Details

analyze895.0ms

Algorithm: search

sample102.0ms

Algorithm

intervals

Results

25.0ms	302×	body	80	nan
23.0ms	233×	body	80	valid
13.0ms	151×	body	80	invalid
3.0ms	7×	body	640	valid
3.0ms	10×	body	320	valid
2.0ms	2×	body	1280	invalid
1.0ms	5×	body	320	invalid
1.0ms	3×	body	640	invalid
1.0ms	5×	body	160	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	160	invalid

simplify35.0ms

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

prune5.0ms

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: 1.7b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- (log (- 1.0 z)) b))
0.0b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.2b	(* y (- (log z) t))
5.9b	(log (- 1.0 z))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

9.0ms	(* a (- (log (- 1.0 z)) b))
13.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
7.0ms	(* y (- (log z) t))
3.0ms	(log (- 1.0 z))

series64.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* a (- (log (- 1.0 z)) b))
37.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
13.0ms	(* y (- (log z) t))
3.0ms	(log (- 1.0 z))

simplify73.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	696	1071
1	2712	1006
2	5002	983

prune193.0ms

Filtered

93 candidates to 137 candidates (-47.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	137	1	138

Merged error: 0.0b

Counts

138 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

21×	`log-prod` `associate--l+`
19×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-log-exp`
13×	`distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in`
10×	`associate-+l+`
8×	`pow1` `associate-+r+`
6×	`add-exp-log` `sub-neg` `flip3--` `associate-r/` `associate-r*` `add-cbrt-cube` `flip--`
5×	`sum-log`
4×	`frac-add` `distribute-lft-out--`
3×	`diff-log` `associate-l`
2×	`+-commutative` `flip3-+` `log-pow` `flip-+` `difference-of-squares`
1×	`associate-+r-` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

4.0ms	(- (log z) t)
4.0ms	(+ (* a b) (* 1.0 (* a z)))
13.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))
7.0ms	(* y (- (log z) t))

series66.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (log z) t)
11.0ms	(+ (* a b) (* 1.0 (* a z)))
33.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))
13.0ms	(* y (- (log z) t))

simplify70.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	591	1015
1	2483	953
2	5002	923

prune153.0ms

Filtered

75 candidates to 110 candidates (-46.7%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Merged error: 0.0b

Counts

111 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	13
1	28	13

end0.0ms

analyze900.0ms

Algorithm: search

sample3.2s

Algorithm

intervals

Results

913.0ms	10658×	body	80	nan
654.0ms	7302×	body	80	valid
451.0ms	5228×	body	80	invalid
105.0ms	236×	body	640	valid
73.0ms	246×	body	320	valid
53.0ms	117×	body	640	invalid
50.0ms	57×	body	1280	valid
39.0ms	136×	body	320	invalid
29.0ms	159×	body	160	valid
16.0ms	88×	body	160	invalid
16.0ms	20×	body	1280	invalid

Details

analyze895.0ms

sample102.0ms

simplify35.0ms

prune5.0ms

localize16.0ms

rewrite36.0ms

series64.0ms

simplify73.0ms

prune193.0ms

localize23.0ms

rewrite31.0ms

series66.0ms

simplify70.0ms

prune153.0ms

simplify1.0ms

end0.0ms

analyze900.0ms

sample3.2s

Profiling