312 calls:

Slowest

657.0ms	(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))))))
560.0ms	(fma (sqrt 2) (sqrt 2) (- (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))))))
519.0ms	(fma (* (cbrt 2) (cbrt 2)) (cbrt 2) (- (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))))))
466.0ms	(fma (* (cbrt 2) (cbrt 2)) (cbrt 2) (- (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))))))
461.0ms	(fma (- (/ 2 (cbrt (+ 1 t)))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))) (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t))))))

prune2.0s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

33.2b	(fma (sqrt 2) (sqrt 2) (- (/ 2 (+ 1 t))))
4.0b	(- 2 (/ 2 (+ 1 t)))
0.0b	(/ 2 (+ 1 t))
0.0b	(/ 2 (+ 1 t))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
70×	`add-sqr-sqrt`
65×	`add-cube-cbrt`
61×	`times-frac`
54×	`prod-diff`
17×	`distribute-lft-out`
10×	`associate-/r/`
8×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
6×	`associate-/l*` `add-log-exp`
5×	`flip3-+` `flip-+` `div-inv`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `fma-udef` `flip--` `distribute-lft-out--`

Calls

4 calls:

Slowest

28.0ms	(- 2 (/ 2 (+ 1 t)))
21.0ms	(/ 2 (+ 1 t))
14.0ms	(/ 2 (+ 1 t))
1.0ms	(fma (sqrt 2) (sqrt 2) (- (/ 2 (+ 1 t))))

series115.0ms

Calls

4 calls:

Slowest

59.0ms	(fma (sqrt 2) (sqrt 2) (- (/ 2 (+ 1 t))))
27.0ms	(- 2 (/ 2 (+ 1 t)))
15.0ms	(/ 2 (+ 1 t))
15.0ms	(/ 2 (+ 1 t))

simplify25.5s

Calls

196 calls:

Slowest

769.0ms	(fma (sqrt 2) (sqrt 2) (- (* (/ (cbrt 2) (+ 1 t)) (/ (* (cbrt 2) (cbrt 2)) 1))))
540.0ms	(- (+ (* 2 t) (pow (sqrt 2) 2)) (+ (* 2 (pow t 2)) 2))
533.0ms	(fma 1 2 (- (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))))))
493.0ms	(fma (* (cbrt 2) (cbrt 2)) (cbrt 2) (- (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))))))
448.0ms	(fma (- (/ 2 (cbrt (+ 1 t)))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t)))) (* (/ 2 (cbrt (+ 1 t))) (/ 1 (* (cbrt (+ 1 t)) (cbrt (+ 1 t))))))

prune2.0s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.7s

8000×

body

valid