Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	25
1	33	25
2	88	25
3	292	25
4	754	25
5	1756	25
6	5001	25

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: 0.3b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

2.8b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.8b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.8b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.8b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite92.0ms

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:

23.0ms	(- 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))))
25.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series182.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
44.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
47.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
45.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify57.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	137	740
1	352	680
2	1683	672
3	5001	672

prune185.0ms

Filtered

76 candidates to 60 candidates (78.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.3b

Counts

77 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
2.8b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.8b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.8b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

107×	`add-sqr-sqrt`
41×	`difference-of-squares`
33×	`times-frac`
24×	`unpow-prod-down` `cube-prod`
20×	`*-un-lft-identity`
12×	`add-log-exp` `sqr-pow`
8×	`distribute-lft-out--`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--`
1×	`difference-cubes`

Counts

4 → 98

Calls

4 calls:

76.0ms	(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
20.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
23.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
22.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series207.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
44.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
46.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
47.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify47.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	321	1369
1	1001	1309
2	5001	1303

prune338.0ms

Filtered

110 candidates to 74 candidates (67.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	1	111

Merged error: 0.3b

Counts

111 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
2.8b	(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
2.8b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.8b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

174×	`add-sqr-sqrt`
70×	`difference-of-squares`
54×	`times-frac`
48×	`unpow-prod-down` `cube-prod`
28×	`*-un-lft-identity`
24×	`sqr-pow`
12×	`distribute-lft-out--` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--`
2×	`difference-cubes`

Counts

4 → 132

Calls

4 calls:

76.0ms	(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
78.0ms	(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
20.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
21.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series235.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
71.0ms	(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
45.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
49.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify52.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	321	2046
1	1001	1986
2	5001	1982

prune457.0ms

Filtered

144 candidates to 88 candidates (61.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	144	1	145

Merged error: 0.3b

Counts

145 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	55
1	28	55

end0.0ms

sample385.0ms

Algorithm

intervals

Results

292.0ms

8000×

body

valid