Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

348×

body

valid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (61.0ms)

Iter	Nodes	Cost
0	20	5
1	47	5
2	146	5
3	356	5
4	750	5
5	1604	5
6	2577	5
7	5001	4

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`prod-diff`
12×	`add-cube-cbrt`
11×	`associate--l+`
7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`fma-neg`
3×	`times-frac` `diff-log` `associate-/r*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `sub-neg` `flip3--` `associate-*r/` `div-exp` `flip--` `log1p-expm1-u` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`associate--l-` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

2 → 62

Calls

2 calls:

10.0ms	(- (- x y) (* z 0.5))
13.0ms	(/ (* 4.0 (- (- x y) (* z 0.5))) z)

series64.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(- (- x y) (* z 0.5))
43.0ms	(/ (* 4.0 (- (- x y) (* z 0.5))) z)

simplify38.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	299	441
1	1212	345
2	5001	331

prune141.0ms

Filtered

68 candidates to 52 candidates (76.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	68	2	70

Merged error: 0.0b

Counts

70 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) z)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
11×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 40

Calls

1 calls:

7.0ms

(/ (- x y) z)

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(/ (- x y) z)

simplify109.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	160	202
1	447	192
2	1529	192
3	4891	191
4	5001	191

prune78.0ms

Filtered

43 candidates to 31 candidates (72.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	44	1	45

Merged error: 0b

Counts

45 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

253×	`times-frac`
204×	`add-sqr-sqrt`
200×	`*-un-lft-identity`
192×	`add-cube-cbrt`
169×	`prod-diff`
29×	`div-inv`
13×	`fma-neg`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `frac-sub` `add-cbrt-cube` `flip--` `log1p-expm1-u` `sub-div`

Counts

1 → 207

Calls

1 calls:

17.0ms

(- (/ x z) (/ y z))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(- (/ x z) (/ y z))

simplify83.0ms

Algorithm

egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	689	4514
1	1779	3192
2	5002	2769

prune194.0ms

Filtered

210 candidates to 62 candidates (29.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	210	0	210
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	210	1	211

Merged error: 0b

Counts

211 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5

end0.0ms

sample474.0ms

Algorithm

intervals

Results

272.0ms

10018×

body

valid