Details

sample46.0ms

Algorithm

intervals

Results

15.0ms

379×

body

valid

simplify76.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	17	9
2	35	9
3	51	9
4	71	9
5	83	9
6	87	9
done	87	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize13.0ms

Local error

Found 2 expressions with local error:

0.2b	(- (* x y) (* z t))
7.2b	(/ (- (* x y) (* z t)) a)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `clear-num` `div-inv`

Counts

2 → 48

Calls

2 calls:

9.0ms	(- (* x y) (* z t))
33.0ms	(/ (- (* x y) (* z t)) a)

series131.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(- (* x y) (* z t))
76.0ms	(/ (- (* x y) (* z t)) a)

simplify3.2s

Counts

54 → 54

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	88	706
1	219	679
2	687	628
3	2384	628
done	5002	622

prune236.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.2b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* x y) a) (/ (* t z) a))
5.4b	(/ (* x y) a)
6.4b	(/ (* t z) a)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

51×	`times-frac`
49×	`prod-diff`
39×	`add-sqr-sqrt` `*-un-lft-identity`
37×	`add-cube-cbrt`
19×	`div-inv`
13×	`add-exp-log` `add-cbrt-cube`
7×	`fma-neg`
6×	`associate-/r*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l*`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `frac-sub` `flip--` `distribute-lft-out--` `sub-div` `difference-of-squares`

Counts

3 → 121

Calls

3 calls:

48.0ms	(- (/ (* x y) a) (/ (* t z) a))
20.0ms	(/ (* x y) a)
21.0ms	(/ (* t z) a)

series189.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(- (/ (* x y) a) (/ (* t z) a))
40.0ms	(/ (* x y) a)
46.0ms	(/ (* t z) a)

simplify1.7s

Counts

130 → 130

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	193	2987
1	469	2420
2	1512	1968
done	5000	1660

prune406.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(cbrt a)
2.7b	(fma (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)) (* (/ z a) (- t)))
5.1b	(* (/ z a) (- t))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-l`
10×	`times-frac` `associate-r`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `cbrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`pow1/3` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `neg-mul-1` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `distribute-rgt-neg-out` `fma-udef` `div-inv`

Counts

4 → 78

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
0.0ms	(fma (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)) (* (/ z a) (- t)))
21.0ms	(* (/ z a) (- t))

series43.0ms

Calls

1 calls:

43.0ms

(* (/ z a) (- t))