Details

sample32.0ms

Algorithm

intervals

Results

14.0ms

326×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	47	11
3	138	10
4	369	10
5	1353	10
done	5000	10

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x (fma 0.5 z y)) (/ z 4.0))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
85×	`add-sqr-sqrt` `*-un-lft-identity`
57×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`div-inv`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/l/`
1×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `clear-num` `associate-/r/` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

1 → 103

Calls

1 calls:

40.0ms

(/ (- x (fma 0.5 z y)) (/ z 4.0))

series76.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

(/ (- x (fma 0.5 z y)) (/ z 4.0))

simplify1.5s

Counts

106 → 106

Iterations

Useful iterations: 2 (698.0ms)

Iter	Nodes	Cost
0	201	2171
1	609	2083
2	2777	1978
done	5000	1978

prune335.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 4.0 (- (/ x z) (/ y z)))
0.0b	(- (/ x z) (/ y z))

rewrite302.0ms

Algorithm

rewrite-expression-head

Rules

731×	`times-frac`
587×	`add-sqr-sqrt`
577×	`*-un-lft-identity`
561×	`add-cube-cbrt`
507×	`prod-diff`
171×	`distribute-rgt-in` `distribute-lft-in`
83×	`div-inv`
13×	`fma-neg`
12×	`associate-r`
8×	`distribute-lft-out--` `difference-of-squares`
4×	`pow1` `add-exp-log` `associate-*r/` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `associate-l`
2×	`expm1-log1p-u` `flip3--` `distribute-rgt-out--` `frac-sub` `flip--` `log1p-expm1-u` `sub-div`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 582

Calls

2 calls:

155.0ms	(* 4.0 (- (/ x z) (/ y z)))
33.0ms	(- (/ x z) (/ y z))

series102.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* 4.0 (- (/ x z) (/ y z)))
52.0ms	(- (/ x z) (/ y z))

simplify1.7s

Counts

588 → 588

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	716	24713
1	1567	21806
done	5001	17209

prune1.9s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (* 4.0 (- x y)) z)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

37.0ms

(/ (* 4.0 (- x y)) z)

series71.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

(/ (* 4.0 (- x y)) z)

simplify707.0ms

Counts

28 → 28

Iterations

Useful iterations: done (706.0ms)

Iter	Nodes	Cost
0	65	292
1	177	270
2	808	234
done	5000	228

prune68.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	10	9
done	10	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

662.0ms

10111×

body

valid