Details

sample44.0ms

Algorithm

intervals

Results

17.0ms	253×	body	80	valid
4.0ms	12×	body	1280	valid
2.0ms	8×	body	640	valid
2.0ms	10×	body	320	valid
1.0ms	10×	body	160	valid

simplify17.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	20	13
2	45	13
3	111	13
4	288	13
5	633	13
6	1189	13
7	2048	13
8	2872	13
9	3396	13
10	3629	13
11	3899	13
12	4189	13
done	5001	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
2.6b	(+ x (/ (* (- y x) (- z t)) (- a t)))
15.1b	(/ (* (- y x) (- z t)) (- a t))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`flip3--` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/l/`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 81

Calls

3 calls:

77.0ms	(* (- y x) (- z t))
28.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
48.0ms	(/ (* (- y x) (- z t)) (- a t))

series515.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(* (- y x) (- z t))
275.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
170.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify1.6s

Counts

90 → 90

Iterations

Useful iterations: 2 (392.0ms)

Iter	Nodes	Cost
0	162	1284
1	468	1213
2	1991	1111
done	5000	1111

prune450.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.6b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.5b	(/ (- y x) (/ (- a t) (- z t)))
2.6b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
323×	`*-un-lft-identity`
321×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
104×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
15×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 274

Calls

3 calls:

34.0ms	(/ (- a t) (- z t))
65.0ms	(/ (- y x) (/ (- a t) (- z t)))
102.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

Details

sample44.0ms

simplify17.4s

prune2.0ms

localize11.0ms

rewrite159.0ms

series515.0ms

simplify1.6s

prune450.0ms

localize25.0ms

rewrite224.0ms

series47.0ms