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

sample46.0ms

Algorithm

intervals

Results

14.0ms	196×	body	80	valid
9.0ms	24×	body	640	valid
6.0ms	27×	body	320	valid
4.0ms	5×	body	1280	valid
1.0ms	4×	body	160	valid
0.0ms	4×	body	80	nan
0.0ms	2×	body	80	invalid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	5210	17

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: 7.5b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.1b	(* (- x 1.0) (log y))
4.5b	(log (- 1.0 y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`log-prod`
12×	`add-cube-cbrt`
10×	`pow1` `associate-l`
8×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate-r`
7×	`add-cbrt-cube`
5×	`distribute-lft-out--` `difference-of-squares`
4×	`associate-*l/`
3×	`flip3--` `log-pow` `flip--` `add-log-exp`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`rem-log-exp`

Counts

3 → 78

Calls

3 calls:

9.0ms	(* (- z 1.0) (log (- 1.0 y)))
7.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

series23.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* (- z 1.0) (log (- 1.0 y)))
9.0ms	(* (- x 1.0) (log y))
7.0ms	(log (- 1.0 y))

simplify91.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4958	899
1	4958	899

prune165.0ms

Filtered

60 candidates to 87 candidates (-45.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	79	8	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	8	88

Merged error: 0.0b

Counts

88 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

25×	`associate-*l/`
22×	`add-exp-log` `add-cbrt-cube`
21×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`flip3--` `flip--`
16×	`frac-add`
15×	`pow1`
13×	`add-cube-cbrt`
12×	`frac-times` `log-prod` `associate-r`
11×	`associate-l`
10×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
8×	`distribute-rgt-in` `distribute-lft-in`
7×	`associate-*r/`
6×	`associate-+l+` `add-log-exp`
5×	`pow-prod-down`
3×	`*-commutative`
2×	`cbrt-undiv` `associate-+r+` `div-exp` `log-pow` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `sum-log`

Counts

4 → 119

Calls

4 calls:

10.0ms	(* (* y (/ y (* 1.0 1.0))) -1/2)
10.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
15.0ms	(* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
7.0ms	(* (- x 1.0) (log y))

series56.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* y (/ y (* 1.0 1.0))) -1/2)
33.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
11.0ms	(* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
9.0ms	(* (- x 1.0) (log y))

simplify47.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5025	3613

prune375.0ms

Filtered

99 candidates to 131 candidates (-32.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	127	4	131
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	131	8	139

Merged error: 0.0b

Counts

139 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (log y)) (cbrt (log y)))
0.5b	(cbrt (log y))
0.5b	(cbrt (log y))
0.5b	(cbrt (log y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 81

Calls

4 calls:

6.0ms	(* (cbrt (log y)) (cbrt (log y)))
1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))

series145.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (cbrt (log y)) (cbrt (log y)))
34.0ms	(cbrt (log y))
36.0ms	(cbrt (log y))
35.0ms	(cbrt (log y))

simplify53.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4922	500
1	4922	500

prune161.0ms

Filtered

57 candidates to 93 candidates (-63.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	93	8	101

Merged error: 0b

Counts

101 → 8

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (- x 1.0) (cbrt (pow (log y) 2))) (cbrt (log y)))
0.5b	(pow (log y) 2)
0.5b	(cbrt (pow (log y) 2))
0.5b	(cbrt (log y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

17×	`cbrt-prod`
14×	`pow1`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log`
8×	`unpow-prod-down`
7×	`associate-r`
6×	`add-cbrt-cube`
4×	`associate-*l/` `log-pow` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `flip3--` `pow-pow` `associate-l` `pow-exp` `*-commutative` `flip--`

Counts

4 → 72

Calls

4 calls:

10.0ms	(* (* (- x 1.0) (cbrt (pow (log y) 2))) (cbrt (log y)))
2.0ms	(pow (log y) 2)
2.0ms	(cbrt (pow (log y) 2))
1.0ms	(cbrt (log y))

series99.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (* (- x 1.0) (cbrt (pow (log y) 2))) (cbrt (log y)))
14.0ms	(pow (log y) 2)
38.0ms	(cbrt (pow (log y) 2))
36.0ms	(cbrt (log y))

simplify52.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5097	641

prune136.0ms

Filtered

53 candidates to 84 candidates (-58.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	84	8	92

Merged error: 0b

Counts

92 → 8

regimes503.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	72	36
1	72	36

end0.0ms

sample1.4s

Algorithm

intervals

Results

420.0ms	5861×	body	80	valid
277.0ms	748×	body	640	valid
167.0ms	248×	body	1280	valid
159.0ms	687×	body	320	valid
65.0ms	456×	body	160	valid
20.0ms	251×	body	80	nan
2.0ms	25×	body	80	invalid

Details

analyze335.0ms

sample46.0ms

simplify104.0ms

prune8.0ms

localize13.0ms

rewrite21.0ms

series23.0ms

simplify91.0ms

prune165.0ms

localize19.0ms

rewrite46.0ms

series56.0ms

simplify47.0ms

prune375.0ms

localize24.0ms

rewrite12.0ms

series145.0ms

simplify53.0ms

prune161.0ms

localize26.0ms

rewrite18.0ms

series99.0ms

simplify52.0ms

prune136.0ms

regimes503.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

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