Details

sample39.0ms

Algorithm

intervals

Results

22.0ms

505×

body

valid

simplify17.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	15
1	24	15
2	42	15
3	54	15
done	54	15

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
18.9b	(/ (* x x) (* y y))
21.7b	(/ (* z z) (* t t))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log` `add-cbrt-cube`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
5×	`*-un-lft-identity` `add-log-exp`
3×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
2×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`
1×	`+-commutative` `flip3-+` `frac-add` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 55

Calls

3 calls:

10.0ms	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
5.0ms	(/ (* x x) (* y y))
5.0ms	(/ (* z z) (* t t))

series147.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
26.0ms	(/ (* x x) (* y y))
28.0ms	(/ (* z z) (* t t))

simplify537.0ms

Counts

64 → 64

Iterations

Useful iterations: 2 (114.0ms)

Iter	Nodes	Cost
0	113	909
1	362	856
2	1710	664
done	5001	664

prune147.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
0.4b	(* (/ z t) (/ z t))
18.9b	(/ (* x x) (* y y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
41×	`times-frac`
31×	`add-cube-cbrt` `*-un-lft-identity`
27×	`add-exp-log` `add-cbrt-cube`
13×	`swap-sqr` `associate-r` `associate-l`
10×	`pow1`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
5×	`div-inv` `add-log-exp`
4×	`unswap-sqr`
3×	`frac-add`
2×	`frac-times` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `frac-2neg` `flip3-+` `pow-plus` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `pow-sqr` `-commutative` `pow-prod-up` `flip-+` `associate-/l*`

Counts

3 → 102

Calls

3 calls:

8.0ms	(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
14.0ms	(* (/ z t) (/ z t))
5.0ms	(/ (* x x) (* y y))

series147.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
26.0ms	(* (/ z t) (/ z t))
29.0ms	(/ (* x x) (* y y))

simplify166.0ms

Iterations

Useful iterations: 1 (43.0ms)

Iter	Nodes	Cost
0	182	1515
1	580	1368