Details

sample46.0ms

Algorithm

intervals

Results

23.0ms

331×

body

valid

simplify725.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	26	9
3	46	9
4	85	9
5	114	9
6	129	9
7	142	9
8	175	9
9	232	9
10	261	9
11	298	9
12	329	9
13	339	9
done	339	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
8.1b	(/ (* y (- z t)) a)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

10.0ms	(+ x (/ (* y (- z t)) a))
25.0ms	(* y (- z t))
27.0ms	(/ (* y (- z t)) a)

series194.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(+ x (/ (* y (- z t)) a))
39.0ms	(* y (- z t))
84.0ms	(/ (* y (- z t)) a)

simplify2.9s

Counts

70 → 70

Iterations

Useful iterations: 2 (153.0ms)

Iter	Nodes	Cost
0	116	722
1	297	679
2	909	589
3	4421	589
done	5001	589

prune215.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ a (- z t))))
0.0b	(/ a (- z t))
5.9b	(/ y (/ a (- z t)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
105×	`*-un-lft-identity`
103×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 151

Calls

3 calls:

39.0ms	(+ x (/ y (/ a (- z t))))
11.0ms	(/ a (- z t))
28.0ms	(/ y (/ a (- z t)))

series74.0ms

Calls

1 calls:

70.0ms

(/ y (/ a (- z t)))