Details

sample50.0ms

Algorithm

intervals

Results

34.0ms

256×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
6	1460
5	431
4	224
3	97
2	43
1	22
0	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
0.0b	(+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
0.0b	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
0.0b	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

1152×	`*-un-lft-identity`
964×	`associate-/l*`
868×	`add-sqr-sqrt`
722×	`frac-times`
556×	`add-cube-cbrt`
552×	`times-frac`
496×	`associate-l`
468×	`associate-r`
320×	`associate-/r*`
244×	`distribute-lft-out`
180×	`swap-sqr`
150×	`unswap-sqr`
122×	`*-commutative`
82×	`clear-num`
80×	`frac-2neg`
76×	`add-cbrt-cube` `add-exp-log`
38×	`associate-l/` `associate-r/`
30×	`prod-exp` `cbrt-unprod`
24×	`cbrt-undiv` `div-exp`
18×	`pow1`
16×	`associate-/r/`
10×	`flip3-+` `flip-+`
8×	`div-inv` `add-log-exp`
6×	`un-div-inv`
4×	`insert-posit16`
2×	`pow2` `+-commutative` `sum-log` `pow-plus` `pow-prod-down` `pow-sqr` `pow-prod-up`

Counts

4 → 1310

Calls

4 calls:

506.0ms	(+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
481.0ms	(+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
313.0ms	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
288.0ms	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
53.0ms	(+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
50.0ms	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
41.0ms	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))

simplify2.8s

Counts

1322 → 1322

Iterations

Iter	Nodes
done	5001
1	3388
0	836

prune3.8s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
0.0b	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
0.0b	(exp (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
0.8b	(log (exp (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))

rewrite1.9s

Algorithm

rewrite-expression-head

Rules

1803×	`*-un-lft-identity`
1255×	`add-sqr-sqrt`
1104×	`times-frac`
964×	`associate-/l*`
791×	`add-cube-cbrt`
746×	`associate-l`
722×	`frac-times`
696×	`associate-r`
424×	`exp-prod`
400×	`distribute-lft-out`
360×	`swap-sqr`
320×	`associate-/r*`
220×	`unswap-sqr`
214×	`log-pow`
164×	`*-commutative`
82×	`clear-num`
80×	`frac-2neg`
77×	`add-exp-log`
76×	`add-cbrt-cube`
38×	`associate-l/` `associate-r/`
32×	`associate-/r/`
30×	`prod-exp` `cbrt-unprod`
24×	`cbrt-undiv` `div-exp`
19×	`pow1`
16×	`flip3-+` `flip-+` `div-inv`
7×	`add-log-exp`
6×	`un-div-inv`
4×	`insert-posit16`
3×	`log-prod`
2×	`pow2` `pow-plus` `exp-to-pow` `rem-log-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`rem-exp-log`

Counts

4 → 1731

Calls

4 calls:

255.0ms	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
285.0ms	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
655.0ms	(exp (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
466.0ms	(log (exp (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))

series192.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
43.0ms	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
58.0ms	(exp (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
41.0ms	(log (exp (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))

simplify3.0s

Counts

1743 → 1743

Iterations

Iter	Nodes
done	5001
1	3399
0	1072

prune6.7s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	12

end0.0ms

sample1.1s

Algorithm

intervals

Results

953.0ms

8000×

body

valid