Details

analyze246.0ms

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

sample21.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify113.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	4964	12
1	4964	12

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

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))

rewrite35.0ms

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:

12.0ms	(+ 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))

series57.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ 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))

simplify53.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5130	1045

prune127.0ms

Filtered

65 candidates to 89 candidates (-36.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	82	7	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	8	90

Merged error: 0.0b

Counts

90 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(- y (+ (+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (+ y 0.5) (log (cbrt y)))) z))
0.3b	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (+ y 0.5) (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod` `associate-+l+`
23×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
15×	`add-log-exp`
12×	`associate-+r+`
8×	`associate-*l/`
5×	`flip3-+` `flip-+`
4×	`pow1` `add-exp-log` `frac-add` `sum-log` `add-cbrt-cube`
3×	`diff-log`
2×	`pow1/3` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `flip--` `associate--r+` `difference-of-squares`

Counts

4 → 91

Calls

4 calls:

11.0ms	(- y (+ (+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (+ y 0.5) (log (cbrt y)))) z))
13.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (+ y 0.5) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series175.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- y (+ (+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (+ y 0.5) (log (cbrt y)))) z))
105.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (+ y 0.5) (log (cbrt y))))
21.0ms	(cbrt y)
23.0ms	(cbrt y)

simplify46.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4970	1156
1	4970	1156

prune150.0ms

Filtered

81 candidates to 103 candidates (-27.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	103	8	111

Merged error: 0b

Counts

111 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 47

Calls

4 calls:

2.0ms	(cbrt (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series96.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt (cbrt y))
24.0ms	(cbrt y)
21.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify36.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4926	241
1	4926	241

prune99.0ms

Filtered

43 candidates to 59 candidates (-37.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	59	8	67

Merged error: 0b

Counts

67 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5)))) z)
0.1b	(- y (+ (* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5)))) z))
0.4b	(* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5))))
0.4b	(* (log y) (sqrt (+ y 0.5)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`sqrt-div`
12×	`pow1`
11×	`add-exp-log` `associate-l` `add-cbrt-cube` `add-log-exp`
10×	`associate-*r/`
9×	`add-cube-cbrt` `sqrt-prod`
8×	`flip3-+` `associate-r` `flip-+`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`diff-log` `associate-l/` `sum-log` `-commutative` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `sub-neg` `flip3--` `log-pow` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 82

Calls

4 calls:

12.0ms	(+ (* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5)))) z)
12.0ms	(- y (+ (* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5)))) z))
11.0ms	(* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5))))
7.0ms	(* (log y) (sqrt (+ y 0.5)))

series54.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5)))) z)
11.0ms	(- y (+ (* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5)))) z))
20.0ms	(* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5))))
14.0ms	(* (log y) (sqrt (+ y 0.5)))

simplify30.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5223	1332

prune127.0ms

Filtered

66 candidates to 94 candidates (-42.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	94	8	102

Merged error: 0b

Counts

102 → 8

regimes195.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	72	12
1	72	12

end0.0ms

sample546.0ms

Algorithm

intervals

Results

369.0ms	7999×	body	80	valid
1.0ms	32×	body	80	invalid
0.0ms	1×	body	640	valid

Details

analyze246.0ms

sample21.0ms

simplify113.0ms

prune8.0ms

localize9.0ms

rewrite35.0ms

series57.0ms

simplify53.0ms

prune127.0ms

localize14.0ms

rewrite31.0ms

series175.0ms

simplify46.0ms

prune150.0ms

localize22.0ms

rewrite6.0ms

series96.0ms

simplify36.0ms

prune99.0ms

localize11.0ms

rewrite45.0ms

series54.0ms

simplify30.0ms

prune127.0ms

regimes195.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample546.0ms

Profiling