Details

analyze217.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	74.9%	25.1%	6
6.2%	68.6%	25.1%	7
10.1%	64.7%	25.1%	8
17.2%	32.8%	50.1%	9
23%	26.9%	50.1%	10
26.8%	23.1%	50.1%	11
31.6%	18.3%	50.1%	12
35.2%	14.7%	50.1%	13
37.5%	12.4%	50.1%	14

sample19.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify110.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4964	12
1	4964	12

prune12.0ms

Filtered

1 candidates to 1 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: 0.1b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- y (+ (* (+ y 0.5) (log y)) z)))
0.0b	(+ (* (+ y 0.5) (log y)) z)
0.1b	(- y (+ (* (+ y 0.5) (log y)) z))
0.2b	(* (+ y 0.5) (log y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

9.0ms	(+ x (- y (+ (* (+ y 0.5) (log y)) z)))
7.0ms	(+ (* (+ y 0.5) (log y)) z)
7.0ms	(- y (+ (* (+ y 0.5) (log y)) z))
6.0ms	(* (+ y 0.5) (log y))

series59.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ x (- y (+ (* (+ y 0.5) (log y)) z)))
9.0ms	(+ (* (+ y 0.5) (log y)) z)
11.0ms	(- y (+ (* (+ y 0.5) (log y)) z))
20.0ms	(* (+ y 0.5) (log y))

simplify70.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5130	1045

prune149.0ms

Filtered

65 candidates to 89 candidates (-36.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	79	10	89
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	80	11	91

Merged error: 0b

Counts

91 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.0b	(- x (* (+ y 0.5) (log y)))
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.2b	(* (+ y 0.5) (log y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

7.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
3.0ms	(- x (* (+ y 0.5) (log y)))
5.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
6.0ms	(* (+ y 0.5) (log y))

series56.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
9.0ms	(- x (* (+ y 0.5) (log y)))
11.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
20.0ms	(* (+ y 0.5) (log y))

simplify58.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4990	1064
1	4990	1064

prune137.0ms

Filtered

67 candidates to 90 candidates (-34.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	90	11	101

Merged error: 0b

Counts

101 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ y 0.5) (* 2 (log (cbrt y))))
0.3b	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (+ y 0.5) (log (cbrt y))))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

60×	`log-prod`
54×	`distribute-rgt-in` `distribute-lft-in`
36×	`cbrt-prod`
29×	`*-un-lft-identity`
27×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`associate-+l+`
12×	`associate-+r+`
10×	`associate-*l/`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `add-log-exp`
4×	`associate-l` `frac-add`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `distribute-lft-out`
1×	`+-commutative` `associate-r` `sum-log` `*-commutative`

Counts

4 → 119

Calls

4 calls:

8.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
13.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (+ y 0.5) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series229.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
108.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (+ y 0.5) (log (cbrt y))))
27.0ms	(cbrt y)
29.0ms	(cbrt y)

simplify72.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4940	1540
1	4940	1540

prune172.0ms

Filtered

89 candidates to 131 candidates (-47.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	3	6	9
Picked	1	0	1
Done	0	1	1
Total	133	9	142

Merged error: 0b

Counts

142 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (log y) (+ 0.3333333333333333 (* y 2/3))) (* (+ y 0.5) (log (cbrt y))))
0.3b	(* (log y) (+ 0.3333333333333333 (* y 2/3)))
0.4b	(* y 2/3)
0.5b	(cbrt y)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

8.0ms	(+ (* (log y) (+ 0.3333333333333333 (* y 2/3))) (* (+ y 0.5) (log (cbrt y))))
5.0ms	(* (log y) (+ 0.3333333333333333 (* y 2/3)))
4.0ms	(* y 2/3)
1.0ms	(cbrt y)

series186.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(+ (* (log y) (+ 0.3333333333333333 (* y 2/3))) (* (+ y 0.5) (log (cbrt y))))
23.0ms	(* (log y) (+ 0.3333333333333333 (* y 2/3)))
2.0ms	(* y 2/3)
21.0ms	(cbrt y)

simplify45.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5077	1165

prune119.0ms

Filtered

71 candidates to 93 candidates (-31.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	93	9	102

Merged error: 0b

Counts

102 → 9

regimes371.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	12
1	63	12

end0.0ms

sample486.0ms

Algorithm

intervals

Results

332.0ms	7999×	body	80	valid
2.0ms	40×	body	80	invalid
0.0ms	1×	body	320	valid

Details

analyze217.0ms

sample19.0ms

simplify110.0ms

prune12.0ms

localize9.0ms

rewrite31.0ms

series59.0ms

simplify70.0ms

prune149.0ms

localize11.0ms

rewrite24.0ms

series56.0ms

simplify58.0ms

prune137.0ms

localize14.0ms

rewrite32.0ms

series229.0ms

simplify72.0ms

prune172.0ms

localize17.0ms

rewrite21.0ms

series186.0ms

simplify45.0ms

prune119.0ms

regimes371.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample486.0ms

Profiling