Details

sample187.0ms

Algorithm

intervals

Results

76.0ms	1378×	body	80	nan
26.0ms	421×	body	80	valid
4.0ms	11×	body	640	valid
3.0ms	14×	body	320	valid
2.0ms	3×	body	1280	valid
2.0ms	12×	body	160	valid

simplify37.0ms

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

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 1.0b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- (log (- 1.0 z)) b))
0.2b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.3b	(log (- 1.0 z))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
37×	`log-prod`
35×	`add-sqr-sqrt`
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+` `associate-l`
9×	`add-exp-log` `distribute-lft-out--`
8×	`sub-neg` `add-cbrt-cube`
7×	`flip3--` `flip--` `difference-of-squares`
6×	`add-log-exp`
4×	`frac-add` `distribute-lft-out`
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 → 129

Calls

4 calls:

9.0ms	(* a (- (log (- 1.0 z)) b))
7.0ms	(* y (- (log z) t))
28.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

series407.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* a (- (log (- 1.0 z)) b))
77.0ms	(* y (- (log z) t))
198.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
51.0ms	(log (- 1.0 z))

simplify77.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	667	1090
1	2713	1027
2	5001	1018

prune360.0ms

Filtered

141 candidates to 96 candidates (31.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	141	1	142

Merged error: 0.3b

Counts

142 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.0b	(+ (* a b) (* 1.0 (* a z)))
0.2b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

4.0ms	(- (log z) t)
19.0ms	(+ (* a b) (* 1.0 (* a z)))
7.0ms	(* y (- (log z) t))
51.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))

series352.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (log z) t)
52.0ms	(+ (* a b) (* 1.0 (* a z)))
77.0ms	(* y (- (log z) t))
163.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))

simplify82.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	572	1248
1	2523	1188
2	5001	1186

prune329.0ms

Filtered

140 candidates to 81 candidates (42.1%)

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: 0.3b

Counts

141 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	13
1	28	13

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.3s	40684×	body	80	nan
777.0ms	12571×	body	80	valid
132.0ms	364×	body	640	valid
85.0ms	399×	body	320	valid
42.0ms	316×	body	160	valid
42.0ms	57×	body	1280	valid