Details

analyze335.0ms

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

sample54.0ms

Algorithm

intervals

Results

12.0ms	35×	body	640	valid
12.0ms	170×	body	80	valid
10.0ms	13×	body	1280	valid
5.0ms	24×	body	320	valid
2.0ms	14×	body	160	valid
0.0ms	4×	body	80	nan

simplify101.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (99.0ms)

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: 7.7b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.1b	(* (- x 1.0) (log y))
5.1b	(log (- 1.0 y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`log-prod`
13×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-l`
9×	`add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cbrt-cube`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`flip3--` `associate-*l/` `flip--`
3×	`log-pow`
2×	`log-div` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rem-log-exp` `associate--l+` `sum-log`

Counts

4 → 93

Calls

4 calls:

11.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
11.0ms	(* (- z 1.0) (log (- 1.0 y)))
7.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

series56.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
7.0ms	(* (- z 1.0) (log (- 1.0 y)))
10.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

simplify54.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4979	1314
1	4979	1314

prune205.0ms

Filtered

77 candidates to 105 candidates (-36.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	97	8	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	8	106

Merged error: 0.1b

Counts

106 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

9.0ms	(* (* (/ y 1.0) (/ y 1.0)) -1/2)
14.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))) t)
10.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y)))))
9.0ms	(* (- x 1.0) (log y))

series100.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* (/ y 1.0) (/ y 1.0)) -1/2)
53.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))) t)
34.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y)))))
10.0ms	(* (- x 1.0) (log y))

simplify87.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4952	3589
1	4952	3589

prune310.0ms

Filtered

87 candidates to 119 candidates (-36.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	116	3	119
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	120	7	127

Merged error: 0.1b

Counts

127 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 1.0) (log (cbrt y)))
0.3b	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
28×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt` `associate-+l+`
12×	`associate-+r+`
10×	`associate-*l/`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`flip3--` `associate-r` `associate-l` `flip--`
4×	`frac-add`
3×	`pow1/3`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 110

Calls

4 calls:

8.0ms	(* (- x 1.0) (log (cbrt y)))
14.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series114.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- x 1.0) (log (cbrt y)))
38.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
23.0ms	(cbrt y)
26.0ms	(cbrt y)

simplify83.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4931	1256
1	4931	1256

prune275.0ms

Filtered

96 candidates to 122 candidates (-27.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	122	7	129

Merged error: 0.1b

Counts

129 → 7

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

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

series122.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt y)
22.0ms	(cbrt y)
40.0ms	(cbrt (cbrt y))
36.0ms	(cbrt (cbrt y))

simplify34.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4926	282
1	4926	282

prune108.0ms

Filtered

46 candidates to 62 candidates (-34.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	62	7	69

Merged error: 0.1b

Counts

69 → 7

regimes478.0ms

Accuracy

0% (0.4b 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	76	46
1	76	46

end0.0ms

sample1.3s

Algorithm

intervals

Results

405.0ms	5877×	body	80	valid
270.0ms	743×	body	640	valid
197.0ms	294×	body	1280	valid
151.0ms	671×	body	320	valid
58.0ms	415×	body	160	valid
19.0ms	258×	body	80	nan
2.0ms	35×	body	80	invalid

Details

analyze335.0ms

sample54.0ms

simplify101.0ms

prune9.0ms

localize13.0ms

rewrite35.0ms

series56.0ms

simplify54.0ms

prune205.0ms

localize18.0ms

rewrite46.0ms

series100.0ms

simplify87.0ms

prune310.0ms

localize24.0ms

rewrite29.0ms

series114.0ms

simplify83.0ms

prune275.0ms

localize29.0ms

rewrite7.0ms

series122.0ms

simplify34.0ms

prune108.0ms

regimes478.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.3s

Profiling