Details

analyze1.1s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	90.4%	9.6%	9
0%	45.2%	54.8%	10
0%	45.2%	54.8%	11
0%	45.2%	54.8%	12
0%	45.2%	54.8%	13
0%	44.4%	55.6%	14

sample114.0ms

Algorithm

intervals

Results

29.0ms	367×	body	80	nan
18.0ms	227×	body	80	valid
14.0ms	170×	body	80	invalid
4.0ms	9×	body	640	valid
3.0ms	8×	body	640	invalid
3.0ms	9×	body	320	valid
2.0ms	2×	body	1280	valid
2.0ms	9×	body	160	valid
1.0ms	5×	body	320	invalid
1.0ms	1×	body	1280	invalid
0.0ms	3×	body	160	invalid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5792	17

prune19.0ms

Filtered

1 candidates to 1 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: 1.4b

Counts

2 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.0b	(- (log z) t)
0.2b	(* y (- (log z) t))
6.6b	(log (- 1.0 z))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

30×	`log-prod`
26×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`associate--l+`
14×	`distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in`
12×	`associate-+r+`
10×	`associate-*r/`
9×	`pow1`
8×	`associate-+l+`
7×	`add-exp-log` `sub-neg` `flip3--` `flip--` `distribute-lft-out--` `add-log-exp`
6×	`associate-r` `add-cbrt-cube`
5×	`difference-of-squares`
4×	`frac-add`
3×	`associate-l` `log-pow`
2×	`log-div`
1×	`+-commutative` `flip3-+` `diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

12.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.0ms	(- (log z) t)
8.0ms	(* y (- (log z) t))
4.0ms	(log (- 1.0 z))

series76.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
10.0ms	(- (log z) t)
16.0ms	(* y (- (log z) t))
3.0ms	(log (- 1.0 z))

simplify49.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4882	1383
1	4882	1383

prune203.0ms

Filtered

84 candidates to 111 candidates (-32.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	112	1	113

Merged error: 0.0b

Counts

113 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.0b	(* a (- (- (log 1.0) (* z (+ 1.0 (/ (* z 1/2) (* 1.0 1.0))))) b))
0.0b	(* z (+ 1.0 (/ (* z 1/2) (* 1.0 1.0))))
0.2b	(* y (- (log z) t))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
23×	`associate--l+`
15×	`add-cube-cbrt` `log-prod` `associate-r`
12×	`pow1`
10×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
9×	`associate-l`
7×	`sub-neg`
6×	`associate-*r/`
5×	`distribute-lft-out--` `add-log-exp`
3×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
2×	`log-pow`
1×	`flip3-+` `diff-log` `flip-+` `distribute-lft-out`

Counts

4 → 103

Calls

4 calls:

6.0ms	(- (log z) t)
9.0ms	(* a (- (- (log 1.0) (* z (+ 1.0 (/ (* z 1/2) (* 1.0 1.0))))) b))
7.0ms	(* z (+ 1.0 (/ (* z 1/2) (* 1.0 1.0))))
8.0ms	(* y (- (log z) t))

series50.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (log z) t)
19.0ms	(* a (- (- (log 1.0) (* z (+ 1.0 (/ (* z 1/2) (* 1.0 1.0))))) b))
6.0ms	(* z (+ 1.0 (/ (* z 1/2) (* 1.0 1.0))))
15.0ms	(* y (- (log z) t))

simplify40.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5690	1405

prune194.0ms

Filtered

78 candidates to 115 candidates (-47.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	115	1	116

Merged error: 0.0b

Counts

116 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	28
1	30	28

end0.0ms

analyze870.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	90.4%	9.6%	9
0%	45.2%	54.8%	10
0%	45.2%	54.8%	11
0%	45.2%	54.8%	12
0%	45.2%	54.8%	13
0%	44.4%	55.6%	14

sample3.1s

Algorithm

intervals

Results

872.0ms	10827×	body	80	nan
592.0ms	7230×	body	80	valid
429.0ms	5252×	body	80	invalid
124.0ms	289×	body	640	valid
70.0ms	257×	body	320	valid
56.0ms	130×	body	640	invalid
36.0ms	43×	body	1280	valid
31.0ms	181×	body	160	valid
31.0ms	117×	body	320	invalid
14.0ms	88×	body	160	invalid
14.0ms	17×	body	1280	invalid

Details

analyze1.1s

sample114.0ms

simplify38.0ms

prune19.0ms

localize18.0ms

rewrite33.0ms

series76.0ms

simplify49.0ms

prune203.0ms

localize21.0ms

rewrite34.0ms

series50.0ms

simplify40.0ms

prune194.0ms

simplify1.0ms

end0.0ms

analyze870.0ms

sample3.1s

Profiling