Details

analyze868.0ms

Algorithm: search

sample94.0ms

Algorithm

intervals

Results

23.0ms	284×	body	80	nan
19.0ms	233×	body	80	valid
12.0ms	155×	body	80	invalid
3.0ms	13×	body	320	valid
2.0ms	4×	body	640	valid
2.0ms	2×	body	1280	valid
1.0ms	5×	body	320	invalid
1.0ms	4×	body	160	valid
1.0ms	4×	body	160	invalid
0.0ms	1×	body	640	invalid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	10
1	58	10
2	129	10
3	318	10
4	1073	10
5	5001	10

prune9.0ms

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: 1.0b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.0b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.2b	(* y (- (log z) t))
7.0b	(log (- 1.0 z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

30×	`log-prod`
26×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`associate--l+`
17×	`distribute-rgt-in` `distribute-lft-in`
14×	`add-cube-cbrt` `associate-+r+`
10×	`associate-+l+` `associate-*r/`
9×	`pow1`
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 → 106

Calls

4 calls:

4.0ms	(- (log z) t)
12.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
7.0ms	(* y (- (log z) t))
3.0ms	(log (- 1.0 z))

series68.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (log z) t)
42.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
14.0ms	(* y (- (log z) t))
3.0ms	(log (- 1.0 z))

simplify61.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	615	897
1	2222	843
2	5001	813

prune178.0ms

Filtered

83 candidates to 118 candidates (-42.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	118	1	119

Merged error: 0.0b

Counts

119 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

19.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
4.0ms	(- (log z) t)
23.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
8.0ms	(* y (- (log z) t))

series102.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
9.0ms	(- (log z) t)
59.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
14.0ms	(* y (- (log z) t))

simplify73.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	616	1574
1	2486	1490
2	5001	1463

prune289.0ms

Filtered

89 candidates to 140 candidates (-57.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	140	1	141

Merged error: 0.0b

Counts

141 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	16
1	32	16

end0.0ms

analyze890.0ms

Algorithm: search

sample3.3s

Algorithm

intervals

Results

912.0ms	10732×	body	80	nan
632.0ms	7228×	body	80	valid
457.0ms	5298×	body	80	invalid
111.0ms	243×	body	640	valid
85.0ms	289×	body	320	valid
53.0ms	63×	body	1280	valid
50.0ms	112×	body	640	invalid
37.0ms	132×	body	320	invalid
32.0ms	177×	body	160	valid
19.0ms	96×	body	160	invalid
17.0ms	20×	body	1280	invalid

Details

analyze868.0ms

sample94.0ms

simplify38.0ms

prune9.0ms

localize17.0ms

rewrite31.0ms

series68.0ms

simplify61.0ms

prune178.0ms

localize23.0ms

rewrite59.0ms

series102.0ms

simplify73.0ms

prune289.0ms

simplify1.0ms

end0.0ms

analyze890.0ms

sample3.3s

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