Details

sample181.0ms

Algorithm

intervals

Results

73.0ms	1280×	body	80	nan
25.0ms	371×	body	80	valid
6.0ms	19×	body	640	valid
4.0ms	20×	body	320	valid
3.0ms	3×	body	1280	valid
1.0ms	5×	body	160	valid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune4.0ms

Filtered

1 candidates to 0 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: 1.7b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
0.2b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.5b	(log (- 1.0 z))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `log-prod`
24×	`*-un-lft-identity`
22×	`associate--l+`
17×	`distribute-rgt-in` `distribute-lft-in`
15×	`add-cube-cbrt`
14×	`associate-+r+`
10×	`pow1` `associate-+l+` `associate-r/` `associate-r*`
8×	`add-exp-log` `add-cbrt-cube`
6×	`sub-neg` `flip3--` `associate-l` `flip--` `add-log-exp`
5×	`distribute-lft-out--`
4×	`frac-add` `difference-of-squares`
2×	`log-div` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `rem-log-exp` `exp-sum` `sum-log` `flip-+`

Counts

4 → 107

Calls

4 calls:

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

series474.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
75.0ms	(* y (- (log z) t))
192.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
47.0ms	(log (- 1.0 z))

simplify75.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	675	1085
1	2723	1003
2	5001	985

prune408.0ms

Filtered

119 candidates to 88 candidates (73.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	113	6	119
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	6	120

Merged error: 0.3b

Counts

120 → 6

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	(* x (exp (+ (* 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))
0.5b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 129

Calls

4 calls:

19.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
21.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
7.0ms	(* y (- (log z) t))
26.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series639.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
220.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
72.0ms	(* y (- (log z) t))
245.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify89.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	677	1907
1	3019	1768
2	5001	1757

prune550.0ms

Filtered

141 candidates to 93 candidates (66.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	138	3	141
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	141	6	147

Merged error: 0b

Counts

147 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.5b	(log (- 1.0 z))
5.5b	(log (- 1.0 z))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod`
32×	`associate--l+`
28×	`associate-+r+`
26×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`distribute-rgt-in` `distribute-lft-in`
20×	`associate-+l+`
16×	`associate-*r/`
14×	`add-cube-cbrt`
10×	`flip3--` `flip--`
8×	`sub-neg` `frac-add` `add-log-exp`
6×	`pow1` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
4×	`log-div` `add-cbrt-cube`
2×	`+-commutative` `flip3-+` `rem-log-exp` `sum-log` `log-pow` `flip-+`

Counts

4 → 110

Calls

4 calls:

13.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
12.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))
4.0ms	(log (- 1.0 z))

series477.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
192.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
42.0ms	(log (- 1.0 z))
49.0ms	(log (- 1.0 z))

simplify61.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	492	1248
1	1639	1194
2	5001	1194

prune639.0ms

Filtered

122 candidates to 100 candidates (82.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	122	6	128

Merged error: 0b

Counts

128 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.5b	(log (- 1.0 z))
5.5b	(log (- 1.0 z))
5.5b	(log (- 1.0 z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

31×	`log-prod`
21×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`associate--l+`
14×	`associate-+r+`
12×	`distribute-rgt-in` `distribute-lft-in`
11×	`add-cube-cbrt`
10×	`associate-+l+`
8×	`associate-*r/`
7×	`pow1` `add-exp-log` `flip3--` `flip--`
6×	`log-div` `add-log-exp`
5×	`distribute-lft-out--` `difference-of-squares`
4×	`sub-neg` `frac-add` `add-cbrt-cube`
3×	`rem-log-exp` `log-pow`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 87

Calls

4 calls:

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

series324.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
41.0ms	(log (- 1.0 z))
48.0ms	(log (- 1.0 z))
43.0ms	(log (- 1.0 z))

simplify59.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	492	822
1	1639	785
2	5001	785

prune522.0ms

Filtered

99 candidates to 80 candidates (80.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	99	6	105

Merged error: 0b

Counts

105 → 6

regimes383.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	22
1	24	22

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.2s	40429×	body	80	nan
777.0ms	12456×	body	80	valid
142.0ms	400×	body	640	valid
86.0ms	397×	body	320	valid
55.0ms	76×	body	1280	valid
33.0ms	243×	body	160	valid