Details

analyze336.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6.1%	20.4%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.2%	16.6%	74.3%	14

sample52.0ms

Algorithm

intervals

Results

16.0ms	194×	body	80	valid
9.0ms	24×	body	640	valid
8.0ms	11×	body	1280	valid
4.0ms	19×	body	320	valid
1.0ms	8×	body	160	valid
0.0ms	3×	body	80	nan
0.0ms	1×	body	80	invalid

simplify103.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	5210	17

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 7.0b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.1b	(* (- x 1.0) (log y))
4.8b	(log (- 1.0 y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

37×	`log-prod`
35×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-*l/`
11×	`pow1`
10×	`associate-+r+` `associate-l`
9×	`add-exp-log`
8×	`associate-r` `add-cbrt-cube`
7×	`flip3--` `flip--` `distribute-lft-out--` `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 → 109

Calls

4 calls:

12.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
9.0ms	(* (- z 1.0) (log (- 1.0 y)))
7.0ms	(* (- x 1.0) (log y))
4.0ms	(log (- 1.0 y))

series49.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
7.0ms	(* (- z 1.0) (log (- 1.0 y)))
12.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

simplify43.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5053	1652

prune225.0ms

Filtered

92 candidates to 121 candidates (-31.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	115	6	121
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	6	122

Merged error: 0.1b

Counts

122 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

13.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))) t)
10.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
17.0ms	(* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
7.0ms	(* (- x 1.0) (log y))

series110.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))) t)
34.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
11.0ms	(* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
10.0ms	(* (- x 1.0) (log y))

simplify60.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4983	4006
1	4983	4006

prune361.0ms

Filtered

99 candidates to 123 candidates (-24.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	120	3	123
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	121	8	129

Merged error: 0.1b

Counts

129 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (- (* y (* y 0.5)) (+ (* 1.0 (* y z)) (* z (* y (* y 0.5)))))) t)
0.0b	(+ (* 1.0 (* y z)) (* z (* y (* y 0.5))))
0.1b	(* (- x 1.0) (log y))
6.6b	(* z (* y (* y 0.5)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

17.0ms	(- (+ (* (- x 1.0) (log y)) (- (* y (* y 0.5)) (+ (* 1.0 (* y z)) (* z (* y (* y 0.5)))))) t)
6.0ms	(+ (* 1.0 (* y z)) (* z (* y (* y 0.5))))
7.0ms	(* (- x 1.0) (log y))
6.0ms	(* z (* y (* y 0.5)))

series65.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (+ (* (- x 1.0) (log y)) (- (* y (* y 0.5)) (+ (* 1.0 (* y z)) (* z (* y (* y 0.5)))))) t)
8.0ms	(+ (* 1.0 (* y z)) (* z (* y (* y 0.5))))
10.0ms	(* (- x 1.0) (log y))
8.0ms	(* z (* y (* y 0.5)))

simplify67.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4991	1259
1	4991	1259

prune154.0ms

Filtered

61 candidates to 91 candidates (-49.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	91	8	99

Merged error: 0.1b

Counts

99 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* (log y) (- x 1.0)) (- (* y (* y 0.5)) (+ (* z (* y (+ (* y 0.5) 1.0))) t)))) (cbrt (+ (* (log y) (- x 1.0)) (- (* y (* y 0.5)) (+ (* z (* y (+ (* y 0.5) 1.0))) t)))))
0.5b	(cbrt (+ (* (log y) (- x 1.0)) (- (* y (* y 0.5)) (+ (* z (* y (+ (* y 0.5) 1.0))) t))))
0.5b	(cbrt (+ (* (log y) (- x 1.0)) (- (* y (* y 0.5)) (+ (* z (* y (+ (* y 0.5) 1.0))) t))))
0.5b	(cbrt (+ (* (log y) (- x 1.0)) (- (* y (* y 0.5)) (+ (* z (* y (+ (* y 0.5) 1.0))) t))))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

102×	`cbrt-div`
74×	`associate-*r/`
68×	`flip3--` `frac-add` `flip--`
36×	`frac-times`
25×	`cbrt-prod`
23×	`add-sqr-sqrt`
17×	`flip3-+` `flip-+`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l` `associate-*l/`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 139

Calls

4 calls:

38.0ms	(* (cbrt (+ (* (log y) (- x 1.0)) (- (* y (* y 0.5)) (+ (* z (* y (+ (* y 0.5) 1.0))) t)))) (cbrt (+ (* (log y) (- x 1.0)) (- (* y (* y 0.5)) (+ (* z (* y (+ (* y 0.5) 1.0))) t)))))
15.0ms	(cbrt (+ (* (log y) (- x 1.0)) (- (* y (* y 0.5)) (+ (* z (* y (+ (* y 0.5) 1.0))) t))))
16.0ms	(cbrt (+ (* (log y) (- x 1.0)) (- (* y (* y 0.5)) (+ (* z (* y (+ (* y 0.5) 1.0))) t))))
15.0ms	(cbrt (+ (* (log y) (- x 1.0)) (- (* y (* y 0.5)) (+ (* z (* y (+ (* y 0.5) 1.0))) t))))

series335.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (cbrt (+ (* (log y) (- x 1.0)) (- (* y (* y 0.5)) (+ (* z (* y (+ (* y 0.5) 1.0))) t)))) (cbrt (+ (* (log y) (- x 1.0)) (- (* y (* y 0.5)) (+ (* z (* y (+ (* y 0.5) 1.0))) t)))))
70.0ms	(cbrt (+ (* (log y) (- x 1.0)) (- (* y (* y 0.5)) (+ (* z (* y (+ (* y 0.5) 1.0))) t))))
68.0ms	(cbrt (+ (* (log y) (- x 1.0)) (- (* y (* y 0.5)) (+ (* z (* y (+ (* y 0.5) 1.0))) t))))
73.0ms	(cbrt (+ (* (log y) (- x 1.0)) (- (* y (* y 0.5)) (+ (* z (* y (+ (* y 0.5) 1.0))) t))))

simplify101.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5020	12175

prune851.0ms

Filtered

118 candidates to 151 candidates (-28.0%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	148	3	151
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	148	11	159

Merged error: 0.1b

Counts

159 → 11

regimes752.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	124	28
1	124	28

end0.0ms

sample1.4s

Algorithm

intervals

Results

415.0ms	5868×	body	80	valid
272.0ms	740×	body	640	valid
182.0ms	262×	body	1280	valid
164.0ms	700×	body	320	valid
65.0ms	430×	body	160	valid
20.0ms	254×	body	80	nan
2.0ms	27×	body	80	invalid

Details

analyze336.0ms

sample52.0ms

simplify103.0ms

prune9.0ms

localize14.0ms

rewrite36.0ms

series49.0ms

simplify43.0ms

prune225.0ms

localize19.0ms

rewrite51.0ms

series110.0ms

simplify60.0ms

prune361.0ms

localize19.0ms

rewrite38.0ms

series65.0ms

simplify67.0ms

prune154.0ms

localize21.0ms

rewrite94.0ms

series335.0ms

simplify101.0ms

prune851.0ms

regimes752.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

Profiling