Details

sample38.0ms

Algorithm

intervals

Results

18.0ms

267×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	326
1	23	326
2	37	326
3	65	326
4	95	326
5	114	326
6	134	326
7	203	326
8	365	326
9	710	326
10	1775	326
done	5002	326

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
1.0b	(+ (* x y) (* z (- t a)))
24.4b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

26.0ms	(* z (- t a))
27.0ms	(* z (- b y))
12.0ms	(+ (* x y) (* z (- t a)))
30.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series527.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* z (- t a))
37.0ms	(* z (- b y))
49.0ms	(+ (* x y) (* z (- t a)))
402.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify1.5s

Counts

110 → 110

Iterations

Useful iterations: 2 (311.0ms)

Iter	Nodes	Cost
0	169	28423
1	425	26412
2	1311	26092
done	5000	26092

prune697.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 24.6b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
1.0b	(+ (* x y) (* z (- t a)))
1.5b	(/ 1 (+ y (* z (- b y))))
23.4b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

23.0ms	(* z (- b y))
13.0ms	(+ (* x y) (* z (- t a)))
13.0ms	(/ 1 (+ y (* z (- b y))))
62.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series710.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* z (- b y))
67.0ms	(+ (* x y) (* z (- t a)))
125.0ms	(/ 1 (+ y (* z (- b y))))
462.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify144.0ms

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	176	38430