Details

sample109.0ms

Algorithm

intervals

Results

43.0ms	829×	body	80	nan
10.0ms	185×	body	80	valid
9.0ms	32×	body	640	valid
6.0ms	7×	body	1280	valid
4.0ms	19×	body	320	valid
2.0ms	14×	body	160	valid

simplify130.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	9
1	49	9
2	118	9
3	256	9
4	533	9
5	1250	9
6	2637	9
7	4297	9
8	4573	9
9	4588	9
10	4588	9

prune3.0ms

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: 6.8b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.2b	(* (- x 1.0) (log y))
5.0b	(log (- 1.0 y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

9.0ms	(* (- z 1.0) (log (- 1.0 y)))
11.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
7.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

series298.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (- z 1.0) (log (- 1.0 y)))
155.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
54.0ms	(* (- x 1.0) (log y))
44.0ms	(log (- 1.0 y))

simplify51.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	498	803
1	1805	714
2	5001	701

prune282.0ms

Filtered

106 candidates to 75 candidates (70.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	99	7	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	7	107

Merged error: 0.0b

Counts

107 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 129

Calls

4 calls:

11.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
13.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
12.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
7.0ms	(* (- x 1.0) (log y))

series520.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
243.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
67.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
59.0ms	(* (- x 1.0) (log y))

simplify124.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	888	2535
1	4674	2460
2	5001	2448

prune578.0ms

Filtered

141 candidates to 107 candidates (75.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	138	3	141
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	140	8	148

Merged error: 0.0b

Counts

148 → 8

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 148

Calls

4 calls:

11.0ms	(+ (* (log (sqrt y)) (- x 1.0)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
13.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
7.0ms	(* (log (sqrt y)) (- x 1.0))
8.0ms	(* (- x 1.0) (log (sqrt y)))

series395.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(+ (* (log (sqrt y)) (- x 1.0)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
68.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
63.0ms	(* (log (sqrt y)) (- x 1.0))
62.0ms	(* (- x 1.0) (log (sqrt y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	922	2489
1	5001	2404

prune704.0ms

Filtered

160 candidates to 114 candidates (71.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	160	8	168

Merged error: 0.0b

Counts

168 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 1.0) (log y))
7.9b	(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
9.3b	(log (+ (sqrt 1.0) (sqrt y)))
9.4b	(log (- (sqrt 1.0) (sqrt y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

34×	`log-prod` `*-un-lft-identity`
32×	`add-sqr-sqrt`
16×	`sqrt-prod`
13×	`pow1`
12×	`add-cube-cbrt`
9×	`associate-+r+` `difference-of-squares`
8×	`add-exp-log` `log-div` `distribute-lft-out`
7×	`log-pow`
6×	`add-cbrt-cube`
5×	`associate-+l+` `associate-l` `distribute-lft-out--`
4×	`associate-r` `add-log-exp`
3×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `flip3-+` `flip--` `flip-+`
2×	`associate-+l-` `associate-+r-` `rem-log-exp` `associate-*l/`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

7.0ms	(* (- x 1.0) (log y))
14.0ms	(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
5.0ms	(log (+ (sqrt 1.0) (sqrt y)))
6.0ms	(log (- (sqrt 1.0) (sqrt y)))

series647.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (- x 1.0) (log y))
297.0ms	(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
140.0ms	(log (+ (sqrt 1.0) (sqrt y)))
146.0ms	(log (- (sqrt 1.0) (sqrt y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	427	1039
1	1395	950
2	5002	897

prune328.0ms

Filtered

110 candidates to 73 candidates (66.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	110	8	118

Merged error: 0.0b

Counts

118 → 8

regimes507.0ms

Accuracy

87.4% (0.8b remaining)

Error of 1.0b against oracle of 0.2b and baseline of 6.7b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	99
1	79	99

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.2s	24134×	body	80	nan
326.0ms	5884×	body	80	valid
238.0ms	789×	body	640	valid
160.0ms	264×	body	1280	valid
126.0ms	670×	body	320	valid
48.0ms	409×	body	160	valid

Details

sample109.0ms

simplify130.0ms

prune3.0ms

localize13.0ms

rewrite32.0ms

series298.0ms

simplify51.0ms

prune282.0ms

localize23.0ms

rewrite49.0ms

series520.0ms

simplify124.0ms

prune578.0ms

localize27.0ms

rewrite46.0ms

series395.0ms

simplify54.0ms

prune704.0ms

localize22.0ms

rewrite35.0ms

series647.0ms

simplify44.0ms

prune328.0ms

regimes507.0ms

bsearch3.0ms

simplify2.0ms

end0.0ms

sample3.0s

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