Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

sample15.0ms

Algorithm

intervals

Results

5.0ms	256×	pre	80	true
4.0ms	256×	body	80	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	127	5
1	127	5

prune2.0ms

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: 64.0b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

49.2b

(- (* 1.7e+308 t) 1.7e+308)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 11

Calls

1 calls:

4.0ms

(- (* 1.7e+308 t) 1.7e+308)

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(- (* 1.7e+308 t) 1.7e+308)

simplify70.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4900	107
1	4900	107

prune22.0ms

Filtered

10 candidates to 14 candidates (-40.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	1	15

Merged error: 51.4b

Counts

15 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

51.4b

(/ (* 1.7e+308 (- (* 1.7e+308 (* t t)) 1.7e+308)) (+ 1.7e+308 (* 1.7e+308 t)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `associate-/r/` `associate-/l/`
1×	`pow1` `flip3--` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `flip-+` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

10.0ms

(/ (* 1.7e+308 (- (* 1.7e+308 (* t t)) 1.7e+308)) (+ 1.7e+308 (* 1.7e+308 t)))

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

(/ (* 1.7e+308 (- (* 1.7e+308 (* t t)) 1.7e+308)) (+ 1.7e+308 (* 1.7e+308 t)))

simplify35.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4989	415
1	4989	415

prune56.0ms

Filtered

21 candidates to 28 candidates (-33.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	24	4	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	4	29

Merged error: 0.3b

Counts

29 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ (* t t) -1)
0.2b	(/ 1 (+ t 1))
0.3b	(* (/ 1 (+ t 1)) (+ (* t t) -1))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
26×	`times-frac`
21×	`add-cube-cbrt`
18×	`associate-l`
16×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`distribute-lft-out`
6×	`pow1`
5×	`flip3-+` `flip-+` `add-log-exp`
4×	`div-exp` `associate-r` `prod-exp` `associate-/r*` `associate-/r/`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `difference-of-sqr--1` `frac-times` `rec-exp` `1-exp` `associate-*r/` `cbrt-unprod` `div-inv`
1×	`+-commutative` `distribute-rgt-in` `pow-flip` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `inv-pow`

Counts

3 → 96

Calls

3 calls:

4.0ms	(+ (* t t) -1)
5.0ms	(/ 1 (+ t 1))
12.0ms	(* (/ 1 (+ t 1)) (+ (* t t) -1))

series12.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ (* t t) -1)
2.0ms	(/ 1 (+ t 1))
7.0ms	(* (/ 1 (+ t 1)) (+ (* t t) -1))

simplify44.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5438	805

prune126.0ms

Filtered

70 candidates to 105 candidates (-50.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	3	0	3
Picked	1	0	1
Done	0	0	0
Total	108	1	109

Merged error: 0b

Counts

109 → 1

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Merged error: 0b

Counts

1 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	5
1	21	5

end0.0ms

sample324.0ms

Algorithm

intervals

Results

136.0ms	8000×	body	80	valid
95.0ms	8000×	pre	80	true

Details

analyze2.0ms

sample15.0ms

simplify7.0ms

prune2.0ms

localize3.0ms

rewrite4.0ms

series4.0ms

simplify70.0ms

prune22.0ms

localize8.0ms

rewrite11.0ms

series12.0ms

simplify35.0ms

prune56.0ms

localize7.0ms

rewrite24.0ms

series12.0ms

simplify44.0ms

prune126.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune2.0ms

simplify1.0ms

end0.0ms

sample324.0ms

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