Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify93.0ms

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

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))))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 124

Calls

4 calls:

53.0ms	(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
45.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
24.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
21.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series317.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
83.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
54.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
57.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify69.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	434	1956
1	1768	1847
2	5001	1774

prune226.0ms

Filtered

136 candidates to 88 candidates (35.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	135	2	137

Merged error: 0b

Counts

137 → 2

localize24.0ms

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))))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `times-frac` `add-log-exp` `difference-of-squares`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`

Counts

4 → 64

Calls

4 calls:

24.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
21.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
21.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
23.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series203.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify58.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	131	740
1	321	680
2	1443	672
3	5001	672

prune248.0ms

Filtered

76 candidates to 60 candidates (21.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	77	1	78

Merged error: 0b

Counts

78 → 1

localize29.0ms

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))))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `times-frac` `add-log-exp` `difference-of-squares`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`

Counts

4 → 64

Calls

4 calls:

20.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
24.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
21.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
20.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series201.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
50.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
48.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
52.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify55.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	131	740
1	321	680
2	1443	672
3	5001	672

prune292.0ms

Filtered

76 candidates to 60 candidates (21.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	1	77

Merged error: 0b

Counts

77 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	57
1	31	57

end0.0ms

sample408.0ms

Algorithm

intervals

Results

313.0ms

8000×

body

valid