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%	20.5%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.1%	16.6%	74.3%	14

sample49.0ms

Algorithm

intervals

Results

12.0ms	178×	body	80	valid
11.0ms	32×	body	640	valid
5.0ms	24×	body	320	valid
5.0ms	8×	body	1280	valid
2.0ms	14×	body	160	valid
0.0ms	7×	body	80	nan
0.0ms	1×	body	80	invalid

simplify190.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (188.0ms)

Iter	Nodes	Cost
0	5378	13

prune11.0ms

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: 8.0b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (log (- 1.0 y)))
0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.3b	(* x (log y))
3.3b	(log (- 1.0 y))

rewrite22.0ms

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 → 85

Calls

4 calls:

6.0ms	(* z (log (- 1.0 y)))
6.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
4.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series37.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* z (log (- 1.0 y)))
19.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
7.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

simplify51.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4957	979
1	4957	979

prune174.0ms

Filtered

69 candidates to 97 candidates (-40.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	89	8	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	8	98

Merged error: 0.0b

Counts

98 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
15×	`pow1`
13×	`add-cube-cbrt`
12×	`log-prod` `associate-r`
10×	`prod-exp` `cbrt-unprod`
8×	`distribute-rgt-in` `distribute-lft-in`
7×	`associate-l`
6×	`associate-+l+` `add-log-exp`
5×	`pow-prod-down`
3×	`associate-r/` `-commutative`
2×	`cbrt-undiv` `associate-+r+` `flip3-+` `div-exp` `log-pow` `flip-+` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `associate-*l/` `sum-log`

Counts

4 → 91

Calls

4 calls:

8.0ms	(* (* y (/ y (* 1.0 1.0))) -1/2)
12.0ms	(* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
5.0ms	(+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
4.0ms	(* x (log y))

series49.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* y (/ y (* 1.0 1.0))) -1/2)
16.0ms	(* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
23.0ms	(+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
7.0ms	(* x (log y))

simplify44.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5005	1384

prune188.0ms

Filtered

69 candidates to 103 candidates (-49.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	102	9	111

Merged error: 0.0b

Counts

111 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* y (/ (* y z) (* 1.0 1.0))) -1/2)
0.0b	(+ (* x (log y)) (+ (* z (- (log 1.0) (* 1.0 y))) (* (* y (/ (* y z) (* 1.0 1.0))) -1/2)))
0.1b	(* y (/ (* y z) (* 1.0 1.0)))
0.3b	(* x (log y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log` `add-cbrt-cube`
25×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
14×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`log-prod` `associate-r`
9×	`add-log-exp`
8×	`cbrt-undiv` `div-exp`
7×	`associate-l`
6×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
5×	`pow-prod-down`
3×	`sum-log` `*-commutative`
2×	`associate-*r/` `unswap-sqr`
1×	`+-commutative` `associate-+r+` `flip3-+` `times-frac` `associate-*l/` `log-pow` `flip-+` `div-inv`

Counts

4 → 100

Calls

4 calls:

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

series38.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (* y (/ (* y z) (* 1.0 1.0))) -1/2)
23.0ms	(+ (* x (log y)) (+ (* z (- (log 1.0) (* 1.0 y))) (* (* y (/ (* y z) (* 1.0 1.0))) -1/2)))
4.0ms	(* y (/ (* y z) (* 1.0 1.0)))
7.0ms	(* x (log y))

simplify31.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5245	1453

prune174.0ms

Filtered

69 candidates to 112 candidates (-62.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	112	9	121

Merged error: 0.0b

Counts

121 → 9

localize23.0ms

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))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite20.0ms

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)

series82.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* x (log (cbrt y)))
20.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
23.0ms	(cbrt y)
20.0ms	(cbrt y)

simplify65.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4881	844
1	4881	844

prune186.0ms

Filtered

87 candidates to 114 candidates (-31.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	111	3	114
Fresh	4	3	7
Picked	1	0	1
Done	0	1	1
Total	116	7	123

Merged error: 0.0b

Counts

123 → 7

regimes322.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	71	35
1	71	35

end0.0ms

sample1.5s

Algorithm

intervals

Results

385.0ms	5540×	body	80	valid
316.0ms	868×	body	640	valid
296.0ms	442×	body	1280	valid
153.0ms	684×	body	320	valid
64.0ms	466×	body	160	valid
18.0ms	271×	body	80	nan
2.0ms	36×	body	80	invalid

Details

analyze336.0ms

sample49.0ms

simplify190.0ms

prune11.0ms

localize11.0ms

rewrite22.0ms

series37.0ms

simplify51.0ms

prune174.0ms

localize19.0ms

rewrite32.0ms

series49.0ms

simplify44.0ms

prune188.0ms

localize19.0ms

rewrite36.0ms

series38.0ms

simplify31.0ms

prune174.0ms

localize23.0ms

rewrite20.0ms

series82.0ms

simplify65.0ms

prune186.0ms

regimes322.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.5s

Profiling