Details

sample44.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
7.0ms	256×	pre	80	true

simplify146.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

146.0ms

(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize42.0ms

Local error

Found 4 expressions with local error:

3.9b	(/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha)))
0.1b	(/ (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha))) (+ (+ 1.0 (+ beta alpha)) 2))
0.0b	(/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))
0.0b	(+ (+ 1.0 (+ beta alpha)) 2)

rewrite870.0ms

Algorithm

rewrite-expression-head

Rules

4332×	`*-un-lft-identity`
2696×	`times-frac`
2173×	`distribute-lft-out`
778×	`add-sqr-sqrt` `add-cube-cbrt`
166×	`associate-/l*`
102×	`associate-/r/`
53×	`flip3-+` `flip-+`
51×	`div-inv`
20×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/r*`
13×	`add-log-exp`
10×	`cbrt-undiv` `div-exp`
6×	`sum-log`
4×	`pow1` `insert-posit16` `associate-/l/`
3×	`clear-num` `frac-2neg`
1×	`+-commutative` `associate-+l+`

Counts

4 → 1221

Calls

4 calls:

Slowest

296.0ms	(/ (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha))) (+ (+ 1.0 (+ beta alpha)) 2))
220.0ms	(/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))
171.0ms	(/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha)))
83.0ms	(+ (+ 1.0 (+ beta alpha)) 2)

series548.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

196.0ms	(/ (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha))) (+ (+ 1.0 (+ beta alpha)) 2))
176.0ms	(/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))
155.0ms	(/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha)))
21.0ms	(+ (+ 1.0 (+ beta alpha)) 2)

simplify7.6m

Counts

2203 → 1233

Calls

2203 calls:

Slowest

992.0ms	(/ (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (sqrt (+ 2 (+ beta alpha)))) (+ 2 (+ beta alpha))) (+ (+ 1.0 (+ beta alpha)) 2))
951.0ms	(/ (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (+ 2 (+ beta alpha))) (+ (+ 1.0 (+ beta alpha)) 2))
851.0ms	(/ (/ (- 2 (+ beta alpha)) (+ 2 (+ beta alpha))) (+ (+ 1.0 (+ beta alpha)) 2))
777.0ms	(/ (+ (+ 1.0 (+ beta alpha)) 2) (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha))))
748.0ms	(/ (+ (+ 1.0 (+ beta alpha)) 2) (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha))))

prune14.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.1b

localize59.0ms

Local error

Found 4 expressions with local error:

3.9b	(/ (+ (+ (* beta alpha) (+ alpha beta)) 1.0) (+ 2 (+ alpha beta)))
0.1b	(/ (/ (/ (+ (+ (* beta alpha) (+ alpha beta)) 1.0) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta))) (- 2 (+ alpha beta)))
0.0b	(/ (/ (+ (+ (* beta alpha) (+ alpha beta)) 1.0) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)))
0.0b	(* (/ (/ (/ (+ (+ (* beta alpha) (+ alpha beta)) 1.0) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta))) (- 2 (+ alpha beta))) (/ (- 2 (+ beta alpha)) (+ (+ 1.0 (+ beta alpha)) 2)))

rewrite2.1s

Algorithm

rewrite-expression-head

Rules

6831×	`*-un-lft-identity`
4944×	`times-frac`
2638×	`distribute-lft-out`
1980×	`add-sqr-sqrt`
1390×	`add-cube-cbrt`
822×	`associate-l`
558×	`distribute-lft-out--`
279×	`difference-of-squares`
178×	`associate-/r/`
166×	`associate-/l*`
89×	`div-inv`
88×	`flip3-+` `flip-+`
52×	`add-cbrt-cube` `add-exp-log`
42×	`associate-r`
26×	`cbrt-undiv` `div-exp`
16×	`associate-/r*`
8×	`prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`pow1`
4×	`insert-posit16` `add-log-exp` `associate-/l/`
3×	`clear-num` `frac-2neg`
2×	`flip3--` `flip--`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 2104

Calls

4 calls:

Slowest

692.0ms	(* (/ (/ (/ (+ (+ (* beta alpha) (+ alpha beta)) 1.0) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta))) (- 2 (+ alpha beta))) (/ (- 2 (+ beta alpha)) (+ (+ 1.0 (+ beta alpha)) 2)))
317.0ms	(/ (/ (/ (+ (+ (* beta alpha) (+ alpha beta)) 1.0) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta))) (- 2 (+ alpha beta)))
296.0ms	(/ (/ (+ (+ (* beta alpha) (+ alpha beta)) 1.0) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)))
231.0ms	(/ (+ (+ (* beta alpha) (+ alpha beta)) 1.0) (+ 2 (+ alpha beta)))

series657.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

204.0ms	(* (/ (/ (/ (+ (+ (* beta alpha) (+ alpha beta)) 1.0) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta))) (- 2 (+ alpha beta))) (/ (- 2 (+ beta alpha)) (+ (+ 1.0 (+ beta alpha)) 2)))
186.0ms	(/ (/ (/ (+ (+ (* beta alpha) (+ alpha beta)) 1.0) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta))) (- 2 (+ alpha beta)))
164.0ms	(/ (/ (+ (+ (* beta alpha) (+ alpha beta)) 1.0) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)))
102.0ms	(/ (+ (+ (* beta alpha) (+ alpha beta)) 1.0) (+ 2 (+ alpha beta)))