Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

394×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	25	5
2	27	5
3	27	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (* x y) (* z t)) (* a b))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

3.0ms	(+ (* x y) (* z t))
5.0ms	(+ (+ (* x y) (* z t)) (* a b))

series91.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* x y) (* z t))
57.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify78.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	187	190
1	747	179
2	2644	177
3	5001	177

prune61.0ms

Filtered

30 candidates to 24 candidates (80.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	2	31

Merged error: 0.0b

Counts

31 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.3b	(pow (+ (+ (* x y) (* z t)) (* a b)) 3)
37.6b	(cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
11×	`add-log-exp`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `sum-log` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `associate-+l+` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 72

Calls

4 calls:

4.0ms	(+ (* x y) (* z t))
8.0ms	(+ (+ (* x y) (* z t)) (* a b))
6.0ms	(pow (+ (+ (* x y) (* z t)) (* a b)) 3)
6.0ms	(cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3))

series3.8s

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (* x y) (* z t))
56.0ms	(+ (+ (* x y) (* z t)) (* a b))
3.7s	(pow (+ (+ (* x y) (* z t)) (* a b)) 3)
54.0ms	(cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3))

simplify56.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	342	705
1	1648	668
2	5001	662

prune172.0ms

Filtered

84 candidates to 53 candidates (63.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	83	3	86

Merged error: 0.0b

Counts

86 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (pow (+ (+ (* x y) (* z t)) (* a b)) 3) 3)
0.3b	(pow (+ (+ (* x y) (* z t)) (* a b)) 3)
14.9b	(cbrt (pow (pow (+ (+ (* x y) (* z t)) (* a b)) 3) 3))
37.6b	(cbrt (cbrt (pow (pow (+ (+ (* x y) (* z t)) (* a b)) 3) 3)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

93×	`cbrt-prod`
57×	`unpow-prod-down` `cube-prod`
29×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`cube-div`
10×	`cube-mult` `unpow3` `sqr-pow`
7×	`add-exp-log`
6×	`pow-unpow` `cbrt-div` `add-cbrt-cube`
5×	`pow1` `pow-exp`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`pow-to-exp`
2×	`pow-pow` `pow1/3` `rem-cube-cbrt`
1×	`rem-cbrt-cube`

Counts

4 → 154

Calls

4 calls:

9.0ms	(pow (pow (+ (+ (* x y) (* z t)) (* a b)) 3) 3)
6.0ms	(pow (+ (+ (* x y) (* z t)) (* a b)) 3)
11.0ms	(cbrt (pow (pow (+ (+ (* x y) (* z t)) (* a b)) 3) 3))
10.0ms	(cbrt (cbrt (pow (pow (+ (+ (* x y) (* z t)) (* a b)) 3) 3)))

series9.9m

Calls

3 calls:

3.7s	(pow (+ (+ (* x y) (* z t)) (* a b)) 3)
3.7s	(cbrt (pow (pow (+ (+ (* x y) (* z t)) (* a b)) 3) 3))
54.0ms	(cbrt (cbrt (pow (pow (+ (+ (* x y) (* z t)) (* a b)) 3) 3)))