Details

sample120.0ms

Algorithm

intervals

Results

47.0ms	802×	body	80	nan
11.0ms	17×	body	1280	valid
11.0ms	170×	body	80	valid
8.0ms	23×	body	640	valid
6.0ms	27×	body	320	valid
3.0ms	20×	body	160	valid

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	30	7
2	39	7
3	45	7
4	60	7
5	88	7
6	125	7
7	176	7
8	208	7
9	225	7
10	293	7
11	293	7

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: 10.1b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b	(* z (log (- 1.0 y)))
0.3b	(* x (log y))
6.7b	(log (- 1.0 y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

6.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
6.0ms	(* z (log (- 1.0 y)))
5.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series235.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
65.0ms	(* z (log (- 1.0 y)))
38.0ms	(* x (log y))
47.0ms	(log (- 1.0 y))

simplify47.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	436	628
1	1539	553
2	5002	530

prune239.0ms

Filtered

98 candidates to 66 candidates (67.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	89	9	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	9	99

Merged error: 0.1b

Counts

99 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
0.0b	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.0b	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.3b	(* x (log y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

6.0ms	(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
9.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
10.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
4.0ms	(* x (log y))

series459.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
105.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
132.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
37.0ms	(* x (log y))

simplify55.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	435	1202
1	1650	1138
2	5002	1111

prune334.0ms

Filtered

113 candidates to 75 candidates (66.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	113	9	122

Merged error: 0.1b

Counts

122 → 9

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt y))
0.0b	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.3b	(* x (log (sqrt y)))
0.3b	(* (log (sqrt y)) x)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

2.0ms	(log (sqrt y))
9.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
5.0ms	(* x (log (sqrt y)))
4.0ms	(* (log (sqrt y)) x)

series377.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(log (sqrt y))
105.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
87.0ms	(* x (log (sqrt y)))
117.0ms	(* (log (sqrt y)) x)

simplify50.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	406	856
1	1649	760
2	5001	744

prune389.0ms

Filtered

116 candidates to 74 candidates (63.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	116	9	125

Merged error: 0.0b

Counts

125 → 9

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
10.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series573.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* x (log (cbrt y)))
104.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
184.0ms	(cbrt y)
189.0ms	(cbrt y)

simplify55.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	345	729
1	1431	634
2	5001	547

prune480.0ms

Filtered

114 candidates to 92 candidates (80.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	114	9	123

Merged error: 0.0b

Counts

123 → 9

regimes337.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	19
1	33	19

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.5s	23982×	body	80	nan
346.0ms	5491×	body	80	valid
315.0ms	904×	body	640	valid
270.0ms	412×	body	1280	valid
163.0ms	781×	body	320	valid
61.0ms	458×	body	160	valid