Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	14
1	38	14
2	87	14
3	274	14
4	737	14
5	1801	14
6	5002	14

prune2.0ms

Filtered

1 candidates to 0 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 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 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)))))
4.7b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.7b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

1115×	`*-un-lft-identity`
1092×	`times-frac`
813×	`add-sqr-sqrt`
757×	`add-cube-cbrt`
696×	`prod-diff`
176×	`distribute-rgt-in` `distribute-lft-in`
168×	`distribute-lft-out`
61×	`div-inv`
26×	`associate-/r/`
18×	`difference-of-squares`
15×	`associate-l`
13×	`flip3-+` `flip-+`
12×	`distribute-lft-out--`
11×	`pow1`
9×	`swap-sqr`
8×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `add-log-exp`
7×	`associate-r`
6×	`fma-neg` `associate-/r*`
4×	`expm1-log1p-u` `frac-times` `sub-neg` `log1p-expm1-u`
3×	`associate-/l*`
2×	`diff-log` `associate-r/` `associate-l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `pow-plus` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

4 → 834

Calls

4 calls:

57.0ms	(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
66.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
28.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
32.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series307.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
73.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
50.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
58.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify327.0ms

Algorithm

egg-herbie

Counts

846 → 846

Iterations

Useful iterations: 1 (45.0ms)

Iter	Nodes	Cost
0	1929	36105
1	5001	33922

prune1.5s

Filtered

846 candidates to 317 candidates (62.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	844	2	846
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	845	2	847

Merged error: 0b

Counts

847 → 2

localize21.0ms

Local error

Found 4 expressions with local error:

4.7b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.7b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.7b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.7b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

1068×	`times-frac`
1064×	`*-un-lft-identity`
780×	`add-sqr-sqrt`
744×	`add-cube-cbrt`
696×	`prod-diff`
156×	`distribute-lft-out`
60×	`div-inv`
24×	`associate-/r/`
12×	`flip3-+` `fma-neg` `flip-+` `add-log-exp` `difference-of-squares`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--`

Counts

4 → 780

Calls

4 calls:

30.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
27.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
27.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
30.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series212.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
52.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
50.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
59.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify319.0ms

Algorithm

egg-herbie

Counts

792 → 792

Iterations

Useful iterations: 2 (102.0ms)

Iter	Nodes	Cost
0	1264	30716
1	4896	21876
2	5001	21860

prune1.9s

Filtered

792 candidates to 312 candidates (60.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	791	1	792
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	793	1	794

Merged error: 0b

Counts

794 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

4.7b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.7b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.7b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.7b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

1068×	`times-frac`
1064×	`*-un-lft-identity`
780×	`add-sqr-sqrt`
744×	`add-cube-cbrt`
696×	`prod-diff`
156×	`distribute-lft-out`
60×	`div-inv`
24×	`associate-/r/`
12×	`flip3-+` `fma-neg` `flip-+` `add-log-exp` `difference-of-squares`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--`

Counts

4 → 780

Calls

4 calls:

33.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
29.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
31.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
27.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series217.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
54.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
52.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
58.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify321.0ms

Algorithm

egg-herbie

Counts

792 → 792

Iterations

Useful iterations: 2 (102.0ms)

Iter	Nodes	Cost
0	1264	30716
1	4896	21876
2	5001	21860

prune2.2s

Filtered

792 candidates to 312 candidates (60.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	792	0	792
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	792	1	793

Merged error: 0b

Counts

793 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	57
1	31	57

end0.0ms

sample421.0ms

Algorithm

intervals

Results

323.0ms

8000×

body

valid