Details

sample233.0ms

Algorithm

intervals

Results

106.0ms	1259×	body	80	nan
41.0ms	400×	body	80	valid
5.0ms	15×	body	320	valid
5.0ms	9×	body	640	valid
4.0ms	4×	body	1280	valid
3.0ms	14×	body	160	valid

simplify41.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize17.0ms

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)))
0.1b	(* y (- (log z) t))
5.2b	(log (- 1.0 z))

rewrite48.0ms

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:

16.0ms	(* a (- (log (- 1.0 z)) b))
13.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
12.0ms	(* y (- (log z) t))
3.0ms	(log (- 1.0 z))

series382.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* a (- (log (- 1.0 z)) b))
186.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
74.0ms	(* y (- (log z) t))
48.0ms	(log (- 1.0 z))

simplify77.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	678	1058
1	2743	995
2	5002	986

prune481.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.0b	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
0.0b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
0.1b	(* y (- (log z) t))

rewrite521.0ms

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:

3.0ms	(- (log z) t)
404.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
97.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
12.0ms	(* y (- (log z) t))

series474.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (log z) t)
102.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
233.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
75.0ms	(* y (- (log z) t))

simplify79.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	598	1562
1	2537	1477
2	5002	1473

prune585.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	16
1	32	16

end0.0ms

sample7.1s

Algorithm

intervals

Results

3.4s	40591×	body	80	nan
1.3s	12702×	body	80	valid
182.0ms	352×	body	640	valid
121.0ms	355×	body	320	valid
62.0ms	286×	body	160	valid
59.0ms	64×	body	1280	valid