Details

sample100.0ms

Algorithm

intervals

Results

35.0ms	681×	body	80	nan
9.0ms	15×	body	1280	valid
9.0ms	171×	body	80	valid
8.0ms	26×	body	640	valid
6.0ms	31×	body	320	valid
2.0ms	15×	body	160	valid

simplify125.0ms

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 (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: 9.4b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`log-prod`
12×	`add-cube-cbrt`
10×	`pow1` `associate-l`
8×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate-r`
7×	`add-cbrt-cube`
5×	`distribute-lft-out--` `difference-of-squares`
4×	`associate-*l/`
3×	`flip3--` `log-pow` `flip--` `add-log-exp`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`rem-log-exp`

Counts

3 → 78

Calls

3 calls:

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

series160.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* (- z 1.0) (log (- 1.0 y)))
66.0ms	(* (- x 1.0) (log y))
48.0ms	(log (- 1.0 y))

simplify42.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	387	550
1	1400	490
2	5001	469

prune200.0ms

Filtered

87 candidates to 60 candidates (31.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	81	6	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	6	88

Merged error: 0.0b

Counts

88 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 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)))))))
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))

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
34×	`associate-l`
27×	`flip3--` `flip--`
26×	`add-sqr-sqrt`
24×	`log-prod` `associate-*l/`
21×	`distribute-lft-out`
18×	`associate-r` `distribute-lft-out--`
16×	`distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in` `frac-add`
14×	`pow1`
12×	`frac-times` `associate--l+`
10×	`associate-+r+`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`associate-+l+` `associate-*r/` `log-pow`
4×	`sub-neg`
3×	`difference-of-squares`
2×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 145

Calls

4 calls:

64.0ms	(+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))
99.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
75.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
10.0ms	(* (- x 1.0) (log y))

series424.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))
162.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
74.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
64.0ms	(* (- x 1.0) (log y))

simplify128.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	888	2450
1	4703	2378
2	5001	2369

prune628.0ms

Filtered

157 candidates to 105 candidates (33.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	149	8	157
Fresh	5	0	5
Picked	1	0	1
Done	0	0	0
Total	155	8	163

Merged error: 0.0b

Counts

163 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- x 1.0) (log y)) (- (* 0.5 (pow y 2)) (+ (* 1.0 (* z y)) (* 0.5 (* z (pow y 2))))))
0.0b	(+ (* 1.0 (* z y)) (* 0.5 (* z (pow y 2))))
0.2b	(* (- x 1.0) (log y))
7.9b	(* z (pow y 2))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

155×	`*-un-lft-identity`
74×	`associate-l`
61×	`distribute-lft-out`
42×	`distribute-lft-out--`
25×	`add-sqr-sqrt`
23×	`associate-r`
15×	`add-log-exp`
13×	`add-cube-cbrt`
12×	`log-prod`
11×	`add-exp-log`
9×	`pow1`
8×	`add-cbrt-cube`
6×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-*l/` `unswap-sqr`
5×	`flip3--` `sum-log` `flip--` `unpow2`
4×	`unpow-prod-down` `distribute-rgt-out` `frac-add` `prod-exp` `*-commutative`
3×	`+-commutative` `associate-+r-`
2×	`associate-+r+` `flip3-+` `diff-log` `pow-prod-down` `cbrt-unprod` `flip-+` `associate--r+` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-exp` `log-pow` `difference-of-squares`

Counts

4 → 137

Calls

4 calls:

81.0ms	(+ (* (- x 1.0) (log y)) (- (* 0.5 (pow y 2)) (+ (* 1.0 (* z y)) (* 0.5 (* z (pow y 2))))))
42.0ms	(+ (* 1.0 (* z y)) (* 0.5 (* z (pow y 2))))
7.0ms	(* (- x 1.0) (log y))
7.0ms	(* z (pow y 2))

series279.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(+ (* (- x 1.0) (log y)) (- (* 0.5 (pow y 2)) (+ (* 1.0 (* z y)) (* 0.5 (* z (pow y 2))))))
97.0ms	(+ (* 1.0 (* z y)) (* 0.5 (* z (pow y 2))))
62.0ms	(* (- x 1.0) (log y))
32.0ms	(* z (pow y 2))

simplify86.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	618	1539
1	2786	1440
2	5003	1426

prune329.0ms

Filtered

149 candidates to 80 candidates (46.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	143	6	149
Fresh	6	1	7
Picked	1	0	1
Done	0	0	0
Total	150	7	157

Merged error: 0.0b

Counts

157 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (* z y)) (* 0.5 (* z (pow y 2))))
0.2b	(* (log (sqrt y)) (- x 1.0))
0.2b	(* (log (sqrt y)) (- x 1.0))
7.9b	(* z (pow y 2))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

29×	`associate-r`
27×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
20×	`associate-l`
14×	`pow1`
13×	`add-exp-log`
11×	`add-cube-cbrt`
10×	`add-cbrt-cube`
7×	`unswap-sqr`
6×	`log-pow` `add-log-exp`
5×	`prod-exp` `*-commutative` `unpow2`
4×	`distribute-rgt-in` `sub-neg` `unpow-prod-down` `distribute-rgt-out` `distribute-lft-in` `associate-*r/` `distribute-lft-out`
3×	`pow-prod-down` `cbrt-unprod`
2×	`flip3--` `sqrt-pow1` `pow1/2` `flip--` `distribute-lft-out--` `difference-of-squares` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `sum-log` `flip-+`

Counts

4 → 105

Calls

4 calls:

46.0ms	(+ (* 1.0 (* z y)) (* 0.5 (* z (pow y 2))))
7.0ms	(* (log (sqrt y)) (- x 1.0))
7.0ms	(* (log (sqrt y)) (- x 1.0))
7.0ms	(* z (pow y 2))

series283.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(+ (* 1.0 (* z y)) (* 0.5 (* z (pow y 2))))
75.0ms	(* (log (sqrt y)) (- x 1.0))
75.0ms	(* (log (sqrt y)) (- x 1.0))
32.0ms	(* z (pow y 2))

simplify53.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	367	678
1	1443	613
2	5001	592

prune311.0ms

Filtered

117 candidates to 74 candidates (36.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	114	3	117
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	117	7	124

Merged error: 0b

Counts

124 → 7

regimes259.0ms

Accuracy

0% (0.1b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	24
1	30	24

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.2s	23956×	body	80	nan
312.0ms	5788×	body	80	valid
239.0ms	796×	body	640	valid
171.0ms	281×	body	1280	valid
130.0ms	696×	body	320	valid
55.0ms	474×	body	160	valid