Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

275×

body

valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	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: 2.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.2b	(* y (/ (- z t) (- a t)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- a t))))
8.0ms	(/ (- z t) (- a t))
14.0ms	(* y (/ (- z t) (- a t)))

series198.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(+ x (* y (/ (- z t) (- a t))))
51.0ms	(/ (- z t) (- a t))
70.0ms	(* y (/ (- z t) (- a t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	421	747
1	1657	704
2	5001	704

prune244.0ms

Filtered

122 candidates to 83 candidates (68.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	117	5	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	117	6	123

Merged error: 0b

Counts

123 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
0.0b	(/ (- a t) (- z t))
0.5b	(/ 1 (/ (- a t) (- z t)))
2.2b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

3.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
7.0ms	(/ (- a t) (- z t))
11.0ms	(/ 1 (/ (- a t) (- z t)))
33.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series481.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
45.0ms	(/ (- a t) (- z t))
136.0ms	(/ 1 (/ (- a t) (- z t)))
148.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify112.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	950	2836
1	4759	2547
2	5001	2261

prune526.0ms

Filtered

350 candidates to 184 candidates (52.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	349	1	350
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	351	5	356

Merged error: 0b

Counts

356 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
2.2b	(/ y (/ (- a t) (- z t)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

25.0ms	(+ x (/ y (/ (- a t) (- z t))))
8.0ms	(/ (- a t) (- z t))
11.0ms	(/ y (/ (- a t) (- z t)))

series367.0ms

Counts

3 → 9

Calls

3 calls:

114.0ms	(+ x (/ y (/ (- a t) (- z t))))
52.0ms	(/ (- a t) (- z t))
201.0ms	(/ y (/ (- a t) (- z t)))

simplify83.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	697	1888
1	3051	1835
2	5001	1832

prune404.0ms

Filtered

215 candidates to 144 candidates (67.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	214	1	215
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	215	5	220

Merged error: 0b

Counts

220 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ (- a t) (- z t)) y)))
0.0b	(/ (- a t) (- z t))
0.5b	(/ 1 (/ (/ (- a t) (- z t)) y))
1.9b	(/ (/ (- a t) (- z t)) y)

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

1181×	`times-frac`
797×	`*-un-lft-identity`
794×	`add-sqr-sqrt`
450×	`add-cube-cbrt`
172×	`distribute-lft-out--` `difference-of-squares`
105×	`associate-/r*`
39×	`associate-/l*`
35×	`associate-/r/`
32×	`add-exp-log`
24×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

4 → 624

Calls

4 calls:

70.0ms	(+ x (/ 1 (/ (/ (- a t) (- z t)) y)))
8.0ms	(/ (- a t) (- z t))
29.0ms	(/ 1 (/ (/ (- a t) (- z t)) y))
13.0ms	(/ (/ (- a t) (- z t)) y)

series462.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(+ x (/ 1 (/ (/ (- a t) (- z t)) y)))
46.0ms	(/ (- a t) (- z t))
161.0ms	(/ 1 (/ (/ (- a t) (- z t)) y))
88.0ms	(/ (/ (- a t) (- z t)) y)

simplify299.0ms

Algorithm

egg-herbie

Counts

636 → 636

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1824	7507
1	5002	6289

prune846.0ms

Filtered

636 candidates to 289 candidates (45.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	636	0	636
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	636	5	641

Merged error: 0b

Counts

641 → 5

Details

sample22.0ms

simplify49.0ms

prune2.0ms

localize9.0ms

rewrite29.0ms

series198.0ms

simplify46.0ms

prune244.0ms

localize9.0ms

rewrite74.0ms

series481.0ms

simplify112.0ms

prune526.0ms

localize8.0ms

rewrite58.0ms

series367.0ms

simplify83.0ms

prune404.0ms

localize10.0ms

rewrite173.0ms

series462.0ms

simplify299.0ms

prune846.0ms

regimes240.0ms

bsearch2.0ms

Profiling

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5