Details

sample771.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.990845%

Results

18.0ms

256×

body

valid

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	14
1	37	14
2	84	14
3	252	14
4	623	14
5	1413	14
6	3814	14
7	5001	14

prune3.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
0.0b	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
2.9b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.9b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

115×	`times-frac`
113×	`add-sqr-sqrt`
103×	`*-un-lft-identity`
57×	`add-cube-cbrt`
18×	`difference-of-squares`
14×	`distribute-lft-out`
13×	`associate-/l*`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`swap-sqr`
8×	`flip3--` `flip--` `distribute-lft-out--` `add-log-exp`
7×	`associate-r` `associate-l`
6×	`div-inv`
4×	`frac-times` `sub-neg` `associate-/r*`
3×	`cbrt-undiv` `div-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `associate-r/` `associate-l/` `associate-/r/`
1×	`pow2` `frac-2neg` `flip3-+` `pow-plus` `pow-prod-down` `prod-exp` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`

Counts

4 → 169

Calls

4 calls:

10.0ms	(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
46.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
20.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
22.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series15.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
4.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
3.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify85.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	661	2029
1	2931	1895
2	5002	1844

prune378.0ms

Filtered

125 candidates to 181 candidates (-44.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	180	1	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	181	1	182

Merged error: 0b

Counts

182 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (log (exp (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
1.7b	(log (exp (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
2.9b	(- 2.0 (log (exp (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
2.9b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

94×	`times-frac`
86×	`*-un-lft-identity`
74×	`add-sqr-sqrt`
61×	`log-pow`
58×	`exp-prod`
50×	`add-cube-cbrt`
13×	`distribute-lft-out`
9×	`pow1`
8×	`flip3--` `flip--` `difference-of-squares`
7×	`associate-l` `add-log-exp`
6×	`add-exp-log` `log-prod` `associate-r` `add-cbrt-cube` `distribute-lft-out--`
5×	`div-inv`
4×	`frac-times` `sub-neg`
3×	`associate--r+`
2×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `associate-r/` `associate-l/` `associate-/r/`
1×	`flip3-+` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

48.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (log (exp (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
18.0ms	(log (exp (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
28.0ms	(- 2.0 (log (exp (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
19.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series18.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (log (exp (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
3.0ms	(log (exp (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
4.0ms	(- 2.0 (log (exp (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
7.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify61.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	626	1531
1	2264	1332
2	5001	1309

prune331.0ms

Filtered

112 candidates to 153 candidates (-36.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	153	1	154

Merged error: 0b

Counts

154 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	16
1	18	16

end0.0ms

sample1.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.990845%

Results

571.0ms

8000×

body

valid

Details

sample771.0ms

simplify94.0ms

prune3.0ms

localize11.0ms

rewrite106.0ms

series15.0ms

simplify85.0ms

prune378.0ms

localize18.0ms

rewrite120.0ms

series18.0ms

simplify61.0ms

prune331.0ms

simplify1.0ms

end0.0ms

sample1.5s

Profiling