Details

sample131.0ms

Algorithm

intervals

Results

42.0ms	774×	body	80	nan
11.0ms	31×	body	640	valid
11.0ms	181×	body	80	valid
5.0ms	8×	body	1280	valid
4.0ms	22×	body	320	valid
2.0ms	15×	body	160	valid

simplify20.0ms

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

prune5.0ms

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: 8.0b

Counts

2 → 1

localize12.0ms

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)))
0.2b	(* x (log y))
4.8b	(log (- 1.0 y))

rewrite21.0ms

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)))
4.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series225.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
63.0ms	(* z (log (- 1.0 y)))
35.0ms	(* x (log y))
44.0ms	(log (- 1.0 y))

simplify46.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (38.0ms)

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

prune432.0ms

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

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt`
80×	`times-frac`
78×	`associate-r`
56×	`unpow-prod-down`
48×	`*-un-lft-identity`
45×	`add-cube-cbrt`
30×	`add-exp-log`
24×	`unpow2` `sqr-pow`
19×	`unswap-sqr`
12×	`log-prod` `prod-exp` `add-cbrt-cube`
11×	`pow1`
9×	`div-exp` `associate-l`
8×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow-to-exp` `pow-exp` `associate--l+`
4×	`cbrt-unprod`
3×	`associate-r/` `pow-prod-down` `-commutative` `add-log-exp`
2×	`sub-neg` `log-pow` `distribute-lft-out--`
1×	`cbrt-undiv` `flip3--` `flip--` `div-inv` `difference-of-squares`

Counts

3 → 168

Calls

3 calls:

20.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
9.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
4.0ms	(* x (log y))

series198.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
102.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
42.0ms	(* x (log y))

simplify82.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	780	1167
1	3365	997
2	5001	996

prune767.0ms

Filtered

177 candidates to 107 candidates (60.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	177	9	186

Merged error: 0.1b

Counts

186 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log y))
9.1b	(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
10.4b	(log (+ (sqrt 1.0) (sqrt y)))
10.6b	(log (- (sqrt 1.0) (sqrt y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

4.0ms	(* x (log y))
17.0ms	(+ (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)))

series851.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* x (log y))
479.0ms	(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
154.0ms	(log (+ (sqrt 1.0) (sqrt y)))
176.0ms	(log (- (sqrt 1.0) (sqrt y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	518	1019
1	1938	953
2	5001	931

prune535.0ms

Filtered

106 candidates to 70 candidates (66.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	105	10	115

Merged error: 0.0b

Counts

115 → 10

localize29.0ms

Local error

Found 4 expressions with local error:

2.9b	(log (+ (pow (sqrt 1.0) 3) (pow (sqrt y) 3)))
3.1b	(- (log (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (sqrt y) (sqrt y)) (* (sqrt 1.0) (sqrt y))))) (log (- (sqrt 1.0) (sqrt y))))
10.6b	(log (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (sqrt y) (sqrt y)) (* (sqrt 1.0) (sqrt y)))))
10.6b	(log (- (sqrt 1.0) (sqrt y)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
37×	`log-prod`
27×	`add-sqr-sqrt`
20×	`sqrt-prod`
11×	`pow1`
10×	`log-div`
9×	`add-cube-cbrt` `distribute-lft-out` `associate--r+` `difference-of-squares`
8×	`unpow-prod-down` `cube-prod` `distribute-lft-out--`
7×	`add-exp-log` `log-pow`
4×	`add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip3-+` `rem-log-exp` `associate--l+` `flip--` `flip-+`
2×	`associate--l-` `associate--r-`
1×	`sub-neg` `diff-log` `sum-cubes`

Counts

4 → 91

Calls

4 calls:

17.0ms	(log (+ (pow (sqrt 1.0) 3) (pow (sqrt y) 3)))
17.0ms	(- (log (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (sqrt y) (sqrt y)) (* (sqrt 1.0) (sqrt y))))) (log (- (sqrt 1.0) (sqrt y))))
9.0ms	(log (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (sqrt y) (sqrt y)) (* (sqrt 1.0) (sqrt y)))))
9.0ms	(log (- (sqrt 1.0) (sqrt y)))

series1.8s

Counts

4 → 12

Calls

4 calls:

238.0ms	(log (+ (pow (sqrt 1.0) 3) (pow (sqrt y) 3)))
771.0ms	(- (log (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (sqrt y) (sqrt y)) (* (sqrt 1.0) (sqrt y))))) (log (- (sqrt 1.0) (sqrt y))))
602.0ms	(log (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (sqrt y) (sqrt y)) (* (sqrt 1.0) (sqrt y)))))
174.0ms	(log (- (sqrt 1.0) (sqrt y)))

simplify86.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	820	1969
1	3743	1807
2	5001	1770

prune705.0ms

Filtered

103 candidates to 72 candidates (69.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	7	7
Picked	1	0	1
Done	0	2	2
Total	103	10	113

Merged error: 0.0b

Counts

113 → 10

regimes630.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	13
1	26	13

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.3s	24181×	body	80	nan
339.0ms	5536×	body	80	valid
301.0ms	887×	body	640	valid
293.0ms	451×	body	1280	valid
146.0ms	701×	body	320	valid
60.0ms	455×	body	160	valid

Details

sample131.0ms

simplify20.0ms

prune5.0ms

localize12.0ms

rewrite21.0ms

series225.0ms

simplify46.0ms

prune432.0ms

localize18.0ms

rewrite42.0ms

series198.0ms

simplify82.0ms

prune767.0ms

localize17.0ms

rewrite35.0ms

series851.0ms

simplify48.0ms

prune535.0ms

localize29.0ms

rewrite56.0ms

series1.8s

simplify86.0ms

prune705.0ms

regimes630.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.9s

Profiling