Details

analyze307.0ms

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

sample50.0ms

Algorithm

intervals

Results

12.0ms	183×	body	80	valid
11.0ms	31×	body	640	valid
6.0ms	9×	body	1280	valid
5.0ms	25×	body	320	valid
3.0ms	8×	body	160	valid
1.0ms	12×	body	80	nan
0.0ms	1×	body	80	invalid

simplify185.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (183.0ms)

Iter	Nodes	Cost
0	5378	13

prune8.0ms

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: 8.8b

Counts

2 → 1

localize11.0ms

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)))
0.3b	(* x (log y))
4.4b	(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 → 85

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))

series38.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
8.0ms	(* z (log (- 1.0 y)))
7.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

simplify47.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4957	979
1	4957	979

prune168.0ms

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: 0.1b

Counts

98 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z (- (log 1.0) (* 1.0 y))) (* (* 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))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

9.0ms	(+ (* z (- (log 1.0) (* 1.0 y))) (* (* 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)))
7.0ms	(* y (/ (* y z) (* 1.0 1.0)))
4.0ms	(* x (log y))

series48.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ (* z (- (log 1.0) (* 1.0 y))) (* (* 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)))
9.0ms	(* x (log y))

simplify33.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5172	1745

prune197.0ms

Filtered

75 candidates to 106 candidates (-41.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	103	3	106
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	106	8	114

Merged error: 0.1b

Counts

114 → 8

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series91.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt y) (cbrt y))
21.0ms	(cbrt y)
21.0ms	(cbrt y)
23.0ms	(cbrt y)

simplify46.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5165	356

prune164.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.2b	(pow y 1/3)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series90.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt y) (cbrt y))
21.0ms	(cbrt y)
23.0ms	(cbrt y)
20.0ms	(pow y 1/3)

simplify58.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5150	324

prune141.0ms

Filtered

55 candidates to 92 candidates (-67.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	92	8	100

Merged error: 0.0b

Counts

100 → 8

regimes346.0ms

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	38
1	71	38

end0.0ms

sample1.4s

Algorithm

intervals

Results

356.0ms	5544×	body	80	valid
308.0ms	874×	body	640	valid
272.0ms	412×	body	1280	valid
155.0ms	724×	body	320	valid
58.0ms	446×	body	160	valid
19.0ms	277×	body	80	nan
2.0ms	30×	body	80	invalid

Details

analyze307.0ms

sample50.0ms

simplify185.0ms

prune8.0ms

localize11.0ms

rewrite21.0ms

series38.0ms

simplify47.0ms

prune168.0ms

localize18.0ms

rewrite33.0ms

series48.0ms

simplify33.0ms

prune197.0ms

localize26.0ms

rewrite11.0ms

series91.0ms

simplify46.0ms

prune164.0ms

localize33.0ms

rewrite12.0ms

series90.0ms

simplify58.0ms

prune141.0ms

regimes346.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

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